Quotient of sum of exps

Time bar (total: 3.5s)

start0.0ms (0%)

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

analyze22.0ms (0.6%)

Memory
-26.7MiB live, 15.9MiB allocated; 19ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
50%50%50%0.1%0%0%0%2
75%74.9%25%0.1%0%0%0%3
87.5%87.4%12.5%0.1%0%0%0%4
93.8%93.7%6.2%0.1%0%0%0%5
93.8%93.7%6.2%0.1%0%0%0%6
95.2%93.7%4.7%0.1%0%1.6%0%7
96%93.7%3.9%0.1%0%2.3%0%8
97.2%93.7%2.7%0.1%0%3.5%0%9
97.8%93.7%2.1%0.1%0%4.1%0%10
98.5%93.7%1.5%0.1%0%4.8%0%11
98.8%93.7%1.1%0.1%0%5.1%0%12
Compiler

Compiled 10 to 8 computations (20% saved)

sample1.1s (31.9%)

Memory
56.4MiB live, 1 608.1MiB allocated; 258ms collecting garbage
Samples
510.0ms8 256×0valid
220.0ms2 953×0exit
Precisions
Click to see histograms. Total time spent on operations: 399.0ms
ival-exp: 217.0ms (54.4% of total)
ival-div: 93.0ms (23.3% of total)
ival-add: 82.0ms (20.5% of total)
ival-assert: 4.0ms (1% of total)
adjust: 3.0ms (0.8% of total)
Bogosity

explain84.0ms (2.4%)

Memory
-21.3MiB live, 188.7MiB allocated; 20ms 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/o20
(exp.f64 a)overflow2
(+.f64 (exp.f64 a) (exp.f64 b))overflow78
(exp.f64 a)overflow2
(exp.f64 b)overflow76
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
27.0ms512×0valid
Compiler

Compiled 50 to 22 computations (56% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-exp: 7.0ms (51.7% of total)
ival-div: 3.0ms (22.2% of total)
ival-add: 2.0ms (14.8% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess154.0ms (4.4%)

Memory
-12.1MiB live, 221.4MiB allocated; 25ms 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
0.9MiB live, 0.9MiB 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
15.9MiB live, 15.9MiB allocated; 0ms collecting garbage
Counts
6 → 30
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(exp.f64 a)
a
(+.f64 (exp.f64 a) (exp.f64 b))
(exp.f64 b)
b
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (exp a) #s(hole binary64 1))
#s(approx (exp a) #s(hole binary64 (+ 1 a)))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx a #s(hole binary64 a))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ (exp a) (exp b)))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (exp b) #s(hole binary64 1))
#s(approx (exp b) #s(hole binary64 (+ 1 b)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx b #s(hole binary64 b))
#s(approx (exp b) #s(hole binary64 (exp b)))
Calls

6 calls:

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

rewrite187.0ms (5.4%)

Memory
79.7MiB live, 348.4MiB allocated; 40ms 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))

eval19.0ms (0.5%)

Memory
-21.4MiB live, 17.2MiB allocated; 14ms collecting garbage
Compiler

Compiled 1 313 to 267 computations (79.7% saved)

prune5.0ms (0.1%)

Memory
14.6MiB live, 14.6MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New60565
Fresh000
Picked101
Done000
Total61566
Accuracy
99.4%
Counts
66 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
67.2%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
71.8%
(+.f64 (/.f64 (cosh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) (/.f64 (sinh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))))
83.9%
#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))))
65.5%
#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)))))
83.2%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))
Compiler

Compiled 198 to 124 computations (37.4% saved)

series201.0ms (5.8%)

Memory
-3.6MiB live, 153.8MiB allocated; 166ms collecting garbage
Counts
33 → 149
Calls
Call 1
Inputs
#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))))
(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)))
(-.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)))
(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)
(pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))
#s(literal -2 binary64)
a
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(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)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (neg.f64 b) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
(fma.f64 (neg.f64 b) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(neg.f64 b)
(exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))
(-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))
(*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))
(log1p.f64 (exp.f64 a))
#s(literal 2 binary64)
(/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64)))
(-.f64 (exp.f64 a) #s(literal -1 binary64))
(+.f64 (/.f64 (cosh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) (/.f64 (sinh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))))
(/.f64 (cosh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(cosh.f64 a)
(+.f64 (exp.f64 b) (exp.f64 a))
(/.f64 (sinh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(sinh.f64 a)
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx a #s(hole binary64 a))
#s(approx (exp a) #s(hole binary64 1))
#s(approx (exp a) #s(hole binary64 (+ 1 a)))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (* -1 (* b (exp (neg (* 2 (log 2)))))))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* -1 (* b (exp (neg (* 2 (log 2)))))) (* 1/4 a)))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* -1 (* b (exp (neg (* 2 (log 2)))))) (* a (+ 1/4 (* 1/4 (* a (* b (exp (neg (* 2 (log 2)))))))))))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* -1 (* b (exp (neg (* 2 (log 2)))))) (* a (+ 1/4 (* a (+ (* -1/48 a) (* 1/4 (* b (exp (neg (* 2 (log 2))))))))))))))
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) #s(hole binary64 (exp (neg (* 2 (log 2))))))
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) #s(hole binary64 (+ (exp (neg (* 2 (log 2)))) (* -1/4 (* (pow a 2) (exp (neg (* 2 (log 2)))))))))
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) #s(hole binary64 (+ (exp (neg (* 2 (log 2)))) (* (pow a 2) (+ (* -1/4 (exp (neg (* 2 (log 2))))) (* 1/24 (* (pow a 2) (exp (neg (* 2 (log 2)))))))))))
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) #s(hole binary64 (+ (exp (neg (* 2 (log 2)))) (* (pow a 2) (+ (* -1/4 (exp (neg (* 2 (log 2))))) (* (pow a 2) (+ (* -17/2880 (* (pow a 2) (exp (neg (* 2 (log 2)))))) (* 1/24 (exp (neg (* 2 (log 2))))))))))))
#s(approx (- a (* (log (+ 1 (exp a))) 2)) #s(hole binary64 (* -2 (log 2))))
#s(approx (- a (* (log (+ 1 (exp a))) 2)) #s(hole binary64 (- (* -1/4 (pow a 2)) (* 2 (log 2)))))
#s(approx (- a (* (log (+ 1 (exp a))) 2)) #s(hole binary64 (- (* (pow a 2) (- (* 1/96 (pow a 2)) 1/4)) (* 2 (log 2)))))
#s(approx (- a (* (log (+ 1 (exp a))) 2)) #s(hole binary64 (- (* (pow a 2) (- (* (pow a 2) (+ 1/96 (* -1/1440 (pow a 2)))) 1/4)) (* 2 (log 2)))))
#s(approx (* (log (+ 1 (exp a))) 2) #s(hole binary64 (* 2 (log 2))))
#s(approx (* (log (+ 1 (exp a))) 2) #s(hole binary64 (+ a (* 2 (log 2)))))
#s(approx (* (log (+ 1 (exp a))) 2) #s(hole binary64 (+ (* 2 (log 2)) (* a (+ 1 (* 1/4 a))))))
#s(approx (* (log (+ 1 (exp a))) 2) #s(hole binary64 (+ (* 2 (log 2)) (* a (+ 1 (* a (+ 1/4 (* -1/96 (pow a 2)))))))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* 1/2 a))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* 1/8 a))))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))))
#s(approx (/ (exp a) (- (exp a) -1)) #s(hole binary64 1/2))
#s(approx (/ (exp a) (- (exp a) -1)) #s(hole binary64 (+ 1/2 (* 1/4 a))))
#s(approx (/ (exp a) (- (exp a) -1)) #s(hole binary64 (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))))
#s(approx (/ (exp a) (- (exp a) -1)) #s(hole binary64 (+ 1/2 (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))))))
#s(approx (- (exp a) -1) #s(hole binary64 2))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 a)))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 (* a (+ 1 (* 1/2 a))))))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (+ (/ (cosh a) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (+ (/ (cosh a) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (+ (/ (cosh a) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) #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) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 7/6 (/ 1 (pow (+ 1 (exp b)) 2))) (/ 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) (+ (exp b) (exp a))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ (cosh a) (+ (exp b) (exp a))) #s(hole binary64 (+ (* -1 (/ a (pow (+ 1 (exp b)) 2))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (cosh a) (+ (exp b) (exp a))) #s(hole binary64 (+ (* a (- (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (cosh a) (+ (exp b) (exp a))) #s(hole binary64 (+ (* a (- (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (/ 1 (pow (+ 1 (exp b)) 3)) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (/ 1 (pow (+ 1 (exp b)) 4)))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#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 (+ (exp b) (exp a)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (exp b) (exp a)) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (+ (exp b) (exp a)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (exp b) (exp a)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))
#s(approx (/ (sinh a) (+ (exp b) (exp a))) #s(hole binary64 (/ a (+ 1 (exp b)))))
#s(approx (/ (sinh a) (+ (exp b) (exp a))) #s(hole binary64 (* a (+ (* -1 (/ a (pow (+ 1 (exp b)) 2))) (/ 1 (+ 1 (exp b)))))))
#s(approx (/ (sinh a) (+ (exp b) (exp a))) #s(hole binary64 (* a (+ (* a (- (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))))))
#s(approx (/ (sinh a) (+ (exp b) (exp a))) #s(hole binary64 (* a (+ (* a (- (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (+ (* a (- (/ 1 (pow (+ 1 (exp b)) 3)) (+ (* 1/3 (/ 1 (pow (+ 1 (exp b)) 2))) (/ 1 (pow (+ 1 (exp b)) 4))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))))))
#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 (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) #s(hole binary64 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))))
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) #s(hole binary64 (* a (- (+ (/ 1 (* a (+ 1 (exp b)))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2))))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ (* -1 (* b (exp (- a (* 2 (log (+ 1 (exp a)))))))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) #s(hole binary64 (exp (- a (* 2 (log (+ 1 (exp a))))))))
#s(approx (- a (* (log (+ 1 (exp a))) 2)) #s(hole binary64 a))
#s(approx (- a (* (log (+ 1 (exp a))) 2)) #s(hole binary64 (* a (+ 1 (* -2 (/ (log (+ 1 (exp a))) a))))))
#s(approx (* (log (+ 1 (exp a))) 2) #s(hole binary64 (* 2 (log (+ 1 (exp a))))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (/ (exp a) (- (exp a) -1)) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (/ (cosh a) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) #s(hole binary64 (+ (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (+ (exp a) (exp b)))) (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (+ (exp a) (exp b)))))))
#s(approx (/ (cosh a) (+ (exp b) (exp a))) #s(hole binary64 (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (+ (exp a) (exp b))))))
#s(approx (cosh a) #s(hole binary64 (* 1/2 (+ (exp a) (/ 1 (exp a))))))
#s(approx (+ (exp b) (exp a)) #s(hole binary64 (+ (exp a) (exp b))))
#s(approx (/ (sinh a) (+ (exp b) (exp a))) #s(hole binary64 (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (+ (exp a) (exp b))))))
#s(approx (sinh a) #s(hole binary64 (* 1/2 (- (exp a) (/ 1 (exp a))))))
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) #s(hole binary64 (* -1 (* a (- (* -1 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (* a (+ 1 (exp b)))))))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ (* -1 (* b (exp (neg (+ (* -1 a) (* 2 (log (+ 1 (exp a))))))))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) #s(hole binary64 (exp (neg (+ (* -1 a) (* 2 (log (+ 1 (exp a)))))))))
#s(approx (- a (* (log (+ 1 (exp a))) 2)) #s(hole binary64 (* -1 (* a (- (* 2 (/ (log (+ 1 (exp a))) a)) 1)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) #s(hole binary64 (+ 1/2 (* 1/4 a))))
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* 1/4 a)))))
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) #s(hole binary64 (+ 1/2 (+ (* 1/4 a) (* b (- (* -1/16 (* a b)) 1/4))))))
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) #s(hole binary64 (+ 1/2 (+ (* 1/4 a) (* b (- (* b (+ (* -1/16 a) (* 1/48 b))) 1/4))))))
#s(approx (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) #s(hole binary64 1/4))
#s(approx (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) #s(hole binary64 (+ 1/4 (* -1/16 (pow b 2)))))
#s(approx (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) #s(hole binary64 (+ 1/4 (* (pow b 2) (- (* 1/96 (pow b 2)) 1/16)))))
#s(approx (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) #s(hole binary64 (+ 1/4 (* (pow b 2) (- (* (pow b 2) (+ 1/96 (* -17/11520 (pow b 2)))) 1/16)))))
#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 (pow (- (exp b) -1) -2) #s(hole binary64 1/4))
#s(approx (pow (- (exp b) -1) -2) #s(hole binary64 (+ 1/4 (* -1/4 b))))
#s(approx (pow (- (exp b) -1) -2) #s(hole binary64 (+ 1/4 (* b (- (* 1/16 b) 1/4)))))
#s(approx (pow (- (exp b) -1) -2) #s(hole binary64 (+ 1/4 (* b (- (* b (+ 1/16 (* 1/48 b))) 1/4)))))
#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 (+ (* (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 (+ (/ (cosh a) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) #s(hole binary64 (+ (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (+ 1 (exp a)))) (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (+ 1 (exp a)))))))
#s(approx (+ (/ (cosh a) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) #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) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) #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 (+ (* -1/2 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 3))) (+ (* -1/2 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 3))) (+ (* 1/4 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))) (* 1/4 (/ (- (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) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) #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 (/ (+ (* -1/2 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 3))) (* 1/4 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1 (/ (+ (* -1/2 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 3))) (* 1/4 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/4 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 3))) (+ (* -1/4 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 3))) (+ (* 1/12 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))) (* 1/12 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))))))))) (+ (* -1/2 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 3))) (+ (* -1/2 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 3))) (+ (* 1/4 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))) (* 1/4 (/ (- (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) (+ (exp b) (exp a))) #s(hole binary64 (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (+ 1 (exp a))))))
#s(approx (/ (cosh a) (+ (exp b) (exp a))) #s(hole binary64 (+ (* -1/2 (/ (* b (+ (exp a) (/ 1 (exp a)))) (pow (+ 1 (exp a)) 2))) (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (+ 1 (exp a)))))))
#s(approx (/ (cosh a) (+ (exp b) (exp a))) #s(hole binary64 (+ (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (+ 1 (exp a)))) (* b (- (* -1 (* b (+ (* -1/2 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 3))) (* 1/4 (/ (+ (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) (+ (exp b) (exp a))) #s(hole binary64 (+ (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (+ 1 (exp a)))) (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1/2 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 3))) (* 1/4 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/4 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 3))) (* 1/12 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))))))) (+ (* -1/2 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 3))) (* 1/4 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))))) (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))))))))
#s(approx (+ (exp b) (exp a)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (exp b) (exp a)) #s(hole binary64 (+ 1 (+ b (exp a)))))
#s(approx (+ (exp b) (exp a)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (exp b) (exp a)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (/ (sinh a) (+ (exp b) (exp a))) #s(hole binary64 (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (+ 1 (exp a))))))
#s(approx (/ (sinh a) (+ (exp b) (exp a))) #s(hole binary64 (+ (* -1/2 (/ (* b (- (exp a) (/ 1 (exp a)))) (pow (+ 1 (exp a)) 2))) (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (+ 1 (exp a)))))))
#s(approx (/ (sinh a) (+ (exp b) (exp a))) #s(hole binary64 (+ (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (+ 1 (exp a)))) (* b (- (* -1 (* b (+ (* -1/2 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 3))) (* 1/4 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))))) (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))))))))
#s(approx (/ (sinh a) (+ (exp b) (exp a))) #s(hole binary64 (+ (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (+ 1 (exp a)))) (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1/2 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 3))) (* 1/4 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/4 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 3))) (* 1/12 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))))))) (+ (* -1/2 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 3))) (* 1/4 (/ (- (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) (pow (- (exp b) -1) -2)) #s(hole binary64 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 1 (exp b))))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (pow (- (exp b) -1) -2) #s(hole binary64 (/ 1 (pow (+ 1 (exp b)) 2))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* -1 (* b (exp (- a (* 2 (log (+ 1 (exp a))))))))))
#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
77.0ms
a
@0
((/ (exp a) (+ (exp a) (exp b))) (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) (pow (- (exp b) -1) -1) (- (exp b) -1) (exp b) b -1 (pow (- (exp b) -1) -2) -2 a (/ (exp a) (+ (exp a) (exp b))) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp 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)) (* (log (+ 1 (exp a))) 2) (log (+ 1 (exp a))) 2 (/ (exp a) (- (exp a) -1)) (- (exp a) -1) (+ (/ (cosh a) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) (/ (cosh a) (+ (exp b) (exp a))) (cosh a) (+ (exp b) (exp a)) (/ (sinh a) (+ (exp b) (exp a))) (sinh a))
52.0ms
a
@-inf
((/ (exp a) (+ (exp a) (exp b))) (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) (pow (- (exp b) -1) -1) (- (exp b) -1) (exp b) b -1 (pow (- (exp b) -1) -2) -2 a (/ (exp a) (+ (exp a) (exp b))) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp 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)) (* (log (+ 1 (exp a))) 2) (log (+ 1 (exp a))) 2 (/ (exp a) (- (exp a) -1)) (- (exp a) -1) (+ (/ (cosh a) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) (/ (cosh a) (+ (exp b) (exp a))) (cosh a) (+ (exp b) (exp a)) (/ (sinh a) (+ (exp b) (exp a))) (sinh a))
47.0ms
a
@inf
((/ (exp a) (+ (exp a) (exp b))) (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) (pow (- (exp b) -1) -1) (- (exp b) -1) (exp b) b -1 (pow (- (exp b) -1) -2) -2 a (/ (exp a) (+ (exp a) (exp b))) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp 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)) (* (log (+ 1 (exp a))) 2) (log (+ 1 (exp a))) 2 (/ (exp a) (- (exp a) -1)) (- (exp a) -1) (+ (/ (cosh a) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) (/ (cosh a) (+ (exp b) (exp a))) (cosh a) (+ (exp b) (exp a)) (/ (sinh a) (+ (exp b) (exp a))) (sinh a))
8.0ms
b
@0
((/ (exp a) (+ (exp a) (exp b))) (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) (pow (- (exp b) -1) -1) (- (exp b) -1) (exp b) b -1 (pow (- (exp b) -1) -2) -2 a (/ (exp a) (+ (exp a) (exp b))) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp 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)) (* (log (+ 1 (exp a))) 2) (log (+ 1 (exp a))) 2 (/ (exp a) (- (exp a) -1)) (- (exp a) -1) (+ (/ (cosh a) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) (/ (cosh a) (+ (exp b) (exp a))) (cosh a) (+ (exp b) (exp a)) (/ (sinh a) (+ (exp b) (exp a))) (sinh a))
7.0ms
b
@inf
((/ (exp a) (+ (exp a) (exp b))) (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) (pow (- (exp b) -1) -1) (- (exp b) -1) (exp b) b -1 (pow (- (exp b) -1) -2) -2 a (/ (exp a) (+ (exp a) (exp b))) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp 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)) (* (log (+ 1 (exp a))) 2) (log (+ 1 (exp a))) 2 (/ (exp a) (- (exp a) -1)) (- (exp a) -1) (+ (/ (cosh a) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) (/ (cosh a) (+ (exp b) (exp a))) (cosh a) (+ (exp b) (exp a)) (/ (sinh a) (+ (exp b) (exp a))) (sinh a))

rewrite212.0ms (6.1%)

Memory
-10.2MiB live, 212.7MiB allocated; 60ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06994812
07524413
144844239
085994068
Stop Event
iter limit
node limit
iter limit
Counts
182 → 266
Calls
Call 1
Inputs
#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))))
(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)))
(-.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)))
(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)
(pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))
#s(literal -2 binary64)
a
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(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)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (neg.f64 b) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
(fma.f64 (neg.f64 b) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(neg.f64 b)
(exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))
(-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))
(*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))
(log1p.f64 (exp.f64 a))
#s(literal 2 binary64)
(/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64)))
(-.f64 (exp.f64 a) #s(literal -1 binary64))
(+.f64 (/.f64 (cosh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) (/.f64 (sinh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))))
(/.f64 (cosh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(cosh.f64 a)
(+.f64 (exp.f64 b) (exp.f64 a))
(/.f64 (sinh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(sinh.f64 a)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx a #s(hole binary64 a))
#s(approx (exp a) #s(hole binary64 1))
#s(approx (exp a) #s(hole binary64 (+ 1 a)))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (* -1 (* b (exp (neg (* 2 (log 2)))))))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* -1 (* b (exp (neg (* 2 (log 2)))))) (* 1/4 a)))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* -1 (* b (exp (neg (* 2 (log 2)))))) (* a (+ 1/4 (* 1/4 (* a (* b (exp (neg (* 2 (log 2)))))))))))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* -1 (* b (exp (neg (* 2 (log 2)))))) (* a (+ 1/4 (* a (+ (* -1/48 a) (* 1/4 (* b (exp (neg (* 2 (log 2))))))))))))))
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) #s(hole binary64 (exp (neg (* 2 (log 2))))))
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) #s(hole binary64 (+ (exp (neg (* 2 (log 2)))) (* -1/4 (* (pow a 2) (exp (neg (* 2 (log 2)))))))))
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) #s(hole binary64 (+ (exp (neg (* 2 (log 2)))) (* (pow a 2) (+ (* -1/4 (exp (neg (* 2 (log 2))))) (* 1/24 (* (pow a 2) (exp (neg (* 2 (log 2)))))))))))
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) #s(hole binary64 (+ (exp (neg (* 2 (log 2)))) (* (pow a 2) (+ (* -1/4 (exp (neg (* 2 (log 2))))) (* (pow a 2) (+ (* -17/2880 (* (pow a 2) (exp (neg (* 2 (log 2)))))) (* 1/24 (exp (neg (* 2 (log 2))))))))))))
#s(approx (- a (* (log (+ 1 (exp a))) 2)) #s(hole binary64 (* -2 (log 2))))
#s(approx (- a (* (log (+ 1 (exp a))) 2)) #s(hole binary64 (- (* -1/4 (pow a 2)) (* 2 (log 2)))))
#s(approx (- a (* (log (+ 1 (exp a))) 2)) #s(hole binary64 (- (* (pow a 2) (- (* 1/96 (pow a 2)) 1/4)) (* 2 (log 2)))))
#s(approx (- a (* (log (+ 1 (exp a))) 2)) #s(hole binary64 (- (* (pow a 2) (- (* (pow a 2) (+ 1/96 (* -1/1440 (pow a 2)))) 1/4)) (* 2 (log 2)))))
#s(approx (* (log (+ 1 (exp a))) 2) #s(hole binary64 (* 2 (log 2))))
#s(approx (* (log (+ 1 (exp a))) 2) #s(hole binary64 (+ a (* 2 (log 2)))))
#s(approx (* (log (+ 1 (exp a))) 2) #s(hole binary64 (+ (* 2 (log 2)) (* a (+ 1 (* 1/4 a))))))
#s(approx (* (log (+ 1 (exp a))) 2) #s(hole binary64 (+ (* 2 (log 2)) (* a (+ 1 (* a (+ 1/4 (* -1/96 (pow a 2)))))))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* 1/2 a))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* 1/8 a))))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))))
#s(approx (/ (exp a) (- (exp a) -1)) #s(hole binary64 1/2))
#s(approx (/ (exp a) (- (exp a) -1)) #s(hole binary64 (+ 1/2 (* 1/4 a))))
#s(approx (/ (exp a) (- (exp a) -1)) #s(hole binary64 (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))))
#s(approx (/ (exp a) (- (exp a) -1)) #s(hole binary64 (+ 1/2 (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))))))
#s(approx (- (exp a) -1) #s(hole binary64 2))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 a)))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 (* a (+ 1 (* 1/2 a))))))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (+ (/ (cosh a) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (+ (/ (cosh a) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (+ (/ (cosh a) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) #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) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 7/6 (/ 1 (pow (+ 1 (exp b)) 2))) (/ 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) (+ (exp b) (exp a))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ (cosh a) (+ (exp b) (exp a))) #s(hole binary64 (+ (* -1 (/ a (pow (+ 1 (exp b)) 2))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (cosh a) (+ (exp b) (exp a))) #s(hole binary64 (+ (* a (- (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (cosh a) (+ (exp b) (exp a))) #s(hole binary64 (+ (* a (- (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (/ 1 (pow (+ 1 (exp b)) 3)) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (/ 1 (pow (+ 1 (exp b)) 4)))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#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 (+ (exp b) (exp a)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (exp b) (exp a)) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (+ (exp b) (exp a)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (exp b) (exp a)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))
#s(approx (/ (sinh a) (+ (exp b) (exp a))) #s(hole binary64 (/ a (+ 1 (exp b)))))
#s(approx (/ (sinh a) (+ (exp b) (exp a))) #s(hole binary64 (* a (+ (* -1 (/ a (pow (+ 1 (exp b)) 2))) (/ 1 (+ 1 (exp b)))))))
#s(approx (/ (sinh a) (+ (exp b) (exp a))) #s(hole binary64 (* a (+ (* a (- (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))))))
#s(approx (/ (sinh a) (+ (exp b) (exp a))) #s(hole binary64 (* a (+ (* a (- (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (+ (* a (- (/ 1 (pow (+ 1 (exp b)) 3)) (+ (* 1/3 (/ 1 (pow (+ 1 (exp b)) 2))) (/ 1 (pow (+ 1 (exp b)) 4))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))))))
#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 (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) #s(hole binary64 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))))
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) #s(hole binary64 (* a (- (+ (/ 1 (* a (+ 1 (exp b)))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2))))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ (* -1 (* b (exp (- a (* 2 (log (+ 1 (exp a)))))))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) #s(hole binary64 (exp (- a (* 2 (log (+ 1 (exp a))))))))
#s(approx (- a (* (log (+ 1 (exp a))) 2)) #s(hole binary64 a))
#s(approx (- a (* (log (+ 1 (exp a))) 2)) #s(hole binary64 (* a (+ 1 (* -2 (/ (log (+ 1 (exp a))) a))))))
#s(approx (* (log (+ 1 (exp a))) 2) #s(hole binary64 (* 2 (log (+ 1 (exp a))))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (/ (exp a) (- (exp a) -1)) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (/ (cosh a) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) #s(hole binary64 (+ (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (+ (exp a) (exp b)))) (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (+ (exp a) (exp b)))))))
#s(approx (/ (cosh a) (+ (exp b) (exp a))) #s(hole binary64 (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (+ (exp a) (exp b))))))
#s(approx (cosh a) #s(hole binary64 (* 1/2 (+ (exp a) (/ 1 (exp a))))))
#s(approx (+ (exp b) (exp a)) #s(hole binary64 (+ (exp a) (exp b))))
#s(approx (/ (sinh a) (+ (exp b) (exp a))) #s(hole binary64 (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (+ (exp a) (exp b))))))
#s(approx (sinh a) #s(hole binary64 (* 1/2 (- (exp a) (/ 1 (exp a))))))
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) #s(hole binary64 (* -1 (* a (- (* -1 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (* a (+ 1 (exp b)))))))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ (* -1 (* b (exp (neg (+ (* -1 a) (* 2 (log (+ 1 (exp a))))))))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) #s(hole binary64 (exp (neg (+ (* -1 a) (* 2 (log (+ 1 (exp a)))))))))
#s(approx (- a (* (log (+ 1 (exp a))) 2)) #s(hole binary64 (* -1 (* a (- (* 2 (/ (log (+ 1 (exp a))) a)) 1)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) #s(hole binary64 (+ 1/2 (* 1/4 a))))
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* 1/4 a)))))
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) #s(hole binary64 (+ 1/2 (+ (* 1/4 a) (* b (- (* -1/16 (* a b)) 1/4))))))
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) #s(hole binary64 (+ 1/2 (+ (* 1/4 a) (* b (- (* b (+ (* -1/16 a) (* 1/48 b))) 1/4))))))
#s(approx (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) #s(hole binary64 1/4))
#s(approx (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) #s(hole binary64 (+ 1/4 (* -1/16 (pow b 2)))))
#s(approx (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) #s(hole binary64 (+ 1/4 (* (pow b 2) (- (* 1/96 (pow b 2)) 1/16)))))
#s(approx (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) #s(hole binary64 (+ 1/4 (* (pow b 2) (- (* (pow b 2) (+ 1/96 (* -17/11520 (pow b 2)))) 1/16)))))
#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 (pow (- (exp b) -1) -2) #s(hole binary64 1/4))
#s(approx (pow (- (exp b) -1) -2) #s(hole binary64 (+ 1/4 (* -1/4 b))))
#s(approx (pow (- (exp b) -1) -2) #s(hole binary64 (+ 1/4 (* b (- (* 1/16 b) 1/4)))))
#s(approx (pow (- (exp b) -1) -2) #s(hole binary64 (+ 1/4 (* b (- (* b (+ 1/16 (* 1/48 b))) 1/4)))))
#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 (+ (* (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 (+ (/ (cosh a) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) #s(hole binary64 (+ (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (+ 1 (exp a)))) (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (+ 1 (exp a)))))))
#s(approx (+ (/ (cosh a) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) #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) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) #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 (+ (* -1/2 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 3))) (+ (* -1/2 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 3))) (+ (* 1/4 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))) (* 1/4 (/ (- (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) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) #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 (/ (+ (* -1/2 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 3))) (* 1/4 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1 (/ (+ (* -1/2 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 3))) (* 1/4 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/4 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 3))) (+ (* -1/4 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 3))) (+ (* 1/12 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))) (* 1/12 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))))))))) (+ (* -1/2 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 3))) (+ (* -1/2 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 3))) (+ (* 1/4 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))) (* 1/4 (/ (- (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) (+ (exp b) (exp a))) #s(hole binary64 (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (+ 1 (exp a))))))
#s(approx (/ (cosh a) (+ (exp b) (exp a))) #s(hole binary64 (+ (* -1/2 (/ (* b (+ (exp a) (/ 1 (exp a)))) (pow (+ 1 (exp a)) 2))) (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (+ 1 (exp a)))))))
#s(approx (/ (cosh a) (+ (exp b) (exp a))) #s(hole binary64 (+ (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (+ 1 (exp a)))) (* b (- (* -1 (* b (+ (* -1/2 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 3))) (* 1/4 (/ (+ (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) (+ (exp b) (exp a))) #s(hole binary64 (+ (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (+ 1 (exp a)))) (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1/2 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 3))) (* 1/4 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/4 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 3))) (* 1/12 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))))))) (+ (* -1/2 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 3))) (* 1/4 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))))) (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))))))))
#s(approx (+ (exp b) (exp a)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (exp b) (exp a)) #s(hole binary64 (+ 1 (+ b (exp a)))))
#s(approx (+ (exp b) (exp a)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (exp b) (exp a)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (/ (sinh a) (+ (exp b) (exp a))) #s(hole binary64 (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (+ 1 (exp a))))))
#s(approx (/ (sinh a) (+ (exp b) (exp a))) #s(hole binary64 (+ (* -1/2 (/ (* b (- (exp a) (/ 1 (exp a)))) (pow (+ 1 (exp a)) 2))) (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (+ 1 (exp a)))))))
#s(approx (/ (sinh a) (+ (exp b) (exp a))) #s(hole binary64 (+ (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (+ 1 (exp a)))) (* b (- (* -1 (* b (+ (* -1/2 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 3))) (* 1/4 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))))) (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))))))))
#s(approx (/ (sinh a) (+ (exp b) (exp a))) #s(hole binary64 (+ (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (+ 1 (exp a)))) (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1/2 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 3))) (* 1/4 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/4 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 3))) (* 1/12 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))))))) (+ (* -1/2 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 3))) (* 1/4 (/ (- (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) (pow (- (exp b) -1) -2)) #s(hole binary64 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 1 (exp b))))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (pow (- (exp b) -1) -2) #s(hole binary64 (/ 1 (pow (+ 1 (exp b)) 2))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* -1 (* b (exp (- a (* 2 (log (+ 1 (exp a))))))))))
#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) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) (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))))
(/.f64 (-.f64 (pow.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))) a) #s(literal 2 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) (-.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))) a) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.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))) a) #s(literal 3 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.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))) a) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64)) (*.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))) a) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))))))
(fma.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 (-.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))
(fma.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 (-.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))
(fma.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (*.f64 (-.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))
(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)))
(fma.f64 a (-.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))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))
(+.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))) a) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))
(+.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.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))
(/.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -4 binary64))) (+.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 (-.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -3 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -6 binary64))) (+.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -4 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -3 binary64)))))
(-.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 (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)))
(exp.f64 (*.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -1 binary64))) (sinh.f64 (*.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -1 binary64))))
(/.f64 (expm1.f64 (+.f64 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)
(*.f64 (neg.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))))
(*.f64 (fabs.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))) (fabs.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))))
(*.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))
(pow.f64 (exp.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)))) #s(literal -2 binary64))
(pow.f64 (*.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))
(pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -1 binary64) (*.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -1 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -2 binary64))) (sinh.f64 (*.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -2 binary64))))
#s(literal -2 binary64)
a
#s(approx (+ (/ (cosh a) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (exp.f64 a)) (neg.f64 (+.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a))))
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a)))
(exp.f64 a)
(+.f64 (cosh.f64 a) (sinh.f64 a))
(/.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)
#s(approx (+ (/ (cosh a) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (neg.f64 b) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (neg.f64 b)) #s(literal 2 binary64)) (pow.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64))) (-.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (neg.f64 b)) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) b) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (neg.f64 b)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (neg.f64 b)) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64)))))))
(fma.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) b) #s(literal -1 binary64) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (neg.f64 b) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(fma.f64 (neg.f64 b) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(fma.f64 #s(literal -1 binary64) (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) b) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(+.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (neg.f64 b)))
(+.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (neg.f64 b)) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) b)
(*.f64 b #s(literal -1 binary64))
(neg.f64 b)
(*.f64 (exp.f64 a) (exp.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 a))) #s(literal 2 binary64))))
(*.f64 (exp.f64 a) (exp.f64 (*.f64 #s(literal -2 binary64) (log1p.f64 (exp.f64 a)))))
(/.f64 (neg.f64 (exp.f64 a)) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))
(/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))
(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 (-.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))))
(*.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)))
#s(literal 2 binary64)
(/.f64 (neg.f64 (exp.f64 a)) (neg.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64)))
(/.f64 (expm1.f64 (+.f64 a a)) (+.f64 (exp.f64 a) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (exp.f64 a) (exp.f64 a) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) #s(literal -1 binary64)))))
(-.f64 (exp.f64 a) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (cosh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal 2 binary64)) (pow.f64 (/.f64 (sinh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal 2 binary64))) (-.f64 (/.f64 (cosh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) (/.f64 (sinh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (cosh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal 3 binary64)) (pow.f64 (/.f64 (sinh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (cosh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (sinh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal 2 binary64)) (*.f64 (/.f64 (cosh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) (/.f64 (sinh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))))))
(/.f64 (neg.f64 (exp.f64 a)) (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))) (pow.f64 (+.f64 (exp.f64 b) (exp.f64 a)) #s(literal 2 binary64)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(+.f64 (/.f64 (sinh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) (/.f64 (cosh.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 (cosh.f64 a)) (neg.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(/.f64 (cosh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 (neg.f64 (neg.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 (-.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 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 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)) (exp.f64 (+.f64 b a)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64))) (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (exp.f64 (+.f64 a b)))))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 a) (exp.f64 b))
(/.f64 (sinh.f64 (neg.f64 a)) (neg.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(/.f64 (sinh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) #s(literal 2 binary64))
(sinh.f64 a)
#s(approx (+ (/ (cosh a) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)))
#s(approx (+ (/ (cosh a) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) (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) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) (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) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) (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 (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)))
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (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 a a)
#s(approx (exp a) #s(literal 1 binary64))
#s(approx (exp a) (+.f64 #s(literal 1 binary64) a))
#s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
#s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
#s(approx (+ (exp a) (exp b)) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
#s(approx (+ (exp a) (exp b)) (+.f64 (+.f64 (exp.f64 b) a) #s(literal 1 binary64)))
#s(approx (+ (exp a) (exp b)) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (exp.f64 b)) #s(literal 1 binary64)))
#s(approx (+ (exp a) (exp b)) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a (exp.f64 b)) #s(literal 1 binary64)))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (fma.f64 (neg.f64 b) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 #s(literal 1/4 binary64) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) b) a) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) a (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) b))) a #s(literal 1/4 binary64)) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) #s(literal 1/4 binary64))
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) (fma.f64 (*.f64 (*.f64 a a) #s(literal 1/4 binary64)) #s(literal -1/4 binary64) #s(literal 1/4 binary64)))
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 a a) #s(literal 1/4 binary64)) #s(literal -1/16 binary64)) (*.f64 a a) #s(literal 1/4 binary64)))
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/2880 binary64) (*.f64 (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/96 binary64)) (*.f64 a a) #s(literal -1/16 binary64)) (*.f64 a a) #s(literal 1/4 binary64)))
#s(approx (- a (* (log (+ 1 (exp a))) 2)) (log.f64 #s(literal 1/4 binary64)))
#s(approx (- a (* (log (+ 1 (exp a))) 2)) (fma.f64 (*.f64 a a) #s(literal -1/4 binary64) (log.f64 #s(literal 1/4 binary64))))
#s(approx (- a (* (log (+ 1 (exp a))) 2)) (fma.f64 (-.f64 (*.f64 #s(literal 1/96 binary64) (*.f64 a a)) #s(literal 1/4 binary64)) (*.f64 a a) (log.f64 #s(literal 1/4 binary64))))
#s(approx (- a (* (log (+ 1 (exp a))) 2)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 a a) #s(literal 1/96 binary64)) (*.f64 a a)) #s(literal 1/4 binary64)) (*.f64 a a) (log.f64 #s(literal 1/4 binary64))))
#s(approx (* (log (+ 1 (exp a))) 2) (log.f64 #s(literal 4 binary64)))
#s(approx (* (log (+ 1 (exp a))) 2) (-.f64 a (log.f64 #s(literal 1/4 binary64))))
#s(approx (* (log (+ 1 (exp a))) 2) (fma.f64 (fma.f64 #s(literal 1/4 binary64) a #s(literal 1 binary64)) a (log.f64 #s(literal 4 binary64))))
#s(approx (* (log (+ 1 (exp a))) 2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 a a) #s(literal 1/4 binary64)) a #s(literal 1 binary64)) a (log.f64 #s(literal 4 binary64))))
#s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64)))
#s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))
#s(approx (/ (exp a) (- (exp a) -1)) #s(literal 1/2 binary64))
#s(approx (/ (exp a) (- (exp a) -1)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (- (exp a) -1)) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (- (exp a) -1)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/480 binary64) (*.f64 a a)) #s(literal 1/48 binary64)) (*.f64 a a) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))
#s(approx (- (exp a) -1) #s(literal 2 binary64))
#s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a))
#s(approx (- (exp a) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))
#s(approx (- (exp a) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64)))
#s(approx (+ (/ (cosh a) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)))
#s(approx (+ (/ (cosh a) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) (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) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) (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) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) (fma.f64 (-.f64 (fma.f64 (-.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -3 binary64)) #s(literal 2 binary64) (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (fma.f64 #s(literal 7/6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -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) (+ (exp b) (exp a))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)))
#s(approx (/ (cosh a) (+ (exp b) (exp a))) (fma.f64 (/.f64 a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))))
#s(approx (/ (cosh a) (+ (exp b) (exp a))) (fma.f64 (-.f64 (*.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 1/2 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 -2 binary64))) a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))))
#s(approx (/ (cosh a) (+ (exp b) (exp a))) (fma.f64 (-.f64 (*.f64 (-.f64 (+.f64 (fma.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -3 binary64)) (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)) (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 1/2 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 -2 binary64))) a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #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 (+ (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 (/ (sinh a) (+ (exp b) (exp a))) (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))))
#s(approx (/ (sinh a) (+ (exp b) (exp a))) (*.f64 (fma.f64 (/.f64 a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))) a))
#s(approx (/ (sinh a) (+ (exp b) (exp a))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -3 binary64))) (*.f64 #s(literal 1/2 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 -2 binary64))) a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))) a))
#s(approx (/ (sinh a) (+ (exp b) (exp a))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (+.f64 (fma.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -3 binary64)) (fma.f64 #s(literal 1/3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -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 1/6 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (*.f64 #s(literal 1/2 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 -2 binary64))) a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))) a))
#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) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))))
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (*.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))
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (*.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) a) #s(literal -1 binary64)) (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))
#s(approx (exp a) (exp.f64 a))
#s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 b) (exp.f64 a)))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (neg.f64 b) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))))
#s(approx (- a (* (log (+ 1 (exp a))) 2)) a)
#s(approx (- a (* (log (+ 1 (exp a))) 2)) (*.f64 (fma.f64 (/.f64 (log1p.f64 (exp.f64 a)) a) #s(literal -2 binary64) #s(literal 1 binary64)) a))
#s(approx (* (log (+ 1 (exp a))) 2) (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))
#s(approx (log (+ 1 (exp a))) (log1p.f64 (exp.f64 a)))
#s(approx (/ (exp a) (- (exp 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 (+ (/ (cosh a) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (+.f64 (exp.f64 b) (exp.f64 a))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) (+.f64 (exp.f64 b) (exp.f64 a))))))
#s(approx (/ (cosh a) (+ (exp b) (exp a))) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) #s(literal 1/2 binary64)) (+.f64 (exp.f64 b) (exp.f64 a))))
#s(approx (cosh a) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) #s(literal 1/2 binary64)))
#s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 b) (exp.f64 a)))
#s(approx (/ (sinh a) (+ (exp b) (exp a))) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) #s(literal 1/2 binary64)) (+.f64 (exp.f64 b) (exp.f64 a))))
#s(approx (sinh a) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) #s(literal 1/2 binary64)))
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (*.f64 (neg.f64 a) (-.f64 (neg.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)))) (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) a) #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) (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) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (+ (/ (cosh a) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) (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) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) (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) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) (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) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (+.f64 (fma.f64 #s(literal -1/4 binary64) b (*.f64 #s(literal 1/4 binary64) a)) #s(literal 1/2 binary64)))
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (+.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b a) #s(literal -1/16 binary64)) #s(literal 1/4 binary64)) b (*.f64 #s(literal 1/4 binary64) a)) #s(literal 1/2 binary64)))
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (+.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) b (*.f64 #s(literal -1/16 binary64) a)) b) #s(literal 1/4 binary64)) b (*.f64 #s(literal 1/4 binary64) a)) #s(literal 1/2 binary64)))
#s(approx (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) #s(literal 1/4 binary64))
#s(approx (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) (fma.f64 (*.f64 b b) #s(literal -1/16 binary64) #s(literal 1/4 binary64)))
#s(approx (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/96 binary64)) #s(literal 1/16 binary64)) (*.f64 b b) #s(literal 1/4 binary64)))
#s(approx (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -17/11520 binary64) (*.f64 b b) #s(literal 1/96 binary64)) (*.f64 b b)) #s(literal 1/16 binary64)) (*.f64 b b) #s(literal 1/4 binary64)))
#s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64))
#s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
#s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))
#s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))
#s(approx (- (exp b) -1) #s(literal 2 binary64))
#s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))
#s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
#s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
#s(approx (exp b) #s(literal 1 binary64))
#s(approx (exp b) (+.f64 #s(literal 1 binary64) b))
#s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
#s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
#s(approx b b)
#s(approx (pow (- (exp b) -1) -2) #s(literal 1/4 binary64))
#s(approx (pow (- (exp b) -1) -2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/4 binary64)))
#s(approx (pow (- (exp b) -1) -2) (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) b) #s(literal 1/4 binary64)) b #s(literal 1/4 binary64)))
#s(approx (pow (- (exp b) -1) -2) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) b #s(literal 1/16 binary64)) b) #s(literal 1/4 binary64)) b #s(literal 1/4 binary64)))
#s(approx (+ (exp a) (exp b)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
#s(approx (+ (exp a) (exp b)) (+.f64 (+.f64 b (exp.f64 a)) #s(literal 1 binary64)))
#s(approx (+ (exp a) (exp b)) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (exp.f64 a)) #s(literal 1 binary64)))
#s(approx (+ (exp a) (exp b)) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b (exp.f64 a)) #s(literal 1 binary64)))
#s(approx (+ (* (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 (+ (/ (cosh a) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a))))))
#s(approx (+ (/ (cosh a) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) (fma.f64 (neg.f64 b) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (/.f64 (*.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 1/2 binary64) (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))))
#s(approx (+ (/ (cosh a) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (*.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 2 binary64) (cosh.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (/.f64 (*.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 1/2 binary64) (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (/.f64 (*.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) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (*.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 2 binary64) (cosh.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 2 binary64) (cosh.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 binary64) (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.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 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) #s(literal -1/4 binary64) (fma.f64 #s(literal 1/12 binary64) (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (/.f64 (*.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 -1/4 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 a))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))))))) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))))))) b) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (/.f64 (*.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) (+ (exp b) (exp a))) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (/ (cosh a) (+ (exp b) (exp a))) (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (/ (cosh a) (+ (exp b) (exp a))) (fma.f64 (fma.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 a))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) b (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (/ (cosh a) (+ (exp b) (exp a))) (fma.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 b) (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 2 binary64) (cosh.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 binary64) (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 a))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))))) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 a))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) b (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) b (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (+ (exp a) (exp b)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
#s(approx (+ (exp a) (exp b)) (+.f64 (+.f64 b (exp.f64 a)) #s(literal 1 binary64)))
#s(approx (+ (exp a) (exp b)) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (exp.f64 a)) #s(literal 1 binary64)))
#s(approx (+ (exp a) (exp b)) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b (exp.f64 a)) #s(literal 1 binary64)))
#s(approx (/ (sinh a) (+ (exp b) (exp a))) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (/ (sinh a) (+ (exp b) (exp a))) (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (/ (sinh a) (+ (exp b) (exp a))) (fma.f64 (fma.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.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 -1/2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) b (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (/ (sinh a) (+ (exp b) (exp a))) (fma.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 b) (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.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 binary64) (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.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 -1/4 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 a))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))))) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 a))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) b (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) b (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) (-.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))))
#s(approx (pow (- (exp b) -1) -1) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)))
#s(approx (- (exp b) -1) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
#s(approx (exp b) (exp.f64 b))
#s(approx (pow (- (exp b) -1) -2) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))
#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)))))))

eval73.0ms (2.1%)

Memory
-14.2MiB live, 88.7MiB allocated; 17ms collecting garbage
Compiler

Compiled 13 791 to 1 562 computations (88.7% saved)

prune12.0ms (0.3%)

Memory
31.7MiB live, 31.7MiB allocated; 0ms collecting garbage
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New41610426
Fresh000
Picked415
Done000
Total42011431
Accuracy
99.4%
Counts
431 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
67.2%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
65.9%
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
82.7%
#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)))
52.1%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))) #s(literal -1 binary64)))
37.7%
#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)))
83.2%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
36.7%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
37.7%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
39.5%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64)))
40.0%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
38.3%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (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))))
Compiler

Compiled 480 to 332 computations (30.8% saved)

series43.0ms (1.2%)

Memory
-4.9MiB live, 40.7MiB allocated; 5ms collecting garbage
Counts
33 → 113
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))
#s(literal 1 binary64)
(-.f64 (exp.f64 b) #s(literal -1 binary64))
(exp.f64 b)
b
#s(literal -1 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64)))
#s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
#s(literal -1/4 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) a (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) b))) a #s(literal 1/4 binary64)) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) a (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) b))) a #s(literal 1/4 binary64)) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))
(+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) a (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) b))) a #s(literal 1/4 binary64)) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) a (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) b))) a #s(literal 1/4 binary64)) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64)))
(fma.f64 (fma.f64 #s(literal -1/48 binary64) a (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) b))) a #s(literal 1/4 binary64))
(fma.f64 #s(literal -1/48 binary64) a (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) b)))
#s(literal -1/48 binary64)
a
(*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) b))
#s(literal 1/4 binary64)
(*.f64 #s(literal 1/4 binary64) b)
(*.f64 (neg.f64 b) #s(literal 1/4 binary64))
(neg.f64 b)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))) #s(literal -1 binary64))
#s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
#s(literal 2 binary64)
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (* -1 (* b (exp (neg (* 2 (log 2)))))))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* -1 (* b (exp (neg (* 2 (log 2)))))) (* 1/4 a)))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* -1 (* b (exp (neg (* 2 (log 2)))))) (* a (+ 1/4 (* 1/4 (* a (* b (exp (neg (* 2 (log 2)))))))))))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* -1 (* b (exp (neg (* 2 (log 2)))))) (* a (+ 1/4 (* a (+ (* -1/48 a) (* 1/4 (* b (exp (neg (* 2 (log 2))))))))))))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* 1/4 a)))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* a (+ 1/4 (* 1/16 (* a b))))))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* a (+ 1/4 (* a (+ (* -1/48 a) (* 1/16 b)))))))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* -1/4 b)))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (+ (* -1/4 b) (* 1/4 a))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (+ (* -1/4 b) (* a (+ 1/4 (* 1/16 (* a b)))))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (+ (* -1/4 b) (* a (+ 1/4 (* a (+ (* -1/48 a) (* 1/16 b))))))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 1/4))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (+ 1/4 (* 1/16 (* a b)))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (+ 1/4 (* a (+ (* -1/48 a) (* 1/16 b))))))
#s(approx (+ (* -1/48 a) (* 1/4 (* 1/4 b))) #s(hole binary64 (* 1/16 b)))
#s(approx (+ (* -1/48 a) (* 1/4 (* 1/4 b))) #s(hole binary64 (+ (* -1/48 a) (* 1/16 b))))
#s(approx 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 (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* -1/48 (pow a 3))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* (pow a 3) (- (* 1/16 (/ b a)) 1/48))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* (pow a 3) (- (+ (* 1/16 (/ b a)) (/ 1/4 (pow a 2))) 1/48))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* (pow a 3) (- (+ (* -1/4 (/ b (pow a 3))) (+ (* 1/16 (/ b a)) (+ (/ 1/4 (pow a 2)) (* 1/2 (/ 1 (pow a 3)))))) 1/48))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* -1/48 (pow a 3))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* (pow a 3) (- (* 1/16 (/ b a)) 1/48))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* (pow a 3) (- (+ (* 1/16 (/ b a)) (/ 1/4 (pow a 2))) 1/48))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* (pow a 3) (- (+ (* -1/4 (/ b (pow a 3))) (+ (* 1/16 (/ b a)) (/ 1/4 (pow a 2)))) 1/48))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (* -1/48 (pow a 2))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (* (pow a 2) (- (* 1/16 (/ b a)) 1/48))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (* (pow a 2) (- (+ (* 1/16 (/ b a)) (/ 1/4 (pow a 2))) 1/48))))
#s(approx (+ (* -1/48 a) (* 1/4 (* 1/4 b))) #s(hole binary64 (* -1/48 a)))
#s(approx (+ (* -1/48 a) (* 1/4 (* 1/4 b))) #s(hole binary64 (* a (- (* 1/16 (/ b a)) 1/48))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ (* -1 (* b (exp (neg (+ (* -1 a) (* 2 (log (+ 1 (exp a))))))))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* -1 (* (pow a 3) (+ 1/48 (* -1/16 (/ b a)))))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ (* 1/16 b) (* 1/4 (/ 1 a))) a)))))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ 1/2 (* -1/4 b)) a)) 1/4) a)) (* 1/16 b)) a)))))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* -1 (* (pow a 3) (+ 1/48 (* -1/16 (/ b a)))))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ (* 1/16 b) (* 1/4 (/ 1 a))) a)))))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ (* -1 (/ (- (* 1/4 (/ b a)) 1/4) a)) (* 1/16 b)) a)))))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (* (pow a 2) (- (* -1 (/ (- (* -1/16 b) (* 1/4 (/ 1 a))) a)) 1/48))))
#s(approx (+ (* -1/48 a) (* 1/4 (* 1/4 b))) #s(hole binary64 (* -1 (* a (+ 1/48 (* -1/16 (/ b a)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 1/2))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))))
#s(approx (- (exp b) -1) #s(hole binary64 2))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 b)))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (exp b) #s(hole binary64 1))
#s(approx (exp b) #s(hole binary64 (+ 1 b)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx b #s(hole binary64 b))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 1/2))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (+ 1/2 (+ (* a (+ 1/4 (* -1/48 (pow a 2)))) (* b (- (* 1/16 (pow a 2)) 1/4))))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* a (+ 1/4 (* -1/48 (pow a 2))))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (+ (* a (+ 1/4 (* -1/48 (pow a 2)))) (* b (- (* 1/16 (pow a 2)) 1/4)))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (+ 1/4 (* -1/48 (pow a 2)))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (+ 1/4 (+ (* -1/48 (pow a 2)) (* 1/16 (* a b))))))
#s(approx (* 1/4 (* 1/4 b)) #s(hole binary64 (* 1/16 b)))
#s(approx (* 1/4 b) #s(hole binary64 (* 1/4 b)))
#s(approx (* (neg b) 1/4) #s(hole binary64 (* -1/4 b)))
#s(approx (neg b) #s(hole binary64 (* -1 b)))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 2))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (+ 2 b)))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (+ 1 (* 1/2 b))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 1 (exp b))))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (* -1/4 b)))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (* b (- (* 1/2 (/ 1 b)) 1/4))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* -1 (* b (exp (- a (* 2 (log (+ 1 (exp a))))))))))
#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 (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* b (- (* 1/16 (pow a 2)) 1/4))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* b (- (+ (* 1/16 (pow a 2)) (+ (* 1/2 (/ 1 b)) (/ (* a (+ 1/4 (* -1/48 (pow a 2)))) b))) 1/4))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* b (- (* 1/16 (pow a 2)) 1/4))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* b (- (+ (* 1/16 (pow a 2)) (/ (* a (+ 1/4 (* -1/48 (pow a 2)))) b)) 1/4))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (* 1/16 (* a b))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (* b (+ (* -1/48 (/ (pow a 2) b)) (+ (* 1/16 a) (* 1/4 (/ 1 b)))))))
#s(approx (+ (* -1/48 a) (* 1/4 (* 1/4 b))) #s(hole binary64 (* b (+ 1/16 (* -1/48 (/ a b))))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (* 1/2 (pow b 2))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (* (pow b 2) (+ 1/2 (/ 1 b)))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (* 1/2 b)))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (* b (+ 1/2 (/ 1 b)))))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (* -1 (* b (- 1/4 (* 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 (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* -1 (* b (+ 1/4 (* -1/16 (pow a 2)))))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* -1 (* b (+ 1/4 (+ (* -1 (/ (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2))))) b)) (* -1/16 (pow a 2))))))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* -1 (* b (+ 1/4 (* -1/16 (pow a 2)))))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* -1 (* b (+ 1/4 (+ (* -1 (/ (* a (+ 1/4 (* -1/48 (pow a 2)))) b)) (* -1/16 (pow a 2))))))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (* -1 (* b (+ (* -1 (/ (+ 1/4 (* -1/48 (pow a 2))) b)) (* -1/16 a))))))
#s(approx (+ (* -1/48 a) (* 1/4 (* 1/4 b))) #s(hole binary64 (* -1 (* b (- (* 1/48 (/ a b)) 1/16)))))
Calls

6 calls:

TimeVariablePointExpression
23.0ms
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))) (pow (- (exp b) -1) -1) (+ (* -1/4 b) 1/2) -1/4 (/ (exp a) (+ (exp a) (exp b))) (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (+ (* -1/48 a) (* 1/4 (* 1/4 b))) -1/48 a (* 1/4 (* 1/4 b)) 1/4 (* 1/4 b) (* (neg b) 1/4) (neg b) (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (- (exp b) -1) (+ (* (+ (* 1/2 b) 1) b) 2) (+ (* 1/2 b) 1) 2)
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))) (pow (- (exp b) -1) -1) (+ (* -1/4 b) 1/2) -1/4 (/ (exp a) (+ (exp a) (exp b))) (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (+ (* -1/48 a) (* 1/4 (* 1/4 b))) -1/48 a (* 1/4 (* 1/4 b)) 1/4 (* 1/4 b) (* (neg b) 1/4) (neg b) (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (- (exp b) -1) (+ (* (+ (* 1/2 b) 1) b) 2) (+ (* 1/2 b) 1) 2)
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))) (pow (- (exp b) -1) -1) (+ (* -1/4 b) 1/2) -1/4 (/ (exp a) (+ (exp a) (exp b))) (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (+ (* -1/48 a) (* 1/4 (* 1/4 b))) -1/48 a (* 1/4 (* 1/4 b)) 1/4 (* 1/4 b) (* (neg b) 1/4) (neg b) (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (- (exp b) -1) (+ (* (+ (* 1/2 b) 1) b) 2) (+ (* 1/2 b) 1) 2)
2.0ms
a
@0
((/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) 1 (- (exp b) -1) (exp b) b -1 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) 1/2 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (+ (* -1/4 b) 1/2) -1/4 (/ (exp a) (+ (exp a) (exp b))) (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (+ (* -1/48 a) (* 1/4 (* 1/4 b))) -1/48 a (* 1/4 (* 1/4 b)) 1/4 (* 1/4 b) (* (neg b) 1/4) (neg b) (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (- (exp b) -1) (+ (* (+ (* 1/2 b) 1) b) 2) (+ (* 1/2 b) 1) 2)
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))) (pow (- (exp b) -1) -1) (+ (* -1/4 b) 1/2) -1/4 (/ (exp a) (+ (exp a) (exp b))) (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (+ (* -1/48 a) (* 1/4 (* 1/4 b))) -1/48 a (* 1/4 (* 1/4 b)) 1/4 (* 1/4 b) (* (neg b) 1/4) (neg b) (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (- (exp b) -1) (+ (* (+ (* 1/2 b) 1) b) 2) (+ (* 1/2 b) 1) 2)

rewrite184.0ms (5.3%)

Memory
6.1MiB live, 236.8MiB allocated; 30ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04803270
05072993
127872970
082002825
Stop Event
iter limit
node limit
iter limit
Counts
146 → 296
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))
#s(literal 1 binary64)
(-.f64 (exp.f64 b) #s(literal -1 binary64))
(exp.f64 b)
b
#s(literal -1 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64)))
#s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
#s(literal -1/4 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) a (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) b))) a #s(literal 1/4 binary64)) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) a (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) b))) a #s(literal 1/4 binary64)) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))
(+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) a (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) b))) a #s(literal 1/4 binary64)) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) a (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) b))) a #s(literal 1/4 binary64)) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64)))
(fma.f64 (fma.f64 #s(literal -1/48 binary64) a (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) b))) a #s(literal 1/4 binary64))
(fma.f64 #s(literal -1/48 binary64) a (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) b)))
#s(literal -1/48 binary64)
a
(*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) b))
#s(literal 1/4 binary64)
(*.f64 #s(literal 1/4 binary64) b)
(*.f64 (neg.f64 b) #s(literal 1/4 binary64))
(neg.f64 b)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))) #s(literal -1 binary64))
#s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
#s(literal 2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (* -1 (* b (exp (neg (* 2 (log 2)))))))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* -1 (* b (exp (neg (* 2 (log 2)))))) (* 1/4 a)))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* -1 (* b (exp (neg (* 2 (log 2)))))) (* a (+ 1/4 (* 1/4 (* a (* b (exp (neg (* 2 (log 2)))))))))))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* -1 (* b (exp (neg (* 2 (log 2)))))) (* a (+ 1/4 (* a (+ (* -1/48 a) (* 1/4 (* b (exp (neg (* 2 (log 2))))))))))))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* 1/4 a)))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* a (+ 1/4 (* 1/16 (* a b))))))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* a (+ 1/4 (* a (+ (* -1/48 a) (* 1/16 b)))))))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* -1/4 b)))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (+ (* -1/4 b) (* 1/4 a))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (+ (* -1/4 b) (* a (+ 1/4 (* 1/16 (* a b)))))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (+ (* -1/4 b) (* a (+ 1/4 (* a (+ (* -1/48 a) (* 1/16 b))))))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 1/4))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (+ 1/4 (* 1/16 (* a b)))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (+ 1/4 (* a (+ (* -1/48 a) (* 1/16 b))))))
#s(approx (+ (* -1/48 a) (* 1/4 (* 1/4 b))) #s(hole binary64 (* 1/16 b)))
#s(approx (+ (* -1/48 a) (* 1/4 (* 1/4 b))) #s(hole binary64 (+ (* -1/48 a) (* 1/16 b))))
#s(approx 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 (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* -1/48 (pow a 3))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* (pow a 3) (- (* 1/16 (/ b a)) 1/48))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* (pow a 3) (- (+ (* 1/16 (/ b a)) (/ 1/4 (pow a 2))) 1/48))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* (pow a 3) (- (+ (* -1/4 (/ b (pow a 3))) (+ (* 1/16 (/ b a)) (+ (/ 1/4 (pow a 2)) (* 1/2 (/ 1 (pow a 3)))))) 1/48))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* -1/48 (pow a 3))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* (pow a 3) (- (* 1/16 (/ b a)) 1/48))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* (pow a 3) (- (+ (* 1/16 (/ b a)) (/ 1/4 (pow a 2))) 1/48))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* (pow a 3) (- (+ (* -1/4 (/ b (pow a 3))) (+ (* 1/16 (/ b a)) (/ 1/4 (pow a 2)))) 1/48))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (* -1/48 (pow a 2))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (* (pow a 2) (- (* 1/16 (/ b a)) 1/48))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (* (pow a 2) (- (+ (* 1/16 (/ b a)) (/ 1/4 (pow a 2))) 1/48))))
#s(approx (+ (* -1/48 a) (* 1/4 (* 1/4 b))) #s(hole binary64 (* -1/48 a)))
#s(approx (+ (* -1/48 a) (* 1/4 (* 1/4 b))) #s(hole binary64 (* a (- (* 1/16 (/ b a)) 1/48))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ (* -1 (* b (exp (neg (+ (* -1 a) (* 2 (log (+ 1 (exp a))))))))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* -1 (* (pow a 3) (+ 1/48 (* -1/16 (/ b a)))))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ (* 1/16 b) (* 1/4 (/ 1 a))) a)))))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ 1/2 (* -1/4 b)) a)) 1/4) a)) (* 1/16 b)) a)))))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* -1 (* (pow a 3) (+ 1/48 (* -1/16 (/ b a)))))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ (* 1/16 b) (* 1/4 (/ 1 a))) a)))))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ (* -1 (/ (- (* 1/4 (/ b a)) 1/4) a)) (* 1/16 b)) a)))))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (* (pow a 2) (- (* -1 (/ (- (* -1/16 b) (* 1/4 (/ 1 a))) a)) 1/48))))
#s(approx (+ (* -1/48 a) (* 1/4 (* 1/4 b))) #s(hole binary64 (* -1 (* a (+ 1/48 (* -1/16 (/ b a)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 1/2))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))))
#s(approx (- (exp b) -1) #s(hole binary64 2))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 b)))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (exp b) #s(hole binary64 1))
#s(approx (exp b) #s(hole binary64 (+ 1 b)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx b #s(hole binary64 b))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 1/2))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (+ 1/2 (+ (* a (+ 1/4 (* -1/48 (pow a 2)))) (* b (- (* 1/16 (pow a 2)) 1/4))))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* a (+ 1/4 (* -1/48 (pow a 2))))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (+ (* a (+ 1/4 (* -1/48 (pow a 2)))) (* b (- (* 1/16 (pow a 2)) 1/4)))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (+ 1/4 (* -1/48 (pow a 2)))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (+ 1/4 (+ (* -1/48 (pow a 2)) (* 1/16 (* a b))))))
#s(approx (* 1/4 (* 1/4 b)) #s(hole binary64 (* 1/16 b)))
#s(approx (* 1/4 b) #s(hole binary64 (* 1/4 b)))
#s(approx (* (neg b) 1/4) #s(hole binary64 (* -1/4 b)))
#s(approx (neg b) #s(hole binary64 (* -1 b)))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 2))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (+ 2 b)))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (+ 1 (* 1/2 b))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 1 (exp b))))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (* -1/4 b)))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (* b (- (* 1/2 (/ 1 b)) 1/4))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* -1 (* b (exp (- a (* 2 (log (+ 1 (exp a))))))))))
#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 (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* b (- (* 1/16 (pow a 2)) 1/4))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* b (- (+ (* 1/16 (pow a 2)) (+ (* 1/2 (/ 1 b)) (/ (* a (+ 1/4 (* -1/48 (pow a 2)))) b))) 1/4))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* b (- (* 1/16 (pow a 2)) 1/4))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* b (- (+ (* 1/16 (pow a 2)) (/ (* a (+ 1/4 (* -1/48 (pow a 2)))) b)) 1/4))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (* 1/16 (* a b))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (* b (+ (* -1/48 (/ (pow a 2) b)) (+ (* 1/16 a) (* 1/4 (/ 1 b)))))))
#s(approx (+ (* -1/48 a) (* 1/4 (* 1/4 b))) #s(hole binary64 (* b (+ 1/16 (* -1/48 (/ a b))))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (* 1/2 (pow b 2))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (* (pow b 2) (+ 1/2 (/ 1 b)))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (* 1/2 b)))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (* b (+ 1/2 (/ 1 b)))))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (* -1 (* b (- 1/4 (* 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 (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* -1 (* b (+ 1/4 (* -1/16 (pow a 2)))))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* -1 (* b (+ 1/4 (+ (* -1 (/ (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2))))) b)) (* -1/16 (pow a 2))))))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* -1 (* b (+ 1/4 (* -1/16 (pow a 2)))))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* -1 (* b (+ 1/4 (+ (* -1 (/ (* a (+ 1/4 (* -1/48 (pow a 2)))) b)) (* -1/16 (pow a 2))))))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (* -1 (* b (+ (* -1 (/ (+ 1/4 (* -1/48 (pow a 2))) b)) (* -1/16 a))))))
#s(approx (+ (* -1/48 a) (* 1/4 (* 1/4 b))) #s(hole binary64 (* -1 (* b (- (* 1/48 (/ a b)) 1/16)))))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(pow.f64 (exp.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))
(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))
(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 (/ 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 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b)))
(/.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b)))))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))) (/.f64 (pow.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) b))
(+.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))
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#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) #s(literal 1/2 binary64)))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) (*.f64 #s(literal 1/4 binary64) a)) #s(literal 1/2 binary64)))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) a) (*.f64 #s(literal 1/4 binary64) b) #s(literal 1/4 binary64)) a (*.f64 #s(literal 1/4 binary64) (neg.f64 b))) #s(literal 1/2 binary64)))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) b (*.f64 #s(literal -1/48 binary64) a)) a #s(literal 1/4 binary64)) a (fma.f64 #s(literal 1/4 binary64) (neg.f64 b) #s(literal 1/2 binary64))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (+.f64 (fma.f64 #s(literal 1/4 binary64) a (*.f64 #s(literal -1/4 binary64) b)) #s(literal 1/2 binary64)))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (+.f64 (fma.f64 (fma.f64 (*.f64 b a) #s(literal 1/16 binary64) #s(literal 1/4 binary64)) a (*.f64 #s(literal -1/4 binary64) b)) #s(literal 1/2 binary64)))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) b (*.f64 #s(literal -1/48 binary64) a)) a #s(literal 1/4 binary64)) a (*.f64 #s(literal -1/4 binary64) b)) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (*.f64 #s(literal -1/4 binary64) b))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (fma.f64 #s(literal 1/4 binary64) a (*.f64 #s(literal -1/4 binary64) b)))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (fma.f64 (fma.f64 (*.f64 b a) #s(literal 1/16 binary64) #s(literal 1/4 binary64)) a (*.f64 #s(literal -1/4 binary64) b)))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) b (*.f64 #s(literal -1/48 binary64) a)) a #s(literal 1/4 binary64)) a (*.f64 #s(literal -1/4 binary64) b)))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(literal 1/4 binary64))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (fma.f64 (*.f64 b a) #s(literal 1/16 binary64) #s(literal 1/4 binary64)))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (fma.f64 (fma.f64 #s(literal 1/16 binary64) b (*.f64 #s(literal -1/48 binary64) a)) a #s(literal 1/4 binary64)))
#s(approx (+ (* -1/48 a) (* 1/4 (* 1/4 b))) (*.f64 #s(literal 1/16 binary64) b))
#s(approx (+ (* -1/48 a) (* 1/4 (* 1/4 b))) (fma.f64 #s(literal 1/16 binary64) b (*.f64 #s(literal -1/48 binary64) a)))
#s(approx 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 (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/48 binary64)))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (*.f64 (-.f64 (*.f64 (/.f64 b a) #s(literal 1/16 binary64)) #s(literal 1/48 binary64)) (pow.f64 a #s(literal 3 binary64))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (*.f64 (-.f64 (fma.f64 (/.f64 b a) #s(literal 1/16 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 a a))) #s(literal 1/48 binary64)) (pow.f64 a #s(literal 3 binary64))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (*.f64 (-.f64 (fma.f64 (/.f64 b (pow.f64 a #s(literal 3 binary64))) #s(literal -1/4 binary64) (fma.f64 (/.f64 b a) #s(literal 1/16 binary64) (fma.f64 (pow.f64 a #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 a a))))) #s(literal 1/48 binary64)) (pow.f64 a #s(literal 3 binary64))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/48 binary64)))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (*.f64 (-.f64 (*.f64 (/.f64 b a) #s(literal 1/16 binary64)) #s(literal 1/48 binary64)) (pow.f64 a #s(literal 3 binary64))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (*.f64 (-.f64 (fma.f64 (/.f64 b a) #s(literal 1/16 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 a a))) #s(literal 1/48 binary64)) (pow.f64 a #s(literal 3 binary64))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (*.f64 (fma.f64 (/.f64 b (pow.f64 a #s(literal 3 binary64))) #s(literal -1/4 binary64) (-.f64 (fma.f64 (/.f64 b a) #s(literal 1/16 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 a a))) #s(literal 1/48 binary64))) (pow.f64 a #s(literal 3 binary64))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (*.f64 (*.f64 a a) #s(literal -1/48 binary64)))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (*.f64 (*.f64 a a) (-.f64 (*.f64 (/.f64 b a) #s(literal 1/16 binary64)) #s(literal 1/48 binary64))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (*.f64 (-.f64 (fma.f64 (/.f64 b a) #s(literal 1/16 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 a a))) #s(literal 1/48 binary64)) (*.f64 a a)))
#s(approx (+ (* -1/48 a) (* 1/4 (* 1/4 b))) (*.f64 #s(literal -1/48 binary64) a))
#s(approx (+ (* -1/48 a) (* 1/4 (* 1/4 b))) (*.f64 (-.f64 (*.f64 (/.f64 b a) #s(literal 1/16 binary64)) #s(literal 1/48 binary64)) a))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (fma.f64 (neg.f64 b) (exp.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a)) (neg.f64 a)))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (*.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) (fma.f64 #s(literal -1/16 binary64) (/.f64 b a) #s(literal 1/48 binary64))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (*.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) (fma.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) b (/.f64 #s(literal 1/4 binary64) a)) a) #s(literal -1 binary64) #s(literal 1/48 binary64))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (*.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) (fma.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) b (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a)) #s(literal 1/4 binary64)) a))) a) #s(literal -1 binary64) #s(literal 1/48 binary64))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (*.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) (fma.f64 #s(literal -1/16 binary64) (/.f64 b a) #s(literal 1/48 binary64))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (*.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) (fma.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) b (/.f64 #s(literal 1/4 binary64) a)) a) #s(literal -1 binary64) #s(literal 1/48 binary64))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (*.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) (fma.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) b (neg.f64 (/.f64 (-.f64 (*.f64 (/.f64 b a) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) a))) a) #s(literal -1 binary64) #s(literal 1/48 binary64))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (*.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/16 binary64) b) (/.f64 #s(literal 1/4 binary64) a)) a)) #s(literal 1/48 binary64)) (*.f64 a a)))
#s(approx (+ (* -1/48 a) (* 1/4 (* 1/4 b))) (*.f64 (neg.f64 a) (fma.f64 #s(literal -1/16 binary64) (/.f64 b a) #s(literal 1/48 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) (neg.f64 b) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (*.f64 (neg.f64 b) (fma.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) #s(literal 1/2 binary64) (neg.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))))) (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a)))))) b (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (neg.f64 b) (fma.f64 (/.f64 (fma.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) #s(literal 1/2 binary64) (neg.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))))) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))) (*.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) #s(literal 1/6 binary64))))) (fma.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) #s(literal 1/2 binary64) (neg.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))))) b) (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a)))))) b (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64))
#s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
#s(approx (/ 1 (- (exp b) -1)) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))
#s(approx (/ 1 (- (exp b) -1)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))
#s(approx (- (exp b) -1) #s(literal 2 binary64))
#s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))
#s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
#s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
#s(approx (exp b) #s(literal 1 binary64))
#s(approx (exp b) (+.f64 #s(literal 1 binary64) b))
#s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
#s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
#s(approx b b)
#s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64))
#s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
#s(approx (/ 1 (- (exp b) -1)) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))
#s(approx (/ 1 (- (exp b) -1)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))
#s(approx (+ (* -1/4 b) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* -1/4 b) 1/2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
#s(approx (+ (* (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 (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (+.f64 (fma.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 1/16 binary64)) #s(literal 1/4 binary64)) b (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a)) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (fma.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 1/16 binary64)) #s(literal 1/4 binary64)) b (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a)))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (+.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) (*.f64 (*.f64 b a) #s(literal 1/16 binary64))) #s(literal 1/4 binary64)))
#s(approx (* 1/4 (* 1/4 b)) (*.f64 #s(literal 1/16 binary64) b))
#s(approx (* 1/4 b) (*.f64 #s(literal 1/4 binary64) b))
#s(approx (* (neg b) 1/4) (*.f64 #s(literal -1/4 binary64) b))
#s(approx (neg b) (neg.f64 b))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(literal 2 binary64))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (+.f64 #s(literal 2 binary64) b))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
#s(approx (+ (* 1/2 b) 1) #s(literal 1 binary64))
#s(approx (+ (* 1/2 b) 1) (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)))
#s(approx (/ 1 (- (exp b) -1)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)))
#s(approx (- (exp b) -1) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
#s(approx (exp b) (exp.f64 b))
#s(approx (/ 1 (- (exp b) -1)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)))
#s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))
#s(approx (+ (* -1/4 b) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/4 binary64)) b))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (*.f64 (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 (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (*.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 1/16 binary64)) #s(literal 1/4 binary64)) b))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (*.f64 (-.f64 (fma.f64 (*.f64 a a) #s(literal 1/16 binary64) (/.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)) b)) #s(literal 1/4 binary64)) b))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (*.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 1/16 binary64)) #s(literal 1/4 binary64)) b))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (*.f64 (-.f64 (fma.f64 (*.f64 a a) #s(literal 1/16 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a) b)) #s(literal 1/4 binary64)) b))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (*.f64 (*.f64 b a) #s(literal 1/16 binary64)))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (*.f64 (fma.f64 (/.f64 (*.f64 a a) b) #s(literal -1/48 binary64) (fma.f64 #s(literal 1/16 binary64) a (/.f64 #s(literal 1/4 binary64) b))) b))
#s(approx (+ (* -1/48 a) (* 1/4 (* 1/4 b))) (*.f64 (fma.f64 (/.f64 a b) #s(literal -1/48 binary64) #s(literal 1/16 binary64)) b))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (fma.f64 (*.f64 b b) #s(literal 1/2 binary64) b))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (+.f64 (+.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 b b))) (*.f64 b b)))
#s(approx (+ (* 1/2 b) 1) (*.f64 #s(literal 1/2 binary64) b))
#s(approx (+ (* 1/2 b) 1) (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)))
#s(approx (+ (* -1/4 b) 1/2) (*.f64 (neg.f64 b) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 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 (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (*.f64 (neg.f64 b) (fma.f64 #s(literal -1/16 binary64) (*.f64 a a) #s(literal 1/4 binary64))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (*.f64 (neg.f64 b) (+.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 a a) (neg.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)) b))) #s(literal 1/4 binary64))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (*.f64 (neg.f64 b) (fma.f64 #s(literal -1/16 binary64) (*.f64 a a) #s(literal 1/4 binary64))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (*.f64 (neg.f64 b) (+.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 a a) (neg.f64 (/.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a) b))) #s(literal 1/4 binary64))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (*.f64 (neg.f64 b) (fma.f64 #s(literal -1/16 binary64) a (neg.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) b)))))
#s(approx (+ (* -1/48 a) (* 1/4 (* 1/4 b))) (*.f64 (neg.f64 b) (-.f64 (*.f64 (/.f64 a b) #s(literal 1/48 binary64)) #s(literal 1/16 binary64))))

eval85.0ms (2.4%)

Memory
-33.9MiB live, 74.0MiB allocated; 70ms collecting garbage
Compiler

Compiled 13 919 to 1 556 computations (88.8% saved)

prune14.0ms (0.4%)

Memory
38.3MiB live, 38.3MiB allocated; 0ms collecting garbage
Pruning

14 alts after pruning (10 fresh and 4 done)

PrunedKeptTotal
New3017308
Fresh235
Picked235
Done011
Total30514319
Accuracy
99.4%
Counts
319 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
67.2%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
65.9%
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
51.6%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
83.2%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
57.4%
#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)))))
52.1%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
37.7%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
36.7%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
37.7%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
4.0%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
39.5%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64)))
40.0%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
40.0%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))))
12.2%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/48 binary64)))))
Compiler

Compiled 690 to 468 computations (32.2% saved)

series14.0ms (0.4%)

Memory
-21.6MiB live, 24.1MiB allocated; 4ms collecting garbage
Counts
34 → 89
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
(exp.f64 a)
a
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))
#s(approx (exp a) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (exp b) #s(literal 1 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b)))
#s(approx (+ (* -1/4 b) 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))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)))
#s(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(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))
(fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))
(-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64))
(*.f64 (*.f64 b b) #s(literal 1/48 binary64))
(*.f64 b b)
#s(literal 1/48 binary64)
#s(literal 1/4 binary64)
#s(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)))))
(/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))
#s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
Outputs
#s(approx (/ (exp a) (+ (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 (pow (- (exp b) -1) -1) #s(hole binary64 1/2))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (* -1/4 b) #s(hole binary64 (* -1/4 b)))
#s(approx b #s(hole binary64 b))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 1/2))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))))
#s(approx (- (exp b) -1) #s(hole binary64 2))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 b)))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (+ 2 b) #s(hole binary64 2))
#s(approx (+ 2 b) #s(hole binary64 (+ 2 b)))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (- (* (* b b) 1/48) 1/4) #s(hole binary64 -1/4))
#s(approx (- (* (* b b) 1/48) 1/4) #s(hole binary64 (- (* 1/48 (pow b 2)) 1/4)))
#s(approx (* (* b b) 1/48) #s(hole binary64 (* 1/48 (pow b 2))))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 2))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (+ 2 b)))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (+ 1 (* 1/2 b))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (+ 1 (* b (+ 1/2 (* 1/6 b))))))
#s(approx (+ (* 1/6 b) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/6 b) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 b))))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (* -1/4 b)))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (* b (- (* 1/2 (/ 1 b)) 1/4))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ 2 b) #s(hole binary64 b))
#s(approx (+ 2 b) #s(hole binary64 (* b (+ 1 (* 2 (/ 1 b))))))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(hole binary64 (* 1/48 (pow b 3))))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(hole binary64 (* (pow b 3) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(hole binary64 (* (pow b 3) (- (+ 1/48 (/ 1/2 (pow b 3))) (* 1/4 (/ 1 (pow b 2)))))))
#s(approx (- (* (* b b) 1/48) 1/4) #s(hole binary64 (* 1/48 (pow b 2))))
#s(approx (- (* (* b b) 1/48) 1/4) #s(hole binary64 (* (pow b 2) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (* 1/6 (pow b 3))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (* 2 (/ 1 (pow b 3)))))))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (* 1/6 (pow b 2))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))))
#s(approx (+ (* 1/6 b) 1/2) #s(hole binary64 (* 1/6 b)))
#s(approx (+ (* 1/6 b) 1/2) #s(hole binary64 (* b (+ 1/6 (* 1/2 (/ 1 b))))))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(hole binary64 (* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) 1/48)))))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(hole binary64 (* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) (+ 1/48 (/ 1/2 (pow b 3))))))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))) b)) 1/6)))))
Calls

6 calls:

TimeVariablePointExpression
4.0ms
b
@0
((/ (exp a) (+ (exp a) (exp b))) (exp a) a (+ (exp a) (exp b)) (exp a) 1 (exp b) (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (+ (* -1/4 b) 1/2) (* -1/4 b) -1/4 b (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ 2 b) 2 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (- (* (* b b) 1/48) 1/4) (* (* b b) 1/48) (* b b) 1/48 1/4 1/2 (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (+ (* (+ (* 1/6 b) 1/2) b) 1) (+ (* 1/6 b) 1/2) 1/6)
3.0ms
b
@inf
((/ (exp a) (+ (exp a) (exp b))) (exp a) a (+ (exp a) (exp b)) (exp a) 1 (exp b) (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (+ (* -1/4 b) 1/2) (* -1/4 b) -1/4 b (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ 2 b) 2 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (- (* (* b b) 1/48) 1/4) (* (* b b) 1/48) (* b b) 1/48 1/4 1/2 (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (+ (* (+ (* 1/6 b) 1/2) b) 1) (+ (* 1/6 b) 1/2) 1/6)
3.0ms
b
@-inf
((/ (exp a) (+ (exp a) (exp b))) (exp a) a (+ (exp a) (exp b)) (exp a) 1 (exp b) (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (+ (* -1/4 b) 1/2) (* -1/4 b) -1/4 b (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ 2 b) 2 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (- (* (* b b) 1/48) 1/4) (* (* b b) 1/48) (* b b) 1/48 1/4 1/2 (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (+ (* (+ (* 1/6 b) 1/2) b) 1) (+ (* 1/6 b) 1/2) 1/6)
1.0ms
a
@0
((/ (exp a) (+ (exp a) (exp b))) (exp a) a (+ (exp a) (exp b)) (exp a) 1 (exp b) (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (+ (* -1/4 b) 1/2) (* -1/4 b) -1/4 b (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ 2 b) 2 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (- (* (* b b) 1/48) 1/4) (* (* b b) 1/48) (* b b) 1/48 1/4 1/2 (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (+ (* (+ (* 1/6 b) 1/2) b) 1) (+ (* 1/6 b) 1/2) 1/6)
1.0ms
a
@-inf
((/ (exp a) (+ (exp a) (exp b))) (exp a) a (+ (exp a) (exp b)) (exp a) 1 (exp b) (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (+ (* -1/4 b) 1/2) (* -1/4 b) -1/4 b (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ 2 b) 2 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (- (* (* b b) 1/48) 1/4) (* (* b b) 1/48) (* b b) 1/48 1/4 1/2 (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (+ (* (+ (* 1/6 b) 1/2) b) 1) (+ (* 1/6 b) 1/2) 1/6)

rewrite167.0ms (4.8%)

Memory
13.5MiB live, 242.8MiB allocated; 27ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03231914
03431818
118081809
083881746
Stop Event
iter limit
node limit
iter limit
Counts
123 → 241
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
(exp.f64 a)
a
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))
#s(approx (exp a) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (exp b) #s(literal 1 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b)))
#s(approx (+ (* -1/4 b) 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))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)))
#s(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(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))
(fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))
(-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64))
(*.f64 (*.f64 b b) #s(literal 1/48 binary64))
(*.f64 b b)
#s(literal 1/48 binary64)
#s(literal 1/4 binary64)
#s(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)))))
(/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))
#s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(approx (/ (exp a) (+ (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 (pow (- (exp b) -1) -1) #s(hole binary64 1/2))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (* -1/4 b) #s(hole binary64 (* -1/4 b)))
#s(approx b #s(hole binary64 b))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 1/2))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))))
#s(approx (- (exp b) -1) #s(hole binary64 2))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 b)))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (+ 2 b) #s(hole binary64 2))
#s(approx (+ 2 b) #s(hole binary64 (+ 2 b)))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (- (* (* b b) 1/48) 1/4) #s(hole binary64 -1/4))
#s(approx (- (* (* b b) 1/48) 1/4) #s(hole binary64 (- (* 1/48 (pow b 2)) 1/4)))
#s(approx (* (* b b) 1/48) #s(hole binary64 (* 1/48 (pow b 2))))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 2))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (+ 2 b)))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (+ 1 (* 1/2 b))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (+ 1 (* b (+ 1/2 (* 1/6 b))))))
#s(approx (+ (* 1/6 b) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/6 b) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 b))))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (* -1/4 b)))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (* b (- (* 1/2 (/ 1 b)) 1/4))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ 2 b) #s(hole binary64 b))
#s(approx (+ 2 b) #s(hole binary64 (* b (+ 1 (* 2 (/ 1 b))))))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(hole binary64 (* 1/48 (pow b 3))))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(hole binary64 (* (pow b 3) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(hole binary64 (* (pow b 3) (- (+ 1/48 (/ 1/2 (pow b 3))) (* 1/4 (/ 1 (pow b 2)))))))
#s(approx (- (* (* b b) 1/48) 1/4) #s(hole binary64 (* 1/48 (pow b 2))))
#s(approx (- (* (* b b) 1/48) 1/4) #s(hole binary64 (* (pow b 2) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (* 1/6 (pow b 3))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (* 2 (/ 1 (pow b 3)))))))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (* 1/6 (pow b 2))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))))
#s(approx (+ (* 1/6 b) 1/2) #s(hole binary64 (* 1/6 b)))
#s(approx (+ (* 1/6 b) 1/2) #s(hole binary64 (* b (+ 1/6 (* 1/2 (/ 1 b))))))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(hole binary64 (* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) 1/48)))))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(hole binary64 (* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) (+ 1/48 (/ 1/2 (pow b 3))))))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))) b)) 1/6)))))
Outputs
(/.f64 (neg.f64 (neg.f64 (exp.f64 a))) (neg.f64 (neg.f64 (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (exp.f64 a)) (neg.f64 (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64)))))
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))))
(+.f64 (/.f64 (cosh.f64 a) (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64)))) (/.f64 (sinh.f64 a) (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 a) #s(literal 3 binary64)) (pow.f64 (sinh.f64 a) #s(literal 3 binary64))) (fma.f64 (cosh.f64 a) (cosh.f64 a) (-.f64 (*.f64 (sinh.f64 a) (sinh.f64 a)) (*.f64 (cosh.f64 a) (sinh.f64 a)))))
(exp.f64 a)
(+.f64 (cosh.f64 a) (sinh.f64 a))
a
(/.f64 (+.f64 (pow.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)) (-.f64 (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64)) (-.f64 (pow.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
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(+.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b) #s(literal 2 binary64))
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(fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))
(fma.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b))) (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b))))
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(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))
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(+.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b))
#s(literal 1/6 binary64)
#s(approx (/ (exp a) (+ (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 #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 (+ (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 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (*.f64 b (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))) #s(literal -1 binary64) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))))) b)) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))) b (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))))) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))) (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/6 binary64)))) b)) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))))) b) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))) b (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (+ (exp a) (exp b)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
#s(approx (+ (exp a) (exp b)) (+.f64 (+.f64 b (exp.f64 a)) #s(literal 1 binary64)))
#s(approx (+ (exp a) (exp b)) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (exp.f64 a)) #s(literal 1 binary64)))
#s(approx (+ (exp a) (exp b)) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b (exp.f64 a)) #s(literal 1 binary64)))
#s(approx (exp b) #s(literal 1 binary64))
#s(approx (exp b) (+.f64 b #s(literal 1 binary64)))
#s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
#s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
#s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64))
#s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
#s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))
#s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))
#s(approx (+ (* -1/4 b) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* -1/4 b) 1/2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
#s(approx (* -1/4 b) (*.f64 #s(literal -1/4 binary64) b))
#s(approx b b)
#s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64))
#s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
#s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))
#s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))
#s(approx (- (exp b) -1) #s(literal 2 binary64))
#s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))
#s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
#s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
#s(approx (+ 2 b) #s(literal 2 binary64))
#s(approx (+ 2 b) (+.f64 #s(literal 2 binary64) b))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))
#s(approx (- (* (* b b) 1/48) 1/4) #s(literal -1/4 binary64))
#s(approx (- (* (* b b) 1/48) 1/4) (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)))
#s(approx (* (* b b) 1/48) (*.f64 (*.f64 b b) #s(literal 1/48 binary64)))
#s(approx (* b b) (*.f64 b b))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(literal 2 binary64))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (+.f64 #s(literal 2 binary64) b))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)))
#s(approx (+ (* 1/6 b) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* 1/6 b) 1/2) (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)))
#s(approx (exp b) (exp.f64 b))
#s(approx (pow (- (exp b) -1) -1) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1 binary64)))
#s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))
#s(approx (+ (* -1/4 b) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/4 binary64)) b))
#s(approx (pow (- (exp b) -1) -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 (+ 2 b) b)
#s(approx (+ 2 b) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) #s(literal 1 binary64)) b))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64)))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (-.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 1/4 binary64))) (pow.f64 b #s(literal 3 binary64))))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 3 binary64))) #s(literal 1/48 binary64)) (*.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 1/4 binary64))) (pow.f64 b #s(literal 3 binary64))))
#s(approx (- (* (* b b) 1/48) 1/4) (*.f64 (*.f64 b b) #s(literal 1/48 binary64)))
#s(approx (- (* (* b b) 1/48) 1/4) (*.f64 (-.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 1/4 binary64))) (*.f64 b b)))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/6 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/6 binary64)) (pow.f64 b #s(literal 3 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (+.f64 (+.f64 (pow.f64 b #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) b)) #s(literal 1/6 binary64)) (pow.f64 b #s(literal 3 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (+.f64 (+.f64 (fma.f64 (pow.f64 b #s(literal -3 binary64)) #s(literal 2 binary64) (pow.f64 b #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) b)) #s(literal 1/6 binary64)) (pow.f64 b #s(literal 3 binary64))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64)))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/6 binary64)) (*.f64 b b)))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (+.f64 (+.f64 (pow.f64 b #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) b)) #s(literal 1/6 binary64)) (*.f64 b b)))
#s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b))
#s(approx (+ (* 1/6 b) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/6 binary64)) b))
#s(approx (+ (* -1/4 b) 1/2) (neg.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) b)) b)))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (neg.f64 (*.f64 (-.f64 (*.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/48 binary64)) (pow.f64 b #s(literal 3 binary64)))))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (neg.f64 (*.f64 (-.f64 (-.f64 (*.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/48 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 3 binary64)))) (pow.f64 b #s(literal 3 binary64)))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal 1/2 binary64)) b)) #s(literal 1/6 binary64)) (pow.f64 b #s(literal 3 binary64)))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 b b))) b)) #s(literal 1/6 binary64)) (pow.f64 b #s(literal 3 binary64)))))

eval30.0ms (0.9%)

Memory
11.2MiB live, 65.4MiB allocated; 7ms collecting garbage
Compiler

Compiled 8 088 to 1 207 computations (85.1% saved)

prune22.0ms (0.6%)

Memory
2.2MiB live, 48.9MiB allocated; 3ms collecting garbage
Pruning

21 alts after pruning (12 fresh and 9 done)

PrunedKeptTotal
New2428250
Fresh145
Picked055
Done044
Total24321264
Accuracy
99.4%
Counts
264 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
67.2%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
65.9%
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
39.0%
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
39.1%
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
39.1%
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
51.6%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
83.2%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
57.4%
#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)))))
57.1%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
52.1%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
56.7%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64)))))
37.7%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
3.5%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ 2 b) b))))
36.7%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
37.7%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
13.1%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64)))))
4.0%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
39.5%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64)))
40.0%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
40.0%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))))
12.2%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/48 binary64)))))
Compiler

Compiled 1 349 to 590 computations (56.3% saved)

regimes41.0ms (1.2%)

Memory
-0.6MiB live, 91.8MiB allocated; 8ms 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 (pow (- (exp b) -1) -1) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ 2 b) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) a (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) b))) a #s(literal 1/4 binary64)) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/48 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))) #s(literal -1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
#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 (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))))
(+.f64 (/.f64 (cosh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) (/.f64 (sinh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))))
Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Calls

5 calls:

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

regimes41.0ms (1.2%)

Memory
-10.6MiB live, 86.0MiB allocated; 17ms 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 (pow (- (exp b) -1) -1) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ 2 b) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) a (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) b))) a #s(literal 1/4 binary64)) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/48 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))) #s(literal -1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
Calls

5 calls:

13.0ms
b
9.0ms
(exp.f64 a)
7.0ms
a
5.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
5.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
99.0%3(exp.f64 b)
98.8%2(exp.f64 a)
83.2%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
98.8%2a
99.0%3b
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes15.0ms (0.4%)

Memory
-10.3MiB live, 36.8MiB allocated; 2ms collecting garbage
Counts
25 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ 2 b) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) a (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) b))) a #s(literal 1/4 binary64)) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/48 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))) #s(literal -1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
Outputs
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
Calls

2 calls:

7.0ms
a
6.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
98.0%2(exp.f64 a)
98.0%2a
Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes28.0ms (0.8%)

Memory
17.7MiB live, 64.8MiB allocated; 1ms collecting garbage
Counts
22 → 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 (pow (- (exp b) -1) -1) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ 2 b) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) a (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) b))) a #s(literal 1/4 binary64)) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/48 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))) #s(literal -1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
Calls

5 calls:

7.0ms
b
6.0ms
a
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
83.2%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
83.2%1(exp.f64 b)
83.2%1b
83.2%1(exp.f64 a)
83.2%1a
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes40.0ms (1.2%)

Memory
2.5MiB live, 58.5MiB allocated; 14ms collecting garbage
Counts
21 → 3
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ 2 b) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) a (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) b))) a #s(literal 1/4 binary64)) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/48 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (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 (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.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:

18.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
6.0ms
a
6.0ms
b
4.0ms
(exp.f64 b)
4.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
63.2%3b
60.4%2(exp.f64 b)
59.0%2(exp.f64 a)
60.4%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
59.9%2a
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes9.0ms (0.3%)

Memory
-29.0MiB live, 17.5MiB allocated; 4ms collecting garbage
Counts
19 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ 2 b) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) a (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) b))) a #s(literal 1/4 binary64)) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/48 binary64)))))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.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

1 calls:

7.0ms
b
Results
AccuracySegmentsBranch
60.6%2b
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes5.0ms (0.1%)

Memory
13.5MiB live, 13.5MiB allocated; 0ms collecting garbage
Counts
14 → 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 (pow (- (exp b) -1) -1) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ 2 b) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
Calls

1 calls:

4.0ms
b
Results
AccuracySegmentsBranch
60.5%2b
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes21.0ms (0.6%)

Memory
-18.3MiB live, 27.5MiB allocated; 4ms collecting garbage
Counts
13 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ 2 b) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64)))))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))))
Calls

3 calls:

4.0ms
b
3.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
3.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
60.4%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
60.2%2(exp.f64 b)
60.3%2b
Compiler

Compiled 11 to 11 computations (0% saved)

regimes20.0ms (0.6%)

Memory
2.8MiB live, 48.4MiB allocated; 3ms 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 (pow (- (exp b) -1) -1) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ 2 b) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.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:

5.0ms
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
52.1%1(exp.f64 a)
52.1%1a
54.8%2(exp.f64 b)
54.9%2b
54.8%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes13.0ms (0.4%)

Memory
33.7MiB live, 33.7MiB allocated; 0ms collecting garbage
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ 2 b) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (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) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
Calls

5 calls:

3.0ms
b
3.0ms
a
2.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
2.0ms
(exp.f64 b)
2.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
40.0%1(exp.f64 a)
40.0%1a
40.0%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
40.0%1(exp.f64 b)
40.0%1b
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes9.0ms (0.3%)

Memory
-35.5MiB live, 15.2MiB allocated; 5ms collecting garbage
Accuracy

Total -22.9b remaining (-59.2%)

Threshold costs -22.9b (-59.2%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
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
(exp.f64 a)
1.0ms
a
1.0ms
b
1.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
39.5%1(exp.f64 a)
39.5%1(exp.f64 b)
39.5%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
39.5%1a
39.5%1b
Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch14.0ms (0.4%)

Memory
23.6MiB live, 23.6MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
-3.1376389814756174e-14
-1.1892981804966906e-22
Samples
7.0ms144×0valid
Compiler

Compiled 236 to 209 computations (11.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-exp: 2.0ms (49.9% of total)
ival-div: 1.0ms (24.9% of total)
ival-add: 1.0ms (24.9% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch46.0ms (1.3%)

Memory
-19.3MiB live, 27.4MiB allocated; 3ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
44.0ms
-6.735429078849167e-7
-3.1376389814756174e-14
Samples
39.0ms144×0valid
Compiler

Compiled 254 to 227 computations (10.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-exp: 34.0ms (95% of total)
ival-div: 1.0ms (2.8% of total)
ival-add: 1.0ms (2.8% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch22.0ms (0.6%)

Memory
34.7MiB live, 34.7MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
8.0ms
9.685215436417442e-253
1.1452886849187918e-251
12.0ms
7.003239549985436e-274
1.229715645869913e-270
Samples
11.0ms224×0valid
Compiler

Compiled 1 133 to 811 computations (28.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-exp: 3.0ms (52.2% of total)
ival-div: 1.0ms (17.4% of total)
ival-add: 1.0ms (17.4% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch24.0ms (0.7%)

Memory
-26.0MiB live, 21.3MiB allocated; 4ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
22.0ms
-1.32570481984e-311
7.1202389472294e-307
Samples
17.0ms112×0valid
Compiler

Compiled 634 to 438 computations (30.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-div: 13.0ms (88% of total)
ival-exp: 2.0ms (13.5% 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)

bsearch2.0ms (0%)

Memory
4.4MiB live, 4.4MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
-1.32570481984e-311
7.1202389472294e-307
Compiler

Compiled 669 to 466 computations (30.3% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.0325649901493724e-67
0.03364083773127356
Compiler

Compiled 11 to 11 computations (0% saved)

bsearch2.0ms (0%)

Memory
4.6MiB live, 4.6MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
-1.32570481984e-311
7.1202389472294e-307
Compiler

Compiled 613 to 424 computations (30.8% saved)

simplify56.0ms (1.6%)

Memory
20.4MiB live, 65.5MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0125650
1190640
2418640
31220640
44765640
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (<=.f64 a #s(literal -1188422437713965/39614081257132168796771975168 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 -1558380939346983/2361183241434822606848 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
(if (<=.f64 b #s(literal 5710144928554687/4758454107128905800953799994079681792420032645310062268978469949811010102913293995344538606387700321887355916128617513761454672785743698264930657859527662802505506689431871596616596511469752757984765426503524599059416795862009216282102716609115705865638544337453260521036049116206989312 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))))) (if (<=.f64 b #s(literal 4044755004007437/4127301024497384737127654569660285988428494734657199391624693039270889863724412964643884811622321780427143710884821317803768340308614730759769835769241715444596770968742227220068214981847081570726751819595399909407406471037121576084674975771617472472574520163263578112 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.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 4807053516048627/12650140831706913647030959169932331690597290610258882397306334876714396222999709180747523981339820280949192366519800744461863046086612092304188337496296156870094839017285397585279181733880826021327485479904546566785125467714043293663631459728072472271300628532022423097020838413451906408261645469290375391456731733818343424 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.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 4807053516048627/12650140831706913647030959169932331690597290610258882397306334876714396222999709180747523981339820280949192366519800744461863046086612092304188337496296156870094839017285397585279181733880826021327485479904546566785125467714043293663631459728072472271300628532022423097020838413451906408261645469290375391456731733818343424 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 3794275180128377/7588550360256754183279148073529370729071901715047420004889892225542594864082845696 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))))))
(if (<=.f64 b #s(literal 4807053516048627/12650140831706913647030959169932331690597290610258882397306334876714396222999709180747523981339820280949192366519800744461863046086612092304188337496296156870094839017285397585279181733880826021327485479904546566785125467714043293663631459728072472271300628532022423097020838413451906408261645469290375391456731733818343424 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64)))
Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (<=.f64 a #s(literal -1188422437713965/39614081257132168796771975168 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 -1558380939346983/2361183241434822606848 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
(if (<=.f64 b #s(literal 5710144928554687/4758454107128905800953799994079681792420032645310062268978469949811010102913293995344538606387700321887355916128617513761454672785743698264930657859527662802505506689431871596616596511469752757984765426503524599059416795862009216282102716609115705865638544337453260521036049116206989312 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))))) (if (<=.f64 b #s(literal 4044755004007437/4127301024497384737127654569660285988428494734657199391624693039270889863724412964643884811622321780427143710884821317803768340308614730759769835769241715444596770968742227220068214981847081570726751819595399909407406471037121576084674975771617472472574520163263578112 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.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 4807053516048627/12650140831706913647030959169932331690597290610258882397306334876714396222999709180747523981339820280949192366519800744461863046086612092304188337496296156870094839017285397585279181733880826021327485479904546566785125467714043293663631459728072472271300628532022423097020838413451906408261645469290375391456731733818343424 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.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 4807053516048627/12650140831706913647030959169932331690597290610258882397306334876714396222999709180747523981339820280949192366519800744461863046086612092304188337496296156870094839017285397585279181733880826021327485479904546566785125467714043293663631459728072472271300628532022423097020838413451906408261645469290375391456731733818343424 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 3794275180128377/7588550360256754183279148073529370729071901715047420004889892225542594864082845696 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))))))
(if (<=.f64 b #s(literal 4807053516048627/12650140831706913647030959169932331690597290610258882397306334876714396222999709180747523981339820280949192366519800744461863046086612092304188337496296156870094839017285397585279181733880826021327485479904546566785125467714043293663631459728072472271300628532022423097020838413451906408261645469290375391456731733818343424 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64)))

derivations374.0ms (10.7%)

Memory
-27.7MiB live, 445.4MiB allocated; 71ms collecting garbage
Stop Event
fuel
Compiler

Compiled 655 to 133 computations (79.7% saved)

preprocess59.0ms (1.7%)

Memory
43.0MiB live, 135.4MiB allocated; 12ms collecting garbage
Compiler

Compiled 1 342 to 292 computations (78.2% saved)

end0.0ms (0%)

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

Profiling

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