Quotient of sum of exps

Time bar (total: 6.3s)

start0.0ms (0%)

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

analyze5.0ms (0.1%)

Memory
11.1MiB live, 11.1MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
50%50%50%0.1%0%0%0%2
75%74.9%25%0.1%0%0%0%3
87.5%87.4%12.5%0.1%0%0%0%4
93.8%93.7%6.2%0.1%0%0%0%5
93.8%93.7%6.2%0.1%0%0%0%6
95.2%93.7%4.7%0.1%0%1.6%0%7
96%93.7%3.9%0.1%0%2.3%0%8
97.2%93.7%2.7%0.1%0%3.5%0%9
97.8%93.7%2.1%0.1%0%4.1%0%10
98.5%93.7%1.5%0.1%0%4.8%0%11
98.8%93.7%1.1%0.1%0%5.1%0%12
Compiler

Compiled 10 to 8 computations (20% saved)

sample1.2s (18.7%)

Memory
101.2MiB live, 2 001.1MiB allocated; 409ms collecting garbage
Samples
481.0ms8 256×0valid
181.0ms3 031×0exit
Precisions
Click to see histograms. Total time spent on operations: 357.0ms
ival-exp: 212.0ms (59.4% of total)
ival-div: 76.0ms (21.3% of total)
ival-add: 63.0ms (17.6% of total)
ival-assert: 4.0ms (1.1% of total)
adjust: 3.0ms (0.8% of total)
Bogosity

explain168.0ms (2.7%)

Memory
-55.0MiB live, 112.6MiB allocated; 147ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
30-0-(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
00-0-(+.f64 (exp.f64 a) (exp.f64 b))
00-0-a
00-0-(exp.f64 b)
00-0-b
00-0-(exp.f64 a)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))o/o20
(exp.f64 a)overflow2
(+.f64 (exp.f64 a) (exp.f64 b))overflow79
(exp.f64 a)overflow2
(exp.f64 b)overflow77
/.f64(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))u/u10
(exp.f64 a)underflow65
(+.f64 (exp.f64 a) (exp.f64 b))underflow1
(exp.f64 a)underflow65
(exp.f64 b)underflow61
Confusion
Predicted +Predicted -
+30
-0253
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+300
-00253
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0253
13
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
30.0ms512×0valid
Compiler

Compiled 50 to 22 computations (56% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-exp: 7.0ms (52.4% of total)
ival-div: 3.0ms (22.4% of total)
ival-add: 2.0ms (15% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess38.0ms (0.6%)

Memory
4.7MiB live, 50.8MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02156
15156
215256
356851
4326951
098
0138
0138
Stop Event
saturated
saturated
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)))
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
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.8%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 8 to 6 computations (25% saved)

series7.0ms (0.1%)

Memory
15.3MiB live, 15.3MiB allocated; 0ms collecting garbage
Counts
6 → 30
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(exp.f64 a)
a
(+.f64 (exp.f64 a) (exp.f64 b))
(exp.f64 b)
b
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (exp a) #s(hole binary64 1))
#s(approx (exp a) #s(hole binary64 (+ 1 a)))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx a #s(hole binary64 a))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ (exp a) (exp b)))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (exp b) #s(hole binary64 1))
#s(approx (exp b) #s(hole binary64 (+ 1 b)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx b #s(hole binary64 b))
#s(approx (exp b) #s(hole binary64 (exp b)))
Calls

6 calls:

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

rewrite982.0ms (15.6%)

Memory
-17.7MiB live, 166.2MiB allocated; 24ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0186786
1250782
2252780
3253778
4253778
0253741
11119732
08112732
18984732
211309732
314436732
417276732
519112732
620184732
721044732
822099732
922836732
1023149732
1123243732
1223259732
1323260732
Stop Event
saturated
node limit
saturated
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 (/.f64 (cosh.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (sinh.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (neg.f64 (exp.f64 a)) (neg.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (neg.f64 (neg.f64 (exp.f64 a))) (neg.f64 (neg.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(+.f64 (cosh.f64 a) (sinh.f64 a))
(exp.f64 a)
(/.f64 (+.f64 (pow.f64 (cosh.f64 a) #s(literal 3 binary64)) (pow.f64 (sinh.f64 a) #s(literal 3 binary64))) (fma.f64 (cosh.f64 a) (cosh.f64 a) (-.f64 (*.f64 (sinh.f64 a) (sinh.f64 a)) (*.f64 (cosh.f64 a) (sinh.f64 a)))))
(/.f64 (-.f64 (*.f64 (cosh.f64 a) (cosh.f64 a)) (*.f64 (sinh.f64 a) (sinh.f64 a))) (-.f64 (cosh.f64 a) (sinh.f64 a)))
a
(+.f64 (exp.f64 a) (exp.f64 b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (/.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))))) (/.f64 (exp.f64 (*.f64 b #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))))))
(-.f64 (/.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b)))))
(/.f64 (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64)))) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64))))) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (+.f64 (exp.f64 (*.f64 b #s(literal 3 binary64))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (*.f64 (exp.f64 b) (exp.f64 a)))))
(/.f64 (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (*.f64 a #s(literal 2 binary64)))) (-.f64 (exp.f64 b) (exp.f64 a)))
(+.f64 (cosh.f64 b) (sinh.f64 b))
(exp.f64 b)
(/.f64 (+.f64 (pow.f64 (cosh.f64 b) #s(literal 3 binary64)) (pow.f64 (sinh.f64 b) #s(literal 3 binary64))) (fma.f64 (cosh.f64 b) (cosh.f64 b) (-.f64 (*.f64 (sinh.f64 b) (sinh.f64 b)) (*.f64 (cosh.f64 b) (sinh.f64 b)))))
(/.f64 (-.f64 (*.f64 (cosh.f64 b) (cosh.f64 b)) (*.f64 (sinh.f64 b) (sinh.f64 b))) (-.f64 (cosh.f64 b) (sinh.f64 b)))
b
#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))) (fma.f64 a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 a (fma.f64 a (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))) (+.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -3 binary64)) (*.f64 #s(literal -3/2 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -2 binary64))))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 a (fma.f64 a (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))) (+.f64 (fma.f64 a (-.f64 (fma.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -3 binary64)) #s(literal 3/2 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 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #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))) (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 #s(literal -3/2 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -2 binary64))))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #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 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (exp a) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #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 #s(literal 1 binary64) (+.f64 a (exp.f64 b))))
#s(approx (+ (exp a) (exp b)) (+.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 b))))
#s(approx (+ (exp a) (exp b)) (+.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (exp.f64 b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))
#s(approx (exp a) (exp.f64 a))
#s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) (exp.f64 b)))
#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 #s(literal -1 binary64) (*.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 b (-.f64 (neg.f64 (*.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))))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 b (-.f64 (*.f64 b (-.f64 (neg.f64 (*.f64 b (fma.f64 #s(literal -1 binary64) (/.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))) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 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)))))))) (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 b)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
#s(approx (+ (exp a) (exp b)) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) b)))
#s(approx (+ (exp a) (exp b)) (+.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 a))))
#s(approx (+ (exp a) (exp b)) (+.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (exp.f64 a))))
#s(approx (exp b) #s(literal 1 binary64))
#s(approx (exp b) (+.f64 b #s(literal 1 binary64)))
#s(approx (exp b) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (exp b) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx b b)
#s(approx (exp b) (exp.f64 b))

eval7.0ms (0.1%)

Memory
13.8MiB live, 13.8MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 314 to 272 computations (79.3% saved)

prune3.0ms (0%)

Memory
6.5MiB live, 6.5MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New62365
Fresh000
Picked101
Done000
Total63366
Accuracy
99.7%
Counts
66 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.4%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
87.3%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))))
87.1%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
Compiler

Compiled 55 to 34 computations (38.2% saved)

series15.0ms (0.2%)

Memory
-24.2MiB live, 22.3MiB allocated; 2ms collecting garbage
Counts
16 → 59
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(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))))
(fma.f64 a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
a
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #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 -2 binary64))
#s(literal -2 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))
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 (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 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 (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ (exp a) (exp b)))))
#s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) #s(hole binary64 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))))
#s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 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 (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) #s(hole binary64 (* -1 (* a (- (* -1 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (* a (+ 1 (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 (/ 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 (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) #s(hole binary64 (+ 1/2 (* 1/4 a))))
#s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* 1/4 a)))))
#s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) #s(hole binary64 (+ 1/2 (+ (* 1/4 a) (* b (- (* -1/16 (* a b)) 1/4))))))
#s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) #s(hole binary64 (+ 1/2 (+ (* 1/4 a) (* b (- (* b (+ (* -1/16 a) (* 1/48 b))) 1/4))))))
#s(approx (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2)) #s(hole binary64 1/4))
#s(approx (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2)) #s(hole binary64 (+ 1/4 (* -1/16 (pow b 2)))))
#s(approx (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2)) #s(hole binary64 (+ 1/4 (* (pow b 2) (- (* 1/96 (pow b 2)) 1/16)))))
#s(approx (- (/ 1 (+ (exp b) 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) -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 (/ 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 (- (/ 1 (+ (exp b) 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) -2) #s(hole binary64 (/ 1 (pow (+ 1 (exp b)) 2))))
Calls

6 calls:

TimeVariablePointExpression
4.0ms
b
@-inf
((/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) 1 (+ (exp b) 1) (exp b) b (/ (exp a) (+ (exp a) (exp b))) (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2)) (pow (+ (exp b) 1) -2) -2 (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp b))
3.0ms
b
@inf
((/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) 1 (+ (exp b) 1) (exp b) b (/ (exp a) (+ (exp a) (exp b))) (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2)) (pow (+ (exp b) 1) -2) -2 (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp b))
2.0ms
a
@0
((/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) 1 (+ (exp b) 1) (exp b) b (/ (exp a) (+ (exp a) (exp b))) (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2)) (pow (+ (exp b) 1) -2) -2 (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp b))
2.0ms
b
@0
((/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) 1 (+ (exp b) 1) (exp b) b (/ (exp a) (+ (exp a) (exp b))) (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2)) (pow (+ (exp b) 1) -2) -2 (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp b))
1.0ms
a
@inf
((/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) 1 (+ (exp b) 1) (exp b) b (/ (exp a) (+ (exp a) (exp b))) (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2)) (pow (+ (exp b) 1) -2) -2 (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp b))

rewrite912.0ms (14.5%)

Memory
26.1MiB live, 168.0MiB allocated; 16ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
03291629
14561625
24581625
34611625
44651625
54681625
64691625
74711625
04711554
119601540
083411514
196001500
2122361498
3152521495
4178571495
5194911495
6204111495
7210971495
8218141495
9222921495
10224861495
11225411495
12225481495
Stop Event
saturated
node limit
saturated
Counts
75 → 148
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(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))))
(fma.f64 a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
a
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #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 -2 binary64))
#s(literal -2 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(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 (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 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 (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ (exp a) (exp b)))))
#s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) #s(hole binary64 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))))
#s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 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 (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) #s(hole binary64 (* -1 (* a (- (* -1 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (* a (+ 1 (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 (/ 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 (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) #s(hole binary64 (+ 1/2 (* 1/4 a))))
#s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* 1/4 a)))))
#s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) #s(hole binary64 (+ 1/2 (+ (* 1/4 a) (* b (- (* -1/16 (* a b)) 1/4))))))
#s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) #s(hole binary64 (+ 1/2 (+ (* 1/4 a) (* b (- (* b (+ (* -1/16 a) (* 1/48 b))) 1/4))))))
#s(approx (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2)) #s(hole binary64 1/4))
#s(approx (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2)) #s(hole binary64 (+ 1/4 (* -1/16 (pow b 2)))))
#s(approx (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2)) #s(hole binary64 (+ 1/4 (* (pow b 2) (- (* 1/96 (pow b 2)) 1/16)))))
#s(approx (- (/ 1 (+ (exp b) 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) -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 (/ 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 (- (/ 1 (+ (exp b) 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) -2) #s(hole binary64 (/ 1 (pow (+ 1 (exp b)) 2))))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 b)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+.f64 (exp.f64 b) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (exp.f64 b))))) (/.f64 (exp.f64 (*.f64 b #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (exp.f64 b))))))
(+.f64 (/.f64 (exp.f64 (*.f64 b #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) #s(literal 1 binary64))))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 b)) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 b))))
(-.f64 (/.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (expm1.f64 b)) (/.f64 #s(literal 1 binary64) (expm1.f64 b)))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (exp.f64 b)))))
(/.f64 (+.f64 (exp.f64 (*.f64 b #s(literal 3 binary64))) #s(literal 1 binary64)) (+.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 b)))
(/.f64 (expm1.f64 (*.f64 b #s(literal 2 binary64))) (expm1.f64 b))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (exp.f64 b))))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 b #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (+.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 2 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 b #s(literal 2 binary64)))) (neg.f64 (expm1.f64 b)))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 1 binary64))
(+.f64 (cosh.f64 b) (sinh.f64 b))
(exp.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)))))
b
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (*.f64 a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))))
(+.f64 (*.f64 a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(+.f64 (/.f64 (pow.f64 (*.f64 a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)) (*.f64 (*.f64 a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -3 binary64)) (+.f64 (pow.f64 (*.f64 a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)) (*.f64 (*.f64 a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))))))
(-.f64 (/.f64 (pow.f64 (*.f64 a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)) (-.f64 (*.f64 a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))))
(fma.f64 a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 (+.f64 (pow.f64 (*.f64 a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -3 binary64))) (+.f64 (pow.f64 (*.f64 a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)) (*.f64 (*.f64 a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) (-.f64 (*.f64 a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)) (*.f64 (*.f64 a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))) (neg.f64 (-.f64 (*.f64 a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -3 binary64)) (pow.f64 (*.f64 a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)) (-.f64 (pow.f64 (*.f64 a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (*.f64 a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))))))))
a
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))
(-.f64 (/.f64 (*.f64 #s(literal 1 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 3 binary64))) (/.f64 (*.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 3 binary64))))
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -3 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -3 binary64))))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -6 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -3 binary64))))))
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (*.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 3 binary64)))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -6 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -3 binary64)))))
(/.f64 (-.f64 (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))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal 1 binary64))) (*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal -1 binary64))) (*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b))) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 1 binary64)))) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -6 binary64)))) (neg.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -3 binary64))))))
(/.f64 (neg.f64 (-.f64 (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)))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))))
(+.f64 (cosh.f64 (*.f64 (log1p.f64 (exp.f64 b)) #s(literal -2 binary64))) (sinh.f64 (*.f64 (log1p.f64 (exp.f64 b)) #s(literal -2 binary64))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 b)) #s(literal -2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (exp.f64 b)) #s(literal 2 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log1p.f64 (exp.f64 b)) #s(literal 2 binary64))))
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log1p.f64 (exp.f64 b)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal 2 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (log1p.f64 (exp.f64 b))) #s(literal -2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(*.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (fabs.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
#s(literal -2 binary64)
(+.f64 (/.f64 (cosh.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) (/.f64 (sinh.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 (neg.f64 (exp.f64 a)) (neg.f64 (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (exp.f64 a))) (neg.f64 (neg.f64 (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))))
(+.f64 (cosh.f64 a) (sinh.f64 a))
(exp.f64 a)
(/.f64 (+.f64 (pow.f64 (cosh.f64 a) #s(literal 3 binary64)) (pow.f64 (sinh.f64 a) #s(literal 3 binary64))) (fma.f64 (cosh.f64 a) (cosh.f64 a) (-.f64 (*.f64 (sinh.f64 a) (sinh.f64 a)) (*.f64 (cosh.f64 a) (sinh.f64 a)))))
(+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))
(+.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a))
(+.f64 (/.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (-.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 (pow.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(literal 3 binary64)) (+.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (-.f64 (pow.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))))))
(-.f64 (/.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) (/.f64 (pow.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))))
(/.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (pow.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (-.f64 (pow.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))))
(/.f64 (-.f64 (exp.f64 (*.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 (neg.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (pow.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (-.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 (neg.f64 (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (pow.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(literal 3 binary64)) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) (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 #s(literal 1 binary64) (exp.f64 b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 a (fma.f64 a (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -3 binary64)) (/.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 a (fma.f64 a (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (-.f64 (fma.f64 a (-.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -3 binary64)) #s(literal 3/2 binary64) (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -4 binary64))))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -3 binary64))) (/.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
#s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
#s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (fma.f64 a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
#s(approx a a)
#s(approx (exp a) #s(literal 1 binary64))
#s(approx (exp a) (+.f64 a #s(literal 1 binary64)))
#s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (exp a) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #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 #s(literal 1 binary64) (+.f64 a (exp.f64 b))))
#s(approx (+ (exp a) (exp b)) (+.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 b))))
#s(approx (+ (exp a) (exp b)) (+.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (exp.f64 b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))))
#s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (*.f64 a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))))
#s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (*.f64 a (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a)) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))))
#s(approx (exp a) (exp.f64 a))
#s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 b) (exp.f64 a)))
#s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (neg.f64 (*.f64 a (-.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 #s(literal -1 binary64) (*.f64 b (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 b (-.f64 (neg.f64 (*.f64 b (fma.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 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))))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 b (-.f64 (*.f64 b (-.f64 (neg.f64 (*.f64 b (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 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))) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))))))) (fma.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 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))))) (/.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 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
#s(approx (/ 1 (+ (exp b) 1)) (fma.f64 b (-.f64 (*.f64 (pow.f64 b #s(literal 2 binary64)) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
#s(approx (/ 1 (+ (exp b) 1)) (fma.f64 b (-.f64 (*.f64 (pow.f64 b #s(literal 2 binary64)) (fma.f64 (pow.f64 b #s(literal 2 binary64)) #s(literal -1/480 binary64) #s(literal 1/48 binary64))) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
#s(approx (+ (exp b) 1) #s(literal 2 binary64))
#s(approx (+ (exp b) 1) (+.f64 b #s(literal 2 binary64)))
#s(approx (+ (exp b) 1) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
#s(approx (+ (exp b) 1) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 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 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (exp b) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx b b)
#s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
#s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (+.f64 (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (*.f64 a #s(literal 1/4 binary64))))
#s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (+.f64 #s(literal 1/2 binary64) (fma.f64 b (-.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 a b)) #s(literal 1/4 binary64)) (*.f64 a #s(literal 1/4 binary64)))))
#s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (+.f64 #s(literal 1/2 binary64) (fma.f64 b (-.f64 (*.f64 b (fma.f64 a #s(literal -1/16 binary64) (*.f64 b #s(literal 1/48 binary64)))) #s(literal 1/4 binary64)) (*.f64 a #s(literal 1/4 binary64)))))
#s(approx (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2)) #s(literal 1/4 binary64))
#s(approx (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2)) (fma.f64 (pow.f64 b #s(literal 2 binary64)) #s(literal -1/16 binary64) #s(literal 1/4 binary64)))
#s(approx (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2)) (fma.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 b #s(literal 2 binary64)) #s(literal 1/96 binary64)) #s(literal 1/16 binary64)) #s(literal 1/4 binary64)))
#s(approx (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2)) (fma.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 b #s(literal 2 binary64)) (fma.f64 (pow.f64 b #s(literal 2 binary64)) #s(literal -17/11520 binary64) #s(literal 1/96 binary64))) #s(literal 1/16 binary64)) #s(literal 1/4 binary64)))
#s(approx (pow (+ (exp b) 1) -2) #s(literal 1/4 binary64))
#s(approx (pow (+ (exp b) 1) -2) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/4 binary64)))
#s(approx (pow (+ (exp b) 1) -2) (fma.f64 b (-.f64 (*.f64 b #s(literal 1/16 binary64)) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)))
#s(approx (pow (+ (exp b) 1) -2) (fma.f64 b (-.f64 (*.f64 b (fma.f64 b #s(literal 1/48 binary64) #s(literal 1/16 binary64))) #s(literal 1/4 binary64)) #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 #s(literal 1 binary64) (+.f64 b (exp.f64 a))))
#s(approx (+ (exp a) (exp b)) (+.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 a))))
#s(approx (+ (exp a) (exp b)) (+.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (exp.f64 a))))
#s(approx (/ 1 (+ (exp b) 1)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
#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 (+ (exp b) 1) -2)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))))
#s(approx (pow (+ (exp b) 1) -2) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))

eval47.0ms (0.8%)

Memory
10.3MiB live, 56.3MiB allocated; 4ms collecting garbage
Compiler

Compiled 9 218 to 987 computations (89.3% saved)

prune19.0ms (0.3%)

Memory
-25.6MiB live, 27.6MiB allocated; 6ms collecting garbage
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New26410274
Fresh000
Picked123
Done000
Total26512277
Accuracy
99.7%
Counts
277 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.4%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
61.9%
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
61.5%
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
87.1%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
52.5%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
48.3%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
34.7%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 b #s(literal 2 binary64)))))
34.7%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
37.5%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
37.5%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
33.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (+.f64 #s(literal 1/2 binary64) (fma.f64 b (-.f64 (*.f64 b (fma.f64 a #s(literal -1/16 binary64) (*.f64 b #s(literal 1/48 binary64)))) #s(literal 1/4 binary64)) (*.f64 a #s(literal 1/4 binary64))))))
86.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (*.f64 a (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a)) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))))))
Compiler

Compiled 573 to 361 computations (37% saved)

series34.0ms (0.5%)

Memory
25.3MiB live, 71.0MiB allocated; 6ms collecting garbage
Counts
39 → 153
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (*.f64 a (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a)) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))))))
#s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (*.f64 a (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a)) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))))
(*.f64 a (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a)) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))))
a
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a)) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a)) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) a)
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(exp.f64 b)
b
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))
#s(literal -2 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 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ 1 (+ (exp b) 1)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
#s(literal -1/4 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
#s(approx (+ (exp b) 1) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (+.f64 #s(literal 1/2 binary64) (fma.f64 b (-.f64 (*.f64 b (fma.f64 a #s(literal -1/16 binary64) (*.f64 b #s(literal 1/48 binary64)))) #s(literal 1/4 binary64)) (*.f64 a #s(literal 1/4 binary64))))))
#s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (+.f64 #s(literal 1/2 binary64) (fma.f64 b (-.f64 (*.f64 b (fma.f64 a #s(literal -1/16 binary64) (*.f64 b #s(literal 1/48 binary64)))) #s(literal 1/4 binary64)) (*.f64 a #s(literal 1/4 binary64)))))
(+.f64 #s(literal 1/2 binary64) (fma.f64 b (-.f64 (*.f64 b (fma.f64 a #s(literal -1/16 binary64) (*.f64 b #s(literal 1/48 binary64)))) #s(literal 1/4 binary64)) (*.f64 a #s(literal 1/4 binary64))))
(fma.f64 b (-.f64 (*.f64 b (fma.f64 a #s(literal -1/16 binary64) (*.f64 b #s(literal 1/48 binary64)))) #s(literal 1/4 binary64)) (*.f64 a #s(literal 1/4 binary64)))
(-.f64 (*.f64 b (fma.f64 a #s(literal -1/16 binary64) (*.f64 b #s(literal 1/48 binary64)))) #s(literal 1/4 binary64))
(*.f64 b (fma.f64 a #s(literal -1/16 binary64) (*.f64 b #s(literal 1/48 binary64))))
(fma.f64 a #s(literal -1/16 binary64) (*.f64 b #s(literal 1/48 binary64)))
#s(literal -1/16 binary64)
(*.f64 b #s(literal 1/48 binary64))
#s(literal 1/48 binary64)
#s(literal 1/4 binary64)
(*.f64 a #s(literal 1/4 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 (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (* a (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (* a (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2))) #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 (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) #s(hole binary64 (/ 1 (* a (+ 1 (exp b))))))
#s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) #s(hole binary64 (/ (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) a)))
#s(approx (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) #s(hole binary64 (/ 1 (* a (+ 1 (exp b))))))
#s(approx (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) #s(hole binary64 (/ (+ (/ 1 (+ 1 (exp b))) (/ a (+ 1 (exp b)))) a)))
#s(approx (+ 1 (/ 1 a)) #s(hole binary64 (/ 1 a)))
#s(approx (+ 1 (/ 1 a)) #s(hole binary64 (/ (+ 1 a) a)))
#s(approx (/ 1 a) #s(hole binary64 (/ 1 a)))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) #s(hole binary64 (+ 1/2 (+ (* a (+ 1/4 (* -1/16 (pow b 2)))) (* b (- (* 1/48 (pow b 2)) 1/4))))))
#s(approx (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) #s(hole binary64 (* b (- (* 1/48 (pow b 2)) 1/4))))
#s(approx (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) #s(hole binary64 (+ (* a (+ 1/4 (* -1/16 (pow b 2)))) (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (- (* b (+ (* a -1/16) (* b 1/48))) 1/4) #s(hole binary64 (- (* 1/48 (pow b 2)) 1/4)))
#s(approx (- (* b (+ (* a -1/16) (* b 1/48))) 1/4) #s(hole binary64 (- (+ (* -1/16 (* a b)) (* 1/48 (pow b 2))) 1/4)))
#s(approx (* b (+ (* a -1/16) (* b 1/48))) #s(hole binary64 (* 1/48 (pow b 2))))
#s(approx (* b (+ (* a -1/16) (* b 1/48))) #s(hole binary64 (+ (* -1/16 (* a b)) (* 1/48 (pow b 2)))))
#s(approx (+ (* a -1/16) (* b 1/48)) #s(hole binary64 (* 1/48 b)))
#s(approx (+ (* a -1/16) (* b 1/48)) #s(hole binary64 (+ (* -1/16 a) (* 1/48 b))))
#s(approx (* a 1/4) #s(hole binary64 (* 1/4 a)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ (exp a) (exp b)))))
#s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) #s(hole binary64 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))))
#s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) #s(hole binary64 (* a (- (+ (/ 1 (* a (+ 1 (exp b)))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2))))))
#s(approx (* a (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2))) #s(hole binary64 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))))
#s(approx (* a (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2))) #s(hole binary64 (* a (- (+ (/ 1 (* a (+ 1 (exp b)))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2))))))
#s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) #s(hole binary64 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))
#s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) #s(hole binary64 (- (+ (/ 1 (* a (+ 1 (exp b)))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))))
#s(approx (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) #s(hole binary64 (+ (/ 1 (* a (+ 1 (exp b)))) (/ 1 (+ 1 (exp b))))))
#s(approx (+ 1 (/ 1 a)) #s(hole binary64 1))
#s(approx (+ 1 (/ 1 a)) #s(hole binary64 (+ 1 (/ 1 a))))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) #s(hole binary64 (* a (+ 1/4 (* -1/16 (pow b 2))))))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) #s(hole binary64 (* a (+ 1/4 (+ (* -1/16 (pow b 2)) (+ (* 1/2 (/ 1 a)) (/ (* b (- (* 1/48 (pow b 2)) 1/4)) a)))))))
#s(approx (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) #s(hole binary64 (* a (+ 1/4 (* -1/16 (pow b 2))))))
#s(approx (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) #s(hole binary64 (* a (+ 1/4 (+ (* -1/16 (pow b 2)) (/ (* b (- (* 1/48 (pow b 2)) 1/4)) a))))))
#s(approx (- (* b (+ (* a -1/16) (* b 1/48))) 1/4) #s(hole binary64 (* -1/16 (* a b))))
#s(approx (- (* b (+ (* a -1/16) (* b 1/48))) 1/4) #s(hole binary64 (* a (- (+ (* -1/16 b) (* 1/48 (/ (pow b 2) a))) (* 1/4 (/ 1 a))))))
#s(approx (* b (+ (* a -1/16) (* b 1/48))) #s(hole binary64 (* -1/16 (* a b))))
#s(approx (* b (+ (* a -1/16) (* b 1/48))) #s(hole binary64 (* a (+ (* -1/16 b) (* 1/48 (/ (pow b 2) a))))))
#s(approx (+ (* a -1/16) (* b 1/48)) #s(hole binary64 (* -1/16 a)))
#s(approx (+ (* a -1/16) (* b 1/48)) #s(hole binary64 (* a (- (* 1/48 (/ b a)) 1/16))))
#s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) #s(hole binary64 (* -1 (* a (- (* -1 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (* a (+ 1 (exp b)))))))))
#s(approx (* a (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2))) #s(hole binary64 (* -1 (* a (- (* -1 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (* a (+ 1 (exp b)))))))))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) #s(hole binary64 (* -1 (* a (- (* 1/16 (pow b 2)) 1/4)))))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) #s(hole binary64 (* -1 (* a (- (+ (* -1 (/ (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4))) a)) (* 1/16 (pow b 2))) 1/4)))))
#s(approx (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) #s(hole binary64 (* -1 (* a (- (* 1/16 (pow b 2)) 1/4)))))
#s(approx (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) #s(hole binary64 (* -1 (* a (- (+ (* -1 (/ (* b (- (* 1/48 (pow b 2)) 1/4)) a)) (* 1/16 (pow b 2))) 1/4)))))
#s(approx (- (* b (+ (* a -1/16) (* b 1/48))) 1/4) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* 1/48 (pow b 2)) 1/4) a)) (* 1/16 b))))))
#s(approx (* b (+ (* a -1/16) (* b 1/48))) #s(hole binary64 (* -1 (* a (+ (* -1/48 (/ (pow b 2) a)) (* 1/16 b))))))
#s(approx (+ (* a -1/16) (* b 1/48)) #s(hole binary64 (* -1 (* a (+ 1/16 (* -1/48 (/ 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 (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) #s(hole binary64 (+ 1/2 (* 1/4 a))))
#s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* 1/4 a)))))
#s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) #s(hole binary64 (+ 1/2 (+ (* 1/4 a) (* b (- (* -1/16 (* a b)) 1/4))))))
#s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) #s(hole binary64 (+ 1/2 (+ (* 1/4 a) (* b (- (* b (+ (* -1/16 a) (* 1/48 b))) 1/4))))))
#s(approx (* a (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2))) #s(hole binary64 (* a (+ 1/4 (* 1/2 (/ 1 a))))))
#s(approx (* a (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2))) #s(hole binary64 (+ (* -1/4 b) (* a (+ 1/4 (* 1/2 (/ 1 a)))))))
#s(approx (* a (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2))) #s(hole binary64 (+ (* a (+ 1/4 (* 1/2 (/ 1 a)))) (* b (- (* -1/16 (* a b)) 1/4)))))
#s(approx (* a (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2))) #s(hole binary64 (+ (* a (+ 1/4 (* 1/2 (/ 1 a)))) (* b (- (* b (+ (* -1/16 a) (* 1/48 b))) 1/4)))))
#s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) #s(hole binary64 (+ 1/4 (* 1/2 (/ 1 a)))))
#s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) #s(hole binary64 (+ 1/4 (+ (* -1/4 (/ b a)) (* 1/2 (/ 1 a))))))
#s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) #s(hole binary64 (+ 1/4 (+ (* 1/2 (/ 1 a)) (* b (- (* -1/16 b) (* 1/4 (/ 1 a))))))))
#s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) #s(hole binary64 (+ 1/4 (+ (* 1/2 (/ 1 a)) (* b (- (* b (- (* 1/48 (/ b a)) 1/16)) (* 1/4 (/ 1 a))))))))
#s(approx (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) #s(hole binary64 (* 1/2 (+ 1 (/ 1 a)))))
#s(approx (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) #s(hole binary64 (+ (* -1/4 (* b (+ 1 (/ 1 a)))) (* 1/2 (+ 1 (/ 1 a))))))
#s(approx (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) #s(hole binary64 (+ (* 1/2 (+ 1 (/ 1 a))) (* b (- (* -1 (* b (+ (* -1/8 (+ 1 (/ 1 a))) (* 1/8 (+ 1 (/ 1 a)))))) (* 1/4 (+ 1 (/ 1 a))))))))
#s(approx (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) #s(hole binary64 (+ (* 1/2 (+ 1 (/ 1 a))) (* b (- (* b (- (* -1 (* b (+ (* -1/2 (+ (* -1/8 (+ 1 (/ 1 a))) (* 1/8 (+ 1 (/ 1 a))))) (+ (* -1/16 (+ 1 (/ 1 a))) (* 1/24 (+ 1 (/ 1 a))))))) (+ (* -1/8 (+ 1 (/ 1 a))) (* 1/8 (+ 1 (/ 1 a)))))) (* 1/4 (+ 1 (/ 1 a))))))))
#s(approx (+ 1 (exp b)) #s(hole binary64 2))
#s(approx (+ 1 (exp b)) #s(hole binary64 (+ 2 b)))
#s(approx (+ 1 (exp b)) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#s(approx (+ 1 (exp b)) #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 (+ 1 (exp b)) -2) #s(hole binary64 1/4))
#s(approx (pow (+ 1 (exp b)) -2) #s(hole binary64 (+ 1/4 (* -1/4 b))))
#s(approx (pow (+ 1 (exp b)) -2) #s(hole binary64 (+ 1/4 (* b (- (* 1/16 b) 1/4)))))
#s(approx (pow (+ 1 (exp b)) -2) #s(hole binary64 (+ 1/4 (* b (- (* b (+ 1/16 (* 1/48 b))) 1/4)))))
#s(approx (/ 1 (+ (exp b) 1)) #s(hole binary64 1/2))
#s(approx (/ 1 (+ (exp b) 1)) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (/ 1 (+ (exp b) 1)) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (/ 1 (+ (exp b) 1)) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))))
#s(approx (+ (* b -1/4) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* b -1/4) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#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 (+ (* b (+ (* b 1/2) 1)) 2) #s(hole binary64 2))
#s(approx (+ (* b (+ (* b 1/2) 1)) 2) #s(hole binary64 (+ 2 b)))
#s(approx (+ (* b (+ (* b 1/2) 1)) 2) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#s(approx (+ (* b 1/2) 1) #s(hole binary64 1))
#s(approx (+ (* b 1/2) 1) #s(hole binary64 (+ 1 (* 1/2 b))))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) #s(hole binary64 (+ 1/2 (* 1/4 a))))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* 1/4 a)))))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) #s(hole binary64 (+ 1/2 (+ (* 1/4 a) (* b (- (* -1/16 (* a b)) 1/4))))))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) #s(hole binary64 (+ 1/2 (+ (* 1/4 a) (* b (- (* b (+ (* -1/16 a) (* 1/48 b))) 1/4))))))
#s(approx (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) #s(hole binary64 (* 1/4 a)))
#s(approx (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) #s(hole binary64 (+ (* -1/4 b) (* 1/4 a))))
#s(approx (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) #s(hole binary64 (+ (* 1/4 a) (* b (- (* -1/16 (* a b)) 1/4)))))
#s(approx (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) #s(hole binary64 (+ (* 1/4 a) (* b (- (* b (+ (* -1/16 a) (* 1/48 b))) 1/4)))))
#s(approx (- (* b (+ (* a -1/16) (* b 1/48))) 1/4) #s(hole binary64 -1/4))
#s(approx (- (* b (+ (* a -1/16) (* b 1/48))) 1/4) #s(hole binary64 (- (* -1/16 (* a b)) 1/4)))
#s(approx (- (* b (+ (* a -1/16) (* b 1/48))) 1/4) #s(hole binary64 (- (* b (+ (* -1/16 a) (* 1/48 b))) 1/4)))
#s(approx (* b (+ (* a -1/16) (* b 1/48))) #s(hole binary64 (* b (+ (* -1/16 a) (* 1/48 b)))))
#s(approx (* b 1/48) #s(hole binary64 (* 1/48 b)))
#s(approx (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) #s(hole binary64 (/ (+ 1 (/ 1 a)) (+ 1 (exp b)))))
#s(approx (+ 1 (exp b)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (pow (+ 1 (exp b)) -2) #s(hole binary64 (/ 1 (pow (+ 1 (exp b)) 2))))
#s(approx (/ 1 (+ (exp b) 1)) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (+ (* b -1/4) 1/2) #s(hole binary64 (* -1/4 b)))
#s(approx (+ (* b -1/4) 1/2) #s(hole binary64 (* b (- (* 1/2 (/ 1 b)) 1/4))))
#s(approx (+ (exp b) 1) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (* b (+ (* b 1/2) 1)) 2) #s(hole binary64 (* 1/2 (pow b 2))))
#s(approx (+ (* b (+ (* b 1/2) 1)) 2) #s(hole binary64 (* (pow b 2) (+ 1/2 (/ 1 b)))))
#s(approx (+ (* b (+ (* b 1/2) 1)) 2) #s(hole binary64 (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))))
#s(approx (+ (* b 1/2) 1) #s(hole binary64 (* 1/2 b)))
#s(approx (+ (* b 1/2) 1) #s(hole binary64 (* b (+ 1/2 (/ 1 b)))))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) #s(hole binary64 (* 1/48 (pow b 3))))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) #s(hole binary64 (* (pow b 3) (+ 1/48 (* -1/16 (/ a b))))))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) #s(hole binary64 (* (pow b 3) (- (+ 1/48 (* -1/16 (/ a b))) (/ 1/4 (pow b 2))))))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) #s(hole binary64 (* (pow b 3) (- (+ 1/48 (+ (* -1/16 (/ a b)) (+ (* 1/4 (/ a (pow b 3))) (* 1/2 (/ 1 (pow b 3)))))) (/ 1/4 (pow b 2))))))
#s(approx (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) #s(hole binary64 (* 1/48 (pow b 3))))
#s(approx (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) #s(hole binary64 (* (pow b 3) (+ 1/48 (* -1/16 (/ a b))))))
#s(approx (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) #s(hole binary64 (* (pow b 3) (- (+ 1/48 (* -1/16 (/ a b))) (/ 1/4 (pow b 2))))))
#s(approx (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) #s(hole binary64 (* (pow b 3) (- (+ 1/48 (+ (* -1/16 (/ a b)) (* 1/4 (/ a (pow b 3))))) (/ 1/4 (pow b 2))))))
#s(approx (- (* b (+ (* a -1/16) (* b 1/48))) 1/4) #s(hole binary64 (* 1/48 (pow b 2))))
#s(approx (- (* b (+ (* a -1/16) (* b 1/48))) 1/4) #s(hole binary64 (* (pow b 2) (+ 1/48 (* -1/16 (/ a b))))))
#s(approx (- (* b (+ (* a -1/16) (* b 1/48))) 1/4) #s(hole binary64 (* (pow b 2) (- (+ 1/48 (* -1/16 (/ a b))) (/ 1/4 (pow b 2))))))
#s(approx (* b (+ (* a -1/16) (* b 1/48))) #s(hole binary64 (* (pow b 2) (+ 1/48 (* -1/16 (/ a b))))))
#s(approx (+ (* a -1/16) (* b 1/48)) #s(hole binary64 (* b (+ 1/48 (* -1/16 (/ a b))))))
#s(approx (+ (* b -1/4) 1/2) #s(hole binary64 (* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) #s(hole binary64 (* -1 (* (pow b 3) (- (* 1/16 (/ a b)) 1/48)))))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) #s(hole binary64 (* -1 (* (pow b 3) (- (* -1 (/ (- (* -1/16 a) (* 1/4 (/ 1 b))) b)) 1/48)))))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) #s(hole binary64 (* -1 (* (pow b 3) (- (* -1 (/ (+ (* -1 (/ (+ 1/4 (* -1 (/ (+ 1/2 (* 1/4 a)) b))) b)) (* -1/16 a)) b)) 1/48)))))
#s(approx (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) #s(hole binary64 (* -1 (* (pow b 3) (- (* 1/16 (/ a b)) 1/48)))))
#s(approx (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) #s(hole binary64 (* -1 (* (pow b 3) (- (* -1 (/ (- (* -1/16 a) (* 1/4 (/ 1 b))) b)) 1/48)))))
#s(approx (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) #s(hole binary64 (* -1 (* (pow b 3) (- (* -1 (/ (+ (* -1 (/ (+ 1/4 (* -1/4 (/ a b))) b)) (* -1/16 a)) b)) 1/48)))))
#s(approx (- (* b (+ (* a -1/16) (* b 1/48))) 1/4) #s(hole binary64 (* (pow b 2) (+ 1/48 (* -1 (/ (+ (* 1/16 a) (* 1/4 (/ 1 b))) b))))))
#s(approx (+ (* a -1/16) (* b 1/48)) #s(hole binary64 (* -1 (* b (- (* 1/16 (/ a b)) 1/48)))))
Calls

6 calls:

TimeVariablePointExpression
7.0ms
a
@-inf
((/ (exp a) (+ (exp a) (exp b))) (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (* a (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2))) a (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (+ 1 (/ 1 a)) 1 (/ 1 a) (+ 1 (exp b)) (exp b) b (pow (+ 1 (exp b)) -2) -2 (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) 1/2 (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (* b -1/4) 1/2) -1/4 (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ (* b (+ (* b 1/2) 1)) 2) (+ (* b 1/2) 1) 2 (/ (exp a) (+ (exp a) (exp b))) (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) (- (* b (+ (* a -1/16) (* b 1/48))) 1/4) (* b (+ (* a -1/16) (* b 1/48))) (+ (* a -1/16) (* b 1/48)) -1/16 (* b 1/48) 1/48 1/4 (* a 1/4))
6.0ms
b
@0
((/ (exp a) (+ (exp a) (exp b))) (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (* a (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2))) a (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (+ 1 (/ 1 a)) 1 (/ 1 a) (+ 1 (exp b)) (exp b) b (pow (+ 1 (exp b)) -2) -2 (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) 1/2 (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (* b -1/4) 1/2) -1/4 (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ (* b (+ (* b 1/2) 1)) 2) (+ (* b 1/2) 1) 2 (/ (exp a) (+ (exp a) (exp b))) (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) (- (* b (+ (* a -1/16) (* b 1/48))) 1/4) (* b (+ (* a -1/16) (* b 1/48))) (+ (* a -1/16) (* b 1/48)) -1/16 (* b 1/48) 1/48 1/4 (* a 1/4))
5.0ms
b
@inf
((/ (exp a) (+ (exp a) (exp b))) (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (* a (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2))) a (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (+ 1 (/ 1 a)) 1 (/ 1 a) (+ 1 (exp b)) (exp b) b (pow (+ 1 (exp b)) -2) -2 (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) 1/2 (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (* b -1/4) 1/2) -1/4 (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ (* b (+ (* b 1/2) 1)) 2) (+ (* b 1/2) 1) 2 (/ (exp a) (+ (exp a) (exp b))) (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) (- (* b (+ (* a -1/16) (* b 1/48))) 1/4) (* b (+ (* a -1/16) (* b 1/48))) (+ (* a -1/16) (* b 1/48)) -1/16 (* b 1/48) 1/48 1/4 (* a 1/4))
5.0ms
b
@-inf
((/ (exp a) (+ (exp a) (exp b))) (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (* a (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2))) a (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (+ 1 (/ 1 a)) 1 (/ 1 a) (+ 1 (exp b)) (exp b) b (pow (+ 1 (exp b)) -2) -2 (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) 1/2 (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (* b -1/4) 1/2) -1/4 (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ (* b (+ (* b 1/2) 1)) 2) (+ (* b 1/2) 1) 2 (/ (exp a) (+ (exp a) (exp b))) (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) (- (* b (+ (* a -1/16) (* b 1/48))) 1/4) (* b (+ (* a -1/16) (* b 1/48))) (+ (* a -1/16) (* b 1/48)) -1/16 (* b 1/48) 1/48 1/4 (* a 1/4))
3.0ms
a
@0
((/ (exp a) (+ (exp a) (exp b))) (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (* a (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2))) a (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (+ 1 (/ 1 a)) 1 (/ 1 a) (+ 1 (exp b)) (exp b) b (pow (+ 1 (exp b)) -2) -2 (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) 1/2 (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (* b -1/4) 1/2) -1/4 (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ (* b (+ (* b 1/2) 1)) 2) (+ (* b 1/2) 1) 2 (/ (exp a) (+ (exp a) (exp b))) (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) (- (* b (+ (* a -1/16) (* b 1/48))) 1/4) (* b (+ (* a -1/16) (* b 1/48))) (+ (* a -1/16) (* b 1/48)) -1/16 (* b 1/48) 1/48 1/4 (* a 1/4))

rewrite871.0ms (13.9%)

Memory
-5.3MiB live, 276.5MiB allocated; 35ms collecting garbage
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
06784754
110054748
210124742
310194740
410264740
510304740
610344740
710374740
810414740
910434740
010434473
136024471
083084365
193904295
2112614247
3140244240
4164984238
5179824237
6187964234
7193534232
8198714232
9202744232
10204384232
11204744232
12204784232
Stop Event
saturated
node limit
saturated
Counts
192 → 341
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (*.f64 a (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a)) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))))))
#s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (*.f64 a (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a)) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))))
(*.f64 a (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a)) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))))
a
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a)) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a)) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) a)
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(exp.f64 b)
b
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))
#s(literal -2 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 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ 1 (+ (exp b) 1)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
#s(literal -1/4 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
#s(approx (+ (exp b) 1) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (+.f64 #s(literal 1/2 binary64) (fma.f64 b (-.f64 (*.f64 b (fma.f64 a #s(literal -1/16 binary64) (*.f64 b #s(literal 1/48 binary64)))) #s(literal 1/4 binary64)) (*.f64 a #s(literal 1/4 binary64))))))
#s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (+.f64 #s(literal 1/2 binary64) (fma.f64 b (-.f64 (*.f64 b (fma.f64 a #s(literal -1/16 binary64) (*.f64 b #s(literal 1/48 binary64)))) #s(literal 1/4 binary64)) (*.f64 a #s(literal 1/4 binary64)))))
(+.f64 #s(literal 1/2 binary64) (fma.f64 b (-.f64 (*.f64 b (fma.f64 a #s(literal -1/16 binary64) (*.f64 b #s(literal 1/48 binary64)))) #s(literal 1/4 binary64)) (*.f64 a #s(literal 1/4 binary64))))
(fma.f64 b (-.f64 (*.f64 b (fma.f64 a #s(literal -1/16 binary64) (*.f64 b #s(literal 1/48 binary64)))) #s(literal 1/4 binary64)) (*.f64 a #s(literal 1/4 binary64)))
(-.f64 (*.f64 b (fma.f64 a #s(literal -1/16 binary64) (*.f64 b #s(literal 1/48 binary64)))) #s(literal 1/4 binary64))
(*.f64 b (fma.f64 a #s(literal -1/16 binary64) (*.f64 b #s(literal 1/48 binary64))))
(fma.f64 a #s(literal -1/16 binary64) (*.f64 b #s(literal 1/48 binary64)))
#s(literal -1/16 binary64)
(*.f64 b #s(literal 1/48 binary64))
#s(literal 1/48 binary64)
#s(literal 1/4 binary64)
(*.f64 a #s(literal 1/4 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 (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (* a (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (* a (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2))) #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 (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) #s(hole binary64 (/ 1 (* a (+ 1 (exp b))))))
#s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) #s(hole binary64 (/ (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) a)))
#s(approx (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) #s(hole binary64 (/ 1 (* a (+ 1 (exp b))))))
#s(approx (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) #s(hole binary64 (/ (+ (/ 1 (+ 1 (exp b))) (/ a (+ 1 (exp b)))) a)))
#s(approx (+ 1 (/ 1 a)) #s(hole binary64 (/ 1 a)))
#s(approx (+ 1 (/ 1 a)) #s(hole binary64 (/ (+ 1 a) a)))
#s(approx (/ 1 a) #s(hole binary64 (/ 1 a)))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) #s(hole binary64 (+ 1/2 (+ (* a (+ 1/4 (* -1/16 (pow b 2)))) (* b (- (* 1/48 (pow b 2)) 1/4))))))
#s(approx (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) #s(hole binary64 (* b (- (* 1/48 (pow b 2)) 1/4))))
#s(approx (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) #s(hole binary64 (+ (* a (+ 1/4 (* -1/16 (pow b 2)))) (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (- (* b (+ (* a -1/16) (* b 1/48))) 1/4) #s(hole binary64 (- (* 1/48 (pow b 2)) 1/4)))
#s(approx (- (* b (+ (* a -1/16) (* b 1/48))) 1/4) #s(hole binary64 (- (+ (* -1/16 (* a b)) (* 1/48 (pow b 2))) 1/4)))
#s(approx (* b (+ (* a -1/16) (* b 1/48))) #s(hole binary64 (* 1/48 (pow b 2))))
#s(approx (* b (+ (* a -1/16) (* b 1/48))) #s(hole binary64 (+ (* -1/16 (* a b)) (* 1/48 (pow b 2)))))
#s(approx (+ (* a -1/16) (* b 1/48)) #s(hole binary64 (* 1/48 b)))
#s(approx (+ (* a -1/16) (* b 1/48)) #s(hole binary64 (+ (* -1/16 a) (* 1/48 b))))
#s(approx (* a 1/4) #s(hole binary64 (* 1/4 a)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ (exp a) (exp b)))))
#s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) #s(hole binary64 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))))
#s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) #s(hole binary64 (* a (- (+ (/ 1 (* a (+ 1 (exp b)))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2))))))
#s(approx (* a (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2))) #s(hole binary64 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))))
#s(approx (* a (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2))) #s(hole binary64 (* a (- (+ (/ 1 (* a (+ 1 (exp b)))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2))))))
#s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) #s(hole binary64 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))
#s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) #s(hole binary64 (- (+ (/ 1 (* a (+ 1 (exp b)))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))))
#s(approx (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) #s(hole binary64 (+ (/ 1 (* a (+ 1 (exp b)))) (/ 1 (+ 1 (exp b))))))
#s(approx (+ 1 (/ 1 a)) #s(hole binary64 1))
#s(approx (+ 1 (/ 1 a)) #s(hole binary64 (+ 1 (/ 1 a))))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) #s(hole binary64 (* a (+ 1/4 (* -1/16 (pow b 2))))))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) #s(hole binary64 (* a (+ 1/4 (+ (* -1/16 (pow b 2)) (+ (* 1/2 (/ 1 a)) (/ (* b (- (* 1/48 (pow b 2)) 1/4)) a)))))))
#s(approx (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) #s(hole binary64 (* a (+ 1/4 (* -1/16 (pow b 2))))))
#s(approx (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) #s(hole binary64 (* a (+ 1/4 (+ (* -1/16 (pow b 2)) (/ (* b (- (* 1/48 (pow b 2)) 1/4)) a))))))
#s(approx (- (* b (+ (* a -1/16) (* b 1/48))) 1/4) #s(hole binary64 (* -1/16 (* a b))))
#s(approx (- (* b (+ (* a -1/16) (* b 1/48))) 1/4) #s(hole binary64 (* a (- (+ (* -1/16 b) (* 1/48 (/ (pow b 2) a))) (* 1/4 (/ 1 a))))))
#s(approx (* b (+ (* a -1/16) (* b 1/48))) #s(hole binary64 (* -1/16 (* a b))))
#s(approx (* b (+ (* a -1/16) (* b 1/48))) #s(hole binary64 (* a (+ (* -1/16 b) (* 1/48 (/ (pow b 2) a))))))
#s(approx (+ (* a -1/16) (* b 1/48)) #s(hole binary64 (* -1/16 a)))
#s(approx (+ (* a -1/16) (* b 1/48)) #s(hole binary64 (* a (- (* 1/48 (/ b a)) 1/16))))
#s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) #s(hole binary64 (* -1 (* a (- (* -1 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (* a (+ 1 (exp b)))))))))
#s(approx (* a (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2))) #s(hole binary64 (* -1 (* a (- (* -1 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (* a (+ 1 (exp b)))))))))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) #s(hole binary64 (* -1 (* a (- (* 1/16 (pow b 2)) 1/4)))))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) #s(hole binary64 (* -1 (* a (- (+ (* -1 (/ (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4))) a)) (* 1/16 (pow b 2))) 1/4)))))
#s(approx (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) #s(hole binary64 (* -1 (* a (- (* 1/16 (pow b 2)) 1/4)))))
#s(approx (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) #s(hole binary64 (* -1 (* a (- (+ (* -1 (/ (* b (- (* 1/48 (pow b 2)) 1/4)) a)) (* 1/16 (pow b 2))) 1/4)))))
#s(approx (- (* b (+ (* a -1/16) (* b 1/48))) 1/4) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* 1/48 (pow b 2)) 1/4) a)) (* 1/16 b))))))
#s(approx (* b (+ (* a -1/16) (* b 1/48))) #s(hole binary64 (* -1 (* a (+ (* -1/48 (/ (pow b 2) a)) (* 1/16 b))))))
#s(approx (+ (* a -1/16) (* b 1/48)) #s(hole binary64 (* -1 (* a (+ 1/16 (* -1/48 (/ 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 (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) #s(hole binary64 (+ 1/2 (* 1/4 a))))
#s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* 1/4 a)))))
#s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) #s(hole binary64 (+ 1/2 (+ (* 1/4 a) (* b (- (* -1/16 (* a b)) 1/4))))))
#s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) #s(hole binary64 (+ 1/2 (+ (* 1/4 a) (* b (- (* b (+ (* -1/16 a) (* 1/48 b))) 1/4))))))
#s(approx (* a (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2))) #s(hole binary64 (* a (+ 1/4 (* 1/2 (/ 1 a))))))
#s(approx (* a (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2))) #s(hole binary64 (+ (* -1/4 b) (* a (+ 1/4 (* 1/2 (/ 1 a)))))))
#s(approx (* a (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2))) #s(hole binary64 (+ (* a (+ 1/4 (* 1/2 (/ 1 a)))) (* b (- (* -1/16 (* a b)) 1/4)))))
#s(approx (* a (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2))) #s(hole binary64 (+ (* a (+ 1/4 (* 1/2 (/ 1 a)))) (* b (- (* b (+ (* -1/16 a) (* 1/48 b))) 1/4)))))
#s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) #s(hole binary64 (+ 1/4 (* 1/2 (/ 1 a)))))
#s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) #s(hole binary64 (+ 1/4 (+ (* -1/4 (/ b a)) (* 1/2 (/ 1 a))))))
#s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) #s(hole binary64 (+ 1/4 (+ (* 1/2 (/ 1 a)) (* b (- (* -1/16 b) (* 1/4 (/ 1 a))))))))
#s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) #s(hole binary64 (+ 1/4 (+ (* 1/2 (/ 1 a)) (* b (- (* b (- (* 1/48 (/ b a)) 1/16)) (* 1/4 (/ 1 a))))))))
#s(approx (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) #s(hole binary64 (* 1/2 (+ 1 (/ 1 a)))))
#s(approx (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) #s(hole binary64 (+ (* -1/4 (* b (+ 1 (/ 1 a)))) (* 1/2 (+ 1 (/ 1 a))))))
#s(approx (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) #s(hole binary64 (+ (* 1/2 (+ 1 (/ 1 a))) (* b (- (* -1 (* b (+ (* -1/8 (+ 1 (/ 1 a))) (* 1/8 (+ 1 (/ 1 a)))))) (* 1/4 (+ 1 (/ 1 a))))))))
#s(approx (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) #s(hole binary64 (+ (* 1/2 (+ 1 (/ 1 a))) (* b (- (* b (- (* -1 (* b (+ (* -1/2 (+ (* -1/8 (+ 1 (/ 1 a))) (* 1/8 (+ 1 (/ 1 a))))) (+ (* -1/16 (+ 1 (/ 1 a))) (* 1/24 (+ 1 (/ 1 a))))))) (+ (* -1/8 (+ 1 (/ 1 a))) (* 1/8 (+ 1 (/ 1 a)))))) (* 1/4 (+ 1 (/ 1 a))))))))
#s(approx (+ 1 (exp b)) #s(hole binary64 2))
#s(approx (+ 1 (exp b)) #s(hole binary64 (+ 2 b)))
#s(approx (+ 1 (exp b)) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#s(approx (+ 1 (exp b)) #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 (+ 1 (exp b)) -2) #s(hole binary64 1/4))
#s(approx (pow (+ 1 (exp b)) -2) #s(hole binary64 (+ 1/4 (* -1/4 b))))
#s(approx (pow (+ 1 (exp b)) -2) #s(hole binary64 (+ 1/4 (* b (- (* 1/16 b) 1/4)))))
#s(approx (pow (+ 1 (exp b)) -2) #s(hole binary64 (+ 1/4 (* b (- (* b (+ 1/16 (* 1/48 b))) 1/4)))))
#s(approx (/ 1 (+ (exp b) 1)) #s(hole binary64 1/2))
#s(approx (/ 1 (+ (exp b) 1)) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (/ 1 (+ (exp b) 1)) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (/ 1 (+ (exp b) 1)) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))))
#s(approx (+ (* b -1/4) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* b -1/4) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#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 (+ (* b (+ (* b 1/2) 1)) 2) #s(hole binary64 2))
#s(approx (+ (* b (+ (* b 1/2) 1)) 2) #s(hole binary64 (+ 2 b)))
#s(approx (+ (* b (+ (* b 1/2) 1)) 2) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#s(approx (+ (* b 1/2) 1) #s(hole binary64 1))
#s(approx (+ (* b 1/2) 1) #s(hole binary64 (+ 1 (* 1/2 b))))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) #s(hole binary64 (+ 1/2 (* 1/4 a))))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* 1/4 a)))))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) #s(hole binary64 (+ 1/2 (+ (* 1/4 a) (* b (- (* -1/16 (* a b)) 1/4))))))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) #s(hole binary64 (+ 1/2 (+ (* 1/4 a) (* b (- (* b (+ (* -1/16 a) (* 1/48 b))) 1/4))))))
#s(approx (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) #s(hole binary64 (* 1/4 a)))
#s(approx (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) #s(hole binary64 (+ (* -1/4 b) (* 1/4 a))))
#s(approx (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) #s(hole binary64 (+ (* 1/4 a) (* b (- (* -1/16 (* a b)) 1/4)))))
#s(approx (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) #s(hole binary64 (+ (* 1/4 a) (* b (- (* b (+ (* -1/16 a) (* 1/48 b))) 1/4)))))
#s(approx (- (* b (+ (* a -1/16) (* b 1/48))) 1/4) #s(hole binary64 -1/4))
#s(approx (- (* b (+ (* a -1/16) (* b 1/48))) 1/4) #s(hole binary64 (- (* -1/16 (* a b)) 1/4)))
#s(approx (- (* b (+ (* a -1/16) (* b 1/48))) 1/4) #s(hole binary64 (- (* b (+ (* -1/16 a) (* 1/48 b))) 1/4)))
#s(approx (* b (+ (* a -1/16) (* b 1/48))) #s(hole binary64 (* b (+ (* -1/16 a) (* 1/48 b)))))
#s(approx (* b 1/48) #s(hole binary64 (* 1/48 b)))
#s(approx (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) #s(hole binary64 (/ (+ 1 (/ 1 a)) (+ 1 (exp b)))))
#s(approx (+ 1 (exp b)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (pow (+ 1 (exp b)) -2) #s(hole binary64 (/ 1 (pow (+ 1 (exp b)) 2))))
#s(approx (/ 1 (+ (exp b) 1)) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (+ (* b -1/4) 1/2) #s(hole binary64 (* -1/4 b)))
#s(approx (+ (* b -1/4) 1/2) #s(hole binary64 (* b (- (* 1/2 (/ 1 b)) 1/4))))
#s(approx (+ (exp b) 1) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (* b (+ (* b 1/2) 1)) 2) #s(hole binary64 (* 1/2 (pow b 2))))
#s(approx (+ (* b (+ (* b 1/2) 1)) 2) #s(hole binary64 (* (pow b 2) (+ 1/2 (/ 1 b)))))
#s(approx (+ (* b (+ (* b 1/2) 1)) 2) #s(hole binary64 (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))))
#s(approx (+ (* b 1/2) 1) #s(hole binary64 (* 1/2 b)))
#s(approx (+ (* b 1/2) 1) #s(hole binary64 (* b (+ 1/2 (/ 1 b)))))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) #s(hole binary64 (* 1/48 (pow b 3))))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) #s(hole binary64 (* (pow b 3) (+ 1/48 (* -1/16 (/ a b))))))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) #s(hole binary64 (* (pow b 3) (- (+ 1/48 (* -1/16 (/ a b))) (/ 1/4 (pow b 2))))))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) #s(hole binary64 (* (pow b 3) (- (+ 1/48 (+ (* -1/16 (/ a b)) (+ (* 1/4 (/ a (pow b 3))) (* 1/2 (/ 1 (pow b 3)))))) (/ 1/4 (pow b 2))))))
#s(approx (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) #s(hole binary64 (* 1/48 (pow b 3))))
#s(approx (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) #s(hole binary64 (* (pow b 3) (+ 1/48 (* -1/16 (/ a b))))))
#s(approx (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) #s(hole binary64 (* (pow b 3) (- (+ 1/48 (* -1/16 (/ a b))) (/ 1/4 (pow b 2))))))
#s(approx (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) #s(hole binary64 (* (pow b 3) (- (+ 1/48 (+ (* -1/16 (/ a b)) (* 1/4 (/ a (pow b 3))))) (/ 1/4 (pow b 2))))))
#s(approx (- (* b (+ (* a -1/16) (* b 1/48))) 1/4) #s(hole binary64 (* 1/48 (pow b 2))))
#s(approx (- (* b (+ (* a -1/16) (* b 1/48))) 1/4) #s(hole binary64 (* (pow b 2) (+ 1/48 (* -1/16 (/ a b))))))
#s(approx (- (* b (+ (* a -1/16) (* b 1/48))) 1/4) #s(hole binary64 (* (pow b 2) (- (+ 1/48 (* -1/16 (/ a b))) (/ 1/4 (pow b 2))))))
#s(approx (* b (+ (* a -1/16) (* b 1/48))) #s(hole binary64 (* (pow b 2) (+ 1/48 (* -1/16 (/ a b))))))
#s(approx (+ (* a -1/16) (* b 1/48)) #s(hole binary64 (* b (+ 1/48 (* -1/16 (/ a b))))))
#s(approx (+ (* b -1/4) 1/2) #s(hole binary64 (* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) #s(hole binary64 (* -1 (* (pow b 3) (- (* 1/16 (/ a b)) 1/48)))))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) #s(hole binary64 (* -1 (* (pow b 3) (- (* -1 (/ (- (* -1/16 a) (* 1/4 (/ 1 b))) b)) 1/48)))))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) #s(hole binary64 (* -1 (* (pow b 3) (- (* -1 (/ (+ (* -1 (/ (+ 1/4 (* -1 (/ (+ 1/2 (* 1/4 a)) b))) b)) (* -1/16 a)) b)) 1/48)))))
#s(approx (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) #s(hole binary64 (* -1 (* (pow b 3) (- (* 1/16 (/ a b)) 1/48)))))
#s(approx (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) #s(hole binary64 (* -1 (* (pow b 3) (- (* -1 (/ (- (* -1/16 a) (* 1/4 (/ 1 b))) b)) 1/48)))))
#s(approx (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) #s(hole binary64 (* -1 (* (pow b 3) (- (* -1 (/ (+ (* -1 (/ (+ 1/4 (* -1/4 (/ a b))) b)) (* -1/16 a)) b)) 1/48)))))
#s(approx (- (* b (+ (* a -1/16) (* b 1/48))) 1/4) #s(hole binary64 (* (pow b 2) (+ 1/48 (* -1 (/ (+ (* 1/16 a) (* 1/4 (/ 1 b))) b))))))
#s(approx (+ (* a -1/16) (* b 1/48)) #s(hole binary64 (* -1 (* b (- (* 1/16 (/ a b)) 1/48)))))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (*.f64 a (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a)) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))))))
#s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (*.f64 a (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a)) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))))
(*.f64 a (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a)) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))))
(*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a)) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) a)
a
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(+.f64 (*.f64 b (*.f64 a #s(literal -1/16 binary64))) (*.f64 b (*.f64 b #s(literal 1/48 binary64))))
(fma.f64 b (*.f64 a #s(literal -1/16 binary64)) (*.f64 b (*.f64 b #s(literal 1/48 binary64))))
(fma.f64 #s(literal -1/16 binary64) (*.f64 a b) (*.f64 (*.f64 b #s(literal 1/48 binary64)) b))
(fma.f64 (*.f64 a #s(literal -1/16 binary64)) b (*.f64 (*.f64 b #s(literal 1/48 binary64)) b))
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(*.f64 (fma.f64 a #s(literal -1/16 binary64) (*.f64 b #s(literal 1/48 binary64))) b)
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(fma.f64 a #s(literal -1/16 binary64) (*.f64 b #s(literal 1/48 binary64)))
(fma.f64 b #s(literal 1/48 binary64) (*.f64 a #s(literal -1/16 binary64)))
(fma.f64 #s(literal -1/16 binary64) a (*.f64 b #s(literal 1/48 binary64)))
(fma.f64 #s(literal 1/48 binary64) b (*.f64 a #s(literal -1/16 binary64)))
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#s(literal -1/16 binary64)
(*.f64 b #s(literal 1/48 binary64))
(*.f64 #s(literal 1/48 binary64) b)
#s(literal 1/48 binary64)
#s(literal 1/4 binary64)
(*.f64 a #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) a)
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#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 b (-.f64 (neg.f64 (*.f64 b (fma.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 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))))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
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#s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
#s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (+.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -1/4 binary64) (*.f64 a #s(literal 1/4 binary64)))))
#s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (+.f64 #s(literal 1/2 binary64) (fma.f64 b (-.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 a b)) #s(literal 1/4 binary64)) (*.f64 a #s(literal 1/4 binary64)))))
#s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (+.f64 #s(literal 1/2 binary64) (fma.f64 b (-.f64 (*.f64 b (fma.f64 a #s(literal -1/16 binary64) (*.f64 b #s(literal 1/48 binary64)))) #s(literal 1/4 binary64)) (*.f64 a #s(literal 1/4 binary64)))))
#s(approx (* a (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2))) (*.f64 a (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a))))
#s(approx (* a (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2))) (fma.f64 a (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 b #s(literal -1/4 binary64))))
#s(approx (* a (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2))) (fma.f64 b (-.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 a b)) #s(literal 1/4 binary64)) (*.f64 a (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)))))
#s(approx (* a (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2))) (fma.f64 b (-.f64 (*.f64 b (fma.f64 a #s(literal -1/16 binary64) (*.f64 b #s(literal 1/48 binary64)))) #s(literal 1/4 binary64)) (*.f64 a (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)))))
#s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)))
#s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 b a) (/.f64 #s(literal 1/2 binary64) a))))
#s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) (+.f64 #s(literal 1/4 binary64) (fma.f64 b (-.f64 (*.f64 b #s(literal -1/16 binary64)) (/.f64 #s(literal 1/4 binary64) a)) (/.f64 #s(literal 1/2 binary64) a))))
#s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) (+.f64 #s(literal 1/4 binary64) (fma.f64 b (-.f64 (*.f64 b (-.f64 (/.f64 (*.f64 b #s(literal 1/48 binary64)) a) #s(literal 1/16 binary64))) (/.f64 #s(literal 1/4 binary64) a)) (/.f64 #s(literal 1/2 binary64) a))))
#s(approx (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) a)))
#s(approx (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (fma.f64 (*.f64 b #s(literal -1/4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) a))))
#s(approx (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (fma.f64 b (-.f64 (neg.f64 (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a)) #s(literal 0 binary64)))) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) a))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) a))))
#s(approx (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (fma.f64 b (-.f64 (*.f64 b (-.f64 (neg.f64 (*.f64 b (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a)) #s(literal -1/48 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a)) #s(literal 0 binary64)))))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a)) #s(literal 0 binary64)))) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) a))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) a))))
#s(approx (+ 1 (exp b)) #s(literal 2 binary64))
#s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))
#s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
#s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 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 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (exp b) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx b b)
#s(approx (pow (+ 1 (exp b)) -2) #s(literal 1/4 binary64))
#s(approx (pow (+ 1 (exp b)) -2) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/4 binary64)))
#s(approx (pow (+ 1 (exp b)) -2) (fma.f64 b (-.f64 (*.f64 b #s(literal 1/16 binary64)) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)))
#s(approx (pow (+ 1 (exp b)) -2) (fma.f64 b (-.f64 (*.f64 b (fma.f64 b #s(literal 1/48 binary64) #s(literal 1/16 binary64))) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)))
#s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))
#s(approx (/ 1 (+ (exp b) 1)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
#s(approx (/ 1 (+ (exp b) 1)) (fma.f64 b (-.f64 (*.f64 #s(literal 1/48 binary64) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
#s(approx (/ 1 (+ (exp b) 1)) (fma.f64 b (-.f64 (*.f64 (pow.f64 b #s(literal 2 binary64)) (fma.f64 (pow.f64 b #s(literal 2 binary64)) #s(literal -1/480 binary64) #s(literal 1/48 binary64))) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
#s(approx (+ (* b -1/4) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* b -1/4) 1/2) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
#s(approx (+ 1 (exp b)) #s(literal 2 binary64))
#s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))
#s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
#s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
#s(approx (+ (* b (+ (* b 1/2) 1)) 2) #s(literal 2 binary64))
#s(approx (+ (* b (+ (* b 1/2) 1)) 2) (+.f64 b #s(literal 2 binary64)))
#s(approx (+ (* b (+ (* b 1/2) 1)) 2) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
#s(approx (+ (* b 1/2) 1) #s(literal 1 binary64))
#s(approx (+ (* b 1/2) 1) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) (+.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -1/4 binary64) (*.f64 a #s(literal 1/4 binary64)))))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) (+.f64 #s(literal 1/2 binary64) (fma.f64 b (-.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 a b)) #s(literal 1/4 binary64)) (*.f64 a #s(literal 1/4 binary64)))))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) (+.f64 #s(literal 1/2 binary64) (fma.f64 b (-.f64 (*.f64 b (fma.f64 a #s(literal -1/16 binary64) (*.f64 b #s(literal 1/48 binary64)))) #s(literal 1/4 binary64)) (*.f64 a #s(literal 1/4 binary64)))))
#s(approx (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) (*.f64 a #s(literal 1/4 binary64)))
#s(approx (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) (fma.f64 b #s(literal -1/4 binary64) (*.f64 a #s(literal 1/4 binary64))))
#s(approx (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) (fma.f64 b (-.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 a b)) #s(literal 1/4 binary64)) (*.f64 a #s(literal 1/4 binary64))))
#s(approx (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) (fma.f64 b (-.f64 (*.f64 b (fma.f64 a #s(literal -1/16 binary64) (*.f64 b #s(literal 1/48 binary64)))) #s(literal 1/4 binary64)) (*.f64 a #s(literal 1/4 binary64))))
#s(approx (- (* b (+ (* a -1/16) (* b 1/48))) 1/4) #s(literal -1/4 binary64))
#s(approx (- (* b (+ (* a -1/16) (* b 1/48))) 1/4) (-.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 a b)) #s(literal 1/4 binary64)))
#s(approx (- (* b (+ (* a -1/16) (* b 1/48))) 1/4) (-.f64 (*.f64 b (fma.f64 a #s(literal -1/16 binary64) (*.f64 b #s(literal 1/48 binary64)))) #s(literal 1/4 binary64)))
#s(approx (* b (+ (* a -1/16) (* b 1/48))) (*.f64 b (fma.f64 a #s(literal -1/16 binary64) (*.f64 b #s(literal 1/48 binary64)))))
#s(approx (* b 1/48) (*.f64 b #s(literal 1/48 binary64)))
#s(approx (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a)) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
#s(approx (+ 1 (exp b)) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
#s(approx (exp b) (exp.f64 b))
#s(approx (pow (+ 1 (exp b)) -2) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))
#s(approx (/ 1 (+ (exp b) 1)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
#s(approx (+ (* b -1/4) 1/2) (*.f64 b #s(literal -1/4 binary64)))
#s(approx (+ (* b -1/4) 1/2) (*.f64 b (-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/4 binary64))))
#s(approx (+ 1 (exp b)) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
#s(approx (+ (* b (+ (* b 1/2) 1)) 2) (*.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 2 binary64))))
#s(approx (+ (* b (+ (* b 1/2) 1)) 2) (fma.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 2 binary64)) b))
#s(approx (+ (* b (+ (* b 1/2) 1)) 2) (*.f64 (pow.f64 b #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 2 binary64) (pow.f64 b #s(literal 2 binary64)))))))
#s(approx (+ (* b 1/2) 1) (*.f64 b #s(literal 1/2 binary64)))
#s(approx (+ (* b 1/2) 1) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) (*.f64 #s(literal 1/48 binary64) (pow.f64 b #s(literal 3 binary64))))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) (*.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 #s(literal -1/16 binary64) (/.f64 a b) #s(literal 1/48 binary64))))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) (*.f64 (pow.f64 b #s(literal 3 binary64)) (-.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 a b) #s(literal 1/48 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 b #s(literal 2 binary64))))))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) (*.f64 (pow.f64 b #s(literal 3 binary64)) (-.f64 (+.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 a b) #s(literal 1/48 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal -3 binary64)) (/.f64 (*.f64 a #s(literal 1/4 binary64)) (pow.f64 b #s(literal 3 binary64))))) (/.f64 #s(literal 1/4 binary64) (pow.f64 b #s(literal 2 binary64))))))
#s(approx (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) (*.f64 #s(literal 1/48 binary64) (pow.f64 b #s(literal 3 binary64))))
#s(approx (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) (*.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 #s(literal -1/16 binary64) (/.f64 a b) #s(literal 1/48 binary64))))
#s(approx (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) (*.f64 (pow.f64 b #s(literal 3 binary64)) (-.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 a b) #s(literal 1/48 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 b #s(literal 2 binary64))))))
#s(approx (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) (*.f64 (pow.f64 b #s(literal 3 binary64)) (-.f64 (+.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 a b) #s(literal 1/48 binary64)) (/.f64 (*.f64 a #s(literal 1/4 binary64)) (pow.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1/4 binary64) (pow.f64 b #s(literal 2 binary64))))))
#s(approx (- (* b (+ (* a -1/16) (* b 1/48))) 1/4) (*.f64 #s(literal 1/48 binary64) (pow.f64 b #s(literal 2 binary64))))
#s(approx (- (* b (+ (* a -1/16) (* b 1/48))) 1/4) (*.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 a b) #s(literal 1/48 binary64)) (pow.f64 b #s(literal 2 binary64))))
#s(approx (- (* b (+ (* a -1/16) (* b 1/48))) 1/4) (*.f64 (-.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 a b) #s(literal 1/48 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 b #s(literal 2 binary64)))) (pow.f64 b #s(literal 2 binary64))))
#s(approx (* b (+ (* a -1/16) (* b 1/48))) (*.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 a b) #s(literal 1/48 binary64)) (pow.f64 b #s(literal 2 binary64))))
#s(approx (+ (* a -1/16) (* b 1/48)) (*.f64 b (fma.f64 #s(literal -1/16 binary64) (/.f64 a b) #s(literal 1/48 binary64))))
#s(approx (+ (* b -1/4) 1/2) (neg.f64 (*.f64 b (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) b)))))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) (neg.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 a b)) #s(literal 1/48 binary64)))))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) (neg.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) (-.f64 (neg.f64 (/.f64 (-.f64 (*.f64 a #s(literal -1/16 binary64)) (/.f64 #s(literal 1/4 binary64) b)) b)) #s(literal 1/48 binary64)))))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) (neg.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) (-.f64 (neg.f64 (/.f64 (fma.f64 a #s(literal -1/16 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) b) #s(literal 1/4 binary64)) b))) b)) #s(literal 1/48 binary64)))))
#s(approx (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) (neg.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 a b)) #s(literal 1/48 binary64)))))
#s(approx (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) (neg.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) (-.f64 (neg.f64 (/.f64 (-.f64 (*.f64 a #s(literal -1/16 binary64)) (/.f64 #s(literal 1/4 binary64) b)) b)) #s(literal 1/48 binary64)))))
#s(approx (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) (neg.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) (-.f64 (neg.f64 (/.f64 (fma.f64 a #s(literal -1/16 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 a b) #s(literal 1/4 binary64)) b))) b)) #s(literal 1/48 binary64)))))
#s(approx (- (* b (+ (* a -1/16) (* b 1/48))) 1/4) (*.f64 (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 a #s(literal 1/16 binary64) (/.f64 #s(literal 1/4 binary64) b)) b) #s(literal 1/48 binary64))))
#s(approx (+ (* a -1/16) (* b 1/48)) (neg.f64 (*.f64 b (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 a b)) #s(literal 1/48 binary64)))))

eval52.0ms (0.8%)

Memory
1.6MiB live, 98.4MiB allocated; 14ms collecting garbage
Compiler

Compiled 20 143 to 2 087 computations (89.6% saved)

prune21.0ms (0.3%)

Memory
3.8MiB live, 50.6MiB allocated; 3ms collecting garbage
Pruning

18 alts after pruning (13 fresh and 5 done)

PrunedKeptTotal
New3708378
Fresh055
Picked235
Done022
Total37218390
Accuracy
99.7%
Counts
390 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.4%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
61.9%
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
61.5%
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
87.1%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
52.5%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
48.3%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
47.7%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 b #s(approx (+ (* b 1/2) 1) (*.f64 b #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
34.7%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 b #s(literal 2 binary64)))))
34.7%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
34.6%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* b -1/4) 1/2) (*.f64 b (-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/4 binary64))))))
4.0%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* b -1/4) 1/2) (*.f64 b #s(literal -1/4 binary64)))))
37.5%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
37.5%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
33.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (+.f64 #s(literal 1/2 binary64) (fma.f64 b (-.f64 (*.f64 b #s(approx (+ (* a -1/16) (* b 1/48)) (*.f64 b #s(literal 1/48 binary64)))) #s(literal 1/4 binary64)) (*.f64 a #s(literal 1/4 binary64))))))
86.9%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (*.f64 a #s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) (/.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))))))))
2.9%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) #s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) (*.f64 a (fma.f64 #s(literal -1/16 binary64) (pow.f64 b #s(literal 2 binary64)) #s(literal 1/4 binary64))))))
9.0%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) #s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) (*.f64 #s(literal 1/48 binary64) (pow.f64 b #s(literal 3 binary64))))))
34.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) #s(approx (* a (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2))) (fma.f64 a (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 b #s(literal -1/4 binary64))))))
Compiler

Compiled 1 063 to 653 computations (38.6% saved)

series29.0ms (0.5%)

Memory
5.2MiB live, 51.7MiB allocated; 5ms collecting garbage
Counts
42 → 150
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (*.f64 a #s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) (/.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))))))))
#s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (*.f64 a #s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) (/.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b)))))))
(*.f64 a #s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) (/.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))))))
a
#s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) (/.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(/.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))))
#s(literal 1 binary64)
(*.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(exp.f64 b)
b
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* b -1/4) 1/2) (*.f64 b #s(literal -1/4 binary64)))))
#s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* b -1/4) 1/2) (*.f64 b #s(literal -1/4 binary64))))
#s(approx (+ (* b -1/4) 1/2) (*.f64 b #s(literal -1/4 binary64)))
(*.f64 b #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* b -1/4) 1/2) (*.f64 b (-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/4 binary64))))))
#s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* b -1/4) 1/2) (*.f64 b (-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/4 binary64)))))
#s(approx (+ (* b -1/4) 1/2) (*.f64 b (-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/4 binary64))))
(*.f64 b (-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/4 binary64)))
(-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/4 binary64))
(/.f64 #s(literal 1/2 binary64) b)
#s(literal 1/2 binary64)
#s(literal 1/4 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (+.f64 #s(literal 1/2 binary64) (fma.f64 b (-.f64 (*.f64 b #s(approx (+ (* a -1/16) (* b 1/48)) (*.f64 b #s(literal 1/48 binary64)))) #s(literal 1/4 binary64)) (*.f64 a #s(literal 1/4 binary64))))))
#s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (+.f64 #s(literal 1/2 binary64) (fma.f64 b (-.f64 (*.f64 b #s(approx (+ (* a -1/16) (* b 1/48)) (*.f64 b #s(literal 1/48 binary64)))) #s(literal 1/4 binary64)) (*.f64 a #s(literal 1/4 binary64)))))
(+.f64 #s(literal 1/2 binary64) (fma.f64 b (-.f64 (*.f64 b #s(approx (+ (* a -1/16) (* b 1/48)) (*.f64 b #s(literal 1/48 binary64)))) #s(literal 1/4 binary64)) (*.f64 a #s(literal 1/4 binary64))))
(fma.f64 b (-.f64 (*.f64 b #s(approx (+ (* a -1/16) (* b 1/48)) (*.f64 b #s(literal 1/48 binary64)))) #s(literal 1/4 binary64)) (*.f64 a #s(literal 1/4 binary64)))
(-.f64 (*.f64 b #s(approx (+ (* a -1/16) (* b 1/48)) (*.f64 b #s(literal 1/48 binary64)))) #s(literal 1/4 binary64))
(*.f64 b #s(approx (+ (* a -1/16) (* b 1/48)) (*.f64 b #s(literal 1/48 binary64))))
#s(approx (+ (* a -1/16) (* b 1/48)) (*.f64 b #s(literal 1/48 binary64)))
(*.f64 b #s(literal 1/48 binary64))
#s(literal 1/48 binary64)
(*.f64 a #s(literal 1/4 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) #s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) (*.f64 a (fma.f64 #s(literal -1/16 binary64) (pow.f64 b #s(literal 2 binary64)) #s(literal 1/4 binary64))))))
#s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) #s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) (*.f64 a (fma.f64 #s(literal -1/16 binary64) (pow.f64 b #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) (*.f64 a (fma.f64 #s(literal -1/16 binary64) (pow.f64 b #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(*.f64 a (fma.f64 #s(literal -1/16 binary64) (pow.f64 b #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fma.f64 #s(literal -1/16 binary64) (pow.f64 b #s(literal 2 binary64)) #s(literal 1/4 binary64))
#s(literal -1/16 binary64)
(pow.f64 b #s(literal 2 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 (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (* a (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (* a (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2))) #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 (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) #s(hole binary64 (/ 1 (* a (+ 1 (exp b))))))
#s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) #s(hole binary64 (/ (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) a)))
#s(approx (/ 1 (* a (+ 1 (exp b)))) #s(hole binary64 (/ 1 (* a (+ 1 (exp b))))))
#s(approx (* a (+ 1 (exp b))) #s(hole binary64 (* a (+ 1 (exp b)))))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) #s(hole binary64 (+ 1/2 (+ (* a (+ 1/4 (* -1/16 (pow b 2)))) (* b (- (* 1/48 (pow b 2)) 1/4))))))
#s(approx (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) #s(hole binary64 (* b (- (* 1/48 (pow b 2)) 1/4))))
#s(approx (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) #s(hole binary64 (+ (* a (+ 1/4 (* -1/16 (pow b 2)))) (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (- (* b (+ (* a -1/16) (* b 1/48))) 1/4) #s(hole binary64 (- (* 1/48 (pow b 2)) 1/4)))
#s(approx (- (* b (+ (* a -1/16) (* b 1/48))) 1/4) #s(hole binary64 (- (+ (* -1/16 (* a b)) (* 1/48 (pow b 2))) 1/4)))
#s(approx (* b (+ (* a -1/16) (* b 1/48))) #s(hole binary64 (* 1/48 (pow b 2))))
#s(approx (* b (+ (* a -1/16) (* b 1/48))) #s(hole binary64 (+ (* -1/16 (* a b)) (* 1/48 (pow b 2)))))
#s(approx (+ (* a -1/16) (* b 1/48)) #s(hole binary64 (* 1/48 b)))
#s(approx (+ (* a -1/16) (* b 1/48)) #s(hole binary64 (+ (* -1/16 a) (* 1/48 b))))
#s(approx (* a 1/4) #s(hole binary64 (* 1/4 a)))
#s(approx (* a (+ (* -1/16 (pow b 2)) 1/4)) #s(hole binary64 (* a (+ 1/4 (* -1/16 (pow b 2))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ (exp a) (exp b)))))
#s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) #s(hole binary64 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))))
#s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) #s(hole binary64 (* a (- (+ (/ 1 (* a (+ 1 (exp b)))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2))))))
#s(approx (* a (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2))) #s(hole binary64 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))))
#s(approx (* a (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2))) #s(hole binary64 (* a (- (+ (/ 1 (* a (+ 1 (exp b)))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2))))))
#s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) #s(hole binary64 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))
#s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) #s(hole binary64 (- (+ (/ 1 (* a (+ 1 (exp b)))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) #s(hole binary64 (* a (+ 1/4 (* -1/16 (pow b 2))))))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) #s(hole binary64 (* a (+ 1/4 (+ (* -1/16 (pow b 2)) (+ (* 1/2 (/ 1 a)) (/ (* b (- (* 1/48 (pow b 2)) 1/4)) a)))))))
#s(approx (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) #s(hole binary64 (* a (+ 1/4 (* -1/16 (pow b 2))))))
#s(approx (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) #s(hole binary64 (* a (+ 1/4 (+ (* -1/16 (pow b 2)) (/ (* b (- (* 1/48 (pow b 2)) 1/4)) a))))))
#s(approx (- (* b (+ (* a -1/16) (* b 1/48))) 1/4) #s(hole binary64 (* -1/16 (* a b))))
#s(approx (- (* b (+ (* a -1/16) (* b 1/48))) 1/4) #s(hole binary64 (* a (- (+ (* -1/16 b) (* 1/48 (/ (pow b 2) a))) (* 1/4 (/ 1 a))))))
#s(approx (* b (+ (* a -1/16) (* b 1/48))) #s(hole binary64 (* -1/16 (* a b))))
#s(approx (* b (+ (* a -1/16) (* b 1/48))) #s(hole binary64 (* a (+ (* -1/16 b) (* 1/48 (/ (pow b 2) a))))))
#s(approx (+ (* a -1/16) (* b 1/48)) #s(hole binary64 (* -1/16 a)))
#s(approx (+ (* a -1/16) (* b 1/48)) #s(hole binary64 (* a (- (* 1/48 (/ b a)) 1/16))))
#s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) #s(hole binary64 (* -1 (* a (- (* -1 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (* a (+ 1 (exp b)))))))))
#s(approx (* a (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2))) #s(hole binary64 (* -1 (* a (- (* -1 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (* a (+ 1 (exp b)))))))))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) #s(hole binary64 (* -1 (* a (- (* 1/16 (pow b 2)) 1/4)))))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) #s(hole binary64 (* -1 (* a (- (+ (* -1 (/ (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4))) a)) (* 1/16 (pow b 2))) 1/4)))))
#s(approx (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) #s(hole binary64 (* -1 (* a (- (* 1/16 (pow b 2)) 1/4)))))
#s(approx (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) #s(hole binary64 (* -1 (* a (- (+ (* -1 (/ (* b (- (* 1/48 (pow b 2)) 1/4)) a)) (* 1/16 (pow b 2))) 1/4)))))
#s(approx (- (* b (+ (* a -1/16) (* b 1/48))) 1/4) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* 1/48 (pow b 2)) 1/4) a)) (* 1/16 b))))))
#s(approx (* b (+ (* a -1/16) (* b 1/48))) #s(hole binary64 (* -1 (* a (+ (* -1/48 (/ (pow b 2) a)) (* 1/16 b))))))
#s(approx (+ (* a -1/16) (* b 1/48)) #s(hole binary64 (* -1 (* a (+ 1/16 (* -1/48 (/ 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 (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) #s(hole binary64 (+ 1/2 (* 1/4 a))))
#s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* 1/4 a)))))
#s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) #s(hole binary64 (+ 1/2 (+ (* 1/4 a) (* b (- (* -1/16 (* a b)) 1/4))))))
#s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) #s(hole binary64 (+ 1/2 (+ (* 1/4 a) (* b (- (* b (+ (* -1/16 a) (* 1/48 b))) 1/4))))))
#s(approx (* a (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2))) #s(hole binary64 (* a (+ 1/4 (* 1/2 (/ 1 a))))))
#s(approx (* a (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2))) #s(hole binary64 (+ (* -1/4 b) (* a (+ 1/4 (* 1/2 (/ 1 a)))))))
#s(approx (* a (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2))) #s(hole binary64 (+ (* a (+ 1/4 (* 1/2 (/ 1 a)))) (* b (- (* -1/16 (* a b)) 1/4)))))
#s(approx (* a (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2))) #s(hole binary64 (+ (* a (+ 1/4 (* 1/2 (/ 1 a)))) (* b (- (* b (+ (* -1/16 a) (* 1/48 b))) 1/4)))))
#s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) #s(hole binary64 (+ 1/4 (* 1/2 (/ 1 a)))))
#s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) #s(hole binary64 (+ 1/4 (+ (* -1/4 (/ b a)) (* 1/2 (/ 1 a))))))
#s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) #s(hole binary64 (+ 1/4 (+ (* 1/2 (/ 1 a)) (* b (- (* -1/16 b) (* 1/4 (/ 1 a))))))))
#s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) #s(hole binary64 (+ 1/4 (+ (* 1/2 (/ 1 a)) (* b (- (* b (- (* 1/48 (/ b a)) 1/16)) (* 1/4 (/ 1 a))))))))
#s(approx (/ 1 (* a (+ 1 (exp b)))) #s(hole binary64 (/ 1/2 a)))
#s(approx (/ 1 (* a (+ 1 (exp b)))) #s(hole binary64 (+ (* -1/4 (/ b a)) (* 1/2 (/ 1 a)))))
#s(approx (/ 1 (* a (+ 1 (exp b)))) #s(hole binary64 (+ (* b (- (* 1/48 (/ (pow b 2) a)) (* 1/4 (/ 1 a)))) (* 1/2 (/ 1 a)))))
#s(approx (/ 1 (* a (+ 1 (exp b)))) #s(hole binary64 (+ (* b (- (* (pow b 2) (+ (* -1/480 (/ (pow b 2) a)) (* 1/48 (/ 1 a)))) (* 1/4 (/ 1 a)))) (* 1/2 (/ 1 a)))))
#s(approx (* a (+ 1 (exp b))) #s(hole binary64 (* 2 a)))
#s(approx (* a (+ 1 (exp b))) #s(hole binary64 (+ (* 2 a) (* a b))))
#s(approx (* a (+ 1 (exp b))) #s(hole binary64 (+ (* 2 a) (* b (+ a (* 1/2 (* a b)))))))
#s(approx (* a (+ 1 (exp b))) #s(hole binary64 (+ (* 2 a) (* b (+ a (* b (+ (* 1/6 (* a b)) (* 1/2 a))))))))
#s(approx (+ 1 (exp b)) #s(hole binary64 2))
#s(approx (+ 1 (exp b)) #s(hole binary64 (+ 2 b)))
#s(approx (+ 1 (exp b)) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#s(approx (+ 1 (exp b)) #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 (/ 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 (+ (* b -1/4) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* b -1/4) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (* b -1/4) #s(hole binary64 (* -1/4 b)))
#s(approx (* b (- (/ 1/2 b) 1/4)) #s(hole binary64 1/2))
#s(approx (* b (- (/ 1/2 b) 1/4)) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (- (/ 1/2 b) 1/4) #s(hole binary64 (/ 1/2 b)))
#s(approx (- (/ 1/2 b) 1/4) #s(hole binary64 (/ (+ 1/2 (* -1/4 b)) b)))
#s(approx (/ 1/2 b) #s(hole binary64 (/ 1/2 b)))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) #s(hole binary64 (+ 1/2 (* 1/4 a))))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* 1/4 a)))))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) #s(hole binary64 (+ 1/2 (+ (* 1/4 a) (* b (- (* -1/16 (* a b)) 1/4))))))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) #s(hole binary64 (+ 1/2 (+ (* 1/4 a) (* b (- (* b (+ (* -1/16 a) (* 1/48 b))) 1/4))))))
#s(approx (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) #s(hole binary64 (* 1/4 a)))
#s(approx (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) #s(hole binary64 (+ (* -1/4 b) (* 1/4 a))))
#s(approx (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) #s(hole binary64 (+ (* 1/4 a) (* b (- (* -1/16 (* a b)) 1/4)))))
#s(approx (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) #s(hole binary64 (+ (* 1/4 a) (* b (- (* b (+ (* -1/16 a) (* 1/48 b))) 1/4)))))
#s(approx (- (* b (+ (* a -1/16) (* b 1/48))) 1/4) #s(hole binary64 -1/4))
#s(approx (- (* b (+ (* a -1/16) (* b 1/48))) 1/4) #s(hole binary64 (- (* -1/16 (* a b)) 1/4)))
#s(approx (- (* b (+ (* a -1/16) (* b 1/48))) 1/4) #s(hole binary64 (- (* b (+ (* -1/16 a) (* 1/48 b))) 1/4)))
#s(approx (* b (+ (* a -1/16) (* b 1/48))) #s(hole binary64 (* b (+ (* -1/16 a) (* 1/48 b)))))
#s(approx (* b 1/48) #s(hole binary64 (* 1/48 b)))
#s(approx (* a (+ (* -1/16 (pow b 2)) 1/4)) #s(hole binary64 (* 1/4 a)))
#s(approx (* a (+ (* -1/16 (pow b 2)) 1/4)) #s(hole binary64 (+ (* -1/16 (* a (pow b 2))) (* 1/4 a))))
#s(approx (+ (* -1/16 (pow b 2)) 1/4) #s(hole binary64 1/4))
#s(approx (+ (* -1/16 (pow b 2)) 1/4) #s(hole binary64 (+ 1/4 (* -1/16 (pow b 2)))))
#s(approx (pow b 2) #s(hole binary64 (pow b 2)))
#s(approx (+ 1 (exp b)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (/ 1 (+ (exp b) 1)) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (+ (* b -1/4) 1/2) #s(hole binary64 (* -1/4 b)))
#s(approx (+ (* b -1/4) 1/2) #s(hole binary64 (* b (- (* 1/2 (/ 1 b)) 1/4))))
#s(approx (* b (- (/ 1/2 b) 1/4)) #s(hole binary64 (* -1/4 b)))
#s(approx (* b (- (/ 1/2 b) 1/4)) #s(hole binary64 (* b (- (* 1/2 (/ 1 b)) 1/4))))
#s(approx (- (/ 1/2 b) 1/4) #s(hole binary64 -1/4))
#s(approx (- (/ 1/2 b) 1/4) #s(hole binary64 (- (* 1/2 (/ 1 b)) 1/4)))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) #s(hole binary64 (* 1/48 (pow b 3))))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) #s(hole binary64 (* (pow b 3) (+ 1/48 (* -1/16 (/ a b))))))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) #s(hole binary64 (* (pow b 3) (- (+ 1/48 (* -1/16 (/ a b))) (/ 1/4 (pow b 2))))))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) #s(hole binary64 (* (pow b 3) (- (+ 1/48 (+ (* -1/16 (/ a b)) (+ (* 1/4 (/ a (pow b 3))) (* 1/2 (/ 1 (pow b 3)))))) (/ 1/4 (pow b 2))))))
#s(approx (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) #s(hole binary64 (* 1/48 (pow b 3))))
#s(approx (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) #s(hole binary64 (* (pow b 3) (+ 1/48 (* -1/16 (/ a b))))))
#s(approx (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) #s(hole binary64 (* (pow b 3) (- (+ 1/48 (* -1/16 (/ a b))) (/ 1/4 (pow b 2))))))
#s(approx (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) #s(hole binary64 (* (pow b 3) (- (+ 1/48 (+ (* -1/16 (/ a b)) (* 1/4 (/ a (pow b 3))))) (/ 1/4 (pow b 2))))))
#s(approx (- (* b (+ (* a -1/16) (* b 1/48))) 1/4) #s(hole binary64 (* 1/48 (pow b 2))))
#s(approx (- (* b (+ (* a -1/16) (* b 1/48))) 1/4) #s(hole binary64 (* (pow b 2) (+ 1/48 (* -1/16 (/ a b))))))
#s(approx (- (* b (+ (* a -1/16) (* b 1/48))) 1/4) #s(hole binary64 (* (pow b 2) (- (+ 1/48 (* -1/16 (/ a b))) (/ 1/4 (pow b 2))))))
#s(approx (* b (+ (* a -1/16) (* b 1/48))) #s(hole binary64 (* (pow b 2) (+ 1/48 (* -1/16 (/ a b))))))
#s(approx (+ (* a -1/16) (* b 1/48)) #s(hole binary64 (* b (+ 1/48 (* -1/16 (/ a b))))))
#s(approx (* a (+ (* -1/16 (pow b 2)) 1/4)) #s(hole binary64 (* -1/16 (* a (pow b 2)))))
#s(approx (* a (+ (* -1/16 (pow b 2)) 1/4)) #s(hole binary64 (* (pow b 2) (+ (* -1/16 a) (* 1/4 (/ a (pow b 2)))))))
#s(approx (+ (* -1/16 (pow b 2)) 1/4) #s(hole binary64 (* -1/16 (pow b 2))))
#s(approx (+ (* -1/16 (pow b 2)) 1/4) #s(hole binary64 (* (pow b 2) (- (* 1/4 (/ 1 (pow b 2))) 1/16))))
#s(approx (+ (* b -1/4) 1/2) #s(hole binary64 (* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))))
#s(approx (* b (- (/ 1/2 b) 1/4)) #s(hole binary64 (* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) #s(hole binary64 (* -1 (* (pow b 3) (- (* 1/16 (/ a b)) 1/48)))))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) #s(hole binary64 (* -1 (* (pow b 3) (- (* -1 (/ (- (* -1/16 a) (* 1/4 (/ 1 b))) b)) 1/48)))))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) #s(hole binary64 (* -1 (* (pow b 3) (- (* -1 (/ (+ (* -1 (/ (+ 1/4 (* -1 (/ (+ 1/2 (* 1/4 a)) b))) b)) (* -1/16 a)) b)) 1/48)))))
#s(approx (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) #s(hole binary64 (* -1 (* (pow b 3) (- (* 1/16 (/ a b)) 1/48)))))
#s(approx (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) #s(hole binary64 (* -1 (* (pow b 3) (- (* -1 (/ (- (* -1/16 a) (* 1/4 (/ 1 b))) b)) 1/48)))))
#s(approx (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) #s(hole binary64 (* -1 (* (pow b 3) (- (* -1 (/ (+ (* -1 (/ (+ 1/4 (* -1/4 (/ a b))) b)) (* -1/16 a)) b)) 1/48)))))
#s(approx (- (* b (+ (* a -1/16) (* b 1/48))) 1/4) #s(hole binary64 (* (pow b 2) (+ 1/48 (* -1 (/ (+ (* 1/16 a) (* 1/4 (/ 1 b))) b))))))
#s(approx (+ (* a -1/16) (* b 1/48)) #s(hole binary64 (* -1 (* b (- (* 1/16 (/ a b)) 1/48)))))
Calls

6 calls:

TimeVariablePointExpression
6.0ms
a
@-inf
((/ (exp a) (+ (exp a) (exp b))) (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (* a (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2))) a (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) (/ 1 (* a (+ 1 (exp b)))) 1 (* a (+ 1 (exp b))) (+ 1 (exp b)) (exp b) b (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (* b -1/4) 1/2) (* b -1/4) -1/4 (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (* b -1/4) 1/2) (* b (- (/ 1/2 b) 1/4)) (- (/ 1/2 b) 1/4) (/ 1/2 b) 1/2 1/4 (/ (exp a) (+ (exp a) (exp b))) (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) (- (* b (+ (* a -1/16) (* b 1/48))) 1/4) (* b (+ (* a -1/16) (* b 1/48))) (+ (* a -1/16) (* b 1/48)) (* b 1/48) 1/48 (* a 1/4) (/ (exp a) (+ (exp a) (exp b))) (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) (* a (+ (* -1/16 (pow b 2)) 1/4)) (+ (* -1/16 (pow b 2)) 1/4) -1/16 (pow b 2) 2)
4.0ms
b
@-inf
((/ (exp a) (+ (exp a) (exp b))) (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (* a (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2))) a (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) (/ 1 (* a (+ 1 (exp b)))) 1 (* a (+ 1 (exp b))) (+ 1 (exp b)) (exp b) b (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (* b -1/4) 1/2) (* b -1/4) -1/4 (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (* b -1/4) 1/2) (* b (- (/ 1/2 b) 1/4)) (- (/ 1/2 b) 1/4) (/ 1/2 b) 1/2 1/4 (/ (exp a) (+ (exp a) (exp b))) (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) (- (* b (+ (* a -1/16) (* b 1/48))) 1/4) (* b (+ (* a -1/16) (* b 1/48))) (+ (* a -1/16) (* b 1/48)) (* b 1/48) 1/48 (* a 1/4) (/ (exp a) (+ (exp a) (exp b))) (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) (* a (+ (* -1/16 (pow b 2)) 1/4)) (+ (* -1/16 (pow b 2)) 1/4) -1/16 (pow b 2) 2)
4.0ms
b
@inf
((/ (exp a) (+ (exp a) (exp b))) (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (* a (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2))) a (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) (/ 1 (* a (+ 1 (exp b)))) 1 (* a (+ 1 (exp b))) (+ 1 (exp b)) (exp b) b (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (* b -1/4) 1/2) (* b -1/4) -1/4 (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (* b -1/4) 1/2) (* b (- (/ 1/2 b) 1/4)) (- (/ 1/2 b) 1/4) (/ 1/2 b) 1/2 1/4 (/ (exp a) (+ (exp a) (exp b))) (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) (- (* b (+ (* a -1/16) (* b 1/48))) 1/4) (* b (+ (* a -1/16) (* b 1/48))) (+ (* a -1/16) (* b 1/48)) (* b 1/48) 1/48 (* a 1/4) (/ (exp a) (+ (exp a) (exp b))) (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) (* a (+ (* -1/16 (pow b 2)) 1/4)) (+ (* -1/16 (pow b 2)) 1/4) -1/16 (pow b 2) 2)
4.0ms
a
@inf
((/ (exp a) (+ (exp a) (exp b))) (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (* a (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2))) a (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) (/ 1 (* a (+ 1 (exp b)))) 1 (* a (+ 1 (exp b))) (+ 1 (exp b)) (exp b) b (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (* b -1/4) 1/2) (* b -1/4) -1/4 (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (* b -1/4) 1/2) (* b (- (/ 1/2 b) 1/4)) (- (/ 1/2 b) 1/4) (/ 1/2 b) 1/2 1/4 (/ (exp a) (+ (exp a) (exp b))) (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) (- (* b (+ (* a -1/16) (* b 1/48))) 1/4) (* b (+ (* a -1/16) (* b 1/48))) (+ (* a -1/16) (* b 1/48)) (* b 1/48) 1/48 (* a 1/4) (/ (exp a) (+ (exp a) (exp b))) (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) (* a (+ (* -1/16 (pow b 2)) 1/4)) (+ (* -1/16 (pow b 2)) 1/4) -1/16 (pow b 2) 2)
3.0ms
a
@0
((/ (exp a) (+ (exp a) (exp b))) (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (* a (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2))) a (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) (/ 1 (* a (+ 1 (exp b)))) 1 (* a (+ 1 (exp b))) (+ 1 (exp b)) (exp b) b (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (* b -1/4) 1/2) (* b -1/4) -1/4 (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (* b -1/4) 1/2) (* b (- (/ 1/2 b) 1/4)) (- (/ 1/2 b) 1/4) (/ 1/2 b) 1/2 1/4 (/ (exp a) (+ (exp a) (exp b))) (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) (- (* b (+ (* a -1/16) (* b 1/48))) 1/4) (* b (+ (* a -1/16) (* b 1/48))) (+ (* a -1/16) (* b 1/48)) (* b 1/48) 1/48 (* a 1/4) (/ (exp a) (+ (exp a) (exp b))) (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) (* a (+ (* -1/16 (pow b 2)) 1/4)) (+ (* -1/16 (pow b 2)) 1/4) -1/16 (pow b 2) 2)

rewrite942.0ms (15%)

Memory
118.2MiB live, 289.8MiB allocated; 83ms collecting garbage
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
06644863
19814855
29874853
39944851
410014849
510094849
610184849
710264849
810304849
910324849
010324646
135224646
082554494
193384451
2112824420
3142124401
4166774399
5181014398
6188614395
7193394393
8198094393
9202064393
10203704393
11204064393
12204104393
Stop Event
saturated
node limit
saturated
Counts
192 → 265
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (*.f64 a #s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) (/.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))))))))
#s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (*.f64 a #s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) (/.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b)))))))
(*.f64 a #s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) (/.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))))))
a
#s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) (/.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(/.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))))
#s(literal 1 binary64)
(*.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(exp.f64 b)
b
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* b -1/4) 1/2) (*.f64 b #s(literal -1/4 binary64)))))
#s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* b -1/4) 1/2) (*.f64 b #s(literal -1/4 binary64))))
#s(approx (+ (* b -1/4) 1/2) (*.f64 b #s(literal -1/4 binary64)))
(*.f64 b #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* b -1/4) 1/2) (*.f64 b (-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/4 binary64))))))
#s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* b -1/4) 1/2) (*.f64 b (-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/4 binary64)))))
#s(approx (+ (* b -1/4) 1/2) (*.f64 b (-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/4 binary64))))
(*.f64 b (-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/4 binary64)))
(-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/4 binary64))
(/.f64 #s(literal 1/2 binary64) b)
#s(literal 1/2 binary64)
#s(literal 1/4 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (+.f64 #s(literal 1/2 binary64) (fma.f64 b (-.f64 (*.f64 b #s(approx (+ (* a -1/16) (* b 1/48)) (*.f64 b #s(literal 1/48 binary64)))) #s(literal 1/4 binary64)) (*.f64 a #s(literal 1/4 binary64))))))
#s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (+.f64 #s(literal 1/2 binary64) (fma.f64 b (-.f64 (*.f64 b #s(approx (+ (* a -1/16) (* b 1/48)) (*.f64 b #s(literal 1/48 binary64)))) #s(literal 1/4 binary64)) (*.f64 a #s(literal 1/4 binary64)))))
(+.f64 #s(literal 1/2 binary64) (fma.f64 b (-.f64 (*.f64 b #s(approx (+ (* a -1/16) (* b 1/48)) (*.f64 b #s(literal 1/48 binary64)))) #s(literal 1/4 binary64)) (*.f64 a #s(literal 1/4 binary64))))
(fma.f64 b (-.f64 (*.f64 b #s(approx (+ (* a -1/16) (* b 1/48)) (*.f64 b #s(literal 1/48 binary64)))) #s(literal 1/4 binary64)) (*.f64 a #s(literal 1/4 binary64)))
(-.f64 (*.f64 b #s(approx (+ (* a -1/16) (* b 1/48)) (*.f64 b #s(literal 1/48 binary64)))) #s(literal 1/4 binary64))
(*.f64 b #s(approx (+ (* a -1/16) (* b 1/48)) (*.f64 b #s(literal 1/48 binary64))))
#s(approx (+ (* a -1/16) (* b 1/48)) (*.f64 b #s(literal 1/48 binary64)))
(*.f64 b #s(literal 1/48 binary64))
#s(literal 1/48 binary64)
(*.f64 a #s(literal 1/4 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) #s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) (*.f64 a (fma.f64 #s(literal -1/16 binary64) (pow.f64 b #s(literal 2 binary64)) #s(literal 1/4 binary64))))))
#s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) #s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) (*.f64 a (fma.f64 #s(literal -1/16 binary64) (pow.f64 b #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) (*.f64 a (fma.f64 #s(literal -1/16 binary64) (pow.f64 b #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(*.f64 a (fma.f64 #s(literal -1/16 binary64) (pow.f64 b #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fma.f64 #s(literal -1/16 binary64) (pow.f64 b #s(literal 2 binary64)) #s(literal 1/4 binary64))
#s(literal -1/16 binary64)
(pow.f64 b #s(literal 2 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 (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (* a (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (* a (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2))) #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 (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) #s(hole binary64 (/ 1 (* a (+ 1 (exp b))))))
#s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) #s(hole binary64 (/ (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) a)))
#s(approx (/ 1 (* a (+ 1 (exp b)))) #s(hole binary64 (/ 1 (* a (+ 1 (exp b))))))
#s(approx (* a (+ 1 (exp b))) #s(hole binary64 (* a (+ 1 (exp b)))))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) #s(hole binary64 (+ 1/2 (+ (* a (+ 1/4 (* -1/16 (pow b 2)))) (* b (- (* 1/48 (pow b 2)) 1/4))))))
#s(approx (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) #s(hole binary64 (* b (- (* 1/48 (pow b 2)) 1/4))))
#s(approx (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) #s(hole binary64 (+ (* a (+ 1/4 (* -1/16 (pow b 2)))) (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (- (* b (+ (* a -1/16) (* b 1/48))) 1/4) #s(hole binary64 (- (* 1/48 (pow b 2)) 1/4)))
#s(approx (- (* b (+ (* a -1/16) (* b 1/48))) 1/4) #s(hole binary64 (- (+ (* -1/16 (* a b)) (* 1/48 (pow b 2))) 1/4)))
#s(approx (* b (+ (* a -1/16) (* b 1/48))) #s(hole binary64 (* 1/48 (pow b 2))))
#s(approx (* b (+ (* a -1/16) (* b 1/48))) #s(hole binary64 (+ (* -1/16 (* a b)) (* 1/48 (pow b 2)))))
#s(approx (+ (* a -1/16) (* b 1/48)) #s(hole binary64 (* 1/48 b)))
#s(approx (+ (* a -1/16) (* b 1/48)) #s(hole binary64 (+ (* -1/16 a) (* 1/48 b))))
#s(approx (* a 1/4) #s(hole binary64 (* 1/4 a)))
#s(approx (* a (+ (* -1/16 (pow b 2)) 1/4)) #s(hole binary64 (* a (+ 1/4 (* -1/16 (pow b 2))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ (exp a) (exp b)))))
#s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) #s(hole binary64 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))))
#s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) #s(hole binary64 (* a (- (+ (/ 1 (* a (+ 1 (exp b)))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2))))))
#s(approx (* a (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2))) #s(hole binary64 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))))
#s(approx (* a (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2))) #s(hole binary64 (* a (- (+ (/ 1 (* a (+ 1 (exp b)))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2))))))
#s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) #s(hole binary64 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))
#s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) #s(hole binary64 (- (+ (/ 1 (* a (+ 1 (exp b)))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) #s(hole binary64 (* a (+ 1/4 (* -1/16 (pow b 2))))))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) #s(hole binary64 (* a (+ 1/4 (+ (* -1/16 (pow b 2)) (+ (* 1/2 (/ 1 a)) (/ (* b (- (* 1/48 (pow b 2)) 1/4)) a)))))))
#s(approx (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) #s(hole binary64 (* a (+ 1/4 (* -1/16 (pow b 2))))))
#s(approx (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) #s(hole binary64 (* a (+ 1/4 (+ (* -1/16 (pow b 2)) (/ (* b (- (* 1/48 (pow b 2)) 1/4)) a))))))
#s(approx (- (* b (+ (* a -1/16) (* b 1/48))) 1/4) #s(hole binary64 (* -1/16 (* a b))))
#s(approx (- (* b (+ (* a -1/16) (* b 1/48))) 1/4) #s(hole binary64 (* a (- (+ (* -1/16 b) (* 1/48 (/ (pow b 2) a))) (* 1/4 (/ 1 a))))))
#s(approx (* b (+ (* a -1/16) (* b 1/48))) #s(hole binary64 (* -1/16 (* a b))))
#s(approx (* b (+ (* a -1/16) (* b 1/48))) #s(hole binary64 (* a (+ (* -1/16 b) (* 1/48 (/ (pow b 2) a))))))
#s(approx (+ (* a -1/16) (* b 1/48)) #s(hole binary64 (* -1/16 a)))
#s(approx (+ (* a -1/16) (* b 1/48)) #s(hole binary64 (* a (- (* 1/48 (/ b a)) 1/16))))
#s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) #s(hole binary64 (* -1 (* a (- (* -1 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (* a (+ 1 (exp b)))))))))
#s(approx (* a (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2))) #s(hole binary64 (* -1 (* a (- (* -1 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (* a (+ 1 (exp b)))))))))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) #s(hole binary64 (* -1 (* a (- (* 1/16 (pow b 2)) 1/4)))))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) #s(hole binary64 (* -1 (* a (- (+ (* -1 (/ (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4))) a)) (* 1/16 (pow b 2))) 1/4)))))
#s(approx (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) #s(hole binary64 (* -1 (* a (- (* 1/16 (pow b 2)) 1/4)))))
#s(approx (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) #s(hole binary64 (* -1 (* a (- (+ (* -1 (/ (* b (- (* 1/48 (pow b 2)) 1/4)) a)) (* 1/16 (pow b 2))) 1/4)))))
#s(approx (- (* b (+ (* a -1/16) (* b 1/48))) 1/4) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* 1/48 (pow b 2)) 1/4) a)) (* 1/16 b))))))
#s(approx (* b (+ (* a -1/16) (* b 1/48))) #s(hole binary64 (* -1 (* a (+ (* -1/48 (/ (pow b 2) a)) (* 1/16 b))))))
#s(approx (+ (* a -1/16) (* b 1/48)) #s(hole binary64 (* -1 (* a (+ 1/16 (* -1/48 (/ 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 (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) #s(hole binary64 (+ 1/2 (* 1/4 a))))
#s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* 1/4 a)))))
#s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) #s(hole binary64 (+ 1/2 (+ (* 1/4 a) (* b (- (* -1/16 (* a b)) 1/4))))))
#s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) #s(hole binary64 (+ 1/2 (+ (* 1/4 a) (* b (- (* b (+ (* -1/16 a) (* 1/48 b))) 1/4))))))
#s(approx (* a (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2))) #s(hole binary64 (* a (+ 1/4 (* 1/2 (/ 1 a))))))
#s(approx (* a (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2))) #s(hole binary64 (+ (* -1/4 b) (* a (+ 1/4 (* 1/2 (/ 1 a)))))))
#s(approx (* a (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2))) #s(hole binary64 (+ (* a (+ 1/4 (* 1/2 (/ 1 a)))) (* b (- (* -1/16 (* a b)) 1/4)))))
#s(approx (* a (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2))) #s(hole binary64 (+ (* a (+ 1/4 (* 1/2 (/ 1 a)))) (* b (- (* b (+ (* -1/16 a) (* 1/48 b))) 1/4)))))
#s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) #s(hole binary64 (+ 1/4 (* 1/2 (/ 1 a)))))
#s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) #s(hole binary64 (+ 1/4 (+ (* -1/4 (/ b a)) (* 1/2 (/ 1 a))))))
#s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) #s(hole binary64 (+ 1/4 (+ (* 1/2 (/ 1 a)) (* b (- (* -1/16 b) (* 1/4 (/ 1 a))))))))
#s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) #s(hole binary64 (+ 1/4 (+ (* 1/2 (/ 1 a)) (* b (- (* b (- (* 1/48 (/ b a)) 1/16)) (* 1/4 (/ 1 a))))))))
#s(approx (/ 1 (* a (+ 1 (exp b)))) #s(hole binary64 (/ 1/2 a)))
#s(approx (/ 1 (* a (+ 1 (exp b)))) #s(hole binary64 (+ (* -1/4 (/ b a)) (* 1/2 (/ 1 a)))))
#s(approx (/ 1 (* a (+ 1 (exp b)))) #s(hole binary64 (+ (* b (- (* 1/48 (/ (pow b 2) a)) (* 1/4 (/ 1 a)))) (* 1/2 (/ 1 a)))))
#s(approx (/ 1 (* a (+ 1 (exp b)))) #s(hole binary64 (+ (* b (- (* (pow b 2) (+ (* -1/480 (/ (pow b 2) a)) (* 1/48 (/ 1 a)))) (* 1/4 (/ 1 a)))) (* 1/2 (/ 1 a)))))
#s(approx (* a (+ 1 (exp b))) #s(hole binary64 (* 2 a)))
#s(approx (* a (+ 1 (exp b))) #s(hole binary64 (+ (* 2 a) (* a b))))
#s(approx (* a (+ 1 (exp b))) #s(hole binary64 (+ (* 2 a) (* b (+ a (* 1/2 (* a b)))))))
#s(approx (* a (+ 1 (exp b))) #s(hole binary64 (+ (* 2 a) (* b (+ a (* b (+ (* 1/6 (* a b)) (* 1/2 a))))))))
#s(approx (+ 1 (exp b)) #s(hole binary64 2))
#s(approx (+ 1 (exp b)) #s(hole binary64 (+ 2 b)))
#s(approx (+ 1 (exp b)) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#s(approx (+ 1 (exp b)) #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 (/ 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 (+ (* b -1/4) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* b -1/4) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (* b -1/4) #s(hole binary64 (* -1/4 b)))
#s(approx (* b (- (/ 1/2 b) 1/4)) #s(hole binary64 1/2))
#s(approx (* b (- (/ 1/2 b) 1/4)) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (- (/ 1/2 b) 1/4) #s(hole binary64 (/ 1/2 b)))
#s(approx (- (/ 1/2 b) 1/4) #s(hole binary64 (/ (+ 1/2 (* -1/4 b)) b)))
#s(approx (/ 1/2 b) #s(hole binary64 (/ 1/2 b)))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) #s(hole binary64 (+ 1/2 (* 1/4 a))))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* 1/4 a)))))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) #s(hole binary64 (+ 1/2 (+ (* 1/4 a) (* b (- (* -1/16 (* a b)) 1/4))))))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) #s(hole binary64 (+ 1/2 (+ (* 1/4 a) (* b (- (* b (+ (* -1/16 a) (* 1/48 b))) 1/4))))))
#s(approx (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) #s(hole binary64 (* 1/4 a)))
#s(approx (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) #s(hole binary64 (+ (* -1/4 b) (* 1/4 a))))
#s(approx (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) #s(hole binary64 (+ (* 1/4 a) (* b (- (* -1/16 (* a b)) 1/4)))))
#s(approx (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) #s(hole binary64 (+ (* 1/4 a) (* b (- (* b (+ (* -1/16 a) (* 1/48 b))) 1/4)))))
#s(approx (- (* b (+ (* a -1/16) (* b 1/48))) 1/4) #s(hole binary64 -1/4))
#s(approx (- (* b (+ (* a -1/16) (* b 1/48))) 1/4) #s(hole binary64 (- (* -1/16 (* a b)) 1/4)))
#s(approx (- (* b (+ (* a -1/16) (* b 1/48))) 1/4) #s(hole binary64 (- (* b (+ (* -1/16 a) (* 1/48 b))) 1/4)))
#s(approx (* b (+ (* a -1/16) (* b 1/48))) #s(hole binary64 (* b (+ (* -1/16 a) (* 1/48 b)))))
#s(approx (* b 1/48) #s(hole binary64 (* 1/48 b)))
#s(approx (* a (+ (* -1/16 (pow b 2)) 1/4)) #s(hole binary64 (* 1/4 a)))
#s(approx (* a (+ (* -1/16 (pow b 2)) 1/4)) #s(hole binary64 (+ (* -1/16 (* a (pow b 2))) (* 1/4 a))))
#s(approx (+ (* -1/16 (pow b 2)) 1/4) #s(hole binary64 1/4))
#s(approx (+ (* -1/16 (pow b 2)) 1/4) #s(hole binary64 (+ 1/4 (* -1/16 (pow b 2)))))
#s(approx (pow b 2) #s(hole binary64 (pow b 2)))
#s(approx (+ 1 (exp b)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (/ 1 (+ (exp b) 1)) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (+ (* b -1/4) 1/2) #s(hole binary64 (* -1/4 b)))
#s(approx (+ (* b -1/4) 1/2) #s(hole binary64 (* b (- (* 1/2 (/ 1 b)) 1/4))))
#s(approx (* b (- (/ 1/2 b) 1/4)) #s(hole binary64 (* -1/4 b)))
#s(approx (* b (- (/ 1/2 b) 1/4)) #s(hole binary64 (* b (- (* 1/2 (/ 1 b)) 1/4))))
#s(approx (- (/ 1/2 b) 1/4) #s(hole binary64 -1/4))
#s(approx (- (/ 1/2 b) 1/4) #s(hole binary64 (- (* 1/2 (/ 1 b)) 1/4)))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) #s(hole binary64 (* 1/48 (pow b 3))))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) #s(hole binary64 (* (pow b 3) (+ 1/48 (* -1/16 (/ a b))))))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) #s(hole binary64 (* (pow b 3) (- (+ 1/48 (* -1/16 (/ a b))) (/ 1/4 (pow b 2))))))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) #s(hole binary64 (* (pow b 3) (- (+ 1/48 (+ (* -1/16 (/ a b)) (+ (* 1/4 (/ a (pow b 3))) (* 1/2 (/ 1 (pow b 3)))))) (/ 1/4 (pow b 2))))))
#s(approx (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) #s(hole binary64 (* 1/48 (pow b 3))))
#s(approx (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) #s(hole binary64 (* (pow b 3) (+ 1/48 (* -1/16 (/ a b))))))
#s(approx (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) #s(hole binary64 (* (pow b 3) (- (+ 1/48 (* -1/16 (/ a b))) (/ 1/4 (pow b 2))))))
#s(approx (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) #s(hole binary64 (* (pow b 3) (- (+ 1/48 (+ (* -1/16 (/ a b)) (* 1/4 (/ a (pow b 3))))) (/ 1/4 (pow b 2))))))
#s(approx (- (* b (+ (* a -1/16) (* b 1/48))) 1/4) #s(hole binary64 (* 1/48 (pow b 2))))
#s(approx (- (* b (+ (* a -1/16) (* b 1/48))) 1/4) #s(hole binary64 (* (pow b 2) (+ 1/48 (* -1/16 (/ a b))))))
#s(approx (- (* b (+ (* a -1/16) (* b 1/48))) 1/4) #s(hole binary64 (* (pow b 2) (- (+ 1/48 (* -1/16 (/ a b))) (/ 1/4 (pow b 2))))))
#s(approx (* b (+ (* a -1/16) (* b 1/48))) #s(hole binary64 (* (pow b 2) (+ 1/48 (* -1/16 (/ a b))))))
#s(approx (+ (* a -1/16) (* b 1/48)) #s(hole binary64 (* b (+ 1/48 (* -1/16 (/ a b))))))
#s(approx (* a (+ (* -1/16 (pow b 2)) 1/4)) #s(hole binary64 (* -1/16 (* a (pow b 2)))))
#s(approx (* a (+ (* -1/16 (pow b 2)) 1/4)) #s(hole binary64 (* (pow b 2) (+ (* -1/16 a) (* 1/4 (/ a (pow b 2)))))))
#s(approx (+ (* -1/16 (pow b 2)) 1/4) #s(hole binary64 (* -1/16 (pow b 2))))
#s(approx (+ (* -1/16 (pow b 2)) 1/4) #s(hole binary64 (* (pow b 2) (- (* 1/4 (/ 1 (pow b 2))) 1/16))))
#s(approx (+ (* b -1/4) 1/2) #s(hole binary64 (* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))))
#s(approx (* b (- (/ 1/2 b) 1/4)) #s(hole binary64 (* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) #s(hole binary64 (* -1 (* (pow b 3) (- (* 1/16 (/ a b)) 1/48)))))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) #s(hole binary64 (* -1 (* (pow b 3) (- (* -1 (/ (- (* -1/16 a) (* 1/4 (/ 1 b))) b)) 1/48)))))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) #s(hole binary64 (* -1 (* (pow b 3) (- (* -1 (/ (+ (* -1 (/ (+ 1/4 (* -1 (/ (+ 1/2 (* 1/4 a)) b))) b)) (* -1/16 a)) b)) 1/48)))))
#s(approx (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) #s(hole binary64 (* -1 (* (pow b 3) (- (* 1/16 (/ a b)) 1/48)))))
#s(approx (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) #s(hole binary64 (* -1 (* (pow b 3) (- (* -1 (/ (- (* -1/16 a) (* 1/4 (/ 1 b))) b)) 1/48)))))
#s(approx (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) #s(hole binary64 (* -1 (* (pow b 3) (- (* -1 (/ (+ (* -1 (/ (+ 1/4 (* -1/4 (/ a b))) b)) (* -1/16 a)) b)) 1/48)))))
#s(approx (- (* b (+ (* a -1/16) (* b 1/48))) 1/4) #s(hole binary64 (* (pow b 2) (+ 1/48 (* -1 (/ (+ (* 1/16 a) (* 1/4 (/ 1 b))) b))))))
#s(approx (+ (* a -1/16) (* b 1/48)) #s(hole binary64 (* -1 (* b (- (* 1/16 (/ a b)) 1/48)))))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (*.f64 a #s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) (/.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))))))))
#s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (*.f64 a #s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) (/.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b)))))))
(*.f64 a #s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) (/.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))))))
(*.f64 #s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) (/.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))))) a)
a
#s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) (/.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(exp.f64 (*.f64 (log.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b)))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(/.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(pow.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
#s(literal 1 binary64)
(+.f64 (*.f64 a #s(literal 1 binary64)) (*.f64 a (exp.f64 b)))
(+.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 (exp.f64 b) a))
(fma.f64 a #s(literal 1 binary64) (*.f64 a (exp.f64 b)))
(fma.f64 #s(literal 1 binary64) a (*.f64 (exp.f64 b) a))
(*.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) a)
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+.f64 (exp.f64 b) #s(literal 1 binary64))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 b)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (exp.f64 b)))))
(/.f64 (+.f64 (exp.f64 (*.f64 b #s(literal 3 binary64))) #s(literal 1 binary64)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 b) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 b)))
(/.f64 (expm1.f64 (*.f64 b #s(literal 2 binary64))) (expm1.f64 b))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 1 binary64))
(+.f64 (cosh.f64 b) (sinh.f64 b))
(exp.f64 b)
b
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* b -1/4) 1/2) (*.f64 b #s(literal -1/4 binary64)))))
#s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* b -1/4) 1/2) (*.f64 b #s(literal -1/4 binary64))))
#s(approx (+ (* b -1/4) 1/2) (*.f64 b #s(literal -1/4 binary64)))
(*.f64 b #s(literal -1/4 binary64))
(*.f64 #s(literal -1/4 binary64) b)
#s(literal -1/4 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* b -1/4) 1/2) (*.f64 b (-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/4 binary64))))))
#s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* b -1/4) 1/2) (*.f64 b (-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/4 binary64)))))
#s(approx (+ (* b -1/4) 1/2) (*.f64 b (-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/4 binary64))))
(*.f64 b (-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/4 binary64)))
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/4 binary64)) b)
(-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/4 binary64))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/16 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/4 binary64)))
(/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 b #s(literal 3 binary64))) #s(literal 1/64 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 b #s(literal -2 binary64)) (+.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/4 binary64)))))
(/.f64 #s(literal 1/2 binary64) b)
(/.f64 #s(literal -1/2 binary64) (neg.f64 b))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal 1/4 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (+.f64 #s(literal 1/2 binary64) (fma.f64 b (-.f64 (*.f64 b #s(approx (+ (* a -1/16) (* b 1/48)) (*.f64 b #s(literal 1/48 binary64)))) #s(literal 1/4 binary64)) (*.f64 a #s(literal 1/4 binary64))))))
#s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (+.f64 #s(literal 1/2 binary64) (fma.f64 b (-.f64 (*.f64 b #s(approx (+ (* a -1/16) (* b 1/48)) (*.f64 b #s(literal 1/48 binary64)))) #s(literal 1/4 binary64)) (*.f64 a #s(literal 1/4 binary64)))))
(+.f64 #s(literal 1/2 binary64) (fma.f64 b (-.f64 (*.f64 b #s(approx (+ (* a -1/16) (* b 1/48)) (*.f64 b #s(literal 1/48 binary64)))) #s(literal 1/4 binary64)) (*.f64 a #s(literal 1/4 binary64))))
(+.f64 (fma.f64 b (-.f64 (*.f64 b #s(approx (+ (* a -1/16) (* b 1/48)) (*.f64 b #s(literal 1/48 binary64)))) #s(literal 1/4 binary64)) (*.f64 a #s(literal 1/4 binary64))) #s(literal 1/2 binary64))
(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 b (-.f64 (*.f64 b #s(approx (+ (* a -1/16) (* b 1/48)) (*.f64 b #s(literal 1/48 binary64)))) #s(literal 1/4 binary64)))) (*.f64 a #s(literal 1/4 binary64)))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (fma.f64 b (-.f64 (*.f64 b #s(approx (+ (* a -1/16) (* b 1/48)) (*.f64 b #s(literal 1/48 binary64)))) #s(literal 1/4 binary64)) (*.f64 a #s(literal 1/4 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (fma.f64 b (-.f64 (*.f64 b #s(approx (+ (* a -1/16) (* b 1/48)) (*.f64 b #s(literal 1/48 binary64)))) #s(literal 1/4 binary64)) (*.f64 a #s(literal 1/4 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 b (-.f64 (*.f64 b #s(approx (+ (* a -1/16) (* b 1/48)) (*.f64 b #s(literal 1/48 binary64)))) #s(literal 1/4 binary64)) (*.f64 a #s(literal 1/4 binary64)))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 b (-.f64 (*.f64 b #s(approx (+ (* a -1/16) (* b 1/48)) (*.f64 b #s(literal 1/48 binary64)))) #s(literal 1/4 binary64)) (*.f64 a #s(literal 1/4 binary64))) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (fma.f64 b (-.f64 (*.f64 b #s(approx (+ (* a -1/16) (* b 1/48)) (*.f64 b #s(literal 1/48 binary64)))) #s(literal 1/4 binary64)) (*.f64 a #s(literal 1/4 binary64)))))
(+.f64 (*.f64 a #s(literal 1/4 binary64)) (*.f64 b (-.f64 (*.f64 b #s(approx (+ (* a -1/16) (* b 1/48)) (*.f64 b #s(literal 1/48 binary64)))) #s(literal 1/4 binary64))))
(+.f64 (*.f64 b (-.f64 (*.f64 b #s(approx (+ (* a -1/16) (* b 1/48)) (*.f64 b #s(literal 1/48 binary64)))) #s(literal 1/4 binary64))) (*.f64 a #s(literal 1/4 binary64)))
(-.f64 (*.f64 b (-.f64 (*.f64 b #s(approx (+ (* a -1/16) (* b 1/48)) (*.f64 b #s(literal 1/48 binary64)))) #s(literal 1/4 binary64))) (*.f64 (neg.f64 a) #s(literal 1/4 binary64)))
(fma.f64 a #s(literal 1/4 binary64) (*.f64 b (-.f64 (*.f64 b #s(approx (+ (* a -1/16) (* b 1/48)) (*.f64 b #s(literal 1/48 binary64)))) #s(literal 1/4 binary64))))
(fma.f64 b (-.f64 (*.f64 b #s(approx (+ (* a -1/16) (* b 1/48)) (*.f64 b #s(literal 1/48 binary64)))) #s(literal 1/4 binary64)) (*.f64 a #s(literal 1/4 binary64)))
(fma.f64 #s(literal 1/4 binary64) a (*.f64 b (-.f64 (*.f64 b #s(approx (+ (* a -1/16) (* b 1/48)) (*.f64 b #s(literal 1/48 binary64)))) #s(literal 1/4 binary64))))
(fma.f64 (-.f64 (*.f64 b #s(approx (+ (* a -1/16) (* b 1/48)) (*.f64 b #s(literal 1/48 binary64)))) #s(literal 1/4 binary64)) b (*.f64 a #s(literal 1/4 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 b (-.f64 (*.f64 b #s(approx (+ (* a -1/16) (* b 1/48)) (*.f64 b #s(literal 1/48 binary64)))) #s(literal 1/4 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 a #s(literal 1/4 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 b (-.f64 (*.f64 b #s(approx (+ (* a -1/16) (* b 1/48)) (*.f64 b #s(literal 1/48 binary64)))) #s(literal 1/4 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 a #s(literal 1/4 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 b (-.f64 (*.f64 b #s(approx (+ (* a -1/16) (* b 1/48)) (*.f64 b #s(literal 1/48 binary64)))) #s(literal 1/4 binary64))) (*.f64 a #s(literal 1/4 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 b (-.f64 (*.f64 b #s(approx (+ (* a -1/16) (* b 1/48)) (*.f64 b #s(literal 1/48 binary64)))) #s(literal 1/4 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 a #s(literal 1/4 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 b (-.f64 (*.f64 b #s(approx (+ (* a -1/16) (* b 1/48)) (*.f64 b #s(literal 1/48 binary64)))) #s(literal 1/4 binary64))) (*.f64 a #s(literal 1/4 binary64))))
(-.f64 (*.f64 b #s(approx (+ (* a -1/16) (* b 1/48)) (*.f64 b #s(literal 1/48 binary64)))) #s(literal 1/4 binary64))
(/.f64 (-.f64 (pow.f64 (*.f64 b #s(approx (+ (* a -1/16) (* b 1/48)) (*.f64 b #s(literal 1/48 binary64)))) #s(literal 3 binary64)) #s(literal 1/64 binary64)) (+.f64 (pow.f64 (*.f64 b #s(approx (+ (* a -1/16) (* b 1/48)) (*.f64 b #s(literal 1/48 binary64)))) #s(literal 2 binary64)) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 b #s(approx (+ (* a -1/16) (* b 1/48)) (*.f64 b #s(literal 1/48 binary64)))) #s(literal 1/4 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 b #s(approx (+ (* a -1/16) (* b 1/48)) (*.f64 b #s(literal 1/48 binary64)))) #s(literal 2 binary64)) #s(literal 1/16 binary64)) (fma.f64 b #s(approx (+ (* a -1/16) (* b 1/48)) (*.f64 b #s(literal 1/48 binary64))) #s(literal 1/4 binary64)))
(*.f64 b #s(approx (+ (* a -1/16) (* b 1/48)) (*.f64 b #s(literal 1/48 binary64))))
(*.f64 #s(approx (+ (* a -1/16) (* b 1/48)) (*.f64 b #s(literal 1/48 binary64))) b)
#s(approx (+ (* a -1/16) (* b 1/48)) (*.f64 b #s(literal 1/48 binary64)))
(*.f64 b #s(literal 1/48 binary64))
(*.f64 #s(literal 1/48 binary64) b)
#s(literal 1/48 binary64)
(*.f64 a #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) a)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) #s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) (*.f64 a (fma.f64 #s(literal -1/16 binary64) (pow.f64 b #s(literal 2 binary64)) #s(literal 1/4 binary64))))))
#s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) #s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) (*.f64 a (fma.f64 #s(literal -1/16 binary64) (pow.f64 b #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) (*.f64 a (fma.f64 #s(literal -1/16 binary64) (pow.f64 b #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(+.f64 (*.f64 a #s(literal 1/4 binary64)) (*.f64 a (*.f64 #s(literal -1/16 binary64) (pow.f64 b #s(literal 2 binary64)))))
(+.f64 (*.f64 a #s(literal 1/4 binary64)) (*.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 b #s(literal 2 binary64))) a))
(+.f64 (*.f64 a (*.f64 #s(literal -1/16 binary64) (pow.f64 b #s(literal 2 binary64)))) (*.f64 a #s(literal 1/4 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 b #s(literal 2 binary64))) a) (*.f64 a #s(literal 1/4 binary64)))
(fma.f64 a #s(literal 1/4 binary64) (*.f64 a (*.f64 #s(literal -1/16 binary64) (pow.f64 b #s(literal 2 binary64)))))
(fma.f64 a #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 b #s(literal 2 binary64))) a))
(fma.f64 a (*.f64 #s(literal -1/16 binary64) (pow.f64 b #s(literal 2 binary64))) (*.f64 a #s(literal 1/4 binary64)))
(fma.f64 #s(literal 1/4 binary64) a (*.f64 a (*.f64 #s(literal -1/16 binary64) (pow.f64 b #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/4 binary64) a (*.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 b #s(literal 2 binary64))) a))
(fma.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 b #s(literal 2 binary64))) a (*.f64 a #s(literal 1/4 binary64)))
(*.f64 a (fma.f64 #s(literal -1/16 binary64) (pow.f64 b #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (fma.f64 #s(literal -1/16 binary64) (pow.f64 b #s(literal 2 binary64)) #s(literal 1/4 binary64)) a)
(+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/16 binary64) (pow.f64 b #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64))
(-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 b #s(literal 2 binary64)) #s(literal 1/16 binary64)))
(fma.f64 #s(literal -1/16 binary64) (pow.f64 b #s(literal 2 binary64)) #s(literal 1/4 binary64))
(fma.f64 (pow.f64 b #s(literal 2 binary64)) #s(literal -1/16 binary64) #s(literal 1/4 binary64))
(/.f64 (+.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 b #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1/16 binary64) (-.f64 (pow.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 b #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/16 binary64) (pow.f64 b #s(literal 2 binary64)))))))
(/.f64 (fma.f64 #s(literal -1/4096 binary64) (pow.f64 (pow.f64 b #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/64 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 b #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)))))
(/.f64 (-.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 b #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/16 binary64) (pow.f64 b #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 b #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/16 binary64)) (-.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)))
#s(literal -1/16 binary64)
(+.f64 (cosh.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)))
(pow.f64 b #s(literal 2 binary64))
(pow.f64 (pow.f64 b #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 b)) #s(literal 2 binary64))
(*.f64 b b)
(*.f64 (neg.f64 b) (neg.f64 b))
(*.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)))
(*.f64 (fabs.f64 b) (fabs.f64 b))
#s(literal 2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 a (fma.f64 a (+.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)))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 a (fma.f64 a (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (-.f64 (fma.f64 a (-.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -3 binary64)) #s(literal 3/2 binary64) (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)) #s(literal 1/6 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -4 binary64)))))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -3 binary64))) (/.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
#s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
#s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (fma.f64 a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
#s(approx (* a (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
#s(approx (* a (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2))) (fma.f64 a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
#s(approx a a)
#s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) (/.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
#s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) (/.f64 (fma.f64 a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) a))
#s(approx (/ 1 (* a (+ 1 (exp b)))) (/.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
#s(approx (* a (+ 1 (exp b))) (*.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) (fma.f64 b (-.f64 (*.f64 #s(literal 1/48 binary64) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) (+.f64 #s(literal 1/2 binary64) (fma.f64 b (-.f64 (*.f64 #s(literal 1/48 binary64) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) (*.f64 a (fma.f64 #s(literal -1/16 binary64) (pow.f64 b #s(literal 2 binary64)) #s(literal 1/4 binary64))))))
#s(approx (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) (*.f64 b (-.f64 (*.f64 #s(literal 1/48 binary64) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64))))
#s(approx (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) (fma.f64 b (-.f64 (*.f64 #s(literal 1/48 binary64) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) (*.f64 a (fma.f64 #s(literal -1/16 binary64) (pow.f64 b #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
#s(approx (- (* b (+ (* a -1/16) (* b 1/48))) 1/4) (-.f64 (*.f64 #s(literal 1/48 binary64) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)))
#s(approx (- (* b (+ (* a -1/16) (* b 1/48))) 1/4) (fma.f64 #s(literal -1/16 binary64) (*.f64 a b) (-.f64 (*.f64 #s(literal 1/48 binary64) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64))))
#s(approx (* b (+ (* a -1/16) (* b 1/48))) (*.f64 #s(literal 1/48 binary64) (pow.f64 b #s(literal 2 binary64))))
#s(approx (* b (+ (* a -1/16) (* b 1/48))) (fma.f64 #s(literal -1/16 binary64) (*.f64 a b) (*.f64 #s(literal 1/48 binary64) (pow.f64 b #s(literal 2 binary64)))))
#s(approx (+ (* a -1/16) (* b 1/48)) (*.f64 b #s(literal 1/48 binary64)))
#s(approx (+ (* a -1/16) (* b 1/48)) (fma.f64 a #s(literal -1/16 binary64) (*.f64 b #s(literal 1/48 binary64))))
#s(approx (* a 1/4) (*.f64 a #s(literal 1/4 binary64)))
#s(approx (* a (+ (* -1/16 (pow b 2)) 1/4)) (*.f64 a (fma.f64 #s(literal -1/16 binary64) (pow.f64 b #s(literal 2 binary64)) #s(literal 1/4 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))))
#s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (*.f64 a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))))
#s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (*.f64 a (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a)) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))))
#s(approx (* a (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2))) (*.f64 a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))))
#s(approx (* a (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2))) (*.f64 a (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a)) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))))
#s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))))
#s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a)) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) (*.f64 a (fma.f64 #s(literal -1/16 binary64) (pow.f64 b #s(literal 2 binary64)) #s(literal 1/4 binary64))))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) (*.f64 a (+.f64 (fma.f64 #s(literal -1/16 binary64) (pow.f64 b #s(literal 2 binary64)) #s(literal 1/4 binary64)) (/.f64 (fma.f64 b (-.f64 (*.f64 #s(literal 1/48 binary64) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) a))))
#s(approx (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) (*.f64 a (fma.f64 #s(literal -1/16 binary64) (pow.f64 b #s(literal 2 binary64)) #s(literal 1/4 binary64))))
#s(approx (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) (*.f64 a (+.f64 #s(literal 1/4 binary64) (fma.f64 b (/.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) a) (*.f64 #s(literal -1/16 binary64) (pow.f64 b #s(literal 2 binary64)))))))
#s(approx (- (* b (+ (* a -1/16) (* b 1/48))) 1/4) (*.f64 #s(literal -1/16 binary64) (*.f64 a b)))
#s(approx (- (* b (+ (* a -1/16) (* b 1/48))) 1/4) (*.f64 a (fma.f64 b #s(literal -1/16 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) a))))
#s(approx (* b (+ (* a -1/16) (* b 1/48))) (*.f64 #s(literal -1/16 binary64) (*.f64 a b)))
#s(approx (* b (+ (* a -1/16) (* b 1/48))) (*.f64 a (fma.f64 b #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal 1/48 binary64) (pow.f64 b #s(literal 2 binary64))) a))))
#s(approx (+ (* a -1/16) (* b 1/48)) (*.f64 a #s(literal -1/16 binary64)))
#s(approx (+ (* a -1/16) (* b 1/48)) (*.f64 a (-.f64 (/.f64 (*.f64 b #s(literal 1/48 binary64)) a) #s(literal 1/16 binary64))))
#s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (neg.f64 (*.f64 a (-.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))))))))
#s(approx (* a (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2))) (neg.f64 (*.f64 a (-.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))))))))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) (neg.f64 (*.f64 a (-.f64 (*.f64 (pow.f64 b #s(literal 2 binary64)) #s(literal 1/16 binary64)) #s(literal 1/4 binary64)))))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) (neg.f64 (*.f64 a (-.f64 (fma.f64 (pow.f64 b #s(literal 2 binary64)) #s(literal 1/16 binary64) (neg.f64 (/.f64 (fma.f64 b (-.f64 (*.f64 #s(literal 1/48 binary64) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) a))) #s(literal 1/4 binary64)))))
#s(approx (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) (neg.f64 (*.f64 a (-.f64 (*.f64 (pow.f64 b #s(literal 2 binary64)) #s(literal 1/16 binary64)) #s(literal 1/4 binary64)))))
#s(approx (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) (neg.f64 (*.f64 a (-.f64 (fma.f64 (pow.f64 b #s(literal 2 binary64)) #s(literal 1/16 binary64) (neg.f64 (/.f64 (*.f64 b (-.f64 (*.f64 #s(literal 1/48 binary64) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64))) a))) #s(literal 1/4 binary64)))))
#s(approx (- (* b (+ (* a -1/16) (* b 1/48))) 1/4) (neg.f64 (*.f64 a (fma.f64 b #s(literal 1/16 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) a))))))
#s(approx (* b (+ (* a -1/16) (* b 1/48))) (neg.f64 (*.f64 a (fma.f64 #s(literal -1/48 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) a) (*.f64 b #s(literal 1/16 binary64))))))
#s(approx (+ (* a -1/16) (* b 1/48)) (neg.f64 (*.f64 a (fma.f64 (/.f64 b a) #s(literal -1/48 binary64) #s(literal 1/16 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 #s(literal -1 binary64) (*.f64 b (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 b (-.f64 (neg.f64 (*.f64 b (fma.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 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))))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 b (-.f64 (*.f64 b (-.f64 (neg.f64 (*.f64 b (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 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))) (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 #s(literal 1/2 binary64) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 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))))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
#s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (+.f64 #s(literal 1/2 binary64) (fma.f64 a #s(literal 1/4 binary64) (*.f64 b #s(literal -1/4 binary64)))))
#s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (+.f64 #s(literal 1/2 binary64) (fma.f64 b (-.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 a b)) #s(literal 1/4 binary64)) (*.f64 a #s(literal 1/4 binary64)))))
#s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (+.f64 #s(literal 1/2 binary64) (fma.f64 b (-.f64 (*.f64 b (fma.f64 a #s(literal -1/16 binary64) (*.f64 b #s(literal 1/48 binary64)))) #s(literal 1/4 binary64)) (*.f64 a #s(literal 1/4 binary64)))))
#s(approx (* a (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2))) (*.f64 a (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a))))
#s(approx (* a (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2))) (fma.f64 a (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 b #s(literal -1/4 binary64))))
#s(approx (* a (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2))) (fma.f64 b (-.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 a b)) #s(literal 1/4 binary64)) (*.f64 a (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)))))
#s(approx (* a (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2))) (fma.f64 b (-.f64 (*.f64 b (fma.f64 a #s(literal -1/16 binary64) (*.f64 b #s(literal 1/48 binary64)))) #s(literal 1/4 binary64)) (*.f64 a (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)))))
#s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)))
#s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 b a) (/.f64 #s(literal 1/2 binary64) a))))
#s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) (+.f64 #s(literal 1/4 binary64) (fma.f64 b (-.f64 (*.f64 b #s(literal -1/16 binary64)) (/.f64 #s(literal 1/4 binary64) a)) (/.f64 #s(literal 1/2 binary64) a))))
#s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) (+.f64 #s(literal 1/4 binary64) (fma.f64 b (-.f64 (*.f64 b (-.f64 (/.f64 (*.f64 b #s(literal 1/48 binary64)) a) #s(literal 1/16 binary64))) (/.f64 #s(literal 1/4 binary64) a)) (/.f64 #s(literal 1/2 binary64) a))))
#s(approx (/ 1 (* a (+ 1 (exp b)))) (/.f64 #s(literal 1/2 binary64) a))
#s(approx (/ 1 (* a (+ 1 (exp b)))) (fma.f64 #s(literal -1/4 binary64) (/.f64 b a) (/.f64 #s(literal 1/2 binary64) a)))
#s(approx (/ 1 (* a (+ 1 (exp b)))) (/.f64 (fma.f64 b (-.f64 (*.f64 #s(literal 1/48 binary64) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) a))
#s(approx (/ 1 (* a (+ 1 (exp b)))) (fma.f64 b (-.f64 (*.f64 (pow.f64 b #s(literal 2 binary64)) (fma.f64 (/.f64 (pow.f64 b #s(literal 2 binary64)) a) #s(literal -1/480 binary64) (/.f64 #s(literal 1/48 binary64) a))) (/.f64 #s(literal 1/4 binary64) a)) (/.f64 #s(literal 1/2 binary64) a)))
#s(approx (* a (+ 1 (exp b))) (+.f64 a a))
#s(approx (* a (+ 1 (exp b))) (fma.f64 a b (+.f64 a a)))
#s(approx (* a (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) (*.f64 a b) a) (+.f64 a a)))
#s(approx (* a (+ 1 (exp b))) (fma.f64 b (fma.f64 b (fma.f64 (*.f64 a b) #s(literal 1/6 binary64) (*.f64 a #s(literal 1/2 binary64))) a) (+.f64 a a)))
#s(approx (+ 1 (exp b)) #s(literal 2 binary64))
#s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))
#s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
#s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 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 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (exp b) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #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 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
#s(approx (/ 1 (+ (exp b) 1)) (fma.f64 b (-.f64 (*.f64 #s(literal 1/48 binary64) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
#s(approx (/ 1 (+ (exp b) 1)) (fma.f64 b (-.f64 (*.f64 (pow.f64 b #s(literal 2 binary64)) (fma.f64 (pow.f64 b #s(literal 2 binary64)) #s(literal -1/480 binary64) #s(literal 1/48 binary64))) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
#s(approx (+ (* b -1/4) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* b -1/4) 1/2) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
#s(approx (* b -1/4) (*.f64 b #s(literal -1/4 binary64)))
#s(approx (* b (- (/ 1/2 b) 1/4)) #s(literal 1/2 binary64))
#s(approx (* b (- (/ 1/2 b) 1/4)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
#s(approx (- (/ 1/2 b) 1/4) (/.f64 #s(literal 1/2 binary64) b))
#s(approx (- (/ 1/2 b) 1/4) (/.f64 (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)) b))
#s(approx (/ 1/2 b) (/.f64 #s(literal 1/2 binary64) b))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) (+.f64 #s(literal 1/2 binary64) (fma.f64 a #s(literal 1/4 binary64) (*.f64 b #s(literal -1/4 binary64)))))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) (+.f64 #s(literal 1/2 binary64) (fma.f64 b (-.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 a b)) #s(literal 1/4 binary64)) (*.f64 a #s(literal 1/4 binary64)))))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) (+.f64 #s(literal 1/2 binary64) (fma.f64 b (-.f64 (*.f64 b (fma.f64 a #s(literal -1/16 binary64) (*.f64 b #s(literal 1/48 binary64)))) #s(literal 1/4 binary64)) (*.f64 a #s(literal 1/4 binary64)))))
#s(approx (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) (*.f64 a #s(literal 1/4 binary64)))
#s(approx (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) (fma.f64 a #s(literal 1/4 binary64) (*.f64 b #s(literal -1/4 binary64))))
#s(approx (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) (fma.f64 b (-.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 a b)) #s(literal 1/4 binary64)) (*.f64 a #s(literal 1/4 binary64))))
#s(approx (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) (fma.f64 b (-.f64 (*.f64 b (fma.f64 a #s(literal -1/16 binary64) (*.f64 b #s(literal 1/48 binary64)))) #s(literal 1/4 binary64)) (*.f64 a #s(literal 1/4 binary64))))
#s(approx (- (* b (+ (* a -1/16) (* b 1/48))) 1/4) #s(literal -1/4 binary64))
#s(approx (- (* b (+ (* a -1/16) (* b 1/48))) 1/4) (-.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 a b)) #s(literal 1/4 binary64)))
#s(approx (- (* b (+ (* a -1/16) (* b 1/48))) 1/4) (-.f64 (*.f64 b (fma.f64 a #s(literal -1/16 binary64) (*.f64 b #s(literal 1/48 binary64)))) #s(literal 1/4 binary64)))
#s(approx (* b (+ (* a -1/16) (* b 1/48))) (*.f64 b (fma.f64 a #s(literal -1/16 binary64) (*.f64 b #s(literal 1/48 binary64)))))
#s(approx (* b 1/48) (*.f64 b #s(literal 1/48 binary64)))
#s(approx (* a (+ (* -1/16 (pow b 2)) 1/4)) (*.f64 a #s(literal 1/4 binary64)))
#s(approx (* a (+ (* -1/16 (pow b 2)) 1/4)) (fma.f64 #s(literal -1/16 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64))) (*.f64 a #s(literal 1/4 binary64))))
#s(approx (+ (* -1/16 (pow b 2)) 1/4) #s(literal 1/4 binary64))
#s(approx (+ (* -1/16 (pow b 2)) 1/4) (fma.f64 #s(literal -1/16 binary64) (pow.f64 b #s(literal 2 binary64)) #s(literal 1/4 binary64)))
#s(approx (pow b 2) (pow.f64 b #s(literal 2 binary64)))
#s(approx (+ 1 (exp b)) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
#s(approx (exp b) (exp.f64 b))
#s(approx (/ 1 (+ (exp b) 1)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
#s(approx (+ (* b -1/4) 1/2) (*.f64 b #s(literal -1/4 binary64)))
#s(approx (+ (* b -1/4) 1/2) (*.f64 b (-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/4 binary64))))
#s(approx (* b (- (/ 1/2 b) 1/4)) (*.f64 b #s(literal -1/4 binary64)))
#s(approx (* b (- (/ 1/2 b) 1/4)) (*.f64 b (-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/4 binary64))))
#s(approx (- (/ 1/2 b) 1/4) #s(literal -1/4 binary64))
#s(approx (- (/ 1/2 b) 1/4) (-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/4 binary64)))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) (*.f64 #s(literal 1/48 binary64) (pow.f64 b #s(literal 3 binary64))))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) (*.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 #s(literal -1/16 binary64) (/.f64 a b) #s(literal 1/48 binary64))))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) (*.f64 (pow.f64 b #s(literal 3 binary64)) (-.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 a b) #s(literal 1/48 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 b #s(literal 2 binary64))))))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) (*.f64 (pow.f64 b #s(literal 3 binary64)) (-.f64 (+.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 a b) #s(literal 1/48 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal -3 binary64)) (/.f64 (*.f64 a #s(literal 1/4 binary64)) (pow.f64 b #s(literal 3 binary64))))) (/.f64 #s(literal 1/4 binary64) (pow.f64 b #s(literal 2 binary64))))))
#s(approx (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) (*.f64 #s(literal 1/48 binary64) (pow.f64 b #s(literal 3 binary64))))
#s(approx (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) (*.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 #s(literal -1/16 binary64) (/.f64 a b) #s(literal 1/48 binary64))))
#s(approx (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) (*.f64 (pow.f64 b #s(literal 3 binary64)) (-.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 a b) #s(literal 1/48 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 b #s(literal 2 binary64))))))
#s(approx (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) (*.f64 (pow.f64 b #s(literal 3 binary64)) (-.f64 (+.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 a b) #s(literal 1/48 binary64)) (/.f64 (*.f64 a #s(literal 1/4 binary64)) (pow.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1/4 binary64) (pow.f64 b #s(literal 2 binary64))))))
#s(approx (- (* b (+ (* a -1/16) (* b 1/48))) 1/4) (*.f64 #s(literal 1/48 binary64) (pow.f64 b #s(literal 2 binary64))))
#s(approx (- (* b (+ (* a -1/16) (* b 1/48))) 1/4) (*.f64 (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal -1/16 binary64) (/.f64 a b) #s(literal 1/48 binary64))))
#s(approx (- (* b (+ (* a -1/16) (* b 1/48))) 1/4) (*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 a b) #s(literal 1/48 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 b #s(literal 2 binary64))))))
#s(approx (* b (+ (* a -1/16) (* b 1/48))) (*.f64 (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal -1/16 binary64) (/.f64 a b) #s(literal 1/48 binary64))))
#s(approx (+ (* a -1/16) (* b 1/48)) (*.f64 b (fma.f64 #s(literal -1/16 binary64) (/.f64 a b) #s(literal 1/48 binary64))))
#s(approx (* a (+ (* -1/16 (pow b 2)) 1/4)) (*.f64 #s(literal -1/16 binary64) (*.f64 a (pow.f64 b #s(literal 2 binary64)))))
#s(approx (* a (+ (* -1/16 (pow b 2)) 1/4)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (/.f64 a (pow.f64 b #s(literal 2 binary64))) (*.f64 a #s(literal -1/16 binary64)))))
#s(approx (+ (* -1/16 (pow b 2)) 1/4) (*.f64 #s(literal -1/16 binary64) (pow.f64 b #s(literal 2 binary64))))
#s(approx (+ (* -1/16 (pow b 2)) 1/4) (*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/16 binary64))))
#s(approx (+ (* b -1/4) 1/2) (neg.f64 (*.f64 b (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) b)))))
#s(approx (* b (- (/ 1/2 b) 1/4)) (neg.f64 (*.f64 b (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) b)))))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) (neg.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) (-.f64 (/.f64 (*.f64 a #s(literal 1/16 binary64)) b) #s(literal 1/48 binary64)))))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) (neg.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) (-.f64 (neg.f64 (/.f64 (-.f64 (*.f64 a #s(literal -1/16 binary64)) (/.f64 #s(literal 1/4 binary64) b)) b)) #s(literal 1/48 binary64)))))
#s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) (neg.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) (-.f64 (neg.f64 (/.f64 (fma.f64 a #s(literal -1/16 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) b) #s(literal 1/4 binary64)) b))) b)) #s(literal 1/48 binary64)))))
#s(approx (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) (neg.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) (-.f64 (/.f64 (*.f64 a #s(literal 1/16 binary64)) b) #s(literal 1/48 binary64)))))
#s(approx (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) (neg.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) (-.f64 (neg.f64 (/.f64 (-.f64 (*.f64 a #s(literal -1/16 binary64)) (/.f64 #s(literal 1/4 binary64) b)) b)) #s(literal 1/48 binary64)))))
#s(approx (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4)) (neg.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) (-.f64 (neg.f64 (/.f64 (fma.f64 a #s(literal -1/16 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 a b) #s(literal 1/4 binary64)) b))) b)) #s(literal 1/48 binary64)))))
#s(approx (- (* b (+ (* a -1/16) (* b 1/48))) 1/4) (*.f64 (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 a #s(literal 1/16 binary64) (/.f64 #s(literal 1/4 binary64) b)) b) #s(literal 1/48 binary64))))
#s(approx (+ (* a -1/16) (* b 1/48)) (neg.f64 (*.f64 b (-.f64 (/.f64 (*.f64 a #s(literal 1/16 binary64)) b) #s(literal 1/48 binary64)))))

eval38.0ms (0.6%)

Memory
-5.4MiB live, 87.2MiB allocated; 10ms collecting garbage
Compiler

Compiled 16 223 to 1 477 computations (90.9% saved)

prune62.0ms (1%)

Memory
6.8MiB live, 63.7MiB allocated; 52ms collecting garbage
Pruning

24 alts after pruning (15 fresh and 9 done)

PrunedKeptTotal
New2787285
Fresh088
Picked145
Done055
Total27924303
Accuracy
99.7%
Counts
303 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.4%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
61.9%
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
61.5%
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
87.1%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
52.5%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
48.3%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
47.7%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 b #s(approx (+ (* b 1/2) 1) (*.f64 b #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
34.7%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 b #s(literal 2 binary64)))))
34.7%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
34.6%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* b -1/4) 1/2) (*.f64 b (-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/4 binary64))))))
37.4%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* b -1/4) 1/2) (*.f64 b #s(approx (- (/ 1/2 b) 1/4) (/.f64 #s(literal 1/2 binary64) b))))))
4.0%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* b -1/4) 1/2) (*.f64 b #s(literal -1/4 binary64)))))
37.5%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
37.5%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
33.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (+.f64 #s(literal 1/2 binary64) (fma.f64 b (-.f64 (*.f64 b #s(approx (+ (* a -1/16) (* b 1/48)) (*.f64 b #s(literal 1/48 binary64)))) #s(literal 1/4 binary64)) (*.f64 a #s(literal 1/4 binary64))))))
86.9%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (*.f64 a #s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) (/.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))))))))
56.1%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (*.f64 a #s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))))))
51.9%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (*.f64 a #s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))))))
41.1%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (*.f64 a #s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))))))
56.0%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (*.f64 a #s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) (/.f64 #s(literal 1 binary64) #s(approx (* a (+ 1 (exp b))) (fma.f64 b (fma.f64 b (fma.f64 (*.f64 a b) #s(literal 1/6 binary64) (*.f64 a #s(literal 1/2 binary64))) a) (+.f64 a a))))))))
37.4%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (*.f64 a #s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) #s(approx (/ 1 (* a (+ 1 (exp b)))) (/.f64 #s(literal 1/2 binary64) a))))))
3.7%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) #s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) (*.f64 a #s(approx (+ (* -1/16 (pow b 2)) 1/4) #s(literal 1/4 binary64))))))
9.0%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) #s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) (*.f64 #s(literal 1/48 binary64) (pow.f64 b #s(literal 3 binary64))))))
34.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) #s(approx (* a (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2))) (fma.f64 a (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 b #s(literal -1/4 binary64))))))
Compiler

Compiled 2 106 to 757 computations (64.1% saved)

regimes41.0ms (0.7%)

Memory
-16.5MiB live, 77.2MiB allocated; 13ms collecting garbage
Counts
29 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) #s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) (*.f64 a #s(approx (+ (* -1/16 (pow b 2)) 1/4) #s(literal 1/4 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* b -1/4) 1/2) (*.f64 b #s(literal -1/4 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (*.f64 a #s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) #s(approx (/ 1 (* a (+ 1 (exp b)))) (/.f64 #s(literal 1/2 binary64) a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* b -1/4) 1/2) (*.f64 b #s(approx (- (/ 1/2 b) 1/4) (/.f64 #s(literal 1/2 binary64) b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* b -1/4) 1/2) (*.f64 b (-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/4 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 b #s(approx (+ (* b 1/2) 1) (*.f64 b #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (*.f64 a #s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) #s(approx (* a (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2))) (fma.f64 a (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 b #s(literal -1/4 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (+.f64 #s(literal 1/2 binary64) (fma.f64 b (-.f64 (*.f64 b #s(approx (+ (* a -1/16) (* b 1/48)) (*.f64 b #s(literal 1/48 binary64)))) #s(literal 1/4 binary64)) (*.f64 a #s(literal 1/4 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (*.f64 a #s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (+.f64 #s(literal 1/2 binary64) (fma.f64 b (-.f64 (*.f64 b (fma.f64 a #s(literal -1/16 binary64) (*.f64 b #s(literal 1/48 binary64)))) #s(literal 1/4 binary64)) (*.f64 a #s(literal 1/4 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (*.f64 a #s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (*.f64 a #s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) (/.f64 #s(literal 1 binary64) #s(approx (* a (+ 1 (exp b))) (fma.f64 b (fma.f64 b (fma.f64 (*.f64 a b) #s(literal 1/6 binary64) (*.f64 a #s(literal 1/2 binary64))) a) (+.f64 a a))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) #s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) (*.f64 #s(literal 1/48 binary64) (pow.f64 b #s(literal 3 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) #s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) (*.f64 a (fma.f64 #s(literal -1/16 binary64) (pow.f64 b #s(literal 2 binary64)) #s(literal 1/4 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))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (*.f64 a #s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) (/.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))))))))
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (*.f64 a (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a)) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))))
Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Calls

5 calls:

12.0ms
b
8.0ms
(exp.f64 a)
8.0ms
a
6.0ms
(exp.f64 b)
6.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Results
AccuracySegmentsBranch
98.8%1(exp.f64 b)
98.8%1(exp.f64 a)
98.8%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
98.8%1a
98.8%1b
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes38.0ms (0.6%)

Memory
-19.8MiB live, 75.9MiB allocated; 14ms collecting garbage
Counts
26 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) #s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) (*.f64 a #s(approx (+ (* -1/16 (pow b 2)) 1/4) #s(literal 1/4 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* b -1/4) 1/2) (*.f64 b #s(literal -1/4 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (*.f64 a #s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) #s(approx (/ 1 (* a (+ 1 (exp b)))) (/.f64 #s(literal 1/2 binary64) a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* b -1/4) 1/2) (*.f64 b #s(approx (- (/ 1/2 b) 1/4) (/.f64 #s(literal 1/2 binary64) b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* b -1/4) 1/2) (*.f64 b (-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/4 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 b #s(approx (+ (* b 1/2) 1) (*.f64 b #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (*.f64 a #s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) #s(approx (* a (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2))) (fma.f64 a (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 b #s(literal -1/4 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (+.f64 #s(literal 1/2 binary64) (fma.f64 b (-.f64 (*.f64 b #s(approx (+ (* a -1/16) (* b 1/48)) (*.f64 b #s(literal 1/48 binary64)))) #s(literal 1/4 binary64)) (*.f64 a #s(literal 1/4 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (*.f64 a #s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (+.f64 #s(literal 1/2 binary64) (fma.f64 b (-.f64 (*.f64 b (fma.f64 a #s(literal -1/16 binary64) (*.f64 b #s(literal 1/48 binary64)))) #s(literal 1/4 binary64)) (*.f64 a #s(literal 1/4 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (*.f64 a #s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (*.f64 a #s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) (/.f64 #s(literal 1 binary64) #s(approx (* a (+ 1 (exp b))) (fma.f64 b (fma.f64 b (fma.f64 (*.f64 a b) #s(literal 1/6 binary64) (*.f64 a #s(literal 1/2 binary64))) a) (+.f64 a a))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) #s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) (*.f64 #s(literal 1/48 binary64) (pow.f64 b #s(literal 3 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) #s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) (*.f64 a (fma.f64 #s(literal -1/16 binary64) (pow.f64 b #s(literal 2 binary64)) #s(literal 1/4 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))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (*.f64 a #s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) (/.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))))))))
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
Calls

5 calls:

10.0ms
a
9.0ms
(exp.f64 b)
7.0ms
b
5.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
5.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
99.2%3(exp.f64 b)
98.7%2(exp.f64 a)
87.1%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
98.7%2a
99.2%3b
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes13.0ms (0.2%)

Memory
26.6MiB live, 26.6MiB allocated; 0ms collecting garbage
Counts
25 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) #s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) (*.f64 a #s(approx (+ (* -1/16 (pow b 2)) 1/4) #s(literal 1/4 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* b -1/4) 1/2) (*.f64 b #s(literal -1/4 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (*.f64 a #s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) #s(approx (/ 1 (* a (+ 1 (exp b)))) (/.f64 #s(literal 1/2 binary64) a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* b -1/4) 1/2) (*.f64 b #s(approx (- (/ 1/2 b) 1/4) (/.f64 #s(literal 1/2 binary64) b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* b -1/4) 1/2) (*.f64 b (-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/4 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 b #s(approx (+ (* b 1/2) 1) (*.f64 b #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (*.f64 a #s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) #s(approx (* a (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2))) (fma.f64 a (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 b #s(literal -1/4 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (+.f64 #s(literal 1/2 binary64) (fma.f64 b (-.f64 (*.f64 b #s(approx (+ (* a -1/16) (* b 1/48)) (*.f64 b #s(literal 1/48 binary64)))) #s(literal 1/4 binary64)) (*.f64 a #s(literal 1/4 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (*.f64 a #s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (+.f64 #s(literal 1/2 binary64) (fma.f64 b (-.f64 (*.f64 b (fma.f64 a #s(literal -1/16 binary64) (*.f64 b #s(literal 1/48 binary64)))) #s(literal 1/4 binary64)) (*.f64 a #s(literal 1/4 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (*.f64 a #s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (*.f64 a #s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) (/.f64 #s(literal 1 binary64) #s(approx (* a (+ 1 (exp b))) (fma.f64 b (fma.f64 b (fma.f64 (*.f64 a b) #s(literal 1/6 binary64) (*.f64 a #s(literal 1/2 binary64))) a) (+.f64 a a))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) #s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) (*.f64 #s(literal 1/48 binary64) (pow.f64 b #s(literal 3 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) #s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) (*.f64 a (fma.f64 #s(literal -1/16 binary64) (pow.f64 b #s(literal 2 binary64)) #s(literal 1/4 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))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (*.f64 a #s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) (/.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))))))))
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
Outputs
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
Calls

2 calls:

7.0ms
a
5.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
98.4%2(exp.f64 a)
98.4%2a
Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes31.0ms (0.5%)

Memory
-12.2MiB live, 81.0MiB allocated; 6ms collecting garbage
Counts
22 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) #s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) (*.f64 a #s(approx (+ (* -1/16 (pow b 2)) 1/4) #s(literal 1/4 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* b -1/4) 1/2) (*.f64 b #s(literal -1/4 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (*.f64 a #s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) #s(approx (/ 1 (* a (+ 1 (exp b)))) (/.f64 #s(literal 1/2 binary64) a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* b -1/4) 1/2) (*.f64 b #s(approx (- (/ 1/2 b) 1/4) (/.f64 #s(literal 1/2 binary64) b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* b -1/4) 1/2) (*.f64 b (-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/4 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 b #s(approx (+ (* b 1/2) 1) (*.f64 b #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (*.f64 a #s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) #s(approx (* a (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2))) (fma.f64 a (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 b #s(literal -1/4 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (+.f64 #s(literal 1/2 binary64) (fma.f64 b (-.f64 (*.f64 b #s(approx (+ (* a -1/16) (* b 1/48)) (*.f64 b #s(literal 1/48 binary64)))) #s(literal 1/4 binary64)) (*.f64 a #s(literal 1/4 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (*.f64 a #s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (+.f64 #s(literal 1/2 binary64) (fma.f64 b (-.f64 (*.f64 b (fma.f64 a #s(literal -1/16 binary64) (*.f64 b #s(literal 1/48 binary64)))) #s(literal 1/4 binary64)) (*.f64 a #s(literal 1/4 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (*.f64 a #s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (*.f64 a #s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) (/.f64 #s(literal 1 binary64) #s(approx (* a (+ 1 (exp b))) (fma.f64 b (fma.f64 b (fma.f64 (*.f64 a b) #s(literal 1/6 binary64) (*.f64 a #s(literal 1/2 binary64))) a) (+.f64 a a))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) #s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) (*.f64 #s(literal 1/48 binary64) (pow.f64 b #s(literal 3 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) #s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) (*.f64 a (fma.f64 #s(literal -1/16 binary64) (pow.f64 b #s(literal 2 binary64)) #s(literal 1/4 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:

8.0ms
a
6.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
6.0ms
b
5.0ms
(exp.f64 a)
4.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
87.1%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
87.1%1(exp.f64 b)
87.1%1b
87.1%1(exp.f64 a)
87.1%1a
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes28.0ms (0.4%)

Memory
30.0MiB live, 76.7MiB allocated; 3ms collecting garbage
Counts
21 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) #s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) (*.f64 a #s(approx (+ (* -1/16 (pow b 2)) 1/4) #s(literal 1/4 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* b -1/4) 1/2) (*.f64 b #s(literal -1/4 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (*.f64 a #s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) #s(approx (/ 1 (* a (+ 1 (exp b)))) (/.f64 #s(literal 1/2 binary64) a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* b -1/4) 1/2) (*.f64 b #s(approx (- (/ 1/2 b) 1/4) (/.f64 #s(literal 1/2 binary64) b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* b -1/4) 1/2) (*.f64 b (-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/4 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 b #s(approx (+ (* b 1/2) 1) (*.f64 b #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (*.f64 a #s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) #s(approx (* a (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2))) (fma.f64 a (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 b #s(literal -1/4 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (+.f64 #s(literal 1/2 binary64) (fma.f64 b (-.f64 (*.f64 b #s(approx (+ (* a -1/16) (* b 1/48)) (*.f64 b #s(literal 1/48 binary64)))) #s(literal 1/4 binary64)) (*.f64 a #s(literal 1/4 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (*.f64 a #s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (+.f64 #s(literal 1/2 binary64) (fma.f64 b (-.f64 (*.f64 b (fma.f64 a #s(literal -1/16 binary64) (*.f64 b #s(literal 1/48 binary64)))) #s(literal 1/4 binary64)) (*.f64 a #s(literal 1/4 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (*.f64 a #s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (*.f64 a #s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) (/.f64 #s(literal 1 binary64) #s(approx (* a (+ 1 (exp b))) (fma.f64 b (fma.f64 b (fma.f64 (*.f64 a b) #s(literal 1/6 binary64) (*.f64 a #s(literal 1/2 binary64))) a) (+.f64 a a))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) #s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) (*.f64 #s(literal 1/48 binary64) (pow.f64 b #s(literal 3 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) #s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) (*.f64 a (fma.f64 #s(literal -1/16 binary64) (pow.f64 b #s(literal 2 binary64)) #s(literal 1/4 binary64))))))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (*.f64 a #s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
Calls

5 calls:

8.0ms
a
6.0ms
b
4.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms
(exp.f64 b)
4.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
59.9%2(exp.f64 b)
56.1%1(exp.f64 a)
59.9%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
56.1%1a
59.9%2b
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes27.0ms (0.4%)

Memory
-14.2MiB live, 82.7MiB allocated; 9ms collecting garbage
Counts
17 → 3
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) #s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) (*.f64 a #s(approx (+ (* -1/16 (pow b 2)) 1/4) #s(literal 1/4 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* b -1/4) 1/2) (*.f64 b #s(literal -1/4 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (*.f64 a #s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) #s(approx (/ 1 (* a (+ 1 (exp b)))) (/.f64 #s(literal 1/2 binary64) a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* b -1/4) 1/2) (*.f64 b #s(approx (- (/ 1/2 b) 1/4) (/.f64 #s(literal 1/2 binary64) b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* b -1/4) 1/2) (*.f64 b (-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/4 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 b #s(approx (+ (* b 1/2) 1) (*.f64 b #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (*.f64 a #s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) #s(approx (* a (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2))) (fma.f64 a (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 b #s(literal -1/4 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (+.f64 #s(literal 1/2 binary64) (fma.f64 b (-.f64 (*.f64 b #s(approx (+ (* a -1/16) (* b 1/48)) (*.f64 b #s(literal 1/48 binary64)))) #s(literal 1/4 binary64)) (*.f64 a #s(literal 1/4 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (*.f64 a #s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (+.f64 #s(literal 1/2 binary64) (fma.f64 b (-.f64 (*.f64 b (fma.f64 a #s(literal -1/16 binary64) (*.f64 b #s(literal 1/48 binary64)))) #s(literal 1/4 binary64)) (*.f64 a #s(literal 1/4 binary64))))))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (*.f64 a #s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
Calls

5 calls:

7.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
5.0ms
(exp.f64 a)
5.0ms
b
5.0ms
a
4.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
55.4%2a
55.4%2(exp.f64 a)
56.3%2(exp.f64 b)
59.0%3b
56.3%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes10.0ms (0.2%)

Memory
-11.1MiB live, 35.7MiB allocated; 2ms collecting garbage
Counts
15 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) #s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) (*.f64 a #s(approx (+ (* -1/16 (pow b 2)) 1/4) #s(literal 1/4 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* b -1/4) 1/2) (*.f64 b #s(literal -1/4 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (*.f64 a #s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) #s(approx (/ 1 (* a (+ 1 (exp b)))) (/.f64 #s(literal 1/2 binary64) a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* b -1/4) 1/2) (*.f64 b #s(approx (- (/ 1/2 b) 1/4) (/.f64 #s(literal 1/2 binary64) b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* b -1/4) 1/2) (*.f64 b (-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/4 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 b #s(approx (+ (* b 1/2) 1) (*.f64 b #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (*.f64 a #s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) #s(approx (* a (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2))) (fma.f64 a (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 b #s(literal -1/4 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (+.f64 #s(literal 1/2 binary64) (fma.f64 b (-.f64 (*.f64 b #s(approx (+ (* a -1/16) (* b 1/48)) (*.f64 b #s(literal 1/48 binary64)))) #s(literal 1/4 binary64)) (*.f64 a #s(literal 1/4 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #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 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
Calls

2 calls:

6.0ms
b
3.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Results
AccuracySegmentsBranch
56.3%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
56.3%2b
Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes20.0ms (0.3%)

Memory
26.8MiB live, 73.8MiB allocated; 2ms collecting garbage
Counts
14 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) #s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) (*.f64 a #s(approx (+ (* -1/16 (pow b 2)) 1/4) #s(literal 1/4 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* b -1/4) 1/2) (*.f64 b #s(literal -1/4 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (*.f64 a #s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) #s(approx (/ 1 (* a (+ 1 (exp b)))) (/.f64 #s(literal 1/2 binary64) a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* b -1/4) 1/2) (*.f64 b #s(approx (- (/ 1/2 b) 1/4) (/.f64 #s(literal 1/2 binary64) b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* b -1/4) 1/2) (*.f64 b (-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/4 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 b #s(approx (+ (* b 1/2) 1) (*.f64 b #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (*.f64 a #s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) #s(approx (* a (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2))) (fma.f64 a (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 b #s(literal -1/4 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (+.f64 #s(literal 1/2 binary64) (fma.f64 b (-.f64 (*.f64 b #s(approx (+ (* a -1/16) (* b 1/48)) (*.f64 b #s(literal 1/48 binary64)))) #s(literal 1/4 binary64)) (*.f64 a #s(literal 1/4 binary64))))))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
Calls

5 calls:

5.0ms
(exp.f64 b)
4.0ms
b
4.0ms
a
3.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
3.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
48.3%1(exp.f64 a)
50.1%2a
51.7%2(exp.f64 b)
51.7%2b
51.7%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes11.0ms (0.2%)

Memory
-10.8MiB live, 38.8MiB allocated; 4ms collecting garbage
Counts
10 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) #s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) (*.f64 a #s(approx (+ (* -1/16 (pow b 2)) 1/4) #s(literal 1/4 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* b -1/4) 1/2) (*.f64 b #s(literal -1/4 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (*.f64 a #s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) #s(approx (/ 1 (* a (+ 1 (exp b)))) (/.f64 #s(literal 1/2 binary64) a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* b -1/4) 1/2) (*.f64 b #s(approx (- (/ 1/2 b) 1/4) (/.f64 #s(literal 1/2 binary64) b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* b -1/4) 1/2) (*.f64 b (-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/4 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 b #s(approx (+ (* b 1/2) 1) (*.f64 b #s(literal 1/2 binary64))) #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 b #s(approx (+ (* b 1/2) 1) (*.f64 b #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
Calls

3 calls:

5.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
3.0ms
b
2.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
51.2%2(exp.f64 b)
51.2%2b
51.4%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 11 to 11 computations (0% saved)

regimes16.0ms (0.3%)

Memory
12.2MiB live, 59.1MiB allocated; 3ms collecting garbage
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) #s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) (*.f64 a #s(approx (+ (* -1/16 (pow b 2)) 1/4) #s(literal 1/4 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* b -1/4) 1/2) (*.f64 b #s(literal -1/4 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (*.f64 a #s(approx (- (/ (+ 1 (/ 1 a)) (+ 1 (exp b))) (pow (+ 1 (exp b)) -2)) #s(approx (/ 1 (* a (+ 1 (exp b)))) (/.f64 #s(literal 1/2 binary64) a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* b -1/4) 1/2) (*.f64 b #s(approx (- (/ 1/2 b) 1/4) (/.f64 #s(literal 1/2 binary64) b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* b -1/4) 1/2) (*.f64 b (-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/4 binary64))))))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
Calls

5 calls:

5.0ms
b
3.0ms
a
2.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
2.0ms
(exp.f64 a)
2.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
37.5%1(exp.f64 a)
37.5%1a
37.5%1(exp.f64 b)
37.5%1b
37.5%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes9.0ms (0.1%)

Memory
-23.1MiB live, 24.1MiB allocated; 1ms collecting garbage
Accuracy

Total -22.3b remaining (-55.7%)

Threshold costs -22.3b (-55.7%)

Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* a (- (/ 1 (+ (exp b) 1)) (pow (+ (exp b) 1) -2))) (/ 1 (+ (exp b) 1))) #s(approx (+ 1/2 (+ (* b (- (* b (+ (* a -1/16) (* b 1/48))) 1/4)) (* a 1/4))) (*.f64 a #s(approx (+ (* -1/16 (pow b 2)) 1/4) #s(literal 1/4 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* b -1/4) 1/2) (*.f64 b #s(literal -1/4 binary64)))))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
Calls

5 calls:

3.0ms
b
1.0ms
a
1.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms
(exp.f64 b)
1.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
37.5%1(exp.f64 a)
37.5%1a
37.5%1(exp.f64 b)
37.5%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
37.5%1b
Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch12.0ms (0.2%)

Memory
-12.0MiB live, 34.9MiB allocated; 2ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
11.0ms
-3.514699277656669
-0.11511088288860394
Samples
7.0ms112×0valid
Compiler

Compiled 186 to 158 computations (15.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-exp: 3.0ms (69.4% of total)
ival-div: 1.0ms (23.1% of total)
ival-add: 1.0ms (23.1% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch8.0ms (0.1%)

Memory
25.0MiB live, 25.0MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
7.0ms
-3.514699277656669
-0.11511088288860394
Samples
4.0ms80×0valid
Compiler

Compiled 200 to 172 computations (14% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-exp: 1.0ms (42.2% of total)
ival-div: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.5000009507595685
1.0
Compiler

Compiled 11 to 11 computations (0% saved)

bsearch37.0ms (0.6%)

Memory
5.8MiB live, 54.4MiB allocated; 26ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
9.0ms
1.3730036035962019e+91
1.7706057163436788e+92
26.0ms
-1330.6978154363885
-8.455719260312382
Samples
10.0ms208×0valid
Compiler

Compiled 1 170 to 645 computations (44.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-exp: 3.0ms (50.3% of total)
ival-div: 1.0ms (16.8% of total)
ival-add: 1.0ms (16.8% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.5000009507595685
1.0
Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.5000009507595685
1.0
Compiler

Compiled 11 to 11 computations (0% saved)

bsearch4.0ms (0.1%)

Memory
-41.0MiB live, 7.2MiB allocated; 3ms collecting garbage
Algorithm
left-value
Stop Event
fuel
Steps
TimeLeftRight
0.0ms
0.4855794113489322
0.49807143530246
Compiler

Compiled 545 to 108 computations (80.2% saved)

preprocess548.0ms (8.7%)

Memory
-302.0MiB live, 168.4MiB allocated; 864ms collecting garbage
Compiler

Compiled 1 100 to 220 computations (80% saved)

end0.0ms (0%)

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

Profiling

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