Quotient of sum of exps

Time bar (total: 4.2s)

start0.0ms (0%)

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

analyze5.0ms (0.1%)

Memory
7.7MiB live, 7.7MiB allocated; 0ms collecting garbage
Algorithm
1×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)

sample916.0ms (21.7%)

Memory
25.2MiB live, 1 246.6MiB allocated; 206ms collecting garbage
Samples
447.0ms8 256×0valid
128.0ms2 846×0exit
Precisions
Click to see histograms. Total time spent on operations: 310.0ms
ival-exp: 222.0ms (71.6% of total)
ival-div!: 51.0ms (16.4% of total)
ival-add!: 34.0ms (11% of total)
adjust: 2.0ms (0.6% of total)
Bogosity

explain1.3s (30.9%)

Memory
-292.8MiB live, 161.4MiB allocated; 1.8s collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
20-0-(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
00-0-(+.f64 (exp.f64 a) (exp.f64 b))
00-0-a
00-0-(exp.f64 b)
00-0-b
00-0-(exp.f64 a)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))o/o10
↳(exp.f64 a)overflow1
↳(+.f64 (exp.f64 a) (exp.f64 b))overflow62
↳(exp.f64 a)overflow1
↳(exp.f64 b)overflow61
/.f64(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))u/u10
↳(exp.f64 a)underflow61
↳(+.f64 (exp.f64 a) (exp.f64 b))underflow1
↳(exp.f64 a)underflow61
↳(exp.f64 b)underflow57
Confusion
Predicted +Predicted -
+20
-0254
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+200
-00254
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0254
12
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
43.0ms512×0valid
Compiler

Compiled 50 to 22 computations (56% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-exp: 27.0ms (88.3% of total)
ival-div!: 2.0ms (6.5% of total)
ival-add!: 1.0ms (3.3% of total)
adjust: 0.0ms (0% of total)

preprocess33.0ms (0.8%)

Memory
-27.2MiB live, 21.5MiB allocated; 2ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01856
14656
214756
356351
4326051
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.2%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 16 to 12 computations (25% saved)

series7.0ms (0.2%)

Memory
10.7MiB live, 10.7MiB allocated; 0ms collecting garbage
Counts
6 → 30
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(exp.f64 a)
a
(+.f64 (exp.f64 a) (exp.f64 b))
(exp.f64 b)
b
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (exp a) #s(hole binary64 1))
#s(approx (exp a) #s(hole binary64 (+ 1 a)))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx a #s(hole binary64 a))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ (exp a) (exp b)))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (exp b) #s(hole binary64 1))
#s(approx (exp b) #s(hole binary64 (+ 1 b)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx b #s(hole binary64 b))
#s(approx (exp b) #s(hole binary64 (exp b)))
Calls

6 calls:

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

rewrite193.0ms (4.6%)

Memory
8.5MiB live, 191.3MiB allocated; 59ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

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

eval6.0ms (0.1%)

Memory
9.8MiB live, 9.8MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 257 to 266 computations (78.8% saved)

prune4.0ms (0.1%)

Memory
6.8MiB live, 6.8MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New53558
Fresh000
Picked101
Done000
Total54559
Accuracy
100.0%
Counts
59 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶75.4%
(/.f64 (exp.f64 a) (/.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64))) (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (exp.f64 (+.f64 a b))))))
▶65.7%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
▶84.4%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))))
▶63.7%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (neg.f64 b) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
▶83.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))
Compiler

Compiled 218 to 136 computations (37.6% saved)

series134.0ms (3.2%)

Memory
-0.8MiB live, 88.4MiB allocated; 11ms collecting garbage
Counts
38 → 189
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64)))
(pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))
(-.f64 (exp.f64 b) #s(literal -1 binary64))
(exp.f64 b)
b
#s(literal -1 binary64)
(pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))
#s(literal -2 binary64)
a
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(exp.f64 a)
(+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))
#s(approx (exp b) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (neg.f64 b) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
(fma.f64 (neg.f64 b) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(neg.f64 b)
(exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))
(-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))
(*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))
(log1p.f64 (exp.f64 a))
#s(literal 2 binary64)
(/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64)))
(-.f64 (exp.f64 a) #s(literal -1 binary64))
(/.f64 (exp.f64 a) (/.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64))) (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (exp.f64 (+.f64 a b))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64))) (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (exp.f64 (+.f64 a b)))))
(+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64)))
(pow.f64 (exp.f64 a) #s(literal 3 binary64))
#s(literal 3 binary64)
(pow.f64 (exp.f64 b) #s(literal 3 binary64))
(fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (exp.f64 (+.f64 a b))))
(-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (exp.f64 (+.f64 a b)))
(pow.f64 (exp.f64 b) #s(literal 2 binary64))
(exp.f64 (+.f64 a b))
(+.f64 a b)
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx a #s(hole binary64 a))
#s(approx (exp a) #s(hole binary64 1))
#s(approx (exp a) #s(hole binary64 (+ 1 a)))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (* -1 (* b (exp (neg (* 2 (log 2)))))))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* -1 (* b (exp (neg (* 2 (log 2)))))) (* 1/4 a)))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* -1 (* b (exp (neg (* 2 (log 2)))))) (* a (+ 1/4 (* 1/4 (* a (* b (exp (neg (* 2 (log 2)))))))))))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* -1 (* b (exp (neg (* 2 (log 2)))))) (* a (+ 1/4 (* a (+ (* -1/48 a) (* 1/4 (* b (exp (neg (* 2 (log 2))))))))))))))
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) #s(hole binary64 (exp (neg (* 2 (log 2))))))
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) #s(hole binary64 (+ (exp (neg (* 2 (log 2)))) (* -1/4 (* (pow a 2) (exp (neg (* 2 (log 2)))))))))
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) #s(hole binary64 (+ (exp (neg (* 2 (log 2)))) (* (pow a 2) (+ (* -1/4 (exp (neg (* 2 (log 2))))) (* 1/24 (* (pow a 2) (exp (neg (* 2 (log 2)))))))))))
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) #s(hole binary64 (+ (exp (neg (* 2 (log 2)))) (* (pow a 2) (+ (* -1/4 (exp (neg (* 2 (log 2))))) (* (pow a 2) (+ (* -17/2880 (* (pow a 2) (exp (neg (* 2 (log 2)))))) (* 1/24 (exp (neg (* 2 (log 2))))))))))))
#s(approx (- a (* (log (+ 1 (exp a))) 2)) #s(hole binary64 (* -2 (log 2))))
#s(approx (- a (* (log (+ 1 (exp a))) 2)) #s(hole binary64 (- (* -1/4 (pow a 2)) (* 2 (log 2)))))
#s(approx (- a (* (log (+ 1 (exp a))) 2)) #s(hole binary64 (- (* (pow a 2) (- (* 1/96 (pow a 2)) 1/4)) (* 2 (log 2)))))
#s(approx (- a (* (log (+ 1 (exp a))) 2)) #s(hole binary64 (- (* (pow a 2) (- (* (pow a 2) (+ 1/96 (* -1/1440 (pow a 2)))) 1/4)) (* 2 (log 2)))))
#s(approx (* (log (+ 1 (exp a))) 2) #s(hole binary64 (* 2 (log 2))))
#s(approx (* (log (+ 1 (exp a))) 2) #s(hole binary64 (+ a (* 2 (log 2)))))
#s(approx (* (log (+ 1 (exp a))) 2) #s(hole binary64 (+ (* 2 (log 2)) (* a (+ 1 (* 1/4 a))))))
#s(approx (* (log (+ 1 (exp a))) 2) #s(hole binary64 (+ (* 2 (log 2)) (* a (+ 1 (* a (+ 1/4 (* -1/96 (pow a 2)))))))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* 1/2 a))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* 1/8 a))))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))))
#s(approx (/ (exp a) (- (exp a) -1)) #s(hole binary64 1/2))
#s(approx (/ (exp a) (- (exp a) -1)) #s(hole binary64 (+ 1/2 (* 1/4 a))))
#s(approx (/ (exp a) (- (exp a) -1)) #s(hole binary64 (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))))
#s(approx (/ (exp a) (- (exp a) -1)) #s(hole binary64 (+ 1/2 (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))))))
#s(approx (- (exp a) -1) #s(hole binary64 2))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 a)))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 (* a (+ 1 (* 1/2 a))))))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (/ (exp a) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))))) #s(hole binary64 (/ (- (+ 1 (pow (exp b) 2)) (exp b)) (+ 1 (pow (exp b) 3)))))
#s(approx (/ (exp a) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))))) #s(hole binary64 (- (+ (* a (- (+ (* 3 (/ 1 (+ 1 (pow (exp b) 3)))) (/ (pow (exp b) 2) (+ 1 (pow (exp b) 3)))) (+ (* 2 (/ (exp b) (+ 1 (pow (exp b) 3)))) (* 3 (/ (- (+ 1 (pow (exp b) 2)) (exp b)) (pow (+ 1 (pow (exp b) 3)) 2)))))) (+ (/ 1 (+ 1 (pow (exp b) 3))) (/ (pow (exp b) 2) (+ 1 (pow (exp b) 3))))) (/ (exp b) (+ 1 (pow (exp b) 3))))))
#s(approx (/ (exp a) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))))) #s(hole binary64 (- (+ (* a (- (+ (* 3 (/ 1 (+ 1 (pow (exp b) 3)))) (+ (* a (- (+ (* 1/2 (/ (- (+ 1 (pow (exp b) 2)) (exp b)) (+ 1 (pow (exp b) 3)))) (* 4 (/ 1 (+ 1 (pow (exp b) 3))))) (+ (* 1/2 (/ (exp b) (+ 1 (pow (exp b) 3)))) (+ (* 3 (/ (- (+ (* 3 (/ 1 (+ 1 (pow (exp b) 3)))) (/ (pow (exp b) 2) (+ 1 (pow (exp b) 3)))) (+ (* 2 (/ (exp b) (+ 1 (pow (exp b) 3)))) (* 3 (/ (- (+ 1 (pow (exp b) 2)) (exp b)) (pow (+ 1 (pow (exp b) 3)) 2))))) (+ 1 (pow (exp b) 3)))) (+ (* 9/2 (/ (- (+ 1 (pow (exp b) 2)) (exp b)) (pow (+ 1 (pow (exp b) 3)) 2))) (/ (exp b) (+ 1 (pow (exp b) 3)))))))) (/ (pow (exp b) 2) (+ 1 (pow (exp b) 3))))) (+ (* 2 (/ (exp b) (+ 1 (pow (exp b) 3)))) (* 3 (/ (- (+ 1 (pow (exp b) 2)) (exp b)) (pow (+ 1 (pow (exp b) 3)) 2)))))) (+ (/ 1 (+ 1 (pow (exp b) 3))) (/ (pow (exp b) 2) (+ 1 (pow (exp b) 3))))) (/ (exp b) (+ 1 (pow (exp b) 3))))))
#s(approx (/ (exp a) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))))) #s(hole binary64 (- (+ (* a (- (+ (* 3 (/ 1 (+ 1 (pow (exp b) 3)))) (+ (* a (- (+ (* 1/2 (/ (- (+ 1 (pow (exp b) 2)) (exp b)) (+ 1 (pow (exp b) 3)))) (+ (* 4 (/ 1 (+ 1 (pow (exp b) 3)))) (* a (- (+ (* 1/6 (/ (- (+ 1 (pow (exp b) 2)) (exp b)) (+ 1 (pow (exp b) 3)))) (+ (* 1/2 (/ (- 2 (exp b)) (+ 1 (pow (exp b) 3)))) (* 10/3 (/ 1 (+ 1 (pow (exp b) 3)))))) (+ (* 1/6 (/ (exp b) (+ 1 (pow (exp b) 3)))) (+ (* 1/2 (/ (exp b) (+ 1 (pow (exp b) 3)))) (+ (* 3 (/ (- (+ (* 1/2 (/ (- (+ 1 (pow (exp b) 2)) (exp b)) (+ 1 (pow (exp b) 3)))) (* 4 (/ 1 (+ 1 (pow (exp b) 3))))) (+ (* 1/2 (/ (exp b) (+ 1 (pow (exp b) 3)))) (+ (* 3 (/ (- (+ (* 3 (/ 1 (+ 1 (pow (exp b) 3)))) (/ (pow (exp b) 2) (+ 1 (pow (exp b) 3)))) (+ (* 2 (/ (exp b) (+ 1 (pow (exp b) 3)))) (* 3 (/ (- (+ 1 (pow (exp b) 2)) (exp b)) (pow (+ 1 (pow (exp b) 3)) 2))))) (+ 1 (pow (exp b) 3)))) (+ (* 9/2 (/ (- (+ 1 (pow (exp b) 2)) (exp b)) (pow (+ 1 (pow (exp b) 3)) 2))) (/ (exp b) (+ 1 (pow (exp b) 3))))))) (+ 1 (pow (exp b) 3)))) (+ (* 9/2 (/ (- (+ 1 (pow (exp b) 2)) (exp b)) (pow (+ 1 (pow (exp b) 3)) 2))) (* 9/2 (/ (- (+ (* 3 (/ 1 (+ 1 (pow (exp b) 3)))) (/ (pow (exp b) 2) (+ 1 (pow (exp b) 3)))) (+ (* 2 (/ (exp b) (+ 1 (pow (exp b) 3)))) (* 3 (/ (- (+ 1 (pow (exp b) 2)) (exp b)) (pow (+ 1 (pow (exp b) 3)) 2))))) (+ 1 (pow (exp b) 3)))))))))))) (+ (* 1/2 (/ (exp b) (+ 1 (pow (exp b) 3)))) (+ (* 3 (/ (- (+ (* 3 (/ 1 (+ 1 (pow (exp b) 3)))) (/ (pow (exp b) 2) (+ 1 (pow (exp b) 3)))) (+ (* 2 (/ (exp b) (+ 1 (pow (exp b) 3)))) (* 3 (/ (- (+ 1 (pow (exp b) 2)) (exp b)) (pow (+ 1 (pow (exp b) 3)) 2))))) (+ 1 (pow (exp b) 3)))) (+ (* 9/2 (/ (- (+ 1 (pow (exp b) 2)) (exp b)) (pow (+ 1 (pow (exp b) 3)) 2))) (/ (exp b) (+ 1 (pow (exp b) 3)))))))) (/ (pow (exp b) 2) (+ 1 (pow (exp b) 3))))) (+ (* 2 (/ (exp b) (+ 1 (pow (exp b) 3)))) (* 3 (/ (- (+ 1 (pow (exp b) 2)) (exp b)) (pow (+ 1 (pow (exp b) 3)) 2)))))) (+ (/ 1 (+ 1 (pow (exp b) 3))) (/ (pow (exp b) 2) (+ 1 (pow (exp b) 3))))) (/ (exp b) (+ 1 (pow (exp b) 3))))))
#s(approx (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b))))) #s(hole binary64 (/ (+ 1 (pow (exp b) 3)) (- (+ 1 (pow (exp b) 2)) (exp b)))))
#s(approx (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b))))) #s(hole binary64 (+ (* a (- (* 3 (/ 1 (- (+ 1 (pow (exp b) 2)) (exp b)))) (/ (* (+ 1 (pow (exp b) 3)) (- 2 (exp b))) (pow (- (+ 1 (pow (exp b) 2)) (exp b)) 2)))) (+ (/ 1 (- (+ 1 (pow (exp b) 2)) (exp b))) (/ (pow (exp b) 3) (- (+ 1 (pow (exp b) 2)) (exp b)))))))
#s(approx (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b))))) #s(hole binary64 (+ (* a (- (+ (* 3 (/ 1 (- (+ 1 (pow (exp b) 2)) (exp b)))) (* a (- (* 9/2 (/ 1 (- (+ 1 (pow (exp b) 2)) (exp b)))) (+ (/ (* (+ 1 (pow (exp b) 3)) (- 2 (* 1/2 (exp b)))) (pow (- (+ 1 (pow (exp b) 2)) (exp b)) 2)) (/ (* (- 2 (exp b)) (- (* 3 (/ 1 (- (+ 1 (pow (exp b) 2)) (exp b)))) (/ (* (+ 1 (pow (exp b) 3)) (- 2 (exp b))) (pow (- (+ 1 (pow (exp b) 2)) (exp b)) 2)))) (- (+ 1 (pow (exp b) 2)) (exp b))))))) (/ (* (+ 1 (pow (exp b) 3)) (- 2 (exp b))) (pow (- (+ 1 (pow (exp b) 2)) (exp b)) 2)))) (+ (/ 1 (- (+ 1 (pow (exp b) 2)) (exp b))) (/ (pow (exp b) 3) (- (+ 1 (pow (exp b) 2)) (exp b)))))))
#s(approx (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b))))) #s(hole binary64 (+ (* a (- (+ (* 3 (/ 1 (- (+ 1 (pow (exp b) 2)) (exp b)))) (* a (- (+ (* 9/2 (/ 1 (- (+ 1 (pow (exp b) 2)) (exp b)))) (* a (- (* 9/2 (/ 1 (- (+ 1 (pow (exp b) 2)) (exp b)))) (+ (/ (* (+ 1 (pow (exp b) 3)) (- 4/3 (* 1/6 (exp b)))) (pow (- (+ 1 (pow (exp b) 2)) (exp b)) 2)) (+ (/ (* (- 2 (exp b)) (- (* 9/2 (/ 1 (- (+ 1 (pow (exp b) 2)) (exp b)))) (+ (/ (* (+ 1 (pow (exp b) 3)) (- 2 (* 1/2 (exp b)))) (pow (- (+ 1 (pow (exp b) 2)) (exp b)) 2)) (/ (* (- 2 (exp b)) (- (* 3 (/ 1 (- (+ 1 (pow (exp b) 2)) (exp b)))) (/ (* (+ 1 (pow (exp b) 3)) (- 2 (exp b))) (pow (- (+ 1 (pow (exp b) 2)) (exp b)) 2)))) (- (+ 1 (pow (exp b) 2)) (exp b)))))) (- (+ 1 (pow (exp b) 2)) (exp b))) (/ (* (- 2 (* 1/2 (exp b))) (- (* 3 (/ 1 (- (+ 1 (pow (exp b) 2)) (exp b)))) (/ (* (+ 1 (pow (exp b) 3)) (- 2 (exp b))) (pow (- (+ 1 (pow (exp b) 2)) (exp b)) 2)))) (- (+ 1 (pow (exp b) 2)) (exp b)))))))) (+ (/ (* (+ 1 (pow (exp b) 3)) (- 2 (* 1/2 (exp b)))) (pow (- (+ 1 (pow (exp b) 2)) (exp b)) 2)) (/ (* (- 2 (exp b)) (- (* 3 (/ 1 (- (+ 1 (pow (exp b) 2)) (exp b)))) (/ (* (+ 1 (pow (exp b) 3)) (- 2 (exp b))) (pow (- (+ 1 (pow (exp b) 2)) (exp b)) 2)))) (- (+ 1 (pow (exp b) 2)) (exp b))))))) (/ (* (+ 1 (pow (exp b) 3)) (- 2 (exp b))) (pow (- (+ 1 (pow (exp b) 2)) (exp b)) 2)))) (+ (/ 1 (- (+ 1 (pow (exp b) 2)) (exp b))) (/ (pow (exp b) 3) (- (+ 1 (pow (exp b) 2)) (exp b)))))))
#s(approx (+ (pow (exp a) 3) (pow (exp b) 3)) #s(hole binary64 (+ 1 (pow (exp b) 3))))
#s(approx (+ (pow (exp a) 3) (pow (exp b) 3)) #s(hole binary64 (+ 1 (+ (* 3 a) (pow (exp b) 3)))))
#s(approx (+ (pow (exp a) 3) (pow (exp b) 3)) #s(hole binary64 (+ 1 (+ (* a (+ 3 (* 9/2 a))) (pow (exp b) 3)))))
#s(approx (+ (pow (exp a) 3) (pow (exp b) 3)) #s(hole binary64 (+ 1 (+ (* a (+ 3 (* a (+ 9/2 (* 9/2 a))))) (pow (exp b) 3)))))
#s(approx (pow (exp a) 3) #s(hole binary64 1))
#s(approx (pow (exp a) 3) #s(hole binary64 (+ 1 (* 3 a))))
#s(approx (pow (exp a) 3) #s(hole binary64 (+ 1 (* a (+ 3 (* 9/2 a))))))
#s(approx (pow (exp a) 3) #s(hole binary64 (+ 1 (* a (+ 3 (* a (+ 9/2 (* 9/2 a))))))))
#s(approx (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))) #s(hole binary64 (- (+ 1 (pow (exp b) 2)) (exp b))))
#s(approx (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))) #s(hole binary64 (- (+ 1 (+ (* a (- 2 (exp b))) (pow (exp b) 2))) (exp b))))
#s(approx (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))) #s(hole binary64 (- (+ 1 (+ (* a (- (+ 2 (* a (- 2 (* 1/2 (exp b))))) (exp b))) (pow (exp b) 2))) (exp b))))
#s(approx (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))) #s(hole binary64 (- (+ 1 (+ (* a (- (+ 2 (* a (- (+ 2 (* a (- 4/3 (* 1/6 (exp b))))) (* 1/2 (exp b))))) (exp b))) (pow (exp b) 2))) (exp b))))
#s(approx (- (pow (exp b) 2) (exp (+ a b))) #s(hole binary64 (- (pow (exp b) 2) (exp b))))
#s(approx (- (pow (exp b) 2) (exp (+ a b))) #s(hole binary64 (- (+ (* -1 (* a (exp b))) (pow (exp b) 2)) (exp b))))
#s(approx (- (pow (exp b) 2) (exp (+ a b))) #s(hole binary64 (- (+ (* a (- (* -1/2 (* a (exp b))) (exp b))) (pow (exp b) 2)) (exp b))))
#s(approx (- (pow (exp b) 2) (exp (+ a b))) #s(hole binary64 (- (+ (* a (- (* a (- (* -1/6 (* a (exp b))) (* 1/2 (exp b)))) (exp b))) (pow (exp b) 2)) (exp b))))
#s(approx (exp (+ a b)) #s(hole binary64 (exp b)))
#s(approx (exp (+ a b)) #s(hole binary64 (+ (exp b) (* a (exp b)))))
#s(approx (exp (+ a b)) #s(hole binary64 (+ (exp b) (* a (+ (exp b) (* 1/2 (* a (exp b))))))))
#s(approx (exp (+ a b)) #s(hole binary64 (+ (exp b) (* a (+ (exp b) (* a (+ (* 1/6 (* a (exp b))) (* 1/2 (exp b)))))))))
#s(approx (+ a b) #s(hole binary64 b))
#s(approx (+ a b) #s(hole binary64 (+ a b)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ (exp a) (exp b)))))
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) #s(hole binary64 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))))
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) #s(hole binary64 (* a (- (+ (/ 1 (* a (+ 1 (exp b)))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2))))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ (* -1 (* b (exp (- a (* 2 (log (+ 1 (exp a)))))))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) #s(hole binary64 (exp (- a (* 2 (log (+ 1 (exp a))))))))
#s(approx (- a (* (log (+ 1 (exp a))) 2)) #s(hole binary64 a))
#s(approx (- a (* (log (+ 1 (exp a))) 2)) #s(hole binary64 (* a (+ 1 (* -2 (/ (log (+ 1 (exp a))) a))))))
#s(approx (* (log (+ 1 (exp a))) 2) #s(hole binary64 (* 2 (log (+ 1 (exp a))))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (/ (exp a) (- (exp a) -1)) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 1 (exp a))))
#s(approx (/ (exp a) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))))) #s(hole binary64 (/ (* (exp a) (- (+ (pow (exp a) 2) (pow (exp b) 2)) (exp (+ a b)))) (+ (pow (exp a) 3) (pow (exp b) 3)))))
#s(approx (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b))))) #s(hole binary64 (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (- (+ (pow (exp a) 2) (pow (exp b) 2)) (exp (+ a b))))))
#s(approx (+ (pow (exp a) 3) (pow (exp b) 3)) #s(hole binary64 (+ (pow (exp a) 3) (pow (exp b) 3))))
#s(approx (pow (exp a) 3) #s(hole binary64 (pow (exp a) 3)))
#s(approx (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))) #s(hole binary64 (- (+ (pow (exp a) 2) (pow (exp b) 2)) (exp (+ a b)))))
#s(approx (- (pow (exp b) 2) (exp (+ a b))) #s(hole binary64 (- (pow (exp b) 2) (exp (+ a b)))))
#s(approx (exp (+ a b)) #s(hole binary64 (exp (+ a b))))
#s(approx (+ a b) #s(hole binary64 a))
#s(approx (+ a b) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) #s(hole binary64 (* -1 (* a (- (* -1 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (* a (+ 1 (exp b)))))))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ (* -1 (* b (exp (neg (+ (* -1 a) (* 2 (log (+ 1 (exp a))))))))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) #s(hole binary64 (exp (neg (+ (* -1 a) (* 2 (log (+ 1 (exp a)))))))))
#s(approx (- a (* (log (+ 1 (exp a))) 2)) #s(hole binary64 (* -1 (* a (- (* 2 (/ (log (+ 1 (exp a))) a)) 1)))))
#s(approx (/ (exp a) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))))) #s(hole binary64 (/ (* (exp a) (- (+ (pow (exp a) 2) (pow (exp b) 2)) (exp (- b (* -1 a))))) (+ (pow (exp a) 3) (pow (exp b) 3)))))
#s(approx (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b))))) #s(hole binary64 (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (- (+ (pow (exp a) 2) (pow (exp b) 2)) (exp (- b (* -1 a)))))))
#s(approx (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))) #s(hole binary64 (- (+ (pow (exp a) 2) (pow (exp b) 2)) (exp (- b (* -1 a))))))
#s(approx (- (pow (exp b) 2) (exp (+ a b))) #s(hole binary64 (- (pow (exp b) 2) (exp (- b (* -1 a))))))
#s(approx (exp (+ a b)) #s(hole binary64 (exp (- b (* -1 a)))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) #s(hole binary64 (+ 1/2 (* 1/4 a))))
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* 1/4 a)))))
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) #s(hole binary64 (+ 1/2 (+ (* 1/4 a) (* b (- (* -1/16 (* a b)) 1/4))))))
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) #s(hole binary64 (+ 1/2 (+ (* 1/4 a) (* b (- (* b (+ (* -1/16 a) (* 1/48 b))) 1/4))))))
#s(approx (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) #s(hole binary64 1/4))
#s(approx (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) #s(hole binary64 (+ 1/4 (* -1/16 (pow b 2)))))
#s(approx (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) #s(hole binary64 (+ 1/4 (* (pow b 2) (- (* 1/96 (pow b 2)) 1/16)))))
#s(approx (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) #s(hole binary64 (+ 1/4 (* (pow b 2) (- (* (pow b 2) (+ 1/96 (* -17/11520 (pow b 2)))) 1/16)))))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 1/2))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))))
#s(approx (- (exp b) -1) #s(hole binary64 2))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 b)))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (exp b) #s(hole binary64 1))
#s(approx (exp b) #s(hole binary64 (+ 1 b)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx b #s(hole binary64 b))
#s(approx (pow (- (exp b) -1) -2) #s(hole binary64 1/4))
#s(approx (pow (- (exp b) -1) -2) #s(hole binary64 (+ 1/4 (* -1/4 b))))
#s(approx (pow (- (exp b) -1) -2) #s(hole binary64 (+ 1/4 (* b (- (* 1/16 b) 1/4)))))
#s(approx (pow (- (exp b) -1) -2) #s(hole binary64 (+ 1/4 (* b (- (* b (+ 1/16 (* 1/48 b))) 1/4)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (neg b) #s(hole binary64 (* -1 b)))
#s(approx (/ (exp a) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))))) #s(hole binary64 (/ (* (exp a) (- (+ 1 (pow (exp a) 2)) (exp a))) (+ 1 (pow (exp a) 3)))))
#s(approx (/ (exp a) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))))) #s(hole binary64 (+ (* b (- (/ (* (exp a) (- 2 (exp a))) (+ 1 (pow (exp a) 3))) (* 3 (/ (* (exp a) (- (+ 1 (pow (exp a) 2)) (exp a))) (pow (+ 1 (pow (exp a) 3)) 2))))) (/ (* (exp a) (- (+ 1 (pow (exp a) 2)) (exp a))) (+ 1 (pow (exp a) 3))))))
#s(approx (/ (exp a) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))))) #s(hole binary64 (+ (* b (- (+ (* b (- (/ (* (exp a) (- 2 (* 1/2 (exp a)))) (+ 1 (pow (exp a) 3))) (+ (* 3 (/ (- (/ (* (exp a) (- 2 (exp a))) (+ 1 (pow (exp a) 3))) (* 3 (/ (* (exp a) (- (+ 1 (pow (exp a) 2)) (exp a))) (pow (+ 1 (pow (exp a) 3)) 2)))) (+ 1 (pow (exp a) 3)))) (* 9/2 (/ (* (exp a) (- (+ 1 (pow (exp a) 2)) (exp a))) (pow (+ 1 (pow (exp a) 3)) 2)))))) (/ (* (exp a) (- 2 (exp a))) (+ 1 (pow (exp a) 3)))) (* 3 (/ (* (exp a) (- (+ 1 (pow (exp a) 2)) (exp a))) (pow (+ 1 (pow (exp a) 3)) 2))))) (/ (* (exp a) (- (+ 1 (pow (exp a) 2)) (exp a))) (+ 1 (pow (exp a) 3))))))
#s(approx (/ (exp a) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))))) #s(hole binary64 (+ (* b (- (+ (* b (- (+ (* b (- (/ (* (exp a) (- 4/3 (* 1/6 (exp a)))) (+ 1 (pow (exp a) 3))) (+ (* 3 (/ (- (/ (* (exp a) (- 2 (* 1/2 (exp a)))) (+ 1 (pow (exp a) 3))) (+ (* 3 (/ (- (/ (* (exp a) (- 2 (exp a))) (+ 1 (pow (exp a) 3))) (* 3 (/ (* (exp a) (- (+ 1 (pow (exp a) 2)) (exp a))) (pow (+ 1 (pow (exp a) 3)) 2)))) (+ 1 (pow (exp a) 3)))) (* 9/2 (/ (* (exp a) (- (+ 1 (pow (exp a) 2)) (exp a))) (pow (+ 1 (pow (exp a) 3)) 2))))) (+ 1 (pow (exp a) 3)))) (+ (* 9/2 (/ (* (exp a) (- (+ 1 (pow (exp a) 2)) (exp a))) (pow (+ 1 (pow (exp a) 3)) 2))) (* 9/2 (/ (- (/ (* (exp a) (- 2 (exp a))) (+ 1 (pow (exp a) 3))) (* 3 (/ (* (exp a) (- (+ 1 (pow (exp a) 2)) (exp a))) (pow (+ 1 (pow (exp a) 3)) 2)))) (+ 1 (pow (exp a) 3)))))))) (/ (* (exp a) (- 2 (* 1/2 (exp a)))) (+ 1 (pow (exp a) 3)))) (+ (* 3 (/ (- (/ (* (exp a) (- 2 (exp a))) (+ 1 (pow (exp a) 3))) (* 3 (/ (* (exp a) (- (+ 1 (pow (exp a) 2)) (exp a))) (pow (+ 1 (pow (exp a) 3)) 2)))) (+ 1 (pow (exp a) 3)))) (* 9/2 (/ (* (exp a) (- (+ 1 (pow (exp a) 2)) (exp a))) (pow (+ 1 (pow (exp a) 3)) 2)))))) (/ (* (exp a) (- 2 (exp a))) (+ 1 (pow (exp a) 3)))) (* 3 (/ (* (exp a) (- (+ 1 (pow (exp a) 2)) (exp a))) (pow (+ 1 (pow (exp a) 3)) 2))))) (/ (* (exp a) (- (+ 1 (pow (exp a) 2)) (exp a))) (+ 1 (pow (exp a) 3))))))
#s(approx (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b))))) #s(hole binary64 (/ (+ 1 (pow (exp a) 3)) (- (+ 1 (pow (exp a) 2)) (exp a)))))
#s(approx (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b))))) #s(hole binary64 (+ (* b (- (* 3 (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a)))) (/ (* (+ 1 (pow (exp a) 3)) (- 2 (exp a))) (pow (- (+ 1 (pow (exp a) 2)) (exp a)) 2)))) (+ (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a))) (/ (pow (exp a) 3) (- (+ 1 (pow (exp a) 2)) (exp a)))))))
#s(approx (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b))))) #s(hole binary64 (+ (* b (- (+ (* 3 (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a)))) (* b (- (* 9/2 (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a)))) (+ (/ (* (+ 1 (pow (exp a) 3)) (- 2 (* 1/2 (exp a)))) (pow (- (+ 1 (pow (exp a) 2)) (exp a)) 2)) (/ (* (- 2 (exp a)) (- (* 3 (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a)))) (/ (* (+ 1 (pow (exp a) 3)) (- 2 (exp a))) (pow (- (+ 1 (pow (exp a) 2)) (exp a)) 2)))) (- (+ 1 (pow (exp a) 2)) (exp a))))))) (/ (* (+ 1 (pow (exp a) 3)) (- 2 (exp a))) (pow (- (+ 1 (pow (exp a) 2)) (exp a)) 2)))) (+ (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a))) (/ (pow (exp a) 3) (- (+ 1 (pow (exp a) 2)) (exp a)))))))
#s(approx (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b))))) #s(hole binary64 (+ (* b (- (+ (* 3 (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a)))) (* b (- (+ (* 9/2 (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a)))) (* b (- (* 9/2 (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a)))) (+ (/ (* (+ 1 (pow (exp a) 3)) (- 4/3 (* 1/6 (exp a)))) (pow (- (+ 1 (pow (exp a) 2)) (exp a)) 2)) (+ (/ (* (- 2 (exp a)) (- (* 9/2 (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a)))) (+ (/ (* (+ 1 (pow (exp a) 3)) (- 2 (* 1/2 (exp a)))) (pow (- (+ 1 (pow (exp a) 2)) (exp a)) 2)) (/ (* (- 2 (exp a)) (- (* 3 (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a)))) (/ (* (+ 1 (pow (exp a) 3)) (- 2 (exp a))) (pow (- (+ 1 (pow (exp a) 2)) (exp a)) 2)))) (- (+ 1 (pow (exp a) 2)) (exp a)))))) (- (+ 1 (pow (exp a) 2)) (exp a))) (/ (* (- 2 (* 1/2 (exp a))) (- (* 3 (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a)))) (/ (* (+ 1 (pow (exp a) 3)) (- 2 (exp a))) (pow (- (+ 1 (pow (exp a) 2)) (exp a)) 2)))) (- (+ 1 (pow (exp a) 2)) (exp a)))))))) (+ (/ (* (+ 1 (pow (exp a) 3)) (- 2 (* 1/2 (exp a)))) (pow (- (+ 1 (pow (exp a) 2)) (exp a)) 2)) (/ (* (- 2 (exp a)) (- (* 3 (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a)))) (/ (* (+ 1 (pow (exp a) 3)) (- 2 (exp a))) (pow (- (+ 1 (pow (exp a) 2)) (exp a)) 2)))) (- (+ 1 (pow (exp a) 2)) (exp a))))))) (/ (* (+ 1 (pow (exp a) 3)) (- 2 (exp a))) (pow (- (+ 1 (pow (exp a) 2)) (exp a)) 2)))) (+ (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a))) (/ (pow (exp a) 3) (- (+ 1 (pow (exp a) 2)) (exp a)))))))
#s(approx (+ (pow (exp a) 3) (pow (exp b) 3)) #s(hole binary64 (+ 1 (pow (exp a) 3))))
#s(approx (+ (pow (exp a) 3) (pow (exp b) 3)) #s(hole binary64 (+ 1 (+ (* 3 b) (pow (exp a) 3)))))
#s(approx (+ (pow (exp a) 3) (pow (exp b) 3)) #s(hole binary64 (+ 1 (+ (* b (+ 3 (* 9/2 b))) (pow (exp a) 3)))))
#s(approx (+ (pow (exp a) 3) (pow (exp b) 3)) #s(hole binary64 (+ 1 (+ (* b (+ 3 (* b (+ 9/2 (* 9/2 b))))) (pow (exp a) 3)))))
#s(approx (pow (exp b) 3) #s(hole binary64 1))
#s(approx (pow (exp b) 3) #s(hole binary64 (+ 1 (* 3 b))))
#s(approx (pow (exp b) 3) #s(hole binary64 (+ 1 (* b (+ 3 (* 9/2 b))))))
#s(approx (pow (exp b) 3) #s(hole binary64 (+ 1 (* b (+ 3 (* b (+ 9/2 (* 9/2 b))))))))
#s(approx (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))) #s(hole binary64 (- (+ 1 (pow (exp a) 2)) (exp a))))
#s(approx (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))) #s(hole binary64 (- (+ 1 (+ (* b (- 2 (exp a))) (pow (exp a) 2))) (exp a))))
#s(approx (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))) #s(hole binary64 (- (+ 1 (+ (* b (- (+ 2 (* b (- 2 (* 1/2 (exp a))))) (exp a))) (pow (exp a) 2))) (exp a))))
#s(approx (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))) #s(hole binary64 (- (+ 1 (+ (* b (- (+ 2 (* b (- (+ 2 (* b (- 4/3 (* 1/6 (exp a))))) (* 1/2 (exp a))))) (exp a))) (pow (exp a) 2))) (exp a))))
#s(approx (- (pow (exp b) 2) (exp (+ a b))) #s(hole binary64 (- 1 (exp a))))
#s(approx (- (pow (exp b) 2) (exp (+ a b))) #s(hole binary64 (- (+ 1 (* b (- 2 (exp a)))) (exp a))))
#s(approx (- (pow (exp b) 2) (exp (+ a b))) #s(hole binary64 (- (+ 1 (* b (- (+ 2 (* b (- 2 (* 1/2 (exp a))))) (exp a)))) (exp a))))
#s(approx (- (pow (exp b) 2) (exp (+ a b))) #s(hole binary64 (- (+ 1 (* b (- (+ 2 (* b (- (+ 2 (* b (- 4/3 (* 1/6 (exp a))))) (* 1/2 (exp a))))) (exp a)))) (exp a))))
#s(approx (pow (exp b) 2) #s(hole binary64 1))
#s(approx (pow (exp b) 2) #s(hole binary64 (+ 1 (* 2 b))))
#s(approx (pow (exp b) 2) #s(hole binary64 (+ 1 (* b (+ 2 (* 2 b))))))
#s(approx (pow (exp b) 2) #s(hole binary64 (+ 1 (* b (+ 2 (* b (+ 2 (* 4/3 b))))))))
#s(approx (exp (+ a b)) #s(hole binary64 (exp a)))
#s(approx (exp (+ a b)) #s(hole binary64 (+ (exp a) (* b (exp a)))))
#s(approx (exp (+ a b)) #s(hole binary64 (+ (exp a) (* b (+ (exp a) (* 1/2 (* b (exp a))))))))
#s(approx (exp (+ a b)) #s(hole binary64 (+ (exp a) (* b (+ (exp a) (* b (+ (* 1/6 (* b (exp a))) (* 1/2 (exp a)))))))))
#s(approx (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) #s(hole binary64 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 1 (exp b))))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (pow (- (exp b) -1) -2) #s(hole binary64 (/ 1 (pow (+ 1 (exp b)) 2))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* -1 (* b (exp (- a (* 2 (log (+ 1 (exp a))))))))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* b (+ (* -1 (exp (- a (* 2 (log (+ 1 (exp a))))))) (/ (exp a) (* b (+ 1 (exp a))))))))
#s(approx (pow (exp b) 3) #s(hole binary64 (pow (exp b) 3)))
#s(approx (pow (exp b) 2) #s(hole binary64 (pow (exp b) 2)))
#s(approx (+ a b) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* -1 (* b (+ (exp (- a (* 2 (log (+ 1 (exp a)))))) (* -1 (/ (exp a) (* b (+ 1 (exp a))))))))))
#s(approx (/ (exp a) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))))) #s(hole binary64 (/ (* (exp a) (- (+ (pow (exp a) 2) (pow (exp b) 2)) (exp (- a (* -1 b))))) (+ (pow (exp a) 3) (pow (exp b) 3)))))
#s(approx (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b))))) #s(hole binary64 (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (- (+ (pow (exp a) 2) (pow (exp b) 2)) (exp (- a (* -1 b)))))))
#s(approx (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))) #s(hole binary64 (- (+ (pow (exp a) 2) (pow (exp b) 2)) (exp (- a (* -1 b))))))
#s(approx (- (pow (exp b) 2) (exp (+ a b))) #s(hole binary64 (- (pow (exp b) 2) (exp (- a (* -1 b))))))
#s(approx (exp (+ a b)) #s(hole binary64 (exp (- a (* -1 b)))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
Calls

6 calls:

TimeVariablePointExpression
47.0ms
a
@inf
((/ (exp a) (+ (exp a) (exp b))) (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) (pow (- (exp b) -1) -1) (- (exp b) -1) (exp b) b -1 (pow (- (exp b) -1) -2) -2 a (/ (exp a) (+ (exp a) (exp b))) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp b) 1 (/ (exp a) (+ (exp a) (exp b))) (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (neg b) (exp (- a (* (log (+ 1 (exp a))) 2))) (- a (* (log (+ 1 (exp a))) 2)) (* (log (+ 1 (exp a))) 2) (log (+ 1 (exp a))) 2 (/ (exp a) (- (exp a) -1)) (- (exp a) -1) (/ (exp a) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))))) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b))))) (+ (pow (exp a) 3) (pow (exp b) 3)) (pow (exp a) 3) 3 (pow (exp b) 3) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))) (- (pow (exp b) 2) (exp (+ a b))) (pow (exp b) 2) (exp (+ a b)) (+ a b))
31.0ms
b
@0
((/ (exp a) (+ (exp a) (exp b))) (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) (pow (- (exp b) -1) -1) (- (exp b) -1) (exp b) b -1 (pow (- (exp b) -1) -2) -2 a (/ (exp a) (+ (exp a) (exp b))) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp b) 1 (/ (exp a) (+ (exp a) (exp b))) (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (neg b) (exp (- a (* (log (+ 1 (exp a))) 2))) (- a (* (log (+ 1 (exp a))) 2)) (* (log (+ 1 (exp a))) 2) (log (+ 1 (exp a))) 2 (/ (exp a) (- (exp a) -1)) (- (exp a) -1) (/ (exp a) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))))) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b))))) (+ (pow (exp a) 3) (pow (exp b) 3)) (pow (exp a) 3) 3 (pow (exp b) 3) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))) (- (pow (exp b) 2) (exp (+ a b))) (pow (exp b) 2) (exp (+ a b)) (+ a b))
27.0ms
a
@-inf
((/ (exp a) (+ (exp a) (exp b))) (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) (pow (- (exp b) -1) -1) (- (exp b) -1) (exp b) b -1 (pow (- (exp b) -1) -2) -2 a (/ (exp a) (+ (exp a) (exp b))) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp b) 1 (/ (exp a) (+ (exp a) (exp b))) (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (neg b) (exp (- a (* (log (+ 1 (exp a))) 2))) (- a (* (log (+ 1 (exp a))) 2)) (* (log (+ 1 (exp a))) 2) (log (+ 1 (exp a))) 2 (/ (exp a) (- (exp a) -1)) (- (exp a) -1) (/ (exp a) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))))) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b))))) (+ (pow (exp a) 3) (pow (exp b) 3)) (pow (exp a) 3) 3 (pow (exp b) 3) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))) (- (pow (exp b) 2) (exp (+ a b))) (pow (exp b) 2) (exp (+ a b)) (+ a b))
10.0ms
a
@0
((/ (exp a) (+ (exp a) (exp b))) (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) (pow (- (exp b) -1) -1) (- (exp b) -1) (exp b) b -1 (pow (- (exp b) -1) -2) -2 a (/ (exp a) (+ (exp a) (exp b))) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp b) 1 (/ (exp a) (+ (exp a) (exp b))) (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (neg b) (exp (- a (* (log (+ 1 (exp a))) 2))) (- a (* (log (+ 1 (exp a))) 2)) (* (log (+ 1 (exp a))) 2) (log (+ 1 (exp a))) 2 (/ (exp a) (- (exp a) -1)) (- (exp a) -1) (/ (exp a) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))))) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b))))) (+ (pow (exp a) 3) (pow (exp b) 3)) (pow (exp a) 3) 3 (pow (exp b) 3) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))) (- (pow (exp b) 2) (exp (+ a b))) (pow (exp b) 2) (exp (+ a b)) (+ a b))
8.0ms
b
@inf
((/ (exp a) (+ (exp a) (exp b))) (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) (pow (- (exp b) -1) -1) (- (exp b) -1) (exp b) b -1 (pow (- (exp b) -1) -2) -2 a (/ (exp a) (+ (exp a) (exp b))) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp b) 1 (/ (exp a) (+ (exp a) (exp b))) (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (neg b) (exp (- a (* (log (+ 1 (exp a))) 2))) (- a (* (log (+ 1 (exp a))) 2)) (* (log (+ 1 (exp a))) 2) (log (+ 1 (exp a))) 2 (/ (exp a) (- (exp a) -1)) (- (exp a) -1) (/ (exp a) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))))) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b))))) (+ (pow (exp a) 3) (pow (exp b) 3)) (pow (exp a) 3) 3 (pow (exp b) 3) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))) (- (pow (exp b) 2) (exp (+ a b))) (pow (exp b) 2) (exp (+ a b)) (+ a b))

rewrite238.0ms (5.6%)

Memory
2.2MiB live, 143.2MiB allocated; 20ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09297305
09946485
162806447
082356212
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
227 → 332
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64)))
(pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))
(-.f64 (exp.f64 b) #s(literal -1 binary64))
(exp.f64 b)
b
#s(literal -1 binary64)
(pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))
#s(literal -2 binary64)
a
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(exp.f64 a)
(+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))
#s(approx (exp b) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (neg.f64 b) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
(fma.f64 (neg.f64 b) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(neg.f64 b)
(exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))
(-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))
(*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))
(log1p.f64 (exp.f64 a))
#s(literal 2 binary64)
(/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64)))
(-.f64 (exp.f64 a) #s(literal -1 binary64))
(/.f64 (exp.f64 a) (/.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64))) (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (exp.f64 (+.f64 a b))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64))) (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (exp.f64 (+.f64 a b)))))
(+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64)))
(pow.f64 (exp.f64 a) #s(literal 3 binary64))
#s(literal 3 binary64)
(pow.f64 (exp.f64 b) #s(literal 3 binary64))
(fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (exp.f64 (+.f64 a b))))
(-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (exp.f64 (+.f64 a b)))
(pow.f64 (exp.f64 b) #s(literal 2 binary64))
(exp.f64 (+.f64 a b))
(+.f64 a b)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx a #s(hole binary64 a))
#s(approx (exp a) #s(hole binary64 1))
#s(approx (exp a) #s(hole binary64 (+ 1 a)))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (* -1 (* b (exp (neg (* 2 (log 2)))))))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* -1 (* b (exp (neg (* 2 (log 2)))))) (* 1/4 a)))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* -1 (* b (exp (neg (* 2 (log 2)))))) (* a (+ 1/4 (* 1/4 (* a (* b (exp (neg (* 2 (log 2)))))))))))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* -1 (* b (exp (neg (* 2 (log 2)))))) (* a (+ 1/4 (* a (+ (* -1/48 a) (* 1/4 (* b (exp (neg (* 2 (log 2))))))))))))))
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) #s(hole binary64 (exp (neg (* 2 (log 2))))))
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) #s(hole binary64 (+ (exp (neg (* 2 (log 2)))) (* -1/4 (* (pow a 2) (exp (neg (* 2 (log 2)))))))))
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) #s(hole binary64 (+ (exp (neg (* 2 (log 2)))) (* (pow a 2) (+ (* -1/4 (exp (neg (* 2 (log 2))))) (* 1/24 (* (pow a 2) (exp (neg (* 2 (log 2)))))))))))
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) #s(hole binary64 (+ (exp (neg (* 2 (log 2)))) (* (pow a 2) (+ (* -1/4 (exp (neg (* 2 (log 2))))) (* (pow a 2) (+ (* -17/2880 (* (pow a 2) (exp (neg (* 2 (log 2)))))) (* 1/24 (exp (neg (* 2 (log 2))))))))))))
#s(approx (- a (* (log (+ 1 (exp a))) 2)) #s(hole binary64 (* -2 (log 2))))
#s(approx (- a (* (log (+ 1 (exp a))) 2)) #s(hole binary64 (- (* -1/4 (pow a 2)) (* 2 (log 2)))))
#s(approx (- a (* (log (+ 1 (exp a))) 2)) #s(hole binary64 (- (* (pow a 2) (- (* 1/96 (pow a 2)) 1/4)) (* 2 (log 2)))))
#s(approx (- a (* (log (+ 1 (exp a))) 2)) #s(hole binary64 (- (* (pow a 2) (- (* (pow a 2) (+ 1/96 (* -1/1440 (pow a 2)))) 1/4)) (* 2 (log 2)))))
#s(approx (* (log (+ 1 (exp a))) 2) #s(hole binary64 (* 2 (log 2))))
#s(approx (* (log (+ 1 (exp a))) 2) #s(hole binary64 (+ a (* 2 (log 2)))))
#s(approx (* (log (+ 1 (exp a))) 2) #s(hole binary64 (+ (* 2 (log 2)) (* a (+ 1 (* 1/4 a))))))
#s(approx (* (log (+ 1 (exp a))) 2) #s(hole binary64 (+ (* 2 (log 2)) (* a (+ 1 (* a (+ 1/4 (* -1/96 (pow a 2)))))))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* 1/2 a))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* 1/8 a))))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))))
#s(approx (/ (exp a) (- (exp a) -1)) #s(hole binary64 1/2))
#s(approx (/ (exp a) (- (exp a) -1)) #s(hole binary64 (+ 1/2 (* 1/4 a))))
#s(approx (/ (exp a) (- (exp a) -1)) #s(hole binary64 (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))))
#s(approx (/ (exp a) (- (exp a) -1)) #s(hole binary64 (+ 1/2 (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))))))
#s(approx (- (exp a) -1) #s(hole binary64 2))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 a)))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 (* a (+ 1 (* 1/2 a))))))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (/ (exp a) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))))) #s(hole binary64 (/ (- (+ 1 (pow (exp b) 2)) (exp b)) (+ 1 (pow (exp b) 3)))))
#s(approx (/ (exp a) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))))) #s(hole binary64 (- (+ (* a (- (+ (* 3 (/ 1 (+ 1 (pow (exp b) 3)))) (/ (pow (exp b) 2) (+ 1 (pow (exp b) 3)))) (+ (* 2 (/ (exp b) (+ 1 (pow (exp b) 3)))) (* 3 (/ (- (+ 1 (pow (exp b) 2)) (exp b)) (pow (+ 1 (pow (exp b) 3)) 2)))))) (+ (/ 1 (+ 1 (pow (exp b) 3))) (/ (pow (exp b) 2) (+ 1 (pow (exp b) 3))))) (/ (exp b) (+ 1 (pow (exp b) 3))))))
#s(approx (/ (exp a) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))))) #s(hole binary64 (- (+ (* a (- (+ (* 3 (/ 1 (+ 1 (pow (exp b) 3)))) (+ (* a (- (+ (* 1/2 (/ (- (+ 1 (pow (exp b) 2)) (exp b)) (+ 1 (pow (exp b) 3)))) (* 4 (/ 1 (+ 1 (pow (exp b) 3))))) (+ (* 1/2 (/ (exp b) (+ 1 (pow (exp b) 3)))) (+ (* 3 (/ (- (+ (* 3 (/ 1 (+ 1 (pow (exp b) 3)))) (/ (pow (exp b) 2) (+ 1 (pow (exp b) 3)))) (+ (* 2 (/ (exp b) (+ 1 (pow (exp b) 3)))) (* 3 (/ (- (+ 1 (pow (exp b) 2)) (exp b)) (pow (+ 1 (pow (exp b) 3)) 2))))) (+ 1 (pow (exp b) 3)))) (+ (* 9/2 (/ (- (+ 1 (pow (exp b) 2)) (exp b)) (pow (+ 1 (pow (exp b) 3)) 2))) (/ (exp b) (+ 1 (pow (exp b) 3)))))))) (/ (pow (exp b) 2) (+ 1 (pow (exp b) 3))))) (+ (* 2 (/ (exp b) (+ 1 (pow (exp b) 3)))) (* 3 (/ (- (+ 1 (pow (exp b) 2)) (exp b)) (pow (+ 1 (pow (exp b) 3)) 2)))))) (+ (/ 1 (+ 1 (pow (exp b) 3))) (/ (pow (exp b) 2) (+ 1 (pow (exp b) 3))))) (/ (exp b) (+ 1 (pow (exp b) 3))))))
#s(approx (/ (exp a) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))))) #s(hole binary64 (- (+ (* a (- (+ (* 3 (/ 1 (+ 1 (pow (exp b) 3)))) (+ (* a (- (+ (* 1/2 (/ (- (+ 1 (pow (exp b) 2)) (exp b)) (+ 1 (pow (exp b) 3)))) (+ (* 4 (/ 1 (+ 1 (pow (exp b) 3)))) (* a (- (+ (* 1/6 (/ (- (+ 1 (pow (exp b) 2)) (exp b)) (+ 1 (pow (exp b) 3)))) (+ (* 1/2 (/ (- 2 (exp b)) (+ 1 (pow (exp b) 3)))) (* 10/3 (/ 1 (+ 1 (pow (exp b) 3)))))) (+ (* 1/6 (/ (exp b) (+ 1 (pow (exp b) 3)))) (+ (* 1/2 (/ (exp b) (+ 1 (pow (exp b) 3)))) (+ (* 3 (/ (- (+ (* 1/2 (/ (- (+ 1 (pow (exp b) 2)) (exp b)) (+ 1 (pow (exp b) 3)))) (* 4 (/ 1 (+ 1 (pow (exp b) 3))))) (+ (* 1/2 (/ (exp b) (+ 1 (pow (exp b) 3)))) (+ (* 3 (/ (- (+ (* 3 (/ 1 (+ 1 (pow (exp b) 3)))) (/ (pow (exp b) 2) (+ 1 (pow (exp b) 3)))) (+ (* 2 (/ (exp b) (+ 1 (pow (exp b) 3)))) (* 3 (/ (- (+ 1 (pow (exp b) 2)) (exp b)) (pow (+ 1 (pow (exp b) 3)) 2))))) (+ 1 (pow (exp b) 3)))) (+ (* 9/2 (/ (- (+ 1 (pow (exp b) 2)) (exp b)) (pow (+ 1 (pow (exp b) 3)) 2))) (/ (exp b) (+ 1 (pow (exp b) 3))))))) (+ 1 (pow (exp b) 3)))) (+ (* 9/2 (/ (- (+ 1 (pow (exp b) 2)) (exp b)) (pow (+ 1 (pow (exp b) 3)) 2))) (* 9/2 (/ (- (+ (* 3 (/ 1 (+ 1 (pow (exp b) 3)))) (/ (pow (exp b) 2) (+ 1 (pow (exp b) 3)))) (+ (* 2 (/ (exp b) (+ 1 (pow (exp b) 3)))) (* 3 (/ (- (+ 1 (pow (exp b) 2)) (exp b)) (pow (+ 1 (pow (exp b) 3)) 2))))) (+ 1 (pow (exp b) 3)))))))))))) (+ (* 1/2 (/ (exp b) (+ 1 (pow (exp b) 3)))) (+ (* 3 (/ (- (+ (* 3 (/ 1 (+ 1 (pow (exp b) 3)))) (/ (pow (exp b) 2) (+ 1 (pow (exp b) 3)))) (+ (* 2 (/ (exp b) (+ 1 (pow (exp b) 3)))) (* 3 (/ (- (+ 1 (pow (exp b) 2)) (exp b)) (pow (+ 1 (pow (exp b) 3)) 2))))) (+ 1 (pow (exp b) 3)))) (+ (* 9/2 (/ (- (+ 1 (pow (exp b) 2)) (exp b)) (pow (+ 1 (pow (exp b) 3)) 2))) (/ (exp b) (+ 1 (pow (exp b) 3)))))))) (/ (pow (exp b) 2) (+ 1 (pow (exp b) 3))))) (+ (* 2 (/ (exp b) (+ 1 (pow (exp b) 3)))) (* 3 (/ (- (+ 1 (pow (exp b) 2)) (exp b)) (pow (+ 1 (pow (exp b) 3)) 2)))))) (+ (/ 1 (+ 1 (pow (exp b) 3))) (/ (pow (exp b) 2) (+ 1 (pow (exp b) 3))))) (/ (exp b) (+ 1 (pow (exp b) 3))))))
#s(approx (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b))))) #s(hole binary64 (/ (+ 1 (pow (exp b) 3)) (- (+ 1 (pow (exp b) 2)) (exp b)))))
#s(approx (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b))))) #s(hole binary64 (+ (* a (- (* 3 (/ 1 (- (+ 1 (pow (exp b) 2)) (exp b)))) (/ (* (+ 1 (pow (exp b) 3)) (- 2 (exp b))) (pow (- (+ 1 (pow (exp b) 2)) (exp b)) 2)))) (+ (/ 1 (- (+ 1 (pow (exp b) 2)) (exp b))) (/ (pow (exp b) 3) (- (+ 1 (pow (exp b) 2)) (exp b)))))))
#s(approx (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b))))) #s(hole binary64 (+ (* a (- (+ (* 3 (/ 1 (- (+ 1 (pow (exp b) 2)) (exp b)))) (* a (- (* 9/2 (/ 1 (- (+ 1 (pow (exp b) 2)) (exp b)))) (+ (/ (* (+ 1 (pow (exp b) 3)) (- 2 (* 1/2 (exp b)))) (pow (- (+ 1 (pow (exp b) 2)) (exp b)) 2)) (/ (* (- 2 (exp b)) (- (* 3 (/ 1 (- (+ 1 (pow (exp b) 2)) (exp b)))) (/ (* (+ 1 (pow (exp b) 3)) (- 2 (exp b))) (pow (- (+ 1 (pow (exp b) 2)) (exp b)) 2)))) (- (+ 1 (pow (exp b) 2)) (exp b))))))) (/ (* (+ 1 (pow (exp b) 3)) (- 2 (exp b))) (pow (- (+ 1 (pow (exp b) 2)) (exp b)) 2)))) (+ (/ 1 (- (+ 1 (pow (exp b) 2)) (exp b))) (/ (pow (exp b) 3) (- (+ 1 (pow (exp b) 2)) (exp b)))))))
#s(approx (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b))))) #s(hole binary64 (+ (* a (- (+ (* 3 (/ 1 (- (+ 1 (pow (exp b) 2)) (exp b)))) (* a (- (+ (* 9/2 (/ 1 (- (+ 1 (pow (exp b) 2)) (exp b)))) (* a (- (* 9/2 (/ 1 (- (+ 1 (pow (exp b) 2)) (exp b)))) (+ (/ (* (+ 1 (pow (exp b) 3)) (- 4/3 (* 1/6 (exp b)))) (pow (- (+ 1 (pow (exp b) 2)) (exp b)) 2)) (+ (/ (* (- 2 (exp b)) (- (* 9/2 (/ 1 (- (+ 1 (pow (exp b) 2)) (exp b)))) (+ (/ (* (+ 1 (pow (exp b) 3)) (- 2 (* 1/2 (exp b)))) (pow (- (+ 1 (pow (exp b) 2)) (exp b)) 2)) (/ (* (- 2 (exp b)) (- (* 3 (/ 1 (- (+ 1 (pow (exp b) 2)) (exp b)))) (/ (* (+ 1 (pow (exp b) 3)) (- 2 (exp b))) (pow (- (+ 1 (pow (exp b) 2)) (exp b)) 2)))) (- (+ 1 (pow (exp b) 2)) (exp b)))))) (- (+ 1 (pow (exp b) 2)) (exp b))) (/ (* (- 2 (* 1/2 (exp b))) (- (* 3 (/ 1 (- (+ 1 (pow (exp b) 2)) (exp b)))) (/ (* (+ 1 (pow (exp b) 3)) (- 2 (exp b))) (pow (- (+ 1 (pow (exp b) 2)) (exp b)) 2)))) (- (+ 1 (pow (exp b) 2)) (exp b)))))))) (+ (/ (* (+ 1 (pow (exp b) 3)) (- 2 (* 1/2 (exp b)))) (pow (- (+ 1 (pow (exp b) 2)) (exp b)) 2)) (/ (* (- 2 (exp b)) (- (* 3 (/ 1 (- (+ 1 (pow (exp b) 2)) (exp b)))) (/ (* (+ 1 (pow (exp b) 3)) (- 2 (exp b))) (pow (- (+ 1 (pow (exp b) 2)) (exp b)) 2)))) (- (+ 1 (pow (exp b) 2)) (exp b))))))) (/ (* (+ 1 (pow (exp b) 3)) (- 2 (exp b))) (pow (- (+ 1 (pow (exp b) 2)) (exp b)) 2)))) (+ (/ 1 (- (+ 1 (pow (exp b) 2)) (exp b))) (/ (pow (exp b) 3) (- (+ 1 (pow (exp b) 2)) (exp b)))))))
#s(approx (+ (pow (exp a) 3) (pow (exp b) 3)) #s(hole binary64 (+ 1 (pow (exp b) 3))))
#s(approx (+ (pow (exp a) 3) (pow (exp b) 3)) #s(hole binary64 (+ 1 (+ (* 3 a) (pow (exp b) 3)))))
#s(approx (+ (pow (exp a) 3) (pow (exp b) 3)) #s(hole binary64 (+ 1 (+ (* a (+ 3 (* 9/2 a))) (pow (exp b) 3)))))
#s(approx (+ (pow (exp a) 3) (pow (exp b) 3)) #s(hole binary64 (+ 1 (+ (* a (+ 3 (* a (+ 9/2 (* 9/2 a))))) (pow (exp b) 3)))))
#s(approx (pow (exp a) 3) #s(hole binary64 1))
#s(approx (pow (exp a) 3) #s(hole binary64 (+ 1 (* 3 a))))
#s(approx (pow (exp a) 3) #s(hole binary64 (+ 1 (* a (+ 3 (* 9/2 a))))))
#s(approx (pow (exp a) 3) #s(hole binary64 (+ 1 (* a (+ 3 (* a (+ 9/2 (* 9/2 a))))))))
#s(approx (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))) #s(hole binary64 (- (+ 1 (pow (exp b) 2)) (exp b))))
#s(approx (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))) #s(hole binary64 (- (+ 1 (+ (* a (- 2 (exp b))) (pow (exp b) 2))) (exp b))))
#s(approx (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))) #s(hole binary64 (- (+ 1 (+ (* a (- (+ 2 (* a (- 2 (* 1/2 (exp b))))) (exp b))) (pow (exp b) 2))) (exp b))))
#s(approx (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))) #s(hole binary64 (- (+ 1 (+ (* a (- (+ 2 (* a (- (+ 2 (* a (- 4/3 (* 1/6 (exp b))))) (* 1/2 (exp b))))) (exp b))) (pow (exp b) 2))) (exp b))))
#s(approx (- (pow (exp b) 2) (exp (+ a b))) #s(hole binary64 (- (pow (exp b) 2) (exp b))))
#s(approx (- (pow (exp b) 2) (exp (+ a b))) #s(hole binary64 (- (+ (* -1 (* a (exp b))) (pow (exp b) 2)) (exp b))))
#s(approx (- (pow (exp b) 2) (exp (+ a b))) #s(hole binary64 (- (+ (* a (- (* -1/2 (* a (exp b))) (exp b))) (pow (exp b) 2)) (exp b))))
#s(approx (- (pow (exp b) 2) (exp (+ a b))) #s(hole binary64 (- (+ (* a (- (* a (- (* -1/6 (* a (exp b))) (* 1/2 (exp b)))) (exp b))) (pow (exp b) 2)) (exp b))))
#s(approx (exp (+ a b)) #s(hole binary64 (exp b)))
#s(approx (exp (+ a b)) #s(hole binary64 (+ (exp b) (* a (exp b)))))
#s(approx (exp (+ a b)) #s(hole binary64 (+ (exp b) (* a (+ (exp b) (* 1/2 (* a (exp b))))))))
#s(approx (exp (+ a b)) #s(hole binary64 (+ (exp b) (* a (+ (exp b) (* a (+ (* 1/6 (* a (exp b))) (* 1/2 (exp b)))))))))
#s(approx (+ a b) #s(hole binary64 b))
#s(approx (+ a b) #s(hole binary64 (+ a b)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ (exp a) (exp b)))))
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) #s(hole binary64 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))))
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) #s(hole binary64 (* a (- (+ (/ 1 (* a (+ 1 (exp b)))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2))))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ (* -1 (* b (exp (- a (* 2 (log (+ 1 (exp a)))))))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) #s(hole binary64 (exp (- a (* 2 (log (+ 1 (exp a))))))))
#s(approx (- a (* (log (+ 1 (exp a))) 2)) #s(hole binary64 a))
#s(approx (- a (* (log (+ 1 (exp a))) 2)) #s(hole binary64 (* a (+ 1 (* -2 (/ (log (+ 1 (exp a))) a))))))
#s(approx (* (log (+ 1 (exp a))) 2) #s(hole binary64 (* 2 (log (+ 1 (exp a))))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (/ (exp a) (- (exp a) -1)) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 1 (exp a))))
#s(approx (/ (exp a) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))))) #s(hole binary64 (/ (* (exp a) (- (+ (pow (exp a) 2) (pow (exp b) 2)) (exp (+ a b)))) (+ (pow (exp a) 3) (pow (exp b) 3)))))
#s(approx (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b))))) #s(hole binary64 (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (- (+ (pow (exp a) 2) (pow (exp b) 2)) (exp (+ a b))))))
#s(approx (+ (pow (exp a) 3) (pow (exp b) 3)) #s(hole binary64 (+ (pow (exp a) 3) (pow (exp b) 3))))
#s(approx (pow (exp a) 3) #s(hole binary64 (pow (exp a) 3)))
#s(approx (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))) #s(hole binary64 (- (+ (pow (exp a) 2) (pow (exp b) 2)) (exp (+ a b)))))
#s(approx (- (pow (exp b) 2) (exp (+ a b))) #s(hole binary64 (- (pow (exp b) 2) (exp (+ a b)))))
#s(approx (exp (+ a b)) #s(hole binary64 (exp (+ a b))))
#s(approx (+ a b) #s(hole binary64 a))
#s(approx (+ a b) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) #s(hole binary64 (* -1 (* a (- (* -1 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (* a (+ 1 (exp b)))))))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ (* -1 (* b (exp (neg (+ (* -1 a) (* 2 (log (+ 1 (exp a))))))))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) #s(hole binary64 (exp (neg (+ (* -1 a) (* 2 (log (+ 1 (exp a)))))))))
#s(approx (- a (* (log (+ 1 (exp a))) 2)) #s(hole binary64 (* -1 (* a (- (* 2 (/ (log (+ 1 (exp a))) a)) 1)))))
#s(approx (/ (exp a) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))))) #s(hole binary64 (/ (* (exp a) (- (+ (pow (exp a) 2) (pow (exp b) 2)) (exp (- b (* -1 a))))) (+ (pow (exp a) 3) (pow (exp b) 3)))))
#s(approx (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b))))) #s(hole binary64 (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (- (+ (pow (exp a) 2) (pow (exp b) 2)) (exp (- b (* -1 a)))))))
#s(approx (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))) #s(hole binary64 (- (+ (pow (exp a) 2) (pow (exp b) 2)) (exp (- b (* -1 a))))))
#s(approx (- (pow (exp b) 2) (exp (+ a b))) #s(hole binary64 (- (pow (exp b) 2) (exp (- b (* -1 a))))))
#s(approx (exp (+ a b)) #s(hole binary64 (exp (- b (* -1 a)))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) #s(hole binary64 (+ 1/2 (* 1/4 a))))
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* 1/4 a)))))
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) #s(hole binary64 (+ 1/2 (+ (* 1/4 a) (* b (- (* -1/16 (* a b)) 1/4))))))
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) #s(hole binary64 (+ 1/2 (+ (* 1/4 a) (* b (- (* b (+ (* -1/16 a) (* 1/48 b))) 1/4))))))
#s(approx (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) #s(hole binary64 1/4))
#s(approx (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) #s(hole binary64 (+ 1/4 (* -1/16 (pow b 2)))))
#s(approx (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) #s(hole binary64 (+ 1/4 (* (pow b 2) (- (* 1/96 (pow b 2)) 1/16)))))
#s(approx (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) #s(hole binary64 (+ 1/4 (* (pow b 2) (- (* (pow b 2) (+ 1/96 (* -17/11520 (pow b 2)))) 1/16)))))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 1/2))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))))
#s(approx (- (exp b) -1) #s(hole binary64 2))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 b)))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (exp b) #s(hole binary64 1))
#s(approx (exp b) #s(hole binary64 (+ 1 b)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx b #s(hole binary64 b))
#s(approx (pow (- (exp b) -1) -2) #s(hole binary64 1/4))
#s(approx (pow (- (exp b) -1) -2) #s(hole binary64 (+ 1/4 (* -1/4 b))))
#s(approx (pow (- (exp b) -1) -2) #s(hole binary64 (+ 1/4 (* b (- (* 1/16 b) 1/4)))))
#s(approx (pow (- (exp b) -1) -2) #s(hole binary64 (+ 1/4 (* b (- (* b (+ 1/16 (* 1/48 b))) 1/4)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (neg b) #s(hole binary64 (* -1 b)))
#s(approx (/ (exp a) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))))) #s(hole binary64 (/ (* (exp a) (- (+ 1 (pow (exp a) 2)) (exp a))) (+ 1 (pow (exp a) 3)))))
#s(approx (/ (exp a) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))))) #s(hole binary64 (+ (* b (- (/ (* (exp a) (- 2 (exp a))) (+ 1 (pow (exp a) 3))) (* 3 (/ (* (exp a) (- (+ 1 (pow (exp a) 2)) (exp a))) (pow (+ 1 (pow (exp a) 3)) 2))))) (/ (* (exp a) (- (+ 1 (pow (exp a) 2)) (exp a))) (+ 1 (pow (exp a) 3))))))
#s(approx (/ (exp a) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))))) #s(hole binary64 (+ (* b (- (+ (* b (- (/ (* (exp a) (- 2 (* 1/2 (exp a)))) (+ 1 (pow (exp a) 3))) (+ (* 3 (/ (- (/ (* (exp a) (- 2 (exp a))) (+ 1 (pow (exp a) 3))) (* 3 (/ (* (exp a) (- (+ 1 (pow (exp a) 2)) (exp a))) (pow (+ 1 (pow (exp a) 3)) 2)))) (+ 1 (pow (exp a) 3)))) (* 9/2 (/ (* (exp a) (- (+ 1 (pow (exp a) 2)) (exp a))) (pow (+ 1 (pow (exp a) 3)) 2)))))) (/ (* (exp a) (- 2 (exp a))) (+ 1 (pow (exp a) 3)))) (* 3 (/ (* (exp a) (- (+ 1 (pow (exp a) 2)) (exp a))) (pow (+ 1 (pow (exp a) 3)) 2))))) (/ (* (exp a) (- (+ 1 (pow (exp a) 2)) (exp a))) (+ 1 (pow (exp a) 3))))))
#s(approx (/ (exp a) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))))) #s(hole binary64 (+ (* b (- (+ (* b (- (+ (* b (- (/ (* (exp a) (- 4/3 (* 1/6 (exp a)))) (+ 1 (pow (exp a) 3))) (+ (* 3 (/ (- (/ (* (exp a) (- 2 (* 1/2 (exp a)))) (+ 1 (pow (exp a) 3))) (+ (* 3 (/ (- (/ (* (exp a) (- 2 (exp a))) (+ 1 (pow (exp a) 3))) (* 3 (/ (* (exp a) (- (+ 1 (pow (exp a) 2)) (exp a))) (pow (+ 1 (pow (exp a) 3)) 2)))) (+ 1 (pow (exp a) 3)))) (* 9/2 (/ (* (exp a) (- (+ 1 (pow (exp a) 2)) (exp a))) (pow (+ 1 (pow (exp a) 3)) 2))))) (+ 1 (pow (exp a) 3)))) (+ (* 9/2 (/ (* (exp a) (- (+ 1 (pow (exp a) 2)) (exp a))) (pow (+ 1 (pow (exp a) 3)) 2))) (* 9/2 (/ (- (/ (* (exp a) (- 2 (exp a))) (+ 1 (pow (exp a) 3))) (* 3 (/ (* (exp a) (- (+ 1 (pow (exp a) 2)) (exp a))) (pow (+ 1 (pow (exp a) 3)) 2)))) (+ 1 (pow (exp a) 3)))))))) (/ (* (exp a) (- 2 (* 1/2 (exp a)))) (+ 1 (pow (exp a) 3)))) (+ (* 3 (/ (- (/ (* (exp a) (- 2 (exp a))) (+ 1 (pow (exp a) 3))) (* 3 (/ (* (exp a) (- (+ 1 (pow (exp a) 2)) (exp a))) (pow (+ 1 (pow (exp a) 3)) 2)))) (+ 1 (pow (exp a) 3)))) (* 9/2 (/ (* (exp a) (- (+ 1 (pow (exp a) 2)) (exp a))) (pow (+ 1 (pow (exp a) 3)) 2)))))) (/ (* (exp a) (- 2 (exp a))) (+ 1 (pow (exp a) 3)))) (* 3 (/ (* (exp a) (- (+ 1 (pow (exp a) 2)) (exp a))) (pow (+ 1 (pow (exp a) 3)) 2))))) (/ (* (exp a) (- (+ 1 (pow (exp a) 2)) (exp a))) (+ 1 (pow (exp a) 3))))))
#s(approx (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b))))) #s(hole binary64 (/ (+ 1 (pow (exp a) 3)) (- (+ 1 (pow (exp a) 2)) (exp a)))))
#s(approx (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b))))) #s(hole binary64 (+ (* b (- (* 3 (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a)))) (/ (* (+ 1 (pow (exp a) 3)) (- 2 (exp a))) (pow (- (+ 1 (pow (exp a) 2)) (exp a)) 2)))) (+ (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a))) (/ (pow (exp a) 3) (- (+ 1 (pow (exp a) 2)) (exp a)))))))
#s(approx (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b))))) #s(hole binary64 (+ (* b (- (+ (* 3 (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a)))) (* b (- (* 9/2 (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a)))) (+ (/ (* (+ 1 (pow (exp a) 3)) (- 2 (* 1/2 (exp a)))) (pow (- (+ 1 (pow (exp a) 2)) (exp a)) 2)) (/ (* (- 2 (exp a)) (- (* 3 (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a)))) (/ (* (+ 1 (pow (exp a) 3)) (- 2 (exp a))) (pow (- (+ 1 (pow (exp a) 2)) (exp a)) 2)))) (- (+ 1 (pow (exp a) 2)) (exp a))))))) (/ (* (+ 1 (pow (exp a) 3)) (- 2 (exp a))) (pow (- (+ 1 (pow (exp a) 2)) (exp a)) 2)))) (+ (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a))) (/ (pow (exp a) 3) (- (+ 1 (pow (exp a) 2)) (exp a)))))))
#s(approx (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b))))) #s(hole binary64 (+ (* b (- (+ (* 3 (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a)))) (* b (- (+ (* 9/2 (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a)))) (* b (- (* 9/2 (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a)))) (+ (/ (* (+ 1 (pow (exp a) 3)) (- 4/3 (* 1/6 (exp a)))) (pow (- (+ 1 (pow (exp a) 2)) (exp a)) 2)) (+ (/ (* (- 2 (exp a)) (- (* 9/2 (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a)))) (+ (/ (* (+ 1 (pow (exp a) 3)) (- 2 (* 1/2 (exp a)))) (pow (- (+ 1 (pow (exp a) 2)) (exp a)) 2)) (/ (* (- 2 (exp a)) (- (* 3 (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a)))) (/ (* (+ 1 (pow (exp a) 3)) (- 2 (exp a))) (pow (- (+ 1 (pow (exp a) 2)) (exp a)) 2)))) (- (+ 1 (pow (exp a) 2)) (exp a)))))) (- (+ 1 (pow (exp a) 2)) (exp a))) (/ (* (- 2 (* 1/2 (exp a))) (- (* 3 (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a)))) (/ (* (+ 1 (pow (exp a) 3)) (- 2 (exp a))) (pow (- (+ 1 (pow (exp a) 2)) (exp a)) 2)))) (- (+ 1 (pow (exp a) 2)) (exp a)))))))) (+ (/ (* (+ 1 (pow (exp a) 3)) (- 2 (* 1/2 (exp a)))) (pow (- (+ 1 (pow (exp a) 2)) (exp a)) 2)) (/ (* (- 2 (exp a)) (- (* 3 (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a)))) (/ (* (+ 1 (pow (exp a) 3)) (- 2 (exp a))) (pow (- (+ 1 (pow (exp a) 2)) (exp a)) 2)))) (- (+ 1 (pow (exp a) 2)) (exp a))))))) (/ (* (+ 1 (pow (exp a) 3)) (- 2 (exp a))) (pow (- (+ 1 (pow (exp a) 2)) (exp a)) 2)))) (+ (/ 1 (- (+ 1 (pow (exp a) 2)) (exp a))) (/ (pow (exp a) 3) (- (+ 1 (pow (exp a) 2)) (exp a)))))))
#s(approx (+ (pow (exp a) 3) (pow (exp b) 3)) #s(hole binary64 (+ 1 (pow (exp a) 3))))
#s(approx (+ (pow (exp a) 3) (pow (exp b) 3)) #s(hole binary64 (+ 1 (+ (* 3 b) (pow (exp a) 3)))))
#s(approx (+ (pow (exp a) 3) (pow (exp b) 3)) #s(hole binary64 (+ 1 (+ (* b (+ 3 (* 9/2 b))) (pow (exp a) 3)))))
#s(approx (+ (pow (exp a) 3) (pow (exp b) 3)) #s(hole binary64 (+ 1 (+ (* b (+ 3 (* b (+ 9/2 (* 9/2 b))))) (pow (exp a) 3)))))
#s(approx (pow (exp b) 3) #s(hole binary64 1))
#s(approx (pow (exp b) 3) #s(hole binary64 (+ 1 (* 3 b))))
#s(approx (pow (exp b) 3) #s(hole binary64 (+ 1 (* b (+ 3 (* 9/2 b))))))
#s(approx (pow (exp b) 3) #s(hole binary64 (+ 1 (* b (+ 3 (* b (+ 9/2 (* 9/2 b))))))))
#s(approx (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))) #s(hole binary64 (- (+ 1 (pow (exp a) 2)) (exp a))))
#s(approx (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))) #s(hole binary64 (- (+ 1 (+ (* b (- 2 (exp a))) (pow (exp a) 2))) (exp a))))
#s(approx (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))) #s(hole binary64 (- (+ 1 (+ (* b (- (+ 2 (* b (- 2 (* 1/2 (exp a))))) (exp a))) (pow (exp a) 2))) (exp a))))
#s(approx (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))) #s(hole binary64 (- (+ 1 (+ (* b (- (+ 2 (* b (- (+ 2 (* b (- 4/3 (* 1/6 (exp a))))) (* 1/2 (exp a))))) (exp a))) (pow (exp a) 2))) (exp a))))
#s(approx (- (pow (exp b) 2) (exp (+ a b))) #s(hole binary64 (- 1 (exp a))))
#s(approx (- (pow (exp b) 2) (exp (+ a b))) #s(hole binary64 (- (+ 1 (* b (- 2 (exp a)))) (exp a))))
#s(approx (- (pow (exp b) 2) (exp (+ a b))) #s(hole binary64 (- (+ 1 (* b (- (+ 2 (* b (- 2 (* 1/2 (exp a))))) (exp a)))) (exp a))))
#s(approx (- (pow (exp b) 2) (exp (+ a b))) #s(hole binary64 (- (+ 1 (* b (- (+ 2 (* b (- (+ 2 (* b (- 4/3 (* 1/6 (exp a))))) (* 1/2 (exp a))))) (exp a)))) (exp a))))
#s(approx (pow (exp b) 2) #s(hole binary64 1))
#s(approx (pow (exp b) 2) #s(hole binary64 (+ 1 (* 2 b))))
#s(approx (pow (exp b) 2) #s(hole binary64 (+ 1 (* b (+ 2 (* 2 b))))))
#s(approx (pow (exp b) 2) #s(hole binary64 (+ 1 (* b (+ 2 (* b (+ 2 (* 4/3 b))))))))
#s(approx (exp (+ a b)) #s(hole binary64 (exp a)))
#s(approx (exp (+ a b)) #s(hole binary64 (+ (exp a) (* b (exp a)))))
#s(approx (exp (+ a b)) #s(hole binary64 (+ (exp a) (* b (+ (exp a) (* 1/2 (* b (exp a))))))))
#s(approx (exp (+ a b)) #s(hole binary64 (+ (exp a) (* b (+ (exp a) (* b (+ (* 1/6 (* b (exp a))) (* 1/2 (exp a)))))))))
#s(approx (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) #s(hole binary64 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 1 (exp b))))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (pow (- (exp b) -1) -2) #s(hole binary64 (/ 1 (pow (+ 1 (exp b)) 2))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* -1 (* b (exp (- a (* 2 (log (+ 1 (exp a))))))))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* b (+ (* -1 (exp (- a (* 2 (log (+ 1 (exp a))))))) (/ (exp a) (* b (+ 1 (exp a))))))))
#s(approx (pow (exp b) 3) #s(hole binary64 (pow (exp b) 3)))
#s(approx (pow (exp b) 2) #s(hole binary64 (pow (exp b) 2)))
#s(approx (+ a b) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* -1 (* b (+ (exp (- a (* 2 (log (+ 1 (exp a)))))) (* -1 (/ (exp a) (* b (+ 1 (exp a))))))))))
#s(approx (/ (exp a) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))))) #s(hole binary64 (/ (* (exp a) (- (+ (pow (exp a) 2) (pow (exp b) 2)) (exp (- a (* -1 b))))) (+ (pow (exp a) 3) (pow (exp b) 3)))))
#s(approx (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b))))) #s(hole binary64 (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (- (+ (pow (exp a) 2) (pow (exp b) 2)) (exp (- a (* -1 b)))))))
#s(approx (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))) #s(hole binary64 (- (+ (pow (exp a) 2) (pow (exp b) 2)) (exp (- a (* -1 b))))))
#s(approx (- (pow (exp b) 2) (exp (+ a b))) #s(hole binary64 (- (pow (exp b) 2) (exp (- a (* -1 b))))))
#s(approx (exp (+ a b)) #s(hole binary64 (exp (- a (* -1 b)))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
Outputs
#s(approx (/ (exp a) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))))) (fma.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a) (*.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) (-.f64 (*.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a) #s(literal 3 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -3 binary64))) (fma.f64 (*.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a) (*.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a) (-.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64)) (*.f64 (*.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))))))
(fma.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (*.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a))
(fma.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))
(fma.f64 a (-.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))
(+.f64 (*.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))
(+.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a))
(/.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64)) (*.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64)))) (+.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))))
(/.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -3 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -6 binary64))) (+.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64)) (fma.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64)) (*.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))))))
(-.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64)))
(*.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -1 binary64))) (sinh.f64 (*.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -1 binary64))))
(/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)) (+.f64 (exp.f64 b) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (exp.f64 b) (exp.f64 b) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) #s(literal -1 binary64)))))
(-.f64 (exp.f64 b) #s(literal -1 binary64))
(exp.f64 b)
(+.f64 (cosh.f64 b) (sinh.f64 b))
b
#s(literal -1 binary64)
(*.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))
(pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))
(exp.f64 (*.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -2 binary64))) (sinh.f64 (*.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -2 binary64))))
#s(literal -2 binary64)
a
#s(approx (/ (exp a) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (exp.f64 a)) (neg.f64 (+.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a))))
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a)))
(exp.f64 a)
(+.f64 (cosh.f64 a) (sinh.f64 a))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) (-.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (*.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))))
(+.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a))
(+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))
#s(approx (exp b) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (exp a) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))))) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (neg.f64 b) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (neg.f64 b)) (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (neg.f64 b))) (*.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))))) (-.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (neg.f64 b)) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
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#s(approx (/ (exp a) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))))) (fma.f64 (-.f64 (fma.f64 (-.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -3 binary64)) (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)) (fma.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -4 binary64)))))) a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (*.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))) a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))))
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)))
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (fma.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))))
#s(approx a a)
#s(approx (exp a) #s(literal 1 binary64))
#s(approx (exp a) (+.f64 #s(literal 1 binary64) a))
#s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
#s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
#s(approx (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b))))) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
#s(approx (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b))))) (+.f64 (+.f64 (exp.f64 b) a) #s(literal 1 binary64)))
#s(approx (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b))))) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (exp.f64 b)) #s(literal 1 binary64)))
#s(approx (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b))))) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a (exp.f64 b)) #s(literal 1 binary64)))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (fma.f64 (neg.f64 b) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 #s(literal 1/4 binary64) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) b) a) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) a (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) b))) a #s(literal 1/4 binary64)) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) #s(literal 1/4 binary64))
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) (fma.f64 (*.f64 (*.f64 a a) #s(literal 1/4 binary64)) #s(literal -1/4 binary64) #s(literal 1/4 binary64)))
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 a a) #s(literal 1/4 binary64)) #s(literal -1/16 binary64)) (*.f64 a a) #s(literal 1/4 binary64)))
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/2880 binary64) (*.f64 (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/96 binary64)) (*.f64 a a) #s(literal -1/16 binary64)) (*.f64 a a) #s(literal 1/4 binary64)))
#s(approx (- a (* (log (+ 1 (exp a))) 2)) (log.f64 #s(literal 1/4 binary64)))
#s(approx (- a (* (log (+ 1 (exp a))) 2)) (fma.f64 (*.f64 a a) #s(literal -1/4 binary64) (log.f64 #s(literal 1/4 binary64))))
#s(approx (- a (* (log (+ 1 (exp a))) 2)) (fma.f64 (-.f64 (*.f64 #s(literal 1/96 binary64) (*.f64 a a)) #s(literal 1/4 binary64)) (*.f64 a a) (log.f64 #s(literal 1/4 binary64))))
#s(approx (- a (* (log (+ 1 (exp a))) 2)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 a a) #s(literal 1/96 binary64)) (*.f64 a a)) #s(literal 1/4 binary64)) (*.f64 a a) (log.f64 #s(literal 1/4 binary64))))
#s(approx (* (log (+ 1 (exp a))) 2) (log.f64 #s(literal 4 binary64)))
#s(approx (* (log (+ 1 (exp a))) 2) (-.f64 a (log.f64 #s(literal 1/4 binary64))))
#s(approx (* (log (+ 1 (exp a))) 2) (fma.f64 (fma.f64 #s(literal 1/4 binary64) a #s(literal 1 binary64)) a (log.f64 #s(literal 4 binary64))))
#s(approx (* (log (+ 1 (exp a))) 2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 a a) #s(literal 1/4 binary64)) a #s(literal 1 binary64)) a (log.f64 #s(literal 4 binary64))))
#s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64)))
#s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))
#s(approx (/ (exp a) (- (exp a) -1)) #s(literal 1/2 binary64))
#s(approx (/ (exp a) (- (exp a) -1)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (- (exp a) -1)) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (- (exp a) -1)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/480 binary64) (*.f64 a a)) #s(literal 1/48 binary64)) (*.f64 a a) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))
#s(approx (- (exp a) -1) #s(literal 2 binary64))
#s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a))
#s(approx (- (exp a) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))
#s(approx (- (exp a) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64)))
#s(approx (/ (exp a) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))))) (/.f64 (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64))))
#s(approx (/ (exp a) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))))) (fma.f64 (-.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 3 binary64) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 (/.f64 (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b)) (pow.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (exp.f64 b)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64))))) a (/.f64 (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))))) (fma.f64 (-.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 4 binary64) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 (/.f64 (exp.f64 b) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64) (fma.f64 (/.f64 (-.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 3 binary64) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 (/.f64 (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b)) (pow.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (exp.f64 b)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64))))) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64) (fma.f64 #s(literal 9/2 binary64) (/.f64 (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b)) (pow.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (exp.f64 b) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64))))))) a (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal 3 binary64) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 (/.f64 (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b)) (pow.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (exp.f64 b)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64))))) a (/.f64 (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))))) (fma.f64 (-.f64 (+.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64) (-.f64 (fma.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1/6 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) (exp.f64 b)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 10/3 binary64) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64))))) (fma.f64 (/.f64 (exp.f64 b) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1/6 binary64) (fma.f64 (/.f64 (exp.f64 b) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64) (fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 4 binary64) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 (/.f64 (exp.f64 b) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64) (fma.f64 (/.f64 (-.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 3 binary64) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 (/.f64 (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b)) (pow.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (exp.f64 b)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64))))) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64) (fma.f64 #s(literal 9/2 binary64) (/.f64 (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b)) (pow.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (exp.f64 b) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64))))))) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64) (*.f64 #s(literal 9/2 binary64) (+.f64 (/.f64 (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b)) (pow.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (-.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 3 binary64) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 (/.f64 (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b)) (pow.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (exp.f64 b)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64))))) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64))))))))) a (/.f64 #s(literal 4 binary64) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 (/.f64 (exp.f64 b) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64) (fma.f64 (/.f64 (-.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 3 binary64) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 (/.f64 (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b)) (pow.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (exp.f64 b)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64))))) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64) (fma.f64 #s(literal 9/2 binary64) (/.f64 (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b)) (pow.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (exp.f64 b) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)))))))) a (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal 3 binary64) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 (/.f64 (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b)) (pow.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (exp.f64 b)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64))))) a (/.f64 (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b))))) (/.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b))))
#s(approx (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b))))) (fma.f64 (-.f64 (/.f64 #s(literal 3 binary64) (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b))) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) (exp.f64 b)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b)) #s(literal 2 binary64)))) a (/.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b)))))
#s(approx (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b))))) (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 #s(literal 9/2 binary64) (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b))) (fma.f64 (-.f64 #s(literal 2 binary64) (exp.f64 b)) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b))) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) (exp.f64 b)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b)) #s(literal 2 binary64)))) (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b))) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 b))) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b)) #s(literal 2 binary64))))) a (/.f64 #s(literal 3 binary64) (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b)))) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) (exp.f64 b)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b)) #s(literal 2 binary64)))) a (/.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b)))))
#s(approx (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b))))) (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 #s(literal 9/2 binary64) (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b))) (fma.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 4/3 binary64) (*.f64 #s(literal 1/6 binary64) (exp.f64 b))) (pow.f64 (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 9/2 binary64) (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b))) (fma.f64 (-.f64 #s(literal 2 binary64) (exp.f64 b)) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b))) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) (exp.f64 b)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b)) #s(literal 2 binary64)))) (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b))) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 b))) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b)) #s(literal 2 binary64))))) (-.f64 #s(literal 2 binary64) (exp.f64 b)) (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 b))) (-.f64 (/.f64 #s(literal 3 binary64) (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b))) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) (exp.f64 b)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b)) #s(literal 2 binary64)))))) (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b))))) a (/.f64 #s(literal 9/2 binary64) (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b)))) (fma.f64 (-.f64 #s(literal 2 binary64) (exp.f64 b)) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b))) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) (exp.f64 b)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b)) #s(literal 2 binary64)))) (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b))) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 b))) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b)) #s(literal 2 binary64))))) a (/.f64 #s(literal 3 binary64) (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b)))) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) (exp.f64 b)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b)) #s(literal 2 binary64)))) a (/.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b)))))
#s(approx (+ (pow (exp a) 3) (pow (exp b) 3)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)))
#s(approx (+ (pow (exp a) 3) (pow (exp b) 3)) (+.f64 (fma.f64 #s(literal 3 binary64) a (pow.f64 (exp.f64 b) #s(literal 3 binary64))) #s(literal 1 binary64)))
#s(approx (+ (pow (exp a) 3) (pow (exp b) 3)) (+.f64 (fma.f64 (fma.f64 #s(literal 9/2 binary64) a #s(literal 3 binary64)) a (pow.f64 (exp.f64 b) #s(literal 3 binary64))) #s(literal 1 binary64)))
#s(approx (+ (pow (exp a) 3) (pow (exp b) 3)) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 9/2 binary64) a #s(literal 9/2 binary64)) a #s(literal 3 binary64)) a (pow.f64 (exp.f64 b) #s(literal 3 binary64))) #s(literal 1 binary64)))
#s(approx (pow (exp a) 3) #s(literal 1 binary64))
#s(approx (pow (exp a) 3) (fma.f64 #s(literal 3 binary64) a #s(literal 1 binary64)))
#s(approx (pow (exp a) 3) (fma.f64 (fma.f64 #s(literal 9/2 binary64) a #s(literal 3 binary64)) a #s(literal 1 binary64)))
#s(approx (pow (exp a) 3) (fma.f64 (fma.f64 (fma.f64 #s(literal 9/2 binary64) a #s(literal 9/2 binary64)) a #s(literal 3 binary64)) a #s(literal 1 binary64)))
#s(approx (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))) (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b)))
#s(approx (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))) (-.f64 (+.f64 (fma.f64 (-.f64 #s(literal 2 binary64) (exp.f64 b)) a (pow.f64 (exp.f64 b) #s(literal 2 binary64))) #s(literal 1 binary64)) (exp.f64 b)))
#s(approx (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))) (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 b))) a #s(literal 2 binary64)) (exp.f64 b)) a (pow.f64 (exp.f64 b) #s(literal 2 binary64))) (exp.f64 b))))
#s(approx (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))) (-.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 #s(literal 4/3 binary64) (*.f64 #s(literal 1/6 binary64) (exp.f64 b))) a #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (exp.f64 b))) a #s(literal 2 binary64)) (exp.f64 b)) a (pow.f64 (exp.f64 b) #s(literal 2 binary64))) #s(literal 1 binary64)) (exp.f64 b)))
#s(approx (- (pow (exp b) 2) (exp (+ a b))) (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (exp.f64 b)))
#s(approx (- (pow (exp b) 2) (exp (+ a b))) (fma.f64 (neg.f64 a) (exp.f64 b) (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (exp.f64 b))))
#s(approx (- (pow (exp b) 2) (exp (+ a b))) (-.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (exp.f64 b) a)) (exp.f64 b)) a (pow.f64 (exp.f64 b) #s(literal 2 binary64))) (exp.f64 b)))
#s(approx (- (pow (exp b) 2) (exp (+ a b))) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (exp.f64 b) (*.f64 #s(literal -1/2 binary64) (exp.f64 b))) a) (exp.f64 b)) a (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (exp.f64 b))))
#s(approx (exp (+ a b)) (exp.f64 b))
#s(approx (exp (+ a b)) (fma.f64 (exp.f64 b) a (exp.f64 b)))
#s(approx (exp (+ a b)) (fma.f64 (fma.f64 (*.f64 (exp.f64 b) a) #s(literal 1/2 binary64) (exp.f64 b)) a (exp.f64 b)))
#s(approx (exp (+ a b)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (exp.f64 b) a) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 b))) a (exp.f64 b)) a (exp.f64 b)))
#s(approx (+ a b) b)
#s(approx (+ a b) (+.f64 b a))
#s(approx (/ (exp a) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))))
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) a))
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (*.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) a) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) a))
#s(approx (exp a) (exp.f64 a))
#s(approx (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b))))) (+.f64 (exp.f64 b) (exp.f64 a)))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (neg.f64 b) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))))
#s(approx (- a (* (log (+ 1 (exp a))) 2)) a)
#s(approx (- a (* (log (+ 1 (exp a))) 2)) (*.f64 (fma.f64 (/.f64 (log1p.f64 (exp.f64 a)) a) #s(literal -2 binary64) #s(literal 1 binary64)) a))
#s(approx (* (log (+ 1 (exp a))) 2) (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))
#s(approx (log (+ 1 (exp a))) (log1p.f64 (exp.f64 a)))
#s(approx (/ (exp a) (- (exp a) -1)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (- (exp a) -1) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
#s(approx (/ (exp a) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))))) (/.f64 (*.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (exp.f64 (+.f64 b a)))) (exp.f64 a)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))))
#s(approx (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b))))) (+.f64 (exp.f64 b) (exp.f64 a)))
#s(approx (+ (pow (exp a) 3) (pow (exp b) 3)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))))
#s(approx (pow (exp a) 3) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))
#s(approx (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))) (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (exp.f64 (+.f64 b a)))))
#s(approx (- (pow (exp b) 2) (exp (+ a b))) (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (exp.f64 (+.f64 b a))))
#s(approx (exp (+ a b)) (exp.f64 (+.f64 b a)))
#s(approx (+ a b) a)
#s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (*.f64 (neg.f64 a) (-.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))) (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) a) #s(literal -1 binary64)))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (fma.f64 (neg.f64 b) (exp.f64 (neg.f64 (fma.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64) (neg.f64 a)))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) (exp.f64 (neg.f64 (fma.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64) (neg.f64 a)))))
#s(approx (- a (* (log (+ 1 (exp a))) 2)) (*.f64 (neg.f64 a) (-.f64 (/.f64 (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) a) #s(literal 1 binary64))))
#s(approx (/ (exp a) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))))) (*.f64 (exp.f64 a) (/.f64 (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (exp.f64 (-.f64 b (neg.f64 a)))) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))))))
#s(approx (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b))))) (/.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))) (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (exp.f64 (-.f64 b (neg.f64 a))))))
#s(approx (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))) (-.f64 (fma.f64 (exp.f64 b) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (exp.f64 (-.f64 b (neg.f64 a)))))
#s(approx (- (pow (exp b) 2) (exp (+ a b))) (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (exp.f64 (-.f64 b (neg.f64 a)))))
#s(approx (exp (+ a b)) (exp.f64 (-.f64 b (neg.f64 a))))
#s(approx (+ a b) (*.f64 (neg.f64 a) (-.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64))))
#s(approx (/ (exp a) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (/ (exp a) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))))) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (neg.f64 b) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (/ (exp a) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))))) (fma.f64 (-.f64 (*.f64 (neg.f64 b) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))))) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))) b (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (/ (exp a) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))))) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (neg.f64 b) (fma.f64 (/.f64 (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1 binary64) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/6 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))))) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))))) b) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))) b (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (+.f64 (fma.f64 #s(literal -1/4 binary64) b (*.f64 #s(literal 1/4 binary64) a)) #s(literal 1/2 binary64)))
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (+.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b a) #s(literal -1/16 binary64)) #s(literal 1/4 binary64)) b (*.f64 #s(literal 1/4 binary64) a)) #s(literal 1/2 binary64)))
#s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (+.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) b (*.f64 #s(literal -1/16 binary64) a)) b) #s(literal 1/4 binary64)) b (*.f64 #s(literal 1/4 binary64) a)) #s(literal 1/2 binary64)))
#s(approx (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) #s(literal 1/4 binary64))
#s(approx (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) (fma.f64 (*.f64 b b) #s(literal -1/16 binary64) #s(literal 1/4 binary64)))
#s(approx (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/96 binary64)) #s(literal 1/16 binary64)) (*.f64 b b) #s(literal 1/4 binary64)))
#s(approx (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -17/11520 binary64) (*.f64 b b) #s(literal 1/96 binary64)) (*.f64 b b)) #s(literal 1/16 binary64)) (*.f64 b b) #s(literal 1/4 binary64)))
#s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64))
#s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
#s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))
#s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))
#s(approx (- (exp b) -1) #s(literal 2 binary64))
#s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))
#s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
#s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
#s(approx (exp b) #s(literal 1 binary64))
#s(approx (exp b) (+.f64 #s(literal 1 binary64) b))
#s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
#s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
#s(approx b b)
#s(approx (pow (- (exp b) -1) -2) #s(literal 1/4 binary64))
#s(approx (pow (- (exp b) -1) -2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/4 binary64)))
#s(approx (pow (- (exp b) -1) -2) (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) b) #s(literal 1/4 binary64)) b #s(literal 1/4 binary64)))
#s(approx (pow (- (exp b) -1) -2) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) b #s(literal 1/16 binary64)) b) #s(literal 1/4 binary64)) b #s(literal 1/4 binary64)))
#s(approx (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b))))) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
#s(approx (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b))))) (+.f64 (+.f64 b (exp.f64 a)) #s(literal 1 binary64)))
#s(approx (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b))))) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (exp.f64 a)) #s(literal 1 binary64)))
#s(approx (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b))))) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b (exp.f64 a)) #s(literal 1 binary64)))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (neg b) (neg.f64 b))
#s(approx (/ (exp a) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))))) (/.f64 (*.f64 (-.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a)) (exp.f64 a)) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))))
#s(approx (/ (exp a) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))))) (fma.f64 (fma.f64 (exp.f64 a) (/.f64 (-.f64 #s(literal 2 binary64) (exp.f64 a)) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal -3 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a)) (exp.f64 a)) (pow.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) b (/.f64 (*.f64 (-.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a)) (exp.f64 a)) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))))) (fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 a))) (exp.f64 a)) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 (fma.f64 (exp.f64 a) (/.f64 (-.f64 #s(literal 2 binary64) (exp.f64 a)) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal -3 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a)) (exp.f64 a)) (pow.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64) (*.f64 (/.f64 (*.f64 (-.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a)) (exp.f64 a)) (pow.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 9/2 binary64)))) b (fma.f64 (exp.f64 a) (/.f64 (-.f64 #s(literal 2 binary64) (exp.f64 a)) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal -3 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a)) (exp.f64 a)) (pow.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))) b (/.f64 (*.f64 (-.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a)) (exp.f64 a)) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))))) (fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 4/3 binary64) (*.f64 #s(literal 1/6 binary64) (exp.f64 a))) (exp.f64 a)) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 a))) (exp.f64 a)) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 (fma.f64 (exp.f64 a) (/.f64 (-.f64 #s(literal 2 binary64) (exp.f64 a)) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal -3 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a)) (exp.f64 a)) (pow.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64) (*.f64 (/.f64 (*.f64 (-.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a)) (exp.f64 a)) (pow.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 9/2 binary64)))) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64) (*.f64 #s(literal 9/2 binary64) (fma.f64 (exp.f64 a) (/.f64 (-.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a)) (pow.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (fma.f64 (exp.f64 a) (/.f64 (-.f64 #s(literal 2 binary64) (exp.f64 a)) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal -3 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a)) (exp.f64 a)) (pow.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))))))) b (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 a))) (exp.f64 a)) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 (fma.f64 (exp.f64 a) (/.f64 (-.f64 #s(literal 2 binary64) (exp.f64 a)) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal -3 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a)) (exp.f64 a)) (pow.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64) (*.f64 (/.f64 (*.f64 (-.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a)) (exp.f64 a)) (pow.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 9/2 binary64))))) b (fma.f64 (exp.f64 a) (/.f64 (-.f64 #s(literal 2 binary64) (exp.f64 a)) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal -3 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a)) (exp.f64 a)) (pow.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))) b (/.f64 (*.f64 (-.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a)) (exp.f64 a)) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b))))) (/.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a))))
#s(approx (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b))))) (fma.f64 (-.f64 (/.f64 #s(literal 3 binary64) (-.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a))) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) (exp.f64 a)) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a)) #s(literal 2 binary64)))) b (/.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a)))))
#s(approx (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b))))) (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 #s(literal 9/2 binary64) (-.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a))) (fma.f64 (-.f64 #s(literal 2 binary64) (exp.f64 a)) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) (-.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a))) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) (exp.f64 a)) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a)) #s(literal 2 binary64)))) (-.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a))) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 a))) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a)) #s(literal 2 binary64))))) b (/.f64 #s(literal 3 binary64) (-.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a)))) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) (exp.f64 a)) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a)) #s(literal 2 binary64)))) b (/.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a)))))
#s(approx (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b))))) (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 #s(literal 9/2 binary64) (-.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a))) (fma.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 4/3 binary64) (*.f64 #s(literal 1/6 binary64) (exp.f64 a))) (pow.f64 (-.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a)) #s(literal 2 binary64))) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 9/2 binary64) (-.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a))) (fma.f64 (-.f64 #s(literal 2 binary64) (exp.f64 a)) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) (-.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a))) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) (exp.f64 a)) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a)) #s(literal 2 binary64)))) (-.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a))) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 a))) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a)) #s(literal 2 binary64))))) (-.f64 #s(literal 2 binary64) (exp.f64 a)) (*.f64 (-.f64 (/.f64 #s(literal 3 binary64) (-.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a))) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) (exp.f64 a)) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a)) #s(literal 2 binary64)))) (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 a))))) (-.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a))))) b (/.f64 #s(literal 9/2 binary64) (-.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a)))) (fma.f64 (-.f64 #s(literal 2 binary64) (exp.f64 a)) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) (-.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a))) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) (exp.f64 a)) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a)) #s(literal 2 binary64)))) (-.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a))) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 a))) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a)) #s(literal 2 binary64))))) b (/.f64 #s(literal 3 binary64) (-.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a)))) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) (exp.f64 a)) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a)) #s(literal 2 binary64)))) b (/.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a)))))
#s(approx (+ (pow (exp a) 3) (pow (exp b) 3)) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)))
#s(approx (+ (pow (exp a) 3) (pow (exp b) 3)) (+.f64 (fma.f64 #s(literal 3 binary64) b (pow.f64 (exp.f64 a) #s(literal 3 binary64))) #s(literal 1 binary64)))
#s(approx (+ (pow (exp a) 3) (pow (exp b) 3)) (+.f64 (fma.f64 (fma.f64 #s(literal 9/2 binary64) b #s(literal 3 binary64)) b (pow.f64 (exp.f64 a) #s(literal 3 binary64))) #s(literal 1 binary64)))
#s(approx (+ (pow (exp a) 3) (pow (exp b) 3)) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 9/2 binary64) b #s(literal 9/2 binary64)) b #s(literal 3 binary64)) b (pow.f64 (exp.f64 a) #s(literal 3 binary64))) #s(literal 1 binary64)))
#s(approx (pow (exp b) 3) #s(literal 1 binary64))
#s(approx (pow (exp b) 3) (fma.f64 #s(literal 3 binary64) b #s(literal 1 binary64)))
#s(approx (pow (exp b) 3) (fma.f64 (fma.f64 #s(literal 9/2 binary64) b #s(literal 3 binary64)) b #s(literal 1 binary64)))
#s(approx (pow (exp b) 3) (fma.f64 (fma.f64 (fma.f64 #s(literal 9/2 binary64) b #s(literal 9/2 binary64)) b #s(literal 3 binary64)) b #s(literal 1 binary64)))
#s(approx (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))) (-.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a)))
#s(approx (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))) (-.f64 (+.f64 (fma.f64 (-.f64 #s(literal 2 binary64) (exp.f64 a)) b (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal 1 binary64)) (exp.f64 a)))
#s(approx (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))) (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 a))) b #s(literal 2 binary64)) (exp.f64 a)) b (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (exp.f64 a))))
#s(approx (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))) (-.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 #s(literal 4/3 binary64) (*.f64 #s(literal 1/6 binary64) (exp.f64 a))) b #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (exp.f64 a))) b #s(literal 2 binary64)) (exp.f64 a)) b #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (exp.f64 a)))
#s(approx (- (pow (exp b) 2) (exp (+ a b))) (-.f64 #s(literal 1 binary64) (exp.f64 a)))
#s(approx (- (pow (exp b) 2) (exp (+ a b))) (-.f64 (fma.f64 (-.f64 #s(literal 2 binary64) (exp.f64 a)) b #s(literal 1 binary64)) (exp.f64 a)))
#s(approx (- (pow (exp b) 2) (exp (+ a b))) (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 a))) b #s(literal 2 binary64)) (exp.f64 a)) b #s(literal 1 binary64)) (exp.f64 a)))
#s(approx (- (pow (exp b) 2) (exp (+ a b))) (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 #s(literal 4/3 binary64) (*.f64 #s(literal 1/6 binary64) (exp.f64 a))) b #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (exp.f64 a))) b #s(literal 2 binary64)) (exp.f64 a)) b #s(literal 1 binary64)) (exp.f64 a)))
#s(approx (pow (exp b) 2) #s(literal 1 binary64))
#s(approx (pow (exp b) 2) (fma.f64 #s(literal 2 binary64) b #s(literal 1 binary64)))
#s(approx (pow (exp b) 2) (fma.f64 (fma.f64 #s(literal 2 binary64) b #s(literal 2 binary64)) b #s(literal 1 binary64)))
#s(approx (pow (exp b) 2) (fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) b #s(literal 2 binary64)) b #s(literal 2 binary64)) b #s(literal 1 binary64)))
#s(approx (exp (+ a b)) (exp.f64 a))
#s(approx (exp (+ a b)) (fma.f64 b (exp.f64 a) (exp.f64 a)))
#s(approx (exp (+ a b)) (fma.f64 (fma.f64 (*.f64 b (exp.f64 a)) #s(literal 1/2 binary64) (exp.f64 a)) b (exp.f64 a)))
#s(approx (exp (+ a b)) (fma.f64 (fma.f64 (fma.f64 (*.f64 b (exp.f64 a)) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 a))) b (exp.f64 a)) b (exp.f64 a)))
#s(approx (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))))
#s(approx (pow (- (exp b) -1) -1) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)))
#s(approx (- (exp b) -1) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
#s(approx (exp b) (exp.f64 b))
#s(approx (pow (- (exp b) -1) -2) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (neg.f64 b)))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (*.f64 (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal -1 binary64) (/.f64 (/.f64 (exp.f64 a) b) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b))
#s(approx (pow (exp b) 3) (pow.f64 (exp.f64 b) #s(literal 3 binary64)))
#s(approx (pow (exp b) 2) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))
#s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (*.f64 (neg.f64 b) (+.f64 (neg.f64 (/.f64 (/.f64 (exp.f64 a) b) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))))))
#s(approx (/ (exp a) (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))))) (*.f64 (exp.f64 a) (/.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (exp.f64 (-.f64 a (neg.f64 b))))) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))))))
#s(approx (/ (+ (pow (exp a) 3) (pow (exp b) 3)) (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b))))) (/.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))) (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (exp.f64 (-.f64 a (neg.f64 b)))))))
#s(approx (+ (* (exp a) (exp a)) (- (pow (exp b) 2) (exp (+ a b)))) (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (exp.f64 (-.f64 a (neg.f64 b))))))
#s(approx (- (pow (exp b) 2) (exp (+ a b))) (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (exp.f64 (-.f64 a (neg.f64 b)))))
#s(approx (exp (+ a b)) (exp.f64 (-.f64 a (neg.f64 b))))
#s(approx (+ a b) (*.f64 (neg.f64 b) (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64))))

eval65.0ms (1.5%)

Memory
15.7MiB live, 60.5MiB allocated; 4ms collecting garbage
Compiler

Compiled 17 515 to 2 095 computations (88% saved)

prune33.0ms (0.8%)

Memory
-33.9MiB live, 20.6MiB allocated; 7ms collecting garbage
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New42110431
Fresh000
Picked415
Done000
Total42511436
Accuracy
100.0%
Counts
436 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓65.7%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
64.0%
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
51.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))) #s(literal -1 binary64)))
▶39.1%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64)))
▶83.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
▶38.9%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
38.3%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
▶39.2%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
▶41.4%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64)))
41.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
39.7%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) a (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) b))) a #s(literal 1/4 binary64)) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))))
Compiler

Compiled 508 to 344 computations (32.3% saved)

series10.0ms (0.2%)

Memory
10.4MiB live, 10.4MiB allocated; 0ms collecting garbage
Counts
29 → 65
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))
#s(literal 1 binary64)
(-.f64 (exp.f64 b) #s(literal -1 binary64))
(exp.f64 b)
b
#s(literal -1 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64)))
#s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
#s(literal -1/4 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))
(-.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64))
(*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b))
(fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64))
#s(literal -1/480 binary64)
(*.f64 b b)
#s(literal 1/48 binary64)
#s(literal 1/4 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64)))
(pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64))
#s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))
(+.f64 #s(literal 2 binary64) b)
#s(literal 2 binary64)
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ (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 (/ 1 (- (exp b) -1)) #s(hole binary64 1/2))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))))
#s(approx (- (exp b) -1) #s(hole binary64 2))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 b)))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (exp b) #s(hole binary64 1))
#s(approx (exp b) #s(hole binary64 (+ 1 b)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx b #s(hole binary64 b))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 1/2))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))))
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(hole binary64 -1/4))
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(hole binary64 (- (* 1/48 (pow b 2)) 1/4)))
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(hole binary64 (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
#s(approx (* (+ (* -1/480 (* b b)) 1/48) (* b b)) #s(hole binary64 (* 1/48 (pow b 2))))
#s(approx (* (+ (* -1/480 (* b b)) 1/48) (* b b)) #s(hole binary64 (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2))))))
#s(approx (+ (* -1/480 (* b b)) 1/48) #s(hole binary64 1/48))
#s(approx (+ (* -1/480 (* b b)) 1/48) #s(hole binary64 (+ 1/48 (* -1/480 (pow b 2)))))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx (+ 2 b) #s(hole binary64 2))
#s(approx (+ 2 b) #s(hole binary64 (+ 2 b)))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 1 (exp b))))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (* -1/4 b)))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (* b (- (* 1/2 (/ 1 b)) 1/4))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (* -1/480 (pow b 5))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (* (pow b 5) (- (* 1/48 (/ 1 (pow b 2))) 1/480))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (* (pow b 5) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (* (pow b 5) (- (+ (* 1/48 (/ 1 (pow b 2))) (* 1/2 (/ 1 (pow b 5)))) (+ 1/480 (/ 1/4 (pow b 4)))))))
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(hole binary64 (* -1/480 (pow b 4))))
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(hole binary64 (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))))
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(hole binary64 (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))))
#s(approx (* (+ (* -1/480 (* b b)) 1/48) (* b b)) #s(hole binary64 (* -1/480 (pow b 4))))
#s(approx (* (+ (* -1/480 (* b b)) 1/48) (* b b)) #s(hole binary64 (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))))
#s(approx (+ (* -1/480 (* b b)) 1/48) #s(hole binary64 (* -1/480 (pow b 2))))
#s(approx (+ (* -1/480 (* b b)) 1/48) #s(hole binary64 (* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))))
#s(approx (+ 2 b) #s(hole binary64 b))
#s(approx (+ 2 b) #s(hole binary64 (* b (+ 1 (* 2 (/ 1 b))))))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (* -1 (* (pow b 5) (- 1/480 (* 1/48 (/ 1 (pow b 2))))))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (* -1 (* (pow b 5) (- (+ 1/480 (/ 1/4 (pow b 4))) (* 1/48 (/ 1 (pow b 2))))))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (* -1 (* (pow b 5) (- (+ 1/480 (/ 1/4 (pow b 4))) (+ (* 1/48 (/ 1 (pow b 2))) (* 1/2 (/ 1 (pow b 5)))))))))
Calls

6 calls:

TimeVariablePointExpression
3.0ms
b
@inf
((/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) 1 (- (exp b) -1) (exp b) b -1 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) 1/2 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (+ (* -1/4 b) 1/2) -1/4 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) (* (+ (* -1/480 (* b b)) 1/48) (* b b)) (+ (* -1/480 (* b b)) 1/48) -1/480 (* b b) 1/48 1/4 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (- (exp b) -1) (+ 2 b) 2)
2.0ms
b
@-inf
((/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) 1 (- (exp b) -1) (exp b) b -1 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) 1/2 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (+ (* -1/4 b) 1/2) -1/4 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) (* (+ (* -1/480 (* b b)) 1/48) (* b b)) (+ (* -1/480 (* b b)) 1/48) -1/480 (* b b) 1/48 1/4 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (- (exp b) -1) (+ 2 b) 2)
1.0ms
b
@0
((/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) 1 (- (exp b) -1) (exp b) b -1 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) 1/2 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (+ (* -1/4 b) 1/2) -1/4 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) (* (+ (* -1/480 (* b b)) 1/48) (* b b)) (+ (* -1/480 (* b b)) 1/48) -1/480 (* b b) 1/48 1/4 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (- (exp b) -1) (+ 2 b) 2)
1.0ms
a
@0
((/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) 1 (- (exp b) -1) (exp b) b -1 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) 1/2 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (+ (* -1/4 b) 1/2) -1/4 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) (* (+ (* -1/480 (* b b)) 1/48) (* b b)) (+ (* -1/480 (* b b)) 1/48) -1/480 (* b b) 1/48 1/4 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (- (exp b) -1) (+ 2 b) 2)
0.0ms
a
@inf
((/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) 1 (- (exp b) -1) (exp b) b -1 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) 1/2 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (+ (* -1/4 b) 1/2) -1/4 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) (* (+ (* -1/480 (* b b)) 1/48) (* b b)) (+ (* -1/480 (* b b)) 1/48) -1/480 (* b b) 1/48 1/4 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (- (exp b) -1) (+ 2 b) 2)

rewrite168.0ms (4%)

Memory
8.3MiB live, 140.4MiB allocated; 15ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02531668
02721584
113391575
081891535
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
94 → 222
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))
#s(literal 1 binary64)
(-.f64 (exp.f64 b) #s(literal -1 binary64))
(exp.f64 b)
b
#s(literal -1 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64)))
#s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
#s(literal -1/4 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))
(-.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64))
(*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b))
(fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64))
#s(literal -1/480 binary64)
(*.f64 b b)
#s(literal 1/48 binary64)
#s(literal 1/4 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64)))
(pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64))
#s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))
(+.f64 #s(literal 2 binary64) b)
#s(literal 2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ (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 (/ 1 (- (exp b) -1)) #s(hole binary64 1/2))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))))
#s(approx (- (exp b) -1) #s(hole binary64 2))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 b)))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (exp b) #s(hole binary64 1))
#s(approx (exp b) #s(hole binary64 (+ 1 b)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx b #s(hole binary64 b))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 1/2))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))))
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(hole binary64 -1/4))
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(hole binary64 (- (* 1/48 (pow b 2)) 1/4)))
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(hole binary64 (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
#s(approx (* (+ (* -1/480 (* b b)) 1/48) (* b b)) #s(hole binary64 (* 1/48 (pow b 2))))
#s(approx (* (+ (* -1/480 (* b b)) 1/48) (* b b)) #s(hole binary64 (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2))))))
#s(approx (+ (* -1/480 (* b b)) 1/48) #s(hole binary64 1/48))
#s(approx (+ (* -1/480 (* b b)) 1/48) #s(hole binary64 (+ 1/48 (* -1/480 (pow b 2)))))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx (+ 2 b) #s(hole binary64 2))
#s(approx (+ 2 b) #s(hole binary64 (+ 2 b)))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 1 (exp b))))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (* -1/4 b)))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (* b (- (* 1/2 (/ 1 b)) 1/4))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (* -1/480 (pow b 5))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (* (pow b 5) (- (* 1/48 (/ 1 (pow b 2))) 1/480))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (* (pow b 5) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (* (pow b 5) (- (+ (* 1/48 (/ 1 (pow b 2))) (* 1/2 (/ 1 (pow b 5)))) (+ 1/480 (/ 1/4 (pow b 4)))))))
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(hole binary64 (* -1/480 (pow b 4))))
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(hole binary64 (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))))
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(hole binary64 (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))))
#s(approx (* (+ (* -1/480 (* b b)) 1/48) (* b b)) #s(hole binary64 (* -1/480 (pow b 4))))
#s(approx (* (+ (* -1/480 (* b b)) 1/48) (* b b)) #s(hole binary64 (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))))
#s(approx (+ (* -1/480 (* b b)) 1/48) #s(hole binary64 (* -1/480 (pow b 2))))
#s(approx (+ (* -1/480 (* b b)) 1/48) #s(hole binary64 (* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))))
#s(approx (+ 2 b) #s(hole binary64 b))
#s(approx (+ 2 b) #s(hole binary64 (* b (+ 1 (* 2 (/ 1 b))))))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (* -1 (* (pow b 5) (- 1/480 (* 1/48 (/ 1 (pow b 2))))))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (* -1 (* (pow b 5) (- (+ 1/480 (/ 1/4 (pow b 4))) (* 1/48 (/ 1 (pow b 2))))))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(hole binary64 (* -1 (* (pow b 5) (- (+ 1/480 (/ 1/4 (pow b 4))) (+ (* 1/48 (/ 1 (pow b 2))) (* 1/2 (/ 1 (pow b 5)))))))))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(pow.f64 (exp.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -1 binary64))) (sinh.f64 (*.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -1 binary64))))
#s(literal 1 binary64)
(/.f64 (neg.f64 (expm1.f64 (+.f64 b b))) (neg.f64 (+.f64 (exp.f64 b) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (exp.f64 b) (exp.f64 b) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) #s(literal -1 binary64))))))
(/.f64 (expm1.f64 (+.f64 b b)) (+.f64 (exp.f64 b) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (exp.f64 b) (exp.f64 b) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) #s(literal -1 binary64)))))
(-.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (+.f64 (exp.f64 b) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (fma.f64 (exp.f64 b) (exp.f64 b) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 b) (exp.f64 b) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) #s(literal -1 binary64))))))
(-.f64 (exp.f64 b) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 b) (cosh.f64 b)) (*.f64 (sinh.f64 b) (sinh.f64 b))) (-.f64 (cosh.f64 b) (sinh.f64 b)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 b) #s(literal 3 binary64)) (pow.f64 (sinh.f64 b) #s(literal 3 binary64))) (fma.f64 (cosh.f64 b) (cosh.f64 b) (-.f64 (*.f64 (sinh.f64 b) (sinh.f64 b)) (*.f64 (cosh.f64 b) (sinh.f64 b)))))
(exp.f64 b)
(+.f64 (cosh.f64 b) (sinh.f64 b))
b
#s(literal -1 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64)))
#s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) b) (*.f64 #s(literal 1/4 binary64) b))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) b)))
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/4 binary64) b) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) b) (*.f64 #s(literal 1/4 binary64) b) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) b)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))))
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#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) b) b) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) #s(literal -1/4 binary64))
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 b b)) #s(literal 1/4 binary64)))
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) b) b) #s(literal 1/4 binary64)))
#s(approx (* (+ (* -1/480 (* b b)) 1/48) (* b b)) (*.f64 #s(literal 1/48 binary64) (*.f64 b b)))
#s(approx (* (+ (* -1/480 (* b b)) 1/48) (* b b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) b) b))
#s(approx (+ (* -1/480 (* b b)) 1/48) #s(literal 1/48 binary64))
#s(approx (+ (* -1/480 (* b b)) 1/48) (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)))
#s(approx (* b b) (*.f64 b b))
#s(approx (+ 2 b) #s(literal 2 binary64))
#s(approx (+ 2 b) (+.f64 #s(literal 2 binary64) b))
#s(approx (pow (- (exp b) -1) -1) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)))
#s(approx (- (exp b) -1) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
#s(approx (exp b) (exp.f64 b))
#s(approx (pow (- (exp b) -1) -1) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)))
#s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))
#s(approx (+ (* -1/4 b) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/4 binary64)) b))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 5 binary64)) #s(literal -1/480 binary64)))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (*.f64 (-.f64 (*.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 1/48 binary64)) #s(literal 1/480 binary64)) (pow.f64 b #s(literal 5 binary64))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (*.f64 (-.f64 (-.f64 (*.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 1/48 binary64)) #s(literal 1/480 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 b #s(literal 4 binary64)))) (pow.f64 b #s(literal 5 binary64))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (*.f64 (-.f64 (-.f64 (fma.f64 (pow.f64 b #s(literal -5 binary64)) #s(literal 1/2 binary64) (*.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 1/48 binary64))) #s(literal 1/480 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 b #s(literal 4 binary64)))) (pow.f64 b #s(literal 5 binary64))))
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) (*.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal -1/480 binary64)))
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) (*.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (*.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 1/48 binary64)) #s(literal 1/480 binary64))))
#s(approx (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) (*.f64 (-.f64 (-.f64 (*.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 1/48 binary64)) #s(literal 1/480 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 b #s(literal 4 binary64)))) (pow.f64 b #s(literal 4 binary64))))
#s(approx (* (+ (* -1/480 (* b b)) 1/48) (* b b)) (*.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal -1/480 binary64)))
#s(approx (* (+ (* -1/480 (* b b)) 1/48) (* b b)) (*.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (*.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 1/48 binary64)) #s(literal 1/480 binary64))))
#s(approx (+ (* -1/480 (* b b)) 1/48) (*.f64 (*.f64 b b) #s(literal -1/480 binary64)))
#s(approx (+ (* -1/480 (* b b)) 1/48) (*.f64 (-.f64 (*.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 1/48 binary64)) #s(literal 1/480 binary64)) (*.f64 b b)))
#s(approx (+ 2 b) b)
#s(approx (+ 2 b) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) #s(literal 1 binary64)) b))
#s(approx (+ (* -1/4 b) 1/2) (neg.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) b)) b)))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (neg.f64 (*.f64 (-.f64 #s(literal 1/480 binary64) (*.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 1/48 binary64))) (pow.f64 b #s(literal 5 binary64)))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (neg.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 b #s(literal 4 binary64))) #s(literal 1/480 binary64)) (*.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 1/48 binary64))) (pow.f64 b #s(literal 5 binary64)))))
#s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (neg.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 b #s(literal 4 binary64))) #s(literal 1/480 binary64)) (fma.f64 (pow.f64 b #s(literal -5 binary64)) #s(literal 1/2 binary64) (*.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 1/48 binary64)))) (pow.f64 b #s(literal 5 binary64)))))

eval33.0ms (0.8%)

Memory
-9.7MiB live, 42.7MiB allocated; 10ms collecting garbage
Compiler

Compiled 7 917 to 1 224 computations (84.5% saved)

prune10.0ms (0.2%)

Memory
17.2MiB live, 17.2MiB allocated; 0ms collecting garbage
Pruning

14 alts after pruning (9 fresh and 5 done)

PrunedKeptTotal
New2075212
Fresh145
Picked145
Done011
Total20914223
Accuracy
100.0%
Counts
223 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓65.7%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
▶64.0%
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
✓83.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
55.1%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
▶51.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
▶39.1%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
✓38.9%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
38.3%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
✓39.2%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
13.7%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 5 binary64)) #s(literal -1/480 binary64)))))
▶3.9%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
✓41.4%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64)))
41.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
▶39.7%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) a (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) b))) a #s(literal 1/4 binary64)) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))))
Compiler

Compiled 605 to 410 computations (32.2% saved)

series25.0ms (0.6%)

Memory
-12.4MiB live, 33.4MiB allocated; 4ms collecting garbage
Counts
36 → 132
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
(exp.f64 a)
a
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))
#s(approx (exp a) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (exp b) #s(literal 1 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b)))
#s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))
(*.f64 #s(literal -1/4 binary64) b)
#s(literal -1/4 binary64)
b
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)))
#s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))
(+.f64 #s(literal 2 binary64) b)
#s(literal 2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))
#s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) a (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) b))) a #s(literal 1/4 binary64)) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) a (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) b))) a #s(literal 1/4 binary64)) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))
(+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) a (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) b))) a #s(literal 1/4 binary64)) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) a (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) b))) a #s(literal 1/4 binary64)) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64)))
(fma.f64 (fma.f64 #s(literal -1/48 binary64) a (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) b))) a #s(literal 1/4 binary64))
(fma.f64 #s(literal -1/48 binary64) a (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) b)))
#s(literal -1/48 binary64)
(*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) b))
#s(literal 1/4 binary64)
(*.f64 #s(literal 1/4 binary64) b)
(*.f64 (neg.f64 b) #s(literal 1/4 binary64))
(neg.f64 b)
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (exp a) #s(hole binary64 1))
#s(approx (exp a) #s(hole binary64 (+ 1 a)))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx a #s(hole binary64 a))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (* -1 (* b (exp (neg (* 2 (log 2)))))))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* -1 (* b (exp (neg (* 2 (log 2)))))) (* 1/4 a)))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* -1 (* b (exp (neg (* 2 (log 2)))))) (* a (+ 1/4 (* 1/4 (* a (* b (exp (neg (* 2 (log 2)))))))))))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* -1 (* b (exp (neg (* 2 (log 2)))))) (* a (+ 1/4 (* a (+ (* -1/48 a) (* 1/4 (* b (exp (neg (* 2 (log 2))))))))))))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* 1/4 a)))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* a (+ 1/4 (* 1/16 (* a b))))))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* a (+ 1/4 (* a (+ (* -1/48 a) (* 1/16 b)))))))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* -1/4 b)))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (+ (* -1/4 b) (* 1/4 a))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (+ (* -1/4 b) (* a (+ 1/4 (* 1/16 (* a b)))))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (+ (* -1/4 b) (* a (+ 1/4 (* a (+ (* -1/48 a) (* 1/16 b))))))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 1/4))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (+ 1/4 (* 1/16 (* a b)))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (+ 1/4 (* a (+ (* -1/48 a) (* 1/16 b))))))
#s(approx (+ (* -1/48 a) (* 1/4 (* 1/4 b))) #s(hole binary64 (* 1/16 b)))
#s(approx (+ (* -1/48 a) (* 1/4 (* 1/4 b))) #s(hole binary64 (+ (* -1/48 a) (* 1/16 b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ (exp a) (exp b)))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ (* -1 (* b (exp (- a (* 2 (log (+ 1 (exp a)))))))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* -1/48 (pow a 3))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* (pow a 3) (- (* 1/16 (/ b a)) 1/48))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* (pow a 3) (- (+ (* 1/16 (/ b a)) (/ 1/4 (pow a 2))) 1/48))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* (pow a 3) (- (+ (* -1/4 (/ b (pow a 3))) (+ (* 1/16 (/ b a)) (+ (/ 1/4 (pow a 2)) (* 1/2 (/ 1 (pow a 3)))))) 1/48))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* -1/48 (pow a 3))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* (pow a 3) (- (* 1/16 (/ b a)) 1/48))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* (pow a 3) (- (+ (* 1/16 (/ b a)) (/ 1/4 (pow a 2))) 1/48))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* (pow a 3) (- (+ (* -1/4 (/ b (pow a 3))) (+ (* 1/16 (/ b a)) (/ 1/4 (pow a 2)))) 1/48))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (* -1/48 (pow a 2))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (* (pow a 2) (- (* 1/16 (/ b a)) 1/48))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (* (pow a 2) (- (+ (* 1/16 (/ b a)) (/ 1/4 (pow a 2))) 1/48))))
#s(approx (+ (* -1/48 a) (* 1/4 (* 1/4 b))) #s(hole binary64 (* -1/48 a)))
#s(approx (+ (* -1/48 a) (* 1/4 (* 1/4 b))) #s(hole binary64 (* a (- (* 1/16 (/ b a)) 1/48))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ (* -1 (* b (exp (neg (+ (* -1 a) (* 2 (log (+ 1 (exp a))))))))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* -1 (* (pow a 3) (+ 1/48 (* -1/16 (/ b a)))))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ (* 1/16 b) (* 1/4 (/ 1 a))) a)))))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ 1/2 (* -1/4 b)) a)) 1/4) a)) (* 1/16 b)) a)))))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* -1 (* (pow a 3) (+ 1/48 (* -1/16 (/ b a)))))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ (* 1/16 b) (* 1/4 (/ 1 a))) a)))))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ (* -1 (/ (- (* 1/4 (/ b a)) 1/4) a)) (* 1/16 b)) a)))))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (* (pow a 2) (- (* -1 (/ (- (* -1/16 b) (* 1/4 (/ 1 a))) a)) 1/48))))
#s(approx (+ (* -1/48 a) (* 1/4 (* 1/4 b))) #s(hole binary64 (* -1 (* a (+ 1/48 (* -1/16 (/ b a)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (exp b) #s(hole binary64 1))
#s(approx (exp b) #s(hole binary64 (+ 1 b)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 1/2))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (* -1/4 b) #s(hole binary64 (* -1/4 b)))
#s(approx b #s(hole binary64 b))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 1/2))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))))
#s(approx (- (exp b) -1) #s(hole binary64 2))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 b)))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (+ 2 b) #s(hole binary64 2))
#s(approx (+ 2 b) #s(hole binary64 (+ 2 b)))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 2))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (+ 2 b)))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (+ 1 (* 1/2 b))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (+ 1/2 (+ (* a (+ 1/4 (* -1/48 (pow a 2)))) (* b (- (* 1/16 (pow a 2)) 1/4))))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* a (+ 1/4 (* -1/48 (pow a 2))))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (+ (* a (+ 1/4 (* -1/48 (pow a 2)))) (* b (- (* 1/16 (pow a 2)) 1/4)))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (+ 1/4 (* -1/48 (pow a 2)))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (+ 1/4 (+ (* -1/48 (pow a 2)) (* 1/16 (* a b))))))
#s(approx (* 1/4 (* 1/4 b)) #s(hole binary64 (* 1/16 b)))
#s(approx (* 1/4 b) #s(hole binary64 (* 1/4 b)))
#s(approx (* (neg b) 1/4) #s(hole binary64 (* -1/4 b)))
#s(approx (neg b) #s(hole binary64 (* -1 b)))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (* -1/4 b)))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (* b (- (* 1/2 (/ 1 b)) 1/4))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ 2 b) #s(hole binary64 b))
#s(approx (+ 2 b) #s(hole binary64 (* b (+ 1 (* 2 (/ 1 b))))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (* 1/2 (pow b 2))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (* (pow b 2) (+ 1/2 (/ 1 b)))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (* 1/2 b)))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (* b (+ 1/2 (/ 1 b)))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* -1 (* b (exp (- a (* 2 (log (+ 1 (exp a))))))))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* b (+ (* -1 (exp (- a (* 2 (log (+ 1 (exp a))))))) (/ (exp a) (* b (+ 1 (exp a))))))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* b (- (* 1/16 (pow a 2)) 1/4))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* b (- (+ (* 1/16 (pow a 2)) (+ (* 1/2 (/ 1 b)) (/ (* a (+ 1/4 (* -1/48 (pow a 2)))) b))) 1/4))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* b (- (* 1/16 (pow a 2)) 1/4))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* b (- (+ (* 1/16 (pow a 2)) (/ (* a (+ 1/4 (* -1/48 (pow a 2)))) b)) 1/4))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (* 1/16 (* a b))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (* b (+ (* -1/48 (/ (pow a 2) b)) (+ (* 1/16 a) (* 1/4 (/ 1 b)))))))
#s(approx (+ (* -1/48 a) (* 1/4 (* 1/4 b))) #s(hole binary64 (* b (+ 1/16 (* -1/48 (/ a b))))))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* -1 (* b (+ (exp (- a (* 2 (log (+ 1 (exp a)))))) (* -1 (/ (exp a) (* b (+ 1 (exp a))))))))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* -1 (* b (+ 1/4 (* -1/16 (pow a 2)))))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* -1 (* b (+ 1/4 (+ (* -1 (/ (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2))))) b)) (* -1/16 (pow a 2))))))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* -1 (* b (+ 1/4 (* -1/16 (pow a 2)))))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* -1 (* b (+ 1/4 (+ (* -1 (/ (* a (+ 1/4 (* -1/48 (pow a 2)))) b)) (* -1/16 (pow a 2))))))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (* -1 (* b (+ (* -1 (/ (+ 1/4 (* -1/48 (pow a 2))) b)) (* -1/16 a))))))
#s(approx (+ (* -1/48 a) (* 1/4 (* 1/4 b))) #s(hole binary64 (* -1 (* b (- (* 1/48 (/ a b)) 1/16)))))
Calls

6 calls:

TimeVariablePointExpression
7.0ms
b
@-inf
((/ (exp a) (+ (exp a) (exp b))) (exp a) a (+ (exp a) (exp b)) (exp a) 1 (exp b) (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (+ (* -1/4 b) 1/2) (* -1/4 b) -1/4 b (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ 2 b) 2 (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ (* (+ (* 1/2 b) 1) b) 2) (+ (* 1/2 b) 1) 1/2 (/ (exp a) (+ (exp a) (exp b))) (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (+ (* -1/48 a) (* 1/4 (* 1/4 b))) -1/48 (* 1/4 (* 1/4 b)) 1/4 (* 1/4 b) (* (neg b) 1/4) (neg b))
5.0ms
b
@inf
((/ (exp a) (+ (exp a) (exp b))) (exp a) a (+ (exp a) (exp b)) (exp a) 1 (exp b) (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (+ (* -1/4 b) 1/2) (* -1/4 b) -1/4 b (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ 2 b) 2 (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ (* (+ (* 1/2 b) 1) b) 2) (+ (* 1/2 b) 1) 1/2 (/ (exp a) (+ (exp a) (exp b))) (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (+ (* -1/48 a) (* 1/4 (* 1/4 b))) -1/48 (* 1/4 (* 1/4 b)) 1/4 (* 1/4 b) (* (neg b) 1/4) (neg b))
4.0ms
b
@0
((/ (exp a) (+ (exp a) (exp b))) (exp a) a (+ (exp a) (exp b)) (exp a) 1 (exp b) (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (+ (* -1/4 b) 1/2) (* -1/4 b) -1/4 b (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ 2 b) 2 (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ (* (+ (* 1/2 b) 1) b) 2) (+ (* 1/2 b) 1) 1/2 (/ (exp a) (+ (exp a) (exp b))) (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (+ (* -1/48 a) (* 1/4 (* 1/4 b))) -1/48 (* 1/4 (* 1/4 b)) 1/4 (* 1/4 b) (* (neg b) 1/4) (neg b))
2.0ms
a
@inf
((/ (exp a) (+ (exp a) (exp b))) (exp a) a (+ (exp a) (exp b)) (exp a) 1 (exp b) (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (+ (* -1/4 b) 1/2) (* -1/4 b) -1/4 b (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ 2 b) 2 (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ (* (+ (* 1/2 b) 1) b) 2) (+ (* 1/2 b) 1) 1/2 (/ (exp a) (+ (exp a) (exp b))) (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (+ (* -1/48 a) (* 1/4 (* 1/4 b))) -1/48 (* 1/4 (* 1/4 b)) 1/4 (* 1/4 b) (* (neg b) 1/4) (neg b))
2.0ms
a
@-inf
((/ (exp a) (+ (exp a) (exp b))) (exp a) a (+ (exp a) (exp b)) (exp a) 1 (exp b) (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (+ (* -1/4 b) 1/2) (* -1/4 b) -1/4 b (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ 2 b) 2 (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ (* (+ (* 1/2 b) 1) b) 2) (+ (* 1/2 b) 1) 1/2 (/ (exp a) (+ (exp a) (exp b))) (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (+ (* -1/48 a) (* 1/4 (* 1/4 b))) -1/48 (* 1/4 (* 1/4 b)) 1/4 (* 1/4 b) (* (neg b) 1/4) (neg b))

rewrite188.0ms (4.5%)

Memory
-0.9MiB live, 185.4MiB allocated; 53ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05283526
05513254
130903240
085463063
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
168 → 287
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
(exp.f64 a)
a
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))
#s(approx (exp a) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (exp b) #s(literal 1 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b)))
#s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))
(*.f64 #s(literal -1/4 binary64) b)
#s(literal -1/4 binary64)
b
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)))
#s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))
(+.f64 #s(literal 2 binary64) b)
#s(literal 2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))
#s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) a (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) b))) a #s(literal 1/4 binary64)) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) a (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) b))) a #s(literal 1/4 binary64)) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))
(+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) a (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) b))) a #s(literal 1/4 binary64)) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) a (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) b))) a #s(literal 1/4 binary64)) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64)))
(fma.f64 (fma.f64 #s(literal -1/48 binary64) a (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) b))) a #s(literal 1/4 binary64))
(fma.f64 #s(literal -1/48 binary64) a (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) b)))
#s(literal -1/48 binary64)
(*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) b))
#s(literal 1/4 binary64)
(*.f64 #s(literal 1/4 binary64) b)
(*.f64 (neg.f64 b) #s(literal 1/4 binary64))
(neg.f64 b)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (exp a) #s(hole binary64 1))
#s(approx (exp a) #s(hole binary64 (+ 1 a)))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx a #s(hole binary64 a))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (* -1 (* b (exp (neg (* 2 (log 2)))))))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* -1 (* b (exp (neg (* 2 (log 2)))))) (* 1/4 a)))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* -1 (* b (exp (neg (* 2 (log 2)))))) (* a (+ 1/4 (* 1/4 (* a (* b (exp (neg (* 2 (log 2)))))))))))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* -1 (* b (exp (neg (* 2 (log 2)))))) (* a (+ 1/4 (* a (+ (* -1/48 a) (* 1/4 (* b (exp (neg (* 2 (log 2))))))))))))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* 1/4 a)))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* a (+ 1/4 (* 1/16 (* a b))))))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* a (+ 1/4 (* a (+ (* -1/48 a) (* 1/16 b)))))))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* -1/4 b)))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (+ (* -1/4 b) (* 1/4 a))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (+ (* -1/4 b) (* a (+ 1/4 (* 1/16 (* a b)))))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (+ (* -1/4 b) (* a (+ 1/4 (* a (+ (* -1/48 a) (* 1/16 b))))))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 1/4))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (+ 1/4 (* 1/16 (* a b)))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (+ 1/4 (* a (+ (* -1/48 a) (* 1/16 b))))))
#s(approx (+ (* -1/48 a) (* 1/4 (* 1/4 b))) #s(hole binary64 (* 1/16 b)))
#s(approx (+ (* -1/48 a) (* 1/4 (* 1/4 b))) #s(hole binary64 (+ (* -1/48 a) (* 1/16 b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ (exp a) (exp b)))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ (* -1 (* b (exp (- a (* 2 (log (+ 1 (exp a)))))))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* -1/48 (pow a 3))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* (pow a 3) (- (* 1/16 (/ b a)) 1/48))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* (pow a 3) (- (+ (* 1/16 (/ b a)) (/ 1/4 (pow a 2))) 1/48))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* (pow a 3) (- (+ (* -1/4 (/ b (pow a 3))) (+ (* 1/16 (/ b a)) (+ (/ 1/4 (pow a 2)) (* 1/2 (/ 1 (pow a 3)))))) 1/48))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* -1/48 (pow a 3))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* (pow a 3) (- (* 1/16 (/ b a)) 1/48))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* (pow a 3) (- (+ (* 1/16 (/ b a)) (/ 1/4 (pow a 2))) 1/48))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* (pow a 3) (- (+ (* -1/4 (/ b (pow a 3))) (+ (* 1/16 (/ b a)) (/ 1/4 (pow a 2)))) 1/48))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (* -1/48 (pow a 2))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (* (pow a 2) (- (* 1/16 (/ b a)) 1/48))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (* (pow a 2) (- (+ (* 1/16 (/ b a)) (/ 1/4 (pow a 2))) 1/48))))
#s(approx (+ (* -1/48 a) (* 1/4 (* 1/4 b))) #s(hole binary64 (* -1/48 a)))
#s(approx (+ (* -1/48 a) (* 1/4 (* 1/4 b))) #s(hole binary64 (* a (- (* 1/16 (/ b a)) 1/48))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ (* -1 (* b (exp (neg (+ (* -1 a) (* 2 (log (+ 1 (exp a))))))))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* -1 (* (pow a 3) (+ 1/48 (* -1/16 (/ b a)))))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ (* 1/16 b) (* 1/4 (/ 1 a))) a)))))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ 1/2 (* -1/4 b)) a)) 1/4) a)) (* 1/16 b)) a)))))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* -1 (* (pow a 3) (+ 1/48 (* -1/16 (/ b a)))))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ (* 1/16 b) (* 1/4 (/ 1 a))) a)))))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ (* -1 (/ (- (* 1/4 (/ b a)) 1/4) a)) (* 1/16 b)) a)))))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (* (pow a 2) (- (* -1 (/ (- (* -1/16 b) (* 1/4 (/ 1 a))) a)) 1/48))))
#s(approx (+ (* -1/48 a) (* 1/4 (* 1/4 b))) #s(hole binary64 (* -1 (* a (+ 1/48 (* -1/16 (/ b a)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (exp b) #s(hole binary64 1))
#s(approx (exp b) #s(hole binary64 (+ 1 b)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 1/2))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (* -1/4 b) #s(hole binary64 (* -1/4 b)))
#s(approx b #s(hole binary64 b))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 1/2))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))))
#s(approx (- (exp b) -1) #s(hole binary64 2))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 b)))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (+ 2 b) #s(hole binary64 2))
#s(approx (+ 2 b) #s(hole binary64 (+ 2 b)))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 2))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (+ 2 b)))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (+ 1 (* 1/2 b))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (+ 1/2 (+ (* a (+ 1/4 (* -1/48 (pow a 2)))) (* b (- (* 1/16 (pow a 2)) 1/4))))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* a (+ 1/4 (* -1/48 (pow a 2))))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (+ (* a (+ 1/4 (* -1/48 (pow a 2)))) (* b (- (* 1/16 (pow a 2)) 1/4)))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (+ 1/4 (* -1/48 (pow a 2)))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (+ 1/4 (+ (* -1/48 (pow a 2)) (* 1/16 (* a b))))))
#s(approx (* 1/4 (* 1/4 b)) #s(hole binary64 (* 1/16 b)))
#s(approx (* 1/4 b) #s(hole binary64 (* 1/4 b)))
#s(approx (* (neg b) 1/4) #s(hole binary64 (* -1/4 b)))
#s(approx (neg b) #s(hole binary64 (* -1 b)))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (* -1/4 b)))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (* b (- (* 1/2 (/ 1 b)) 1/4))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ 2 b) #s(hole binary64 b))
#s(approx (+ 2 b) #s(hole binary64 (* b (+ 1 (* 2 (/ 1 b))))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (* 1/2 (pow b 2))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (* (pow b 2) (+ 1/2 (/ 1 b)))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (* 1/2 b)))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (* b (+ 1/2 (/ 1 b)))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* -1 (* b (exp (- a (* 2 (log (+ 1 (exp a))))))))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* b (+ (* -1 (exp (- a (* 2 (log (+ 1 (exp a))))))) (/ (exp a) (* b (+ 1 (exp a))))))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* b (- (* 1/16 (pow a 2)) 1/4))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* b (- (+ (* 1/16 (pow a 2)) (+ (* 1/2 (/ 1 b)) (/ (* a (+ 1/4 (* -1/48 (pow a 2)))) b))) 1/4))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* b (- (* 1/16 (pow a 2)) 1/4))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* b (- (+ (* 1/16 (pow a 2)) (/ (* a (+ 1/4 (* -1/48 (pow a 2)))) b)) 1/4))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (* 1/16 (* a b))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (* b (+ (* -1/48 (/ (pow a 2) b)) (+ (* 1/16 a) (* 1/4 (/ 1 b)))))))
#s(approx (+ (* -1/48 a) (* 1/4 (* 1/4 b))) #s(hole binary64 (* b (+ 1/16 (* -1/48 (/ a b))))))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* -1 (* b (+ (exp (- a (* 2 (log (+ 1 (exp a)))))) (* -1 (/ (exp a) (* b (+ 1 (exp a))))))))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* -1 (* b (+ 1/4 (* -1/16 (pow a 2)))))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) #s(hole binary64 (* -1 (* b (+ 1/4 (+ (* -1 (/ (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2))))) b)) (* -1/16 (pow a 2))))))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* -1 (* b (+ 1/4 (* -1/16 (pow a 2)))))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) #s(hole binary64 (* -1 (* b (+ 1/4 (+ (* -1 (/ (* a (+ 1/4 (* -1/48 (pow a 2)))) b)) (* -1/16 (pow a 2))))))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(hole binary64 (* -1 (* b (+ (* -1 (/ (+ 1/4 (* -1/48 (pow a 2))) b)) (* -1/16 a))))))
#s(approx (+ (* -1/48 a) (* 1/4 (* 1/4 b))) #s(hole binary64 (* -1 (* b (- (* 1/48 (/ a b)) 1/16)))))
Outputs
(/.f64 (neg.f64 (neg.f64 (exp.f64 a))) (neg.f64 (neg.f64 (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))))))
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#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) b (*.f64 #s(literal -1/48 binary64) a)) a #s(literal 1/4 binary64)) a (*.f64 #s(literal -1/4 binary64) b)) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (*.f64 #s(literal -1/4 binary64) b))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (fma.f64 #s(literal 1/4 binary64) a (*.f64 #s(literal -1/4 binary64) b)))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (fma.f64 (fma.f64 (*.f64 b a) #s(literal 1/16 binary64) #s(literal 1/4 binary64)) a (*.f64 #s(literal -1/4 binary64) b)))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) b (*.f64 #s(literal -1/48 binary64) a)) a #s(literal 1/4 binary64)) a (*.f64 #s(literal -1/4 binary64) b)))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) #s(literal 1/4 binary64))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (fma.f64 (*.f64 b a) #s(literal 1/16 binary64) #s(literal 1/4 binary64)))
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#s(approx (+ (* -1/48 a) (* 1/4 (* 1/4 b))) (*.f64 #s(literal 1/16 binary64) b))
#s(approx (+ (* -1/48 a) (* 1/4 (* 1/4 b))) (fma.f64 #s(literal 1/16 binary64) b (*.f64 #s(literal -1/48 binary64) a)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))))
#s(approx (exp a) (exp.f64 a))
#s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 b) (exp.f64 a)))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (neg.f64 b) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/48 binary64)))
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#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (*.f64 (*.f64 a a) #s(literal -1/48 binary64)))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (*.f64 (*.f64 a a) (-.f64 (*.f64 (/.f64 b a) #s(literal 1/16 binary64)) #s(literal 1/48 binary64))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (*.f64 (-.f64 (fma.f64 (/.f64 b a) #s(literal 1/16 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 a a))) #s(literal 1/48 binary64)) (*.f64 a a)))
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#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (*.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) (fma.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) b (/.f64 #s(literal 1/4 binary64) a)) a) #s(literal -1 binary64) #s(literal 1/48 binary64))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (*.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) (fma.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) b (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a)) #s(literal 1/4 binary64)) a))) a) #s(literal -1 binary64) #s(literal 1/48 binary64))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (*.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) (fma.f64 #s(literal -1/16 binary64) (/.f64 b a) #s(literal 1/48 binary64))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (*.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) (fma.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) b (/.f64 #s(literal 1/4 binary64) a)) a) #s(literal -1 binary64) #s(literal 1/48 binary64))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (*.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) (fma.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) b (neg.f64 (/.f64 (-.f64 (*.f64 (/.f64 b a) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) a))) a) #s(literal -1 binary64) #s(literal 1/48 binary64))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (*.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/16 binary64) b) (/.f64 #s(literal 1/4 binary64) a)) a)) #s(literal 1/48 binary64)) (*.f64 a a)))
#s(approx (+ (* -1/48 a) (* 1/4 (* 1/4 b))) (*.f64 (neg.f64 a) (fma.f64 #s(literal -1/16 binary64) (/.f64 b a) #s(literal 1/48 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (neg.f64 b) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (*.f64 (neg.f64 b) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))))) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))) b (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (neg.f64 b) (fma.f64 (/.f64 (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))))) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))) (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/6 binary64))))) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))))) b) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))) b (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (+ (exp a) (exp b)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
#s(approx (+ (exp a) (exp b)) (+.f64 (+.f64 b (exp.f64 a)) #s(literal 1 binary64)))
#s(approx (+ (exp a) (exp b)) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (exp.f64 a)) #s(literal 1 binary64)))
#s(approx (+ (exp a) (exp b)) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b (exp.f64 a)) #s(literal 1 binary64)))
#s(approx (exp b) #s(literal 1 binary64))
#s(approx (exp b) (+.f64 b #s(literal 1 binary64)))
#s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
#s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
#s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64))
#s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
#s(approx (/ 1 (- (exp b) -1)) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))
#s(approx (/ 1 (- (exp b) -1)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))
#s(approx (+ (* -1/4 b) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* -1/4 b) 1/2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
#s(approx (* -1/4 b) (*.f64 #s(literal -1/4 binary64) b))
#s(approx b b)
#s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64))
#s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
#s(approx (/ 1 (- (exp b) -1)) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))
#s(approx (/ 1 (- (exp b) -1)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))
#s(approx (- (exp b) -1) #s(literal 2 binary64))
#s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))
#s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
#s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
#s(approx (+ 2 b) #s(literal 2 binary64))
#s(approx (+ 2 b) (+.f64 #s(literal 2 binary64) b))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(literal 2 binary64))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (+.f64 #s(literal 2 binary64) b))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
#s(approx (+ (* 1/2 b) 1) #s(literal 1 binary64))
#s(approx (+ (* 1/2 b) 1) (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
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#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (+.f64 (fma.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 1/16 binary64)) #s(literal 1/4 binary64)) b (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a)) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (fma.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 1/16 binary64)) #s(literal 1/4 binary64)) b (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a)))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (+.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) (*.f64 (*.f64 b a) #s(literal 1/16 binary64))) #s(literal 1/4 binary64)))
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#s(approx (* 1/4 b) (*.f64 #s(literal 1/4 binary64) b))
#s(approx (* (neg b) 1/4) (*.f64 #s(literal -1/4 binary64) b))
#s(approx (neg b) (neg.f64 b))
#s(approx (exp b) (exp.f64 b))
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#s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))
#s(approx (+ (* -1/4 b) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/4 binary64)) b))
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#s(approx (- (exp b) -1) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
#s(approx (+ 2 b) b)
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#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (fma.f64 (*.f64 b b) #s(literal 1/2 binary64) b))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (+.f64 (+.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 b b))) (*.f64 b b)))
#s(approx (+ (* 1/2 b) 1) (*.f64 #s(literal 1/2 binary64) b))
#s(approx (+ (* 1/2 b) 1) (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (neg.f64 b)))
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#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (*.f64 (-.f64 (fma.f64 (*.f64 a a) #s(literal 1/16 binary64) (/.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)) b)) #s(literal 1/4 binary64)) b))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (*.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 1/16 binary64)) #s(literal 1/4 binary64)) b))
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#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (*.f64 (*.f64 b a) #s(literal 1/16 binary64)))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (*.f64 (fma.f64 (/.f64 (*.f64 a a) b) #s(literal -1/48 binary64) (fma.f64 #s(literal 1/16 binary64) a (/.f64 #s(literal 1/4 binary64) b))) b))
#s(approx (+ (* -1/48 a) (* 1/4 (* 1/4 b))) (*.f64 (fma.f64 (/.f64 a b) #s(literal -1/48 binary64) #s(literal 1/16 binary64)) b))
#s(approx (+ (* -1/4 b) 1/2) (*.f64 (neg.f64 b) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) b))))
#s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (*.f64 (neg.f64 b) (fma.f64 (exp.f64 a) (exp.f64 (*.f64 #s(literal -2 binary64) (log1p.f64 (exp.f64 a)))) (neg.f64 (/.f64 (/.f64 (exp.f64 a) b) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (*.f64 (neg.f64 b) (fma.f64 #s(literal -1/16 binary64) (*.f64 a a) #s(literal 1/4 binary64))))
#s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (*.f64 (neg.f64 b) (+.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 a a) (neg.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)) b))) #s(literal 1/4 binary64))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (*.f64 (neg.f64 b) (fma.f64 #s(literal -1/16 binary64) (*.f64 a a) #s(literal 1/4 binary64))))
#s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (*.f64 (neg.f64 b) (+.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 a a) (neg.f64 (/.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a) b))) #s(literal 1/4 binary64))))
#s(approx (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) (*.f64 (neg.f64 b) (fma.f64 #s(literal -1/16 binary64) a (neg.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) b)))))
#s(approx (+ (* -1/48 a) (* 1/4 (* 1/4 b))) (*.f64 (neg.f64 b) (-.f64 (*.f64 (/.f64 a b) #s(literal 1/48 binary64)) #s(literal 1/16 binary64))))

eval32.0ms (0.8%)

Memory
12.5MiB live, 57.4MiB allocated; 6ms collecting garbage
Compiler

Compiled 11 721 to 1 450 computations (87.6% saved)

prune16.0ms (0.4%)

Memory
32.4MiB live, 32.4MiB allocated; 0ms collecting garbage
Pruning

20 alts after pruning (11 fresh and 9 done)

PrunedKeptTotal
New2507257
Fresh044
Picked145
Done055
Total25120271
Accuracy
100.0%
Counts
271 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓65.7%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
✓64.0%
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
✓83.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
55.1%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
✓51.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
✓39.1%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
16.0%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (fma.f64 (*.f64 b b) #s(literal 1/2 binary64) b)))))
16.4%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))))
3.6%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ 2 b) b))))
✓38.9%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
38.3%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
✓39.2%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
13.7%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 5 binary64)) #s(literal -1/480 binary64)))))
✓3.9%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
✓41.4%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64)))
41.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
41.0%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 #s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/48 binary64))) #s(literal 1/2 binary64))))
41.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))))
17.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (*.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) (fma.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) b (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a)) #s(literal 1/4 binary64)) a))) a) #s(literal -1 binary64) #s(literal 1/48 binary64))))))
13.0%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/48 binary64)))))
Compiler

Compiled 1 485 to 648 computations (56.4% saved)

regimes41.0ms (1%)

Memory
-39.6MiB live, 57.2MiB allocated; 14ms collecting garbage
Counts
28 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ 2 b) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (fma.f64 (*.f64 b b) #s(literal 1/2 binary64) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) a (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) b))) a #s(literal 1/4 binary64)) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/48 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 5 binary64)) #s(literal -1/480 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 #s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/48 binary64))) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))) #s(literal -1 binary64)))
#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 (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (*.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) (fma.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) b (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a)) #s(literal 1/4 binary64)) a))) a) #s(literal -1 binary64) #s(literal 1/48 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (neg.f64 b) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))))
(/.f64 (exp.f64 a) (/.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64))) (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (exp.f64 (+.f64 a b))))))
Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Calls

5 calls:

11.0ms
b
10.0ms
(exp.f64 b)
7.0ms
a
5.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
5.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
99.2%1(exp.f64 b)
99.2%1(exp.f64 a)
99.2%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
99.2%1a
99.2%1b
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes27.0ms (0.6%)

Memory
43.0MiB live, 43.0MiB allocated; 0ms collecting garbage
Counts
24 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ 2 b) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (fma.f64 (*.f64 b b) #s(literal 1/2 binary64) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) a (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) b))) a #s(literal 1/4 binary64)) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/48 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 5 binary64)) #s(literal -1/480 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 #s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/48 binary64))) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))) #s(literal -1 binary64)))
#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 (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (*.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) (fma.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) b (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a)) #s(literal 1/4 binary64)) a))) a) #s(literal -1 binary64) #s(literal 1/48 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
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:

6.0ms
b
6.0ms
a
4.0ms
(exp.f64 a)
4.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
99.5%3(exp.f64 b)
98.4%2(exp.f64 a)
83.8%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
98.4%2a
99.5%3b
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes13.0ms (0.3%)

Memory
-25.8MiB live, 21.0MiB allocated; 2ms collecting garbage
Counts
23 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ 2 b) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (fma.f64 (*.f64 b b) #s(literal 1/2 binary64) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) a (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) b))) a #s(literal 1/4 binary64)) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/48 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 5 binary64)) #s(literal -1/480 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 #s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/48 binary64))) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))) #s(literal -1 binary64)))
#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 (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (*.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) (fma.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) b (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a)) #s(literal 1/4 binary64)) a))) a) #s(literal -1 binary64) #s(literal 1/48 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #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:

6.0ms
a
4.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
97.9%2(exp.f64 a)
98.2%2a
Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes21.0ms (0.5%)

Memory
-11.6MiB live, 35.1MiB allocated; 2ms collecting garbage
Counts
20 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ 2 b) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (fma.f64 (*.f64 b b) #s(literal 1/2 binary64) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) a (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) b))) a #s(literal 1/4 binary64)) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/48 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 5 binary64)) #s(literal -1/480 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 #s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/48 binary64))) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))) #s(literal -1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 5 binary64)) #s(literal -1/480 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
Calls

4 calls:

5.0ms
a
5.0ms
b
5.0ms
(exp.f64 a)
4.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
85.8%2(exp.f64 a)
83.8%1(exp.f64 b)
83.8%1b
86.5%2a
Compiler

Compiled 6 to 10 computations (-66.7% saved)

regimes22.0ms (0.5%)

Memory
40.4MiB live, 40.4MiB allocated; 0ms collecting garbage
Counts
19 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ 2 b) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (fma.f64 (*.f64 b b) #s(literal 1/2 binary64) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) a (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) b))) a #s(literal 1/4 binary64)) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/48 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 5 binary64)) #s(literal -1/480 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 #s(approx (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/48 binary64))) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))) #s(literal -1 binary64)))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* (- (* (+ (* -1/480 (* b b)) 1/48) (* b b)) 1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 5 binary64)) #s(literal -1/480 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
Calls

5 calls:

5.0ms
a
5.0ms
b
4.0ms
(exp.f64 b)
4.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
58.7%2(exp.f64 b)
58.8%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
58.8%2b
60.7%2(exp.f64 a)
60.7%2a
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes13.0ms (0.3%)

Memory
-15.7MiB live, 31.3MiB allocated; 2ms collecting garbage
Counts
16 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ 2 b) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (fma.f64 (*.f64 b b) #s(literal 1/2 binary64) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) a (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) b))) a #s(literal 1/4 binary64)) a (*.f64 (neg.f64 b) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/48 binary64)))))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))))
Calls

3 calls:

5.0ms
a
3.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
3.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
58.8%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
55.1%1(exp.f64 a)
55.1%1a
Compiler

Compiled 11 to 11 computations (0% saved)

regimes19.0ms (0.5%)

Memory
-12.8MiB live, 33.5MiB allocated; 8ms collecting garbage
Counts
11 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ 2 b) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (fma.f64 (*.f64 b b) #s(literal 1/2 binary64) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))))
Calls

5 calls:

7.0ms
(exp.f64 b)
3.0ms
b
3.0ms
a
2.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
2.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
51.8%1(exp.f64 a)
51.8%1a
55.2%2(exp.f64 b)
55.3%2b
55.3%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes8.0ms (0.2%)

Memory
19.0MiB live, 19.0MiB allocated; 0ms collecting garbage
Counts
10 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ 2 b) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (fma.f64 (*.f64 b b) #s(literal 1/2 binary64) b)))))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (fma.f64 (*.f64 b b) #s(literal 1/2 binary64) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))))
Calls

3 calls:

3.0ms
b
2.0ms
(exp.f64 b)
2.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Results
AccuracySegmentsBranch
54.7%2(exp.f64 b)
54.7%2b
54.7%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 11 to 11 computations (0% saved)

regimes3.0ms (0.1%)

Memory
6.5MiB live, 6.5MiB allocated; 0ms collecting garbage
Counts
9 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ 2 b) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))))
Calls

1 calls:

2.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Results
AccuracySegmentsBranch
54.7%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 8 to 6 computations (25% saved)

regimes15.0ms (0.4%)

Memory
-17.4MiB live, 28.4MiB allocated; 5ms collecting garbage
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ 2 b) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* (+ (* (+ (* -1/48 a) (* 1/4 (* 1/4 b))) a) 1/4) a) (* (neg b) 1/4)) 1/2) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))))
Calls

5 calls:

6.0ms
b
3.0ms
a
2.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
2.0ms
(exp.f64 b)
2.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
41.8%1(exp.f64 a)
41.8%1a
41.8%1(exp.f64 b)
41.8%1b
41.8%1(/.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
23.6MiB live, 23.6MiB allocated; 0ms collecting garbage
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ 2 b) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (pow (- (exp b) -1) -1) (pow (- (exp b) -1) -2)) a) (pow (- (exp b) -1) -1)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
Calls

5 calls:

2.0ms
b
2.0ms
a
2.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
2.0ms
(exp.f64 b)
2.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
41.8%1a
41.8%1(exp.f64 a)
41.8%1(exp.f64 b)
41.8%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
41.8%1b
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes9.0ms (0.2%)

Memory
-32.0MiB live, 14.4MiB allocated; 5ms collecting garbage
Accuracy

Total -24.2b remaining (-64.5%)

Threshold costs -24.2b (-64.5%)

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

5 calls:

5.0ms
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
41.4%1(exp.f64 a)
41.4%1a
41.4%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
41.4%1(exp.f64 b)
41.4%1b
Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch13.0ms (0.3%)

Memory
23.8MiB live, 23.8MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
11.0ms
-5.914776214464502e-12
-3.7487979097746206e-20
Samples
6.0ms144×0valid
Compiler

Compiled 236 to 209 computations (11.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-exp: 2.0ms (58.2% of total)
ival-div!: 1.0ms (29.1% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)

bsearch16.0ms (0.4%)

Memory
-25.2MiB live, 20.6MiB allocated; 6ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
15.0ms
-1068345154.538242
-1599649.537922693
Samples
10.0ms128×0valid
Compiler

Compiled 227 to 203 computations (10.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-exp: 2.0ms (63.2% of total)
ival-div!: 1.0ms (31.6% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)

bsearch10.0ms (0.2%)

Memory
20.1MiB live, 20.1MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
9.0ms
-1068345154.538242
-1599649.537922693
Samples
5.0ms112×0valid
Compiler

Compiled 443 to 339 computations (23.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-exp: 2.0ms (72.3% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)
ival-div!: 0.0ms (0% of total)

bsearch4.0ms (0.1%)

Memory
7.9MiB live, 7.9MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
4.0ms
-1068345154.538242
-1599649.537922693
Samples
1.0ms32×0valid
Compiler

Compiled 531 to 387 computations (27.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-exp: 1.0ms (127.9% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)
ival-div!: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.5000004719798332
0.5000370044065171
Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.5000004719798332
0.5000370044065171
Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
1.778649721948499e-49
Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
1.778649721948499e-49
Compiler

Compiled 11 to 11 computations (0% saved)

derivations462.0ms (11%)

Memory
-3.6MiB live, 387.3MiB allocated; 103ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 719 to 132 computations (81.6% saved)

preprocess94.0ms (2.2%)

Memory
-4.7MiB live, 93.6MiB allocated; 18ms collecting garbage
Compiler

Compiled 735 to 145 computations (80.3% saved)

end0.0ms (0%)

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

Profiling

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