Quotient of sum of exps

Time bar (total: 6.5s)

start0.0ms (0%)

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

analyze6.0ms (0.1%)

Memory
9.7MiB live, 9.7MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
50%50%50%0.1%0%0%0%2
75%74.9%25%0.1%0%0%0%3
87.5%87.4%12.5%0.1%0%0%0%4
93.8%93.7%6.2%0.1%0%0%0%5
93.8%93.7%6.2%0.1%0%0%0%6
95.2%93.7%4.7%0.1%0%1.6%0%7
96%93.7%3.9%0.1%0%2.3%0%8
97.2%93.7%2.7%0.1%0%3.5%0%9
97.8%93.7%2.1%0.1%0%4.1%0%10
98.5%93.7%1.5%0.1%0%4.8%0%11
98.8%93.7%1.1%0.1%0%5.1%0%12
Compiler

Compiled 10 to 8 computations (20% saved)

sample4.1s (63.5%)

Memory
-113.2MiB live, 1 815.6MiB allocated; 4.9s collecting garbage
Samples
3.3s8 256×0valid
405.0ms2 867×0exit
Precisions
Click to see histograms. Total time spent on operations: 495.0ms
ival-exp: 387.0ms (78.2% of total)
ival-div!: 73.0ms (14.8% of total)
ival-add!: 32.0ms (6.5% of total)
adjust: 2.0ms (0.4% of total)
Bogosity

preprocess31.0ms (0.5%)

Memory
-1.2MiB live, 45.9MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01856
14656
214756
356351
4326051
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.4%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 14 to 12 computations (14.3% saved)

series11.0ms (0.2%)

Memory
26.3MiB live, 26.3MiB allocated; 0ms collecting garbage
Counts
6 → 30
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(exp.f64 a)
a
(+.f64 (exp.f64 a) (exp.f64 b))
(exp.f64 b)
b
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (exp a) #s(hole binary64 1))
#s(approx (exp a) #s(hole binary64 (+ 1 a)))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx a #s(hole binary64 a))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ (exp a) (exp b)))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (exp b) #s(hole binary64 1))
#s(approx (exp b) #s(hole binary64 (+ 1 b)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx b #s(hole binary64 b))
#s(approx (exp b) #s(hole binary64 (exp b)))
Calls

6 calls:

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

rewrite179.0ms (2.8%)

Memory
16.3MiB live, 293.7MiB allocated; 43ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

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

eval15.0ms (0.2%)

Memory
-37.1MiB live, 17.3MiB allocated; 12ms collecting garbage
Compiler

Compiled 698 to 270 computations (61.3% saved)

prune2.0ms (0%)

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

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New54458
Fresh000
Picked101
Done000
Total55459
Accuracy
99.7%
Counts
59 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
67.7%
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
81.4%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
65.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (neg.f64 b) (exp.f64 (-.f64 a (*.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
81.2%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
Compiler

Compiled 68 to 56 computations (17.6% saved)

series196.0ms (3%)

Memory
4.5MiB live, 295.5MiB allocated; 125ms collecting garbage
Counts
26 → 103
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))) (fma.f64 (neg.f64 b) (exp.f64 (-.f64 a (*.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #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 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(neg.f64 b)
(exp.f64 (-.f64 a (*.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64))))
(-.f64 a (*.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)))
a
(*.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64))
(log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)))
(-.f64 (exp.f64 a) #s(literal -1 binary64))
(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 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64)))
(pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))
#s(literal -2 binary64)
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
#s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64)))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (+ (* (neg b) (exp (- a (* (log (- (exp a) -1)) 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 (- (exp a) -1)) 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 (- (exp a) -1)) 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 (- (exp a) -1)) 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 (- (exp a) -1)) 2))) #s(hole binary64 (exp (neg (* 2 (log 2))))))
#s(approx (exp (- a (* (log (- (exp a) -1)) 2))) #s(hole binary64 (+ (exp (neg (* 2 (log 2)))) (* -1/4 (* (pow a 2) (exp (neg (* 2 (log 2)))))))))
#s(approx (exp (- a (* (log (- (exp a) -1)) 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 (- (exp a) -1)) 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 (- (exp a) -1)) 2)) #s(hole binary64 (* -2 (log 2))))
#s(approx (- a (* (log (- (exp a) -1)) 2)) #s(hole binary64 (- (* -1/4 (pow a 2)) (* 2 (log 2)))))
#s(approx (- a (* (log (- (exp a) -1)) 2)) #s(hole binary64 (- (* (pow a 2) (- (* 1/96 (pow a 2)) 1/4)) (* 2 (log 2)))))
#s(approx (- a (* (log (- (exp a) -1)) 2)) #s(hole binary64 (- (* (pow a 2) (- (* (pow a 2) (+ 1/96 (* -1/1440 (pow a 2)))) 1/4)) (* 2 (log 2)))))
#s(approx a #s(hole binary64 a))
#s(approx (* (log (- (exp a) -1)) 2) #s(hole binary64 (* 2 (log 2))))
#s(approx (* (log (- (exp a) -1)) 2) #s(hole binary64 (+ a (* 2 (log 2)))))
#s(approx (* (log (- (exp a) -1)) 2) #s(hole binary64 (+ (* 2 (log 2)) (* a (+ 1 (* 1/4 a))))))
#s(approx (* (log (- (exp a) -1)) 2) #s(hole binary64 (+ (* 2 (log 2)) (* a (+ 1 (* a (+ 1/4 (* -1/96 (pow a 2)))))))))
#s(approx (log (- (exp a) -1)) #s(hole binary64 (log 2)))
#s(approx (log (- (exp a) -1)) #s(hole binary64 (+ (log 2) (* 1/2 a))))
#s(approx (log (- (exp a) -1)) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* 1/8 a))))))
#s(approx (log (- (exp a) -1)) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))))
#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) #s(hole binary64 1))
#s(approx (exp a) #s(hole binary64 (+ 1 a)))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (/ (exp a) (- (exp a) -1)) #s(hole binary64 1/2))
#s(approx (/ (exp a) (- (exp a) -1)) #s(hole binary64 (+ 1/2 (* 1/4 a))))
#s(approx (/ (exp a) (- (exp a) -1)) #s(hole binary64 (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))))
#s(approx (/ (exp a) (- (exp a) -1)) #s(hole binary64 (+ 1/2 (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))))))
#s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ (exp a) (exp b)))))
#s(approx (+ (* (neg b) (exp (- a (* (log (- (exp a) -1)) 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 (- (exp a) -1)) 2))) #s(hole binary64 (exp (- a (* 2 (log (+ 1 (exp a))))))))
#s(approx (- a (* (log (- (exp a) -1)) 2)) #s(hole binary64 a))
#s(approx (- a (* (log (- (exp a) -1)) 2)) #s(hole binary64 (* a (+ 1 (* -2 (/ (log (+ 1 (exp a))) a))))))
#s(approx (* (log (- (exp a) -1)) 2) #s(hole binary64 (* 2 (log (+ 1 (exp a))))))
#s(approx (log (- (exp a) -1)) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 1 (exp a))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (/ (exp a) (- (exp a) -1)) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) #s(hole binary64 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))))
#s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) #s(hole binary64 (* a (- (+ (/ 1 (* a (+ 1 (exp b)))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b))))
#s(approx (+ (* (neg b) (exp (- a (* (log (- (exp a) -1)) 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 (- (exp a) -1)) 2))) #s(hole binary64 (exp (neg (+ (* -1 a) (* 2 (log (+ 1 (exp a)))))))))
#s(approx (- a (* (log (- (exp a) -1)) 2)) #s(hole binary64 (* -1 (* a (- (* 2 (/ (log (+ 1 (exp a))) a)) 1)))))
#s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) #s(hole binary64 (* -1 (* a (- (* -1 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (* a (+ 1 (exp b)))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 1/2))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))))
#s(approx (- (exp b) -1) #s(hole binary64 2))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 b)))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (exp b) #s(hole binary64 1))
#s(approx (exp b) #s(hole binary64 (+ 1 b)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx b #s(hole binary64 b))
#s(approx (+ (* (neg b) (exp (- a (* (log (- (exp a) -1)) 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 (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) #s(hole binary64 (+ 1/2 (* 1/4 a))))
#s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* 1/4 a)))))
#s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) #s(hole binary64 (+ 1/2 (+ (* 1/4 a) (* b (- (* -1/16 (* a b)) 1/4))))))
#s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) #s(hole binary64 (+ 1/2 (+ (* 1/4 a) (* b (- (* b (+ (* -1/16 a) (* 1/48 b))) 1/4))))))
#s(approx (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) #s(hole binary64 1/4))
#s(approx (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) #s(hole binary64 (+ 1/4 (* -1/16 (pow b 2)))))
#s(approx (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) #s(hole binary64 (+ 1/4 (* (pow b 2) (- (* 1/96 (pow b 2)) 1/16)))))
#s(approx (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) #s(hole binary64 (+ 1/4 (* (pow b 2) (- (* (pow b 2) (+ 1/96 (* -17/11520 (pow b 2)))) 1/16)))))
#s(approx (pow (- (exp b) -1) -2) #s(hole binary64 1/4))
#s(approx (pow (- (exp b) -1) -2) #s(hole binary64 (+ 1/4 (* -1/4 b))))
#s(approx (pow (- (exp b) -1) -2) #s(hole binary64 (+ 1/4 (* b (- (* 1/16 b) 1/4)))))
#s(approx (pow (- (exp b) -1) -2) #s(hole binary64 (+ 1/4 (* b (- (* b (+ 1/16 (* 1/48 b))) 1/4)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 1 (exp b))))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (+ (* (neg b) (exp (- a (* (log (- (exp a) -1)) 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 (- (exp a) -1)) 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 (- (exp b) -1)) (pow (- (exp b) -1) -2)) #s(hole binary64 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))
#s(approx (pow (- (exp b) -1) -2) #s(hole binary64 (/ 1 (pow (+ 1 (exp b)) 2))))
#s(approx (+ (* (neg b) (exp (- a (* (log (- (exp a) -1)) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* -1 (* b (+ (exp (- a (* 2 (log (+ 1 (exp a)))))) (* -1 (/ (exp a) (* b (+ 1 (exp a))))))))))
Calls

6 calls:

TimeVariablePointExpression
82.0ms
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))) (+ (* (neg b) (exp (- a (* (log (- (exp a) -1)) 2)))) (/ (exp a) (- (exp a) -1))) (neg b) (exp (- a (* (log (- (exp a) -1)) 2))) (- a (* (log (- (exp a) -1)) 2)) a (* (log (- (exp a) -1)) 2) (log (- (exp a) -1)) (- (exp a) -1) (exp a) 2 (/ (exp a) (- (exp a) -1)) (/ (exp a) (+ (exp a) (exp b))) (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) (pow (- (exp b) -1) -2) -2 (/ (exp a) (+ (exp a) (exp b))) (+ (exp a) (exp b)))
48.0ms
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))) (+ (* (neg b) (exp (- a (* (log (- (exp a) -1)) 2)))) (/ (exp a) (- (exp a) -1))) (neg b) (exp (- a (* (log (- (exp a) -1)) 2))) (- a (* (log (- (exp a) -1)) 2)) a (* (log (- (exp a) -1)) 2) (log (- (exp a) -1)) (- (exp a) -1) (exp a) 2 (/ (exp a) (- (exp a) -1)) (/ (exp a) (+ (exp a) (exp b))) (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) (pow (- (exp b) -1) -2) -2 (/ (exp a) (+ (exp a) (exp b))) (+ (exp a) (exp b)))
23.0ms
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))) (+ (* (neg b) (exp (- a (* (log (- (exp a) -1)) 2)))) (/ (exp a) (- (exp a) -1))) (neg b) (exp (- a (* (log (- (exp a) -1)) 2))) (- a (* (log (- (exp a) -1)) 2)) a (* (log (- (exp a) -1)) 2) (log (- (exp a) -1)) (- (exp a) -1) (exp a) 2 (/ (exp a) (- (exp a) -1)) (/ (exp a) (+ (exp a) (exp b))) (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) (pow (- (exp b) -1) -2) -2 (/ (exp a) (+ (exp a) (exp b))) (+ (exp a) (exp b)))
22.0ms
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))) (+ (* (neg b) (exp (- a (* (log (- (exp a) -1)) 2)))) (/ (exp a) (- (exp a) -1))) (neg b) (exp (- a (* (log (- (exp a) -1)) 2))) (- a (* (log (- (exp a) -1)) 2)) a (* (log (- (exp a) -1)) 2) (log (- (exp a) -1)) (- (exp a) -1) (exp a) 2 (/ (exp a) (- (exp a) -1)) (/ (exp a) (+ (exp a) (exp b))) (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) (pow (- (exp b) -1) -2) -2 (/ (exp a) (+ (exp a) (exp b))) (+ (exp a) (exp b)))
11.0ms
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))) (+ (* (neg b) (exp (- a (* (log (- (exp a) -1)) 2)))) (/ (exp a) (- (exp a) -1))) (neg b) (exp (- a (* (log (- (exp a) -1)) 2))) (- a (* (log (- (exp a) -1)) 2)) a (* (log (- (exp a) -1)) 2) (log (- (exp a) -1)) (- (exp a) -1) (exp a) 2 (/ (exp a) (- (exp a) -1)) (/ (exp a) (+ (exp a) (exp b))) (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) (pow (- (exp b) -1) -2) -2 (/ (exp a) (+ (exp a) (exp b))) (+ (exp a) (exp b)))

rewrite196.0ms (3%)

Memory
17.8MiB live, 245.0MiB allocated; 70ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04582665
04992531
128142460
083902331
Stop Event
iter-limit
node-limit
iter-limit
Counts
129 → 204
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))) (fma.f64 (neg.f64 b) (exp.f64 (-.f64 a (*.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #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 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(neg.f64 b)
(exp.f64 (-.f64 a (*.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64))))
(-.f64 a (*.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)))
a
(*.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64))
(log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)))
(-.f64 (exp.f64 a) #s(literal -1 binary64))
(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 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64)))
(pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))
#s(literal -2 binary64)
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (-.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 a) (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (+ (* (neg b) (exp (- a (* (log (- (exp a) -1)) 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 (- (exp a) -1)) 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 (- (exp a) -1)) 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 (- (exp a) -1)) 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 (- (exp a) -1)) 2))) #s(hole binary64 (exp (neg (* 2 (log 2))))))
#s(approx (exp (- a (* (log (- (exp a) -1)) 2))) #s(hole binary64 (+ (exp (neg (* 2 (log 2)))) (* -1/4 (* (pow a 2) (exp (neg (* 2 (log 2)))))))))
#s(approx (exp (- a (* (log (- (exp a) -1)) 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 (- (exp a) -1)) 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 (- (exp a) -1)) 2)) #s(hole binary64 (* -2 (log 2))))
#s(approx (- a (* (log (- (exp a) -1)) 2)) #s(hole binary64 (- (* -1/4 (pow a 2)) (* 2 (log 2)))))
#s(approx (- a (* (log (- (exp a) -1)) 2)) #s(hole binary64 (- (* (pow a 2) (- (* 1/96 (pow a 2)) 1/4)) (* 2 (log 2)))))
#s(approx (- a (* (log (- (exp a) -1)) 2)) #s(hole binary64 (- (* (pow a 2) (- (* (pow a 2) (+ 1/96 (* -1/1440 (pow a 2)))) 1/4)) (* 2 (log 2)))))
#s(approx a #s(hole binary64 a))
#s(approx (* (log (- (exp a) -1)) 2) #s(hole binary64 (* 2 (log 2))))
#s(approx (* (log (- (exp a) -1)) 2) #s(hole binary64 (+ a (* 2 (log 2)))))
#s(approx (* (log (- (exp a) -1)) 2) #s(hole binary64 (+ (* 2 (log 2)) (* a (+ 1 (* 1/4 a))))))
#s(approx (* (log (- (exp a) -1)) 2) #s(hole binary64 (+ (* 2 (log 2)) (* a (+ 1 (* a (+ 1/4 (* -1/96 (pow a 2)))))))))
#s(approx (log (- (exp a) -1)) #s(hole binary64 (log 2)))
#s(approx (log (- (exp a) -1)) #s(hole binary64 (+ (log 2) (* 1/2 a))))
#s(approx (log (- (exp a) -1)) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* 1/8 a))))))
#s(approx (log (- (exp a) -1)) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))))
#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) #s(hole binary64 1))
#s(approx (exp a) #s(hole binary64 (+ 1 a)))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (/ (exp a) (- (exp a) -1)) #s(hole binary64 1/2))
#s(approx (/ (exp a) (- (exp a) -1)) #s(hole binary64 (+ 1/2 (* 1/4 a))))
#s(approx (/ (exp a) (- (exp a) -1)) #s(hole binary64 (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))))
#s(approx (/ (exp a) (- (exp a) -1)) #s(hole binary64 (+ 1/2 (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))))))
#s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ (exp a) (exp b)))))
#s(approx (+ (* (neg b) (exp (- a (* (log (- (exp a) -1)) 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 (- (exp a) -1)) 2))) #s(hole binary64 (exp (- a (* 2 (log (+ 1 (exp a))))))))
#s(approx (- a (* (log (- (exp a) -1)) 2)) #s(hole binary64 a))
#s(approx (- a (* (log (- (exp a) -1)) 2)) #s(hole binary64 (* a (+ 1 (* -2 (/ (log (+ 1 (exp a))) a))))))
#s(approx (* (log (- (exp a) -1)) 2) #s(hole binary64 (* 2 (log (+ 1 (exp a))))))
#s(approx (log (- (exp a) -1)) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 1 (exp a))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (/ (exp a) (- (exp a) -1)) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) #s(hole binary64 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))))
#s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) #s(hole binary64 (* a (- (+ (/ 1 (* a (+ 1 (exp b)))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b))))
#s(approx (+ (* (neg b) (exp (- a (* (log (- (exp a) -1)) 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 (- (exp a) -1)) 2))) #s(hole binary64 (exp (neg (+ (* -1 a) (* 2 (log (+ 1 (exp a)))))))))
#s(approx (- a (* (log (- (exp a) -1)) 2)) #s(hole binary64 (* -1 (* a (- (* 2 (/ (log (+ 1 (exp a))) a)) 1)))))
#s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) #s(hole binary64 (* -1 (* a (- (* -1 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (* a (+ 1 (exp b)))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 1/2))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))))
#s(approx (- (exp b) -1) #s(hole binary64 2))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 b)))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (exp b) #s(hole binary64 1))
#s(approx (exp b) #s(hole binary64 (+ 1 b)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx b #s(hole binary64 b))
#s(approx (+ (* (neg b) (exp (- a (* (log (- (exp a) -1)) 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 (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) #s(hole binary64 (+ 1/2 (* 1/4 a))))
#s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* 1/4 a)))))
#s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) #s(hole binary64 (+ 1/2 (+ (* 1/4 a) (* b (- (* -1/16 (* a b)) 1/4))))))
#s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) #s(hole binary64 (+ 1/2 (+ (* 1/4 a) (* b (- (* b (+ (* -1/16 a) (* 1/48 b))) 1/4))))))
#s(approx (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) #s(hole binary64 1/4))
#s(approx (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) #s(hole binary64 (+ 1/4 (* -1/16 (pow b 2)))))
#s(approx (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) #s(hole binary64 (+ 1/4 (* (pow b 2) (- (* 1/96 (pow b 2)) 1/16)))))
#s(approx (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) #s(hole binary64 (+ 1/4 (* (pow b 2) (- (* (pow b 2) (+ 1/96 (* -17/11520 (pow b 2)))) 1/16)))))
#s(approx (pow (- (exp b) -1) -2) #s(hole binary64 1/4))
#s(approx (pow (- (exp b) -1) -2) #s(hole binary64 (+ 1/4 (* -1/4 b))))
#s(approx (pow (- (exp b) -1) -2) #s(hole binary64 (+ 1/4 (* b (- (* 1/16 b) 1/4)))))
#s(approx (pow (- (exp b) -1) -2) #s(hole binary64 (+ 1/4 (* b (- (* b (+ 1/16 (* 1/48 b))) 1/4)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 1 (exp b))))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (+ (* (neg b) (exp (- a (* (log (- (exp a) -1)) 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 (- (exp a) -1)) 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 (- (exp b) -1)) (pow (- (exp b) -1) -2)) #s(hole binary64 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))
#s(approx (pow (- (exp b) -1) -2) #s(hole binary64 (/ 1 (pow (+ 1 (exp b)) 2))))
#s(approx (+ (* (neg b) (exp (- a (* (log (- (exp a) -1)) 2)))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* -1 (* b (+ (exp (- a (* 2 (log (+ 1 (exp a)))))) (* -1 (/ (exp a) (* b (+ 1 (exp a))))))))))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
(pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -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)))
#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 (exp.f64 (*.f64 b #s(literal 3 binary64))) #s(literal -1 binary64))) (neg.f64 (+.f64 (exp.f64 (+.f64 b 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 (exp.f64 (*.f64 b #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 (exp.f64 (+.f64 b b)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) #s(literal -1 binary64)))))
(-.f64 (/.f64 (exp.f64 (+.f64 b b)) (+.f64 (exp.f64 b) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal -1 binary64))))
(-.f64 (/.f64 (exp.f64 (*.f64 b #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 b b)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (+.f64 b b)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) #s(literal -1 binary64))))))
(-.f64 (exp.f64 b) #s(literal -1 binary64))
(exp.f64 b)
(+.f64 (cosh.f64 b) (sinh.f64 b))
b
#s(literal -1 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)))) (neg.f64 b) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)))) (neg.f64 b)) #s(literal 2 binary64)) (pow.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)))) (neg.f64 b)) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))))))
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a
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(*.f64 (/.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))))
(pow.f64 (exp.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)))) #s(literal -2 binary64))
(pow.f64 (*.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.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 #s(literal -1 binary64) (*.f64 (neg.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) (neg.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) (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 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (exp.f64 b) #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 -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)
(/.f64 (neg.f64 (neg.f64 (exp.f64 a))) (neg.f64 (neg.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (exp.f64 a)) (neg.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (-.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 a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (fma.f64 a (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -3 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)) #s(literal 3/2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (fma.f64 (-.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -3 binary64)) (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -4 binary64))))) 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 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)) #s(literal 3/2 binary64))) a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
#s(approx (+ (* (neg b) (exp (- a (* (log (- (exp a) -1)) 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 (- (exp a) -1)) 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 (- (exp a) -1)) 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 (- (exp a) -1)) 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 (- (exp a) -1)) 2))) #s(literal 1/4 binary64))
#s(approx (exp (- a (* (log (- (exp a) -1)) 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 (- (exp a) -1)) 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 (- (exp a) -1)) 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 (- (exp a) -1)) 2)) (log.f64 #s(literal 1/4 binary64)))
#s(approx (- a (* (log (- (exp a) -1)) 2)) (fma.f64 (*.f64 a a) #s(literal -1/4 binary64) (log.f64 #s(literal 1/4 binary64))))
#s(approx (- a (* (log (- (exp a) -1)) 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 (- (exp a) -1)) 2)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 a a) #s(literal 1/96 binary64)) (*.f64 a a)) #s(literal 1/4 binary64)) (*.f64 a a) (log.f64 #s(literal 1/4 binary64))))
#s(approx a a)
#s(approx (* (log (- (exp a) -1)) 2) (log.f64 #s(literal 4 binary64)))
#s(approx (* (log (- (exp a) -1)) 2) (-.f64 a (log.f64 #s(literal 1/4 binary64))))
#s(approx (* (log (- (exp a) -1)) 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 (- (exp a) -1)) 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 (- (exp a) -1)) (log.f64 #s(literal 2 binary64)))
#s(approx (log (- (exp a) -1)) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))
#s(approx (log (- (exp a) -1)) (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 (- (exp a) -1)) (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) -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) #s(literal 1 binary64))
#s(approx (exp a) (+.f64 #s(literal 1 binary64) a))
#s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
#s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
#s(approx (/ (exp a) (- (exp a) -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 (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
#s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
#s(approx (+ (exp a) (exp b)) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
#s(approx (+ (exp a) (exp b)) (+.f64 (+.f64 (exp.f64 b) a) #s(literal 1 binary64)))
#s(approx (+ (exp a) (exp b)) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (exp.f64 b)) #s(literal 1 binary64)))
#s(approx (+ (exp a) (exp b)) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a (exp.f64 b)) #s(literal 1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))))
#s(approx (+ (* (neg b) (exp (- a (* (log (- (exp a) -1)) 2)))) (/ (exp a) (- (exp a) -1))) (fma.f64 (neg.f64 b) (exp.f64 (-.f64 a (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (exp (- a (* (log (- (exp a) -1)) 2))) (exp.f64 (-.f64 a (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)))))
#s(approx (- a (* (log (- (exp a) -1)) 2)) a)
#s(approx (- a (* (log (- (exp a) -1)) 2)) (*.f64 (fma.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) a) #s(literal -2 binary64) #s(literal 1 binary64)) a))
#s(approx (* (log (- (exp a) -1)) 2) (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)))
#s(approx (log (- (exp a) -1)) (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (- (exp a) -1) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
#s(approx (exp a) (exp.f64 a))
#s(approx (/ (exp a) (- (exp a) -1)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) a))
#s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) a))
#s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 b) (exp.f64 a)))
#s(approx (+ (* (neg b) (exp (- a (* (log (- (exp a) -1)) 2)))) (/ (exp a) (- (exp a) -1))) (fma.f64 (neg.f64 b) (exp.f64 (neg.f64 (fma.f64 (log.f64 (+.f64 #s(literal 1 binary64) (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 (- (exp a) -1)) 2))) (exp.f64 (neg.f64 (fma.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64) (neg.f64 a)))))
#s(approx (- a (* (log (- (exp a) -1)) 2)) (*.f64 (neg.f64 a) (-.f64 (/.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)) a) #s(literal 1 binary64))))
#s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (*.f64 (neg.f64 a) (-.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (neg.f64 b) (exp.f64 (-.f64 a (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 b (-.f64 (*.f64 (neg.f64 b) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (exp.f64 (-.f64 a (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64))))))) (exp.f64 (-.f64 a (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64))))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (neg.f64 b) (+.f64 (fma.f64 #s(literal -1/2 binary64) (exp.f64 (-.f64 a (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64)))) (*.f64 (exp.f64 (-.f64 a (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)))) #s(literal 1/6 binary64))) (neg.f64 (/.f64 (fma.f64 (exp.f64 (-.f64 a (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (exp.f64 (-.f64 a (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64)))))) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (exp.f64 (-.f64 a (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64))))))) b) (exp.f64 (-.f64 a (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64))))) b (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64))
#s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
#s(approx (/ 1 (- (exp b) -1)) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))
#s(approx (/ 1 (- (exp b) -1)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))
#s(approx (- (exp b) -1) #s(literal 2 binary64))
#s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))
#s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
#s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
#s(approx (exp b) #s(literal 1 binary64))
#s(approx (exp b) (+.f64 #s(literal 1 binary64) b))
#s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
#s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
#s(approx b b)
#s(approx (+ (* (neg b) (exp (- a (* (log (- (exp a) -1)) 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 (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))
#s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (+.f64 (fma.f64 #s(literal -1/4 binary64) b (*.f64 #s(literal 1/4 binary64) a)) #s(literal 1/2 binary64)))
#s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -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 (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -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 (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) #s(literal 1/4 binary64))
#s(approx (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) (fma.f64 (*.f64 b b) #s(literal -1/16 binary64) #s(literal 1/4 binary64)))
#s(approx (- (/ 1 (- (exp b) -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 (- (/ 1 (- (exp b) -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) -2) #s(literal 1/4 binary64))
#s(approx (pow (- (exp b) -1) -2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/4 binary64)))
#s(approx (pow (- (exp b) -1) -2) (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) b) #s(literal 1/4 binary64)) b #s(literal 1/4 binary64)))
#s(approx (pow (- (exp b) -1) -2) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) b #s(literal 1/16 binary64)) b) #s(literal 1/4 binary64)) b #s(literal 1/4 binary64)))
#s(approx (+ (exp a) (exp b)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
#s(approx (+ (exp a) (exp b)) (+.f64 (+.f64 b (exp.f64 a)) #s(literal 1 binary64)))
#s(approx (+ (exp a) (exp b)) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (exp.f64 a)) #s(literal 1 binary64)))
#s(approx (+ (exp a) (exp b)) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b (exp.f64 a)) #s(literal 1 binary64)))
#s(approx (/ 1 (- (exp b) -1)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
#s(approx (- (exp b) -1) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
#s(approx (exp b) (exp.f64 b))
#s(approx (+ (* (neg b) (exp (- a (* (log (- (exp a) -1)) 2)))) (/ (exp a) (- (exp a) -1))) (*.f64 (neg.f64 b) (exp.f64 (-.f64 a (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64))))))
#s(approx (+ (* (neg b) (exp (- a (* (log (- (exp a) -1)) 2)))) (/ (exp a) (- (exp a) -1))) (*.f64 (+.f64 (/.f64 (exp.f64 a) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) (neg.f64 (exp.f64 (-.f64 a (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)))))) b))
#s(approx (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))))
#s(approx (pow (- (exp b) -1) -2) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))
#s(approx (+ (* (neg b) (exp (- a (* (log (- (exp a) -1)) 2)))) (/ (exp a) (- (exp a) -1))) (*.f64 (neg.f64 b) (+.f64 (neg.f64 (/.f64 (exp.f64 a) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))) (exp.f64 (-.f64 a (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)))))))

eval56.0ms (0.9%)

Memory
-10.4MiB live, 87.4MiB allocated; 26ms collecting garbage
Compiler

Compiled 3 859 to 1 367 computations (64.6% saved)

prune10.0ms (0.2%)

Memory
27.5MiB live, 27.5MiB allocated; 0ms collecting garbage
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New2988306
Fresh000
Picked224
Done000
Total30010310
Accuracy
99.7%
Counts
310 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
67.7%
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
66.6%
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64))))
54.1%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a) #s(literal 2 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))))
81.2%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
50.1%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
37.9%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
37.0%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #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))))
38.0%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
40.0%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
40.0%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
Compiler

Compiled 354 to 282 computations (20.3% saved)

series112.0ms (1.7%)

Memory
-14.2MiB live, 171.3MiB allocated; 62ms collecting garbage
Counts
33 → 107
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64))))
(exp.f64 a)
a
#s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64)))
#s(approx (- (exp a) -1) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
#s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
#s(literal -1/4 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)))))
(/.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(literal 1 binary64)
#s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a) #s(literal 2 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a) #s(literal 2 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
(-.f64 (pow.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a) #s(literal 2 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64)))
(pow.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a) #s(literal 2 binary64))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a)
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))
(-.f64 (exp.f64 b) #s(literal -1 binary64))
(exp.f64 b)
#s(literal -1 binary64)
(pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))
#s(literal -2 binary64)
(-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (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) -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 (/ (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1)))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1)))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) #s(hole binary64 (/ -1 (pow (+ 1 (exp b)) 2))))
#s(approx (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) #s(hole binary64 (- (* (pow a 2) (pow (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) 2)) (/ 1 (pow (+ 1 (exp b)) 2)))))
#s(approx (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) #s(hole binary64 (* (pow a 2) (pow (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) 2))))
#s(approx (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) #s(hole binary64 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))))
#s(approx (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) #s(hole binary64 (/ -1 (+ 1 (exp b)))))
#s(approx (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) #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 (/ (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) -1) #s(hole binary64 (+ 1 (exp a))))
#s(approx (/ (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1)))) #s(hole binary64 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))))
#s(approx (/ (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1)))) #s(hole binary64 (* a (- (+ (/ 1 (* a (+ 1 (exp b)))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2))))))
#s(approx (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) #s(hole binary64 (* (pow a 2) (pow (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) 2))))
#s(approx (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) #s(hole binary64 (* (pow a 2) (- (pow (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) 2) (/ 1 (* (pow a 2) (pow (+ 1 (exp b)) 2)))))))
#s(approx (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) #s(hole binary64 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))))
#s(approx (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) #s(hole binary64 (* a (- (/ 1 (+ 1 (exp b))) (+ (/ 1 (* a (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))))))
#s(approx (/ (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1)))) #s(hole binary64 (* -1 (* a (- (* -1 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (* a (+ 1 (exp b)))))))))
#s(approx (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) #s(hole binary64 (* -1 (* a (+ (* -1 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (* a (+ 1 (exp b)))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 1/2))
#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 (+ (* -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 b #s(hole binary64 b))
#s(approx (- (exp b) -1) #s(hole binary64 2))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 b)))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 2))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (+ 2 b)))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (+ 1 (* 1/2 b))))
#s(approx (/ (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1)))) #s(hole binary64 (/ (- (* 1/16 (pow a 2)) 1/4) (- (* 1/4 a) 1/2))))
#s(approx (/ (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1)))) #s(hole binary64 (- (+ (* 1/16 (/ (pow a 2) (- (* 1/4 a) 1/2))) (* b (- (* 1/4 (/ 1 (- (* 1/4 a) 1/2))) (* 1/4 (/ (- (* 1/16 (pow a 2)) 1/4) (pow (- (* 1/4 a) 1/2) 2)))))) (* 1/4 (/ 1 (- (* 1/4 a) 1/2))))))
#s(approx (/ (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1)))) #s(hole binary64 (- (+ (* 1/16 (/ (pow a 2) (- (* 1/4 a) 1/2))) (* b (- (+ (* 1/4 (/ 1 (- (* 1/4 a) 1/2))) (* b (- (* -1/32 (/ (pow a 2) (- (* 1/4 a) 1/2))) (+ (* -1/16 (/ (* a (- (* 1/16 (pow a 2)) 1/4)) (pow (- (* 1/4 a) 1/2) 2))) (+ (* 1/16 (/ 1 (- (* 1/4 a) 1/2))) (* 1/4 (/ (- (* 1/4 (/ 1 (- (* 1/4 a) 1/2))) (* 1/4 (/ (- (* 1/16 (pow a 2)) 1/4) (pow (- (* 1/4 a) 1/2) 2)))) (- (* 1/4 a) 1/2)))))))) (* 1/4 (/ (- (* 1/16 (pow a 2)) 1/4) (pow (- (* 1/4 a) 1/2) 2)))))) (* 1/4 (/ 1 (- (* 1/4 a) 1/2))))))
#s(approx (/ (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1)))) #s(hole binary64 (- (+ (* 1/16 (/ (pow a 2) (- (* 1/4 a) 1/2))) (* b (- (+ (* 1/4 (/ 1 (- (* 1/4 a) 1/2))) (* b (- (+ (* -1 (* b (+ (* -1/16 (/ (* a (- (* 1/4 (/ 1 (- (* 1/4 a) 1/2))) (* 1/4 (/ (- (* 1/16 (pow a 2)) 1/4) (pow (- (* 1/4 a) 1/2) 2))))) (- (* 1/4 a) 1/2))) (+ (* -1/48 (/ (- (* 1/16 (pow a 2)) 1/4) (pow (- (* 1/4 a) 1/2) 2))) (+ (* 1/48 (/ 1 (- (* 1/4 a) 1/2))) (* 1/4 (/ (- (* -1/32 (/ (pow a 2) (- (* 1/4 a) 1/2))) (+ (* -1/16 (/ (* a (- (* 1/16 (pow a 2)) 1/4)) (pow (- (* 1/4 a) 1/2) 2))) (+ (* 1/16 (/ 1 (- (* 1/4 a) 1/2))) (* 1/4 (/ (- (* 1/4 (/ 1 (- (* 1/4 a) 1/2))) (* 1/4 (/ (- (* 1/16 (pow a 2)) 1/4) (pow (- (* 1/4 a) 1/2) 2)))) (- (* 1/4 a) 1/2)))))) (- (* 1/4 a) 1/2)))))))) (* -1/32 (/ (pow a 2) (- (* 1/4 a) 1/2)))) (+ (* -1/16 (/ (* a (- (* 1/16 (pow a 2)) 1/4)) (pow (- (* 1/4 a) 1/2) 2))) (+ (* 1/16 (/ 1 (- (* 1/4 a) 1/2))) (* 1/4 (/ (- (* 1/4 (/ 1 (- (* 1/4 a) 1/2))) (* 1/4 (/ (- (* 1/16 (pow a 2)) 1/4) (pow (- (* 1/4 a) 1/2) 2)))) (- (* 1/4 a) 1/2)))))))) (* 1/4 (/ (- (* 1/16 (pow a 2)) 1/4) (pow (- (* 1/4 a) 1/2) 2)))))) (* 1/4 (/ 1 (- (* 1/4 a) 1/2))))))
#s(approx (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) #s(hole binary64 (- (* 1/16 (pow a 2)) 1/4)))
#s(approx (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) #s(hole binary64 (- (+ (* 1/16 (pow a 2)) (* 1/4 b)) 1/4)))
#s(approx (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) #s(hole binary64 (- (+ (* 1/16 (pow a 2)) (* b (+ 1/4 (* b (- (* -1/32 (pow a 2)) 1/16))))) 1/4)))
#s(approx (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) #s(hole binary64 (- (+ (* 1/16 (pow a 2)) (* b (+ 1/4 (* b (- (+ (* -1/32 (pow a 2)) (* -1/48 b)) 1/16))))) 1/4)))
#s(approx (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) #s(hole binary64 (* 1/16 (pow a 2))))
#s(approx (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) #s(hole binary64 (+ (* -1/32 (* (pow a 2) (pow b 2))) (* 1/16 (pow a 2)))))
#s(approx (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) #s(hole binary64 (+ (* 1/16 (pow a 2)) (* (pow b 2) (+ (* -1/32 (pow a 2)) (* 7/768 (* (pow a 2) (pow b 2))))))))
#s(approx (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) #s(hole binary64 (+ (* 1/16 (pow a 2)) (* (pow b 2) (+ (* -1/32 (pow a 2)) (* (pow b 2) (+ (* -47/23040 (* (pow a 2) (pow b 2))) (* 7/768 (pow a 2)))))))))
#s(approx (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) #s(hole binary64 (* 1/4 a)))
#s(approx (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) #s(hole binary64 (+ (* -1/16 (* a (pow b 2))) (* 1/4 a))))
#s(approx (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) #s(hole binary64 (+ (* 1/4 a) (* (pow b 2) (+ (* -1/16 a) (* 1/96 (* a (pow b 2))))))))
#s(approx (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) #s(hole binary64 (+ (* 1/4 a) (* (pow b 2) (+ (* -1/16 a) (* (pow b 2) (+ (* -17/11520 (* a (pow b 2))) (* 1/96 a))))))))
#s(approx (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) #s(hole binary64 1/4))
#s(approx (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) #s(hole binary64 (+ 1/4 (* -1/16 (pow b 2)))))
#s(approx (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) #s(hole binary64 (+ 1/4 (* (pow b 2) (- (* 1/96 (pow b 2)) 1/16)))))
#s(approx (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) #s(hole binary64 (+ 1/4 (* (pow b 2) (- (* (pow b 2) (+ 1/96 (* -17/11520 (pow b 2)))) 1/16)))))
#s(approx (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) -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 (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) #s(hole binary64 (- (* 1/4 a) 1/2)))
#s(approx (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) #s(hole binary64 (- (+ (* 1/4 a) (* 1/4 b)) 1/2)))
#s(approx (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) #s(hole binary64 (- (+ (* 1/4 a) (* b (+ 1/4 (* -1/16 (* a b))))) 1/2)))
#s(approx (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) #s(hole binary64 (- (+ (* 1/4 a) (* b (+ 1/4 (* b (+ (* -1/16 a) (* -1/48 b)))))) 1/2)))
#s(approx (/ 1 (- (exp b) -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 (- (exp b) -1) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (* 1/2 (pow b 2))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (* (pow b 2) (+ 1/2 (/ 1 b)))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (* 1/2 b)))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (* b (+ 1/2 (/ 1 b)))))
#s(approx (/ (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1)))) #s(hole binary64 (/ (- (* (pow a 2) (pow (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) 2)) (/ 1 (pow (+ 1 (exp b)) 2))) (- (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))))))
#s(approx (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) #s(hole binary64 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))
#s(approx (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 (+ (* -1/4 b) 1/2) #s(hole binary64 (* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))))
Calls

6 calls:

TimeVariablePointExpression
31.0ms
b
@0
((/ (exp a) (+ (exp a) (exp b))) (exp a) a (+ (exp a) (exp b)) (- (exp a) -1) 2 (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) 1/2 (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (+ (* -1/4 b) 1/2) -1/4 b (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) 1 (- (exp b) -1) (+ (* (+ (* 1/2 b) 1) b) 2) (+ (* 1/2 b) 1) (/ (exp a) (+ (exp a) (exp b))) (/ (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1)))) (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) (/ 1 (- (exp b) -1)) (- (exp b) -1) (exp b) -1 (pow (- (exp b) -1) -2) -2 (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))))
21.0ms
b
@-inf
((/ (exp a) (+ (exp a) (exp b))) (exp a) a (+ (exp a) (exp b)) (- (exp a) -1) 2 (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) 1/2 (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (+ (* -1/4 b) 1/2) -1/4 b (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) 1 (- (exp b) -1) (+ (* (+ (* 1/2 b) 1) b) 2) (+ (* 1/2 b) 1) (/ (exp a) (+ (exp a) (exp b))) (/ (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1)))) (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) (/ 1 (- (exp b) -1)) (- (exp b) -1) (exp b) -1 (pow (- (exp b) -1) -2) -2 (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))))
19.0ms
a
@inf
((/ (exp a) (+ (exp a) (exp b))) (exp a) a (+ (exp a) (exp b)) (- (exp a) -1) 2 (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) 1/2 (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (+ (* -1/4 b) 1/2) -1/4 b (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) 1 (- (exp b) -1) (+ (* (+ (* 1/2 b) 1) b) 2) (+ (* 1/2 b) 1) (/ (exp a) (+ (exp a) (exp b))) (/ (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1)))) (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) (/ 1 (- (exp b) -1)) (- (exp b) -1) (exp b) -1 (pow (- (exp b) -1) -2) -2 (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))))
16.0ms
a
@0
((/ (exp a) (+ (exp a) (exp b))) (exp a) a (+ (exp a) (exp b)) (- (exp a) -1) 2 (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) 1/2 (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (+ (* -1/4 b) 1/2) -1/4 b (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) 1 (- (exp b) -1) (+ (* (+ (* 1/2 b) 1) b) 2) (+ (* 1/2 b) 1) (/ (exp a) (+ (exp a) (exp b))) (/ (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1)))) (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) (/ 1 (- (exp b) -1)) (- (exp b) -1) (exp b) -1 (pow (- (exp b) -1) -2) -2 (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))))
12.0ms
b
@inf
((/ (exp a) (+ (exp a) (exp b))) (exp a) a (+ (exp a) (exp b)) (- (exp a) -1) 2 (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) 1/2 (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (+ (* -1/4 b) 1/2) -1/4 b (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) 1 (- (exp b) -1) (+ (* (+ (* 1/2 b) 1) b) 2) (+ (* 1/2 b) 1) (/ (exp a) (+ (exp a) (exp b))) (/ (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1)))) (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) (/ 1 (- (exp b) -1)) (- (exp b) -1) (exp b) -1 (pow (- (exp b) -1) -2) -2 (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))))

rewrite275.0ms (4.2%)

Memory
28.7MiB live, 256.4MiB allocated; 163ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04743830
05073662
129383653
088243548
Stop Event
iter-limit
node-limit
iter-limit
Counts
140 → 245
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64))))
(exp.f64 a)
a
#s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64)))
#s(approx (- (exp a) -1) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
#s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
#s(literal -1/4 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)))))
(/.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(literal 1 binary64)
#s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a) #s(literal 2 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a) #s(literal 2 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
(-.f64 (pow.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a) #s(literal 2 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64)))
(pow.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a) #s(literal 2 binary64))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a)
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))
(-.f64 (exp.f64 b) #s(literal -1 binary64))
(exp.f64 b)
#s(literal -1 binary64)
(pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))
#s(literal -2 binary64)
(-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (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) -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 (/ (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1)))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1)))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) #s(hole binary64 (/ -1 (pow (+ 1 (exp b)) 2))))
#s(approx (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) #s(hole binary64 (- (* (pow a 2) (pow (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) 2)) (/ 1 (pow (+ 1 (exp b)) 2)))))
#s(approx (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) #s(hole binary64 (* (pow a 2) (pow (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) 2))))
#s(approx (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) #s(hole binary64 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))))
#s(approx (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) #s(hole binary64 (/ -1 (+ 1 (exp b)))))
#s(approx (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) #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 (/ (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) -1) #s(hole binary64 (+ 1 (exp a))))
#s(approx (/ (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1)))) #s(hole binary64 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))))
#s(approx (/ (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1)))) #s(hole binary64 (* a (- (+ (/ 1 (* a (+ 1 (exp b)))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2))))))
#s(approx (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) #s(hole binary64 (* (pow a 2) (pow (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) 2))))
#s(approx (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) #s(hole binary64 (* (pow a 2) (- (pow (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) 2) (/ 1 (* (pow a 2) (pow (+ 1 (exp b)) 2)))))))
#s(approx (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) #s(hole binary64 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))))
#s(approx (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) #s(hole binary64 (* a (- (/ 1 (+ 1 (exp b))) (+ (/ 1 (* a (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))))))
#s(approx (/ (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1)))) #s(hole binary64 (* -1 (* a (- (* -1 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (* a (+ 1 (exp b)))))))))
#s(approx (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) #s(hole binary64 (* -1 (* a (+ (* -1 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (* a (+ 1 (exp b)))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 1/2))
#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 (+ (* -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 b #s(hole binary64 b))
#s(approx (- (exp b) -1) #s(hole binary64 2))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 b)))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 2))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (+ 2 b)))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (+ 1 (* 1/2 b))))
#s(approx (/ (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1)))) #s(hole binary64 (/ (- (* 1/16 (pow a 2)) 1/4) (- (* 1/4 a) 1/2))))
#s(approx (/ (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1)))) #s(hole binary64 (- (+ (* 1/16 (/ (pow a 2) (- (* 1/4 a) 1/2))) (* b (- (* 1/4 (/ 1 (- (* 1/4 a) 1/2))) (* 1/4 (/ (- (* 1/16 (pow a 2)) 1/4) (pow (- (* 1/4 a) 1/2) 2)))))) (* 1/4 (/ 1 (- (* 1/4 a) 1/2))))))
#s(approx (/ (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1)))) #s(hole binary64 (- (+ (* 1/16 (/ (pow a 2) (- (* 1/4 a) 1/2))) (* b (- (+ (* 1/4 (/ 1 (- (* 1/4 a) 1/2))) (* b (- (* -1/32 (/ (pow a 2) (- (* 1/4 a) 1/2))) (+ (* -1/16 (/ (* a (- (* 1/16 (pow a 2)) 1/4)) (pow (- (* 1/4 a) 1/2) 2))) (+ (* 1/16 (/ 1 (- (* 1/4 a) 1/2))) (* 1/4 (/ (- (* 1/4 (/ 1 (- (* 1/4 a) 1/2))) (* 1/4 (/ (- (* 1/16 (pow a 2)) 1/4) (pow (- (* 1/4 a) 1/2) 2)))) (- (* 1/4 a) 1/2)))))))) (* 1/4 (/ (- (* 1/16 (pow a 2)) 1/4) (pow (- (* 1/4 a) 1/2) 2)))))) (* 1/4 (/ 1 (- (* 1/4 a) 1/2))))))
#s(approx (/ (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1)))) #s(hole binary64 (- (+ (* 1/16 (/ (pow a 2) (- (* 1/4 a) 1/2))) (* b (- (+ (* 1/4 (/ 1 (- (* 1/4 a) 1/2))) (* b (- (+ (* -1 (* b (+ (* -1/16 (/ (* a (- (* 1/4 (/ 1 (- (* 1/4 a) 1/2))) (* 1/4 (/ (- (* 1/16 (pow a 2)) 1/4) (pow (- (* 1/4 a) 1/2) 2))))) (- (* 1/4 a) 1/2))) (+ (* -1/48 (/ (- (* 1/16 (pow a 2)) 1/4) (pow (- (* 1/4 a) 1/2) 2))) (+ (* 1/48 (/ 1 (- (* 1/4 a) 1/2))) (* 1/4 (/ (- (* -1/32 (/ (pow a 2) (- (* 1/4 a) 1/2))) (+ (* -1/16 (/ (* a (- (* 1/16 (pow a 2)) 1/4)) (pow (- (* 1/4 a) 1/2) 2))) (+ (* 1/16 (/ 1 (- (* 1/4 a) 1/2))) (* 1/4 (/ (- (* 1/4 (/ 1 (- (* 1/4 a) 1/2))) (* 1/4 (/ (- (* 1/16 (pow a 2)) 1/4) (pow (- (* 1/4 a) 1/2) 2)))) (- (* 1/4 a) 1/2)))))) (- (* 1/4 a) 1/2)))))))) (* -1/32 (/ (pow a 2) (- (* 1/4 a) 1/2)))) (+ (* -1/16 (/ (* a (- (* 1/16 (pow a 2)) 1/4)) (pow (- (* 1/4 a) 1/2) 2))) (+ (* 1/16 (/ 1 (- (* 1/4 a) 1/2))) (* 1/4 (/ (- (* 1/4 (/ 1 (- (* 1/4 a) 1/2))) (* 1/4 (/ (- (* 1/16 (pow a 2)) 1/4) (pow (- (* 1/4 a) 1/2) 2)))) (- (* 1/4 a) 1/2)))))))) (* 1/4 (/ (- (* 1/16 (pow a 2)) 1/4) (pow (- (* 1/4 a) 1/2) 2)))))) (* 1/4 (/ 1 (- (* 1/4 a) 1/2))))))
#s(approx (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) #s(hole binary64 (- (* 1/16 (pow a 2)) 1/4)))
#s(approx (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) #s(hole binary64 (- (+ (* 1/16 (pow a 2)) (* 1/4 b)) 1/4)))
#s(approx (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) #s(hole binary64 (- (+ (* 1/16 (pow a 2)) (* b (+ 1/4 (* b (- (* -1/32 (pow a 2)) 1/16))))) 1/4)))
#s(approx (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) #s(hole binary64 (- (+ (* 1/16 (pow a 2)) (* b (+ 1/4 (* b (- (+ (* -1/32 (pow a 2)) (* -1/48 b)) 1/16))))) 1/4)))
#s(approx (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) #s(hole binary64 (* 1/16 (pow a 2))))
#s(approx (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) #s(hole binary64 (+ (* -1/32 (* (pow a 2) (pow b 2))) (* 1/16 (pow a 2)))))
#s(approx (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) #s(hole binary64 (+ (* 1/16 (pow a 2)) (* (pow b 2) (+ (* -1/32 (pow a 2)) (* 7/768 (* (pow a 2) (pow b 2))))))))
#s(approx (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) #s(hole binary64 (+ (* 1/16 (pow a 2)) (* (pow b 2) (+ (* -1/32 (pow a 2)) (* (pow b 2) (+ (* -47/23040 (* (pow a 2) (pow b 2))) (* 7/768 (pow a 2)))))))))
#s(approx (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) #s(hole binary64 (* 1/4 a)))
#s(approx (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) #s(hole binary64 (+ (* -1/16 (* a (pow b 2))) (* 1/4 a))))
#s(approx (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) #s(hole binary64 (+ (* 1/4 a) (* (pow b 2) (+ (* -1/16 a) (* 1/96 (* a (pow b 2))))))))
#s(approx (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) #s(hole binary64 (+ (* 1/4 a) (* (pow b 2) (+ (* -1/16 a) (* (pow b 2) (+ (* -17/11520 (* a (pow b 2))) (* 1/96 a))))))))
#s(approx (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) #s(hole binary64 1/4))
#s(approx (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) #s(hole binary64 (+ 1/4 (* -1/16 (pow b 2)))))
#s(approx (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) #s(hole binary64 (+ 1/4 (* (pow b 2) (- (* 1/96 (pow b 2)) 1/16)))))
#s(approx (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) #s(hole binary64 (+ 1/4 (* (pow b 2) (- (* (pow b 2) (+ 1/96 (* -17/11520 (pow b 2)))) 1/16)))))
#s(approx (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) -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 (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) #s(hole binary64 (- (* 1/4 a) 1/2)))
#s(approx (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) #s(hole binary64 (- (+ (* 1/4 a) (* 1/4 b)) 1/2)))
#s(approx (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) #s(hole binary64 (- (+ (* 1/4 a) (* b (+ 1/4 (* -1/16 (* a b))))) 1/2)))
#s(approx (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) #s(hole binary64 (- (+ (* 1/4 a) (* b (+ 1/4 (* b (+ (* -1/16 a) (* -1/48 b)))))) 1/2)))
#s(approx (/ 1 (- (exp b) -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 (- (exp b) -1) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (* 1/2 (pow b 2))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (* (pow b 2) (+ 1/2 (/ 1 b)))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (* 1/2 b)))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (* b (+ 1/2 (/ 1 b)))))
#s(approx (/ (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1)))) #s(hole binary64 (/ (- (* (pow a 2) (pow (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) 2)) (/ 1 (pow (+ 1 (exp b)) 2))) (- (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))))))
#s(approx (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) #s(hole binary64 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))
#s(approx (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 (+ (* -1/4 b) 1/2) #s(hole binary64 (* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))))
Outputs
(/.f64 (neg.f64 (neg.f64 (exp.f64 a))) (neg.f64 (neg.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (exp.f64 a)) (neg.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64)))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64))))
(exp.f64 a)
(+.f64 (cosh.f64 a) (sinh.f64 a))
a
#s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64)))
#s(approx (- (exp a) -1) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
#s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) b) (*.f64 #s(literal -1/4 binary64) b)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) b) (*.f64 #s(literal -1/4 binary64) b)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 b b) b)))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.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))))))
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(*.f64 (*.f64 a a) (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) #s(literal 2 binary64)))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a))
(pow.f64 (exp.f64 (log.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a)) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64)) a)
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a)
(*.f64 a (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64)))
(*.f64 a (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))))
(pow.f64 (pow.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -4 binary64)))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64)))))
(/.f64 (neg.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)))) (neg.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 -4 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -3 binary64))))))
(/.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -4 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))))
(/.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -3 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -6 binary64))) (+.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -4 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -3 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64)))
(pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -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)))
(/.f64 #s(literal -1 binary64) (neg.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -1 binary64)))
(/.f64 (neg.f64 (expm1.f64 (+.f64 b b))) (neg.f64 (+.f64 (exp.f64 b) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 b #s(literal 3 binary64))) #s(literal -1 binary64))) (neg.f64 (+.f64 (exp.f64 (+.f64 b 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 (exp.f64 (*.f64 b #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 (exp.f64 (+.f64 b 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))
#s(literal -1 binary64)
(*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
(*.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))) (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
(*.f64 (/.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))))
(pow.f64 (exp.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)))) #s(literal -2 binary64))
(pow.f64 (*.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.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 #s(literal 1 binary64) (*.f64 (neg.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) (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 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) (neg.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (-.f64 (exp.f64 b) #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 -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)
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a) #s(literal 3 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a) #s(literal 3 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a) #s(literal 2 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64)))) (neg.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a) #s(literal 2 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
(-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (fma.f64 a (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -3 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)) #s(literal 3/2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (-.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -3 binary64)) (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)) (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -4 binary64)))))) a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -3 binary64))) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)) #s(literal 3/2 binary64)))) a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
#s(approx (exp a) #s(literal 1 binary64))
#s(approx (exp a) (+.f64 #s(literal 1 binary64) a))
#s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
#s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
#s(approx a a)
#s(approx (+ (exp a) (exp b)) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
#s(approx (+ (exp a) (exp b)) (+.f64 (+.f64 (exp.f64 b) a) #s(literal 1 binary64)))
#s(approx (+ (exp a) (exp b)) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (exp.f64 b)) #s(literal 1 binary64)))
#s(approx (+ (exp a) (exp b)) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a (exp.f64 b)) #s(literal 1 binary64)))
#s(approx (- (exp a) -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 (/ (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
#s(approx (/ (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1)))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
#s(approx (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
#s(approx (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) (-.f64 (pow.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) a) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))))
#s(approx (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) a) #s(literal 2 binary64)))
#s(approx (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) a))
#s(approx (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
#s(approx (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) a) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
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#s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
#s(approx (pow (- (exp b) -1) -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 (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (-.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64)))
#s(approx (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (-.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 a b)) #s(literal 1/2 binary64)))
#s(approx (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (-.f64 (fma.f64 (fma.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 (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (-.f64 (fma.f64 (fma.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 (/ 1 (- (exp b) -1)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
#s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))
#s(approx (+ (* -1/4 b) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/4 binary64)) b))
#s(approx (- (exp b) -1) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (fma.f64 (*.f64 b b) #s(literal 1/2 binary64) b))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) #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 (/ (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1)))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
#s(approx (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))))
#s(approx (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 (+ (* -1/4 b) 1/2) (neg.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) b)) b)))

eval54.0ms (0.8%)

Memory
-18.3MiB live, 79.5MiB allocated; 28ms collecting garbage
Compiler

Compiled 5 046 to 1 741 computations (65.5% saved)

prune12.0ms (0.2%)

Memory
29.6MiB live, 29.6MiB allocated; 0ms collecting garbage
Pruning

15 alts after pruning (9 fresh and 6 done)

PrunedKeptTotal
New3256331
Fresh033
Picked145
Done022
Total32615341
Accuracy
99.7%
Counts
341 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
67.7%
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
66.6%
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64))))
39.5%
(/.f64 #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) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64))))
39.6%
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64))))
54.6%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(approx (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (+.f64 #s(literal 1 binary64) (exp.f64 b))))) (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))))
81.2%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
50.1%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
37.9%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
15.5%
#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)))))
15.7%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))))
37.0%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #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))))
38.0%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
4.2%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
40.0%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
40.0%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
Compiler

Compiled 521 to 440 computations (15.5% saved)

series127.0ms (2%)

Memory
-22.6MiB live, 159.8MiB allocated; 79ms collecting garbage
Counts
41 → 130
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(approx (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (+.f64 #s(literal 1 binary64) (exp.f64 b))))) (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))))
(/.f64 #s(approx (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (+.f64 #s(literal 1 binary64) (exp.f64 b))))) (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
#s(approx (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(/.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
#s(literal -1 binary64)
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
#s(literal 1 binary64)
(exp.f64 b)
b
(-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a)
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))
(-.f64 (exp.f64 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))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ 1 (- (exp b) -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)
#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) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))))
(/.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 b) -1) #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) (*.f64 (*.f64 b b) #s(literal 1/2 binary64)))
(*.f64 (*.f64 b b) #s(literal 1/2 binary64))
(*.f64 b b)
#s(literal 1/2 binary64)
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64))))
#s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64))
#s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64)))
#s(approx (- (exp a) -1) #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 (/ (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1)))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1)))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) #s(hole binary64 (/ -1 (pow (+ 1 (exp b)) 2))))
#s(approx (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) #s(hole binary64 (- (* (pow a 2) (pow (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) 2)) (/ 1 (pow (+ 1 (exp b)) 2)))))
#s(approx (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) #s(hole binary64 (/ -1 (+ 1 (exp b)))))
#s(approx (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) #s(hole binary64 (- (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) #s(hole binary64 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))))
#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 (+ (* (+ (* 1/2 a) 1) a) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/2 a) 1) a) 1) #s(hole binary64 (+ 1 a)))
#s(approx (+ (* (+ (* 1/2 a) 1) a) 1) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (+ (* 1/2 a) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 a) 1) #s(hole binary64 (+ 1 (* 1/2 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) -1) #s(hole binary64 2))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 a)))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 (* a (+ 1 (* 1/2 a))))))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ (exp a) (exp b)))))
#s(approx (/ (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1)))) #s(hole binary64 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))))
#s(approx (/ (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1)))) #s(hole binary64 (* a (- (+ (/ 1 (* a (+ 1 (exp b)))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2))))))
#s(approx (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) #s(hole binary64 (* (pow a 2) (pow (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) 2))))
#s(approx (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) #s(hole binary64 (* (pow a 2) (- (pow (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) 2) (/ 1 (* (pow a 2) (pow (+ 1 (exp b)) 2)))))))
#s(approx (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) #s(hole binary64 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))))
#s(approx (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) #s(hole binary64 (* a (- (/ 1 (+ 1 (exp b))) (+ (/ 1 (* a (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (+ (* (+ (* 1/2 a) 1) a) 1) #s(hole binary64 (* 1/2 (pow a 2))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) 1) #s(hole binary64 (* (pow a 2) (+ 1/2 (/ 1 a)))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) 1) #s(hole binary64 (* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))))
#s(approx (+ (* 1/2 a) 1) #s(hole binary64 (* 1/2 a)))
#s(approx (+ (* 1/2 a) 1) #s(hole binary64 (* a (+ 1/2 (/ 1 a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b))))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 1 (exp a))))
#s(approx (/ (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1)))) #s(hole binary64 (* -1 (* a (- (* -1 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (* a (+ 1 (exp b)))))))))
#s(approx (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) #s(hole binary64 (* -1 (* a (+ (* -1 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (* a (+ 1 (exp b)))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1)))) #s(hole binary64 (/ (- (* 1/16 (pow a 2)) 1/4) (- (* 1/4 a) 1/2))))
#s(approx (/ (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1)))) #s(hole binary64 (- (+ (* 1/16 (/ (pow a 2) (- (* 1/4 a) 1/2))) (* b (- (* 1/4 (/ 1 (- (* 1/4 a) 1/2))) (* 1/4 (/ (- (* 1/16 (pow a 2)) 1/4) (pow (- (* 1/4 a) 1/2) 2)))))) (* 1/4 (/ 1 (- (* 1/4 a) 1/2))))))
#s(approx (/ (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1)))) #s(hole binary64 (- (+ (* 1/16 (/ (pow a 2) (- (* 1/4 a) 1/2))) (* b (- (+ (* 1/4 (/ 1 (- (* 1/4 a) 1/2))) (* b (- (* -1/32 (/ (pow a 2) (- (* 1/4 a) 1/2))) (+ (* -1/16 (/ (* a (- (* 1/16 (pow a 2)) 1/4)) (pow (- (* 1/4 a) 1/2) 2))) (+ (* 1/16 (/ 1 (- (* 1/4 a) 1/2))) (* 1/4 (/ (- (* 1/4 (/ 1 (- (* 1/4 a) 1/2))) (* 1/4 (/ (- (* 1/16 (pow a 2)) 1/4) (pow (- (* 1/4 a) 1/2) 2)))) (- (* 1/4 a) 1/2)))))))) (* 1/4 (/ (- (* 1/16 (pow a 2)) 1/4) (pow (- (* 1/4 a) 1/2) 2)))))) (* 1/4 (/ 1 (- (* 1/4 a) 1/2))))))
#s(approx (/ (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1)))) #s(hole binary64 (- (+ (* 1/16 (/ (pow a 2) (- (* 1/4 a) 1/2))) (* b (- (+ (* 1/4 (/ 1 (- (* 1/4 a) 1/2))) (* b (- (+ (* -1 (* b (+ (* -1/16 (/ (* a (- (* 1/4 (/ 1 (- (* 1/4 a) 1/2))) (* 1/4 (/ (- (* 1/16 (pow a 2)) 1/4) (pow (- (* 1/4 a) 1/2) 2))))) (- (* 1/4 a) 1/2))) (+ (* -1/48 (/ (- (* 1/16 (pow a 2)) 1/4) (pow (- (* 1/4 a) 1/2) 2))) (+ (* 1/48 (/ 1 (- (* 1/4 a) 1/2))) (* 1/4 (/ (- (* -1/32 (/ (pow a 2) (- (* 1/4 a) 1/2))) (+ (* -1/16 (/ (* a (- (* 1/16 (pow a 2)) 1/4)) (pow (- (* 1/4 a) 1/2) 2))) (+ (* 1/16 (/ 1 (- (* 1/4 a) 1/2))) (* 1/4 (/ (- (* 1/4 (/ 1 (- (* 1/4 a) 1/2))) (* 1/4 (/ (- (* 1/16 (pow a 2)) 1/4) (pow (- (* 1/4 a) 1/2) 2)))) (- (* 1/4 a) 1/2)))))) (- (* 1/4 a) 1/2)))))))) (* -1/32 (/ (pow a 2) (- (* 1/4 a) 1/2)))) (+ (* -1/16 (/ (* a (- (* 1/16 (pow a 2)) 1/4)) (pow (- (* 1/4 a) 1/2) 2))) (+ (* 1/16 (/ 1 (- (* 1/4 a) 1/2))) (* 1/4 (/ (- (* 1/4 (/ 1 (- (* 1/4 a) 1/2))) (* 1/4 (/ (- (* 1/16 (pow a 2)) 1/4) (pow (- (* 1/4 a) 1/2) 2)))) (- (* 1/4 a) 1/2)))))))) (* 1/4 (/ (- (* 1/16 (pow a 2)) 1/4) (pow (- (* 1/4 a) 1/2) 2)))))) (* 1/4 (/ 1 (- (* 1/4 a) 1/2))))))
#s(approx (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) #s(hole binary64 (- (* 1/16 (pow a 2)) 1/4)))
#s(approx (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) #s(hole binary64 (- (+ (* 1/16 (pow a 2)) (* 1/4 b)) 1/4)))
#s(approx (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) #s(hole binary64 (- (+ (* 1/16 (pow a 2)) (* b (+ 1/4 (* b (- (* -1/32 (pow a 2)) 1/16))))) 1/4)))
#s(approx (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) #s(hole binary64 (- (+ (* 1/16 (pow a 2)) (* b (+ 1/4 (* b (- (+ (* -1/32 (pow a 2)) (* -1/48 b)) 1/16))))) 1/4)))
#s(approx (/ -1 (* (+ 1 (exp b)) (+ 1 (exp b)))) #s(hole binary64 -1/4))
#s(approx (/ -1 (* (+ 1 (exp b)) (+ 1 (exp b)))) #s(hole binary64 (- (* 1/4 b) 1/4)))
#s(approx (/ -1 (* (+ 1 (exp b)) (+ 1 (exp b)))) #s(hole binary64 (- (* b (+ 1/4 (* -1/16 b))) 1/4)))
#s(approx (/ -1 (* (+ 1 (exp b)) (+ 1 (exp b)))) #s(hole binary64 (- (* b (+ 1/4 (* b (- (* -1/48 b) 1/16)))) 1/4)))
#s(approx (* (+ 1 (exp b)) (+ 1 (exp b))) #s(hole binary64 4))
#s(approx (* (+ 1 (exp b)) (+ 1 (exp b))) #s(hole binary64 (+ 4 (* 4 b))))
#s(approx (* (+ 1 (exp b)) (+ 1 (exp b))) #s(hole binary64 (+ 4 (* b (+ 4 (* 3 b))))))
#s(approx (* (+ 1 (exp b)) (+ 1 (exp b))) #s(hole binary64 (+ 4 (* b (+ 4 (* b (+ 3 (* 5/3 b))))))))
#s(approx (+ 1 (exp b)) #s(hole binary64 2))
#s(approx (+ 1 (exp b)) #s(hole binary64 (+ 2 b)))
#s(approx (+ 1 (exp b)) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#s(approx (+ 1 (exp b)) #s(hole binary64 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (exp b) #s(hole binary64 1))
#s(approx (exp b) #s(hole binary64 (+ 1 b)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx b #s(hole binary64 b))
#s(approx (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) #s(hole binary64 (- (* 1/4 a) 1/2)))
#s(approx (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) #s(hole binary64 (- (+ (* 1/4 a) (* 1/4 b)) 1/2)))
#s(approx (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) #s(hole binary64 (- (+ (* 1/4 a) (* b (+ 1/4 (* -1/16 (* a b))))) 1/2)))
#s(approx (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) #s(hole binary64 (- (+ (* 1/4 a) (* b (+ 1/4 (* b (+ (* -1/16 a) (* -1/48 b)))))) 1/2)))
#s(approx (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) #s(hole binary64 (* 1/4 a)))
#s(approx (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) #s(hole binary64 (+ (* -1/16 (* a (pow b 2))) (* 1/4 a))))
#s(approx (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) #s(hole binary64 (+ (* 1/4 a) (* (pow b 2) (+ (* -1/16 a) (* 1/96 (* a (pow b 2))))))))
#s(approx (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) #s(hole binary64 (+ (* 1/4 a) (* (pow b 2) (+ (* -1/16 a) (* (pow b 2) (+ (* -17/11520 (* a (pow b 2))) (* 1/96 a))))))))
#s(approx (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) #s(hole binary64 1/4))
#s(approx (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) #s(hole binary64 (+ 1/4 (* -1/16 (pow b 2)))))
#s(approx (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) #s(hole binary64 (+ 1/4 (* (pow b 2) (- (* 1/96 (pow b 2)) 1/16)))))
#s(approx (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) #s(hole binary64 (+ 1/4 (* (pow b 2) (- (* (pow b 2) (+ 1/96 (* -17/11520 (pow b 2)))) 1/16)))))
#s(approx (/ 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 (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 (+ (* -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 (+ 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 (* (* b b) 1/2) #s(hole binary64 (* 1/2 (pow b 2))))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (/ (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1)))) #s(hole binary64 (/ (- (* (pow a 2) (pow (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) 2)) (/ 1 (pow (+ 1 (exp b)) 2))) (- (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))))))
#s(approx (/ -1 (* (+ 1 (exp b)) (+ 1 (exp b)))) #s(hole binary64 (/ -1 (pow (+ 1 (exp b)) 2))))
#s(approx (* (+ 1 (exp b)) (+ 1 (exp b))) #s(hole binary64 (pow (+ 1 (exp b)) 2)))
#s(approx (+ 1 (exp b)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) #s(hole binary64 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))
#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 (pow (- (exp b) -1) -2) #s(hole binary64 (/ 1 (pow (+ 1 (exp b)) 2))))
#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 (+ 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 (+ (* -1/4 b) 1/2) #s(hole binary64 (* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))))
Calls

6 calls:

TimeVariablePointExpression
40.0ms
b
@-inf
((/ (exp a) (+ (exp a) (exp b))) (/ (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1)))) (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) (/ -1 (* (+ 1 (exp b)) (+ 1 (exp b)))) -1 (* (+ 1 (exp b)) (+ 1 (exp b))) (+ 1 (exp b)) 1 (exp b) b (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) (/ 1 (- (exp b) -1)) (- (exp b) -1) (pow (- (exp b) -1) -2) -2 a (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (+ (* -1/4 b) 1/2) (* -1/4 b) -1/4 (/ (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) (* (* b b) 1/2) (* b b) 1/2 (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (* (+ (* 1/2 a) 1) a) 1) (+ (* 1/2 a) 1) (+ (exp a) (exp b)) (- (exp a) -1))
23.0ms
b
@inf
((/ (exp a) (+ (exp a) (exp b))) (/ (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1)))) (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) (/ -1 (* (+ 1 (exp b)) (+ 1 (exp b)))) -1 (* (+ 1 (exp b)) (+ 1 (exp b))) (+ 1 (exp b)) 1 (exp b) b (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) (/ 1 (- (exp b) -1)) (- (exp b) -1) (pow (- (exp b) -1) -2) -2 a (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (+ (* -1/4 b) 1/2) (* -1/4 b) -1/4 (/ (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) (* (* b b) 1/2) (* b b) 1/2 (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (* (+ (* 1/2 a) 1) a) 1) (+ (* 1/2 a) 1) (+ (exp a) (exp b)) (- (exp a) -1))
21.0ms
a
@inf
((/ (exp a) (+ (exp a) (exp b))) (/ (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1)))) (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) (/ -1 (* (+ 1 (exp b)) (+ 1 (exp b)))) -1 (* (+ 1 (exp b)) (+ 1 (exp b))) (+ 1 (exp b)) 1 (exp b) b (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) (/ 1 (- (exp b) -1)) (- (exp b) -1) (pow (- (exp b) -1) -2) -2 a (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (+ (* -1/4 b) 1/2) (* -1/4 b) -1/4 (/ (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) (* (* b b) 1/2) (* b b) 1/2 (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (* (+ (* 1/2 a) 1) a) 1) (+ (* 1/2 a) 1) (+ (exp a) (exp b)) (- (exp a) -1))
12.0ms
a
@0
((/ (exp a) (+ (exp a) (exp b))) (/ (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1)))) (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) (/ -1 (* (+ 1 (exp b)) (+ 1 (exp b)))) -1 (* (+ 1 (exp b)) (+ 1 (exp b))) (+ 1 (exp b)) 1 (exp b) b (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) (/ 1 (- (exp b) -1)) (- (exp b) -1) (pow (- (exp b) -1) -2) -2 a (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (+ (* -1/4 b) 1/2) (* -1/4 b) -1/4 (/ (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) (* (* b b) 1/2) (* b b) 1/2 (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (* (+ (* 1/2 a) 1) a) 1) (+ (* 1/2 a) 1) (+ (exp a) (exp b)) (- (exp a) -1))
10.0ms
a
@-inf
((/ (exp a) (+ (exp a) (exp b))) (/ (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1)))) (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) (/ -1 (* (+ 1 (exp b)) (+ 1 (exp b)))) -1 (* (+ 1 (exp b)) (+ 1 (exp b))) (+ 1 (exp b)) 1 (exp b) b (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) (/ 1 (- (exp b) -1)) (- (exp b) -1) (pow (- (exp b) -1) -2) -2 a (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (+ (* -1/4 b) 1/2) (* -1/4 b) -1/4 (/ (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) (* (* b b) 1/2) (* b b) 1/2 (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (* (+ (* 1/2 a) 1) a) 1) (+ (* 1/2 a) 1) (+ (exp a) (exp b)) (- (exp a) -1))

rewrite225.0ms (3.5%)

Memory
16.8MiB live, 245.8MiB allocated; 76ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05314175
05643970
131993959
083083814
Stop Event
iter-limit
node-limit
iter-limit
Counts
171 → 285
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(approx (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (+.f64 #s(literal 1 binary64) (exp.f64 b))))) (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))))
(/.f64 #s(approx (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (+.f64 #s(literal 1 binary64) (exp.f64 b))))) (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
#s(approx (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(/.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
#s(literal -1 binary64)
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
#s(literal 1 binary64)
(exp.f64 b)
b
(-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a)
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))
(-.f64 (exp.f64 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))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ 1 (- (exp b) -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)
#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) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))))
(/.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 b) -1) #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) (*.f64 (*.f64 b b) #s(literal 1/2 binary64)))
(*.f64 (*.f64 b b) #s(literal 1/2 binary64))
(*.f64 b b)
#s(literal 1/2 binary64)
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64))))
#s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64))
#s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64)))
#s(approx (- (exp a) -1) #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 (/ (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1)))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1)))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) #s(hole binary64 (/ -1 (pow (+ 1 (exp b)) 2))))
#s(approx (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) #s(hole binary64 (- (* (pow a 2) (pow (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) 2)) (/ 1 (pow (+ 1 (exp b)) 2)))))
#s(approx (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) #s(hole binary64 (/ -1 (+ 1 (exp b)))))
#s(approx (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) #s(hole binary64 (- (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) #s(hole binary64 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))))
#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 (+ (* (+ (* 1/2 a) 1) a) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/2 a) 1) a) 1) #s(hole binary64 (+ 1 a)))
#s(approx (+ (* (+ (* 1/2 a) 1) a) 1) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (+ (* 1/2 a) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 a) 1) #s(hole binary64 (+ 1 (* 1/2 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) -1) #s(hole binary64 2))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 a)))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 (* a (+ 1 (* 1/2 a))))))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ (exp a) (exp b)))))
#s(approx (/ (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1)))) #s(hole binary64 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))))
#s(approx (/ (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1)))) #s(hole binary64 (* a (- (+ (/ 1 (* a (+ 1 (exp b)))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2))))))
#s(approx (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) #s(hole binary64 (* (pow a 2) (pow (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) 2))))
#s(approx (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) #s(hole binary64 (* (pow a 2) (- (pow (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) 2) (/ 1 (* (pow a 2) (pow (+ 1 (exp b)) 2)))))))
#s(approx (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) #s(hole binary64 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))))
#s(approx (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) #s(hole binary64 (* a (- (/ 1 (+ 1 (exp b))) (+ (/ 1 (* a (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (+ (* (+ (* 1/2 a) 1) a) 1) #s(hole binary64 (* 1/2 (pow a 2))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) 1) #s(hole binary64 (* (pow a 2) (+ 1/2 (/ 1 a)))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) 1) #s(hole binary64 (* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))))
#s(approx (+ (* 1/2 a) 1) #s(hole binary64 (* 1/2 a)))
#s(approx (+ (* 1/2 a) 1) #s(hole binary64 (* a (+ 1/2 (/ 1 a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b))))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 1 (exp a))))
#s(approx (/ (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1)))) #s(hole binary64 (* -1 (* a (- (* -1 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (* a (+ 1 (exp b)))))))))
#s(approx (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) #s(hole binary64 (* -1 (* a (+ (* -1 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (* a (+ 1 (exp b)))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1)))) #s(hole binary64 (/ (- (* 1/16 (pow a 2)) 1/4) (- (* 1/4 a) 1/2))))
#s(approx (/ (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1)))) #s(hole binary64 (- (+ (* 1/16 (/ (pow a 2) (- (* 1/4 a) 1/2))) (* b (- (* 1/4 (/ 1 (- (* 1/4 a) 1/2))) (* 1/4 (/ (- (* 1/16 (pow a 2)) 1/4) (pow (- (* 1/4 a) 1/2) 2)))))) (* 1/4 (/ 1 (- (* 1/4 a) 1/2))))))
#s(approx (/ (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1)))) #s(hole binary64 (- (+ (* 1/16 (/ (pow a 2) (- (* 1/4 a) 1/2))) (* b (- (+ (* 1/4 (/ 1 (- (* 1/4 a) 1/2))) (* b (- (* -1/32 (/ (pow a 2) (- (* 1/4 a) 1/2))) (+ (* -1/16 (/ (* a (- (* 1/16 (pow a 2)) 1/4)) (pow (- (* 1/4 a) 1/2) 2))) (+ (* 1/16 (/ 1 (- (* 1/4 a) 1/2))) (* 1/4 (/ (- (* 1/4 (/ 1 (- (* 1/4 a) 1/2))) (* 1/4 (/ (- (* 1/16 (pow a 2)) 1/4) (pow (- (* 1/4 a) 1/2) 2)))) (- (* 1/4 a) 1/2)))))))) (* 1/4 (/ (- (* 1/16 (pow a 2)) 1/4) (pow (- (* 1/4 a) 1/2) 2)))))) (* 1/4 (/ 1 (- (* 1/4 a) 1/2))))))
#s(approx (/ (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1)))) #s(hole binary64 (- (+ (* 1/16 (/ (pow a 2) (- (* 1/4 a) 1/2))) (* b (- (+ (* 1/4 (/ 1 (- (* 1/4 a) 1/2))) (* b (- (+ (* -1 (* b (+ (* -1/16 (/ (* a (- (* 1/4 (/ 1 (- (* 1/4 a) 1/2))) (* 1/4 (/ (- (* 1/16 (pow a 2)) 1/4) (pow (- (* 1/4 a) 1/2) 2))))) (- (* 1/4 a) 1/2))) (+ (* -1/48 (/ (- (* 1/16 (pow a 2)) 1/4) (pow (- (* 1/4 a) 1/2) 2))) (+ (* 1/48 (/ 1 (- (* 1/4 a) 1/2))) (* 1/4 (/ (- (* -1/32 (/ (pow a 2) (- (* 1/4 a) 1/2))) (+ (* -1/16 (/ (* a (- (* 1/16 (pow a 2)) 1/4)) (pow (- (* 1/4 a) 1/2) 2))) (+ (* 1/16 (/ 1 (- (* 1/4 a) 1/2))) (* 1/4 (/ (- (* 1/4 (/ 1 (- (* 1/4 a) 1/2))) (* 1/4 (/ (- (* 1/16 (pow a 2)) 1/4) (pow (- (* 1/4 a) 1/2) 2)))) (- (* 1/4 a) 1/2)))))) (- (* 1/4 a) 1/2)))))))) (* -1/32 (/ (pow a 2) (- (* 1/4 a) 1/2)))) (+ (* -1/16 (/ (* a (- (* 1/16 (pow a 2)) 1/4)) (pow (- (* 1/4 a) 1/2) 2))) (+ (* 1/16 (/ 1 (- (* 1/4 a) 1/2))) (* 1/4 (/ (- (* 1/4 (/ 1 (- (* 1/4 a) 1/2))) (* 1/4 (/ (- (* 1/16 (pow a 2)) 1/4) (pow (- (* 1/4 a) 1/2) 2)))) (- (* 1/4 a) 1/2)))))))) (* 1/4 (/ (- (* 1/16 (pow a 2)) 1/4) (pow (- (* 1/4 a) 1/2) 2)))))) (* 1/4 (/ 1 (- (* 1/4 a) 1/2))))))
#s(approx (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) #s(hole binary64 (- (* 1/16 (pow a 2)) 1/4)))
#s(approx (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) #s(hole binary64 (- (+ (* 1/16 (pow a 2)) (* 1/4 b)) 1/4)))
#s(approx (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) #s(hole binary64 (- (+ (* 1/16 (pow a 2)) (* b (+ 1/4 (* b (- (* -1/32 (pow a 2)) 1/16))))) 1/4)))
#s(approx (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) #s(hole binary64 (- (+ (* 1/16 (pow a 2)) (* b (+ 1/4 (* b (- (+ (* -1/32 (pow a 2)) (* -1/48 b)) 1/16))))) 1/4)))
#s(approx (/ -1 (* (+ 1 (exp b)) (+ 1 (exp b)))) #s(hole binary64 -1/4))
#s(approx (/ -1 (* (+ 1 (exp b)) (+ 1 (exp b)))) #s(hole binary64 (- (* 1/4 b) 1/4)))
#s(approx (/ -1 (* (+ 1 (exp b)) (+ 1 (exp b)))) #s(hole binary64 (- (* b (+ 1/4 (* -1/16 b))) 1/4)))
#s(approx (/ -1 (* (+ 1 (exp b)) (+ 1 (exp b)))) #s(hole binary64 (- (* b (+ 1/4 (* b (- (* -1/48 b) 1/16)))) 1/4)))
#s(approx (* (+ 1 (exp b)) (+ 1 (exp b))) #s(hole binary64 4))
#s(approx (* (+ 1 (exp b)) (+ 1 (exp b))) #s(hole binary64 (+ 4 (* 4 b))))
#s(approx (* (+ 1 (exp b)) (+ 1 (exp b))) #s(hole binary64 (+ 4 (* b (+ 4 (* 3 b))))))
#s(approx (* (+ 1 (exp b)) (+ 1 (exp b))) #s(hole binary64 (+ 4 (* b (+ 4 (* b (+ 3 (* 5/3 b))))))))
#s(approx (+ 1 (exp b)) #s(hole binary64 2))
#s(approx (+ 1 (exp b)) #s(hole binary64 (+ 2 b)))
#s(approx (+ 1 (exp b)) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#s(approx (+ 1 (exp b)) #s(hole binary64 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (exp b) #s(hole binary64 1))
#s(approx (exp b) #s(hole binary64 (+ 1 b)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx b #s(hole binary64 b))
#s(approx (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) #s(hole binary64 (- (* 1/4 a) 1/2)))
#s(approx (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) #s(hole binary64 (- (+ (* 1/4 a) (* 1/4 b)) 1/2)))
#s(approx (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) #s(hole binary64 (- (+ (* 1/4 a) (* b (+ 1/4 (* -1/16 (* a b))))) 1/2)))
#s(approx (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) #s(hole binary64 (- (+ (* 1/4 a) (* b (+ 1/4 (* b (+ (* -1/16 a) (* -1/48 b)))))) 1/2)))
#s(approx (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) #s(hole binary64 (* 1/4 a)))
#s(approx (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) #s(hole binary64 (+ (* -1/16 (* a (pow b 2))) (* 1/4 a))))
#s(approx (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) #s(hole binary64 (+ (* 1/4 a) (* (pow b 2) (+ (* -1/16 a) (* 1/96 (* a (pow b 2))))))))
#s(approx (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) #s(hole binary64 (+ (* 1/4 a) (* (pow b 2) (+ (* -1/16 a) (* (pow b 2) (+ (* -17/11520 (* a (pow b 2))) (* 1/96 a))))))))
#s(approx (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) #s(hole binary64 1/4))
#s(approx (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) #s(hole binary64 (+ 1/4 (* -1/16 (pow b 2)))))
#s(approx (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) #s(hole binary64 (+ 1/4 (* (pow b 2) (- (* 1/96 (pow b 2)) 1/16)))))
#s(approx (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) #s(hole binary64 (+ 1/4 (* (pow b 2) (- (* (pow b 2) (+ 1/96 (* -17/11520 (pow b 2)))) 1/16)))))
#s(approx (/ 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 (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 (+ (* -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 (+ 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 (* (* b b) 1/2) #s(hole binary64 (* 1/2 (pow b 2))))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (/ (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1)))) #s(hole binary64 (/ (- (* (pow a 2) (pow (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) 2)) (/ 1 (pow (+ 1 (exp b)) 2))) (- (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))))))
#s(approx (/ -1 (* (+ 1 (exp b)) (+ 1 (exp b)))) #s(hole binary64 (/ -1 (pow (+ 1 (exp b)) 2))))
#s(approx (* (+ 1 (exp b)) (+ 1 (exp b))) #s(hole binary64 (pow (+ 1 (exp b)) 2)))
#s(approx (+ 1 (exp b)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) #s(hole binary64 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))
#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 (pow (- (exp b) -1) -2) #s(hole binary64 (/ 1 (pow (+ 1 (exp b)) 2))))
#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 (+ 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 (+ (* -1/4 b) 1/2) #s(hole binary64 (* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(approx (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (+.f64 #s(literal 1 binary64) (exp.f64 b))))) (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))))
(/.f64 (neg.f64 #s(approx (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))) (neg.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))))
(/.f64 #s(approx (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (+.f64 #s(literal 1 binary64) (exp.f64 b))))) (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
#s(approx (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(pow.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
#s(literal -1 binary64)
(*.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(*.f64 (neg.f64 (fabs.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (neg.f64 (fabs.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(*.f64 (fabs.f64 (fabs.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (fabs.f64 (fabs.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(*.f64 (exp.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (exp.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(*.f64 (fabs.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b))) (fabs.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(pow.f64 (exp.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (+.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 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b))) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b)))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)) (-.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 3 binary64) b)))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 #s(literal 0 binary64) b))))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 3 binary64) b))) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b)))) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 #s(literal 0 binary64) b)))) (-.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 3 binary64) b))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 3 binary64) b)))) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 #s(literal 0 binary64) b)))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 #s(literal 0 binary64) b))))))
(fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (exp.f64 b)))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 (exp.f64 b) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(fabs.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal 2 binary64))))
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (exp.f64 b)))
(+.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (*.f64 (exp.f64 b) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal -1 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b))) (-.f64 #s(literal 1 binary64) (exp.f64 b)))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 3 binary64) b))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 #s(literal 0 binary64) b)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+.f64 (exp.f64 b) #s(literal 1 binary64))
#s(literal 1 binary64)
(exp.f64 b)
(+.f64 (cosh.f64 b) (sinh.f64 b))
b
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a) #s(literal 3 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a) #s(literal 2 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
(-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
(*.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64)) a)
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a)
(*.f64 a (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64)))
(*.f64 a (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))))
(pow.f64 (pow.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -4 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))))
(/.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -3 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -6 binary64))) (+.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -4 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -3 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64)))
(pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (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 (expm1.f64 (+.f64 b b)) (+.f64 (exp.f64 b) #s(literal -1 binary64)))
(/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 3 binary64) b)) #s(literal -1 binary64)) (+.f64 (exp.f64 (+.f64 b b)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) #s(literal -1 binary64)))))
(-.f64 (exp.f64 b) #s(literal -1 binary64))
(*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
(*.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))) (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
(*.f64 (/.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))))
(pow.f64 (exp.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)))) #s(literal -2 binary64))
(pow.f64 (*.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.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 #s(literal -1 binary64) (*.f64 (neg.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) (neg.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) (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 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (exp.f64 b) #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 -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) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ 1 (- (exp b) -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)
(*.f64 b #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
(pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)))
(exp.f64 (*.f64 (log.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))) #s(literal -1 binary64)))
#s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 b b)) (-.f64 #s(literal 2 binary64) b))
(/.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b b) b)) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 b b) (*.f64 #s(literal 2 binary64) b))))
(+.f64 #s(literal 2 binary64) b)
(+.f64 b #s(literal 2 binary64))
#s(literal 2 binary64)
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(/.f64 #s(literal -1 binary64) (neg.f64 #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(/.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)))))
(exp.f64 (*.f64 (log.f64 #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))) #s(literal -1 binary64)))
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#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64)))
(*.f64 (*.f64 b b) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 b b))
(*.f64 b (*.f64 #s(literal 1/2 binary64) b))
(*.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 b)))
(*.f64 (neg.f64 (fabs.f64 b)) (neg.f64 (fabs.f64 b)))
(*.f64 (fabs.f64 (fabs.f64 b)) (fabs.f64 (fabs.f64 b)))
(*.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)))
(*.f64 (neg.f64 b) (neg.f64 b))
(*.f64 (fabs.f64 b) (fabs.f64 b))
(*.f64 b b)
(pow.f64 (exp.f64 (log.f64 b)) #s(literal 2 binary64))
(pow.f64 (neg.f64 b) #s(literal 2 binary64))
(pow.f64 (fabs.f64 b) #s(literal 2 binary64))
(pow.f64 (*.f64 b b) #s(literal 1 binary64))
(pow.f64 b #s(literal 2 binary64))
(fabs.f64 (*.f64 b b))
(exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))))
#s(literal 1/2 binary64)
(/.f64 (neg.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))) (neg.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64))))
#s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a) (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a)))
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a) (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a)) #s(literal 1 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a) (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a)) (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a) (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a) #s(literal 1 binary64)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))
(fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 a) (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64))))
(+.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1/2 binary64)) a)
(*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 #s(literal 1/2 binary64) a)) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 #s(literal 1/2 binary64) a))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a)))
(/.f64 (fma.f64 (*.f64 (*.f64 a a) a) #s(literal 1/8 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 #s(literal 1/2 binary64) a) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64)))))
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(fma.f64 #s(literal 1/2 binary64) a (*.f64 a (/.f64 #s(literal 1 binary64) a)))
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64))
(fma.f64 a #s(literal 1/2 binary64) (*.f64 a (/.f64 #s(literal 1 binary64) a)))
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) a))
(+.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 a (/.f64 #s(literal 1 binary64) a)))
(+.f64 (*.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a))
#s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64)))
#s(approx (- (exp a) -1) #s(literal 2 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (fma.f64 a (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -3 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)) #s(literal 3/2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (-.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -3 binary64)) (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)) (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -4 binary64)))))) a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -3 binary64))) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)) #s(literal 3/2 binary64)))) a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
#s(approx (/ (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
#s(approx (/ (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1)))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
#s(approx (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
#s(approx (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) (-.f64 (pow.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) a) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))))
#s(approx (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
#s(approx (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) a) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
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#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 (+ (* (+ (* 1/2 a) 1) a) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (+.f64 #s(literal 1 binary64) a))
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#s(approx (+ (* 1/2 a) 1) #s(literal 1 binary64))
#s(approx (+ (* 1/2 a) 1) (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)))
#s(approx (+ (exp a) (exp b)) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
#s(approx (+ (exp a) (exp b)) (+.f64 (+.f64 (exp.f64 b) a) #s(literal 1 binary64)))
#s(approx (+ (exp a) (exp b)) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (exp.f64 b)) #s(literal 1 binary64)))
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#s(approx (- (exp a) -1) #s(literal 2 binary64))
#s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a))
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#s(approx (exp a) (exp.f64 a))
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#s(approx (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) (-.f64 (fma.f64 #s(literal 1/4 binary64) b (*.f64 #s(literal 1/16 binary64) (*.f64 a a))) #s(literal 1/4 binary64)))
#s(approx (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) (-.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 a a)) #s(literal 1/16 binary64)) b #s(literal 1/4 binary64)) b (*.f64 #s(literal 1/16 binary64) (*.f64 a a))) #s(literal 1/4 binary64)))
#s(approx (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) (-.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 #s(literal -1/48 binary64) b (*.f64 #s(literal -1/32 binary64) (*.f64 a a))) #s(literal 1/16 binary64)) b #s(literal 1/4 binary64)) b (*.f64 #s(literal 1/16 binary64) (*.f64 a a))) #s(literal 1/4 binary64)))
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#s(approx (/ -1 (* (+ 1 (exp b)) (+ 1 (exp b)))) (-.f64 (*.f64 (fma.f64 #s(literal -1/16 binary64) b #s(literal 1/4 binary64)) b) #s(literal 1/4 binary64)))
#s(approx (/ -1 (* (+ 1 (exp b)) (+ 1 (exp b)))) (-.f64 (*.f64 (fma.f64 (-.f64 (*.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 (* (+ 1 (exp b)) (+ 1 (exp b))) #s(literal 4 binary64))
#s(approx (* (+ 1 (exp b)) (+ 1 (exp b))) (fma.f64 #s(literal 4 binary64) b #s(literal 4 binary64)))
#s(approx (* (+ 1 (exp b)) (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 3 binary64) b #s(literal 4 binary64)) b #s(literal 4 binary64)))
#s(approx (* (+ 1 (exp b)) (+ 1 (exp b))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/3 binary64) b #s(literal 3 binary64)) b #s(literal 4 binary64)) b #s(literal 4 binary64)))
#s(approx (+ 1 (exp b)) #s(literal 2 binary64))
#s(approx (+ 1 (exp b)) (+.f64 #s(literal 2 binary64) b))
#s(approx (+ 1 (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
#s(approx (+ 1 (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 2 binary64)))
#s(approx (exp b) #s(literal 1 binary64))
#s(approx (exp b) (+.f64 #s(literal 1 binary64) b))
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#s(approx b b)
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#s(approx (- (/ 1 (- (exp b) -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 (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64))
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#s(approx (- (exp b) -1) #s(literal 2 binary64))
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#s(approx (pow (- (exp b) -1) -2) #s(literal 1/4 binary64))
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#s(approx (* b b) (*.f64 b b))
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#s(approx (+ (exp a) (exp b)) (+.f64 (+.f64 b (exp.f64 a)) #s(literal 1 binary64)))
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#s(approx (+ (* -1/4 b) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/4 binary64)) 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 (+ (* (+ (* 1/2 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 (/.f64 #s(literal 1 binary64) b) #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 b b))) (*.f64 b 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)))

eval38.0ms (0.6%)

Memory
21.6MiB live, 65.2MiB allocated; 10ms collecting garbage
Compiler

Compiled 4 021 to 1 783 computations (55.7% saved)

prune22.0ms (0.3%)

Memory
-21.0MiB live, 24.8MiB allocated; 8ms collecting garbage
Pruning

17 alts after pruning (8 fresh and 9 done)

PrunedKeptTotal
New2965301
Fresh134
Picked145
Done156
Total29917316
Accuracy
100.0%
Counts
316 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
67.7%
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
66.6%
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64))))
76.6%
(/.f64 #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) (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))))
40.7%
(/.f64 #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) (exp b)) #s(approx (- (exp a) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
39.5%
(/.f64 #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) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64))))
39.6%
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64))))
12.4%
(/.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))) #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64))))
53.9%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(approx (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (+.f64 #s(literal 1 binary64) (exp.f64 b))))) #s(approx (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))))
81.2%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
37.9%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
15.7%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))))
3.4%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ 2 b) b))))
37.0%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #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))))
38.0%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
4.2%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
40.0%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
40.0%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
Compiler

Compiled 599 to 428 computations (28.5% saved)

regimes111.0ms (1.7%)

Memory
0.9MiB live, 50.4MiB allocated; 114ms collecting garbage
Counts
24 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#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))) #s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 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))))))
(/.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))) #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 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)))))
(/.f64 #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) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #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))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #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))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(approx (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (+.f64 #s(literal 1 binary64) (exp.f64 b))))) #s(approx (- (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (neg.f64 b) (exp.f64 (-.f64 a (*.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #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 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(approx (- (pow (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) 2) (pow (- (exp b) -1) -2)) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (+.f64 #s(literal 1 binary64) (exp.f64 b))))) (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a) #s(literal 2 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))))
Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Calls

5 calls:

86.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
7.0ms
b
7.0ms
a
5.0ms
(exp.f64 a)
5.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
98.4%1(exp.f64 b)
98.4%1(exp.f64 a)
100.0%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
98.4%1a
98.4%1b
Compiler

Compiled 13 to 16 computations (-23.1% saved)

regimes38.0ms (0.6%)

Memory
-7.0MiB live, 41.9MiB allocated; 19ms collecting garbage
Counts
18 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#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))) #s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 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))))))
(/.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))) #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 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)))))
(/.f64 #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) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #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))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #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))))
Outputs
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #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))))
Calls

5 calls:

19.0ms
(exp.f64 a)
5.0ms
b
5.0ms
a
4.0ms
(exp.f64 b)
4.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Results
AccuracySegmentsBranch
99.6%3(exp.f64 b)
99.4%2(exp.f64 a)
83.1%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
99.4%2a
99.6%3b
Compiler

Compiled 13 to 16 computations (-23.1% saved)

regimes9.0ms (0.1%)

Memory
17.6MiB live, 17.6MiB allocated; 0ms collecting garbage
Counts
17 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#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))) #s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 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))))))
(/.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))) #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 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)))))
(/.f64 #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) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #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))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
Outputs
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #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:

5.0ms
a
3.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
98.9%2(exp.f64 a)
98.9%2a
Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes16.0ms (0.2%)

Memory
-26.8MiB live, 19.0MiB allocated; 7ms collecting garbage
Counts
16 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#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))) #s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 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))))))
(/.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))) #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 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)))))
(/.f64 #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) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #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))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
Outputs
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 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:

5.0ms
a
3.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
98.3%2(exp.f64 a)
98.3%2a
Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes18.0ms (0.3%)

Memory
28.9MiB live, 28.9MiB allocated; 0ms collecting garbage
Counts
14 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#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))) #s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 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))))))
(/.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))) #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 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)))))
(/.f64 #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) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #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))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64))))
Outputs
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))))
Calls

5 calls:

4.0ms
a
4.0ms
b
3.0ms
(exp.f64 b)
3.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
3.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
66.6%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
69.4%2(exp.f64 b)
73.5%2b
72.0%2(exp.f64 a)
72.2%2a
Compiler

Compiled 13 to 16 computations (-23.1% saved)

regimes24.0ms (0.4%)

Memory
-14.0MiB live, 31.6MiB allocated; 8ms collecting garbage
Counts
13 → 3
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#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))) #s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 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))))))
(/.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))) #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 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)))))
(/.f64 #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) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #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))))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
(/.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))) #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))))
Calls

5 calls:

9.0ms
(exp.f64 a)
4.0ms
a
4.0ms
b
3.0ms
(exp.f64 b)
3.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Results
AccuracySegmentsBranch
52.1%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
52.5%2(exp.f64 b)
50.1%1(exp.f64 a)
50.1%1a
57.0%3b
Compiler

Compiled 13 to 16 computations (-23.1% saved)

regimes5.0ms (0.1%)

Memory
14.1MiB live, 14.1MiB allocated; 0ms collecting garbage
Counts
8 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#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))) #s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))))
Calls

2 calls:

3.0ms
b
2.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
52.2%2(exp.f64 b)
52.2%2b
Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes31.0ms (0.5%)

Memory
-24.5MiB live, 24.4MiB allocated; 22ms collecting garbage
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#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))) #s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64))))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
Calls

5 calls:

22.0ms
(exp.f64 a)
3.0ms
b
2.0ms
a
2.0ms
(exp.f64 b)
2.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Results
AccuracySegmentsBranch
40.0%1(exp.f64 a)
40.0%1a
40.0%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
40.0%1(exp.f64 b)
40.0%1b
Compiler

Compiled 13 to 16 computations (-23.1% saved)

regimes7.0ms (0.1%)

Memory
12.5MiB live, 12.5MiB allocated; 0ms collecting garbage
Accuracy

Total -24.3b remaining (-63.2%)

Threshold costs -24.3b (-63.2%)

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

5 calls:

1.0ms
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
40.0%1(exp.f64 a)
40.0%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
40.0%1a
40.0%1(exp.f64 b)
40.0%1b
Compiler

Compiled 13 to 16 computations (-23.1% saved)

bsearch13.0ms (0.2%)

Memory
24.1MiB live, 24.1MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
-0.7545652109401874
-3.3776685151350608e-6
Samples
7.0ms144×0valid
Compiler

Compiled 263 to 254 computations (3.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-exp: 2.0ms (56.8% of total)
ival-div!: 1.0ms (28.4% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)

bsearch22.0ms (0.3%)

Memory
-33.0MiB live, 12.9MiB allocated; 12ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
21.0ms
-1.7209113473299042e-9
-4.268073741252738e-12
Samples
16.0ms128×0valid
Compiler

Compiled 203 to 203 computations (0% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-exp: 2.0ms (65.7% of total)
ival-div!: 1.0ms (32.9% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
-1.7209113473299042e-9
-4.268073741252738e-12
Compiler

Compiled 219 to 219 computations (0% saved)

bsearch14.0ms (0.2%)

Memory
21.5MiB live, 21.5MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
13.0ms
6.850723618514242e+153
1.1907769711317522e+167
Samples
7.0ms160×0valid
Compiler

Compiled 391 to 381 computations (2.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-exp: 2.0ms (58% of total)
ival-div!: 1.0ms (29% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)

bsearch37.0ms (0.6%)

Memory
-9.4MiB live, 35.0MiB allocated; 11ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
21.0ms
1.2259908296868601e+126
1.616405666196393e+135
14.0ms
1.6572713117590806e-13
502076.39748789556
Samples
13.0ms304×0valid
Compiler

Compiled 962 to 874 computations (9.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-exp: 5.0ms (70.3% of total)
ival-add!: 1.0ms (14.1% of total)
ival-div!: 1.0ms (14.1% of total)
adjust: 0.0ms (0% of total)

bsearch12.0ms (0.2%)

Memory
12.2MiB live, 12.2MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
11.0ms
1.6572713117590806e-13
502076.39748789556
Samples
6.0ms128×0valid
Compiler

Compiled 531 to 461 computations (13.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-exp: 2.0ms (62.7% of total)
ival-div!: 1.0ms (31.4% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)

derivations334.0ms (5.2%)

Memory
-10.8MiB live, 217.8MiB allocated; 79ms collecting garbage
Stop Event
fuel
Compiler

Compiled 118 to 86 computations (27.1% saved)

preprocess103.0ms (1.6%)

Memory
12.0MiB live, 151.6MiB allocated; 49ms collecting garbage
Compiler

Compiled 133 to 99 computations (25.6% saved)

end0.0ms (0%)

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

Profiling

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