Quotient of sum of exps

Time bar (total: 3.5s)

start0.0ms (0%)

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

analyze5.0ms (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)

sample1.3s (36.1%)

Memory
23.8MiB live, 1 696.7MiB allocated; 336ms collecting garbage
Samples
698.0ms8 256×0valid
166.0ms2 993×0exit
Precisions
Click to see histograms. Total time spent on operations: 510.0ms
ival-exp: 321.0ms (62.9% of total)
ival-div!: 110.0ms (21.5% of total)
ival-add!: 77.0ms (15.1% of total)
adjust: 2.0ms (0.4% of total)
Bogosity

preprocess33.0ms (0.9%)

Memory
1.3MiB live, 46.7MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01856
15456
218756
378851
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 14 to 12 computations (14.3% saved)

series19.0ms (0.5%)

Memory
-25.2MiB live, 18.3MiB allocated; 10ms collecting garbage
Counts
6 → 29
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 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
13.0ms
a
@-inf
((/ (exp a) (+ (exp a) (exp b))) (exp a) a (+ (exp a) (exp b)) (exp b) b)
1.0ms
a
@0
((/ (exp a) (+ (exp a) (exp b))) (exp a) a (+ (exp a) (exp b)) (exp b) b)
1.0ms
b
@0
((/ (exp a) (+ (exp a) (exp b))) (exp a) a (+ (exp a) (exp b)) (exp b) b)
1.0ms
a
@inf
((/ (exp a) (+ (exp a) (exp b))) (exp a) a (+ (exp a) (exp b)) (exp b) b)
1.0ms
b
@inf
((/ (exp a) (+ (exp a) (exp b))) (exp a) a (+ (exp a) (exp b)) (exp b) b)

rewrite186.0ms (5.3%)

Memory
26.6MiB live, 269.2MiB allocated; 52ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0153726
0157689
11025680
08032635
Stop Event
iter-limit
node-limit
iter-limit
Counts
35 → 53
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 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)))))
(+.f64 (cosh.f64 a) (sinh.f64 a))
(exp.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)))))
(+.f64 (cosh.f64 b) (sinh.f64 b))
(exp.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))) (+.f64 (neg.f64 (*.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 (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)))))) 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 a) (exp b))) (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (+.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))))) 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))))))) 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) (-.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))

eval22.0ms (0.6%)

Memory
-33.6MiB live, 13.0MiB allocated; 3ms collecting garbage
Compiler

Compiled 685 to 260 computations (62% saved)

prune2.0ms (0.1%)

Memory
5.6MiB live, 5.6MiB allocated; 0ms collecting garbage
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New44448
Fresh000
Picked101
Done000
Total45449
Accuracy
100.0%
Counts
49 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
64.1%
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
82.0%
(/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b)))
81.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
61.6%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (neg.f64 (*.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)))))
Compiler

Compiled 59 to 50 computations (15.3% saved)

series118.0ms (3.3%)

Memory
33.6MiB live, 309.6MiB allocated; 42ms collecting garbage
Counts
26 → 87
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (neg.f64 (*.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)))))
(+.f64 (neg.f64 (*.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 (*.f64 b (exp.f64 (-.f64 a (*.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64))))))
(*.f64 b (exp.f64 (-.f64 a (*.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)))))
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 -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))) (/.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)
(/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b)))
#s(approx (exp a) (-.f64 a #s(literal -1 binary64)))
(-.f64 a #s(literal -1 binary64))
(+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b))
(/.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 (* 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 (* 1/4 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 (* a (+ 1/4 (* 1/4 (* a (* b (exp (neg (* 2 (log 2)))))))))) (* 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 (* a (+ 1/4 (* a (- (* -1/48 a) (* -1/4 (* b (exp (neg (* 2 (log 2))))))))))) (* b (exp (neg (* 2 (log 2))))))))
#s(approx (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) #s(hole binary64 (* -1 (* b (exp (neg (* 2 (log 2))))))))
#s(approx (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) #s(hole binary64 (- (* 1/4 (* (pow a 2) (* b (exp (neg (* 2 (log 2))))))) (* b (exp (neg (* 2 (log 2))))))))
#s(approx (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) #s(hole binary64 (- (* (pow a 2) (- (* -1/24 (* (pow a 2) (* b (exp (neg (* 2 (log 2))))))) (* -1/4 (* b (exp (neg (* 2 (log 2)))))))) (* b (exp (neg (* 2 (log 2))))))))
#s(approx (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) #s(hole binary64 (- (* (pow a 2) (- (* (pow a 2) (- (* 17/2880 (* (pow a 2) (* b (exp (neg (* 2 (log 2))))))) (* 1/24 (* b (exp (neg (* 2 (log 2)))))))) (* -1/4 (* b (exp (neg (* 2 (log 2)))))))) (* b (exp (neg (* 2 (log 2))))))))
#s(approx (* b (exp (- a (* (log (- (exp a) -1)) 2)))) #s(hole binary64 (* b (exp (neg (* 2 (log 2)))))))
#s(approx (* b (exp (- a (* (log (- (exp a) -1)) 2)))) #s(hole binary64 (+ (* -1/4 (* (pow a 2) (* b (exp (neg (* 2 (log 2))))))) (* b (exp (neg (* 2 (log 2))))))))
#s(approx (* b (exp (- a (* (log (- (exp a) -1)) 2)))) #s(hole binary64 (+ (* b (exp (neg (* 2 (log 2))))) (* (pow a 2) (+ (* -1/4 (* b (exp (neg (* 2 (log 2)))))) (* 1/24 (* (pow a 2) (* b (exp (neg (* 2 (log 2))))))))))))
#s(approx (* b (exp (- a (* (log (- (exp a) -1)) 2)))) #s(hole binary64 (+ (* b (exp (neg (* 2 (log 2))))) (* (pow a 2) (+ (* -1/4 (* b (exp (neg (* 2 (log 2)))))) (* (pow a 2) (+ (* -17/2880 (* (pow a 2) (* b (exp (neg (* 2 (log 2))))))) (* 1/24 (* 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 (+ (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 (- (/ (exp a) (+ 1 (exp a))) (* b (exp (- a (* 2 (log (+ 1 (exp a))))))))))
#s(approx (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) #s(hole binary64 (* -1 (* b (exp (- a (* 2 (log (+ 1 (exp a))))))))))
#s(approx (* b (exp (- a (* (log (- (exp a) -1)) 2)))) #s(hole binary64 (* b (exp (- a (* 2 (log (+ 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 (+ 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 (- a -1) #s(hole binary64 (* a (+ 1 (/ 1 a)))))
#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 (- (/ (exp a) (+ 1 (exp a))) (* b (exp (neg (+ (* -1 a) (* 2 (log (+ 1 (exp a)))))))))))
#s(approx (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) #s(hole binary64 (* -1 (* b (exp (neg (+ (* -1 a) (* 2 (log (+ 1 (exp a)))))))))))
#s(approx (* b (exp (- a (* (log (- (exp a) -1)) 2)))) #s(hole binary64 (* b (exp (neg (+ (* -1 a) (* 2 (log (+ 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 (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (+ (neg (* b (exp (- a (* (log (- (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 b #s(hole binary64 b))
#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 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 b)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* b (- (/ (exp a) (* b (+ 1 (exp a)))) (exp (- a (* 2 (log (+ 1 (exp a))))))))))
#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 (- (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (* -1 (exp (- a (* 2 (log (+ 1 (exp a))))))))))))
Calls

6 calls:

TimeVariablePointExpression
34.0ms
a
@inf
((/ (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))))) (* b (exp (- a (* (log (- (exp a) -1)) 2)))) 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) -1 2 (/ (exp a) (- (exp a) -1)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) 1 (- (exp b) -1) (exp b) (/ (exp a) (+ (exp a) (exp b))) (exp a) (- a -1) (+ (exp a) (exp b)) (/ (exp a) (+ (exp a) (exp b))) (+ (exp a) (exp b)))
30.0ms
a
@-inf
((/ (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))))) (* b (exp (- a (* (log (- (exp a) -1)) 2)))) 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) -1 2 (/ (exp a) (- (exp a) -1)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) 1 (- (exp b) -1) (exp b) (/ (exp a) (+ (exp a) (exp b))) (exp a) (- a -1) (+ (exp a) (exp b)) (/ (exp a) (+ (exp a) (exp b))) (+ (exp a) (exp b)))
27.0ms
b
@0
((/ (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))))) (* b (exp (- a (* (log (- (exp a) -1)) 2)))) 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) -1 2 (/ (exp a) (- (exp a) -1)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) 1 (- (exp b) -1) (exp b) (/ (exp a) (+ (exp a) (exp b))) (exp a) (- a -1) (+ (exp a) (exp b)) (/ (exp a) (+ (exp a) (exp b))) (+ (exp a) (exp b)))
12.0ms
b
@-inf
((/ (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))))) (* b (exp (- a (* (log (- (exp a) -1)) 2)))) 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) -1 2 (/ (exp a) (- (exp a) -1)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) 1 (- (exp b) -1) (exp b) (/ (exp a) (+ (exp a) (exp b))) (exp a) (- a -1) (+ (exp a) (exp b)) (/ (exp a) (+ (exp a) (exp b))) (+ (exp a) (exp b)))
9.0ms
b
@inf
((/ (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))))) (* b (exp (- a (* (log (- (exp a) -1)) 2)))) 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) -1 2 (/ (exp a) (- (exp a) -1)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) 1 (- (exp b) -1) (exp b) (/ (exp a) (+ (exp a) (exp b))) (exp a) (- a -1) (+ (exp a) (exp b)) (/ (exp a) (+ (exp a) (exp b))) (+ (exp a) (exp b)))

rewrite252.0ms (7.2%)

Memory
28.1MiB live, 348.5MiB allocated; 109ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04202479
04562299
126172178
0108192037
Stop Event
iter-limit
node-limit
iter-limit
Counts
113 → 181
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (neg.f64 (*.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)))))
(+.f64 (neg.f64 (*.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 (*.f64 b (exp.f64 (-.f64 a (*.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64))))))
(*.f64 b (exp.f64 (-.f64 a (*.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)))))
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 -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))) (/.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)
(/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b)))
#s(approx (exp a) (-.f64 a #s(literal -1 binary64)))
(-.f64 a #s(literal -1 binary64))
(+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b))
(/.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 (* 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 (* 1/4 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 (* a (+ 1/4 (* 1/4 (* a (* b (exp (neg (* 2 (log 2)))))))))) (* 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 (* a (+ 1/4 (* a (- (* -1/48 a) (* -1/4 (* b (exp (neg (* 2 (log 2))))))))))) (* b (exp (neg (* 2 (log 2))))))))
#s(approx (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) #s(hole binary64 (* -1 (* b (exp (neg (* 2 (log 2))))))))
#s(approx (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) #s(hole binary64 (- (* 1/4 (* (pow a 2) (* b (exp (neg (* 2 (log 2))))))) (* b (exp (neg (* 2 (log 2))))))))
#s(approx (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) #s(hole binary64 (- (* (pow a 2) (- (* -1/24 (* (pow a 2) (* b (exp (neg (* 2 (log 2))))))) (* -1/4 (* b (exp (neg (* 2 (log 2)))))))) (* b (exp (neg (* 2 (log 2))))))))
#s(approx (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) #s(hole binary64 (- (* (pow a 2) (- (* (pow a 2) (- (* 17/2880 (* (pow a 2) (* b (exp (neg (* 2 (log 2))))))) (* 1/24 (* b (exp (neg (* 2 (log 2)))))))) (* -1/4 (* b (exp (neg (* 2 (log 2)))))))) (* b (exp (neg (* 2 (log 2))))))))
#s(approx (* b (exp (- a (* (log (- (exp a) -1)) 2)))) #s(hole binary64 (* b (exp (neg (* 2 (log 2)))))))
#s(approx (* b (exp (- a (* (log (- (exp a) -1)) 2)))) #s(hole binary64 (+ (* -1/4 (* (pow a 2) (* b (exp (neg (* 2 (log 2))))))) (* b (exp (neg (* 2 (log 2))))))))
#s(approx (* b (exp (- a (* (log (- (exp a) -1)) 2)))) #s(hole binary64 (+ (* b (exp (neg (* 2 (log 2))))) (* (pow a 2) (+ (* -1/4 (* b (exp (neg (* 2 (log 2)))))) (* 1/24 (* (pow a 2) (* b (exp (neg (* 2 (log 2))))))))))))
#s(approx (* b (exp (- a (* (log (- (exp a) -1)) 2)))) #s(hole binary64 (+ (* b (exp (neg (* 2 (log 2))))) (* (pow a 2) (+ (* -1/4 (* b (exp (neg (* 2 (log 2)))))) (* (pow a 2) (+ (* -17/2880 (* (pow a 2) (* b (exp (neg (* 2 (log 2))))))) (* 1/24 (* 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 (+ (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 (- (/ (exp a) (+ 1 (exp a))) (* b (exp (- a (* 2 (log (+ 1 (exp a))))))))))
#s(approx (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) #s(hole binary64 (* -1 (* b (exp (- a (* 2 (log (+ 1 (exp a))))))))))
#s(approx (* b (exp (- a (* (log (- (exp a) -1)) 2)))) #s(hole binary64 (* b (exp (- a (* 2 (log (+ 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 (+ 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 (- a -1) #s(hole binary64 (* a (+ 1 (/ 1 a)))))
#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 (- (/ (exp a) (+ 1 (exp a))) (* b (exp (neg (+ (* -1 a) (* 2 (log (+ 1 (exp a)))))))))))
#s(approx (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) #s(hole binary64 (* -1 (* b (exp (neg (+ (* -1 a) (* 2 (log (+ 1 (exp a)))))))))))
#s(approx (* b (exp (- a (* (log (- (exp a) -1)) 2)))) #s(hole binary64 (* b (exp (neg (+ (* -1 a) (* 2 (log (+ 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 (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (+ (neg (* b (exp (- a (* (log (- (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 b #s(hole binary64 b))
#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 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 b)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* b (- (/ (exp a) (* b (+ 1 (exp a)))) (exp (- a (* 2 (log (+ 1 (exp a))))))))))
#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 (- (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (* -1 (exp (- a (* 2 (log (+ 1 (exp a))))))))))))
Outputs
#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)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 b) (exp.f64 (-.f64 a (*.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64))))) #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 (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))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 b) (exp.f64 (-.f64 a (*.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 b) (exp.f64 (-.f64 a (*.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64))))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (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))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 b) (exp.f64 (-.f64 a (*.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64))))) #s(literal 2 binary64)) (pow.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64))) (-.f64 (*.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)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 b) (exp.f64 (-.f64 a (*.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (neg.f64 b) (exp.f64 (-.f64 a (*.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64))))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (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))))
(fma.f64 b (neg.f64 (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))))
(-.f64 (/.f64 (pow.f64 (*.f64 (neg.f64 b) (exp.f64 (-.f64 a (*.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64))))) #s(literal 2 binary64)) (-.f64 (*.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))))) (/.f64 (pow.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (*.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))))))
(+.f64 (/.f64 (pow.f64 (*.f64 (neg.f64 b) (exp.f64 (-.f64 a (*.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64))))) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (neg.f64 b) (exp.f64 (-.f64 a (*.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64))))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (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))))))) (/.f64 (pow.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (neg.f64 b) (exp.f64 (-.f64 a (*.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64))))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (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))))))))
(+.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (*.f64 (neg.f64 b) (exp.f64 (-.f64 a (*.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64))))))
(+.f64 (*.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))))
(*.f64 (neg.f64 b) (exp.f64 (-.f64 a (*.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)))))
(*.f64 b (neg.f64 (exp.f64 (-.f64 a (*.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64))))))
(neg.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)))) b))
(*.f64 (exp.f64 (-.f64 a (*.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)))) b)
(*.f64 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) (exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)))) #s(literal 2 binary64))))
(/.f64 (neg.f64 (exp.f64 a)) (neg.f64 (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64))))
(/.f64 (exp.f64 a) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64)))
(+.f64 (/.f64 (cosh.f64 a) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (sinh.f64 a) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (-.f64 a (*.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)))) (sinh.f64 (-.f64 a (*.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)))))
(exp.f64 (-.f64 a (*.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 a a) (pow.f64 (*.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (+.f64 a (*.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 a a) a) (*.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 8 binary64)))) (neg.f64 (fma.f64 a a (+.f64 (pow.f64 (*.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 a (*.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (*.f64 a a) (pow.f64 (*.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 a (*.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 a a) a) (*.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 a a (+.f64 (pow.f64 (*.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 a (*.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64))))))
(-.f64 (/.f64 (*.f64 a a) (+.f64 a (*.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 a (*.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 a a) a) (fma.f64 a a (+.f64 (pow.f64 (*.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 a (*.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)))))) (/.f64 (*.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 a a (+.f64 (pow.f64 (*.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.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)))
(+.f64 a (*.f64 (neg.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))
(*.f64 #s(literal 2 binary64) (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(log.f64 (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64)))
(-.f64 (log.f64 (expm1.f64 (+.f64 a a))) (log.f64 (+.f64 (exp.f64 a) #s(literal -1 binary64))))
(-.f64 (log.f64 (-.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) #s(literal -1 binary64))) (log.f64 (+.f64 (exp.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) #s(literal -1 binary64))))))
(log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)))
(/.f64 (neg.f64 (expm1.f64 (+.f64 a a))) (neg.f64 (+.f64 (exp.f64 a) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) #s(literal -1 binary64))) (neg.f64 (+.f64 (exp.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) #s(literal -1 binary64))))))
(/.f64 (expm1.f64 (+.f64 a a)) (+.f64 (exp.f64 a) #s(literal -1 binary64)))
(/.f64 (-.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 (exp.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) #s(literal -1 binary64)))))
(-.f64 (/.f64 (exp.f64 (+.f64 a a)) (+.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal -1 binary64))))
(-.f64 (/.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) #s(literal -1 binary64))))))
(-.f64 (exp.f64 a) #s(literal -1 binary64))
(+.f64 (cosh.f64 a) (sinh.f64 a))
(exp.f64 a)
#s(literal -1 binary64)
#s(literal 2 binary64)
(/.f64 (neg.f64 (neg.f64 (exp.f64 a))) (neg.f64 (neg.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (exp.f64 a)) (neg.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64)))
(+.f64 (/.f64 (cosh.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 (sinh.f64 a) (-.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))))
(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)))
#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))
(+.f64 (cosh.f64 b) (sinh.f64 b))
(exp.f64 b)
(/.f64 (neg.f64 (neg.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))))) (neg.f64 (neg.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b)))))
(/.f64 (neg.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64)))) (neg.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b))))
(/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b)))
#s(approx (exp a) (-.f64 a #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 (*.f64 a a) #s(literal 1 binary64))) (neg.f64 (+.f64 a #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 a a) a) #s(literal -1 binary64))) (neg.f64 (fma.f64 a a (+.f64 #s(literal 1 binary64) (neg.f64 a)))))
(/.f64 (-.f64 (*.f64 a a) #s(literal 1 binary64)) (+.f64 a #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 a a) a) #s(literal -1 binary64)) (fma.f64 a a (+.f64 #s(literal 1 binary64) (neg.f64 a))))
(-.f64 (/.f64 (*.f64 a a) (+.f64 a #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 a a) a) (fma.f64 a a (+.f64 #s(literal 1 binary64) (neg.f64 a)))) (/.f64 #s(literal -1 binary64) (fma.f64 a a (+.f64 #s(literal 1 binary64) (neg.f64 a)))))
(-.f64 a #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp a) (-.f64 a #s(literal -1 binary64)))) (exp.f64 (+.f64 b b)))) (neg.f64 (-.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b))))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp a) (-.f64 a #s(literal -1 binary64)))) #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (neg.f64 (fma.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (-.f64 (exp.f64 (+.f64 b b)) (*.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b))))))
(/.f64 (-.f64 (*.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp a) (-.f64 a #s(literal -1 binary64)))) (exp.f64 (+.f64 b b))) (-.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b)))
(/.f64 (fma.f64 (*.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp a) (-.f64 a #s(literal -1 binary64)))) #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (fma.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (-.f64 (exp.f64 (+.f64 b b)) (*.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b)))))
(-.f64 (/.f64 (*.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp a) (-.f64 a #s(literal -1 binary64)))) (-.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b))) (/.f64 (exp.f64 (+.f64 b b)) (-.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b))))
(+.f64 (/.f64 (*.f64 (*.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp a) (-.f64 a #s(literal -1 binary64)))) #s(approx (exp a) (-.f64 a #s(literal -1 binary64)))) (fma.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (-.f64 (exp.f64 (+.f64 b b)) (*.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b))))) (/.f64 (exp.f64 (*.f64 b #s(literal 3 binary64))) (fma.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (-.f64 (exp.f64 (+.f64 b b)) (*.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b))))))
(+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b))
(+.f64 (exp.f64 b) #s(approx (exp a) (-.f64 a #s(literal -1 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))))
(+.f64 (/.f64 (cosh.f64 a) #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64)))) (/.f64 (sinh.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 #s(literal -1/4 binary64) b #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 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) b)))
#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 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) b)))
#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 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) b)))
#s(approx (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (neg.f64 (*.f64 #s(literal 1/4 binary64) b)))
#s(approx (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (-.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/4 binary64) b)) (*.f64 #s(literal 1/4 binary64) b)))
#s(approx (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (-.f64 (*.f64 (*.f64 a a) (fma.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 a a)) (*.f64 #s(literal 1/4 binary64) b) (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) b)))) (*.f64 #s(literal 1/4 binary64) b)))
#s(approx (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (-.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 17/2880 binary64) (*.f64 a a)) (*.f64 #s(literal 1/4 binary64) b) (*.f64 #s(literal -1/24 binary64) (*.f64 #s(literal 1/4 binary64) b))) (*.f64 a a) (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) b))) (*.f64 a a)) (*.f64 #s(literal 1/4 binary64) b)))
#s(approx (* b (exp (- a (* (log (- (exp a) -1)) 2)))) (*.f64 #s(literal 1/4 binary64) b))
#s(approx (* b (exp (- a (* (log (- (exp a) -1)) 2)))) (fma.f64 (*.f64 (*.f64 a a) #s(literal -1/4 binary64)) (*.f64 #s(literal 1/4 binary64) b) (*.f64 #s(literal 1/4 binary64) b)))
#s(approx (* b (exp (- a (* (log (- (exp a) -1)) 2)))) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) (*.f64 #s(literal 1/4 binary64) b) (*.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 1/4 binary64) b))) (*.f64 #s(literal 1/4 binary64) b)))
#s(approx (* b (exp (- a (* (log (- (exp a) -1)) 2)))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (fma.f64 (*.f64 #s(literal 1/24 binary64) b) #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -17/2880 binary64) (*.f64 a a)) (*.f64 #s(literal 1/4 binary64) b))))) (*.f64 a a) (*.f64 #s(literal 1/4 binary64) b)))
#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 (*.f64 (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/24 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 (*.f64 (*.f64 a a) #s(literal 1/4 binary64)) #s(literal -17/2880 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 (+ (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))) (-.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 (exp.f64 (-.f64 a (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)))) b)))
#s(approx (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (neg.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)))) b)))
#s(approx (* b (exp (- a (* (log (- (exp a) -1)) 2)))) (*.f64 (exp.f64 (-.f64 a (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)))) b))
#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)) (*.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 (- a -1) (fma.f64 #s(literal 1 binary64) a #s(literal 1 binary64)))
#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))) (-.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 (exp.f64 (neg.f64 (fma.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64) (neg.f64 a)))) b)))
#s(approx (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (neg.f64 (*.f64 (exp.f64 (neg.f64 (fma.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64) (neg.f64 a)))) b)))
#s(approx (* b (exp (- a (* (log (- (exp a) -1)) 2)))) (*.f64 (exp.f64 (neg.f64 (fma.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64) (neg.f64 a)))) b))
#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 (/ (exp a) (+ (exp a) (exp b))) (+.f64 (neg.f64 (*.f64 (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 (/ (exp a) (+ (exp a) (exp b))) (fma.f64 b (-.f64 (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)))))) 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 (-.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (+.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))))) 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))))))) 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 (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (+.f64 (neg.f64 (*.f64 (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 b 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 (-.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) (+.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) (+.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 (+ (exp a) (exp b)) (+.f64 (+.f64 b (exp.f64 a)) #s(literal 1 binary64)))
#s(approx (+ (exp a) (exp b)) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (exp.f64 a)) #s(literal 1 binary64)))
#s(approx (+ (exp a) (exp b)) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b (exp.f64 a)) #s(literal 1 binary64)))
#s(approx (+ (neg (* b (exp (- a (* (log (- (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)) (exp.f64 (-.f64 a (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64))))) b))
#s(approx (exp b) (exp.f64 b))
#s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (neg.f64 (*.f64 (-.f64 (neg.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)))

eval32.0ms (0.9%)

Memory
-37.0MiB live, 61.6MiB allocated; 15ms collecting garbage
Compiler

Compiled 3 073 to 1 135 computations (63.1% saved)

prune7.0ms (0.2%)

Memory
21.8MiB live, 21.8MiB allocated; 0ms collecting garbage
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1768184
Fresh000
Picked224
Done000
Total17810188
Accuracy
100.0%
Counts
188 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
64.1%
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
63.6%
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64))))
39.4%
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) (-.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(literal -1 binary64))))
39.0%
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (+ (exp a) (exp b)) (-.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal -1 binary64))))
81.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
46.9%
#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)))))
36.6%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
35.7%
#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))))
36.6%
#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))))
36.6%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #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 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) b))))
Compiler

Compiled 312 to 268 computations (14.1% saved)

series12.0ms (0.4%)

Memory
-21.6MiB live, 24.6MiB allocated; 4ms collecting garbage
Counts
31 → 51
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)) (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(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(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)))
#s(literal 1 binary64)
#s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))
(+.f64 #s(literal 2 binary64) b)
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) (-.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(literal -1 binary64))))
#s(approx (exp a) (+.f64 #s(literal 1 binary64) a))
(+.f64 #s(literal 1 binary64) a)
#s(approx (+ (exp a) (exp b)) (-.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(literal -1 binary64)))
(-.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(literal -1 binary64))
#s(literal -1 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))))
#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)))
(fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))
(-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64))
(*.f64 (*.f64 b b) #s(literal 1/48 binary64))
(*.f64 b b)
#s(literal 1/48 binary64)
#s(literal 1/4 binary64)
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 (/ (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 (+ 1 a) #s(hole binary64 (* a (+ 1 (/ 1 a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ 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 b #s(hole binary64 b))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 b)))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (- (* (* b b) 1/48) 1/4) #s(hole binary64 -1/4))
#s(approx (- (* (* b b) 1/48) 1/4) #s(hole binary64 (- (* 1/48 (pow b 2)) 1/4)))
#s(approx (* (* b b) 1/48) #s(hole binary64 (* 1/48 (pow b 2))))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx (+ (* -1/4 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 (+ 1 (* 2 (/ 1 b))))))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(hole binary64 (* 1/48 (pow b 3))))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(hole binary64 (* (pow b 3) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(hole binary64 (* (pow b 3) (- (+ 1/48 (/ 1/2 (pow b 3))) (* 1/4 (/ 1 (pow b 2)))))))
#s(approx (- (* (* b b) 1/48) 1/4) #s(hole binary64 (* (pow b 2) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(hole binary64 (* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) 1/48)))))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(hole binary64 (* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) (+ 1/48 (/ 1/2 (pow b 3))))))))
Calls

6 calls:

TimeVariablePointExpression
5.0ms
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)) (+ (* -1/4 b) 1/2) -1/4 b 1/2 (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) 1 (- (exp b) -1) (+ 2 b) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ 1 a) (+ (exp a) (exp b)) (- (exp a) -1) -1 (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (- (* (* b b) 1/48) 1/4) (* (* b b) 1/48) (* b b) 1/48 1/4)
2.0ms
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)) (+ (* -1/4 b) 1/2) -1/4 b 1/2 (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) 1 (- (exp b) -1) (+ 2 b) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ 1 a) (+ (exp a) (exp b)) (- (exp a) -1) -1 (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (- (* (* b b) 1/48) 1/4) (* (* b b) 1/48) (* b b) 1/48 1/4)
1.0ms
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)) (+ (* -1/4 b) 1/2) -1/4 b 1/2 (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) 1 (- (exp b) -1) (+ 2 b) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ 1 a) (+ (exp a) (exp b)) (- (exp a) -1) -1 (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (- (* (* b b) 1/48) 1/4) (* (* b b) 1/48) (* b b) 1/48 1/4)
1.0ms
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)) (+ (* -1/4 b) 1/2) -1/4 b 1/2 (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) 1 (- (exp b) -1) (+ 2 b) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ 1 a) (+ (exp a) (exp b)) (- (exp a) -1) -1 (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (- (* (* b b) 1/48) 1/4) (* (* b b) 1/48) (* b b) 1/48 1/4)
1.0ms
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)) (+ (* -1/4 b) 1/2) -1/4 b 1/2 (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) 1 (- (exp b) -1) (+ 2 b) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ 1 a) (+ (exp a) (exp b)) (- (exp a) -1) -1 (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (- (* (* b b) 1/48) 1/4) (* (* b b) 1/48) (* b b) 1/48 1/4)

rewrite211.0ms (6%)

Memory
28.3MiB live, 249.7MiB allocated; 39ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02511307
02661249
115021238
083861185
Stop Event
iter-limit
node-limit
iter-limit
Counts
82 → 172
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)) (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(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(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)))
#s(literal 1 binary64)
#s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))
(+.f64 #s(literal 2 binary64) b)
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) (-.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(literal -1 binary64))))
#s(approx (exp a) (+.f64 #s(literal 1 binary64) a))
(+.f64 #s(literal 1 binary64) a)
#s(approx (+ (exp a) (exp b)) (-.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(literal -1 binary64)))
(-.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(literal -1 binary64))
#s(literal -1 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))))
#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)))
(fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))
(-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64))
(*.f64 (*.f64 b b) #s(literal 1/48 binary64))
(*.f64 b b)
#s(literal 1/48 binary64)
#s(literal 1/4 binary64)
#s(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 (/ (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 (+ 1 a) #s(hole binary64 (* a (+ 1 (/ 1 a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ 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 b #s(hole binary64 b))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 b)))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (- (* (* b b) 1/48) 1/4) #s(hole binary64 -1/4))
#s(approx (- (* (* b b) 1/48) 1/4) #s(hole binary64 (- (* 1/48 (pow b 2)) 1/4)))
#s(approx (* (* b b) 1/48) #s(hole binary64 (* 1/48 (pow b 2))))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx (+ (* -1/4 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 (+ 1 (* 2 (/ 1 b))))))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(hole binary64 (* 1/48 (pow b 3))))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(hole binary64 (* (pow b 3) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(hole binary64 (* (pow b 3) (- (+ 1/48 (/ 1/2 (pow b 3))) (* 1/4 (/ 1 (pow b 2)))))))
#s(approx (- (* (* b b) 1/48) 1/4) #s(hole binary64 (* (pow b 2) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(hole binary64 (* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) 1/48)))))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(hole binary64 (* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) (+ 1/48 (/ 1/2 (pow b 3))))))))
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))))
(+.f64 (/.f64 (cosh.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64)))) (/.f64 (sinh.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 a) #s(literal 3 binary64)) (pow.f64 (sinh.f64 a) #s(literal 3 binary64))) (fma.f64 (cosh.f64 a) (cosh.f64 a) (-.f64 (*.f64 (sinh.f64 a) (sinh.f64 a)) (*.f64 (cosh.f64 a) (sinh.f64 a)))))
(+.f64 (cosh.f64 a) (sinh.f64 a))
(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)) (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 (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/4 binary64) b) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) b) (*.f64 #s(literal 1/4 binary64) b) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) b)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.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))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 b b) b) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) b) (*.f64 #s(literal -1/4 binary64) b) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) b) (*.f64 #s(literal -1/4 binary64) b))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) b) (*.f64 #s(literal -1/4 binary64) b)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)))
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 b b) b))) (+.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)))))
(/.f64 (fma.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 b b) b) #s(literal 1/8 binary64)) (fma.f64 (*.f64 #s(literal -1/4 binary64) b) (*.f64 #s(literal -1/4 binary64) b) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.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))
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))) (/.f64 (*.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 b b) #s(literal 1/48 binary64))
(*.f64 #s(literal 1/48 binary64) (*.f64 b b))
(*.f64 b (*.f64 b #s(literal 1/48 binary64)))
(*.f64 (fabs.f64 (fabs.f64 b)) (fabs.f64 (fabs.f64 b)))
(*.f64 (neg.f64 (fabs.f64 b)) (neg.f64 (fabs.f64 b)))
(*.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 b)))
(*.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)))
(*.f64 (fabs.f64 b) (fabs.f64 b))
(*.f64 (neg.f64 b) (neg.f64 b))
(*.f64 b b)
(pow.f64 (exp.f64 (log.f64 b)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 b) #s(literal 2 binary64))
(pow.f64 (neg.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))
(+.f64 (cosh.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)))
#s(literal 1/48 binary64)
#s(literal 1/4 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 (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 (/ (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) -1) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
#s(approx (+ 1 a) (fma.f64 #s(literal 1 binary64) a #s(literal 1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (neg.f64 (*.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 (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)))))) 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 (-.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (+.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))))) 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))))))) 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 (+ (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)) #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 b b)
#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 (- (* (* b b) 1/48) 1/4) #s(literal -1/4 binary64))
#s(approx (- (* (* b b) 1/48) 1/4) (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)))
#s(approx (* (* b b) 1/48) (*.f64 (*.f64 b b) #s(literal 1/48 binary64)))
#s(approx (* b b) (*.f64 b b))
#s(approx (+ (* -1/4 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 (+ 2 b) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) #s(literal 1 binary64)) b))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/48 binary64)))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 b b))) (*.f64 (*.f64 b b) b)))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) b)) #s(literal 1/48 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 b b))) (*.f64 (*.f64 b b) b)))
#s(approx (- (* (* b b) 1/48) 1/4) (*.f64 (-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/4 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)))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 b b)) #s(literal 1/48 binary64)) (*.f64 (*.f64 b b) b))))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (neg.f64 (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 b b)) #s(literal 1/48 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) b))) (*.f64 (*.f64 b b) b))))

eval18.0ms (0.5%)

Memory
4.4MiB live, 47.7MiB allocated; 6ms collecting garbage
Compiler

Compiled 1 940 to 810 computations (58.2% saved)

prune8.0ms (0.2%)

Memory
23.9MiB live, 23.9MiB allocated; 0ms collecting garbage
Pruning

14 alts after pruning (8 fresh and 6 done)

PrunedKeptTotal
New1326138
Fresh123
Picked145
Done022
Total13414148
Accuracy
100.0%
Counts
148 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
64.1%
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
63.6%
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64))))
38.7%
(/.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) #s(literal 2 binary64))))
39.4%
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) (-.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(literal -1 binary64))))
81.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
46.9%
#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)))))
36.6%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
36.5%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ 2 b) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) #s(literal 1 binary64)) b)))))
36.6%
#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))))
13.9%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/48 binary64)))))
36.5%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/4 binary64)) b))))
4.0%
#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))))
39.0%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
36.6%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #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 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) b))))
Compiler

Compiled 432 to 383 computations (11.3% saved)

series42.0ms (1.2%)

Memory
-22.0MiB live, 86.4MiB allocated; 10ms collecting garbage
Counts
31 → 77
Calls
Call 1
Inputs
#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(literal 1/2 binary64)
b
#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(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/48 binary64)))))
#s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/48 binary64))))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/48 binary64)))
(*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/48 binary64))
(*.f64 (*.f64 b b) b)
(*.f64 b b)
#s(literal 1/48 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #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 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) b))))
#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 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) b)))
(-.f64 (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) b))
(fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))
#s(literal 1/4 binary64)
a
(*.f64 #s(literal 1/4 binary64) b)
(/.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 (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (- 1/2 (* 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 (* 1/4 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 (* a (+ 1/4 (* 1/4 (* a (* b (exp (neg (* 2 (log 2)))))))))) (* 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 (* a (+ 1/4 (* a (- (* -1/48 a) (* -1/4 (* b (exp (neg (* 2 (log 2))))))))))) (* b (exp (neg (* 2 (log 2))))))))
#s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) #s(hole binary64 (- 1/2 (* 1/4 b))))
#s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) #s(hole binary64 (- (+ 1/2 (* 1/4 a)) (* 1/4 b))))
#s(approx (+ (* 1/4 a) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/4 a) 1/2) #s(hole binary64 (+ 1/2 (* 1/4 a))))
#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) #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 (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (- (/ (exp a) (+ 1 (exp a))) (* b (exp (- a (* 2 (log (+ 1 (exp a))))))))))
#s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) #s(hole binary64 (* 1/4 a)))
#s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) #s(hole binary64 (* a (- (+ 1/4 (* 1/2 (/ 1 a))) (* 1/4 (/ b a))))))
#s(approx (+ (* 1/4 a) 1/2) #s(hole binary64 (* a (+ 1/4 (* 1/2 (/ 1 a))))))
#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 (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (- (/ (exp a) (+ 1 (exp a))) (* b (exp (neg (+ (* -1 a) (* 2 (log (+ 1 (exp a)))))))))))
#s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (- 1/2 (* 1/4 b)) a)) 1/4)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* -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 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) #s(hole binary64 (+ 1 (* 1/2 b))))
#s(approx b #s(hole binary64 b))
#s(approx (* (* (* b b) b) 1/48) #s(hole binary64 (* 1/48 (pow b 3))))
#s(approx (* (* b b) b) #s(hole binary64 (pow b 3)))
#s(approx (* b b) #s(hole binary64 (pow 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)))))))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* 1/4 a)))))
#s(approx (* 1/4 b) #s(hole binary64 (* 1/4 b)))
#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 (+ (* (+ (* 1/2 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 (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(hole binary64 (* (pow b 3) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(hole binary64 (* (pow b 3) (- (+ 1/48 (/ 1/2 (pow b 3))) (* 1/4 (/ 1 (pow b 2)))))))
#s(approx (+ (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 (- (/ (exp a) (* b (+ 1 (exp a)))) (exp (- a (* 2 (log (+ 1 (exp a))))))))))
#s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) #s(hole binary64 (* -1/4 b)))
#s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) #s(hole binary64 (* b (- (+ (* 1/4 (/ a b)) (* 1/2 (/ 1 b))) 1/4))))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(hole binary64 (* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) 1/48)))))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(hole binary64 (* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) (+ 1/48 (/ 1/2 (pow b 3))))))))
#s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (* -1 (exp (- a (* 2 (log (+ 1 (exp a))))))))))))
#s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) #s(hole binary64 (* -1 (* b (+ 1/4 (* -1 (/ (+ 1/2 (* 1/4 a)) b)))))))
Calls

6 calls:

TimeVariablePointExpression
21.0ms
a
@0
((/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) 1 (- (exp b) -1) (+ (* (+ (* 1/2 b) 1) b) 2) (+ (* 1/2 b) 1) 1/2 b 2 (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (* (* (* b b) b) 1/48) (* (* b b) b) (* b b) 1/48 (/ (exp a) (+ (exp a) (exp b))) (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (+ (* 1/4 a) 1/2) 1/4 a (* 1/4 b) (/ (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))
6.0ms
b
@0
((/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) 1 (- (exp b) -1) (+ (* (+ (* 1/2 b) 1) b) 2) (+ (* 1/2 b) 1) 1/2 b 2 (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (* (* (* b b) b) 1/48) (* (* b b) b) (* b b) 1/48 (/ (exp a) (+ (exp a) (exp b))) (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (+ (* 1/4 a) 1/2) 1/4 a (* 1/4 b) (/ (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))
5.0ms
b
@-inf
((/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) 1 (- (exp b) -1) (+ (* (+ (* 1/2 b) 1) b) 2) (+ (* 1/2 b) 1) 1/2 b 2 (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (* (* (* b b) b) 1/48) (* (* b b) b) (* b b) 1/48 (/ (exp a) (+ (exp a) (exp b))) (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (+ (* 1/4 a) 1/2) 1/4 a (* 1/4 b) (/ (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))
4.0ms
b
@inf
((/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) 1 (- (exp b) -1) (+ (* (+ (* 1/2 b) 1) b) 2) (+ (* 1/2 b) 1) 1/2 b 2 (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (* (* (* b b) b) 1/48) (* (* b b) b) (* b b) 1/48 (/ (exp a) (+ (exp a) (exp b))) (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (+ (* 1/4 a) 1/2) 1/4 a (* 1/4 b) (/ (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))
2.0ms
a
@inf
((/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) 1 (- (exp b) -1) (+ (* (+ (* 1/2 b) 1) b) 2) (+ (* 1/2 b) 1) 1/2 b 2 (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (* (* (* b b) b) 1/48) (* (* b b) b) (* b b) 1/48 (/ (exp a) (+ (exp a) (exp b))) (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (+ (* 1/4 a) 1/2) 1/4 a (* 1/4 b) (/ (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))

rewrite250.0ms (7.1%)

Memory
-77.1MiB live, 305.0MiB allocated; 110ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03762089
03901966
122731926
097241826
Stop Event
iter-limit
node-limit
iter-limit
Counts
108 → 249
Calls
Call 1
Inputs
#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(literal 1/2 binary64)
b
#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(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/48 binary64)))))
#s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/48 binary64))))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/48 binary64)))
(*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/48 binary64))
(*.f64 (*.f64 b b) b)
(*.f64 b b)
#s(literal 1/48 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #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 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) b))))
#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 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) b)))
(-.f64 (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) b))
(fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))
#s(literal 1/4 binary64)
a
(*.f64 #s(literal 1/4 binary64) b)
(/.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 (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (- 1/2 (* 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 (* 1/4 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 (* a (+ 1/4 (* 1/4 (* a (* b (exp (neg (* 2 (log 2)))))))))) (* 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 (* a (+ 1/4 (* a (- (* -1/48 a) (* -1/4 (* b (exp (neg (* 2 (log 2))))))))))) (* b (exp (neg (* 2 (log 2))))))))
#s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) #s(hole binary64 (- 1/2 (* 1/4 b))))
#s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) #s(hole binary64 (- (+ 1/2 (* 1/4 a)) (* 1/4 b))))
#s(approx (+ (* 1/4 a) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/4 a) 1/2) #s(hole binary64 (+ 1/2 (* 1/4 a))))
#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) #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 (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (- (/ (exp a) (+ 1 (exp a))) (* b (exp (- a (* 2 (log (+ 1 (exp a))))))))))
#s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) #s(hole binary64 (* 1/4 a)))
#s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) #s(hole binary64 (* a (- (+ 1/4 (* 1/2 (/ 1 a))) (* 1/4 (/ b a))))))
#s(approx (+ (* 1/4 a) 1/2) #s(hole binary64 (* a (+ 1/4 (* 1/2 (/ 1 a))))))
#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 (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (- (/ (exp a) (+ 1 (exp a))) (* b (exp (neg (+ (* -1 a) (* 2 (log (+ 1 (exp a)))))))))))
#s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (- 1/2 (* 1/4 b)) a)) 1/4)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* -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 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) #s(hole binary64 (+ 1 (* 1/2 b))))
#s(approx b #s(hole binary64 b))
#s(approx (* (* (* b b) b) 1/48) #s(hole binary64 (* 1/48 (pow b 3))))
#s(approx (* (* b b) b) #s(hole binary64 (pow b 3)))
#s(approx (* b b) #s(hole binary64 (pow 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)))))))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* 1/4 a)))))
#s(approx (* 1/4 b) #s(hole binary64 (* 1/4 b)))
#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 (+ (* (+ (* 1/2 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 (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(hole binary64 (* (pow b 3) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(hole binary64 (* (pow b 3) (- (+ 1/48 (/ 1/2 (pow b 3))) (* 1/4 (/ 1 (pow b 2)))))))
#s(approx (+ (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 (- (/ (exp a) (* b (+ 1 (exp a)))) (exp (- a (* 2 (log (+ 1 (exp a))))))))))
#s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) #s(hole binary64 (* -1/4 b)))
#s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) #s(hole binary64 (* b (- (+ (* 1/4 (/ a b)) (* 1/2 (/ 1 b))) 1/4))))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(hole binary64 (* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) 1/48)))))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(hole binary64 (* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) (+ 1/48 (/ 1/2 (pow b 3))))))))
#s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (* -1 (exp (- a (* 2 (log (+ 1 (exp a))))))))))))
#s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) #s(hole binary64 (* -1 (* b (+ 1/4 (* -1 (/ (+ 1/2 (* 1/4 a)) b)))))))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(pow.f64 #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))) #s(literal -1 binary64)))
#s(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 (-.f64 #s(literal 8 binary64) (pow.f64 (*.f64 (neg.f64 b) (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (fma.f64 (*.f64 (neg.f64 b) (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))) (*.f64 (neg.f64 b) (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 b) (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)) #s(literal 4 binary64))) (neg.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)))) (neg.f64 (-.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 3 binary64)) #s(literal 8 binary64))) (neg.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b))))))
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)) #s(literal 4 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b))) (-.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))
(fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 binary64))
(-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b))) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)) (-.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b))))
(-.f64 #s(literal 2 binary64) (*.f64 (neg.f64 b) (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))))
(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 2 binary64))))) (/.f64 #s(literal 8 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 2 binary64))))))
(+.f64 (/.f64 #s(literal 8 binary64) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b))))) (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 3 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b))))))
(+.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1/2 binary64)) b)
(*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) b) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) b) (*.f64 #s(literal -1/2 binary64) b) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) b)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) b) (*.f64 #s(literal 1/2 binary64) b)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) b) (*.f64 #s(literal 1/2 binary64) b)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 b b) b)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) b) (*.f64 #s(literal 1/2 binary64) b)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 b b) b) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) b) (*.f64 #s(literal 1/2 binary64) b) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) b) (*.f64 #s(literal 1/2 binary64) b))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) b) (*.f64 #s(literal 1/2 binary64) b)) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 b b) b))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) b) (*.f64 #s(literal 1/2 binary64) b)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 b b) b) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) b) (*.f64 #s(literal 1/2 binary64) b) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1/2 binary64) b (*.f64 b (/.f64 #s(literal 1 binary64) b)))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
(fma.f64 b #s(literal 1/2 binary64) (*.f64 b (/.f64 #s(literal 1 binary64) b)))
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) b) (*.f64 #s(literal 1/2 binary64) b)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) b) (*.f64 #s(literal 1/2 binary64) b)) (-.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) b))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) b) (*.f64 #s(literal 1/2 binary64) b)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 b b) b)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) b) (*.f64 #s(literal 1/2 binary64) b)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))))
(+.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 b b) b)) (fma.f64 (*.f64 #s(literal 1/2 binary64) b) (*.f64 #s(literal 1/2 binary64) b) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) b) (*.f64 #s(literal 1/2 binary64) b) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) b) (*.f64 b (/.f64 #s(literal 1 binary64) b)))
(+.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))
#s(literal 1/2 binary64)
b
#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(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/48 binary64)))))
#s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/48 binary64))))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/48 binary64)))
(*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/48 binary64))
(*.f64 (*.f64 b b) (*.f64 b #s(literal 1/48 binary64)))
(*.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) b))
(*.f64 (fabs.f64 (pow.f64 b #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 b #s(literal 3/2 binary64))))
(*.f64 (neg.f64 (pow.f64 b #s(literal 3/2 binary64))) (neg.f64 (pow.f64 b #s(literal 3/2 binary64))))
(*.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64)))
(*.f64 (*.f64 b b) b)
(*.f64 b (*.f64 b b))
(pow.f64 (exp.f64 (log.f64 b)) #s(literal 3 binary64))
(pow.f64 (pow.f64 b #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 b b) #s(literal 3/2 binary64))
(pow.f64 b #s(literal 3 binary64))
(+.f64 (cosh.f64 (*.f64 (log.f64 b) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 b) #s(literal 3 binary64))))
(exp.f64 (*.f64 (log.f64 b) #s(literal 3 binary64)))
(*.f64 (fabs.f64 (fabs.f64 b)) (fabs.f64 (fabs.f64 b)))
(*.f64 (neg.f64 (fabs.f64 b)) (neg.f64 (fabs.f64 b)))
(*.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 b)))
(*.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)))
(*.f64 (fabs.f64 b) (fabs.f64 b))
(*.f64 (neg.f64 b) (neg.f64 b))
(*.f64 b b)
(pow.f64 (exp.f64 (log.f64 b)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 b) #s(literal 2 binary64))
(pow.f64 (neg.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))
(+.f64 (cosh.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)))
#s(literal 1/48 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (fma.f64 #s(literal 1/4 binary64) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
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(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a))) (/.f64 (*.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 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 #s(literal 1/2 binary64) a)) (-.f64 (*.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) a))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.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 (*.f64 (*.f64 (*.f64 a a) a) #s(literal 1/8 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.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 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) #s(literal 1/8 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))))) (/.f64 #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))))))
(+.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 (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 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
#s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (fma.f64 #s(literal 1/4 binary64) a (fma.f64 #s(literal -1/4 binary64) b #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 #s(literal 1/4 binary64) a) (*.f64 #s(literal 1/4 binary64) b) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) b)))
#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 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) b)))
#s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
#s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (fma.f64 #s(literal 1/4 binary64) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (+ (* 1/4 a) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* 1/4 a) 1/2) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))
#s(approx a a)
#s(approx (exp a) #s(literal 1 binary64))
#s(approx (exp a) (+.f64 #s(literal 1 binary64) a))
#s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
#s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
#s(approx (+ (* 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)))
#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 (/ (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))) (-.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 (exp.f64 (-.f64 a (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)))) b)))
#s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (*.f64 #s(literal 1/4 binary64) a))
#s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a)) a))
#s(approx (+ (* 1/4 a) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/4 binary64)) a))
#s(approx (exp a) (exp.f64 a))
#s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) a))
#s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 a a))) (*.f64 a a)))
#s(approx (+ (* 1/2 a) 1) (*.f64 #s(literal 1/2 binary64) a))
#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 (exp.f64 b) (exp.f64 a)))
#s(approx (- (exp a) -1) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
#s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (-.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 (exp.f64 (neg.f64 (fma.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64) (neg.f64 a)))) b)))
#s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (*.f64 (neg.f64 a) (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a)) #s(literal 1/4 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (neg.f64 (*.f64 (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 (/ (exp a) (+ (exp a) (exp b))) (fma.f64 b (-.f64 (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)))))) 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 (-.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (+.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))))) 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))))))) 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)) (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) (+.f64 #s(literal 2 binary64) b))
#s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
#s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
#s(approx (+ (* 1/2 b) 1) (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)))
#s(approx b b)
#s(approx (* (* (* b b) b) 1/48) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/48 binary64)))
#s(approx (* (* b b) b) (*.f64 (*.f64 b b) b))
#s(approx (* b b) (*.f64 b b))
#s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (+.f64 (neg.f64 (*.f64 (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 (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (+.f64 (fma.f64 #s(literal -1/4 binary64) b (*.f64 #s(literal 1/4 binary64) a)) #s(literal 1/2 binary64)))
#s(approx (* 1/4 b) (*.f64 #s(literal 1/4 binary64) b))
#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 (+ (* (+ (* 1/2 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 (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 b b))) (*.f64 (*.f64 b b) b)))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) b)) #s(literal 1/48 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 b b))) (*.f64 (*.f64 b b) b)))
#s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (neg.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)))) b)))
#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)) (exp.f64 (-.f64 a (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64))))) b))
#s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (*.f64 #s(literal -1/4 binary64) b))
#s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)) b) #s(literal 1/4 binary64)) b))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 b b)) #s(literal 1/48 binary64)) (*.f64 (*.f64 b b) b))))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (neg.f64 (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 b b)) #s(literal 1/48 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) b))) (*.f64 (*.f64 b b) b))))
#s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (neg.f64 (*.f64 (-.f64 (neg.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 (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)) b)) #s(literal 1/4 binary64)) b)))

eval26.0ms (0.7%)

Memory
21.8MiB live, 67.9MiB allocated; 3ms collecting garbage
Compiler

Compiled 2 714 to 1 254 computations (53.8% saved)

prune15.0ms (0.4%)

Memory
-10.8MiB live, 36.2MiB allocated; 2ms collecting garbage
Pruning

20 alts after pruning (10 fresh and 10 done)

PrunedKeptTotal
New2078215
Fresh123
Picked145
Done066
Total20920229
Accuracy
100.0%
Counts
229 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
64.1%
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
63.6%
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64))))
38.7%
(/.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) #s(literal 2 binary64))))
39.4%
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) (-.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(literal -1 binary64))))
38.7%
(/.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))))
12.1%
(/.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))))
81.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
46.9%
#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)))))
46.3%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 #s(approx (+ (* 1/2 b) 1) (*.f64 #s(literal 1/2 binary64) b)) b #s(literal 2 binary64)))))
36.6%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
13.4%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (fma.f64 (*.f64 b b) #s(literal 1/2 binary64) b)))))
13.8%
#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))))))
36.6%
#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))))
13.9%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/48 binary64)))))
13.9%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (*.f64 b b) (*.f64 b #s(literal 1/48 binary64))))))
36.5%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/4 binary64)) b))))
4.0%
#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))))
39.0%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
36.6%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (fma.f64 a #s(literal 1/4 binary64) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
3.6%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (*.f64 #s(literal 1/4 binary64) a))))
Compiler

Compiled 645 to 537 computations (16.7% saved)

regimes35.0ms (1%)

Memory
-11.1MiB live, 86.6MiB allocated; 5ms collecting garbage
Counts
27 → 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 (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (*.f64 #s(literal 1/4 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 (/ (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))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (+ (exp a) (exp b)) (-.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal -1 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))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (*.f64 b b) (*.f64 b #s(literal 1/48 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/48 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #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 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))) #s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (fma.f64 a #s(literal 1/4 binary64) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (-.f64 (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)) (*.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 (+ (* (+ (* 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 #s(approx (+ (* 1/2 b) 1) (*.f64 #s(literal 1/2 binary64) b)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) (-.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(literal -1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ 2 b) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) #s(literal 1 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) (-.f64 a #s(literal -1 binary64))) (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b)))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (neg.f64 (*.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)))))
Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Calls

5 calls:

8.0ms
a
7.0ms
b
5.0ms
(exp.f64 b)
5.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
5.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
99.2%1(exp.f64 b)
99.2%1(exp.f64 a)
99.2%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
99.2%1a
99.2%1b
Compiler

Compiled 13 to 16 computations (-23.1% saved)

regimes31.0ms (0.9%)

Memory
37.8MiB live, 84.6MiB allocated; 2ms collecting garbage
Counts
25 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (*.f64 #s(literal 1/4 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 (/ (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))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (+ (exp a) (exp b)) (-.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal -1 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))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (*.f64 b b) (*.f64 b #s(literal 1/48 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/48 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #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 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))) #s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (fma.f64 a #s(literal 1/4 binary64) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (-.f64 (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)) (*.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 (+ (* (+ (* 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 #s(approx (+ (* 1/2 b) 1) (*.f64 #s(literal 1/2 binary64) b)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) (-.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(literal -1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ 2 b) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) #s(literal 1 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) (-.f64 a #s(literal -1 binary64))) (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b)))
(/.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))))
(/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b)))
Calls

5 calls:

7.0ms
b
7.0ms
a
6.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
5.0ms
(exp.f64 b)
5.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
99.0%3(exp.f64 b)
99.6%2(exp.f64 a)
82.0%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
99.6%2a
99.4%3b
Compiler

Compiled 13 to 16 computations (-23.1% saved)

regimes14.0ms (0.4%)

Memory
-17.2MiB live, 29.4MiB allocated; 1ms collecting garbage
Counts
24 → 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 (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (*.f64 #s(literal 1/4 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 (/ (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))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (+ (exp a) (exp b)) (-.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal -1 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))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (*.f64 b b) (*.f64 b #s(literal 1/48 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/48 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #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 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))) #s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (fma.f64 a #s(literal 1/4 binary64) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (-.f64 (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)) (*.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 (+ (* (+ (* 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 #s(approx (+ (* 1/2 b) 1) (*.f64 #s(literal 1/2 binary64) b)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) (-.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(literal -1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ 2 b) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) #s(literal 1 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) (-.f64 a #s(literal -1 binary64))) (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b)))
Outputs
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64))))
(/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b)))
Calls

2 calls:

8.0ms
a
5.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
99.4%2(exp.f64 a)
99.4%2a
Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes12.0ms (0.3%)

Memory
24.4MiB live, 24.4MiB allocated; 0ms collecting garbage
Counts
23 → 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 (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (*.f64 #s(literal 1/4 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 (/ (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))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (+ (exp a) (exp b)) (-.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal -1 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))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (*.f64 b b) (*.f64 b #s(literal 1/48 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/48 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #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 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))) #s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (fma.f64 a #s(literal 1/4 binary64) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (-.f64 (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)) (*.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 (+ (* (+ (* 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 #s(approx (+ (* 1/2 b) 1) (*.f64 #s(literal 1/2 binary64) b)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) (-.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(literal -1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ 2 b) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) #s(literal 1 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))))
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:

6.0ms
a
5.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
99.2%2(exp.f64 a)
99.2%2a
Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes40.0ms (1.2%)

Memory
3.5MiB live, 50.6MiB allocated; 1ms collecting garbage
Counts
22 → 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 (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (*.f64 #s(literal 1/4 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 (/ (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))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (+ (exp a) (exp b)) (-.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal -1 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))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (*.f64 b b) (*.f64 b #s(literal 1/48 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/48 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #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 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))) #s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (fma.f64 a #s(literal 1/4 binary64) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (-.f64 (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)) (*.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 (+ (* (+ (* 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 #s(approx (+ (* 1/2 b) 1) (*.f64 #s(literal 1/2 binary64) b)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) (-.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(literal -1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ 2 b) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) #s(literal 1 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))))
(/.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:

20.0ms
a
6.0ms
b
5.0ms
(exp.f64 b)
4.0ms
(exp.f64 a)
4.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Results
AccuracySegmentsBranch
63.6%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
67.0%2(exp.f64 b)
73.6%3b
68.0%2(exp.f64 a)
68.0%2a
Compiler

Compiled 13 to 16 computations (-23.1% saved)

regimes33.0ms (0.9%)

Memory
-0.1MiB live, 49.4MiB allocated; 3ms collecting garbage
Counts
21 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (*.f64 #s(literal 1/4 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 (/ (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))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (+ (exp a) (exp b)) (-.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal -1 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))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (*.f64 b b) (*.f64 b #s(literal 1/48 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/48 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #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 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))) #s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (fma.f64 a #s(literal 1/4 binary64) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (-.f64 (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)) (*.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 (+ (* (+ (* 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 #s(approx (+ (* 1/2 b) 1) (*.f64 #s(literal 1/2 binary64) b)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) (-.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(literal -1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ 2 b) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) #s(literal 1 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)) #s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (*.f64 b b) (*.f64 b #s(literal 1/48 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
Calls

5 calls:

13.0ms
b
6.0ms
a
4.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms
(exp.f64 b)
4.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
50.6%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
50.1%2(exp.f64 b)
56.0%2a
54.9%2(exp.f64 a)
55.5%3b
Compiler

Compiled 13 to 16 computations (-23.1% saved)

regimes15.0ms (0.4%)

Memory
-34.3MiB live, 12.6MiB allocated; 1ms 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 (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (*.f64 #s(literal 1/4 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 (/ (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))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (+ (exp a) (exp b)) (-.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal -1 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))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (*.f64 b b) (*.f64 b #s(literal 1/48 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/48 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #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 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))) #s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (fma.f64 a #s(literal 1/4 binary64) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (-.f64 (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)) (*.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 (+ (* (+ (* 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 #s(approx (+ (* 1/2 b) 1) (*.f64 #s(literal 1/2 binary64) b)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) (-.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(literal -1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ 2 b) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) #s(literal 1 binary64)) b)))))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (*.f64 b b) (*.f64 b #s(literal 1/48 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 #s(approx (+ (* 1/2 b) 1) (*.f64 #s(literal 1/2 binary64) b)) b #s(literal 2 binary64)))))
Calls

1 calls:

14.0ms
a
Results
AccuracySegmentsBranch
55.5%2a
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes13.0ms (0.4%)

Memory
28.1MiB live, 28.1MiB allocated; 0ms collecting garbage
Counts
15 → 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 (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (*.f64 #s(literal 1/4 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 (/ (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))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (+ (exp a) (exp b)) (-.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal -1 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))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (*.f64 b b) (*.f64 b #s(literal 1/48 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/48 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #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 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))) #s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (fma.f64 a #s(literal 1/4 binary64) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (-.f64 (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)) (*.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 (+ (* (+ (* 1/2 b) 1) b) 2) (fma.f64 (*.f64 b b) #s(literal 1/2 binary64) b)))))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #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

3 calls:

4.0ms
b
4.0ms
a
3.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
55.2%3b
50.4%2(exp.f64 a)
52.2%3a
Compiler

Compiled 4 to 7 computations (-75% saved)

regimes9.0ms (0.3%)

Memory
-33.0MiB live, 14.0MiB allocated; 2ms collecting garbage
Counts
11 → 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 (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (*.f64 #s(literal 1/4 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 (/ (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))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (+ (exp a) (exp b)) (-.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal -1 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))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (*.f64 b b) (*.f64 b #s(literal 1/48 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/48 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #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 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)) #s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (*.f64 b b) (*.f64 b #s(literal 1/48 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
Calls

2 calls:

5.0ms
a
3.0ms
b
Results
AccuracySegmentsBranch
52.2%3a
49.3%2b
Compiler

Compiled 2 to 4 computations (-100% saved)

regimes6.0ms (0.2%)

Memory
14.3MiB live, 14.3MiB allocated; 0ms collecting garbage
Counts
10 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (*.f64 #s(literal 1/4 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 (/ (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))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (+ (exp a) (exp b)) (-.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal -1 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))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (*.f64 b b) (*.f64 b #s(literal 1/48 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/48 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/4 binary64)) b))))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (*.f64 b b) (*.f64 b #s(literal 1/48 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
Calls

2 calls:

3.0ms
a
2.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Results
AccuracySegmentsBranch
50.3%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
50.5%2a
Compiler

Compiled 8 to 8 computations (0% saved)

regimes11.0ms (0.3%)

Memory
24.1MiB live, 24.1MiB allocated; 0ms collecting garbage
Accuracy

Total -23.5b remaining (-60.1%)

Threshold costs -23.5b (-60.1%)

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 (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (*.f64 #s(literal 1/4 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 (/ (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))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (+ (exp a) (exp b)) (-.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal -1 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)) #s(literal 1/2 binary64)))
Calls

5 calls:

2.0ms
b
2.0ms
a
2.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
2.0ms
(exp.f64 a)
2.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
39.0%1b
39.0%1(exp.f64 b)
39.0%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
39.0%1(exp.f64 a)
39.0%1a
Compiler

Compiled 13 to 16 computations (-23.1% saved)

bsearch22.0ms (0.6%)

Memory
-27.4MiB live, 19.6MiB allocated; 1ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
21.0ms
-0.007706662124599262
-9.316953761738307e-7
Samples
16.0ms128×0valid
Compiler

Compiled 195 to 179 computations (8.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-exp: 2.0ms (67.4% of total)
ival-div!: 1.0ms (33.7% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)

bsearch13.0ms (0.4%)

Memory
28.8MiB live, 28.8MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
11.0ms
-8063.0630331541015
-0.007706662124599262
Samples
6.0ms144×0valid
Compiler

Compiled 236 to 218 computations (7.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-exp: 2.0ms (59.3% of total)
ival-div!: 1.0ms (29.6% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
3.0MiB live, 3.0MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
-0.007706662124599262
-9.316953761738307e-7
Compiler

Compiled 219 to 219 computations (0% saved)

bsearch31.0ms (0.9%)

Memory
-40.4MiB live, 54.9MiB allocated; 18ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
7.916525754790627e+149
8.177581430526653e+152
16.0ms
194959988532678880.0
1191370599663815200.0
Samples
12.0ms224×0valid
Compiler

Compiled 625 to 603 computations (3.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-exp: 3.0ms (65.7% of total)
ival-add!: 1.0ms (21.9% of total)
ival-div!: 1.0ms (21.9% of total)
adjust: 0.0ms (0% of total)

bsearch21.0ms (0.6%)

Memory
3.0MiB live, 48.0MiB allocated; 6ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
20.0ms
-8.1253225770415e+58
-6.249884930645164e+53
Samples
6.0ms144×0valid
2.0ms46×0exit
Compiler

Compiled 416 to 398 computations (4.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-exp: 2.0ms (51.6% of total)
ival-div!: 1.0ms (25.8% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
5.0MiB live, 5.0MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
-8.1253225770415e+58
-6.249884930645164e+53
Compiler

Compiled 461 to 443 computations (3.9% saved)

bsearch2.0ms (0.1%)

Memory
6.7MiB live, 6.7MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
7.916525754790627e+149
8.177581430526653e+152
1.0ms
194959988532678880.0
1191370599663815200.0
Compiler

Compiled 637 to 609 computations (4.4% saved)

bsearch18.0ms (0.5%)

Memory
3.7MiB live, 49.9MiB allocated; 4ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
-2.3757094126459398e-8
-6.065694274518707e-21
1.0ms
-8.1253225770415e+58
-6.249884930645164e+53
Samples
10.0ms160×0valid
Compiler

Compiled 879 to 841 computations (4.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-exp: 3.0ms (46.5% of total)
ival-add!: 3.0ms (46.5% of total)
ival-div!: 1.0ms (15.5% of total)
adjust: 0.0ms (0% of total)

bsearch24.0ms (0.7%)

Memory
-21.1MiB live, 31.7MiB allocated; 4ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
23.0ms
-6581476316667.849
-150616897.04681545
Samples
6.0ms128×0valid
1.0ms14×0exit
Compiler

Compiled 347 to 331 computations (4.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-exp: 2.0ms (59.8% of total)
ival-div!: 1.0ms (29.9% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)

derivations509.0ms (14.5%)

Memory
35.0MiB live, 728.1MiB allocated; 77ms collecting garbage
Stop Event
fuel
Compiler

Compiled 137 to 108 computations (21.2% saved)

preprocess128.0ms (3.6%)

Memory
18.9MiB live, 306.5MiB allocated; 77ms collecting garbage
Compiler

Compiled 152 to 121 computations (20.4% saved)

end0.0ms (0%)

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

Profiling

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