Quotient of sum of exps

Time bar (total: 2.4s)

start0.0ms (0%)

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

analyze5.0ms (0.2%)

Memory
4.9MiB live, 4.9MiB allocated; 0ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
50%50%50%0.1%0%0%0%2
75%74.9%25%0.1%0%0%0%3
87.5%87.4%12.5%0.1%0%0%0%4
93.8%93.7%6.2%0.1%0%0%0%5
93.8%93.7%6.2%0.1%0%0%0%6
95.2%93.7%4.7%0.1%0%1.6%0%7
96%93.7%3.9%0.1%0%2.3%0%8
97.2%93.7%2.7%0.1%0%3.5%0%9
97.8%93.7%2.1%0.1%0%4.1%0%10
98.5%93.7%1.5%0.1%0%4.8%0%11
98.8%93.7%1.1%0.1%0%5.1%0%12
Compiler

Compiled 10 to 8 computations (20% saved)

sample879.0ms (36.3%)

Memory
-67.2MiB live, 836.4MiB allocated; 181ms collecting garbage
Samples
394.0ms8 256×0valid
123.0ms2 933×0exit
Precisions
Click to see histograms. Total time spent on operations: 262.0ms
ival-exp: 177.0ms (67.6% of total)
ival-div!: 49.0ms (18.7% of total)
ival-add!: 34.0ms (13% of total)
adjust: 2.0ms (0.8% of total)
Bogosity

preprocess29.0ms (1.2%)

Memory
37.9MiB live, 37.9MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

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

Compiled 16 to 12 computations (25% saved)

series11.0ms (0.5%)

Memory
-35.0MiB live, 11.7MiB allocated; 4ms 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
6.0ms
a
@inf
((/ (exp a) (+ (exp a) (exp b))) (exp a) a (+ (exp a) (exp b)) (exp b) b)
1.0ms
a
@-inf
((/ (exp a) (+ (exp a) (exp b))) (exp a) a (+ (exp a) (exp b)) (exp b) b)
1.0ms
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
b
@-inf
((/ (exp a) (+ (exp a) (exp b))) (exp a) a (+ (exp a) (exp b)) (exp b) b)

rewrite172.0ms (7.1%)

Memory
15.6MiB live, 194.7MiB allocated; 41ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0153726
0157689
11025680
08029635
Stop Event
1×iter-limit
1×node-limit
1×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)))))
(exp.f64 a)
(+.f64 (cosh.f64 a) (sinh.f64 a))
a
(/.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a))) (-.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (+.f64 (exp.f64 (*.f64 b #s(literal 3 binary64))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (*.f64 (exp.f64 b) (exp.f64 a)))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))))))
(/.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))))
(-.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b))))
(+.f64 (/.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))))) (/.f64 (exp.f64 (*.f64 b #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))))))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 a) (exp.f64 b))
(/.f64 (-.f64 (*.f64 (cosh.f64 b) (cosh.f64 b)) (*.f64 (sinh.f64 b) (sinh.f64 b))) (-.f64 (cosh.f64 b) (sinh.f64 b)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 b) #s(literal 3 binary64)) (pow.f64 (sinh.f64 b) #s(literal 3 binary64))) (fma.f64 (cosh.f64 b) (cosh.f64 b) (-.f64 (*.f64 (sinh.f64 b) (sinh.f64 b)) (*.f64 (cosh.f64 b) (sinh.f64 b)))))
(exp.f64 b)
(+.f64 (cosh.f64 b) (sinh.f64 b))
b
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (fma.f64 a (-.f64 (+.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))) (*.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64)) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (-.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 3/2 binary64) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -3 binary64)) (/.f64 #s(literal 1/6 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) (-.f64 (exp.f64 b) #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -4 binary64))))) a (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -3 binary64))) (*.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64)) #s(literal 3/2 binary64)))) a (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64)))) a (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
#s(approx (exp a) #s(literal 1 binary64))
#s(approx (exp a) (-.f64 a #s(literal -1 binary64)))
#s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
#s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
#s(approx a a)
#s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 b) #s(literal -1 binary64)))
#s(approx (+ (exp a) (exp b)) (-.f64 (+.f64 (exp.f64 b) a) #s(literal -1 binary64)))
#s(approx (+ (exp a) (exp b)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (exp.f64 b)) #s(literal -1 binary64)))
#s(approx (+ (exp a) (exp b)) (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a (exp.f64 b)) #s(literal -1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))))
#s(approx (exp a) (exp.f64 a))
#s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 b) (exp.f64 a)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (+.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))) (/.f64 (neg.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))

eval5.0ms (0.2%)

Memory
8.2MiB live, 8.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 201 to 260 computations (78.4% saved)

prune4.0ms (0.2%)

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

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New42648
Fresh000
Picked101
Done000
Total43649
Accuracy
100.0%
Counts
49 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶35.5%
(/.f64 (exp.f64 a) (/.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a))) (-.f64 (exp.f64 b) (exp.f64 a))))
▶68.1%
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
▶80.9%
(/.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)))
71.3%
(+.f64 (/.f64 (cosh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) (/.f64 (sinh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))))
▶80.7%
#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)))))
▶80.6%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
Compiler

Compiled 218 to 138 computations (36.7% saved)

series33.0ms (1.4%)

Memory
-11.3MiB live, 35.0MiB allocated; 3ms collecting garbage
Counts
29 → 111
Calls
Call 1
Inputs
(/.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))
a
#s(literal -1 binary64)
(+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.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))))
(/.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))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(exp.f64 a)
#s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64)))
(-.f64 (exp.f64 a) #s(literal -1 binary64))
(/.f64 (exp.f64 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 b)) (exp.f64 (+.f64 a a))) (-.f64 (exp.f64 b) (exp.f64 a)))
(-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a)))
(exp.f64 (+.f64 b b))
(+.f64 b b)
(exp.f64 (+.f64 a a))
(+.f64 a a)
(-.f64 (exp.f64 b) (exp.f64 a))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64)))
(pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))
#s(literal -2 binary64)
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 (+ b b)) (exp (+ a a))) (- (exp b) (exp a)))) #s(hole binary64 (/ (- (exp b) 1) (- (exp (* 2 b)) 1))))
#s(approx (/ (exp a) (/ (- (exp (+ b b)) (exp (+ a a))) (- (exp b) (exp a)))) #s(hole binary64 (- (+ (* a (- (/ (exp b) (- (exp (* 2 b)) 1)) (+ (* -2 (/ (- (exp b) 1) (pow (- (exp (* 2 b)) 1) 2))) (* 2 (/ 1 (- (exp (* 2 b)) 1)))))) (/ (exp b) (- (exp (* 2 b)) 1))) (/ 1 (- (exp (* 2 b)) 1)))))
#s(approx (/ (exp a) (/ (- (exp (+ b b)) (exp (+ a a))) (- (exp b) (exp a)))) #s(hole binary64 (- (+ (* a (- (+ (* a (- (* 1/2 (/ (- (exp b) 1) (- (exp (* 2 b)) 1))) (+ (* -2 (/ (- (exp b) 1) (pow (- (exp (* 2 b)) 1) 2))) (+ (* -2 (/ (- (/ (exp b) (- (exp (* 2 b)) 1)) (+ (* -2 (/ (- (exp b) 1) (pow (- (exp (* 2 b)) 1) 2))) (* 2 (/ 1 (- (exp (* 2 b)) 1))))) (- (exp (* 2 b)) 1))) (* 3/2 (/ 1 (- (exp (* 2 b)) 1))))))) (/ (exp b) (- (exp (* 2 b)) 1))) (+ (* -2 (/ (- (exp b) 1) (pow (- (exp (* 2 b)) 1) 2))) (* 2 (/ 1 (- (exp (* 2 b)) 1)))))) (/ (exp b) (- (exp (* 2 b)) 1))) (/ 1 (- (exp (* 2 b)) 1)))))
#s(approx (/ (exp a) (/ (- (exp (+ b b)) (exp (+ a a))) (- (exp b) (exp a)))) #s(hole binary64 (- (+ (* a (- (+ (* a (- (+ (* 1/2 (/ (- (exp b) 1) (- (exp (* 2 b)) 1))) (* a (- (* 1/6 (/ (- (exp b) 1) (- (exp (* 2 b)) 1))) (+ (* -2 (/ (- (* 1/2 (/ (- (exp b) 1) (- (exp (* 2 b)) 1))) (+ (* -2 (/ (- (exp b) 1) (pow (- (exp (* 2 b)) 1) 2))) (+ (* -2 (/ (- (/ (exp b) (- (exp (* 2 b)) 1)) (+ (* -2 (/ (- (exp b) 1) (pow (- (exp (* 2 b)) 1) 2))) (* 2 (/ 1 (- (exp (* 2 b)) 1))))) (- (exp (* 2 b)) 1))) (* 3/2 (/ 1 (- (exp (* 2 b)) 1)))))) (- (exp (* 2 b)) 1))) (+ (* -2 (/ (- (/ (exp b) (- (exp (* 2 b)) 1)) (+ (* -2 (/ (- (exp b) 1) (pow (- (exp (* 2 b)) 1) 2))) (* 2 (/ 1 (- (exp (* 2 b)) 1))))) (- (exp (* 2 b)) 1))) (+ (* -4/3 (/ (- (exp b) 1) (pow (- (exp (* 2 b)) 1) 2))) (* 7/6 (/ 1 (- (exp (* 2 b)) 1))))))))) (+ (* -2 (/ (- (exp b) 1) (pow (- (exp (* 2 b)) 1) 2))) (+ (* -2 (/ (- (/ (exp b) (- (exp (* 2 b)) 1)) (+ (* -2 (/ (- (exp b) 1) (pow (- (exp (* 2 b)) 1) 2))) (* 2 (/ 1 (- (exp (* 2 b)) 1))))) (- (exp (* 2 b)) 1))) (* 3/2 (/ 1 (- (exp (* 2 b)) 1))))))) (/ (exp b) (- (exp (* 2 b)) 1))) (+ (* -2 (/ (- (exp b) 1) (pow (- (exp (* 2 b)) 1) 2))) (* 2 (/ 1 (- (exp (* 2 b)) 1)))))) (/ (exp b) (- (exp (* 2 b)) 1))) (/ 1 (- (exp (* 2 b)) 1)))))
#s(approx (/ (- (exp (+ b b)) (exp (+ a a))) (- (exp b) (exp a))) #s(hole binary64 (/ (- (exp (* 2 b)) 1) (- (exp b) 1))))
#s(approx (/ (- (exp (+ b b)) (exp (+ a a))) (- (exp b) (exp a))) #s(hole binary64 (- (+ (* -1 (* a (+ (* -1 (/ (- (exp (* 2 b)) 1) (pow (- (exp b) 1) 2))) (* 2 (/ 1 (- (exp b) 1)))))) (/ (exp (* 2 b)) (- (exp b) 1))) (/ 1 (- (exp b) 1)))))
#s(approx (/ (- (exp (+ b b)) (exp (+ a a))) (- (exp b) (exp a))) #s(hole binary64 (- (+ (* a (- (* -1 (* a (+ (* -1 (/ (- (exp (* 2 b)) 1) (pow (- (exp b) 1) 3))) (+ (* -1/2 (/ (- (exp (* 2 b)) 1) (pow (- (exp b) 1) 2))) (+ (* 2 (/ 1 (- (exp b) 1))) (* 2 (/ 1 (pow (- (exp b) 1) 2)))))))) (+ (* -1 (/ (- (exp (* 2 b)) 1) (pow (- (exp b) 1) 2))) (* 2 (/ 1 (- (exp b) 1)))))) (/ (exp (* 2 b)) (- (exp b) 1))) (/ 1 (- (exp b) 1)))))
#s(approx (/ (- (exp (+ b b)) (exp (+ a a))) (- (exp b) (exp a))) #s(hole binary64 (- (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (- (exp (* 2 b)) 1) (pow (- (exp b) 1) 4))) (+ (* -1/2 (/ (- (exp (* 2 b)) 1) (pow (- (exp b) 1) 3))) (+ (* -1/6 (/ (- (exp (* 2 b)) 1) (pow (- (exp b) 1) 2))) (+ (* 1/2 (/ (+ (* -1 (/ (- (exp (* 2 b)) 1) (pow (- (exp b) 1) 2))) (* 2 (/ 1 (- (exp b) 1)))) (- (exp b) 1))) (+ (* 4/3 (/ 1 (- (exp b) 1))) (+ (* 2 (/ 1 (pow (- (exp b) 1) 2))) (* 2 (/ 1 (pow (- (exp b) 1) 3))))))))))) (+ (* -1 (/ (- (exp (* 2 b)) 1) (pow (- (exp b) 1) 3))) (+ (* -1/2 (/ (- (exp (* 2 b)) 1) (pow (- (exp b) 1) 2))) (+ (* 2 (/ 1 (- (exp b) 1))) (* 2 (/ 1 (pow (- (exp b) 1) 2)))))))) (+ (* -1 (/ (- (exp (* 2 b)) 1) (pow (- (exp b) 1) 2))) (* 2 (/ 1 (- (exp b) 1)))))) (/ (exp (* 2 b)) (- (exp b) 1))) (/ 1 (- (exp b) 1)))))
#s(approx (- (exp (+ b b)) (exp (+ a a))) #s(hole binary64 (- (exp (* 2 b)) 1)))
#s(approx (- (exp (+ b b)) (exp (+ a a))) #s(hole binary64 (- (+ (exp (* 2 b)) (* -2 a)) 1)))
#s(approx (- (exp (+ b b)) (exp (+ a a))) #s(hole binary64 (- (+ (exp (* 2 b)) (* a (- (* -2 a) 2))) 1)))
#s(approx (- (exp (+ b b)) (exp (+ a a))) #s(hole binary64 (- (+ (exp (* 2 b)) (* a (- (* a (- (* -4/3 a) 2)) 2))) 1)))
#s(approx (exp (+ a a)) #s(hole binary64 (+ 1 (* 2 a))))
#s(approx (exp (+ a a)) #s(hole binary64 (+ 1 (* a (+ 2 (* 2 a))))))
#s(approx (exp (+ a a)) #s(hole binary64 (+ 1 (* a (+ 2 (* a (+ 2 (* 4/3 a))))))))
#s(approx (+ a a) #s(hole binary64 (* 2 a)))
#s(approx (- (exp b) (exp a)) #s(hole binary64 (- (exp b) 1)))
#s(approx (- (exp b) (exp a)) #s(hole binary64 (- (+ (exp b) (* -1 a)) 1)))
#s(approx (- (exp b) (exp a)) #s(hole binary64 (- (+ (exp b) (* a (- (* -1/2 a) 1))) 1)))
#s(approx (- (exp b) (exp a)) #s(hole binary64 (- (+ (exp b) (* a (- (* a (- (* -1/6 a) 1/2)) 1))) 1)))
#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 (- a -1) #s(hole binary64 (* a (+ 1 (/ 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 (/ (exp a) (/ (- (exp (+ b b)) (exp (+ a a))) (- (exp b) (exp a)))) #s(hole binary64 (/ (* (exp a) (- (exp b) (exp a))) (- (exp (* 2 b)) (exp (* 2 a))))))
#s(approx (/ (- (exp (+ b b)) (exp (+ a a))) (- (exp b) (exp a))) #s(hole binary64 (/ (- (exp (* 2 b)) (exp (* 2 a))) (- (exp b) (exp a)))))
#s(approx (- (exp (+ b b)) (exp (+ a a))) #s(hole binary64 (- (exp (* 2 b)) (exp (* 2 a)))))
#s(approx (exp (+ a a)) #s(hole binary64 (exp (* 2 a))))
#s(approx (- (exp b) (exp a)) #s(hole binary64 (- (exp b) (exp a))))
#s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) #s(hole binary64 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))))
#s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) #s(hole binary64 (* a (- (+ (/ 1 (* a (+ 1 (exp b)))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2))))))
#s(approx (/ (exp a) (/ (- (exp (+ b b)) (exp (+ a a))) (- (exp b) (exp a)))) #s(hole binary64 (/ (* (exp a) (- (exp b) (exp a))) (- (exp (* 2 b)) (exp (neg (* -2 a)))))))
#s(approx (/ (- (exp (+ b b)) (exp (+ a a))) (- (exp b) (exp a))) #s(hole binary64 (/ (- (exp (* 2 b)) (exp (neg (* -2 a)))) (- (exp b) (exp a)))))
#s(approx (- (exp (+ b b)) (exp (+ a a))) #s(hole binary64 (- (exp (* 2 b)) (exp (neg (* -2 a))))))
#s(approx (exp (+ a a)) #s(hole binary64 (exp (neg (* -2 a)))))
#s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) #s(hole binary64 (* -1 (* a (- (* -1 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (* a (+ 1 (exp b)))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ 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 (/ 1 (- (exp b) -1)) #s(hole binary64 1/2))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 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 a) (/ (- (exp (+ b b)) (exp (+ a a))) (- (exp b) (exp a)))) #s(hole binary64 (/ (* (exp a) (- 1 (exp a))) (- 1 (exp (* 2 a))))))
#s(approx (/ (exp a) (/ (- (exp (+ b b)) (exp (+ a a))) (- (exp b) (exp a)))) #s(hole binary64 (+ (* b (- (/ (exp a) (- 1 (exp (* 2 a)))) (* 2 (/ (* (exp a) (- 1 (exp a))) (pow (- 1 (exp (* 2 a))) 2))))) (/ (* (exp a) (- 1 (exp a))) (- 1 (exp (* 2 a)))))))
#s(approx (/ (exp a) (/ (- (exp (+ b b)) (exp (+ a a))) (- (exp b) (exp a)))) #s(hole binary64 (+ (* b (- (+ (* b (- (* 1/2 (/ (exp a) (- 1 (exp (* 2 a))))) (+ (* 2 (/ (* (exp a) (- 1 (exp a))) (pow (- 1 (exp (* 2 a))) 2))) (* 2 (/ (- (/ (exp a) (- 1 (exp (* 2 a)))) (* 2 (/ (* (exp a) (- 1 (exp a))) (pow (- 1 (exp (* 2 a))) 2)))) (- 1 (exp (* 2 a)))))))) (/ (exp a) (- 1 (exp (* 2 a))))) (* 2 (/ (* (exp a) (- 1 (exp a))) (pow (- 1 (exp (* 2 a))) 2))))) (/ (* (exp a) (- 1 (exp a))) (- 1 (exp (* 2 a)))))))
#s(approx (/ (exp a) (/ (- (exp (+ b b)) (exp (+ a a))) (- (exp b) (exp a)))) #s(hole binary64 (+ (* b (- (+ (* b (- (+ (* 1/2 (/ (exp a) (- 1 (exp (* 2 a))))) (* b (- (* 1/6 (/ (exp a) (- 1 (exp (* 2 a))))) (+ (* 4/3 (/ (* (exp a) (- 1 (exp a))) (pow (- 1 (exp (* 2 a))) 2))) (+ (* 2 (/ (- (* 1/2 (/ (exp a) (- 1 (exp (* 2 a))))) (+ (* 2 (/ (* (exp a) (- 1 (exp a))) (pow (- 1 (exp (* 2 a))) 2))) (* 2 (/ (- (/ (exp a) (- 1 (exp (* 2 a)))) (* 2 (/ (* (exp a) (- 1 (exp a))) (pow (- 1 (exp (* 2 a))) 2)))) (- 1 (exp (* 2 a))))))) (- 1 (exp (* 2 a))))) (* 2 (/ (- (/ (exp a) (- 1 (exp (* 2 a)))) (* 2 (/ (* (exp a) (- 1 (exp a))) (pow (- 1 (exp (* 2 a))) 2)))) (- 1 (exp (* 2 a)))))))))) (+ (* 2 (/ (* (exp a) (- 1 (exp a))) (pow (- 1 (exp (* 2 a))) 2))) (* 2 (/ (- (/ (exp a) (- 1 (exp (* 2 a)))) (* 2 (/ (* (exp a) (- 1 (exp a))) (pow (- 1 (exp (* 2 a))) 2)))) (- 1 (exp (* 2 a)))))))) (/ (exp a) (- 1 (exp (* 2 a))))) (* 2 (/ (* (exp a) (- 1 (exp a))) (pow (- 1 (exp (* 2 a))) 2))))) (/ (* (exp a) (- 1 (exp a))) (- 1 (exp (* 2 a)))))))
#s(approx (/ (- (exp (+ b b)) (exp (+ a a))) (- (exp b) (exp a))) #s(hole binary64 (/ (- 1 (exp (* 2 a))) (- 1 (exp a)))))
#s(approx (/ (- (exp (+ b b)) (exp (+ a a))) (- (exp b) (exp a))) #s(hole binary64 (- (+ (* b (- (+ (* 2 (/ 1 (- 1 (exp a)))) (/ (exp (* 2 a)) (pow (- 1 (exp a)) 2))) (/ 1 (pow (- 1 (exp a)) 2)))) (/ 1 (- 1 (exp a)))) (/ (exp (* 2 a)) (- 1 (exp a))))))
#s(approx (/ (- (exp (+ b b)) (exp (+ a a))) (- (exp b) (exp a))) #s(hole binary64 (- (+ (* b (- (+ (* 2 (/ 1 (- 1 (exp a)))) (+ (* b (- (+ (* 2 (/ 1 (- 1 (exp a)))) (/ 1 (pow (- 1 (exp a)) 3))) (+ (* 1/2 (/ (- 1 (exp (* 2 a))) (pow (- 1 (exp a)) 2))) (+ (* 2 (/ 1 (pow (- 1 (exp a)) 2))) (/ (exp (* 2 a)) (pow (- 1 (exp a)) 3)))))) (/ (exp (* 2 a)) (pow (- 1 (exp a)) 2)))) (/ 1 (pow (- 1 (exp a)) 2)))) (/ 1 (- 1 (exp a)))) (/ (exp (* 2 a)) (- 1 (exp a))))))
#s(approx (/ (- (exp (+ b b)) (exp (+ a a))) (- (exp b) (exp a))) #s(hole binary64 (- (+ (* b (- (+ (* 2 (/ 1 (- 1 (exp a)))) (+ (* b (- (+ (* 2 (/ 1 (- 1 (exp a)))) (+ (* b (- (+ (* 1/2 (/ (- 1 (exp (* 2 a))) (pow (- 1 (exp a)) 3))) (+ (* 4/3 (/ 1 (- 1 (exp a)))) (+ (* 2 (/ 1 (pow (- 1 (exp a)) 3))) (/ (exp (* 2 a)) (pow (- 1 (exp a)) 4))))) (+ (* 1/6 (/ (- 1 (exp (* 2 a))) (pow (- 1 (exp a)) 2))) (+ (* 1/2 (/ (- (+ (* 2 (/ 1 (- 1 (exp a)))) (/ (exp (* 2 a)) (pow (- 1 (exp a)) 2))) (/ 1 (pow (- 1 (exp a)) 2))) (- 1 (exp a)))) (+ (* 2 (/ 1 (pow (- 1 (exp a)) 2))) (/ 1 (pow (- 1 (exp a)) 4))))))) (/ 1 (pow (- 1 (exp a)) 3)))) (+ (* 1/2 (/ (- 1 (exp (* 2 a))) (pow (- 1 (exp a)) 2))) (+ (* 2 (/ 1 (pow (- 1 (exp a)) 2))) (/ (exp (* 2 a)) (pow (- 1 (exp a)) 3)))))) (/ (exp (* 2 a)) (pow (- 1 (exp a)) 2)))) (/ 1 (pow (- 1 (exp a)) 2)))) (/ 1 (- 1 (exp a)))) (/ (exp (* 2 a)) (- 1 (exp a))))))
#s(approx (- (exp (+ b b)) (exp (+ a a))) #s(hole binary64 (- 1 (exp (* 2 a)))))
#s(approx (- (exp (+ b b)) (exp (+ a a))) #s(hole binary64 (- (+ 1 (* 2 b)) (exp (* 2 a)))))
#s(approx (- (exp (+ b b)) (exp (+ a a))) #s(hole binary64 (- (+ 1 (* b (+ 2 (* 2 b)))) (exp (* 2 a)))))
#s(approx (- (exp (+ b b)) (exp (+ a a))) #s(hole binary64 (- (+ 1 (* b (+ 2 (* b (+ 2 (* 4/3 b)))))) (exp (* 2 a)))))
#s(approx (exp (+ b b)) #s(hole binary64 (+ 1 (* 2 b))))
#s(approx (exp (+ b b)) #s(hole binary64 (+ 1 (* b (+ 2 (* 2 b))))))
#s(approx (exp (+ b b)) #s(hole binary64 (+ 1 (* b (+ 2 (* b (+ 2 (* 4/3 b))))))))
#s(approx (+ b b) #s(hole binary64 (* 2 b)))
#s(approx (- (exp b) (exp a)) #s(hole binary64 (- 1 (exp a))))
#s(approx (- (exp b) (exp a)) #s(hole binary64 (- (+ 1 b) (exp a))))
#s(approx (- (exp b) (exp a)) #s(hole binary64 (- (+ 1 (* b (+ 1 (* 1/2 b)))) (exp a))))
#s(approx (- (exp b) (exp a)) #s(hole binary64 (- (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) (exp a))))
#s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) #s(hole binary64 (+ 1/2 (* 1/4 a))))
#s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* 1/4 a)))))
#s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) #s(hole binary64 (+ 1/2 (+ (* 1/4 a) (* b (- (* -1/16 (* a b)) 1/4))))))
#s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) #s(hole binary64 (+ 1/2 (+ (* 1/4 a) (* b (- (* b (+ (* -1/16 a) (* 1/48 b))) 1/4))))))
#s(approx (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) #s(hole binary64 1/4))
#s(approx (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) #s(hole binary64 (+ 1/4 (* -1/16 (pow b 2)))))
#s(approx (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) #s(hole binary64 (+ 1/4 (* (pow b 2) (- (* 1/96 (pow b 2)) 1/16)))))
#s(approx (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) #s(hole binary64 (+ 1/4 (* (pow b 2) (- (* (pow b 2) (+ 1/96 (* -17/11520 (pow b 2)))) 1/16)))))
#s(approx (pow (- (exp b) -1) -2) #s(hole binary64 (+ 1/4 (* -1/4 b))))
#s(approx (pow (- (exp b) -1) -2) #s(hole binary64 (+ 1/4 (* b (- (* 1/16 b) 1/4)))))
#s(approx (pow (- (exp b) -1) -2) #s(hole binary64 (+ 1/4 (* b (- (* b (+ 1/16 (* 1/48 b))) 1/4)))))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (exp (+ b b)) #s(hole binary64 (exp (* 2 b))))
#s(approx (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) #s(hole binary64 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))
#s(approx (pow (- (exp b) -1) -2) #s(hole binary64 (/ 1 (pow (+ 1 (exp b)) 2))))
#s(approx (/ (exp a) (/ (- (exp (+ b b)) (exp (+ a a))) (- (exp b) (exp a)))) #s(hole binary64 (/ (* (exp a) (- (exp b) (exp a))) (- (exp (neg (* -2 b))) (exp (* 2 a))))))
#s(approx (/ (- (exp (+ b b)) (exp (+ a a))) (- (exp b) (exp a))) #s(hole binary64 (/ (- (exp (neg (* -2 b))) (exp (* 2 a))) (- (exp b) (exp a)))))
#s(approx (- (exp (+ b b)) (exp (+ a a))) #s(hole binary64 (- (exp (neg (* -2 b))) (exp (* 2 a)))))
#s(approx (exp (+ b b)) #s(hole binary64 (exp (neg (* -2 b)))))
Calls

6 calls:

TimeVariablePointExpression
9.0ms
b
@inf
((/ (exp a) (+ (exp a) (exp b))) (exp a) (- a -1) a -1 (+ (exp a) (exp b)) (exp b) b (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) 1 (- (exp b) -1) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (- (exp a) -1) (/ (exp a) (/ (- (exp (+ b b)) (exp (+ a a))) (- (exp b) (exp a)))) (/ (- (exp (+ b b)) (exp (+ a a))) (- (exp b) (exp a))) (- (exp (+ b b)) (exp (+ a a))) (exp (+ b b)) (+ b b) (exp (+ a a)) (+ a a) (- (exp b) (exp a)) (/ (exp a) (+ (exp a) (exp b))) (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) (pow (- (exp b) -1) -2) -2)
5.0ms
a
@0
((/ (exp a) (+ (exp a) (exp b))) (exp a) (- a -1) a -1 (+ (exp a) (exp b)) (exp b) b (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) 1 (- (exp b) -1) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (- (exp a) -1) (/ (exp a) (/ (- (exp (+ b b)) (exp (+ a a))) (- (exp b) (exp a)))) (/ (- (exp (+ b b)) (exp (+ a a))) (- (exp b) (exp a))) (- (exp (+ b b)) (exp (+ a a))) (exp (+ b b)) (+ b b) (exp (+ a a)) (+ a a) (- (exp b) (exp a)) (/ (exp a) (+ (exp a) (exp b))) (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) (pow (- (exp b) -1) -2) -2)
5.0ms
a
@inf
((/ (exp a) (+ (exp a) (exp b))) (exp a) (- a -1) a -1 (+ (exp a) (exp b)) (exp b) b (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) 1 (- (exp b) -1) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (- (exp a) -1) (/ (exp a) (/ (- (exp (+ b b)) (exp (+ a a))) (- (exp b) (exp a)))) (/ (- (exp (+ b b)) (exp (+ a a))) (- (exp b) (exp a))) (- (exp (+ b b)) (exp (+ a a))) (exp (+ b b)) (+ b b) (exp (+ a a)) (+ a a) (- (exp b) (exp a)) (/ (exp a) (+ (exp a) (exp b))) (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) (pow (- (exp b) -1) -2) -2)
4.0ms
b
@-inf
((/ (exp a) (+ (exp a) (exp b))) (exp a) (- a -1) a -1 (+ (exp a) (exp b)) (exp b) b (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) 1 (- (exp b) -1) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (- (exp a) -1) (/ (exp a) (/ (- (exp (+ b b)) (exp (+ a a))) (- (exp b) (exp a)))) (/ (- (exp (+ b b)) (exp (+ a a))) (- (exp b) (exp a))) (- (exp (+ b b)) (exp (+ a a))) (exp (+ b b)) (+ b b) (exp (+ a a)) (+ a a) (- (exp b) (exp a)) (/ (exp a) (+ (exp a) (exp b))) (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) (pow (- (exp b) -1) -2) -2)
4.0ms
a
@-inf
((/ (exp a) (+ (exp a) (exp b))) (exp a) (- a -1) a -1 (+ (exp a) (exp b)) (exp b) b (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) 1 (- (exp b) -1) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (- (exp a) -1) (/ (exp a) (/ (- (exp (+ b b)) (exp (+ a a))) (- (exp b) (exp a)))) (/ (- (exp (+ b b)) (exp (+ a a))) (- (exp b) (exp a))) (- (exp (+ b b)) (exp (+ a a))) (exp (+ b b)) (+ b b) (exp (+ a a)) (+ a a) (- (exp b) (exp a)) (/ (exp a) (+ (exp a) (exp b))) (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) (pow (- (exp b) -1) -2) -2)

rewrite181.0ms (7.5%)

Memory
16.4MiB live, 155.8MiB allocated; 30ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06184298
06614061
142514059
080793688
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
140 → 214
Calls
Call 1
Inputs
(/.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))
a
#s(literal -1 binary64)
(+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.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))))
(/.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))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(exp.f64 a)
#s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64)))
(-.f64 (exp.f64 a) #s(literal -1 binary64))
(/.f64 (exp.f64 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 b)) (exp.f64 (+.f64 a a))) (-.f64 (exp.f64 b) (exp.f64 a)))
(-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a)))
(exp.f64 (+.f64 b b))
(+.f64 b b)
(exp.f64 (+.f64 a a))
(+.f64 a a)
(-.f64 (exp.f64 b) (exp.f64 a))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64)))
(pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))
#s(literal -2 binary64)
#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 (+ b b)) (exp (+ a a))) (- (exp b) (exp a)))) #s(hole binary64 (/ (- (exp b) 1) (- (exp (* 2 b)) 1))))
#s(approx (/ (exp a) (/ (- (exp (+ b b)) (exp (+ a a))) (- (exp b) (exp a)))) #s(hole binary64 (- (+ (* a (- (/ (exp b) (- (exp (* 2 b)) 1)) (+ (* -2 (/ (- (exp b) 1) (pow (- (exp (* 2 b)) 1) 2))) (* 2 (/ 1 (- (exp (* 2 b)) 1)))))) (/ (exp b) (- (exp (* 2 b)) 1))) (/ 1 (- (exp (* 2 b)) 1)))))
#s(approx (/ (exp a) (/ (- (exp (+ b b)) (exp (+ a a))) (- (exp b) (exp a)))) #s(hole binary64 (- (+ (* a (- (+ (* a (- (* 1/2 (/ (- (exp b) 1) (- (exp (* 2 b)) 1))) (+ (* -2 (/ (- (exp b) 1) (pow (- (exp (* 2 b)) 1) 2))) (+ (* -2 (/ (- (/ (exp b) (- (exp (* 2 b)) 1)) (+ (* -2 (/ (- (exp b) 1) (pow (- (exp (* 2 b)) 1) 2))) (* 2 (/ 1 (- (exp (* 2 b)) 1))))) (- (exp (* 2 b)) 1))) (* 3/2 (/ 1 (- (exp (* 2 b)) 1))))))) (/ (exp b) (- (exp (* 2 b)) 1))) (+ (* -2 (/ (- (exp b) 1) (pow (- (exp (* 2 b)) 1) 2))) (* 2 (/ 1 (- (exp (* 2 b)) 1)))))) (/ (exp b) (- (exp (* 2 b)) 1))) (/ 1 (- (exp (* 2 b)) 1)))))
#s(approx (/ (exp a) (/ (- (exp (+ b b)) (exp (+ a a))) (- (exp b) (exp a)))) #s(hole binary64 (- (+ (* a (- (+ (* a (- (+ (* 1/2 (/ (- (exp b) 1) (- (exp (* 2 b)) 1))) (* a (- (* 1/6 (/ (- (exp b) 1) (- (exp (* 2 b)) 1))) (+ (* -2 (/ (- (* 1/2 (/ (- (exp b) 1) (- (exp (* 2 b)) 1))) (+ (* -2 (/ (- (exp b) 1) (pow (- (exp (* 2 b)) 1) 2))) (+ (* -2 (/ (- (/ (exp b) (- (exp (* 2 b)) 1)) (+ (* -2 (/ (- (exp b) 1) (pow (- (exp (* 2 b)) 1) 2))) (* 2 (/ 1 (- (exp (* 2 b)) 1))))) (- (exp (* 2 b)) 1))) (* 3/2 (/ 1 (- (exp (* 2 b)) 1)))))) (- (exp (* 2 b)) 1))) (+ (* -2 (/ (- (/ (exp b) (- (exp (* 2 b)) 1)) (+ (* -2 (/ (- (exp b) 1) (pow (- (exp (* 2 b)) 1) 2))) (* 2 (/ 1 (- (exp (* 2 b)) 1))))) (- (exp (* 2 b)) 1))) (+ (* -4/3 (/ (- (exp b) 1) (pow (- (exp (* 2 b)) 1) 2))) (* 7/6 (/ 1 (- (exp (* 2 b)) 1))))))))) (+ (* -2 (/ (- (exp b) 1) (pow (- (exp (* 2 b)) 1) 2))) (+ (* -2 (/ (- (/ (exp b) (- (exp (* 2 b)) 1)) (+ (* -2 (/ (- (exp b) 1) (pow (- (exp (* 2 b)) 1) 2))) (* 2 (/ 1 (- (exp (* 2 b)) 1))))) (- (exp (* 2 b)) 1))) (* 3/2 (/ 1 (- (exp (* 2 b)) 1))))))) (/ (exp b) (- (exp (* 2 b)) 1))) (+ (* -2 (/ (- (exp b) 1) (pow (- (exp (* 2 b)) 1) 2))) (* 2 (/ 1 (- (exp (* 2 b)) 1)))))) (/ (exp b) (- (exp (* 2 b)) 1))) (/ 1 (- (exp (* 2 b)) 1)))))
#s(approx (/ (- (exp (+ b b)) (exp (+ a a))) (- (exp b) (exp a))) #s(hole binary64 (/ (- (exp (* 2 b)) 1) (- (exp b) 1))))
#s(approx (/ (- (exp (+ b b)) (exp (+ a a))) (- (exp b) (exp a))) #s(hole binary64 (- (+ (* -1 (* a (+ (* -1 (/ (- (exp (* 2 b)) 1) (pow (- (exp b) 1) 2))) (* 2 (/ 1 (- (exp b) 1)))))) (/ (exp (* 2 b)) (- (exp b) 1))) (/ 1 (- (exp b) 1)))))
#s(approx (/ (- (exp (+ b b)) (exp (+ a a))) (- (exp b) (exp a))) #s(hole binary64 (- (+ (* a (- (* -1 (* a (+ (* -1 (/ (- (exp (* 2 b)) 1) (pow (- (exp b) 1) 3))) (+ (* -1/2 (/ (- (exp (* 2 b)) 1) (pow (- (exp b) 1) 2))) (+ (* 2 (/ 1 (- (exp b) 1))) (* 2 (/ 1 (pow (- (exp b) 1) 2)))))))) (+ (* -1 (/ (- (exp (* 2 b)) 1) (pow (- (exp b) 1) 2))) (* 2 (/ 1 (- (exp b) 1)))))) (/ (exp (* 2 b)) (- (exp b) 1))) (/ 1 (- (exp b) 1)))))
#s(approx (/ (- (exp (+ b b)) (exp (+ a a))) (- (exp b) (exp a))) #s(hole binary64 (- (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (- (exp (* 2 b)) 1) (pow (- (exp b) 1) 4))) (+ (* -1/2 (/ (- (exp (* 2 b)) 1) (pow (- (exp b) 1) 3))) (+ (* -1/6 (/ (- (exp (* 2 b)) 1) (pow (- (exp b) 1) 2))) (+ (* 1/2 (/ (+ (* -1 (/ (- (exp (* 2 b)) 1) (pow (- (exp b) 1) 2))) (* 2 (/ 1 (- (exp b) 1)))) (- (exp b) 1))) (+ (* 4/3 (/ 1 (- (exp b) 1))) (+ (* 2 (/ 1 (pow (- (exp b) 1) 2))) (* 2 (/ 1 (pow (- (exp b) 1) 3))))))))))) (+ (* -1 (/ (- (exp (* 2 b)) 1) (pow (- (exp b) 1) 3))) (+ (* -1/2 (/ (- (exp (* 2 b)) 1) (pow (- (exp b) 1) 2))) (+ (* 2 (/ 1 (- (exp b) 1))) (* 2 (/ 1 (pow (- (exp b) 1) 2)))))))) (+ (* -1 (/ (- (exp (* 2 b)) 1) (pow (- (exp b) 1) 2))) (* 2 (/ 1 (- (exp b) 1)))))) (/ (exp (* 2 b)) (- (exp b) 1))) (/ 1 (- (exp b) 1)))))
#s(approx (- (exp (+ b b)) (exp (+ a a))) #s(hole binary64 (- (exp (* 2 b)) 1)))
#s(approx (- (exp (+ b b)) (exp (+ a a))) #s(hole binary64 (- (+ (exp (* 2 b)) (* -2 a)) 1)))
#s(approx (- (exp (+ b b)) (exp (+ a a))) #s(hole binary64 (- (+ (exp (* 2 b)) (* a (- (* -2 a) 2))) 1)))
#s(approx (- (exp (+ b b)) (exp (+ a a))) #s(hole binary64 (- (+ (exp (* 2 b)) (* a (- (* a (- (* -4/3 a) 2)) 2))) 1)))
#s(approx (exp (+ a a)) #s(hole binary64 (+ 1 (* 2 a))))
#s(approx (exp (+ a a)) #s(hole binary64 (+ 1 (* a (+ 2 (* 2 a))))))
#s(approx (exp (+ a a)) #s(hole binary64 (+ 1 (* a (+ 2 (* a (+ 2 (* 4/3 a))))))))
#s(approx (+ a a) #s(hole binary64 (* 2 a)))
#s(approx (- (exp b) (exp a)) #s(hole binary64 (- (exp b) 1)))
#s(approx (- (exp b) (exp a)) #s(hole binary64 (- (+ (exp b) (* -1 a)) 1)))
#s(approx (- (exp b) (exp a)) #s(hole binary64 (- (+ (exp b) (* a (- (* -1/2 a) 1))) 1)))
#s(approx (- (exp b) (exp a)) #s(hole binary64 (- (+ (exp b) (* a (- (* a (- (* -1/6 a) 1/2)) 1))) 1)))
#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 (- a -1) #s(hole binary64 (* a (+ 1 (/ 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 (/ (exp a) (/ (- (exp (+ b b)) (exp (+ a a))) (- (exp b) (exp a)))) #s(hole binary64 (/ (* (exp a) (- (exp b) (exp a))) (- (exp (* 2 b)) (exp (* 2 a))))))
#s(approx (/ (- (exp (+ b b)) (exp (+ a a))) (- (exp b) (exp a))) #s(hole binary64 (/ (- (exp (* 2 b)) (exp (* 2 a))) (- (exp b) (exp a)))))
#s(approx (- (exp (+ b b)) (exp (+ a a))) #s(hole binary64 (- (exp (* 2 b)) (exp (* 2 a)))))
#s(approx (exp (+ a a)) #s(hole binary64 (exp (* 2 a))))
#s(approx (- (exp b) (exp a)) #s(hole binary64 (- (exp b) (exp a))))
#s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) #s(hole binary64 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))))
#s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) #s(hole binary64 (* a (- (+ (/ 1 (* a (+ 1 (exp b)))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2))))))
#s(approx (/ (exp a) (/ (- (exp (+ b b)) (exp (+ a a))) (- (exp b) (exp a)))) #s(hole binary64 (/ (* (exp a) (- (exp b) (exp a))) (- (exp (* 2 b)) (exp (neg (* -2 a)))))))
#s(approx (/ (- (exp (+ b b)) (exp (+ a a))) (- (exp b) (exp a))) #s(hole binary64 (/ (- (exp (* 2 b)) (exp (neg (* -2 a)))) (- (exp b) (exp a)))))
#s(approx (- (exp (+ b b)) (exp (+ a a))) #s(hole binary64 (- (exp (* 2 b)) (exp (neg (* -2 a))))))
#s(approx (exp (+ a a)) #s(hole binary64 (exp (neg (* -2 a)))))
#s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) #s(hole binary64 (* -1 (* a (- (* -1 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (* a (+ 1 (exp b)))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ 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 (/ 1 (- (exp b) -1)) #s(hole binary64 1/2))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 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 a) (/ (- (exp (+ b b)) (exp (+ a a))) (- (exp b) (exp a)))) #s(hole binary64 (/ (* (exp a) (- 1 (exp a))) (- 1 (exp (* 2 a))))))
#s(approx (/ (exp a) (/ (- (exp (+ b b)) (exp (+ a a))) (- (exp b) (exp a)))) #s(hole binary64 (+ (* b (- (/ (exp a) (- 1 (exp (* 2 a)))) (* 2 (/ (* (exp a) (- 1 (exp a))) (pow (- 1 (exp (* 2 a))) 2))))) (/ (* (exp a) (- 1 (exp a))) (- 1 (exp (* 2 a)))))))
#s(approx (/ (exp a) (/ (- (exp (+ b b)) (exp (+ a a))) (- (exp b) (exp a)))) #s(hole binary64 (+ (* b (- (+ (* b (- (* 1/2 (/ (exp a) (- 1 (exp (* 2 a))))) (+ (* 2 (/ (* (exp a) (- 1 (exp a))) (pow (- 1 (exp (* 2 a))) 2))) (* 2 (/ (- (/ (exp a) (- 1 (exp (* 2 a)))) (* 2 (/ (* (exp a) (- 1 (exp a))) (pow (- 1 (exp (* 2 a))) 2)))) (- 1 (exp (* 2 a)))))))) (/ (exp a) (- 1 (exp (* 2 a))))) (* 2 (/ (* (exp a) (- 1 (exp a))) (pow (- 1 (exp (* 2 a))) 2))))) (/ (* (exp a) (- 1 (exp a))) (- 1 (exp (* 2 a)))))))
#s(approx (/ (exp a) (/ (- (exp (+ b b)) (exp (+ a a))) (- (exp b) (exp a)))) #s(hole binary64 (+ (* b (- (+ (* b (- (+ (* 1/2 (/ (exp a) (- 1 (exp (* 2 a))))) (* b (- (* 1/6 (/ (exp a) (- 1 (exp (* 2 a))))) (+ (* 4/3 (/ (* (exp a) (- 1 (exp a))) (pow (- 1 (exp (* 2 a))) 2))) (+ (* 2 (/ (- (* 1/2 (/ (exp a) (- 1 (exp (* 2 a))))) (+ (* 2 (/ (* (exp a) (- 1 (exp a))) (pow (- 1 (exp (* 2 a))) 2))) (* 2 (/ (- (/ (exp a) (- 1 (exp (* 2 a)))) (* 2 (/ (* (exp a) (- 1 (exp a))) (pow (- 1 (exp (* 2 a))) 2)))) (- 1 (exp (* 2 a))))))) (- 1 (exp (* 2 a))))) (* 2 (/ (- (/ (exp a) (- 1 (exp (* 2 a)))) (* 2 (/ (* (exp a) (- 1 (exp a))) (pow (- 1 (exp (* 2 a))) 2)))) (- 1 (exp (* 2 a)))))))))) (+ (* 2 (/ (* (exp a) (- 1 (exp a))) (pow (- 1 (exp (* 2 a))) 2))) (* 2 (/ (- (/ (exp a) (- 1 (exp (* 2 a)))) (* 2 (/ (* (exp a) (- 1 (exp a))) (pow (- 1 (exp (* 2 a))) 2)))) (- 1 (exp (* 2 a)))))))) (/ (exp a) (- 1 (exp (* 2 a))))) (* 2 (/ (* (exp a) (- 1 (exp a))) (pow (- 1 (exp (* 2 a))) 2))))) (/ (* (exp a) (- 1 (exp a))) (- 1 (exp (* 2 a)))))))
#s(approx (/ (- (exp (+ b b)) (exp (+ a a))) (- (exp b) (exp a))) #s(hole binary64 (/ (- 1 (exp (* 2 a))) (- 1 (exp a)))))
#s(approx (/ (- (exp (+ b b)) (exp (+ a a))) (- (exp b) (exp a))) #s(hole binary64 (- (+ (* b (- (+ (* 2 (/ 1 (- 1 (exp a)))) (/ (exp (* 2 a)) (pow (- 1 (exp a)) 2))) (/ 1 (pow (- 1 (exp a)) 2)))) (/ 1 (- 1 (exp a)))) (/ (exp (* 2 a)) (- 1 (exp a))))))
#s(approx (/ (- (exp (+ b b)) (exp (+ a a))) (- (exp b) (exp a))) #s(hole binary64 (- (+ (* b (- (+ (* 2 (/ 1 (- 1 (exp a)))) (+ (* b (- (+ (* 2 (/ 1 (- 1 (exp a)))) (/ 1 (pow (- 1 (exp a)) 3))) (+ (* 1/2 (/ (- 1 (exp (* 2 a))) (pow (- 1 (exp a)) 2))) (+ (* 2 (/ 1 (pow (- 1 (exp a)) 2))) (/ (exp (* 2 a)) (pow (- 1 (exp a)) 3)))))) (/ (exp (* 2 a)) (pow (- 1 (exp a)) 2)))) (/ 1 (pow (- 1 (exp a)) 2)))) (/ 1 (- 1 (exp a)))) (/ (exp (* 2 a)) (- 1 (exp a))))))
#s(approx (/ (- (exp (+ b b)) (exp (+ a a))) (- (exp b) (exp a))) #s(hole binary64 (- (+ (* b (- (+ (* 2 (/ 1 (- 1 (exp a)))) (+ (* b (- (+ (* 2 (/ 1 (- 1 (exp a)))) (+ (* b (- (+ (* 1/2 (/ (- 1 (exp (* 2 a))) (pow (- 1 (exp a)) 3))) (+ (* 4/3 (/ 1 (- 1 (exp a)))) (+ (* 2 (/ 1 (pow (- 1 (exp a)) 3))) (/ (exp (* 2 a)) (pow (- 1 (exp a)) 4))))) (+ (* 1/6 (/ (- 1 (exp (* 2 a))) (pow (- 1 (exp a)) 2))) (+ (* 1/2 (/ (- (+ (* 2 (/ 1 (- 1 (exp a)))) (/ (exp (* 2 a)) (pow (- 1 (exp a)) 2))) (/ 1 (pow (- 1 (exp a)) 2))) (- 1 (exp a)))) (+ (* 2 (/ 1 (pow (- 1 (exp a)) 2))) (/ 1 (pow (- 1 (exp a)) 4))))))) (/ 1 (pow (- 1 (exp a)) 3)))) (+ (* 1/2 (/ (- 1 (exp (* 2 a))) (pow (- 1 (exp a)) 2))) (+ (* 2 (/ 1 (pow (- 1 (exp a)) 2))) (/ (exp (* 2 a)) (pow (- 1 (exp a)) 3)))))) (/ (exp (* 2 a)) (pow (- 1 (exp a)) 2)))) (/ 1 (pow (- 1 (exp a)) 2)))) (/ 1 (- 1 (exp a)))) (/ (exp (* 2 a)) (- 1 (exp a))))))
#s(approx (- (exp (+ b b)) (exp (+ a a))) #s(hole binary64 (- 1 (exp (* 2 a)))))
#s(approx (- (exp (+ b b)) (exp (+ a a))) #s(hole binary64 (- (+ 1 (* 2 b)) (exp (* 2 a)))))
#s(approx (- (exp (+ b b)) (exp (+ a a))) #s(hole binary64 (- (+ 1 (* b (+ 2 (* 2 b)))) (exp (* 2 a)))))
#s(approx (- (exp (+ b b)) (exp (+ a a))) #s(hole binary64 (- (+ 1 (* b (+ 2 (* b (+ 2 (* 4/3 b)))))) (exp (* 2 a)))))
#s(approx (exp (+ b b)) #s(hole binary64 (+ 1 (* 2 b))))
#s(approx (exp (+ b b)) #s(hole binary64 (+ 1 (* b (+ 2 (* 2 b))))))
#s(approx (exp (+ b b)) #s(hole binary64 (+ 1 (* b (+ 2 (* b (+ 2 (* 4/3 b))))))))
#s(approx (+ b b) #s(hole binary64 (* 2 b)))
#s(approx (- (exp b) (exp a)) #s(hole binary64 (- 1 (exp a))))
#s(approx (- (exp b) (exp a)) #s(hole binary64 (- (+ 1 b) (exp a))))
#s(approx (- (exp b) (exp a)) #s(hole binary64 (- (+ 1 (* b (+ 1 (* 1/2 b)))) (exp a))))
#s(approx (- (exp b) (exp a)) #s(hole binary64 (- (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) (exp a))))
#s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) #s(hole binary64 (+ 1/2 (* 1/4 a))))
#s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* 1/4 a)))))
#s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) #s(hole binary64 (+ 1/2 (+ (* 1/4 a) (* b (- (* -1/16 (* a b)) 1/4))))))
#s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) #s(hole binary64 (+ 1/2 (+ (* 1/4 a) (* b (- (* b (+ (* -1/16 a) (* 1/48 b))) 1/4))))))
#s(approx (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) #s(hole binary64 1/4))
#s(approx (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) #s(hole binary64 (+ 1/4 (* -1/16 (pow b 2)))))
#s(approx (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) #s(hole binary64 (+ 1/4 (* (pow b 2) (- (* 1/96 (pow b 2)) 1/16)))))
#s(approx (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) #s(hole binary64 (+ 1/4 (* (pow b 2) (- (* (pow b 2) (+ 1/96 (* -17/11520 (pow b 2)))) 1/16)))))
#s(approx (pow (- (exp b) -1) -2) #s(hole binary64 (+ 1/4 (* -1/4 b))))
#s(approx (pow (- (exp b) -1) -2) #s(hole binary64 (+ 1/4 (* b (- (* 1/16 b) 1/4)))))
#s(approx (pow (- (exp b) -1) -2) #s(hole binary64 (+ 1/4 (* b (- (* b (+ 1/16 (* 1/48 b))) 1/4)))))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (exp (+ b b)) #s(hole binary64 (exp (* 2 b))))
#s(approx (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) #s(hole binary64 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))
#s(approx (pow (- (exp b) -1) -2) #s(hole binary64 (/ 1 (pow (+ 1 (exp b)) 2))))
#s(approx (/ (exp a) (/ (- (exp (+ b b)) (exp (+ a a))) (- (exp b) (exp a)))) #s(hole binary64 (/ (* (exp a) (- (exp b) (exp a))) (- (exp (neg (* -2 b))) (exp (* 2 a))))))
#s(approx (/ (- (exp (+ b b)) (exp (+ a a))) (- (exp b) (exp a))) #s(hole binary64 (/ (- (exp (neg (* -2 b))) (exp (* 2 a))) (- (exp b) (exp a)))))
#s(approx (- (exp (+ b b)) (exp (+ a a))) #s(hole binary64 (- (exp (neg (* -2 b))) (exp (* 2 a)))))
#s(approx (exp (+ b b)) #s(hole binary64 (exp (neg (* -2 b)))))
Outputs
(/.f64 (neg.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64)))) (neg.f64 (+.f64 (exp.f64 b) #s(approx (exp a) (-.f64 a #s(literal -1 binary64))))))
(/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (+.f64 (exp.f64 b) #s(approx (exp a) (-.f64 a #s(literal -1 binary64)))))
#s(approx (exp a) (-.f64 a #s(literal -1 binary64)))
(/.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 a #s(literal -1 binary64))
a
#s(literal -1 binary64)
(/.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 (exp.f64 b) #s(approx (exp a) (-.f64 a #s(literal -1 binary64))))
(+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b))
(exp.f64 b)
(+.f64 (cosh.f64 b) (sinh.f64 b))
b
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
(pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))
(/.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 (-.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 (expm1.f64 (+.f64 b b)) (+.f64 (exp.f64 b) #s(literal -1 binary64)))
(-.f64 (exp.f64 b) #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))))
(exp.f64 a)
(+.f64 (cosh.f64 a) (sinh.f64 a))
#s(approx (+ (exp a) (exp b)) (-.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 (exp.f64 a) #s(literal -1 binary64))
(*.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a)))) (-.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (neg.f64 (exp.f64 a)) (neg.f64 (/.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a))) (-.f64 (exp.f64 b) (exp.f64 a)))))
(/.f64 (exp.f64 a) (/.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a))) (-.f64 (exp.f64 b) (exp.f64 a))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a)))) (neg.f64 (-.f64 (exp.f64 b) (exp.f64 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 b)) (-.f64 (exp.f64 b) (exp.f64 a))) (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 b) (exp.f64 a))))
(/.f64 (-.f64 (exp.f64 (*.f64 (+.f64 b b) #s(literal 2 binary64))) (exp.f64 (*.f64 (+.f64 a a) #s(literal 2 binary64)))) (+.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a))))
(/.f64 (-.f64 (exp.f64 (*.f64 (+.f64 b b) #s(literal 3 binary64))) (exp.f64 (*.f64 (+.f64 a a) #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 (+.f64 b b) #s(literal 2 binary64))) (+.f64 (exp.f64 (*.f64 (+.f64 a a) #s(literal 2 binary64))) (exp.f64 (fma.f64 #s(literal 2 binary64) b (+.f64 a a))))))
(-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a)))
(*.f64 (neg.f64 (exp.f64 b)) (neg.f64 (exp.f64 b)))
(*.f64 (exp.f64 b) (exp.f64 b))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (neg.f64 b))
(pow.f64 (exp.f64 (*.f64 #s(literal -2 binary64) b)) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) b)
(pow.f64 (exp.f64 b) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) b)))
(-.f64 (cosh.f64 (+.f64 b b)) (sinh.f64 (*.f64 #s(literal -2 binary64) b)))
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) b)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) b))
(exp.f64 (+.f64 b b))
(+.f64 (cosh.f64 (+.f64 b b)) (sinh.f64 (+.f64 b b)))
(*.f64 #s(literal 2 binary64) b)
(*.f64 #s(literal -2 binary64) (neg.f64 b))
(*.f64 b #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 b b) (*.f64 b b)) (-.f64 b b))
(/.f64 (fma.f64 (*.f64 b b) b (*.f64 (*.f64 b b) b)) (fma.f64 b b (-.f64 (*.f64 b b) (*.f64 b b))))
(neg.f64 (*.f64 #s(literal -2 binary64) b))
(+.f64 b b)
(*.f64 (neg.f64 (exp.f64 a)) (neg.f64 (exp.f64 a)))
(*.f64 (exp.f64 a) (exp.f64 a))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (neg.f64 a))
(pow.f64 (exp.f64 (*.f64 #s(literal -2 binary64) a)) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) a)
(pow.f64 (exp.f64 a) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) a)))
(-.f64 (cosh.f64 (+.f64 a a)) (sinh.f64 (*.f64 #s(literal -2 binary64) a)))
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) a)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) a))
(exp.f64 (+.f64 a a))
(+.f64 (cosh.f64 (+.f64 a a)) (sinh.f64 (+.f64 a a)))
(*.f64 #s(literal 2 binary64) a)
(*.f64 #s(literal -2 binary64) (neg.f64 a))
(*.f64 a #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 a a) (*.f64 a a)) (-.f64 a a))
(/.f64 (fma.f64 (*.f64 a a) a (*.f64 (*.f64 a a) a)) (fma.f64 a a (-.f64 (*.f64 a a) (*.f64 a a))))
(neg.f64 (*.f64 #s(literal -2 binary64) a))
(+.f64 a 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)) (exp.f64 (+.f64 b a)))))
(/.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a))) (+.f64 (exp.f64 b) (exp.f64 a)))
(-.f64 (exp.f64 b) (exp.f64 a))
#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)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a) #s(literal 2 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a) #s(literal 3 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))))))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
(fma.f64 a (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
(+.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a))
(/.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -4 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))))
(/.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -3 binary64)) (exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -2 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -4 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -3 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64)))
(*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
(pow.f64 (exp.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)))) #s(literal -2 binary64))
(pow.f64 (*.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal 2 binary64))
(pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -2 binary64))) (sinh.f64 (*.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -2 binary64))))
#s(literal -2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (fma.f64 a (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -3 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)) #s(literal 3/2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (-.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -3 binary64)) (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -4 binary64)))))) a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -3 binary64))) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)) #s(literal 3/2 binary64)))) a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
#s(approx (exp a) #s(literal 1 binary64))
#s(approx (exp a) (+.f64 #s(literal 1 binary64) a))
#s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
#s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
#s(approx a a)
#s(approx (+ (exp a) (exp b)) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
#s(approx (+ (exp a) (exp b)) (+.f64 (+.f64 (exp.f64 b) a) #s(literal 1 binary64)))
#s(approx (+ (exp a) (exp b)) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (exp.f64 b)) #s(literal 1 binary64)))
#s(approx (+ (exp a) (exp b)) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a (exp.f64 b)) #s(literal 1 binary64)))
#s(approx (- (exp a) -1) #s(literal 2 binary64))
#s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a))
#s(approx (- (exp a) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))
#s(approx (- (exp a) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64)))
#s(approx (/ (exp a) (/ (- (exp (+ b b)) (exp (+ a a))) (- (exp b) (exp a)))) (/.f64 (expm1.f64 b) (expm1.f64 (+.f64 b b))))
#s(approx (/ (exp a) (/ (- (exp (+ b b)) (exp (+ a a))) (- (exp b) (exp a)))) (fma.f64 a (-.f64 (/.f64 (exp.f64 b) (expm1.f64 (+.f64 b b))) (fma.f64 (/.f64 (expm1.f64 b) (*.f64 (expm1.f64 (+.f64 b b)) (expm1.f64 (+.f64 b b)))) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (expm1.f64 (+.f64 b b))))) (/.f64 (expm1.f64 b) (expm1.f64 (+.f64 b b)))))
#s(approx (/ (exp a) (/ (- (exp (+ b b)) (exp (+ a a))) (- (exp b) (exp a)))) (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (expm1.f64 b)) (expm1.f64 (+.f64 b b))) (fma.f64 (/.f64 (expm1.f64 b) (*.f64 (expm1.f64 (+.f64 b b)) (expm1.f64 (+.f64 b b)))) #s(literal -2 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 (exp.f64 b) (expm1.f64 (+.f64 b b))) (fma.f64 (/.f64 (expm1.f64 b) (*.f64 (expm1.f64 (+.f64 b b)) (expm1.f64 (+.f64 b b)))) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (expm1.f64 (+.f64 b b))))) (expm1.f64 (+.f64 b b))) (/.f64 #s(literal 3/2 binary64) (expm1.f64 (+.f64 b b)))))) a (/.f64 (exp.f64 b) (expm1.f64 (+.f64 b b)))) (fma.f64 (/.f64 (expm1.f64 b) (*.f64 (expm1.f64 (+.f64 b b)) (expm1.f64 (+.f64 b b)))) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (expm1.f64 (+.f64 b b))))) a (/.f64 (expm1.f64 b) (expm1.f64 (+.f64 b b)))))
#s(approx (/ (exp a) (/ (- (exp (+ b b)) (exp (+ a a))) (- (exp b) (exp a)))) (fma.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (expm1.f64 b)) (expm1.f64 (+.f64 b b))) (fma.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (expm1.f64 b)) (expm1.f64 (+.f64 b b))) (fma.f64 (/.f64 (expm1.f64 b) (*.f64 (expm1.f64 (+.f64 b b)) (expm1.f64 (+.f64 b b)))) #s(literal -2 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 (exp.f64 b) (expm1.f64 (+.f64 b b))) (fma.f64 (/.f64 (expm1.f64 b) (*.f64 (expm1.f64 (+.f64 b b)) (expm1.f64 (+.f64 b b)))) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (expm1.f64 (+.f64 b b))))) (expm1.f64 (+.f64 b b))) (/.f64 #s(literal 3/2 binary64) (expm1.f64 (+.f64 b b)))))) (expm1.f64 (+.f64 b b))) #s(literal -2 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 (exp.f64 b) (expm1.f64 (+.f64 b b))) (fma.f64 (/.f64 (expm1.f64 b) (*.f64 (expm1.f64 (+.f64 b b)) (expm1.f64 (+.f64 b b)))) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (expm1.f64 (+.f64 b b))))) (expm1.f64 (+.f64 b b))) (fma.f64 #s(literal -4/3 binary64) (/.f64 (expm1.f64 b) (*.f64 (expm1.f64 (+.f64 b b)) (expm1.f64 (+.f64 b b)))) (/.f64 #s(literal 7/6 binary64) (expm1.f64 (+.f64 b b))))))) a (/.f64 (*.f64 #s(literal 1/2 binary64) (expm1.f64 b)) (expm1.f64 (+.f64 b b)))) (fma.f64 (/.f64 (expm1.f64 b) (*.f64 (expm1.f64 (+.f64 b b)) (expm1.f64 (+.f64 b b)))) #s(literal -2 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 (exp.f64 b) (expm1.f64 (+.f64 b b))) (fma.f64 (/.f64 (expm1.f64 b) (*.f64 (expm1.f64 (+.f64 b b)) (expm1.f64 (+.f64 b b)))) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (expm1.f64 (+.f64 b b))))) (expm1.f64 (+.f64 b b))) (/.f64 #s(literal 3/2 binary64) (expm1.f64 (+.f64 b b)))))) a (-.f64 (/.f64 (exp.f64 b) (expm1.f64 (+.f64 b b))) (fma.f64 (/.f64 (expm1.f64 b) (*.f64 (expm1.f64 (+.f64 b b)) (expm1.f64 (+.f64 b b)))) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (expm1.f64 (+.f64 b b)))))) a (/.f64 (expm1.f64 b) (expm1.f64 (+.f64 b b)))))
#s(approx (/ (- (exp (+ b b)) (exp (+ a a))) (- (exp b) (exp a))) (/.f64 (expm1.f64 (+.f64 b b)) (expm1.f64 b)))
#s(approx (/ (- (exp (+ b b)) (exp (+ a a))) (- (exp b) (exp a))) (fma.f64 (neg.f64 a) (+.f64 (/.f64 #s(literal 2 binary64) (expm1.f64 b)) (neg.f64 (/.f64 (expm1.f64 (+.f64 b b)) (*.f64 (expm1.f64 b) (expm1.f64 b))))) (/.f64 (expm1.f64 (+.f64 b b)) (expm1.f64 b))))
#s(approx (/ (- (exp (+ b b)) (exp (+ a a))) (- (exp b) (exp a))) (fma.f64 (-.f64 (-.f64 (*.f64 (neg.f64 a) (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (expm1.f64 (+.f64 b b)) (*.f64 (expm1.f64 b) (expm1.f64 b))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (expm1.f64 b) (expm1.f64 b))) (/.f64 #s(literal 2 binary64) (expm1.f64 b)))) (neg.f64 (/.f64 (expm1.f64 (+.f64 b b)) (pow.f64 (expm1.f64 b) #s(literal 3 binary64)))))) (neg.f64 (/.f64 (expm1.f64 (+.f64 b b)) (*.f64 (expm1.f64 b) (expm1.f64 b))))) (/.f64 #s(literal 2 binary64) (expm1.f64 b))) a (/.f64 (expm1.f64 (+.f64 b b)) (expm1.f64 b))))
#s(approx (/ (- (exp (+ b b)) (exp (+ a a))) (- (exp b) (exp a))) (fma.f64 (-.f64 (-.f64 (*.f64 (-.f64 (-.f64 (*.f64 (neg.f64 a) (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (expm1.f64 (+.f64 b b)) (pow.f64 (expm1.f64 b) #s(literal 3 binary64))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (expm1.f64 (+.f64 b b)) (*.f64 (expm1.f64 b) (expm1.f64 b))) (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (expm1.f64 b)) (neg.f64 (/.f64 (expm1.f64 (+.f64 b b)) (*.f64 (expm1.f64 b) (expm1.f64 b))))) (expm1.f64 b)) #s(literal 1/2 binary64) (+.f64 (fma.f64 (pow.f64 (expm1.f64 b) #s(literal -3 binary64)) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (expm1.f64 b) (expm1.f64 b)))) (/.f64 #s(literal 4/3 binary64) (expm1.f64 b)))))) (neg.f64 (/.f64 (expm1.f64 (+.f64 b b)) (pow.f64 (expm1.f64 b) #s(literal 4 binary64)))))) (neg.f64 (/.f64 (expm1.f64 (+.f64 b b)) (pow.f64 (expm1.f64 b) #s(literal 3 binary64))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (expm1.f64 (+.f64 b b)) (*.f64 (expm1.f64 b) (expm1.f64 b))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (expm1.f64 b) (expm1.f64 b))) (/.f64 #s(literal 2 binary64) (expm1.f64 b))))) a) (neg.f64 (/.f64 (expm1.f64 (+.f64 b b)) (*.f64 (expm1.f64 b) (expm1.f64 b))))) (/.f64 #s(literal 2 binary64) (expm1.f64 b))) a (/.f64 (expm1.f64 (+.f64 b b)) (expm1.f64 b))))
#s(approx (- (exp (+ b b)) (exp (+ a a))) (expm1.f64 (+.f64 b b)))
#s(approx (- (exp (+ b b)) (exp (+ a a))) (-.f64 (fma.f64 #s(literal -2 binary64) a (exp.f64 (+.f64 b b))) #s(literal 1 binary64)))
#s(approx (- (exp (+ b b)) (exp (+ a a))) (-.f64 (fma.f64 (-.f64 (*.f64 #s(literal -2 binary64) a) #s(literal 2 binary64)) a (exp.f64 (+.f64 b b))) #s(literal 1 binary64)))
#s(approx (- (exp (+ b b)) (exp (+ a a))) (-.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -4/3 binary64) a) #s(literal 2 binary64)) a) #s(literal 2 binary64)) a (exp.f64 (+.f64 b b))) #s(literal 1 binary64)))
#s(approx (exp (+ a a)) (fma.f64 #s(literal 2 binary64) a #s(literal 1 binary64)))
#s(approx (exp (+ a a)) (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 2 binary64)) a #s(literal 1 binary64)))
#s(approx (exp (+ a a)) (fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) a #s(literal 2 binary64)) a #s(literal 2 binary64)) a #s(literal 1 binary64)))
#s(approx (+ a a) (+.f64 a a))
#s(approx (- (exp b) (exp a)) (expm1.f64 b))
#s(approx (- (exp b) (exp a)) (-.f64 (+.f64 (neg.f64 a) (exp.f64 b)) #s(literal 1 binary64)))
#s(approx (- (exp b) (exp a)) (-.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) a) #s(literal 1 binary64)) a (exp.f64 b)) #s(literal 1 binary64)))
#s(approx (- (exp b) (exp a)) (-.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.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 (- 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 (- (exp a) -1) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
#s(approx (/ (exp a) (/ (- (exp (+ b b)) (exp (+ a a))) (- (exp b) (exp a)))) (/.f64 (*.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a)))))
#s(approx (/ (- (exp (+ b b)) (exp (+ a a))) (- (exp b) (exp a))) (/.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a))) (-.f64 (exp.f64 b) (exp.f64 a))))
#s(approx (- (exp (+ b b)) (exp (+ a a))) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a))))
#s(approx (exp (+ a a)) (exp.f64 (+.f64 a a)))
#s(approx (- (exp b) (exp a)) (-.f64 (exp.f64 b) (exp.f64 a)))
#s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) a))
#s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) a)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) a))
#s(approx (/ (exp a) (/ (- (exp (+ b b)) (exp (+ a a))) (- (exp b) (exp a)))) (/.f64 (*.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a)))))
#s(approx (/ (- (exp (+ b b)) (exp (+ a a))) (- (exp b) (exp a))) (/.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a))) (-.f64 (exp.f64 b) (exp.f64 a))))
#s(approx (- (exp (+ b b)) (exp (+ a a))) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a))))
#s(approx (exp (+ a a)) (exp.f64 (+.f64 a a)))
#s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (*.f64 (neg.f64 a) (-.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (+.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 (exp.f64 (-.f64 a (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)))) #s(literal 1/6 binary64) (*.f64 (exp.f64 (-.f64 a (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64)))) #s(literal -1/2 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 (exp b) (+.f64 #s(literal 1 binary64) b))
#s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
#s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
#s(approx b b)
#s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64))
#s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
#s(approx (/ 1 (- (exp b) -1)) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))
#s(approx (/ 1 (- (exp b) -1)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))
#s(approx (- (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 a) (/ (- (exp (+ b b)) (exp (+ a a))) (- (exp b) (exp a)))) (*.f64 (exp.f64 a) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))))
#s(approx (/ (exp a) (/ (- (exp (+ b b)) (exp (+ a a))) (- (exp b) (exp a)))) (fma.f64 (-.f64 (/.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a))) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) #s(literal 2 binary64)))) b (*.f64 (exp.f64 a) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))))))
#s(approx (/ (exp a) (/ (- (exp (+ b b)) (exp (+ a a))) (- (exp b) (exp a)))) (fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 a)) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (*.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 a) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a))) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))))) b (-.f64 (/.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a))) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) #s(literal 2 binary64))))) b (*.f64 (exp.f64 a) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))))))
#s(approx (/ (exp a) (/ (- (exp (+ b b)) (exp (+ a a))) (- (exp b) (exp a)))) (fma.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (exp.f64 a)) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a)) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) #s(literal 2 binary64))) #s(literal 4/3 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 a)) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (*.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 a) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a))) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))))) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (/.f64 (-.f64 (/.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a))) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))))))) b (/.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 a)) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))) (*.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 a) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a))) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))))) b (-.f64 (/.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a))) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) #s(literal 2 binary64))))) b (*.f64 (exp.f64 a) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))))))
#s(approx (/ (- (exp (+ b b)) (exp (+ a a))) (- (exp b) (exp a))) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
#s(approx (/ (- (exp (+ b b)) (exp (+ a a))) (- (exp b) (exp a))) (fma.f64 b (-.f64 (+.f64 (exp.f64 (-.f64 (+.f64 a a) (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (/ (- (exp (+ b b)) (exp (+ a a))) (- (exp b) (exp a))) (fma.f64 (-.f64 (+.f64 (fma.f64 (-.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -3 binary64)) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a)))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (-.f64 #s(literal 1 binary64) (exp.f64 a)))) #s(literal 1/2 binary64) (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64)) #s(literal 2 binary64) (exp.f64 (-.f64 (+.f64 a a) (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64))))))) b (exp.f64 (-.f64 (+.f64 a a) (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64))))) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64))) b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (/ (- (exp (+ b b)) (exp (+ a a))) (- (exp b) (exp a))) (fma.f64 (-.f64 (+.f64 (fma.f64 (-.f64 (+.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) #s(literal 1/2 binary64) (-.f64 (+.f64 (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -3 binary64)) #s(literal 2 binary64) (exp.f64 (-.f64 (+.f64 a a) (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 4 binary64))))) (/.f64 #s(literal 4/3 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a)))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (-.f64 #s(literal 1 binary64) (exp.f64 a)))) #s(literal 1/6 binary64) (fma.f64 (/.f64 (-.f64 (+.f64 (exp.f64 (-.f64 (+.f64 a a) (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64) (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64)) #s(literal 2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -4 binary64))))))) b (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -3 binary64))) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a)))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (-.f64 #s(literal 1 binary64) (exp.f64 a)))) #s(literal 1/2 binary64) (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64)) #s(literal 2 binary64) (exp.f64 (-.f64 (+.f64 a a) (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64))))))) b (exp.f64 (-.f64 (+.f64 a a) (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64))))) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64))) b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (- (exp (+ b b)) (exp (+ a a))) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))
#s(approx (- (exp (+ b b)) (exp (+ a a))) (-.f64 (fma.f64 #s(literal 2 binary64) b #s(literal 1 binary64)) (exp.f64 (+.f64 a a))))
#s(approx (- (exp (+ b b)) (exp (+ a a))) (-.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) b #s(literal 2 binary64)) b #s(literal 1 binary64)) (exp.f64 (+.f64 a a))))
#s(approx (- (exp (+ b b)) (exp (+ a a))) (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) b #s(literal 2 binary64)) b #s(literal 2 binary64)) b #s(literal 1 binary64)) (exp.f64 (+.f64 a a))))
#s(approx (exp (+ b b)) (fma.f64 #s(literal 2 binary64) b #s(literal 1 binary64)))
#s(approx (exp (+ b b)) (fma.f64 (fma.f64 #s(literal 2 binary64) b #s(literal 2 binary64)) b #s(literal 1 binary64)))
#s(approx (exp (+ b b)) (fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) b #s(literal 2 binary64)) b #s(literal 2 binary64)) b #s(literal 1 binary64)))
#s(approx (+ b b) (+.f64 b b))
#s(approx (- (exp b) (exp a)) (-.f64 #s(literal 1 binary64) (exp.f64 a)))
#s(approx (- (exp b) (exp a)) (-.f64 (+.f64 #s(literal 1 binary64) b) (exp.f64 a)))
#s(approx (- (exp b) (exp a)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)) (exp.f64 a)))
#s(approx (- (exp b) (exp a)) (-.f64 (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)) (exp.f64 a)))
#s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))
#s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (+.f64 (fma.f64 #s(literal 1/4 binary64) a (*.f64 #s(literal -1/4 binary64) b)) #s(literal 1/2 binary64)))
#s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (+.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b a) #s(literal -1/16 binary64)) #s(literal 1/4 binary64)) b (*.f64 #s(literal 1/4 binary64) a)) #s(literal 1/2 binary64)))
#s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (+.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/16 binary64) a (*.f64 #s(literal 1/48 binary64) b)) b) #s(literal 1/4 binary64)) b (*.f64 #s(literal 1/4 binary64) a)) #s(literal 1/2 binary64)))
#s(approx (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) #s(literal 1/4 binary64))
#s(approx (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) (fma.f64 #s(literal -1/16 binary64) (*.f64 b b) #s(literal 1/4 binary64)))
#s(approx (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) (fma.f64 (-.f64 (*.f64 #s(literal 1/96 binary64) (*.f64 b b)) #s(literal 1/16 binary64)) (*.f64 b b) #s(literal 1/4 binary64)))
#s(approx (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -17/11520 binary64) (*.f64 b b) #s(literal 1/96 binary64)) (*.f64 b b)) #s(literal 1/16 binary64)) (*.f64 b b) #s(literal 1/4 binary64)))
#s(approx (pow (- (exp b) -1) -2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/4 binary64)))
#s(approx (pow (- (exp b) -1) -2) (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) b) #s(literal 1/4 binary64)) b #s(literal 1/4 binary64)))
#s(approx (pow (- (exp b) -1) -2) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) b #s(literal 1/16 binary64)) b) #s(literal 1/4 binary64)) b #s(literal 1/4 binary64)))
#s(approx (exp b) (exp.f64 b))
#s(approx (exp (+ b b)) (exp.f64 (+.f64 b b)))
#s(approx (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))))
#s(approx (pow (- (exp b) -1) -2) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))
#s(approx (/ (exp a) (/ (- (exp (+ b b)) (exp (+ a a))) (- (exp b) (exp a)))) (/.f64 (*.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a)))))
#s(approx (/ (- (exp (+ b b)) (exp (+ a a))) (- (exp b) (exp a))) (/.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a))) (-.f64 (exp.f64 b) (exp.f64 a))))
#s(approx (- (exp (+ b b)) (exp (+ a a))) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a))))
#s(approx (exp (+ b b)) (exp.f64 (+.f64 b b)))

eval25.0ms (1.1%)

Memory
-13.0MiB live, 32.1MiB allocated; 4ms collecting garbage
Compiler

Compiled 7 506 to 1 159 computations (84.6% saved)

prune10.0ms (0.4%)

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

14 alts after pruning (12 fresh and 2 done)

PrunedKeptTotal
New20211213
Fresh011
Picked325
Done000
Total20514219
Accuracy
100.0%
Counts
219 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓68.1%
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
67.3%
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64))))
40.1%
(/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
▶71.3%
(+.f64 (/.f64 (cosh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) (/.f64 (sinh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))))
35.2%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (+.f64 b b)) (+.f64 (exp.f64 b) #s(literal -1 binary64)))))
✓80.6%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
▶40.0%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) #s(literal -1 binary64))))
▶57.6%
#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)))))
40.0%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
38.9%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 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))))
▶39.4%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
▶40.6%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
40.4%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
39.5%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (+.f64 (fma.f64 #s(literal 1/4 binary64) a (*.f64 #s(literal -1/4 binary64) b)) #s(literal 1/2 binary64))))
Compiler

Compiled 572 to 386 computations (32.5% saved)

series24.0ms (1%)

Memory
-11.4MiB live, 32.6MiB allocated; 5ms collecting garbage
Counts
30 → 78
Calls
Call 1
Inputs
(+.f64 (/.f64 (cosh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) (/.f64 (sinh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))))
(/.f64 (cosh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(cosh.f64 a)
a
(+.f64 (exp.f64 b) (exp.f64 a))
(exp.f64 b)
b
(exp.f64 a)
(/.f64 (sinh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(sinh.f64 a)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
#s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
#s(literal -1/4 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) #s(literal -1 binary64)))
#s(literal 1 binary64)
(-.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) #s(literal -1 binary64))
#s(approx (exp b) (+.f64 #s(literal 1 binary64) b))
(+.f64 #s(literal 1 binary64) b)
#s(literal -1 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))
#s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
#s(literal 2 binary64)
Outputs
#s(approx (+ (/ (cosh a) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (+ (/ (cosh a) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (+ (/ (cosh a) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (+ (/ (cosh a) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 7/6 (/ 1 (pow (+ 1 (exp b)) 2))) (/ 1 (pow (+ 1 (exp b)) 4))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (cosh a) (+ (exp b) (exp a))) #s(hole binary64 (+ (* -1 (/ a (pow (+ 1 (exp b)) 2))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (cosh a) (+ (exp b) (exp a))) #s(hole binary64 (+ (* a (- (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (cosh a) (+ (exp b) (exp a))) #s(hole binary64 (+ (* a (- (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (/ 1 (pow (+ 1 (exp b)) 3)) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (/ 1 (pow (+ 1 (exp b)) 4)))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (cosh a) #s(hole binary64 1))
#s(approx (cosh a) #s(hole binary64 (+ 1 (* 1/2 (pow a 2)))))
#s(approx (cosh a) #s(hole binary64 (+ 1 (* (pow a 2) (+ 1/2 (* 1/24 (pow a 2)))))))
#s(approx (cosh a) #s(hole binary64 (+ 1 (* (pow a 2) (+ 1/2 (* (pow a 2) (+ 1/24 (* 1/720 (pow a 2)))))))))
#s(approx a #s(hole binary64 a))
#s(approx (+ (exp b) (exp a)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (exp b) (exp a)) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (+ (exp b) (exp a)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (exp b) (exp a)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))
#s(approx (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 (/ (sinh a) (+ (exp b) (exp a))) #s(hole binary64 (/ a (+ 1 (exp b)))))
#s(approx (/ (sinh a) (+ (exp b) (exp a))) #s(hole binary64 (* a (+ (* -1 (/ a (pow (+ 1 (exp b)) 2))) (/ 1 (+ 1 (exp b)))))))
#s(approx (/ (sinh a) (+ (exp b) (exp a))) #s(hole binary64 (* a (+ (* a (- (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))))))
#s(approx (/ (sinh a) (+ (exp b) (exp a))) #s(hole binary64 (* a (+ (* a (- (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (+ (* a (- (/ 1 (pow (+ 1 (exp b)) 3)) (+ (* 1/3 (/ 1 (pow (+ 1 (exp b)) 2))) (/ 1 (pow (+ 1 (exp b)) 4))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))))))
#s(approx (sinh a) #s(hole binary64 (* a (+ 1 (* 1/6 (pow a 2))))))
#s(approx (sinh a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (+ 1/6 (* 1/120 (pow a 2))))))))
#s(approx (sinh a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (+ 1/6 (* (pow a 2) (+ 1/120 (* 1/5040 (pow a 2))))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* 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 (+ (/ (cosh a) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) #s(hole binary64 (+ (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (+ (exp a) (exp b)))) (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (+ (exp a) (exp b)))))))
#s(approx (/ (cosh a) (+ (exp b) (exp a))) #s(hole binary64 (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (+ (exp a) (exp b))))))
#s(approx (cosh a) #s(hole binary64 (* 1/2 (+ (exp a) (/ 1 (exp a))))))
#s(approx (+ (exp b) (exp a)) #s(hole binary64 (+ (exp a) (exp b))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (/ (sinh a) (+ (exp b) (exp a))) #s(hole binary64 (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (+ (exp a) (exp b))))))
#s(approx (sinh a) #s(hole binary64 (* 1/2 (- (exp a) (/ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ (exp a) (exp b)))))
#s(approx (+ (/ (cosh a) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) #s(hole binary64 (+ (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (+ 1 (exp a)))) (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (+ 1 (exp a)))))))
#s(approx (+ (/ (cosh a) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) #s(hole binary64 (+ (* -1 (* b (+ (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))) (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))))) (+ (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (+ 1 (exp a)))) (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (+ 1 (exp a))))))))
#s(approx (+ (/ (cosh a) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) #s(hole binary64 (+ (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (+ 1 (exp a)))) (+ (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (+ 1 (exp a)))) (* b (- (* -1 (* b (+ (* -1/2 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 3))) (+ (* -1/2 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 3))) (+ (* 1/4 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))) (* 1/4 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))))))) (+ (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))) (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))))))))))
#s(approx (+ (/ (cosh a) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) #s(hole binary64 (+ (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (+ 1 (exp a)))) (+ (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (+ 1 (exp a)))) (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1/2 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 3))) (* 1/4 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1 (/ (+ (* -1/2 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 3))) (* 1/4 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/4 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 3))) (+ (* -1/4 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 3))) (+ (* 1/12 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))) (* 1/12 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))))))))) (+ (* -1/2 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 3))) (+ (* -1/2 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 3))) (+ (* 1/4 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))) (* 1/4 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))))))) (+ (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))) (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))))))))))
#s(approx (/ (cosh a) (+ (exp b) (exp a))) #s(hole binary64 (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (+ 1 (exp a))))))
#s(approx (/ (cosh a) (+ (exp b) (exp a))) #s(hole binary64 (+ (* -1/2 (/ (* b (+ (exp a) (/ 1 (exp a)))) (pow (+ 1 (exp a)) 2))) (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (+ 1 (exp a)))))))
#s(approx (/ (cosh a) (+ (exp b) (exp a))) #s(hole binary64 (+ (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (+ 1 (exp a)))) (* b (- (* -1 (* b (+ (* -1/2 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 3))) (* 1/4 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))))) (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))))))))
#s(approx (/ (cosh a) (+ (exp b) (exp a))) #s(hole binary64 (+ (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (+ 1 (exp a)))) (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1/2 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 3))) (* 1/4 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/4 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 3))) (* 1/12 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))))))) (+ (* -1/2 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 3))) (* 1/4 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))))) (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))))))))
#s(approx (+ (exp b) (exp a)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (exp b) (exp a)) #s(hole binary64 (+ 1 (+ b (exp a)))))
#s(approx (+ (exp b) (exp a)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (exp b) (exp a)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (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 (/ (sinh a) (+ (exp b) (exp a))) #s(hole binary64 (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (+ 1 (exp a))))))
#s(approx (/ (sinh a) (+ (exp b) (exp a))) #s(hole binary64 (+ (* -1/2 (/ (* b (- (exp a) (/ 1 (exp a)))) (pow (+ 1 (exp a)) 2))) (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (+ 1 (exp a)))))))
#s(approx (/ (sinh a) (+ (exp b) (exp a))) #s(hole binary64 (+ (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (+ 1 (exp a)))) (* b (- (* -1 (* b (+ (* -1/2 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 3))) (* 1/4 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))))) (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))))))))
#s(approx (/ (sinh a) (+ (exp b) (exp a))) #s(hole binary64 (+ (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (+ 1 (exp a)))) (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1/2 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 3))) (* 1/4 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/4 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 3))) (* 1/12 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))))))) (+ (* -1/2 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 3))) (* 1/4 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))))) (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 1/2))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))))
#s(approx (- (exp b) -1) #s(hole binary64 2))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 b)))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (+ 1 (* 1/2 b))))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (* -1/4 b)))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (* b (- (* 1/2 (/ 1 b)) 1/4))))
#s(approx (+ 1 b) #s(hole binary64 (* b (+ 1 (/ 1 b)))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (* 1/2 (pow b 2))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (* (pow b 2) (+ 1/2 (/ 1 b)))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (* 1/2 b)))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (* b (+ 1/2 (/ 1 b)))))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))))
Calls

6 calls:

TimeVariablePointExpression
5.0ms
b
@-inf
((+ (/ (cosh a) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) (/ (cosh a) (+ (exp b) (exp a))) (cosh a) a (+ (exp b) (exp a)) (exp b) b (exp a) (/ (sinh a) (+ (exp b) (exp a))) (sinh a) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) 1/2 (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (+ (* -1/4 b) 1/2) -1/4 (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) 1 (- (exp b) -1) (exp b) (+ 1 b) -1 (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ (* (+ (* 1/2 b) 1) b) 2) (+ (* 1/2 b) 1) 2)
4.0ms
a
@-inf
((+ (/ (cosh a) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) (/ (cosh a) (+ (exp b) (exp a))) (cosh a) a (+ (exp b) (exp a)) (exp b) b (exp a) (/ (sinh a) (+ (exp b) (exp a))) (sinh a) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) 1/2 (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (+ (* -1/4 b) 1/2) -1/4 (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) 1 (- (exp b) -1) (exp b) (+ 1 b) -1 (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ (* (+ (* 1/2 b) 1) b) 2) (+ (* 1/2 b) 1) 2)
4.0ms
b
@inf
((+ (/ (cosh a) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) (/ (cosh a) (+ (exp b) (exp a))) (cosh a) a (+ (exp b) (exp a)) (exp b) b (exp a) (/ (sinh a) (+ (exp b) (exp a))) (sinh a) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) 1/2 (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (+ (* -1/4 b) 1/2) -1/4 (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) 1 (- (exp b) -1) (exp b) (+ 1 b) -1 (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ (* (+ (* 1/2 b) 1) b) 2) (+ (* 1/2 b) 1) 2)
3.0ms
b
@0
((+ (/ (cosh a) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) (/ (cosh a) (+ (exp b) (exp a))) (cosh a) a (+ (exp b) (exp a)) (exp b) b (exp a) (/ (sinh a) (+ (exp b) (exp a))) (sinh a) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) 1/2 (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (+ (* -1/4 b) 1/2) -1/4 (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) 1 (- (exp b) -1) (exp b) (+ 1 b) -1 (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ (* (+ (* 1/2 b) 1) b) 2) (+ (* 1/2 b) 1) 2)
3.0ms
a
@inf
((+ (/ (cosh a) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) (/ (cosh a) (+ (exp b) (exp a))) (cosh a) a (+ (exp b) (exp a)) (exp b) b (exp a) (/ (sinh a) (+ (exp b) (exp a))) (sinh a) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) 1/2 (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (+ (* -1/4 b) 1/2) -1/4 (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) 1 (- (exp b) -1) (exp b) (+ 1 b) -1 (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ (* (+ (* 1/2 b) 1) b) 2) (+ (* 1/2 b) 1) 2)

rewrite233.0ms (9.6%)

Memory
-2.5MiB live, 187.9MiB allocated; 91ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04553103
04752799
130352663
081392557
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
108 → 200
Calls
Call 1
Inputs
(+.f64 (/.f64 (cosh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) (/.f64 (sinh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))))
(/.f64 (cosh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(cosh.f64 a)
a
(+.f64 (exp.f64 b) (exp.f64 a))
(exp.f64 b)
b
(exp.f64 a)
(/.f64 (sinh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(sinh.f64 a)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
#s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
#s(literal -1/4 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) #s(literal -1 binary64)))
#s(literal 1 binary64)
(-.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) #s(literal -1 binary64))
#s(approx (exp b) (+.f64 #s(literal 1 binary64) b))
(+.f64 #s(literal 1 binary64) b)
#s(literal -1 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))
#s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
#s(literal 2 binary64)
#s(approx (+ (/ (cosh a) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (+ (/ (cosh a) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (+ (/ (cosh a) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (+ (/ (cosh a) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 7/6 (/ 1 (pow (+ 1 (exp b)) 2))) (/ 1 (pow (+ 1 (exp b)) 4))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (cosh a) (+ (exp b) (exp a))) #s(hole binary64 (+ (* -1 (/ a (pow (+ 1 (exp b)) 2))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (cosh a) (+ (exp b) (exp a))) #s(hole binary64 (+ (* a (- (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (cosh a) (+ (exp b) (exp a))) #s(hole binary64 (+ (* a (- (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (/ 1 (pow (+ 1 (exp b)) 3)) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (/ 1 (pow (+ 1 (exp b)) 4)))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (cosh a) #s(hole binary64 1))
#s(approx (cosh a) #s(hole binary64 (+ 1 (* 1/2 (pow a 2)))))
#s(approx (cosh a) #s(hole binary64 (+ 1 (* (pow a 2) (+ 1/2 (* 1/24 (pow a 2)))))))
#s(approx (cosh a) #s(hole binary64 (+ 1 (* (pow a 2) (+ 1/2 (* (pow a 2) (+ 1/24 (* 1/720 (pow a 2)))))))))
#s(approx a #s(hole binary64 a))
#s(approx (+ (exp b) (exp a)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (exp b) (exp a)) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (+ (exp b) (exp a)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (exp b) (exp a)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))
#s(approx (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 (/ (sinh a) (+ (exp b) (exp a))) #s(hole binary64 (/ a (+ 1 (exp b)))))
#s(approx (/ (sinh a) (+ (exp b) (exp a))) #s(hole binary64 (* a (+ (* -1 (/ a (pow (+ 1 (exp b)) 2))) (/ 1 (+ 1 (exp b)))))))
#s(approx (/ (sinh a) (+ (exp b) (exp a))) #s(hole binary64 (* a (+ (* a (- (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))))))
#s(approx (/ (sinh a) (+ (exp b) (exp a))) #s(hole binary64 (* a (+ (* a (- (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (+ (* a (- (/ 1 (pow (+ 1 (exp b)) 3)) (+ (* 1/3 (/ 1 (pow (+ 1 (exp b)) 2))) (/ 1 (pow (+ 1 (exp b)) 4))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))))))
#s(approx (sinh a) #s(hole binary64 (* a (+ 1 (* 1/6 (pow a 2))))))
#s(approx (sinh a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (+ 1/6 (* 1/120 (pow a 2))))))))
#s(approx (sinh a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (+ 1/6 (* (pow a 2) (+ 1/120 (* 1/5040 (pow a 2))))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* 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 (+ (/ (cosh a) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) #s(hole binary64 (+ (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (+ (exp a) (exp b)))) (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (+ (exp a) (exp b)))))))
#s(approx (/ (cosh a) (+ (exp b) (exp a))) #s(hole binary64 (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (+ (exp a) (exp b))))))
#s(approx (cosh a) #s(hole binary64 (* 1/2 (+ (exp a) (/ 1 (exp a))))))
#s(approx (+ (exp b) (exp a)) #s(hole binary64 (+ (exp a) (exp b))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (/ (sinh a) (+ (exp b) (exp a))) #s(hole binary64 (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (+ (exp a) (exp b))))))
#s(approx (sinh a) #s(hole binary64 (* 1/2 (- (exp a) (/ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ (exp a) (exp b)))))
#s(approx (+ (/ (cosh a) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) #s(hole binary64 (+ (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (+ 1 (exp a)))) (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (+ 1 (exp a)))))))
#s(approx (+ (/ (cosh a) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) #s(hole binary64 (+ (* -1 (* b (+ (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))) (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))))) (+ (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (+ 1 (exp a)))) (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (+ 1 (exp a))))))))
#s(approx (+ (/ (cosh a) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) #s(hole binary64 (+ (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (+ 1 (exp a)))) (+ (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (+ 1 (exp a)))) (* b (- (* -1 (* b (+ (* -1/2 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 3))) (+ (* -1/2 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 3))) (+ (* 1/4 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))) (* 1/4 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))))))) (+ (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))) (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))))))))))
#s(approx (+ (/ (cosh a) (+ (exp b) (exp a))) (/ (sinh a) (+ (exp b) (exp a)))) #s(hole binary64 (+ (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (+ 1 (exp a)))) (+ (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (+ 1 (exp a)))) (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1/2 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 3))) (* 1/4 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1 (/ (+ (* -1/2 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 3))) (* 1/4 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/4 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 3))) (+ (* -1/4 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 3))) (+ (* 1/12 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))) (* 1/12 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))))))))) (+ (* -1/2 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 3))) (+ (* -1/2 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 3))) (+ (* 1/4 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))) (* 1/4 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))))))) (+ (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))) (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))))))))))
#s(approx (/ (cosh a) (+ (exp b) (exp a))) #s(hole binary64 (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (+ 1 (exp a))))))
#s(approx (/ (cosh a) (+ (exp b) (exp a))) #s(hole binary64 (+ (* -1/2 (/ (* b (+ (exp a) (/ 1 (exp a)))) (pow (+ 1 (exp a)) 2))) (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (+ 1 (exp a)))))))
#s(approx (/ (cosh a) (+ (exp b) (exp a))) #s(hole binary64 (+ (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (+ 1 (exp a)))) (* b (- (* -1 (* b (+ (* -1/2 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 3))) (* 1/4 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))))) (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))))))))
#s(approx (/ (cosh a) (+ (exp b) (exp a))) #s(hole binary64 (+ (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (+ 1 (exp a)))) (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1/2 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 3))) (* 1/4 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/4 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 3))) (* 1/12 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))))))) (+ (* -1/2 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 3))) (* 1/4 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))))) (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))))))))
#s(approx (+ (exp b) (exp a)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (exp b) (exp a)) #s(hole binary64 (+ 1 (+ b (exp a)))))
#s(approx (+ (exp b) (exp a)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (exp b) (exp a)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (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 (/ (sinh a) (+ (exp b) (exp a))) #s(hole binary64 (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (+ 1 (exp a))))))
#s(approx (/ (sinh a) (+ (exp b) (exp a))) #s(hole binary64 (+ (* -1/2 (/ (* b (- (exp a) (/ 1 (exp a)))) (pow (+ 1 (exp a)) 2))) (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (+ 1 (exp a)))))))
#s(approx (/ (sinh a) (+ (exp b) (exp a))) #s(hole binary64 (+ (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (+ 1 (exp a)))) (* b (- (* -1 (* b (+ (* -1/2 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 3))) (* 1/4 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))))) (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))))))))
#s(approx (/ (sinh a) (+ (exp b) (exp a))) #s(hole binary64 (+ (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (+ 1 (exp a)))) (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1/2 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 3))) (* 1/4 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/4 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 3))) (* 1/12 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))))))) (+ (* -1/2 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 3))) (* 1/4 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))))) (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 1/2))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))))
#s(approx (- (exp b) -1) #s(hole binary64 2))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 b)))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (+ 1 (* 1/2 b))))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (* -1/4 b)))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (* b (- (* 1/2 (/ 1 b)) 1/4))))
#s(approx (+ 1 b) #s(hole binary64 (* b (+ 1 (/ 1 b)))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (* 1/2 (pow b 2))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (* (pow b 2) (+ 1/2 (/ 1 b)))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (* 1/2 b)))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (* b (+ 1/2 (/ 1 b)))))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))))
Outputs
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (cosh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal 2 binary64)) (pow.f64 (/.f64 (sinh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 (cosh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) (/.f64 (sinh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (cosh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal 3 binary64)) (pow.f64 (/.f64 (sinh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (cosh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (sinh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal 2 binary64)) (/.f64 (*.f64 (cosh.f64 a) (sinh.f64 a)) (pow.f64 (+.f64 (exp.f64 b) (exp.f64 a)) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (cosh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)) (*.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (sinh.f64 a)))) (neg.f64 (pow.f64 (+.f64 (exp.f64 b) (exp.f64 a)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (exp.f64 a))) (neg.f64 (neg.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (cosh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal 2 binary64)) (pow.f64 (/.f64 (sinh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal 2 binary64))) (-.f64 (/.f64 (cosh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) (/.f64 (sinh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (cosh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal 3 binary64)) (pow.f64 (/.f64 (sinh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (cosh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (sinh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal 2 binary64)) (/.f64 (*.f64 (cosh.f64 a) (sinh.f64 a)) (pow.f64 (+.f64 (exp.f64 b) (exp.f64 a)) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (cosh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)) (*.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (sinh.f64 a))) (pow.f64 (+.f64 (exp.f64 b) (exp.f64 a)) #s(literal 2 binary64)))
(/.f64 (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 (sinh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) (/.f64 (cosh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))))
(+.f64 (/.f64 (cosh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) (/.f64 (sinh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))))
(/.f64 (neg.f64 (neg.f64 (cosh.f64 a))) (neg.f64 (neg.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(/.f64 (neg.f64 (cosh.f64 a)) (neg.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(/.f64 (cosh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
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(cosh.f64 (neg.f64 a))
(cosh.f64 a)
a
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(+.f64 (exp.f64 a) (exp.f64 b))
(exp.f64 b)
(+.f64 (cosh.f64 b) (sinh.f64 b))
b
(exp.f64 a)
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(sinh.f64 a)
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#s(literal 1/2 binary64)
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#s(literal -1/4 binary64)
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#s(literal 1 binary64)
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(+.f64 #s(literal 1 binary64) b)
(+.f64 b #s(literal 1 binary64))
#s(literal -1 binary64)
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#s(literal 2 binary64)
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#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (fma.f64 (-.f64 (+.f64 (fma.f64 a (-.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -3 binary64)) #s(literal 2 binary64) (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (fma.f64 #s(literal 7/6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -4 binary64)))) (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 #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 (/ (cosh a) (+ (exp b) (exp a))) (+.f64 (neg.f64 (/.f64 a (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (+.f64 #s(literal 1 binary64) (exp.f64 b))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
#s(approx (/ (cosh a) (+ (exp b) (exp a))) (fma.f64 a (-.f64 (*.f64 (+.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 1/2 binary64)))) a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
#s(approx (/ (cosh a) (+ (exp b) (exp a))) (fma.f64 (-.f64 (*.f64 (-.f64 (+.f64 (fma.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -3 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)) (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)) #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -4 binary64))))) a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)) #s(literal 1/2 binary64))) a) (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 (cosh a) #s(literal 1 binary64))
#s(approx (cosh a) (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (cosh a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))
#s(approx (cosh a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))
#s(approx a a)
#s(approx (+ (exp b) (exp a)) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
#s(approx (+ (exp b) (exp a)) (+.f64 (+.f64 (exp.f64 b) a) #s(literal 1 binary64)))
#s(approx (+ (exp b) (exp a)) (+.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 b) (exp a)) (+.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) (+.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 (/ (sinh a) (+ (exp b) (exp a))) (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))))
#s(approx (/ (sinh a) (+ (exp b) (exp a))) (*.f64 (+.f64 (neg.f64 (/.f64 a (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (+.f64 #s(literal 1 binary64) (exp.f64 b))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) a))
#s(approx (/ (sinh a) (+ (exp b) (exp a))) (*.f64 (fma.f64 a (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/6 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 1/2 binary64)))) a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) a))
#s(approx (/ (sinh a) (+ (exp b) (exp a))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (+.f64 (fma.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -3 binary64)) (fma.f64 #s(literal 1/3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -4 binary64)))) a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -3 binary64))) (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)) #s(literal 1/2 binary64))) a) (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)))) a))
#s(approx (sinh a) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/6 binary64) #s(literal 1 binary64)) a))
#s(approx (sinh a) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 a a) #s(literal 1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a))
#s(approx (sinh a) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 a a) #s(literal 1/120 binary64)) (*.f64 a a) #s(literal 1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (-.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -3 binary64)) (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)) (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -4 binary64)))))) a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -3 binary64))) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)) #s(literal 3/2 binary64)))) a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (+.f64 (exp.f64 b) (exp.f64 a))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) (+.f64 (exp.f64 b) (exp.f64 a))))))
#s(approx (/ (cosh a) (+ (exp b) (exp a))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal 1/2 binary64)))
#s(approx (cosh a) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) #s(literal 1/2 binary64)))
#s(approx (+ (exp b) (exp a)) (+.f64 (exp.f64 b) (exp.f64 a)))
#s(approx (exp a) (exp.f64 a))
#s(approx (/ (sinh a) (+ (exp b) (exp a))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal 1/2 binary64)))
#s(approx (sinh a) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) #s(literal 1/2 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 a) (exp b))) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (*.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) #s(literal -1/2 binary64)))) b)) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a))))))) b)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (*.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (+.f64 (+.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) #s(literal -1/4 binary64) (fma.f64 #s(literal 1/12 binary64) (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) #s(literal -1/4 binary64)))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) b)) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) #s(literal -1/2 binary64))))) b) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a))))))) b)))
#s(approx (/ (cosh a) (+ (exp b) (exp a))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64)))
#s(approx (/ (cosh a) (+ (exp b) (exp a))) (fma.f64 (*.f64 b (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64))))
#s(approx (/ (cosh a) (+ (exp b) (exp a))) (fma.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))) b)) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) #s(literal 1/2 binary64))) b (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64))))
#s(approx (/ (cosh a) (+ (exp b) (exp a))) (fma.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) #s(literal -1/4 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) b)) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a))))))) b (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))) b (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64))))
#s(approx (+ (exp b) (exp a)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
#s(approx (+ (exp b) (exp a)) (+.f64 (+.f64 (exp.f64 a) b) #s(literal 1 binary64)))
#s(approx (+ (exp b) (exp a)) (+.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 b) (exp a)) (+.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 #s(literal 1 binary64) b))
#s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
#s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
#s(approx b b)
#s(approx (/ (sinh a) (+ (exp b) (exp a))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64)))
#s(approx (/ (sinh a) (+ (exp b) (exp a))) (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) b) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64))))
#s(approx (/ (sinh a) (+ (exp b) (exp a))) (fma.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) #s(literal -1/2 binary64))) b)) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) #s(literal 1/2 binary64))) b (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64))))
#s(approx (/ (sinh a) (+ (exp b) (exp a))) (fma.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 (+.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) #s(literal -1/4 binary64))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) b)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) #s(literal -1/2 binary64)))) b (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))) b (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 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 (exp.f64 (-.f64 a (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)))) #s(literal 1/6 binary64) (*.f64 (exp.f64 (-.f64 a (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64)))) #s(literal -1/2 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)) #s(literal 1/2 binary64))
#s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
#s(approx (/ 1 (- (exp b) -1)) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))
#s(approx (/ 1 (- (exp b) -1)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))
#s(approx (- (exp b) -1) #s(literal 2 binary64))
#s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))
#s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
#s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
#s(approx (+ (* 1/2 b) 1) (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)))
#s(approx (exp b) (exp.f64 b))
#s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))
#s(approx (+ (* -1/4 b) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/4 binary64)) b))
#s(approx (+ 1 b) (fma.f64 #s(literal 1 binary64) b #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 (+ (* -1/4 b) 1/2) (neg.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) b)) b)))

eval18.0ms (0.8%)

Memory
30.7MiB live, 30.7MiB allocated; 0ms collecting garbage
Compiler

Compiled 6 224 to 1 010 computations (83.8% saved)

prune10.0ms (0.4%)

Memory
13.4MiB live, 13.4MiB allocated; 0ms collecting garbage
Pruning

15 alts after pruning (10 fresh and 5 done)

PrunedKeptTotal
New1633166
Fresh077
Picked235
Done022
Total16515180
Accuracy
100.0%
Counts
180 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓68.1%
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
▶67.3%
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64))))
▶40.1%
(/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
40.4%
(+.f64 (/.f64 (cosh.f64 a) #s(approx (+ (exp b) (exp a)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 (sinh.f64 a) #s(approx (+ (exp b) (exp a)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
35.2%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (+.f64 b b)) (+.f64 (exp.f64 b) #s(literal -1 binary64)))))
✓80.6%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
✓57.6%
#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)))))
▶40.0%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
21.5%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))))
38.9%
#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))))
✓39.4%
#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))))
▶3.7%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
✓40.6%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
40.4%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
▶39.5%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (+.f64 (fma.f64 #s(literal 1/4 binary64) a (*.f64 #s(literal -1/4 binary64) b)) #s(literal 1/2 binary64))))
Compiler

Compiled 606 to 408 computations (32.7% saved)

series29.0ms (1.2%)

Memory
-35.6MiB live, 19.9MiB allocated; 6ms collecting garbage
Counts
30 → 63
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64))))
(exp.f64 a)
a
#s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64)))
#s(approx (- (exp a) -1) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b)))
#s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))
(*.f64 #s(literal -1/4 binary64) b)
#s(literal -1/4 binary64)
b
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)))
#s(literal 1 binary64)
#s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))
(+.f64 #s(literal 2 binary64) b)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (+.f64 (fma.f64 #s(literal 1/4 binary64) a (*.f64 #s(literal -1/4 binary64) b)) #s(literal 1/2 binary64))))
#s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (+.f64 (fma.f64 #s(literal 1/4 binary64) a (*.f64 #s(literal -1/4 binary64) b)) #s(literal 1/2 binary64)))
(+.f64 (fma.f64 #s(literal 1/4 binary64) a (*.f64 #s(literal -1/4 binary64) b)) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/4 binary64) a (*.f64 #s(literal -1/4 binary64) b))
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
(/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
#s(approx (exp a) (-.f64 a #s(literal -1 binary64)))
(-.f64 a #s(literal -1 binary64))
#s(literal -1 binary64)
(+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))
#s(approx (exp b) (+.f64 #s(literal 1 binary64) b))
(+.f64 #s(literal 1 binary64) 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) -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 (+ (+ (* 1/4 a) (* -1/4 b)) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (+ (+ (* 1/4 a) (* -1/4 b)) 1/2) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* 1/4 a)))))
#s(approx (+ (* 1/4 a) (* -1/4 b)) #s(hole binary64 (* -1/4 b)))
#s(approx (+ (* 1/4 a) (* -1/4 b)) #s(hole binary64 (+ (* -1/4 b) (* 1/4 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 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) #s(hole binary64 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))))
#s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) #s(hole binary64 (* a (- (+ (/ 1 (* a (+ 1 (exp b)))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2))))))
#s(approx (+ (+ (* 1/4 a) (* -1/4 b)) 1/2) #s(hole binary64 (* 1/4 a)))
#s(approx (+ (+ (* 1/4 a) (* -1/4 b)) 1/2) #s(hole binary64 (* a (+ 1/4 (+ (* -1/4 (/ b a)) (* 1/2 (/ 1 a)))))))
#s(approx (+ (* 1/4 a) (* -1/4 b)) #s(hole binary64 (* a (+ 1/4 (* -1/4 (/ b a))))))
#s(approx (- a -1) #s(hole binary64 (* a (+ 1 (/ 1 a)))))
#s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) #s(hole binary64 (* -1 (* a (- (* -1 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (* a (+ 1 (exp b)))))))))
#s(approx (+ (+ (* 1/4 a) (* -1/4 b)) 1/2) #s(hole binary64 (* -1 (* a (- (* -1 (/ (+ 1/2 (* -1/4 b)) a)) 1/4)))))
#s(approx (+ (* 1/4 a) (* -1/4 b)) #s(hole binary64 (* -1 (* a (- (* 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 (+ (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 (* 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 (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) #s(hole binary64 (+ 1/2 (* 1/4 a))))
#s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) #s(hole binary64 (+ 1/2 (+ (* 1/4 a) (* b (- (* -1/16 (* a b)) 1/4))))))
#s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) #s(hole binary64 (+ 1/2 (+ (* 1/4 a) (* b (- (* b (+ (* -1/16 a) (* 1/48 b))) 1/4))))))
#s(approx (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 (+ (* -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 (+ (+ (* 1/4 a) (* -1/4 b)) 1/2) #s(hole binary64 (* b (- (+ (* 1/4 (/ a b)) (* 1/2 (/ 1 b))) 1/4))))
#s(approx (+ (* 1/4 a) (* -1/4 b)) #s(hole binary64 (* b (- (* 1/4 (/ a b)) 1/4))))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (+ 1 b) #s(hole binary64 (* b (+ 1 (/ 1 b)))))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))))
#s(approx (+ (+ (* 1/4 a) (* -1/4 b)) 1/2) #s(hole binary64 (* -1 (* b (+ 1/4 (* -1 (/ (+ 1/2 (* 1/4 a)) b)))))))
#s(approx (+ (* 1/4 a) (* -1/4 b)) #s(hole binary64 (* -1 (* b (+ 1/4 (* -1/4 (/ a b)))))))
Calls

6 calls:

TimeVariablePointExpression
9.0ms
a
@0
((/ (exp a) (+ (exp a) (exp b))) (exp a) a (+ (exp a) (exp b)) (- (exp a) -1) 2 (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (+ (* -1/4 b) 1/2) (* -1/4 b) -1/4 b (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) 1 (- (exp b) -1) (+ 2 b) (/ (exp a) (+ (exp a) (exp b))) (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (+ (+ (* 1/4 a) (* -1/4 b)) 1/2) (+ (* 1/4 a) (* -1/4 b)) 1/4 1/2 (/ (exp a) (+ (exp a) (exp b))) (exp a) (- a -1) -1 (+ (exp a) (exp b)) (exp b) (+ 1 b))
9.0ms
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) -1/4 b (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) 1 (- (exp b) -1) (+ 2 b) (/ (exp a) (+ (exp a) (exp b))) (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (+ (+ (* 1/4 a) (* -1/4 b)) 1/2) (+ (* 1/4 a) (* -1/4 b)) 1/4 1/2 (/ (exp a) (+ (exp a) (exp b))) (exp a) (- a -1) -1 (+ (exp a) (exp b)) (exp b) (+ 1 b))
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) -1/4 b (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) 1 (- (exp b) -1) (+ 2 b) (/ (exp a) (+ (exp a) (exp b))) (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (+ (+ (* 1/4 a) (* -1/4 b)) 1/2) (+ (* 1/4 a) (* -1/4 b)) 1/4 1/2 (/ (exp a) (+ (exp a) (exp b))) (exp a) (- a -1) -1 (+ (exp a) (exp b)) (exp b) (+ 1 b))
2.0ms
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) -1/4 b (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) 1 (- (exp b) -1) (+ 2 b) (/ (exp a) (+ (exp a) (exp b))) (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (+ (+ (* 1/4 a) (* -1/4 b)) 1/2) (+ (* 1/4 a) (* -1/4 b)) 1/4 1/2 (/ (exp a) (+ (exp a) (exp b))) (exp a) (- a -1) -1 (+ (exp a) (exp b)) (exp b) (+ 1 b))
2.0ms
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) -1/4 b (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) 1 (- (exp b) -1) (+ 2 b) (/ (exp a) (+ (exp a) (exp b))) (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (+ (+ (* 1/4 a) (* -1/4 b)) 1/2) (+ (* 1/4 a) (* -1/4 b)) 1/4 1/2 (/ (exp a) (+ (exp a) (exp b))) (exp a) (- a -1) -1 (+ (exp a) (exp b)) (exp b) (+ 1 b))

rewrite158.0ms (6.5%)

Memory
36.6MiB live, 163.7MiB allocated; 24ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03151663
03271595
119341577
086871482
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
93 → 170
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64))))
(exp.f64 a)
a
#s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64)))
#s(approx (- (exp a) -1) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b)))
#s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))
(*.f64 #s(literal -1/4 binary64) b)
#s(literal -1/4 binary64)
b
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)))
#s(literal 1 binary64)
#s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))
(+.f64 #s(literal 2 binary64) b)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (+.f64 (fma.f64 #s(literal 1/4 binary64) a (*.f64 #s(literal -1/4 binary64) b)) #s(literal 1/2 binary64))))
#s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (+.f64 (fma.f64 #s(literal 1/4 binary64) a (*.f64 #s(literal -1/4 binary64) b)) #s(literal 1/2 binary64)))
(+.f64 (fma.f64 #s(literal 1/4 binary64) a (*.f64 #s(literal -1/4 binary64) b)) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/4 binary64) a (*.f64 #s(literal -1/4 binary64) b))
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
(/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
#s(approx (exp a) (-.f64 a #s(literal -1 binary64)))
(-.f64 a #s(literal -1 binary64))
#s(literal -1 binary64)
(+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))
#s(approx (exp b) (+.f64 #s(literal 1 binary64) b))
(+.f64 #s(literal 1 binary64) 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) -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 (+ (+ (* 1/4 a) (* -1/4 b)) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (+ (+ (* 1/4 a) (* -1/4 b)) 1/2) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* 1/4 a)))))
#s(approx (+ (* 1/4 a) (* -1/4 b)) #s(hole binary64 (* -1/4 b)))
#s(approx (+ (* 1/4 a) (* -1/4 b)) #s(hole binary64 (+ (* -1/4 b) (* 1/4 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 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) #s(hole binary64 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))))
#s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) #s(hole binary64 (* a (- (+ (/ 1 (* a (+ 1 (exp b)))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2))))))
#s(approx (+ (+ (* 1/4 a) (* -1/4 b)) 1/2) #s(hole binary64 (* 1/4 a)))
#s(approx (+ (+ (* 1/4 a) (* -1/4 b)) 1/2) #s(hole binary64 (* a (+ 1/4 (+ (* -1/4 (/ b a)) (* 1/2 (/ 1 a)))))))
#s(approx (+ (* 1/4 a) (* -1/4 b)) #s(hole binary64 (* a (+ 1/4 (* -1/4 (/ b a))))))
#s(approx (- a -1) #s(hole binary64 (* a (+ 1 (/ 1 a)))))
#s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) #s(hole binary64 (* -1 (* a (- (* -1 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (* a (+ 1 (exp b)))))))))
#s(approx (+ (+ (* 1/4 a) (* -1/4 b)) 1/2) #s(hole binary64 (* -1 (* a (- (* -1 (/ (+ 1/2 (* -1/4 b)) a)) 1/4)))))
#s(approx (+ (* 1/4 a) (* -1/4 b)) #s(hole binary64 (* -1 (* a (- (* 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 (+ (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 (* 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 (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) #s(hole binary64 (+ 1/2 (* 1/4 a))))
#s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) #s(hole binary64 (+ 1/2 (+ (* 1/4 a) (* b (- (* -1/16 (* a b)) 1/4))))))
#s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) #s(hole binary64 (+ 1/2 (+ (* 1/4 a) (* b (- (* b (+ (* -1/16 a) (* 1/48 b))) 1/4))))))
#s(approx (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 (+ (* -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 (+ (+ (* 1/4 a) (* -1/4 b)) 1/2) #s(hole binary64 (* b (- (+ (* 1/4 (/ a b)) (* 1/2 (/ 1 b))) 1/4))))
#s(approx (+ (* 1/4 a) (* -1/4 b)) #s(hole binary64 (* b (- (* 1/4 (/ a b)) 1/4))))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (+ 1 b) #s(hole binary64 (* b (+ 1 (/ 1 b)))))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))))
#s(approx (+ (+ (* 1/4 a) (* -1/4 b)) 1/2) #s(hole binary64 (* -1 (* b (+ 1/4 (* -1 (/ (+ 1/2 (* 1/4 a)) b)))))))
#s(approx (+ (* 1/4 a) (* -1/4 b)) #s(hole binary64 (* -1 (* b (+ 1/4 (* -1/4 (/ a b)))))))
Outputs
(/.f64 (neg.f64 (neg.f64 (exp.f64 a))) (neg.f64 (neg.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (exp.f64 a)) (neg.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64)))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64))))
(+.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)))))
(exp.f64 a)
(+.f64 (cosh.f64 a) (sinh.f64 a))
a
#s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64)))
#s(approx (- (exp a) -1) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b)))
#s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))
(*.f64 #s(literal -1/4 binary64) b)
(*.f64 b #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
b
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
(pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)))))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)))
(/.f64 #s(literal -1 binary64) (neg.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
(exp.f64 (*.f64 (log.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))) #s(literal -1 binary64)))
#s(literal 1 binary64)
#s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (*.f64 b b))) (neg.f64 (-.f64 #s(literal 2 binary64) b)))
(/.f64 (neg.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b b) b))) (neg.f64 (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 b b) (*.f64 #s(literal 2 binary64) b)))))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 b b)) (-.f64 #s(literal 2 binary64) b))
(/.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b b) b)) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 b b) (*.f64 #s(literal 2 binary64) b))))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) b)) (/.f64 (*.f64 b b) (-.f64 #s(literal 2 binary64) b)))
(+.f64 (/.f64 #s(literal 8 binary64) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 b b) (*.f64 #s(literal 2 binary64) b)))) (/.f64 (*.f64 (*.f64 b b) b) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 b b) (*.f64 #s(literal 2 binary64) b)))))
(+.f64 #s(literal 2 binary64) b)
(+.f64 b #s(literal 2 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (fma.f64 #s(literal 1/4 binary64) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
#s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (fma.f64 #s(literal 1/4 binary64) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) a (*.f64 #s(literal -1/4 binary64) b)) (fma.f64 #s(literal 1/4 binary64) a (*.f64 #s(literal -1/4 binary64) b))) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) a (*.f64 #s(literal -1/4 binary64) b)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 #s(literal 1/4 binary64) a (*.f64 #s(literal -1/4 binary64) b)) (fma.f64 #s(literal 1/4 binary64) a (*.f64 #s(literal -1/4 binary64) b))))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/4 binary64) a (*.f64 #s(literal -1/4 binary64) b)))))
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(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) b)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 #s(literal 1 binary64) b))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) b)) (/.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) b)))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 #s(literal 1 binary64) b)))) (/.f64 (*.f64 (*.f64 b b) b) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 #s(literal 1 binary64) b)))))
(+.f64 #s(literal 1 binary64) b)
(+.f64 b #s(literal 1 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (fma.f64 a (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -3 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)) #s(literal 3/2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (fma.f64 (-.f64 (+.f64 (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 (+ (+ (* 1/4 a) (* -1/4 b)) 1/2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
#s(approx (+ (+ (* 1/4 a) (* -1/4 b)) 1/2) (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) (* -1/4 b)) (*.f64 #s(literal -1/4 binary64) b))
#s(approx (+ (* 1/4 a) (* -1/4 b)) (fma.f64 #s(literal 1/4 binary64) a (*.f64 #s(literal -1/4 binary64) b)))
#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 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) a))
#s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) a))
#s(approx (+ (+ (* 1/4 a) (* -1/4 b)) 1/2) (*.f64 #s(literal 1/4 binary64) a))
#s(approx (+ (+ (* 1/4 a) (* -1/4 b)) 1/2) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a) #s(literal 1/4 binary64)) a))
#s(approx (+ (* 1/4 a) (* -1/4 b)) (*.f64 (fma.f64 (/.f64 b a) #s(literal -1/4 binary64) #s(literal 1/4 binary64)) a))
#s(approx (- a -1) (fma.f64 #s(literal 1 binary64) a #s(literal 1 binary64)))
#s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (neg.f64 (*.f64 (-.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) a))) a)))
#s(approx (+ (+ (* 1/4 a) (* -1/4 b)) 1/2) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a)) #s(literal 1/4 binary64)) a)))
#s(approx (+ (* 1/4 a) (* -1/4 b)) (neg.f64 (*.f64 (-.f64 (*.f64 (/.f64 b a) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) a)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (+.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 (-.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 (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))
#s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (+.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b a) #s(literal -1/16 binary64)) #s(literal 1/4 binary64)) b (*.f64 #s(literal 1/4 binary64) a)) #s(literal 1/2 binary64)))
#s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (+.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/16 binary64) a (*.f64 #s(literal 1/48 binary64) b)) b) #s(literal 1/4 binary64)) b (*.f64 #s(literal 1/4 binary64) a)) #s(literal 1/2 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 (+ (* -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 (+ (+ (* 1/4 a) (* -1/4 b)) 1/2) (*.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 (+ (* 1/4 a) (* -1/4 b)) (*.f64 (-.f64 (*.f64 (/.f64 a b) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) b))
#s(approx (exp b) (exp.f64 b))
#s(approx (+ 1 b) (fma.f64 #s(literal 1 binary64) b #s(literal 1 binary64)))
#s(approx (+ (* -1/4 b) 1/2) (neg.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) b)) b)))
#s(approx (+ (+ (* 1/4 a) (* -1/4 b)) 1/2) (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)))
#s(approx (+ (* 1/4 a) (* -1/4 b)) (neg.f64 (*.f64 (fma.f64 (/.f64 a b) #s(literal -1/4 binary64) #s(literal 1/4 binary64)) b)))

eval21.0ms (0.9%)

Memory
-30.1MiB live, 29.8MiB allocated; 7ms collecting garbage
Compiler

Compiled 5 974 to 787 computations (86.8% saved)

prune11.0ms (0.5%)

Memory
14.9MiB live, 14.9MiB allocated; 0ms collecting garbage
Pruning

16 alts after pruning (8 fresh and 8 done)

PrunedKeptTotal
New1393142
Fresh055
Picked145
Done145
Total14116157
Accuracy
100.0%
Counts
157 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓68.1%
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
✓67.3%
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64))))
✓40.1%
(/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
40.2%
(/.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))))
40.4%
(+.f64 (/.f64 (cosh.f64 a) #s(approx (+ (exp b) (exp a)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 (sinh.f64 a) #s(approx (+ (exp b) (exp a)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
35.2%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (+.f64 b b)) (+.f64 (exp.f64 b) #s(literal -1 binary64)))))
✓80.6%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
✓40.0%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
21.5%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))))
38.9%
#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))))
✓39.4%
#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))))
✓3.7%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
✓40.6%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
39.5%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (fma.f64 a #s(literal 1/4 binary64) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
40.4%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
3.7%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) #s(approx (+ (+ (* 1/4 a) (* -1/4 b)) 1/2) (*.f64 #s(literal 1/4 binary64) a))))
Compiler

Compiled 945 to 397 computations (58% saved)

regimes54.0ms (2.2%)

Memory
-13.5MiB live, 32.6MiB allocated; 4ms collecting garbage
Counts
24 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) #s(approx (+ (+ (* 1/4 a) (* -1/4 b)) 1/2) (*.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)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) #s(literal -1 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)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -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 (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (+.f64 (fma.f64 #s(literal 1/4 binary64) a (*.f64 #s(literal -1/4 binary64) b)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 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))))
(/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
#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))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (+.f64 b b)) (+.f64 (exp.f64 b) #s(literal -1 binary64)))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(+.f64 (/.f64 (cosh.f64 a) #s(approx (+ (exp b) (exp a)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 (sinh.f64 a) #s(approx (+ (exp b) (exp a)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(/.f64 (exp.f64 a) (/.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a))) (-.f64 (exp.f64 b) (exp.f64 a))))
#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)))))
(+.f64 (/.f64 (cosh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) (/.f64 (sinh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))))
Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Calls

5 calls:

32.0ms
a
7.0ms
b
5.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
5.0ms
(exp.f64 b)
5.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
99.2%1(exp.f64 b)
99.2%1(exp.f64 a)
99.2%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
99.2%1a
99.2%1b
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes25.0ms (1%)

Memory
-5.5MiB live, 40.4MiB allocated; 2ms collecting garbage
Counts
19 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) #s(approx (+ (+ (* 1/4 a) (* -1/4 b)) 1/2) (*.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)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) #s(literal -1 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)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -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 (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (+.f64 (fma.f64 #s(literal 1/4 binary64) a (*.f64 #s(literal -1/4 binary64) b)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 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))))
(/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
#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))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (+.f64 b b)) (+.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))))
(/.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:

6.0ms
b
5.0ms
a
5.0ms
(exp.f64 a)
4.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
99.9%3(exp.f64 b)
99.0%2(exp.f64 a)
80.9%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
99.0%2a
99.9%3b
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes9.0ms (0.4%)

Memory
17.9MiB live, 17.9MiB allocated; 0ms collecting garbage
Counts
16 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) #s(approx (+ (+ (* 1/4 a) (* -1/4 b)) 1/2) (*.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)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) #s(literal -1 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)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -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 (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (+.f64 (fma.f64 #s(literal 1/4 binary64) a (*.f64 #s(literal -1/4 binary64) b)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 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))))
(/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
#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:

5.0ms
a
3.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
98.8%2(exp.f64 a)
98.8%2a
Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes22.0ms (0.9%)

Memory
-8.0MiB live, 38.0MiB allocated; 3ms collecting garbage
Counts
15 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) #s(approx (+ (+ (* 1/4 a) (* -1/4 b)) 1/2) (*.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)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) #s(literal -1 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)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -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 (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (+.f64 (fma.f64 #s(literal 1/4 binary64) a (*.f64 #s(literal -1/4 binary64) b)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 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))))
(/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
Outputs
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))))
Calls

5 calls:

7.0ms
b
4.0ms
a
3.0ms
(exp.f64 b)
3.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
3.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
67.3%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
77.2%2(exp.f64 b)
79.9%2b
79.1%2(exp.f64 a)
79.1%2a
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes45.0ms (1.9%)

Memory
-20.9MiB live, 28.9MiB allocated; 6ms collecting garbage
Counts
13 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) #s(approx (+ (+ (* 1/4 a) (* -1/4 b)) 1/2) (*.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)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) #s(literal -1 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)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -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 (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (+.f64 (fma.f64 #s(literal 1/4 binary64) a (*.f64 #s(literal -1/4 binary64) b)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 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))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
Calls

5 calls:

4.0ms
b
4.0ms
a
3.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
3.0ms
(exp.f64 b)
3.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
59.6%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
59.6%2(exp.f64 b)
57.6%1(exp.f64 a)
57.6%1a
59.6%2b
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes15.0ms (0.6%)

Memory
19.2MiB live, 19.2MiB allocated; 0ms collecting garbage
Counts
11 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) #s(approx (+ (+ (* 1/4 a) (* -1/4 b)) 1/2) (*.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)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) #s(literal -1 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)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -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 (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (+.f64 (fma.f64 #s(literal 1/4 binary64) a (*.f64 #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(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))))
Calls

5 calls:

3.0ms
b
3.0ms
a
3.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
3.0ms
(exp.f64 b)
2.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
46.5%2a
46.5%2(exp.f64 a)
58.6%2(exp.f64 b)
58.6%2b
58.5%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes12.0ms (0.5%)

Memory
15.8MiB live, 15.8MiB allocated; 0ms collecting garbage
Counts
8 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) #s(approx (+ (+ (* 1/4 a) (* -1/4 b)) 1/2) (*.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)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) #s(literal -1 binary64))))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
Calls

5 calls:

3.0ms
b
3.0ms
a
2.0ms
(exp.f64 b)
2.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
2.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
40.6%1(exp.f64 a)
40.6%1a
42.2%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
42.2%2(exp.f64 b)
42.2%2b
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes7.0ms (0.3%)

Memory
9.6MiB live, 9.6MiB allocated; 0ms collecting garbage
Accuracy

Total -24.4b remaining (-64.1%)

Threshold costs -24.4b (-64.1%)

Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) #s(approx (+ (+ (* 1/4 a) (* -1/4 b)) 1/2) (*.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)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
Calls

4 calls:

2.0ms
b
1.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms
(exp.f64 b)
1.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
40.6%1(exp.f64 a)
40.6%1(exp.f64 b)
40.6%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
40.6%1b
Compiler

Compiled 13 to 14 computations (-7.7% saved)

bsearch23.0ms (1%)

Memory
-31.9MiB live, 14.9MiB allocated; 1ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
22.0ms
-15663471.430508498
-11.525202076034727
Samples
6.0ms144×0valid
Compiler

Compiled 290 to 218 computations (24.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-exp: 2.0ms (58.9% of total)
ival-div!: 1.0ms (29.4% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)

bsearch15.0ms (0.6%)

Memory
22.2MiB live, 22.2MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
14.0ms
-1.4919763555168762e+23
-5760008268776.413
Samples
6.0ms160×0valid
1.0ms19×0exit
Compiler

Compiled 311 to 271 computations (12.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-exp: 2.0ms (54.7% of total)
ival-div!: 1.0ms (27.4% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)

bsearch8.0ms (0.3%)

Memory
11.4MiB live, 11.4MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
7.0ms
2.7840398580970124e+139
1.5892279017126604e+140
Samples
4.0ms96×0valid
Compiler

Compiled 287 to 233 computations (18.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-exp: 1.0ms (52.2% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)
ival-div!: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.5000014252453479
0.9999999999999992
Compiler

Compiled 11 to 11 computations (0% saved)

bsearch19.0ms (0.8%)

Memory
-24.0MiB live, 19.4MiB allocated; 7ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
18.0ms
0.15100528259613463
27693842544312628.0
Samples
12.0ms160×0valid
Compiler

Compiled 491 to 391 computations (20.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-exp: 3.0ms (79.2% of total)
ival-div!: 1.0ms (26.4% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)

bsearch14.0ms (0.6%)

Memory
20.5MiB live, 20.5MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
13.0ms
-460188467.91786623
-5.700981389201838e-6
Samples
7.0ms160×0valid
Compiler

Compiled 371 to 301 computations (18.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-exp: 3.0ms (80.2% of total)
ival-div!: 1.0ms (26.7% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)

derivations205.0ms (8.5%)

Memory
-6.8MiB live, 184.1MiB allocated; 34ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 287 to 69 computations (76% saved)

preprocess86.0ms (3.5%)

Memory
-20.9MiB live, 117.1MiB allocated; 18ms collecting garbage
Compiler

Compiled 303 to 82 computations (72.9% saved)

end0.0ms (0%)

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

Profiling

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