Quotient of sum of exps

Time bar (total: 2.8s)

start0.0ms (0%)

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

analyze5.0ms (0.2%)

Memory
5.6MiB live, 5.6MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
50%50%50%0.1%0%0%0%2
75%74.9%25%0.1%0%0%0%3
87.5%87.4%12.5%0.1%0%0%0%4
93.8%93.7%6.2%0.1%0%0%0%5
93.8%93.7%6.2%0.1%0%0%0%6
95.2%93.7%4.7%0.1%0%1.6%0%7
96%93.7%3.9%0.1%0%2.3%0%8
97.2%93.7%2.7%0.1%0%3.5%0%9
97.8%93.7%2.1%0.1%0%4.1%0%10
98.5%93.7%1.5%0.1%0%4.8%0%11
98.8%93.7%1.1%0.1%0%5.1%0%12
Compiler

Compiled 10 to 8 computations (20% saved)

sample939.0ms (33.3%)

Memory
57.3MiB live, 1 140.4MiB allocated; 255ms collecting garbage
Samples
351.0ms8 256×0valid
142.0ms3 024×0exit
Precisions
Click to see histograms. Total time spent on operations: 266.0ms
ival-exp: 179.0ms (67.3% of total)
ival-div!: 49.0ms (18.4% of total)
ival-add!: 36.0ms (13.5% of total)
adjust: 2.0ms (0.8% of total)
Bogosity

preprocess33.0ms (1.2%)

Memory
0.7MiB live, 45.1MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

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

Compiled 14 to 12 computations (14.3% saved)

series11.0ms (0.4%)

Memory
-36.6MiB live, 8.8MiB 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
5.0ms
b
@0
((/ (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
a
@-inf
((/ (exp a) (+ (exp a) (exp b))) (exp a) a (+ (exp a) (exp b)) (exp b) b)
1.0ms
a
@inf
((/ (exp a) (+ (exp a) (exp b))) (exp a) a (+ (exp a) (exp b)) (exp b) b)
1.0ms
b
@-inf
((/ (exp a) (+ (exp a) (exp b))) (exp a) a (+ (exp a) (exp b)) (exp b) b)

rewrite157.0ms (5.6%)

Memory
21.9MiB live, 205.0MiB allocated; 28ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0153726
0157689
11025680
08029635
Stop Event
iter-limit
node-limit
iter-limit
Counts
35 → 53
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(exp.f64 a)
a
(+.f64 (exp.f64 a) (exp.f64 b))
(exp.f64 b)
b
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (exp a) #s(hole binary64 1))
#s(approx (exp a) #s(hole binary64 (+ 1 a)))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx a #s(hole binary64 a))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ (exp a) (exp b)))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (exp b) #s(hole binary64 (+ 1 b)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx b #s(hole binary64 b))
#s(approx (exp b) #s(hole binary64 (exp b)))
Outputs
(/.f64 (neg.f64 (neg.f64 (exp.f64 a))) (neg.f64 (neg.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(/.f64 (neg.f64 (exp.f64 a)) (neg.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(+.f64 (/.f64 (cosh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) (/.f64 (sinh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))))
(/.f64 (-.f64 (*.f64 (cosh.f64 a) (cosh.f64 a)) (*.f64 (sinh.f64 a) (sinh.f64 a))) (-.f64 (cosh.f64 a) (sinh.f64 a)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 a) #s(literal 3 binary64)) (pow.f64 (sinh.f64 a) #s(literal 3 binary64))) (fma.f64 (cosh.f64 a) (cosh.f64 a) (-.f64 (*.f64 (sinh.f64 a) (sinh.f64 a)) (*.f64 (cosh.f64 a) (sinh.f64 a)))))
(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
7.4MiB live, 7.4MiB allocated; 0ms collecting garbage
Compiler

Compiled 685 to 260 computations (62% saved)

prune5.0ms (0.2%)

Memory
7.0MiB live, 7.0MiB allocated; 0ms collecting garbage
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New40848
Fresh000
Picked101
Done000
Total41849
Accuracy
99.9%
Counts
49 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.7%
(/.f64 (+.f64 (cosh.f64 a) (sinh.f64 a)) (+.f64 (+.f64 (cosh.f64 a) (sinh.f64 a)) (exp.f64 b)))
69.5%
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
74.0%
(/.f64 #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))) (+.f64 #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))) (exp.f64 b)))
75.5%
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (exp.f64 b)))
81.9%
(/.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)))
81.6%
#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)))))
81.2%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
67.5%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (neg.f64 (*.f64 b (exp.f64 (-.f64 a (*.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)))))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
Compiler

Compiled 250 to 196 computations (21.6% saved)

series129.0ms (4.6%)

Memory
-25.6MiB live, 164.7MiB allocated; 19ms collecting garbage
Counts
35 → 108
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 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (exp.f64 b)))
#s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64))
#s(literal 1/2 binary64)
(+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (exp.f64 b))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (neg.f64 (*.f64 b (exp.f64 (-.f64 a (*.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)))))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
(+.f64 (neg.f64 (*.f64 b (exp.f64 (-.f64 a (*.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)))))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(neg.f64 (*.f64 b (exp.f64 (-.f64 a (*.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64))))))
(*.f64 b (exp.f64 (-.f64 a (*.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)))))
(exp.f64 (-.f64 a (*.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64))))
(-.f64 a (*.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)))
(*.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64))
(log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)))
(-.f64 (exp.f64 a) #s(literal -1 binary64))
(exp.f64 a)
#s(literal 2 binary64)
(/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64)))
(pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))
#s(literal -2 binary64)
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 (+ (* 1/2 a) 1) #s(hole binary64 (+ 1 (* 1/2 a))))
#s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (- 1/2 (* b (exp (neg (* 2 (log 2))))))))
#s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (- (+ 1/2 (* 1/4 a)) (* b (exp (neg (* 2 (log 2))))))))
#s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (- (+ 1/2 (* a (+ 1/4 (* 1/4 (* a (* b (exp (neg (* 2 (log 2)))))))))) (* b (exp (neg (* 2 (log 2))))))))
#s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (- (+ 1/2 (* a (+ 1/4 (* a (- (* -1/48 a) (* -1/4 (* b (exp (neg (* 2 (log 2))))))))))) (* b (exp (neg (* 2 (log 2))))))))
#s(approx (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) #s(hole binary64 (* -1 (* b (exp (neg (* 2 (log 2))))))))
#s(approx (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) #s(hole binary64 (- (* 1/4 (* (pow a 2) (* b (exp (neg (* 2 (log 2))))))) (* b (exp (neg (* 2 (log 2))))))))
#s(approx (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) #s(hole binary64 (- (* (pow a 2) (- (* -1/24 (* (pow a 2) (* b (exp (neg (* 2 (log 2))))))) (* -1/4 (* b (exp (neg (* 2 (log 2)))))))) (* b (exp (neg (* 2 (log 2))))))))
#s(approx (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) #s(hole binary64 (- (* (pow a 2) (- (* (pow a 2) (- (* 17/2880 (* (pow a 2) (* b (exp (neg (* 2 (log 2))))))) (* 1/24 (* b (exp (neg (* 2 (log 2)))))))) (* -1/4 (* b (exp (neg (* 2 (log 2)))))))) (* b (exp (neg (* 2 (log 2))))))))
#s(approx (* b (exp (- a (* (log (- (exp a) -1)) 2)))) #s(hole binary64 (* b (exp (neg (* 2 (log 2)))))))
#s(approx (* b (exp (- a (* (log (- (exp a) -1)) 2)))) #s(hole binary64 (+ (* -1/4 (* (pow a 2) (* b (exp (neg (* 2 (log 2))))))) (* b (exp (neg (* 2 (log 2))))))))
#s(approx (* b (exp (- a (* (log (- (exp a) -1)) 2)))) #s(hole binary64 (+ (* b (exp (neg (* 2 (log 2))))) (* (pow a 2) (+ (* -1/4 (* b (exp (neg (* 2 (log 2)))))) (* 1/24 (* (pow a 2) (* b (exp (neg (* 2 (log 2))))))))))))
#s(approx (* b (exp (- a (* (log (- (exp a) -1)) 2)))) #s(hole binary64 (+ (* b (exp (neg (* 2 (log 2))))) (* (pow a 2) (+ (* -1/4 (* b (exp (neg (* 2 (log 2)))))) (* (pow a 2) (+ (* -17/2880 (* (pow a 2) (* b (exp (neg (* 2 (log 2))))))) (* 1/24 (* b (exp (neg (* 2 (log 2)))))))))))))
#s(approx (exp (- a (* (log (- (exp a) -1)) 2))) #s(hole binary64 (exp (neg (* 2 (log 2))))))
#s(approx (exp (- a (* (log (- (exp a) -1)) 2))) #s(hole binary64 (+ (exp (neg (* 2 (log 2)))) (* -1/4 (* (pow a 2) (exp (neg (* 2 (log 2)))))))))
#s(approx (exp (- a (* (log (- (exp a) -1)) 2))) #s(hole binary64 (+ (exp (neg (* 2 (log 2)))) (* (pow a 2) (+ (* -1/4 (exp (neg (* 2 (log 2))))) (* 1/24 (* (pow a 2) (exp (neg (* 2 (log 2)))))))))))
#s(approx (exp (- a (* (log (- (exp a) -1)) 2))) #s(hole binary64 (+ (exp (neg (* 2 (log 2)))) (* (pow a 2) (+ (* -1/4 (exp (neg (* 2 (log 2))))) (* (pow a 2) (+ (* -17/2880 (* (pow a 2) (exp (neg (* 2 (log 2)))))) (* 1/24 (exp (neg (* 2 (log 2))))))))))))
#s(approx (- a (* (log (- (exp a) -1)) 2)) #s(hole binary64 (* -2 (log 2))))
#s(approx (- a (* (log (- (exp a) -1)) 2)) #s(hole binary64 (- (* -1/4 (pow a 2)) (* 2 (log 2)))))
#s(approx (- a (* (log (- (exp a) -1)) 2)) #s(hole binary64 (- (* (pow a 2) (- (* 1/96 (pow a 2)) 1/4)) (* 2 (log 2)))))
#s(approx (- a (* (log (- (exp a) -1)) 2)) #s(hole binary64 (- (* (pow a 2) (- (* (pow a 2) (+ 1/96 (* -1/1440 (pow a 2)))) 1/4)) (* 2 (log 2)))))
#s(approx (* (log (- (exp a) -1)) 2) #s(hole binary64 (* 2 (log 2))))
#s(approx (* (log (- (exp a) -1)) 2) #s(hole binary64 (+ a (* 2 (log 2)))))
#s(approx (* (log (- (exp a) -1)) 2) #s(hole binary64 (+ (* 2 (log 2)) (* a (+ 1 (* 1/4 a))))))
#s(approx (* (log (- (exp a) -1)) 2) #s(hole binary64 (+ (* 2 (log 2)) (* a (+ 1 (* a (+ 1/4 (* -1/96 (pow a 2)))))))))
#s(approx (log (- (exp a) -1)) #s(hole binary64 (log 2)))
#s(approx (log (- (exp a) -1)) #s(hole binary64 (+ (log 2) (* 1/2 a))))
#s(approx (log (- (exp a) -1)) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* 1/8 a))))))
#s(approx (log (- (exp a) -1)) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))))
#s(approx (- (exp a) -1) #s(hole binary64 2))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 a)))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 (* a (+ 1 (* 1/2 a))))))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (/ (exp a) (- (exp a) -1)) #s(hole binary64 1/2))
#s(approx (/ (exp a) (- (exp a) -1)) #s(hole binary64 (+ 1/2 (* 1/4 a))))
#s(approx (/ (exp a) (- (exp a) -1)) #s(hole binary64 (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))))
#s(approx (/ (exp a) (- (exp a) -1)) #s(hole binary64 (+ 1/2 (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))))))
#s(approx (/ (exp a) (+ (exp 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 (+ (* (+ (* 1/2 a) 1) a) 1) #s(hole binary64 (* 1/2 (pow a 2))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) 1) #s(hole binary64 (* (pow a 2) (+ 1/2 (/ 1 a)))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) 1) #s(hole binary64 (* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))))
#s(approx (+ (* 1/2 a) 1) #s(hole binary64 (* 1/2 a)))
#s(approx (+ (* 1/2 a) 1) #s(hole binary64 (* a (+ 1/2 (/ 1 a)))))
#s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (- (/ (exp a) (+ 1 (exp a))) (* b (exp (- a (* 2 (log (+ 1 (exp a))))))))))
#s(approx (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) #s(hole binary64 (* -1 (* b (exp (- a (* 2 (log (+ 1 (exp a))))))))))
#s(approx (* b (exp (- a (* (log (- (exp a) -1)) 2)))) #s(hole binary64 (* b (exp (- a (* 2 (log (+ 1 (exp a)))))))))
#s(approx (exp (- a (* (log (- (exp a) -1)) 2))) #s(hole binary64 (exp (- a (* 2 (log (+ 1 (exp a))))))))
#s(approx (- a (* (log (- (exp a) -1)) 2)) #s(hole binary64 (* a (+ 1 (* -2 (/ (log (+ 1 (exp a))) a))))))
#s(approx (* (log (- (exp a) -1)) 2) #s(hole binary64 (* 2 (log (+ 1 (exp a))))))
#s(approx (log (- (exp a) -1)) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 1 (exp a))))
#s(approx (/ (exp a) (- (exp a) -1)) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) #s(hole binary64 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))))
#s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) #s(hole binary64 (* a (- (+ (/ 1 (* a (+ 1 (exp b)))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2))))))
#s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (- (/ (exp a) (+ 1 (exp a))) (* b (exp (neg (+ (* -1 a) (* 2 (log (+ 1 (exp a)))))))))))
#s(approx (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) #s(hole binary64 (* -1 (* b (exp (neg (+ (* -1 a) (* 2 (log (+ 1 (exp a)))))))))))
#s(approx (* b (exp (- a (* (log (- (exp a) -1)) 2)))) #s(hole binary64 (* b (exp (neg (+ (* -1 a) (* 2 (log (+ 1 (exp a))))))))))
#s(approx (exp (- a (* (log (- (exp a) -1)) 2))) #s(hole binary64 (exp (neg (+ (* -1 a) (* 2 (log (+ 1 (exp a)))))))))
#s(approx (- a (* (log (- (exp a) -1)) 2)) #s(hole binary64 (* -1 (* a (- (* 2 (/ (log (+ 1 (exp a))) a)) 1)))))
#s(approx (+ (* (- (/ 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 (+ (* -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 (* -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 (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ (* -1 (* b (exp (- a (* 2 (log (+ 1 (exp a)))))))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (+ (* (- (/ 1 (- (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 (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* b (- (/ (exp a) (* b (+ 1 (exp a)))) (exp (- a (* 2 (log (+ 1 (exp a))))))))))
#s(approx (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) #s(hole binary64 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))
#s(approx (pow (- (exp b) -1) -2) #s(hole binary64 (/ 1 (pow (+ 1 (exp b)) 2))))
#s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (* -1 (exp (- a (* 2 (log (+ 1 (exp a))))))))))))
Calls

6 calls:

TimeVariablePointExpression
42.0ms
b
@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) (+ (* (+ (* 1/2 a) 1) a) 1) (+ (* 1/2 a) 1) 1/2 (+ (exp a) (exp b)) (/ (exp a) (+ (exp a) (exp b))) (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (* b (exp (- a (* (log (- (exp a) -1)) 2)))) (exp (- a (* (log (- (exp a) -1)) 2))) (- a (* (log (- (exp a) -1)) 2)) (* (log (- (exp a) -1)) 2) (log (- (exp a) -1)) (- (exp a) -1) (exp a) 2 (/ (exp a) (- (exp a) -1)) (/ (exp a) (+ (exp a) (exp b))) (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) (pow (- (exp b) -1) -2) -2)
31.0ms
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) (+ (* (+ (* 1/2 a) 1) a) 1) (+ (* 1/2 a) 1) 1/2 (+ (exp a) (exp b)) (/ (exp a) (+ (exp a) (exp b))) (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (* b (exp (- a (* (log (- (exp a) -1)) 2)))) (exp (- a (* (log (- (exp a) -1)) 2))) (- a (* (log (- (exp a) -1)) 2)) (* (log (- (exp a) -1)) 2) (log (- (exp a) -1)) (- (exp a) -1) (exp a) 2 (/ (exp a) (- (exp a) -1)) (/ (exp a) (+ (exp a) (exp b))) (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) (pow (- (exp b) -1) -2) -2)
27.0ms
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) (+ (* (+ (* 1/2 a) 1) a) 1) (+ (* 1/2 a) 1) 1/2 (+ (exp a) (exp b)) (/ (exp a) (+ (exp a) (exp b))) (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (* b (exp (- a (* (log (- (exp a) -1)) 2)))) (exp (- a (* (log (- (exp a) -1)) 2))) (- a (* (log (- (exp a) -1)) 2)) (* (log (- (exp a) -1)) 2) (log (- (exp a) -1)) (- (exp a) -1) (exp a) 2 (/ (exp a) (- (exp a) -1)) (/ (exp a) (+ (exp a) (exp b))) (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) (pow (- (exp b) -1) -2) -2)
10.0ms
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) (+ (* (+ (* 1/2 a) 1) a) 1) (+ (* 1/2 a) 1) 1/2 (+ (exp a) (exp b)) (/ (exp a) (+ (exp a) (exp b))) (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (* b (exp (- a (* (log (- (exp a) -1)) 2)))) (exp (- a (* (log (- (exp a) -1)) 2))) (- a (* (log (- (exp a) -1)) 2)) (* (log (- (exp a) -1)) 2) (log (- (exp a) -1)) (- (exp a) -1) (exp a) 2 (/ (exp a) (- (exp a) -1)) (/ (exp a) (+ (exp a) (exp b))) (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) (pow (- (exp b) -1) -2) -2)
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) (+ (* (+ (* 1/2 a) 1) a) 1) (+ (* 1/2 a) 1) 1/2 (+ (exp a) (exp b)) (/ (exp a) (+ (exp a) (exp b))) (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (* b (exp (- a (* (log (- (exp a) -1)) 2)))) (exp (- a (* (log (- (exp a) -1)) 2))) (- a (* (log (- (exp a) -1)) 2)) (* (log (- (exp a) -1)) 2) (log (- (exp a) -1)) (- (exp a) -1) (exp a) 2 (/ (exp a) (- (exp a) -1)) (/ (exp a) (+ (exp a) (exp b))) (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) (pow (- (exp b) -1) -2) -2)

rewrite164.0ms (5.8%)

Memory
13.2MiB live, 197.7MiB allocated; 21ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05133105
05642903
131872789
083602637
Stop Event
iter-limit
node-limit
iter-limit
Counts
143 → 254
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 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (exp.f64 b)))
#s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64))
#s(literal 1/2 binary64)
(+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (exp.f64 b))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (neg.f64 (*.f64 b (exp.f64 (-.f64 a (*.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)))))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
(+.f64 (neg.f64 (*.f64 b (exp.f64 (-.f64 a (*.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)))))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(neg.f64 (*.f64 b (exp.f64 (-.f64 a (*.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64))))))
(*.f64 b (exp.f64 (-.f64 a (*.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)))))
(exp.f64 (-.f64 a (*.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64))))
(-.f64 a (*.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)))
(*.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64))
(log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)))
(-.f64 (exp.f64 a) #s(literal -1 binary64))
(exp.f64 a)
#s(literal 2 binary64)
(/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64)))
(pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))
#s(literal -2 binary64)
#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 (+ (* 1/2 a) 1) #s(hole binary64 (+ 1 (* 1/2 a))))
#s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (- 1/2 (* b (exp (neg (* 2 (log 2))))))))
#s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (- (+ 1/2 (* 1/4 a)) (* b (exp (neg (* 2 (log 2))))))))
#s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (- (+ 1/2 (* a (+ 1/4 (* 1/4 (* a (* b (exp (neg (* 2 (log 2)))))))))) (* b (exp (neg (* 2 (log 2))))))))
#s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (- (+ 1/2 (* a (+ 1/4 (* a (- (* -1/48 a) (* -1/4 (* b (exp (neg (* 2 (log 2))))))))))) (* b (exp (neg (* 2 (log 2))))))))
#s(approx (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) #s(hole binary64 (* -1 (* b (exp (neg (* 2 (log 2))))))))
#s(approx (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) #s(hole binary64 (- (* 1/4 (* (pow a 2) (* b (exp (neg (* 2 (log 2))))))) (* b (exp (neg (* 2 (log 2))))))))
#s(approx (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) #s(hole binary64 (- (* (pow a 2) (- (* -1/24 (* (pow a 2) (* b (exp (neg (* 2 (log 2))))))) (* -1/4 (* b (exp (neg (* 2 (log 2)))))))) (* b (exp (neg (* 2 (log 2))))))))
#s(approx (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) #s(hole binary64 (- (* (pow a 2) (- (* (pow a 2) (- (* 17/2880 (* (pow a 2) (* b (exp (neg (* 2 (log 2))))))) (* 1/24 (* b (exp (neg (* 2 (log 2)))))))) (* -1/4 (* b (exp (neg (* 2 (log 2)))))))) (* b (exp (neg (* 2 (log 2))))))))
#s(approx (* b (exp (- a (* (log (- (exp a) -1)) 2)))) #s(hole binary64 (* b (exp (neg (* 2 (log 2)))))))
#s(approx (* b (exp (- a (* (log (- (exp a) -1)) 2)))) #s(hole binary64 (+ (* -1/4 (* (pow a 2) (* b (exp (neg (* 2 (log 2))))))) (* b (exp (neg (* 2 (log 2))))))))
#s(approx (* b (exp (- a (* (log (- (exp a) -1)) 2)))) #s(hole binary64 (+ (* b (exp (neg (* 2 (log 2))))) (* (pow a 2) (+ (* -1/4 (* b (exp (neg (* 2 (log 2)))))) (* 1/24 (* (pow a 2) (* b (exp (neg (* 2 (log 2))))))))))))
#s(approx (* b (exp (- a (* (log (- (exp a) -1)) 2)))) #s(hole binary64 (+ (* b (exp (neg (* 2 (log 2))))) (* (pow a 2) (+ (* -1/4 (* b (exp (neg (* 2 (log 2)))))) (* (pow a 2) (+ (* -17/2880 (* (pow a 2) (* b (exp (neg (* 2 (log 2))))))) (* 1/24 (* b (exp (neg (* 2 (log 2)))))))))))))
#s(approx (exp (- a (* (log (- (exp a) -1)) 2))) #s(hole binary64 (exp (neg (* 2 (log 2))))))
#s(approx (exp (- a (* (log (- (exp a) -1)) 2))) #s(hole binary64 (+ (exp (neg (* 2 (log 2)))) (* -1/4 (* (pow a 2) (exp (neg (* 2 (log 2)))))))))
#s(approx (exp (- a (* (log (- (exp a) -1)) 2))) #s(hole binary64 (+ (exp (neg (* 2 (log 2)))) (* (pow a 2) (+ (* -1/4 (exp (neg (* 2 (log 2))))) (* 1/24 (* (pow a 2) (exp (neg (* 2 (log 2)))))))))))
#s(approx (exp (- a (* (log (- (exp a) -1)) 2))) #s(hole binary64 (+ (exp (neg (* 2 (log 2)))) (* (pow a 2) (+ (* -1/4 (exp (neg (* 2 (log 2))))) (* (pow a 2) (+ (* -17/2880 (* (pow a 2) (exp (neg (* 2 (log 2)))))) (* 1/24 (exp (neg (* 2 (log 2))))))))))))
#s(approx (- a (* (log (- (exp a) -1)) 2)) #s(hole binary64 (* -2 (log 2))))
#s(approx (- a (* (log (- (exp a) -1)) 2)) #s(hole binary64 (- (* -1/4 (pow a 2)) (* 2 (log 2)))))
#s(approx (- a (* (log (- (exp a) -1)) 2)) #s(hole binary64 (- (* (pow a 2) (- (* 1/96 (pow a 2)) 1/4)) (* 2 (log 2)))))
#s(approx (- a (* (log (- (exp a) -1)) 2)) #s(hole binary64 (- (* (pow a 2) (- (* (pow a 2) (+ 1/96 (* -1/1440 (pow a 2)))) 1/4)) (* 2 (log 2)))))
#s(approx (* (log (- (exp a) -1)) 2) #s(hole binary64 (* 2 (log 2))))
#s(approx (* (log (- (exp a) -1)) 2) #s(hole binary64 (+ a (* 2 (log 2)))))
#s(approx (* (log (- (exp a) -1)) 2) #s(hole binary64 (+ (* 2 (log 2)) (* a (+ 1 (* 1/4 a))))))
#s(approx (* (log (- (exp a) -1)) 2) #s(hole binary64 (+ (* 2 (log 2)) (* a (+ 1 (* a (+ 1/4 (* -1/96 (pow a 2)))))))))
#s(approx (log (- (exp a) -1)) #s(hole binary64 (log 2)))
#s(approx (log (- (exp a) -1)) #s(hole binary64 (+ (log 2) (* 1/2 a))))
#s(approx (log (- (exp a) -1)) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* 1/8 a))))))
#s(approx (log (- (exp a) -1)) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))))
#s(approx (- (exp a) -1) #s(hole binary64 2))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 a)))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 (* a (+ 1 (* 1/2 a))))))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (/ (exp a) (- (exp a) -1)) #s(hole binary64 1/2))
#s(approx (/ (exp a) (- (exp a) -1)) #s(hole binary64 (+ 1/2 (* 1/4 a))))
#s(approx (/ (exp a) (- (exp a) -1)) #s(hole binary64 (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))))
#s(approx (/ (exp a) (- (exp a) -1)) #s(hole binary64 (+ 1/2 (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))))))
#s(approx (/ (exp a) (+ (exp 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 (+ (* (+ (* 1/2 a) 1) a) 1) #s(hole binary64 (* 1/2 (pow a 2))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) 1) #s(hole binary64 (* (pow a 2) (+ 1/2 (/ 1 a)))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) 1) #s(hole binary64 (* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))))
#s(approx (+ (* 1/2 a) 1) #s(hole binary64 (* 1/2 a)))
#s(approx (+ (* 1/2 a) 1) #s(hole binary64 (* a (+ 1/2 (/ 1 a)))))
#s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (- (/ (exp a) (+ 1 (exp a))) (* b (exp (- a (* 2 (log (+ 1 (exp a))))))))))
#s(approx (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) #s(hole binary64 (* -1 (* b (exp (- a (* 2 (log (+ 1 (exp a))))))))))
#s(approx (* b (exp (- a (* (log (- (exp a) -1)) 2)))) #s(hole binary64 (* b (exp (- a (* 2 (log (+ 1 (exp a)))))))))
#s(approx (exp (- a (* (log (- (exp a) -1)) 2))) #s(hole binary64 (exp (- a (* 2 (log (+ 1 (exp a))))))))
#s(approx (- a (* (log (- (exp a) -1)) 2)) #s(hole binary64 (* a (+ 1 (* -2 (/ (log (+ 1 (exp a))) a))))))
#s(approx (* (log (- (exp a) -1)) 2) #s(hole binary64 (* 2 (log (+ 1 (exp a))))))
#s(approx (log (- (exp a) -1)) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 1 (exp a))))
#s(approx (/ (exp a) (- (exp a) -1)) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) #s(hole binary64 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))))
#s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) #s(hole binary64 (* a (- (+ (/ 1 (* a (+ 1 (exp b)))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2))))))
#s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (- (/ (exp a) (+ 1 (exp a))) (* b (exp (neg (+ (* -1 a) (* 2 (log (+ 1 (exp a)))))))))))
#s(approx (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) #s(hole binary64 (* -1 (* b (exp (neg (+ (* -1 a) (* 2 (log (+ 1 (exp a)))))))))))
#s(approx (* b (exp (- a (* (log (- (exp a) -1)) 2)))) #s(hole binary64 (* b (exp (neg (+ (* -1 a) (* 2 (log (+ 1 (exp a))))))))))
#s(approx (exp (- a (* (log (- (exp a) -1)) 2))) #s(hole binary64 (exp (neg (+ (* -1 a) (* 2 (log (+ 1 (exp a)))))))))
#s(approx (- a (* (log (- (exp a) -1)) 2)) #s(hole binary64 (* -1 (* a (- (* 2 (/ (log (+ 1 (exp a))) a)) 1)))))
#s(approx (+ (* (- (/ 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 (+ (* -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 (* -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 (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ (* -1 (* b (exp (- a (* 2 (log (+ 1 (exp a)))))))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (+ (* (- (/ 1 (- (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 (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* b (- (/ (exp a) (* b (+ 1 (exp a)))) (exp (- a (* 2 (log (+ 1 (exp a))))))))))
#s(approx (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) #s(hole binary64 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))
#s(approx (pow (- (exp b) -1) -2) #s(hole binary64 (/ 1 (pow (+ 1 (exp b)) 2))))
#s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (* -1 (exp (- a (* 2 (log (+ 1 (exp a))))))))))))
Outputs
(/.f64 (neg.f64 (neg.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))))) (neg.f64 (neg.f64 (+.f64 (exp.f64 b) #s(approx (exp a) (-.f64 a #s(literal -1 binary64)))))))
(/.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 (neg.f64 (-.f64 (*.f64 a a) #s(literal 1 binary64))) (neg.f64 (+.f64 a #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 a a) a) #s(literal -1 binary64))) (neg.f64 (fma.f64 a a (+.f64 #s(literal 1 binary64) (neg.f64 a)))))
(/.f64 (-.f64 (*.f64 a a) #s(literal 1 binary64)) (+.f64 a #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 a a) a) #s(literal -1 binary64)) (fma.f64 a a (+.f64 #s(literal 1 binary64) (neg.f64 a))))
(-.f64 a #s(literal -1 binary64))
a
#s(literal -1 binary64)
(/.f64 (neg.f64 (-.f64 (*.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp a) (-.f64 a #s(literal -1 binary64)))) (exp.f64 (+.f64 b b)))) (neg.f64 (-.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b))))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp a) (-.f64 a #s(literal -1 binary64)))) #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (neg.f64 (fma.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (-.f64 (exp.f64 (+.f64 b b)) (*.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b))))))
(/.f64 (-.f64 (*.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp a) (-.f64 a #s(literal -1 binary64)))) (exp.f64 (+.f64 b b))) (-.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b)))
(/.f64 (fma.f64 (*.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp a) (-.f64 a #s(literal -1 binary64)))) #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (fma.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (-.f64 (exp.f64 (+.f64 b b)) (*.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b)))))
(+.f64 (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) (neg.f64 (neg.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -1 binary64)))
#s(literal 1 binary64)
(/.f64 (neg.f64 (expm1.f64 (+.f64 b b))) (neg.f64 (+.f64 (exp.f64 b) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 b #s(literal 3 binary64))) #s(literal -1 binary64))) (neg.f64 (+.f64 (exp.f64 (+.f64 b b)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) #s(literal -1 binary64))))))
(/.f64 (expm1.f64 (+.f64 b b)) (+.f64 (exp.f64 b) #s(literal -1 binary64)))
(/.f64 (-.f64 (exp.f64 (*.f64 b #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 (exp.f64 (+.f64 b b)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) #s(literal -1 binary64)))))
(-.f64 (exp.f64 b) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))))) (neg.f64 (neg.f64 (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (exp.f64 b)))))
(/.f64 (neg.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))) (neg.f64 (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (exp.f64 b))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (exp.f64 b)))
#s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a) (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a) (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a) (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a) (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a)) (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a))))))
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a) (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a)) #s(literal 1 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a) (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a)))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a) (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a) (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a)) (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))
(fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 a) (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64))))
(+.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1/2 binary64)) a)
(*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 #s(literal 1/2 binary64) a)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 #s(literal 1/2 binary64) a)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) #s(literal 1/8 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 #s(literal 1/2 binary64) a)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 a a) a) #s(literal 1/8 binary64) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 #s(literal 1/2 binary64) a) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 #s(literal 1/2 binary64) a))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 #s(literal 1/2 binary64) a)) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) #s(literal 1/8 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 #s(literal 1/2 binary64) a)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a)))))
(/.f64 (fma.f64 (*.f64 (*.f64 a a) a) #s(literal 1/8 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 #s(literal 1/2 binary64) a) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1/2 binary64) a (*.f64 a (/.f64 #s(literal 1 binary64) a)))
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64))
(fma.f64 a #s(literal 1/2 binary64) (*.f64 a (/.f64 #s(literal 1 binary64) a)))
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) a))
(+.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 a (/.f64 #s(literal 1 binary64) a)))
(+.f64 (*.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a))
#s(literal 1/2 binary64)
(/.f64 (neg.f64 (-.f64 (*.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))) (exp.f64 (+.f64 b b)))) (neg.f64 (-.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (exp.f64 b))))
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(literal 3 binary64)) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (neg.f64 (fma.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (-.f64 (exp.f64 (+.f64 b b)) (*.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (exp.f64 b))))))
(/.f64 (-.f64 (*.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))) (exp.f64 (+.f64 b b))) (-.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (exp.f64 b)))
(/.f64 (+.f64 (pow.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(literal 3 binary64)) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (fma.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (-.f64 (exp.f64 (+.f64 b b)) (*.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (exp.f64 b)))))
(+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (exp.f64 b))
(+.f64 (exp.f64 b) #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (neg.f64 b) (exp.f64 (-.f64 a (*.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
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(/.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 b) (exp.f64 (-.f64 a (*.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64))))) #s(literal 2 binary64)) (pow.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64))) (-.f64 (*.f64 (neg.f64 b) (exp.f64 (-.f64 a (*.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64))))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 b) (exp.f64 (-.f64 a (*.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (neg.f64 b) (exp.f64 (-.f64 a (*.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64))))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 b) (exp.f64 (-.f64 a (*.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64))))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64)))))))
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(+.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (*.f64 (neg.f64 b) (exp.f64 (-.f64 a (*.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64))))))
(+.f64 (*.f64 (neg.f64 b) (exp.f64 (-.f64 a (*.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64))))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(*.f64 (neg.f64 b) (exp.f64 (-.f64 a (*.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)))))
(*.f64 b (neg.f64 (exp.f64 (-.f64 a (*.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64))))))
(neg.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)))) b))
(*.f64 (exp.f64 (-.f64 a (*.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)))) b)
(*.f64 b (exp.f64 (-.f64 a (*.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)))))
(*.f64 (exp.f64 a) (exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)))) #s(literal 2 binary64))))
(/.f64 (neg.f64 (exp.f64 a)) (neg.f64 (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64))))
(/.f64 (exp.f64 a) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64)))
(exp.f64 (-.f64 a (*.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (-.f64 a (*.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)))) (sinh.f64 (-.f64 a (*.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 a a) (pow.f64 (*.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (+.f64 a (*.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 a a) a) (*.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 8 binary64)))) (neg.f64 (fma.f64 a a (+.f64 (pow.f64 (*.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 a (*.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (*.f64 a a) (pow.f64 (*.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 a (*.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 a a) a) (*.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 a a (+.f64 (pow.f64 (*.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 a (*.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64))))))
(-.f64 a (*.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)))
(+.f64 a (*.f64 (neg.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)))) #s(literal 2 binary64)))
(*.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(log.f64 (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64)))
(-.f64 (log.f64 (expm1.f64 (+.f64 a a))) (log.f64 (+.f64 (exp.f64 a) #s(literal -1 binary64))))
(-.f64 (log.f64 (-.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) #s(literal -1 binary64))) (log.f64 (+.f64 (exp.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) #s(literal -1 binary64))))))
(log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)))
(/.f64 (neg.f64 (expm1.f64 (+.f64 a a))) (neg.f64 (+.f64 (exp.f64 a) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) #s(literal -1 binary64))) (neg.f64 (+.f64 (exp.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) #s(literal -1 binary64))))))
(/.f64 (expm1.f64 (+.f64 a a)) (+.f64 (exp.f64 a) #s(literal -1 binary64)))
(/.f64 (-.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 (exp.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) #s(literal -1 binary64)))))
(-.f64 (exp.f64 a) #s(literal -1 binary64))
(exp.f64 a)
(+.f64 (cosh.f64 a) (sinh.f64 a))
#s(literal 2 binary64)
(/.f64 (neg.f64 (neg.f64 (exp.f64 a))) (neg.f64 (neg.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (exp.f64 a)) (neg.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64)))
#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 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a) #s(literal 2 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64)))) (neg.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a) #s(literal 3 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a) #s(literal 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 (neg.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -4 binary64)))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -3 binary64)) (exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -2 binary64)) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -4 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -3 binary64))))))
(/.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -4 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))))
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(-.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 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))) (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
(*.f64 (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) (*.f64 (neg.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) (neg.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) (neg.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -2 binary64))) (sinh.f64 (*.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -2 binary64))))
#s(literal -2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (fma.f64 a (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -3 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)) #s(literal 3/2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (-.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -3 binary64)) (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)) (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -4 binary64)))))) a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -3 binary64))) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)) #s(literal 3/2 binary64)))) a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
#s(approx (exp a) #s(literal 1 binary64))
#s(approx (exp a) (+.f64 #s(literal 1 binary64) a))
#s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
#s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
#s(approx a a)
#s(approx (+ (exp a) (exp b)) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
#s(approx (+ (exp a) (exp b)) (+.f64 (+.f64 (exp.f64 b) a) #s(literal 1 binary64)))
#s(approx (+ (exp a) (exp b)) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (exp.f64 b)) #s(literal 1 binary64)))
#s(approx (+ (exp a) (exp b)) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a (exp.f64 b)) #s(literal 1 binary64)))
#s(approx (+ (* 1/2 a) 1) (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)))
#s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
#s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (-.f64 (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) b)))
#s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (-.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) b) a) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) b)))
#s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) a (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) b))) a #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) b)))
#s(approx (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (neg.f64 (*.f64 #s(literal 1/4 binary64) b)))
#s(approx (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (-.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/4 binary64) b)) (*.f64 #s(literal 1/4 binary64) b)))
#s(approx (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (-.f64 (*.f64 (*.f64 a a) (fma.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 a a)) (*.f64 #s(literal 1/4 binary64) b) (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) b)))) (*.f64 #s(literal 1/4 binary64) b)))
#s(approx (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (-.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 17/2880 binary64) (*.f64 a a)) (*.f64 #s(literal 1/4 binary64) b) (*.f64 #s(literal -1/24 binary64) (*.f64 #s(literal 1/4 binary64) b))) (*.f64 a a) (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) b))) (*.f64 a a)) (*.f64 #s(literal 1/4 binary64) b)))
#s(approx (* b (exp (- a (* (log (- (exp a) -1)) 2)))) (*.f64 #s(literal 1/4 binary64) b))
#s(approx (* b (exp (- a (* (log (- (exp a) -1)) 2)))) (fma.f64 (*.f64 (*.f64 a a) #s(literal -1/4 binary64)) (*.f64 #s(literal 1/4 binary64) b) (*.f64 #s(literal 1/4 binary64) b)))
#s(approx (* b (exp (- a (* (log (- (exp a) -1)) 2)))) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) (*.f64 #s(literal 1/4 binary64) b) (*.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 1/4 binary64) b))) (*.f64 #s(literal 1/4 binary64) b)))
#s(approx (* b (exp (- a (* (log (- (exp a) -1)) 2)))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (fma.f64 (*.f64 #s(literal 1/24 binary64) b) #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -17/2880 binary64) (*.f64 a a)) (*.f64 #s(literal 1/4 binary64) b))))) (*.f64 a a) (*.f64 #s(literal 1/4 binary64) b)))
#s(approx (exp (- a (* (log (- (exp a) -1)) 2))) #s(literal 1/4 binary64))
#s(approx (exp (- a (* (log (- (exp a) -1)) 2))) (fma.f64 (*.f64 (*.f64 a a) #s(literal 1/4 binary64)) #s(literal -1/4 binary64) #s(literal 1/4 binary64)))
#s(approx (exp (- a (* (log (- (exp a) -1)) 2))) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/24 binary64) #s(literal -1/16 binary64)) (*.f64 a a) #s(literal 1/4 binary64)))
#s(approx (exp (- a (* (log (- (exp a) -1)) 2))) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) #s(literal 1/4 binary64)) #s(literal -17/2880 binary64) #s(literal 1/96 binary64)) (*.f64 a a) #s(literal -1/16 binary64)) (*.f64 a a) #s(literal 1/4 binary64)))
#s(approx (- a (* (log (- (exp a) -1)) 2)) (log.f64 #s(literal 1/4 binary64)))
#s(approx (- a (* (log (- (exp a) -1)) 2)) (fma.f64 (*.f64 a a) #s(literal -1/4 binary64) (log.f64 #s(literal 1/4 binary64))))
#s(approx (- a (* (log (- (exp a) -1)) 2)) (fma.f64 (-.f64 (*.f64 #s(literal 1/96 binary64) (*.f64 a a)) #s(literal 1/4 binary64)) (*.f64 a a) (log.f64 #s(literal 1/4 binary64))))
#s(approx (- a (* (log (- (exp a) -1)) 2)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 a a) #s(literal 1/96 binary64)) (*.f64 a a)) #s(literal 1/4 binary64)) (*.f64 a a) (log.f64 #s(literal 1/4 binary64))))
#s(approx (* (log (- (exp a) -1)) 2) (log.f64 #s(literal 4 binary64)))
#s(approx (* (log (- (exp a) -1)) 2) (-.f64 a (log.f64 #s(literal 1/4 binary64))))
#s(approx (* (log (- (exp a) -1)) 2) (fma.f64 (fma.f64 #s(literal 1/4 binary64) a #s(literal 1 binary64)) a (log.f64 #s(literal 4 binary64))))
#s(approx (* (log (- (exp a) -1)) 2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 a a) #s(literal 1/4 binary64)) a #s(literal 1 binary64)) a (log.f64 #s(literal 4 binary64))))
#s(approx (log (- (exp a) -1)) (log.f64 #s(literal 2 binary64)))
#s(approx (log (- (exp a) -1)) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))
#s(approx (log (- (exp a) -1)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))
#s(approx (log (- (exp a) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))
#s(approx (- (exp a) -1) #s(literal 2 binary64))
#s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a))
#s(approx (- (exp a) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))
#s(approx (- (exp a) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64)))
#s(approx (/ (exp a) (- (exp a) -1)) #s(literal 1/2 binary64))
#s(approx (/ (exp a) (- (exp a) -1)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (- (exp a) -1)) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (- (exp a) -1)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/480 binary64) (*.f64 a a)) #s(literal 1/48 binary64)) (*.f64 a a) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp 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 (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) a))
#s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 a a))) (*.f64 a a)))
#s(approx (+ (* 1/2 a) 1) (*.f64 #s(literal 1/2 binary64) a))
#s(approx (+ (* 1/2 a) 1) (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)))
#s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (-.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 (exp.f64 (-.f64 a (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)))) b)))
#s(approx (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (neg.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)))) b)))
#s(approx (* b (exp (- a (* (log (- (exp a) -1)) 2)))) (*.f64 (exp.f64 (-.f64 a (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)))) b))
#s(approx (exp (- a (* (log (- (exp a) -1)) 2))) (exp.f64 (-.f64 a (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)))))
#s(approx (- a (* (log (- (exp a) -1)) 2)) (*.f64 (fma.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) a) #s(literal -2 binary64) #s(literal 1 binary64)) a))
#s(approx (* (log (- (exp a) -1)) 2) (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)))
#s(approx (log (- (exp a) -1)) (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (- (exp a) -1) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
#s(approx (/ (exp a) (- (exp a) -1)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) a))
#s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (*.f64 (-.f64 (+.f64 (/.f64 #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 (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (-.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 (exp.f64 (neg.f64 (fma.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64) (neg.f64 a)))) b)))
#s(approx (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (neg.f64 (*.f64 (exp.f64 (neg.f64 (fma.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64) (neg.f64 a)))) b)))
#s(approx (* b (exp (- a (* (log (- (exp a) -1)) 2)))) (*.f64 (exp.f64 (neg.f64 (fma.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64) (neg.f64 a)))) b))
#s(approx (exp (- a (* (log (- (exp a) -1)) 2))) (exp.f64 (neg.f64 (fma.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64) (neg.f64 a)))))
#s(approx (- a (* (log (- (exp a) -1)) 2)) (*.f64 (neg.f64 a) (-.f64 (/.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)) a) #s(literal 1 binary64))))
#s(approx (+ (* (- (/ 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 (neg.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)))) b)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 b (-.f64 (neg.f64 (*.f64 (fma.f64 (exp.f64 (-.f64 a (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (exp.f64 (-.f64 a (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64)))))) b)) (exp.f64 (-.f64 a (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64))))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (exp.f64 (-.f64 a (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64)))) (*.f64 (exp.f64 (-.f64 a (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)))) #s(literal 1/6 binary64))) (neg.f64 (/.f64 (fma.f64 (exp.f64 (-.f64 a (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (exp.f64 (-.f64 a (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64)))))) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) b)) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (exp.f64 (-.f64 a (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64))))))) b) (exp.f64 (-.f64 a (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64))))) b (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (+ (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)) (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 (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (+.f64 (neg.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)))) b)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (+.f64 (fma.f64 #s(literal -1/4 binary64) b (*.f64 #s(literal 1/4 binary64) a)) #s(literal 1/2 binary64)))
#s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (+.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b a) #s(literal -1/16 binary64)) #s(literal 1/4 binary64)) b (*.f64 #s(literal 1/4 binary64) a)) #s(literal 1/2 binary64)))
#s(approx (+ (* (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) a) (/ 1 (- (exp b) -1))) (+.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) b (*.f64 #s(literal -1/16 binary64) a)) b) #s(literal 1/4 binary64)) b (*.f64 #s(literal 1/4 binary64) a)) #s(literal 1/2 binary64)))
#s(approx (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) #s(literal 1/4 binary64))
#s(approx (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) (fma.f64 (*.f64 b b) #s(literal -1/16 binary64) #s(literal 1/4 binary64)))
#s(approx (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/96 binary64)) #s(literal 1/16 binary64)) (*.f64 b b) #s(literal 1/4 binary64)))
#s(approx (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -17/11520 binary64) (*.f64 b b) #s(literal 1/96 binary64)) (*.f64 b b)) #s(literal 1/16 binary64)) (*.f64 b b) #s(literal 1/4 binary64)))
#s(approx (pow (- (exp b) -1) -2) (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 (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (*.f64 (-.f64 (/.f64 (exp.f64 a) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) (exp.f64 (-.f64 a (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64))))) b))
#s(approx (- (/ 1 (- (exp b) -1)) (pow (- (exp b) -1) -2)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))))
#s(approx (pow (- (exp b) -1) -2) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))
#s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (exp.f64 a) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))) (neg.f64 (exp.f64 (-.f64 a (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)))))) b)))

eval32.0ms (1.2%)

Memory
4.6MiB live, 49.2MiB allocated; 3ms collecting garbage
Compiler

Compiled 4 309 to 1 498 computations (65.2% saved)

prune10.0ms (0.4%)

Memory
26.5MiB live, 26.5MiB allocated; 0ms collecting garbage
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New2498257
Fresh033
Picked415
Done000
Total25312265
Accuracy
99.9%
Counts
265 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.7%
(/.f64 (+.f64 (cosh.f64 a) (sinh.f64 a)) (+.f64 (+.f64 (cosh.f64 a) (sinh.f64 a)) (exp.f64 b)))
69.5%
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
74.0%
(/.f64 #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))) (+.f64 #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))) (exp.f64 b)))
38.8%
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
39.1%
(/.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))))
33.6%
(/.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))) (+.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))) (exp.f64 b)))
81.2%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
51.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
38.7%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
37.7%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
38.5%
#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))))
38.9%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (-.f64 (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) b))))
Compiler

Compiled 411 to 334 computations (18.7% saved)

series28.0ms (1%)

Memory
-25.2MiB live, 29.5MiB allocated; 23ms collecting garbage
Counts
34 → 85
Calls
Call 1
Inputs
(/.f64 #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))) (+.f64 #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))) (exp.f64 b)))
#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)))
(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))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
a
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(+.f64 #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))) (exp.f64 b))
(exp.f64 b)
b
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#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))) #s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (-.f64 (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) b))))
#s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (-.f64 (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) b)))
(-.f64 (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) b))
(fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))
#s(literal 1/4 binary64)
(*.f64 #s(literal 1/4 binary64) b)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ 1 (- (exp b) -1)) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))
(fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))
(-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64))
(*.f64 (*.f64 b b) #s(literal 1/48 binary64))
(*.f64 b b)
#s(literal 1/48 binary64)
(/.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))
#s(literal -1 binary64)
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (exp a) #s(hole binary64 1))
#s(approx (exp a) #s(hole binary64 (+ 1 a)))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (+ 1 (* 1/2 a))))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (+ 1 (* a (+ 1/2 (* 1/6 a))))))
#s(approx (+ (* 1/6 a) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/6 a) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 a))))
#s(approx a #s(hole binary64 a))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))
#s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (- 1/2 (* b (exp (neg (* 2 (log 2))))))))
#s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (- (+ 1/2 (* 1/4 a)) (* b (exp (neg (* 2 (log 2))))))))
#s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (- (+ 1/2 (* a (+ 1/4 (* 1/4 (* a (* b (exp (neg (* 2 (log 2)))))))))) (* b (exp (neg (* 2 (log 2))))))))
#s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (- (+ 1/2 (* a (+ 1/4 (* a (- (* -1/48 a) (* -1/4 (* b (exp (neg (* 2 (log 2))))))))))) (* b (exp (neg (* 2 (log 2))))))))
#s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) #s(hole binary64 (- 1/2 (* 1/4 b))))
#s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) #s(hole binary64 (- (+ 1/2 (* 1/4 a)) (* 1/4 b))))
#s(approx (+ (* 1/4 a) 1/2) #s(hole binary64 (+ 1/2 (* 1/4 a))))
#s(approx (- (exp a) -1) #s(hole binary64 2))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 a)))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 (* a (+ 1 (* 1/2 a))))))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ (exp a) (exp b)))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* 1/6 (pow a 3))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* (pow a 3) (+ 1/6 (* 1/2 (/ 1 a))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* (pow a 3) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* (pow a 3) (+ 1/6 (+ (* 1/2 (/ 1 a)) (+ (/ 1 (pow a 2)) (/ 1 (pow a 3))))))))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (* 1/6 (pow a 2))))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (* (pow a 2) (+ 1/6 (* 1/2 (/ 1 a))))))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (* (pow a 2) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2)))))))
#s(approx (+ (* 1/6 a) 1/2) #s(hole binary64 (* 1/6 a)))
#s(approx (+ (* 1/6 a) 1/2) #s(hole binary64 (* a (+ 1/6 (* 1/2 (/ 1 a))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b))))
#s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (- (/ (exp a) (+ 1 (exp a))) (* b (exp (- a (* 2 (log (+ 1 (exp a))))))))))
#s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) #s(hole binary64 (* 1/4 a)))
#s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) #s(hole binary64 (* a (- (+ 1/4 (* 1/2 (/ 1 a))) (* 1/4 (/ b a))))))
#s(approx (+ (* 1/4 a) 1/2) #s(hole binary64 (* a (+ 1/4 (* 1/2 (/ 1 a))))))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* -1 (* (pow a 3) (- (* -1 (/ (+ 1/2 (/ 1 a)) a)) 1/6)))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* -1 (* (pow a 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))) a)) 1/6)))))
#s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (- (/ (exp a) (+ 1 (exp a))) (* b (exp (neg (+ (* -1 a) (* 2 (log (+ 1 (exp a)))))))))))
#s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (- 1/2 (* 1/4 b)) a)) 1/4)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (+ (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 (* -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 (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ (* -1 (* b (exp (- a (* 2 (log (+ 1 (exp a)))))))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* 1/4 a)))))
#s(approx (* 1/4 b) #s(hole binary64 (* 1/4 b)))
#s(approx (- (* (* b b) 1/48) 1/4) #s(hole binary64 -1/4))
#s(approx (- (* (* b b) 1/48) 1/4) #s(hole binary64 (- (* 1/48 (pow b 2)) 1/4)))
#s(approx (* (* b b) 1/48) #s(hole binary64 (* 1/48 (pow b 2))))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx (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 (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* -1 (* b (exp (- a (* 2 (log (+ 1 (exp a))))))))))
#s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* b (- (/ (exp a) (* b (+ 1 (exp a)))) (exp (- a (* 2 (log (+ 1 (exp a))))))))))
#s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) #s(hole binary64 (* b (- (+ (* 1/4 (/ a b)) (* 1/2 (/ 1 b))) 1/4))))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(hole binary64 (* 1/48 (pow b 3))))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(hole binary64 (* (pow b 3) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(hole binary64 (* (pow b 3) (- (+ 1/48 (/ 1/2 (pow b 3))) (* 1/4 (/ 1 (pow b 2)))))))
#s(approx (- (* (* b b) 1/48) 1/4) #s(hole binary64 (* (pow b 2) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))))
#s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (* -1 (exp (- a (* 2 (log (+ 1 (exp a))))))))))))
#s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) #s(hole binary64 (* -1 (* b (+ 1/4 (* -1 (/ (+ 1/2 (* 1/4 a)) b)))))))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(hole binary64 (* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) 1/48)))))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(hole binary64 (* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) (+ 1/48 (/ 1/2 (pow b 3))))))))
Calls

6 calls:

TimeVariablePointExpression
11.0ms
a
@-inf
((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (+ (* (+ (* 1/6 a) 1/2) a) 1) (+ (* 1/6 a) 1/2) 1/6 a 1/2 1 (+ (exp a) (exp b)) (exp b) b (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (+ (* -1/4 b) 1/2) -1/4 (/ (exp a) (+ (exp a) (exp b))) (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (+ (* 1/4 a) 1/2) 1/4 (* 1/4 b) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (- (* (* b b) 1/48) 1/4) (* (* b b) 1/48) (* b b) 1/48 (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (- (exp a) -1) -1)
4.0ms
b
@-inf
((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (+ (* (+ (* 1/6 a) 1/2) a) 1) (+ (* 1/6 a) 1/2) 1/6 a 1/2 1 (+ (exp a) (exp b)) (exp b) b (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (+ (* -1/4 b) 1/2) -1/4 (/ (exp a) (+ (exp a) (exp b))) (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (+ (* 1/4 a) 1/2) 1/4 (* 1/4 b) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (- (* (* b b) 1/48) 1/4) (* (* b b) 1/48) (* b b) 1/48 (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (- (exp a) -1) -1)
4.0ms
b
@inf
((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (+ (* (+ (* 1/6 a) 1/2) a) 1) (+ (* 1/6 a) 1/2) 1/6 a 1/2 1 (+ (exp a) (exp b)) (exp b) b (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (+ (* -1/4 b) 1/2) -1/4 (/ (exp a) (+ (exp a) (exp b))) (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (+ (* 1/4 a) 1/2) 1/4 (* 1/4 b) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (- (* (* b b) 1/48) 1/4) (* (* b b) 1/48) (* b b) 1/48 (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (- (exp a) -1) -1)
3.0ms
b
@0
((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (+ (* (+ (* 1/6 a) 1/2) a) 1) (+ (* 1/6 a) 1/2) 1/6 a 1/2 1 (+ (exp a) (exp b)) (exp b) b (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (+ (* -1/4 b) 1/2) -1/4 (/ (exp a) (+ (exp a) (exp b))) (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (+ (* 1/4 a) 1/2) 1/4 (* 1/4 b) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (- (* (* b b) 1/48) 1/4) (* (* b b) 1/48) (* b b) 1/48 (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (- (exp a) -1) -1)
2.0ms
a
@inf
((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (+ (* (+ (* 1/6 a) 1/2) a) 1) (+ (* 1/6 a) 1/2) 1/6 a 1/2 1 (+ (exp a) (exp b)) (exp b) b (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (+ (* -1/4 b) 1/2) -1/4 (/ (exp a) (+ (exp a) (exp b))) (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (+ (* 1/4 a) 1/2) 1/4 (* 1/4 b) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (- (* (* b b) 1/48) 1/4) (* (* b b) 1/48) (* b b) 1/48 (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (- (exp a) -1) -1)

rewrite194.0ms (6.9%)

Memory
-5.1MiB live, 223.5MiB allocated; 25ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04042249
04322108
124372071
0103441987
Stop Event
iter-limit
node-limit
iter-limit
Counts
119 → 282
Calls
Call 1
Inputs
(/.f64 #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))) (+.f64 #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))) (exp.f64 b)))
#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)))
(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))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
a
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(+.f64 #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))) (exp.f64 b))
(exp.f64 b)
b
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#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))) #s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (-.f64 (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) b))))
#s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (-.f64 (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) b)))
(-.f64 (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) b))
(fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))
#s(literal 1/4 binary64)
(*.f64 #s(literal 1/4 binary64) b)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ 1 (- (exp b) -1)) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))
(fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))
(-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64))
(*.f64 (*.f64 b b) #s(literal 1/48 binary64))
(*.f64 b b)
#s(literal 1/48 binary64)
(/.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))
#s(literal -1 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (exp a) #s(hole binary64 1))
#s(approx (exp a) #s(hole binary64 (+ 1 a)))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (+ 1 (* 1/2 a))))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (+ 1 (* a (+ 1/2 (* 1/6 a))))))
#s(approx (+ (* 1/6 a) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/6 a) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 a))))
#s(approx a #s(hole binary64 a))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))
#s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (- 1/2 (* b (exp (neg (* 2 (log 2))))))))
#s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (- (+ 1/2 (* 1/4 a)) (* b (exp (neg (* 2 (log 2))))))))
#s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (- (+ 1/2 (* a (+ 1/4 (* 1/4 (* a (* b (exp (neg (* 2 (log 2)))))))))) (* b (exp (neg (* 2 (log 2))))))))
#s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (- (+ 1/2 (* a (+ 1/4 (* a (- (* -1/48 a) (* -1/4 (* b (exp (neg (* 2 (log 2))))))))))) (* b (exp (neg (* 2 (log 2))))))))
#s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) #s(hole binary64 (- 1/2 (* 1/4 b))))
#s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) #s(hole binary64 (- (+ 1/2 (* 1/4 a)) (* 1/4 b))))
#s(approx (+ (* 1/4 a) 1/2) #s(hole binary64 (+ 1/2 (* 1/4 a))))
#s(approx (- (exp a) -1) #s(hole binary64 2))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 a)))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 (* a (+ 1 (* 1/2 a))))))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ (exp a) (exp b)))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* 1/6 (pow a 3))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* (pow a 3) (+ 1/6 (* 1/2 (/ 1 a))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* (pow a 3) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* (pow a 3) (+ 1/6 (+ (* 1/2 (/ 1 a)) (+ (/ 1 (pow a 2)) (/ 1 (pow a 3))))))))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (* 1/6 (pow a 2))))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (* (pow a 2) (+ 1/6 (* 1/2 (/ 1 a))))))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (* (pow a 2) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2)))))))
#s(approx (+ (* 1/6 a) 1/2) #s(hole binary64 (* 1/6 a)))
#s(approx (+ (* 1/6 a) 1/2) #s(hole binary64 (* a (+ 1/6 (* 1/2 (/ 1 a))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b))))
#s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (- (/ (exp a) (+ 1 (exp a))) (* b (exp (- a (* 2 (log (+ 1 (exp a))))))))))
#s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) #s(hole binary64 (* 1/4 a)))
#s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) #s(hole binary64 (* a (- (+ 1/4 (* 1/2 (/ 1 a))) (* 1/4 (/ b a))))))
#s(approx (+ (* 1/4 a) 1/2) #s(hole binary64 (* a (+ 1/4 (* 1/2 (/ 1 a))))))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* -1 (* (pow a 3) (- (* -1 (/ (+ 1/2 (/ 1 a)) a)) 1/6)))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* -1 (* (pow a 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))) a)) 1/6)))))
#s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (- (/ (exp a) (+ 1 (exp a))) (* b (exp (neg (+ (* -1 a) (* 2 (log (+ 1 (exp a)))))))))))
#s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (- 1/2 (* 1/4 b)) a)) 1/4)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (+ (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 (* -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 (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ (* -1 (* b (exp (- a (* 2 (log (+ 1 (exp a)))))))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* 1/4 a)))))
#s(approx (* 1/4 b) #s(hole binary64 (* 1/4 b)))
#s(approx (- (* (* b b) 1/48) 1/4) #s(hole binary64 -1/4))
#s(approx (- (* (* b b) 1/48) 1/4) #s(hole binary64 (- (* 1/48 (pow b 2)) 1/4)))
#s(approx (* (* b b) 1/48) #s(hole binary64 (* 1/48 (pow b 2))))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx (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 (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* -1 (* b (exp (- a (* 2 (log (+ 1 (exp a))))))))))
#s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* b (- (/ (exp a) (* b (+ 1 (exp a)))) (exp (- a (* 2 (log (+ 1 (exp a))))))))))
#s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) #s(hole binary64 (* b (- (+ (* 1/4 (/ a b)) (* 1/2 (/ 1 b))) 1/4))))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(hole binary64 (* 1/48 (pow b 3))))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(hole binary64 (* (pow b 3) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(hole binary64 (* (pow b 3) (- (+ 1/48 (/ 1/2 (pow b 3))) (* 1/4 (/ 1 (pow b 2)))))))
#s(approx (- (* (* b b) 1/48) 1/4) #s(hole binary64 (* (pow b 2) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))))
#s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (* -1 (exp (- a (* 2 (log (+ 1 (exp a))))))))))))
#s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) #s(hole binary64 (* -1 (* b (+ 1/4 (* -1 (/ (+ 1/2 (* 1/4 a)) b)))))))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(hole binary64 (* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) 1/48)))))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(hole binary64 (* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) (+ 1/48 (/ 1/2 (pow b 3))))))))
Outputs
(/.f64 (neg.f64 (neg.f64 #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))))) (neg.f64 (neg.f64 (+.f64 (exp.f64 b) #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)))))))
(/.f64 (neg.f64 #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)))) (neg.f64 (+.f64 (exp.f64 b) #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))))))
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#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)))
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(+.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64))
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#s(literal 1/4 binary64)
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(*.f64 b #s(literal 1/4 binary64))
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(fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))
(fma.f64 b (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
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(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b))) (/.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b) (*.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b)) (-.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b))))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 b) (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64))))
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(+.f64 (*.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b) #s(literal 1/2 binary64))
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(-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64))
(*.f64 (*.f64 b b) #s(literal 1/48 binary64))
(*.f64 #s(literal 1/48 binary64) (*.f64 b b))
(*.f64 b (*.f64 b #s(literal 1/48 binary64)))
(*.f64 (fabs.f64 (fabs.f64 b)) (fabs.f64 (fabs.f64 b)))
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(*.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)))
(*.f64 (fabs.f64 b) (fabs.f64 b))
(*.f64 (neg.f64 b) (neg.f64 b))
(*.f64 b b)
(pow.f64 (exp.f64 (log.f64 b)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 b) #s(literal 2 binary64))
(pow.f64 (neg.f64 b) #s(literal 2 binary64))
(pow.f64 (*.f64 b b) #s(literal 1 binary64))
(pow.f64 b #s(literal 2 binary64))
(fabs.f64 (*.f64 b b))
(exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))))
#s(literal 1/48 binary64)
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(exp.f64 a)
(+.f64 (cosh.f64 a) (sinh.f64 a))
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(-.f64 (exp.f64 a) #s(literal -1 binary64))
#s(literal -1 binary64)
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#s(approx (exp a) #s(literal 1 binary64))
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#s(approx a a)
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#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 (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
#s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (fma.f64 #s(literal 1/4 binary64) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (-.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) a) (*.f64 #s(literal 1/4 binary64) b) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) b)))
#s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) a (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) b))) a #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) b)))
#s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
#s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (fma.f64 #s(literal 1/4 binary64) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (+ (* 1/4 a) 1/2) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))
#s(approx (- (exp a) -1) #s(literal 2 binary64))
#s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a))
#s(approx (- (exp a) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))
#s(approx (- (exp a) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))))
#s(approx (exp a) (exp.f64 a))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (*.f64 (*.f64 (*.f64 a a) a) #s(literal 1/6 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/6 binary64)) (*.f64 (*.f64 a a) a)))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a)) #s(literal 1/6 binary64)) (*.f64 (*.f64 a a) a)))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (*.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a)) (/.f64 #s(literal 1 binary64) (*.f64 a a))) (/.f64 #s(literal 1/2 binary64) a)) #s(literal 1/6 binary64)) (*.f64 (*.f64 a a) a)))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) (*.f64 (*.f64 a a) #s(literal 1/6 binary64)))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) (*.f64 (*.f64 a a) (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/6 binary64))))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a)) #s(literal 1/6 binary64)) (*.f64 a a)))
#s(approx (+ (* 1/6 a) 1/2) (*.f64 #s(literal 1/6 binary64) a))
#s(approx (+ (* 1/6 a) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/6 binary64)) a))
#s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 b) (exp.f64 a)))
#s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (-.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 (exp.f64 (-.f64 a (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)))) b)))
#s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (*.f64 #s(literal 1/4 binary64) a))
#s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a)) a))
#s(approx (+ (* 1/4 a) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/4 binary64)) a))
#s(approx (- (exp a) -1) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (*.f64 (*.f64 (neg.f64 a) (*.f64 a a)) (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1/2 binary64)) a)) #s(literal 1/6 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (*.f64 (*.f64 (neg.f64 a) (*.f64 a a)) (-.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 a a))) a)) #s(literal 1/6 binary64))))
#s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (-.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 (exp.f64 (neg.f64 (fma.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64) (neg.f64 a)))) b)))
#s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (*.f64 (neg.f64 a) (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a)) #s(literal 1/4 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (neg.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)))) b)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 b (-.f64 (neg.f64 (*.f64 (fma.f64 (exp.f64 (-.f64 a (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (exp.f64 (-.f64 a (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64)))))) b)) (exp.f64 (-.f64 a (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64))))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (exp.f64 (-.f64 a (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64)))) (*.f64 (exp.f64 (-.f64 a (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)))) #s(literal 1/6 binary64))) (neg.f64 (/.f64 (fma.f64 (exp.f64 (-.f64 a (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (exp.f64 (-.f64 a (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64)))))) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) b)) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (exp.f64 (-.f64 a (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64))))))) b) (exp.f64 (-.f64 a (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64))))) b (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (+ (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 b #s(literal 1/2 binary64) #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 b #s(literal 1/6 binary64) #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 b #s(literal 1/2 binary64) #s(literal 1 binary64)) b #s(literal 1 binary64)))
#s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #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)) (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 (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (+.f64 (neg.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)))) b)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (+.f64 (fma.f64 #s(literal 1/4 binary64) a (*.f64 #s(literal -1/4 binary64) b)) #s(literal 1/2 binary64)))
#s(approx (* 1/4 b) (*.f64 #s(literal 1/4 binary64) b))
#s(approx (- (* (* b b) 1/48) 1/4) #s(literal -1/4 binary64))
#s(approx (- (* (* b b) 1/48) 1/4) (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)))
#s(approx (* (* b b) 1/48) (*.f64 (*.f64 b b) #s(literal 1/48 binary64)))
#s(approx (* b b) (*.f64 b b))
#s(approx (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 (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (neg.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)))) b)))
#s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (*.f64 (-.f64 (/.f64 (exp.f64 a) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) (exp.f64 (-.f64 a (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64))))) b))
#s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)) b) #s(literal 1/4 binary64)) b))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/48 binary64)))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 b b))) (*.f64 (*.f64 b b) b)))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) b)) #s(literal 1/48 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 b b))) (*.f64 (*.f64 b b) b)))
#s(approx (- (* (* b b) 1/48) 1/4) (*.f64 (-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 b b))) (*.f64 b b)))
#s(approx (+ (* -1/4 b) 1/2) (neg.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) b)) b)))
#s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (exp.f64 a) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))) (neg.f64 (exp.f64 (-.f64 a (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)))))) b)))
#s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)) b)) #s(literal 1/4 binary64)) b)))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 b b)) #s(literal 1/48 binary64)) (*.f64 (*.f64 b b) b))))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (neg.f64 (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 b b)) #s(literal 1/48 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) b))) (*.f64 (*.f64 b b) b))))

eval31.0ms (1.1%)

Memory
12.6MiB live, 55.9MiB allocated; 6ms collecting garbage
Compiler

Compiled 4 539 to 1 505 computations (66.8% saved)

prune13.0ms (0.5%)

Memory
19.8MiB live, 19.8MiB allocated; 0ms collecting garbage
Pruning

19 alts after pruning (15 fresh and 4 done)

PrunedKeptTotal
New24210252
Fresh156
Picked235
Done011
Total24519264
Accuracy
99.9%
Counts
264 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
41.0%
(/.f64 (+.f64 (cosh.f64 a) (sinh.f64 a)) #s(approx (+ (exp a) (exp b)) (-.f64 (+.f64 (cosh.f64 a) (sinh.f64 a)) #s(literal -1 binary64))))
69.5%
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
68.0%
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64))))
38.8%
(/.f64 #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))) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64)))))
38.8%
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
39.1%
(/.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))))
29.4%
(/.f64 #s(approx (exp a) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (*.f64 (*.f64 (*.f64 a a) a) #s(literal 1/6 binary64)))) (+.f64 #s(approx (exp a) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (*.f64 (*.f64 (*.f64 a a) a) #s(literal 1/6 binary64)))) (exp.f64 b)))
33.6%
(/.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))) (+.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))) (exp.f64 b)))
81.2%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
51.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
38.7%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
37.7%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
38.5%
#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))))
12.0%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/48 binary64)))))
3.9%
#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))))
38.9%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (fma.f64 a #s(literal 1/4 binary64) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
38.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (-.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) a) (*.f64 #s(literal 1/4 binary64) a)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/4 binary64) b))))
38.7%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a)) a))))
3.6%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (*.f64 #s(literal 1/4 binary64) a))))
Compiler

Compiled 774 to 634 computations (18.1% saved)

series27.0ms (0.9%)

Memory
1.9MiB live, 47.9MiB allocated; 2ms collecting garbage
Counts
35 → 88
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 (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (*.f64 #s(literal 1/4 binary64) a)))
#s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (*.f64 #s(literal 1/4 binary64) a))
(*.f64 #s(literal 1/4 binary64) a)
#s(literal 1/4 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/48 binary64)))))
#s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/48 binary64))))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/48 binary64)))
(*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/48 binary64))
(*.f64 (*.f64 b b) b)
(*.f64 b b)
b
#s(literal 1/48 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a)) a))))
#s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a)) a)))
#s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a)) a))
(*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a)) a)
(+.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a))
(/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a)
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
#s(literal -1/4 binary64)
#s(literal 1/2 binary64)
(/.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))) (+.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))) (exp.f64 b)))
#s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))
(*.f64 (*.f64 a a) #s(literal 1/2 binary64))
(*.f64 a a)
(+.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))) (exp.f64 b))
(exp.f64 b)
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (exp a) #s(hole binary64 1))
#s(approx (exp a) #s(hole binary64 (+ 1 a)))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx a #s(hole binary64 a))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))
#s(approx (- (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 (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (- 1/2 (* b (exp (neg (* 2 (log 2))))))))
#s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (- (+ 1/2 (* 1/4 a)) (* b (exp (neg (* 2 (log 2))))))))
#s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (- (+ 1/2 (* a (+ 1/4 (* 1/4 (* a (* b (exp (neg (* 2 (log 2)))))))))) (* b (exp (neg (* 2 (log 2))))))))
#s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (- (+ 1/2 (* a (+ 1/4 (* a (- (* -1/48 a) (* -1/4 (* b (exp (neg (* 2 (log 2))))))))))) (* b (exp (neg (* 2 (log 2))))))))
#s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) #s(hole binary64 (- 1/2 (* 1/4 b))))
#s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) #s(hole binary64 (- (+ 1/2 (* 1/4 a)) (* 1/4 b))))
#s(approx (* 1/4 a) #s(hole binary64 (* 1/4 a)))
#s(approx (* (+ 1/4 (/ (+ (* -1/4 b) 1/2) a)) a) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (* (+ 1/4 (/ (+ (* -1/4 b) 1/2) a)) a) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* 1/4 a)))))
#s(approx (+ 1/4 (/ (+ (* -1/4 b) 1/2) a)) #s(hole binary64 (/ (+ 1/2 (* -1/4 b)) a)))
#s(approx (+ 1/4 (/ (+ (* -1/4 b) 1/2) a)) #s(hole binary64 (/ (+ 1/2 (+ (* -1/4 b) (* 1/4 a))) a)))
#s(approx (* (* a a) 1/2) #s(hole binary64 (* 1/2 (pow a 2))))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#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 (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (- (/ (exp a) (+ 1 (exp a))) (* b (exp (- a (* 2 (log (+ 1 (exp a))))))))))
#s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) #s(hole binary64 (* a (- (+ 1/4 (* 1/2 (/ 1 a))) (* 1/4 (/ b a))))))
#s(approx (* (+ 1/4 (/ (+ (* -1/4 b) 1/2) a)) a) #s(hole binary64 (* a (+ 1/4 (+ (* -1/4 (/ b a)) (* 1/2 (/ 1 a)))))))
#s(approx (+ 1/4 (/ (+ (* -1/4 b) 1/2) a)) #s(hole binary64 1/4))
#s(approx (+ 1/4 (/ (+ (* -1/4 b) 1/2) a)) #s(hole binary64 (+ 1/4 (+ (* -1/4 (/ b a)) (* 1/2 (/ 1 a))))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) 1) #s(hole binary64 (* (pow a 2) (+ 1/2 (/ 1 a)))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) 1) #s(hole binary64 (* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))))
#s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (- (/ (exp a) (+ 1 (exp a))) (* b (exp (neg (+ (* -1 a) (* 2 (log (+ 1 (exp a)))))))))))
#s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (- 1/2 (* 1/4 b)) a)) 1/4)))))
#s(approx (* (+ 1/4 (/ (+ (* -1/4 b) 1/2) a)) a) #s(hole binary64 (* -1 (* a (- (* -1 (/ (+ 1/2 (* -1/4 b)) a)) 1/4)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ (* -1 (* b (exp (- a (* 2 (log (+ 1 (exp a)))))))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) #s(hole binary64 (+ 1/2 (* 1/4 a))))
#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 b) b) 1/48) #s(hole binary64 (* 1/48 (pow b 3))))
#s(approx (* (* b b) b) #s(hole binary64 (pow b 3)))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx b #s(hole binary64 b))
#s(approx (* (+ 1/4 (/ (+ (* -1/4 b) 1/2) a)) a) #s(hole binary64 (* a (+ 1/4 (* 1/2 (/ 1 a))))))
#s(approx (* (+ 1/4 (/ (+ (* -1/4 b) 1/2) a)) a) #s(hole binary64 (+ (* -1/4 b) (* a (+ 1/4 (* 1/2 (/ 1 a)))))))
#s(approx (+ 1/4 (/ (+ (* -1/4 b) 1/2) a)) #s(hole binary64 (+ 1/4 (* 1/2 (/ 1 a)))))
#s(approx (/ (+ (* -1/4 b) 1/2) a) #s(hole binary64 (/ 1/2 a)))
#s(approx (/ (+ (* -1/4 b) 1/2) a) #s(hole binary64 (+ (* -1/4 (/ b a)) (* 1/2 (/ 1 a)))))
#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 (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* -1 (* b (exp (- a (* 2 (log (+ 1 (exp a))))))))))
#s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* b (- (/ (exp a) (* b (+ 1 (exp a)))) (exp (- a (* 2 (log (+ 1 (exp a))))))))))
#s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) #s(hole binary64 (* -1/4 b)))
#s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) #s(hole binary64 (* b (- (+ (* 1/4 (/ a b)) (* 1/2 (/ 1 b))) 1/4))))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(hole binary64 (* (pow b 3) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(hole binary64 (* (pow b 3) (- (+ 1/48 (/ 1/2 (pow b 3))) (* 1/4 (/ 1 (pow b 2)))))))
#s(approx (* (+ 1/4 (/ (+ (* -1/4 b) 1/2) a)) a) #s(hole binary64 (* b (- (/ (* a (+ 1/4 (* 1/2 (/ 1 a)))) b) 1/4))))
#s(approx (+ 1/4 (/ (+ (* -1/4 b) 1/2) a)) #s(hole binary64 (* -1/4 (/ b a))))
#s(approx (+ 1/4 (/ (+ (* -1/4 b) 1/2) a)) #s(hole binary64 (* b (- (+ (/ 1/2 (* a b)) (* 1/4 (/ 1 b))) (* 1/4 (/ 1 a))))))
#s(approx (/ (+ (* -1/4 b) 1/2) a) #s(hole binary64 (* b (- (* 1/2 (/ 1 (* a b))) (* 1/4 (/ 1 a))))))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (* b (- (* 1/2 (/ 1 b)) 1/4))))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (* -1 (exp (- a (* 2 (log (+ 1 (exp a))))))))))))
#s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) #s(hole binary64 (* -1 (* b (+ 1/4 (* -1 (/ (+ 1/2 (* 1/4 a)) b)))))))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(hole binary64 (* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) 1/48)))))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(hole binary64 (* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) (+ 1/48 (/ 1/2 (pow b 3))))))))
#s(approx (* (+ 1/4 (/ (+ (* -1/4 b) 1/2) a)) a) #s(hole binary64 (* -1 (* b (+ 1/4 (* -1 (/ (* a (+ 1/4 (* 1/2 (/ 1 a)))) b)))))))
#s(approx (+ 1/4 (/ (+ (* -1/4 b) 1/2) a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ (+ 1/4 (* 1/2 (/ 1 a))) b)) (* 1/4 (/ 1 a)))))))
#s(approx (/ (+ (* -1/4 b) 1/2) a) #s(hole binary64 (* -1 (* b (- (* 1/4 (/ 1 a)) (* 1/2 (/ 1 (* a 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
@0
((/ (exp a) (+ (exp a) (exp b))) (exp a) a (+ (exp a) (exp b)) (- (exp a) -1) 2 (/ (exp a) (+ (exp a) (exp b))) (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (* 1/4 a) 1/4 (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (* (* (* b b) b) 1/48) (* (* b b) b) (* b b) b 1/48 (/ (exp a) (+ (exp a) (exp b))) (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (* (+ 1/4 (/ (+ (* -1/4 b) 1/2) a)) a) (+ 1/4 (/ (+ (* -1/4 b) 1/2) a)) (/ (+ (* -1/4 b) 1/2) a) (+ (* -1/4 b) 1/2) -1/4 1/2 (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (* (+ (* 1/2 a) 1) a) 1) (* (* a a) 1/2) (* a a) (+ (exp a) (exp b)) (exp b))
5.0ms
b
@-inf
((/ (exp a) (+ (exp a) (exp b))) (exp a) a (+ (exp a) (exp b)) (- (exp a) -1) 2 (/ (exp a) (+ (exp a) (exp b))) (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (* 1/4 a) 1/4 (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (* (* (* b b) b) 1/48) (* (* b b) b) (* b b) b 1/48 (/ (exp a) (+ (exp a) (exp b))) (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (* (+ 1/4 (/ (+ (* -1/4 b) 1/2) a)) a) (+ 1/4 (/ (+ (* -1/4 b) 1/2) a)) (/ (+ (* -1/4 b) 1/2) a) (+ (* -1/4 b) 1/2) -1/4 1/2 (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (* (+ (* 1/2 a) 1) a) 1) (* (* a a) 1/2) (* a a) (+ (exp a) (exp b)) (exp b))
5.0ms
b
@inf
((/ (exp a) (+ (exp a) (exp b))) (exp a) a (+ (exp a) (exp b)) (- (exp a) -1) 2 (/ (exp a) (+ (exp a) (exp b))) (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (* 1/4 a) 1/4 (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (* (* (* b b) b) 1/48) (* (* b b) b) (* b b) b 1/48 (/ (exp a) (+ (exp a) (exp b))) (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (* (+ 1/4 (/ (+ (* -1/4 b) 1/2) a)) a) (+ 1/4 (/ (+ (* -1/4 b) 1/2) a)) (/ (+ (* -1/4 b) 1/2) a) (+ (* -1/4 b) 1/2) -1/4 1/2 (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (* (+ (* 1/2 a) 1) a) 1) (* (* a a) 1/2) (* a a) (+ (exp a) (exp b)) (exp b))
4.0ms
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))) (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (* 1/4 a) 1/4 (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (* (* (* b b) b) 1/48) (* (* b b) b) (* b b) b 1/48 (/ (exp a) (+ (exp a) (exp b))) (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (* (+ 1/4 (/ (+ (* -1/4 b) 1/2) a)) a) (+ 1/4 (/ (+ (* -1/4 b) 1/2) a)) (/ (+ (* -1/4 b) 1/2) a) (+ (* -1/4 b) 1/2) -1/4 1/2 (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (* (+ (* 1/2 a) 1) a) 1) (* (* a a) 1/2) (* a a) (+ (exp a) (exp b)) (exp b))
3.0ms
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))) (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (* 1/4 a) 1/4 (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (* (* (* b b) b) 1/48) (* (* b b) b) (* b b) b 1/48 (/ (exp a) (+ (exp a) (exp b))) (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (* (+ 1/4 (/ (+ (* -1/4 b) 1/2) a)) a) (+ 1/4 (/ (+ (* -1/4 b) 1/2) a)) (/ (+ (* -1/4 b) 1/2) a) (+ (* -1/4 b) 1/2) -1/4 1/2 (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (* (+ (* 1/2 a) 1) a) 1) (* (* a a) 1/2) (* a a) (+ (exp a) (exp b)) (exp b))

rewrite147.0ms (5.2%)

Memory
-14.2MiB live, 172.1MiB allocated; 17ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04282534
04502358
125432313
082262191
Stop Event
iter-limit
node-limit
iter-limit
Counts
123 → 252
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 (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (*.f64 #s(literal 1/4 binary64) a)))
#s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (*.f64 #s(literal 1/4 binary64) a))
(*.f64 #s(literal 1/4 binary64) a)
#s(literal 1/4 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/48 binary64)))))
#s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/48 binary64))))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/48 binary64)))
(*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/48 binary64))
(*.f64 (*.f64 b b) b)
(*.f64 b b)
b
#s(literal 1/48 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a)) a))))
#s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a)) a)))
#s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a)) a))
(*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a)) a)
(+.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a))
(/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a)
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
#s(literal -1/4 binary64)
#s(literal 1/2 binary64)
(/.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))) (+.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))) (exp.f64 b)))
#s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))
(*.f64 (*.f64 a a) #s(literal 1/2 binary64))
(*.f64 a a)
(+.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))) (exp.f64 b))
(exp.f64 b)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (exp a) #s(hole binary64 1))
#s(approx (exp a) #s(hole binary64 (+ 1 a)))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx a #s(hole binary64 a))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))
#s(approx (- (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 (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (- 1/2 (* b (exp (neg (* 2 (log 2))))))))
#s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (- (+ 1/2 (* 1/4 a)) (* b (exp (neg (* 2 (log 2))))))))
#s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (- (+ 1/2 (* a (+ 1/4 (* 1/4 (* a (* b (exp (neg (* 2 (log 2)))))))))) (* b (exp (neg (* 2 (log 2))))))))
#s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (- (+ 1/2 (* a (+ 1/4 (* a (- (* -1/48 a) (* -1/4 (* b (exp (neg (* 2 (log 2))))))))))) (* b (exp (neg (* 2 (log 2))))))))
#s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) #s(hole binary64 (- 1/2 (* 1/4 b))))
#s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) #s(hole binary64 (- (+ 1/2 (* 1/4 a)) (* 1/4 b))))
#s(approx (* 1/4 a) #s(hole binary64 (* 1/4 a)))
#s(approx (* (+ 1/4 (/ (+ (* -1/4 b) 1/2) a)) a) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (* (+ 1/4 (/ (+ (* -1/4 b) 1/2) a)) a) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* 1/4 a)))))
#s(approx (+ 1/4 (/ (+ (* -1/4 b) 1/2) a)) #s(hole binary64 (/ (+ 1/2 (* -1/4 b)) a)))
#s(approx (+ 1/4 (/ (+ (* -1/4 b) 1/2) a)) #s(hole binary64 (/ (+ 1/2 (+ (* -1/4 b) (* 1/4 a))) a)))
#s(approx (* (* a a) 1/2) #s(hole binary64 (* 1/2 (pow a 2))))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#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 (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (- (/ (exp a) (+ 1 (exp a))) (* b (exp (- a (* 2 (log (+ 1 (exp a))))))))))
#s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) #s(hole binary64 (* a (- (+ 1/4 (* 1/2 (/ 1 a))) (* 1/4 (/ b a))))))
#s(approx (* (+ 1/4 (/ (+ (* -1/4 b) 1/2) a)) a) #s(hole binary64 (* a (+ 1/4 (+ (* -1/4 (/ b a)) (* 1/2 (/ 1 a)))))))
#s(approx (+ 1/4 (/ (+ (* -1/4 b) 1/2) a)) #s(hole binary64 1/4))
#s(approx (+ 1/4 (/ (+ (* -1/4 b) 1/2) a)) #s(hole binary64 (+ 1/4 (+ (* -1/4 (/ b a)) (* 1/2 (/ 1 a))))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) 1) #s(hole binary64 (* (pow a 2) (+ 1/2 (/ 1 a)))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) 1) #s(hole binary64 (* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))))
#s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (- (/ (exp a) (+ 1 (exp a))) (* b (exp (neg (+ (* -1 a) (* 2 (log (+ 1 (exp a)))))))))))
#s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (- 1/2 (* 1/4 b)) a)) 1/4)))))
#s(approx (* (+ 1/4 (/ (+ (* -1/4 b) 1/2) a)) a) #s(hole binary64 (* -1 (* a (- (* -1 (/ (+ 1/2 (* -1/4 b)) a)) 1/4)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ (* -1 (* b (exp (- a (* 2 (log (+ 1 (exp a)))))))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) #s(hole binary64 (+ 1/2 (* 1/4 a))))
#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 b) b) 1/48) #s(hole binary64 (* 1/48 (pow b 3))))
#s(approx (* (* b b) b) #s(hole binary64 (pow b 3)))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx b #s(hole binary64 b))
#s(approx (* (+ 1/4 (/ (+ (* -1/4 b) 1/2) a)) a) #s(hole binary64 (* a (+ 1/4 (* 1/2 (/ 1 a))))))
#s(approx (* (+ 1/4 (/ (+ (* -1/4 b) 1/2) a)) a) #s(hole binary64 (+ (* -1/4 b) (* a (+ 1/4 (* 1/2 (/ 1 a)))))))
#s(approx (+ 1/4 (/ (+ (* -1/4 b) 1/2) a)) #s(hole binary64 (+ 1/4 (* 1/2 (/ 1 a)))))
#s(approx (/ (+ (* -1/4 b) 1/2) a) #s(hole binary64 (/ 1/2 a)))
#s(approx (/ (+ (* -1/4 b) 1/2) a) #s(hole binary64 (+ (* -1/4 (/ b a)) (* 1/2 (/ 1 a)))))
#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 (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* -1 (* b (exp (- a (* 2 (log (+ 1 (exp a))))))))))
#s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* b (- (/ (exp a) (* b (+ 1 (exp a)))) (exp (- a (* 2 (log (+ 1 (exp a))))))))))
#s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) #s(hole binary64 (* -1/4 b)))
#s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) #s(hole binary64 (* b (- (+ (* 1/4 (/ a b)) (* 1/2 (/ 1 b))) 1/4))))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(hole binary64 (* (pow b 3) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(hole binary64 (* (pow b 3) (- (+ 1/48 (/ 1/2 (pow b 3))) (* 1/4 (/ 1 (pow b 2)))))))
#s(approx (* (+ 1/4 (/ (+ (* -1/4 b) 1/2) a)) a) #s(hole binary64 (* b (- (/ (* a (+ 1/4 (* 1/2 (/ 1 a)))) b) 1/4))))
#s(approx (+ 1/4 (/ (+ (* -1/4 b) 1/2) a)) #s(hole binary64 (* -1/4 (/ b a))))
#s(approx (+ 1/4 (/ (+ (* -1/4 b) 1/2) a)) #s(hole binary64 (* b (- (+ (/ 1/2 (* a b)) (* 1/4 (/ 1 b))) (* 1/4 (/ 1 a))))))
#s(approx (/ (+ (* -1/4 b) 1/2) a) #s(hole binary64 (* b (- (* 1/2 (/ 1 (* a b))) (* 1/4 (/ 1 a))))))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (* b (- (* 1/2 (/ 1 b)) 1/4))))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (* -1 (exp (- a (* 2 (log (+ 1 (exp a))))))))))))
#s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) #s(hole binary64 (* -1 (* b (+ 1/4 (* -1 (/ (+ 1/2 (* 1/4 a)) b)))))))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(hole binary64 (* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) 1/48)))))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) #s(hole binary64 (* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) (+ 1/48 (/ 1/2 (pow b 3))))))))
#s(approx (* (+ 1/4 (/ (+ (* -1/4 b) 1/2) a)) a) #s(hole binary64 (* -1 (* b (+ 1/4 (* -1 (/ (* a (+ 1/4 (* 1/2 (/ 1 a)))) b)))))))
#s(approx (+ 1/4 (/ (+ (* -1/4 b) 1/2) a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ (+ 1/4 (* 1/2 (/ 1 a))) b)) (* 1/4 (/ 1 a)))))))
#s(approx (/ (+ (* -1/4 b) 1/2) a) #s(hole binary64 (* -1 (* b (- (* 1/4 (/ 1 a)) (* 1/2 (/ 1 (* a b))))))))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))))
Outputs
(/.f64 (neg.f64 (neg.f64 (exp.f64 a))) (neg.f64 (neg.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (exp.f64 a)) (neg.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64)))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64))))
(+.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 (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (*.f64 #s(literal 1/4 binary64) a)))
#s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (*.f64 #s(literal 1/4 binary64) a))
(*.f64 #s(literal 1/4 binary64) a)
(*.f64 a #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/48 binary64)))))
#s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/48 binary64))))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/48 binary64)))
(*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/48 binary64))
(*.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) b))
(*.f64 (*.f64 b b) (*.f64 b #s(literal 1/48 binary64)))
(*.f64 (fabs.f64 (pow.f64 b #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 b #s(literal 3/2 binary64))))
(*.f64 (neg.f64 (pow.f64 b #s(literal 3/2 binary64))) (neg.f64 (pow.f64 b #s(literal 3/2 binary64))))
(*.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64)))
(*.f64 (*.f64 b b) b)
(*.f64 b (*.f64 b b))
(pow.f64 (exp.f64 (log.f64 b)) #s(literal 3 binary64))
(pow.f64 (pow.f64 b #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 b b) #s(literal 3/2 binary64))
(pow.f64 b #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 b) #s(literal 3 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 b) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 b) #s(literal 3 binary64))))
(*.f64 (fabs.f64 (fabs.f64 b)) (fabs.f64 (fabs.f64 b)))
(*.f64 (neg.f64 (fabs.f64 b)) (neg.f64 (fabs.f64 b)))
(*.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 b)))
(*.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)))
(*.f64 (fabs.f64 b) (fabs.f64 b))
(*.f64 (neg.f64 b) (neg.f64 b))
(*.f64 b b)
(pow.f64 (exp.f64 (log.f64 b)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 b) #s(literal 2 binary64))
(pow.f64 (neg.f64 b) #s(literal 2 binary64))
(pow.f64 (*.f64 b b) #s(literal 1 binary64))
(pow.f64 b #s(literal 2 binary64))
(fabs.f64 (*.f64 b b))
(exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))))
b
#s(literal 1/48 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (*.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 (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (*.f64 (+.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) 1/2) (* 1/4 b)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a) #s(literal 1/4 binary64)) a))
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a) #s(literal 1/4 binary64)) a)
(*.f64 a (+.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a) #s(literal 1/4 binary64)))
(fma.f64 #s(literal 1/4 binary64) a (*.f64 a (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a)))
(fma.f64 #s(literal 1/4 binary64) a (*.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a) a))
(fma.f64 a #s(literal 1/4 binary64) (*.f64 a (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a)))
(fma.f64 a #s(literal 1/4 binary64) (*.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a) a))
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(+.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 b) #s(literal 1/4 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))
#s(literal -1/4 binary64)
#s(literal 1/2 binary64)
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#s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))
(*.f64 (*.f64 a a) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 a a))
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(*.f64 (fabs.f64 (fabs.f64 a)) (fabs.f64 (fabs.f64 a)))
(*.f64 (neg.f64 (fabs.f64 a)) (neg.f64 (fabs.f64 a)))
(*.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)))
(*.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 a)))
(*.f64 (fabs.f64 a) (fabs.f64 a))
(*.f64 (neg.f64 a) (neg.f64 a))
(*.f64 a a)
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 a) #s(literal 2 binary64))
(pow.f64 (neg.f64 a) #s(literal 2 binary64))
(pow.f64 (*.f64 a a) #s(literal 1 binary64))
(pow.f64 a #s(literal 2 binary64))
(fabs.f64 (*.f64 a a))
(exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 a) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 a) #s(literal 2 binary64))))
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(exp.f64 b)
(+.f64 (cosh.f64 b) (sinh.f64 b))
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#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)))
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#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 (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
#s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (fma.f64 #s(literal 1/4 binary64) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
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#s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) a (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) b))) a #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) b)))
#s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
#s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (fma.f64 #s(literal 1/4 binary64) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (* 1/4 a) (*.f64 #s(literal 1/4 binary64) a))
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#s(approx (* (* a a) 1/2) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))
#s(approx (* a a) (*.f64 a a))
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#s(approx (exp a) (exp.f64 a))
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#s(approx (- (exp a) -1) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
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#s(approx (+ 1/4 (/ (+ (* -1/4 b) 1/2) a)) #s(literal 1/4 binary64))
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#s(approx (+ (exp a) (exp b)) (+.f64 (+.f64 b (exp.f64 a)) #s(literal 1 binary64)))
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#s(approx (+ (exp a) (exp b)) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b (exp.f64 a)) #s(literal 1 binary64)))
#s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (+.f64 (neg.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)))) b)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))
#s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64))
#s(approx (/ 1 (- (exp b) -1)) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))
#s(approx (/ 1 (- (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) b) 1/48) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/48 binary64)))
#s(approx (* (* b b) b) (*.f64 (*.f64 b b) b))
#s(approx (* b b) (*.f64 b b))
#s(approx b b)
#s(approx (* (+ 1/4 (/ (+ (* -1/4 b) 1/2) a)) a) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/4 binary64)) a))
#s(approx (* (+ 1/4 (/ (+ (* -1/4 b) 1/2) a)) a) (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/4 binary64)) a (*.f64 #s(literal -1/4 binary64) b)))
#s(approx (+ 1/4 (/ (+ (* -1/4 b) 1/2) a)) (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/4 binary64)))
#s(approx (/ (+ (* -1/4 b) 1/2) a) (/.f64 #s(literal 1/2 binary64) a))
#s(approx (/ (+ (* -1/4 b) 1/2) a) (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a))
#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 (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (neg.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)))) b)))
#s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (*.f64 (-.f64 (/.f64 (exp.f64 a) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) (exp.f64 (-.f64 a (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64))))) b))
#s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (*.f64 #s(literal -1/4 binary64) b))
#s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)) b) #s(literal 1/4 binary64)) b))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 b b))) (*.f64 (*.f64 b b) b)))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) b)) #s(literal 1/48 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 b b))) (*.f64 (*.f64 b b) b)))
#s(approx (* (+ 1/4 (/ (+ (* -1/4 b) 1/2) a)) a) (*.f64 (-.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/4 binary64)) a) b) #s(literal 1/4 binary64)) b))
#s(approx (+ 1/4 (/ (+ (* -1/4 b) 1/2) a)) (*.f64 (/.f64 b a) #s(literal -1/4 binary64)))
#s(approx (+ 1/4 (/ (+ (* -1/4 b) 1/2) a)) (*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/4 binary64)) b) (/.f64 #s(literal 1/4 binary64) a)) b))
#s(approx (/ (+ (* -1/4 b) 1/2) a) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (/.f64 #s(literal 1/4 binary64) a)) b))
#s(approx (+ (* -1/4 b) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/4 binary64)) b))
#s(approx (exp b) (exp.f64 b))
#s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (exp.f64 a) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))) (neg.f64 (exp.f64 (-.f64 a (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)))))) b)))
#s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)) b)) #s(literal 1/4 binary64)) b)))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 b b)) #s(literal 1/48 binary64)) (*.f64 (*.f64 b b) b))))
#s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (neg.f64 (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 b b)) #s(literal 1/48 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) b))) (*.f64 (*.f64 b b) b))))
#s(approx (* (+ 1/4 (/ (+ (* -1/4 b) 1/2) a)) a) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/4 binary64)) a) b)) #s(literal 1/4 binary64)) b)))
#s(approx (+ 1/4 (/ (+ (* -1/4 b) 1/2) a)) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/4 binary64)) b)) (/.f64 #s(literal 1/4 binary64) a)) b)))
#s(approx (/ (+ (* -1/4 b) 1/2) a) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))) b)))
#s(approx (+ (* -1/4 b) 1/2) (neg.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) b)) b)))

eval24.0ms (0.8%)

Memory
35.4MiB live, 35.4MiB allocated; 0ms collecting garbage
Compiler

Compiled 3 392 to 1 455 computations (57.1% saved)

prune23.0ms (0.8%)

Memory
-15.1MiB live, 39.5MiB allocated; 7ms collecting garbage
Pruning

22 alts after pruning (15 fresh and 7 done)

PrunedKeptTotal
New2186224
Fresh1910
Picked235
Done044
Total22122243
Accuracy
99.9%
Counts
243 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
41.0%
(/.f64 (+.f64 (cosh.f64 a) (sinh.f64 a)) #s(approx (+ (exp a) (exp b)) (-.f64 (+.f64 (cosh.f64 a) (sinh.f64 a)) #s(literal -1 binary64))))
69.5%
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
68.0%
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64))))
38.8%
(/.f64 #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))) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64)))))
38.8%
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
39.1%
(/.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))))
29.4%
(/.f64 #s(approx (exp a) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (*.f64 (*.f64 (*.f64 a a) a) #s(literal 1/6 binary64)))) (+.f64 #s(approx (exp a) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (*.f64 (*.f64 (*.f64 a a) a) #s(literal 1/6 binary64)))) (exp.f64 b)))
14.9%
(/.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))) (+.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
81.2%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
51.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
38.7%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
37.7%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
38.5%
#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))))
12.0%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/48 binary64)))))
12.0%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (*.f64 b b) (*.f64 b #s(literal 1/48 binary64))))))
3.9%
#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)))
38.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (-.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) a) (*.f64 #s(literal 1/4 binary64) a)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/4 binary64) b))))
40.9%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
40.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (*.f64 (+.f64 #s(literal 1/4 binary64) #s(approx (/ (+ (* -1/4 b) 1/2) a) (/.f64 #s(literal 1/2 binary64) a))) a))))
11.1%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (*.f64 #s(approx (+ 1/4 (/ (+ (* -1/4 b) 1/2) a)) (*.f64 (/.f64 b a) #s(literal -1/4 binary64))) a))))
3.6%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (*.f64 #s(literal 1/4 binary64) a))))
Compiler

Compiled 840 to 636 computations (24.3% saved)

regimes42.0ms (1.5%)

Memory
-24.3MiB live, 66.3MiB allocated; 6ms collecting garbage
Counts
33 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (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))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (*.f64 b b) (*.f64 b #s(literal 1/48 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/48 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (*.f64 (+.f64 #s(literal 1/4 binary64) #s(approx (/ (+ (* -1/4 b) 1/2) a) (/.f64 #s(literal 1/2 binary64) a))) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (*.f64 #s(approx (+ 1/4 (/ (+ (* -1/4 b) 1/2) a)) (*.f64 (/.f64 b a) #s(literal -1/4 binary64))) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (fma.f64 a #s(literal 1/4 binary64) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (-.f64 (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (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))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a)) a))))
(/.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) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))) (+.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
(/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (-.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) a) (*.f64 #s(literal 1/4 binary64) a)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/4 binary64) b))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(/.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))) (+.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))) (exp.f64 b)))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
(/.f64 #s(approx (exp a) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (*.f64 (*.f64 (*.f64 a a) a) #s(literal 1/6 binary64)))) (+.f64 #s(approx (exp a) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (*.f64 (*.f64 (*.f64 a a) a) #s(literal 1/6 binary64)))) (exp.f64 b)))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 #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))) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64)))))
(/.f64 #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))) (+.f64 #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))) (exp.f64 b)))
(/.f64 (+.f64 (cosh.f64 a) (sinh.f64 a)) #s(approx (+ (exp a) (exp b)) (-.f64 (+.f64 (cosh.f64 a) (sinh.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)))))
(/.f64 (+.f64 (cosh.f64 a) (sinh.f64 a)) (+.f64 (+.f64 (cosh.f64 a) (sinh.f64 a)) (exp.f64 b)))
#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)))))
Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Calls

5 calls:

11.0ms
b
9.0ms
a
7.0ms
(exp.f64 b)
6.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
6.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
99.2%1(exp.f64 b)
99.2%1(exp.f64 a)
99.2%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
99.2%1a
99.2%1b
Compiler

Compiled 13 to 16 computations (-23.1% saved)

regimes33.0ms (1.2%)

Memory
9.4MiB live, 54.4MiB allocated; 2ms collecting garbage
Counts
26 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (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))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (*.f64 b b) (*.f64 b #s(literal 1/48 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/48 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (*.f64 (+.f64 #s(literal 1/4 binary64) #s(approx (/ (+ (* -1/4 b) 1/2) a) (/.f64 #s(literal 1/2 binary64) a))) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (*.f64 #s(approx (+ 1/4 (/ (+ (* -1/4 b) 1/2) a)) (*.f64 (/.f64 b a) #s(literal -1/4 binary64))) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (fma.f64 a #s(literal 1/4 binary64) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (-.f64 (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (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))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a)) a))))
(/.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) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))) (+.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
(/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (-.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) a) (*.f64 #s(literal 1/4 binary64) a)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/4 binary64) b))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(/.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))) (+.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))) (exp.f64 b)))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
(/.f64 #s(approx (exp a) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (*.f64 (*.f64 (*.f64 a a) a) #s(literal 1/6 binary64)))) (+.f64 #s(approx (exp a) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (*.f64 (*.f64 (*.f64 a a) a) #s(literal 1/6 binary64)))) (exp.f64 b)))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (exp.f64 b)))
Outputs
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (exp.f64 b)))
Calls

5 calls:

7.0ms
b
7.0ms
a
7.0ms
(exp.f64 a)
5.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
5.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
99.6%3(exp.f64 b)
99.1%2(exp.f64 a)
83.6%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
99.1%2a
99.6%3b
Compiler

Compiled 13 to 16 computations (-23.1% saved)

regimes13.0ms (0.5%)

Memory
24.8MiB live, 24.8MiB allocated; 0ms collecting garbage
Counts
25 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (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))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (*.f64 b b) (*.f64 b #s(literal 1/48 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/48 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (*.f64 (+.f64 #s(literal 1/4 binary64) #s(approx (/ (+ (* -1/4 b) 1/2) a) (/.f64 #s(literal 1/2 binary64) a))) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (*.f64 #s(approx (+ 1/4 (/ (+ (* -1/4 b) 1/2) a)) (*.f64 (/.f64 b a) #s(literal -1/4 binary64))) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (fma.f64 a #s(literal 1/4 binary64) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (-.f64 (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (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))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a)) a))))
(/.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) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))) (+.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
(/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (-.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) a) (*.f64 #s(literal 1/4 binary64) a)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/4 binary64) b))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(/.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))) (+.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))) (exp.f64 b)))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
(/.f64 #s(approx (exp a) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (*.f64 (*.f64 (*.f64 a a) a) #s(literal 1/6 binary64)))) (+.f64 #s(approx (exp a) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (*.f64 (*.f64 (*.f64 a a) a) #s(literal 1/6 binary64)))) (exp.f64 b)))
Outputs
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64))))
(/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b)))
Calls

2 calls:

7.0ms
a
5.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
98.9%2(exp.f64 a)
98.9%2a
Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes143.0ms (5.1%)

Memory
-39.0MiB live, 17.2MiB allocated; 174ms 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 (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (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))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (*.f64 b b) (*.f64 b #s(literal 1/48 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/48 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (*.f64 (+.f64 #s(literal 1/4 binary64) #s(approx (/ (+ (* -1/4 b) 1/2) a) (/.f64 #s(literal 1/2 binary64) a))) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (*.f64 #s(approx (+ 1/4 (/ (+ (* -1/4 b) 1/2) a)) (*.f64 (/.f64 b a) #s(literal -1/4 binary64))) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (fma.f64 a #s(literal 1/4 binary64) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (-.f64 (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (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))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a)) a))))
(/.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) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))) (+.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))) #s(approx (exp 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) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
Calls

2 calls:

138.0ms
a
4.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
98.2%2(exp.f64 a)
98.2%2a
Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes21.0ms (0.8%)

Memory
39.3MiB live, 39.3MiB allocated; 0ms collecting garbage
Counts
17 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (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))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (*.f64 b b) (*.f64 b #s(literal 1/48 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/48 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (*.f64 (+.f64 #s(literal 1/4 binary64) #s(approx (/ (+ (* -1/4 b) 1/2) a) (/.f64 #s(literal 1/2 binary64) a))) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (*.f64 #s(approx (+ 1/4 (/ (+ (* -1/4 b) 1/2) a)) (*.f64 (/.f64 b a) #s(literal -1/4 binary64))) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (fma.f64 a #s(literal 1/4 binary64) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (-.f64 (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (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))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a)) a))))
(/.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) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
Calls

5 calls:

5.0ms
a
5.0ms
b
4.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
3.0ms
(exp.f64 a)
3.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
68.0%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
70.7%2(exp.f64 b)
74.5%2b
73.0%2(exp.f64 a)
73.2%2a
Compiler

Compiled 13 to 16 computations (-23.1% saved)

regimes24.0ms (0.9%)

Memory
-28.5MiB live, 24.9MiB allocated; 12ms collecting garbage
Counts
14 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (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))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (*.f64 b b) (*.f64 b #s(literal 1/48 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/48 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (*.f64 (+.f64 #s(literal 1/4 binary64) #s(approx (/ (+ (* -1/4 b) 1/2) a) (/.f64 #s(literal 1/2 binary64) a))) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (*.f64 #s(approx (+ 1/4 (/ (+ (* -1/4 b) 1/2) a)) (*.f64 (/.f64 b a) #s(literal -1/4 binary64))) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (fma.f64 a #s(literal 1/4 binary64) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (-.f64 (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (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))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (*.f64 b b) (*.f64 b #s(literal 1/48 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
Calls

5 calls:

10.0ms
b
4.0ms
a
3.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
3.0ms
(exp.f64 a)
3.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
54.4%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
54.3%2(exp.f64 b)
54.7%2(exp.f64 a)
55.1%2a
54.3%2b
Compiler

Compiled 13 to 16 computations (-23.1% saved)

regimes17.0ms (0.6%)

Memory
-12.8MiB live, 33.3MiB allocated; 2ms collecting garbage
Counts
12 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (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))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (*.f64 b b) (*.f64 b #s(literal 1/48 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/48 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (*.f64 (+.f64 #s(literal 1/4 binary64) #s(approx (/ (+ (* -1/4 b) 1/2) a) (/.f64 #s(literal 1/2 binary64) a))) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (*.f64 #s(approx (+ 1/4 (/ (+ (* -1/4 b) 1/2) a)) (*.f64 (/.f64 b a) #s(literal -1/4 binary64))) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (fma.f64 a #s(literal 1/4 binary64) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) (-.f64 (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) b))))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* (- (* (* b b) 1/48) 1/4) b) 1/2) (*.f64 (*.f64 b b) (*.f64 b #s(literal 1/48 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
Calls

5 calls:

5.0ms
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
40.9%1(exp.f64 b)
40.9%1b
50.4%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
50.7%2(exp.f64 a)
50.7%2a
Compiler

Compiled 13 to 16 computations (-23.1% saved)

regimes10.0ms (0.4%)

Memory
15.1MiB live, 15.1MiB allocated; 0ms collecting garbage
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (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))))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (neg (* b (exp (- a (* (log (- (exp a) -1)) 2))))) (/ (exp a) (- (exp a) -1))) #s(approx (- (+ (* 1/4 a) 1/2) (* 1/4 b)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
Calls

5 calls:

2.0ms
b
2.0ms
a
2.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
2.0ms
(exp.f64 a)
2.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
40.9%1(exp.f64 b)
40.9%1b
40.9%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
40.9%1(exp.f64 a)
40.9%1a
Compiler

Compiled 13 to 16 computations (-23.1% saved)

regimes7.0ms (0.2%)

Memory
11.4MiB live, 11.4MiB allocated; 0ms collecting garbage
Accuracy

Total -24.3b remaining (-64%)

Threshold costs -24.3b (-64%)

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

5 calls:

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

Compiled 13 to 16 computations (-23.1% saved)

bsearch13.0ms (0.5%)

Memory
-23.4MiB live, 21.9MiB allocated; 2ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
-1159.4911892370314
-0.8957815131255618
Samples
7.0ms128×0valid
Compiler

Compiled 235 to 211 computations (10.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-exp: 2.0ms (66.3% of total)
ival-div!: 1.0ms (33.1% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
-1159.4911892370314
-0.8957815131255618
Compiler

Compiled 211 to 195 computations (7.6% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
-1159.4911892370314
-0.8957815131255618
Compiler

Compiled 219 to 219 computations (0% saved)

bsearch11.0ms (0.4%)

Memory
10.7MiB live, 10.7MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
9.0ms
4.1194971836900005e+151
8.749371428549681e+154
Samples
5.0ms128×0valid
Compiler

Compiled 259 to 251 computations (3.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-exp: 2.0ms (76.2% of total)
ival-div!: 1.0ms (38.1% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)

bsearch11.0ms (0.4%)

Memory
22.4MiB live, 22.4MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
10.0ms
-28880884062022726000.0
-1857988869699941000.0
Samples
4.0ms96×0valid
1.0ms31×0exit
Compiler

Compiled 281 to 269 computations (4.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-exp: 2.0ms (79.5% of total)
ival-div!: 1.0ms (39.8% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)

bsearch13.0ms (0.4%)

Memory
-40.3MiB live, 10.1MiB allocated; 6ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
-4625629.492322872
-215325.90743132538
Samples
5.0ms112×0valid
Compiler

Compiled 438 to 403 computations (8% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-exp: 2.0ms (73.5% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)
ival-div!: 0.0ms (0% of total)

derivations400.0ms (14.2%)

Memory
9.7MiB live, 385.9MiB allocated; 55ms collecting garbage
Stop Event
fuel
Compiler

Compiled 125 to 88 computations (29.6% saved)

preprocess81.0ms (2.9%)

Memory
36.8MiB live, 128.2MiB allocated; 7ms collecting garbage
Compiler

Compiled 140 to 101 computations (27.9% saved)

end0.0ms (0%)

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

Profiling

Loading profile data...