symmetry log of sum of exp

Time bar (total: 7.5s)

start0.0ms (0%)

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

analyze157.0ms (2.1%)

Memory
8.1MiB live, 342.1MiB allocated; 57ms 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
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
25%25%74.9%0.1%0%0%0%4
50%50%50%0.1%0%0%0%5
50%50%50%0.1%0%0%0%6
50%50%50%0.1%0%0%0%7
50%50%50%0.1%0%0%0%8
50%50%50%0.1%0%0%0%9
50%50%50%0.1%0%0%0%10
50%50%50%0.1%0%0%0%11
50%50%50%0.1%0%0%0%12
Compiler

Compiled 8 to 8 computations (0% saved)

sample4.8s (63.9%)

Memory
195.9MiB live, 7 018.8MiB allocated; 1.0s collecting garbage
Samples
2.1s7 877×5exit
912.0ms1 679×2valid
622.0ms2 252×1valid
283.0ms4 325×0valid
Precisions
Click to see histograms. Total time spent on operations: 3.1s
ival-log: 1.2s (37.9% of total)
ival-exp: 932.0ms (29.6% of total)
adjust: 866.0ms (27.5% of total)
ival-add!: 157.0ms (5% of total)
Bogosity

preprocess25.0ms (0.3%)

Memory
-24.6MiB live, 19.5MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01842
13742
210242
345442
4223742
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.4%
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Symmetry

(sort a b)

Compiler

Compiled 12 to 12 computations (0% saved)

series88.0ms (1.2%)

Memory
12.6MiB live, 156.9MiB allocated; 17ms collecting garbage
Counts
6 → 30
Calls
Call 1
Inputs
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(+.f64 (exp.f64 a) (exp.f64 b))
(exp.f64 a)
a
(exp.f64 b)
b
Outputs
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp b)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))
#s(approx (exp a) #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 (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ (exp a) (exp b)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (exp b) #s(hole binary64 1))
#s(approx (exp b) #s(hole binary64 (+ 1 b)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx b #s(hole binary64 b))
#s(approx (exp b) #s(hole binary64 (exp b)))
Calls

6 calls:

TimeVariablePointExpression
33.0ms
a
@inf
((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) a (exp b) b)
22.0ms
a
@-inf
((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) a (exp b) b)
17.0ms
b
@-inf
((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) a (exp b) b)
14.0ms
b
@inf
((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) a (exp b) b)
1.0ms
a
@0
((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) a (exp b) b)

rewrite162.0ms (2.2%)

Memory
22.2MiB live, 216.0MiB allocated; 34ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0133549
0137533
1892533
08072485
Stop Event
iter-limit
node-limit
iter-limit
Counts
36 → 53
Calls
Call 1
Inputs
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(+.f64 (exp.f64 a) (exp.f64 b))
(exp.f64 a)
a
(exp.f64 b)
b
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp b)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))
#s(approx (exp a) #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 (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ (exp a) (exp b)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (exp b) #s(hole binary64 1))
#s(approx (exp b) #s(hole binary64 (+ 1 b)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx b #s(hole binary64 b))
#s(approx (exp b) #s(hole binary64 (exp b)))
Outputs
(-.f64 (log.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (log.f64 (-.f64 (exp.f64 a) (exp.f64 b))))
(-.f64 (log.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (log.f64 (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a))) (-.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (+.f64 (exp.f64 (*.f64 b #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 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 (*.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 (log (+ (exp a) (exp b))) (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (fma.f64 a (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))) (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) (-.f64 (fma.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -3 binary64)) #s(literal 2 binary64) (/.f64 #s(literal 1 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 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))) #s(literal 1/2 binary64))) a (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))) a (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
#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) #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 (log (+ (exp a) (exp b))) (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
#s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 b) (exp.f64 a)))
#s(approx (exp a) (exp.f64 a))
#s(approx (log (+ (exp a) (exp b))) (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (fma.f64 b (fma.f64 (*.f64 #s(literal 1/2 binary64) b) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64)))) (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) (-.f64 (fma.f64 (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal -3 binary64)) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64)))) (*.f64 (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal -2 binary64)) #s(literal 3 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal -2 binary64))) #s(literal 1/2 binary64))) b (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64)))) b (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
#s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64)))
#s(approx (+ (exp a) (exp b)) (-.f64 (+.f64 (exp.f64 a) b) #s(literal -1 binary64)))
#s(approx (+ (exp a) (exp b)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (exp.f64 a)) #s(literal -1 binary64)))
#s(approx (+ (exp a) (exp b)) (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b (exp.f64 a)) #s(literal -1 binary64)))
#s(approx (exp b) #s(literal 1 binary64))
#s(approx (exp b) (-.f64 b #s(literal -1 binary64)))
#s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
#s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
#s(approx b b)
#s(approx (exp b) (exp.f64 b))

eval5.0ms (0.1%)

Memory
7.4MiB live, 7.4MiB allocated; 0ms collecting garbage
Compiler

Compiled 536 to 238 computations (55.6% saved)

prune16.0ms (0.2%)

Memory
-38.0MiB live, 9.2MiB allocated; 1ms collecting garbage
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New371148
Fresh000
Picked011
Done000
Total371249
Accuracy
98.8%
Counts
49 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.4%
(-.f64 (log.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (log.f64 (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))))))
52.4%
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
50.2%
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))
47.6%
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b)))
51.0%
(log.f64 #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))))
47.9%
(log.f64 #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))))
50.6%
(log.f64 #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))))
49.2%
(log.f64 #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))))
49.2%
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
48.7%
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
97.1%
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
48.9%
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
Compiler

Compiled 300 to 292 computations (2.7% saved)

series115.0ms (1.5%)

Memory
33.0MiB live, 172.8MiB allocated; 16ms collecting garbage
Counts
30 → 122
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
(+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))
b
(-.f64 (exp.f64 a) #s(literal -1 binary64))
(exp.f64 a)
a
#s(literal -1 binary64)
(log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)))
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
#s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64)))
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b)))
(+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b))
#s(approx (exp a) (-.f64 a #s(literal -1 binary64)))
(-.f64 a #s(literal -1 binary64))
(exp.f64 b)
(log.f64 #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 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (exp.f64 b)) #s(literal -1 binary64)))
(-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (exp.f64 b)) #s(literal -1 binary64))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (exp.f64 b))
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(log.f64 #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 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)))
(-.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))
(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))
(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)
Outputs
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp b)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b)))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- (+ 1/8 (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))) (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))))
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (* 1/2 b)))
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (+ (* -1/4 (* a b)) (* 1/2 b))))
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))))
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (+ (* 1/2 b) (* a (- (* a (- (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))))) (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))))
#s(approx (- (exp a) -1) #s(hole binary64 2))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 a)))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 (* a (+ 1 (* 1/2 a))))))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (exp a) #s(hole binary64 1))
#s(approx (exp a) #s(hole binary64 (+ 1 a)))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx a #s(hole binary64 a))
#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) (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 (- a -1) #s(hole binary64 1))
#s(approx (- a -1) #s(hole binary64 (+ 1 a)))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (+ 1 (exp b))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) #s(hole binary64 (exp b)))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) #s(hole binary64 (+ a (exp b))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) #s(hole binary64 (+ (exp b) (* a (+ 1 (* 1/2 a))))))
#s(approx (+ (* 1/2 a) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 a) 1) #s(hole binary64 (+ 1 (* 1/2 a))))
#s(approx (- (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (exp b)) -1) #s(hole binary64 (+ 1 (exp b))))
#s(approx (- (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (exp b)) -1) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (- (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (exp b)) -1) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (- (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (exp b)) -1) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (exp b)) #s(hole binary64 (exp b)))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (exp b)) #s(hole binary64 (+ a (exp b))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (exp b)) #s(hole binary64 (+ (exp b) (* a (+ 1 (* 1/2 a))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (exp b)) #s(hole binary64 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 1))
#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 (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ (exp a) (exp b)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 1 (exp a))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (log (- (exp a) -1)) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b))))
#s(approx (- a -1) #s(hole binary64 a))
#s(approx (- a -1) #s(hole binary64 (* a (+ 1 (/ 1 a)))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (* 1/2 (pow a 2))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (* (pow a 2) (+ 1/2 (/ 1 a)))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (* (pow a 2) (+ 1/2 (+ (/ 1 a) (+ (/ 1 (pow a 2)) (/ (exp b) (pow a 2))))))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) #s(hole binary64 (* 1/2 (pow a 2))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) #s(hole binary64 (* (pow a 2) (+ 1/2 (/ 1 a)))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) #s(hole binary64 (* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ (exp b) (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 (- (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (exp b)) -1) #s(hole binary64 (* 1/6 (pow a 3))))
#s(approx (- (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (exp b)) -1) #s(hole binary64 (* (pow a 3) (+ 1/6 (* 1/2 (/ 1 a))))))
#s(approx (- (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (exp b)) -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) (exp b)) -1) #s(hole binary64 (* (pow a 3) (+ 1/6 (+ (* 1/2 (/ 1 a)) (+ (/ 1 (pow a 2)) (+ (/ 1 (pow a 3)) (/ (exp b) (pow a 3)))))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (exp b)) #s(hole binary64 (* 1/6 (pow a 3))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (exp b)) #s(hole binary64 (* (pow a 3) (+ 1/6 (* 1/2 (/ 1 a))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (exp b)) #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) (exp b)) #s(hole binary64 (* (pow a 3) (+ 1/6 (+ (* 1/2 (/ 1 a)) (+ (/ 1 (pow a 2)) (/ (exp b) (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 (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (* (pow a 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp b)) a)) 1) a))))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) #s(hole binary64 (* (pow a 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (exp b) a)) 1) a))))))
#s(approx (- (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (exp b)) -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) (exp b)) -1) #s(hole binary64 (* -1 (* (pow a 3) (- (* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp b)) a)) 1) a))) a)) 1/6)))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (exp b)) #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) (exp b)) #s(hole binary64 (* -1 (* (pow a 3) (- (* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (exp b) a)) 1) a))) a)) 1/6)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx b #s(hole binary64 b))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (exp b) #s(hole binary64 1))
#s(approx (exp b) #s(hole binary64 (+ 1 b)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (+ 2 (* a (+ 1 (* 1/2 a))))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (+ 2 (+ b (* a (+ 1 (* 1/2 a)))))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* 1/2 b)))))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) #s(hole binary64 (+ 1 (+ b (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) #s(hole binary64 (+ 1 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) #s(hole binary64 (+ 1 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (- (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (exp b)) -1) #s(hole binary64 (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (- (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (exp b)) -1) #s(hole binary64 (+ 2 (+ b (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))
#s(approx (- (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (exp b)) -1) #s(hole binary64 (+ 2 (+ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (* b (+ 1 (* 1/2 b)))))))
#s(approx (- (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (exp b)) -1) #s(hole binary64 (+ 2 (+ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (exp b)) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (exp b)) #s(hole binary64 (+ 1 (+ b (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (exp b)) #s(hole binary64 (+ 1 (+ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (exp b)) #s(hole binary64 (+ 1 (+ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(hole binary64 (* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))))
Calls

6 calls:

TimeVariablePointExpression
42.0ms
a
@inf
((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (/ b (- (exp a) -1)) b (- (exp a) -1) (exp a) a -1 (log (- (exp a) -1)) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (- a -1) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (+ (* (+ (* 1/2 a) 1) a) (exp b)) (+ (* 1/2 a) 1) 1/2 1 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (exp b)) -1) (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (exp b)) (+ (* (+ (* 1/6 a) 1/2) a) 1) (+ (* 1/6 a) 1/2) 1/6)
25.0ms
a
@-inf
((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (/ b (- (exp a) -1)) b (- (exp a) -1) (exp a) a -1 (log (- (exp a) -1)) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (- a -1) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (+ (* (+ (* 1/2 a) 1) a) (exp b)) (+ (* 1/2 a) 1) 1/2 1 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (exp b)) -1) (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (exp b)) (+ (* (+ (* 1/6 a) 1/2) a) 1) (+ (* 1/6 a) 1/2) 1/6)
18.0ms
a
@0
((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (/ b (- (exp a) -1)) b (- (exp a) -1) (exp a) a -1 (log (- (exp a) -1)) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (- a -1) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (+ (* (+ (* 1/2 a) 1) a) (exp b)) (+ (* 1/2 a) 1) 1/2 1 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (exp b)) -1) (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (exp b)) (+ (* (+ (* 1/6 a) 1/2) a) 1) (+ (* 1/6 a) 1/2) 1/6)
13.0ms
b
@-inf
((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (/ b (- (exp a) -1)) b (- (exp a) -1) (exp a) a -1 (log (- (exp a) -1)) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (- a -1) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (+ (* (+ (* 1/2 a) 1) a) (exp b)) (+ (* 1/2 a) 1) 1/2 1 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (exp b)) -1) (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (exp b)) (+ (* (+ (* 1/6 a) 1/2) a) 1) (+ (* 1/6 a) 1/2) 1/6)
10.0ms
b
@inf
((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (/ b (- (exp a) -1)) b (- (exp a) -1) (exp a) a -1 (log (- (exp a) -1)) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (- a -1) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (+ (* (+ (* 1/2 a) 1) a) (exp b)) (+ (* 1/2 a) 1) 1/2 1 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (exp b)) -1) (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (exp b)) (+ (* (+ (* 1/6 a) 1/2) a) 1) (+ (* 1/6 a) 1/2) 1/6)

rewrite675.0ms (9%)

Memory
-179.1MiB live, 248.2MiB allocated; 1.0s collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04222739
04572577
126452571
082672436
Stop Event
iter-limit
node-limit
iter-limit
Counts
152 → 339
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
(+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))
b
(-.f64 (exp.f64 a) #s(literal -1 binary64))
(exp.f64 a)
a
#s(literal -1 binary64)
(log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)))
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
#s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64)))
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b)))
(+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b))
#s(approx (exp a) (-.f64 a #s(literal -1 binary64)))
(-.f64 a #s(literal -1 binary64))
(exp.f64 b)
(log.f64 #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 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (exp.f64 b)) #s(literal -1 binary64)))
(-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (exp.f64 b)) #s(literal -1 binary64))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (exp.f64 b))
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(log.f64 #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 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)))
(-.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))
(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))
(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)
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp b)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b)))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- (+ 1/8 (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))) (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))))
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (* 1/2 b)))
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (+ (* -1/4 (* a b)) (* 1/2 b))))
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))))
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (+ (* 1/2 b) (* a (- (* a (- (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))))) (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))))
#s(approx (- (exp a) -1) #s(hole binary64 2))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 a)))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 (* a (+ 1 (* 1/2 a))))))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (exp a) #s(hole binary64 1))
#s(approx (exp a) #s(hole binary64 (+ 1 a)))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx a #s(hole binary64 a))
#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) (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 (- a -1) #s(hole binary64 1))
#s(approx (- a -1) #s(hole binary64 (+ 1 a)))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (+ 1 (exp b))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) #s(hole binary64 (exp b)))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) #s(hole binary64 (+ a (exp b))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) #s(hole binary64 (+ (exp b) (* a (+ 1 (* 1/2 a))))))
#s(approx (+ (* 1/2 a) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 a) 1) #s(hole binary64 (+ 1 (* 1/2 a))))
#s(approx (- (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (exp b)) -1) #s(hole binary64 (+ 1 (exp b))))
#s(approx (- (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (exp b)) -1) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (- (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (exp b)) -1) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (- (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (exp b)) -1) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (exp b)) #s(hole binary64 (exp b)))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (exp b)) #s(hole binary64 (+ a (exp b))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (exp b)) #s(hole binary64 (+ (exp b) (* a (+ 1 (* 1/2 a))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (exp b)) #s(hole binary64 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 1))
#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 (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ (exp a) (exp b)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 1 (exp a))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (log (- (exp a) -1)) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b))))
#s(approx (- a -1) #s(hole binary64 a))
#s(approx (- a -1) #s(hole binary64 (* a (+ 1 (/ 1 a)))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (* 1/2 (pow a 2))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (* (pow a 2) (+ 1/2 (/ 1 a)))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (* (pow a 2) (+ 1/2 (+ (/ 1 a) (+ (/ 1 (pow a 2)) (/ (exp b) (pow a 2))))))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) #s(hole binary64 (* 1/2 (pow a 2))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) #s(hole binary64 (* (pow a 2) (+ 1/2 (/ 1 a)))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) #s(hole binary64 (* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ (exp b) (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 (- (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (exp b)) -1) #s(hole binary64 (* 1/6 (pow a 3))))
#s(approx (- (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (exp b)) -1) #s(hole binary64 (* (pow a 3) (+ 1/6 (* 1/2 (/ 1 a))))))
#s(approx (- (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (exp b)) -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) (exp b)) -1) #s(hole binary64 (* (pow a 3) (+ 1/6 (+ (* 1/2 (/ 1 a)) (+ (/ 1 (pow a 2)) (+ (/ 1 (pow a 3)) (/ (exp b) (pow a 3)))))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (exp b)) #s(hole binary64 (* 1/6 (pow a 3))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (exp b)) #s(hole binary64 (* (pow a 3) (+ 1/6 (* 1/2 (/ 1 a))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (exp b)) #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) (exp b)) #s(hole binary64 (* (pow a 3) (+ 1/6 (+ (* 1/2 (/ 1 a)) (+ (/ 1 (pow a 2)) (/ (exp b) (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 (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (* (pow a 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp b)) a)) 1) a))))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) #s(hole binary64 (* (pow a 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (exp b) a)) 1) a))))))
#s(approx (- (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (exp b)) -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) (exp b)) -1) #s(hole binary64 (* -1 (* (pow a 3) (- (* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp b)) a)) 1) a))) a)) 1/6)))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (exp b)) #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) (exp b)) #s(hole binary64 (* -1 (* (pow a 3) (- (* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (exp b) a)) 1) a))) a)) 1/6)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx b #s(hole binary64 b))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (exp b) #s(hole binary64 1))
#s(approx (exp b) #s(hole binary64 (+ 1 b)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (+ 2 (* a (+ 1 (* 1/2 a))))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (+ 2 (+ b (* a (+ 1 (* 1/2 a)))))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* 1/2 b)))))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) #s(hole binary64 (+ 1 (+ b (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) #s(hole binary64 (+ 1 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) #s(hole binary64 (+ 1 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (- (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (exp b)) -1) #s(hole binary64 (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (- (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (exp b)) -1) #s(hole binary64 (+ 2 (+ b (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))
#s(approx (- (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (exp b)) -1) #s(hole binary64 (+ 2 (+ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (* b (+ 1 (* 1/2 b)))))))
#s(approx (- (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (exp b)) -1) #s(hole binary64 (+ 2 (+ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (exp b)) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (exp b)) #s(hole binary64 (+ 1 (+ b (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (exp b)) #s(hole binary64 (+ 1 (+ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (exp b)) #s(hole binary64 (+ 1 (+ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(hole binary64 (* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))))
Outputs
#s(approx (log (+ (exp a) (exp b))) (+.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))))))))
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(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a) (*.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a) (*.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a)) (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a)))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64))
(fma.f64 a (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a) (*.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a)) (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a))) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a) (*.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a))))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 a) (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64))))
(+.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) a) (*.f64 #s(literal 1/6 binary64) a)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) a) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) a) (*.f64 #s(literal 1/6 binary64) a)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) a))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 a a) a) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) (*.f64 #s(literal 1/6 binary64) a) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) a) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 a a) a)))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) a) (*.f64 #s(literal 1/6 binary64) a)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) a))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) a) (*.f64 #s(literal 1/6 binary64) a)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) a) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) a) (*.f64 #s(literal 1/6 binary64) a))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) a)))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 a a) a) #s(literal 1/8 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) (*.f64 #s(literal 1/6 binary64) a) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) a) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 a a) a))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) a) (*.f64 #s(literal 1/6 binary64) a)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) a)))))
(fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64))
(fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) a) (*.f64 #s(literal 1/6 binary64) a)) (-.f64 (*.f64 #s(literal 1/6 binary64) a) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/6 binary64) a) #s(literal 1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) a))) (/.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) a) (*.f64 #s(literal 1/6 binary64) a)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) a))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) a))
(+.f64 (*.f64 #s(literal 1/6 binary64) a) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) a))
#s(literal 1/6 binary64)
#s(approx (log (+ (exp a) (exp b))) (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))) (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
#s(approx (log (+ (exp a) (exp b))) (fma.f64 a (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) a) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) (-.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -3 binary64)) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)) #s(literal 3 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))) #s(literal 1/2 binary64))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) a (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (+.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)) (log.f64 #s(literal 2 binary64))))
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (+.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 b #s(literal 0 binary64))) a #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)) (log.f64 #s(literal 2 binary64))))
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (+.f64 (fma.f64 (-.f64 (fma.f64 (+.f64 #s(literal 1/8 binary64) (-.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b #s(literal 0 binary64)) (*.f64 b #s(literal -1/48 binary64))) a)) (*.f64 b #s(literal 0 binary64)))) a #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)) (log.f64 #s(literal 2 binary64))))
#s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b))
#s(approx (/ b (- (exp a) -1)) (fma.f64 (*.f64 b a) #s(literal -1/4 binary64) (*.f64 #s(literal 1/2 binary64) b)))
#s(approx (/ b (- (exp a) -1)) (fma.f64 (-.f64 (neg.f64 (*.f64 (*.f64 b #s(literal 0 binary64)) a)) (*.f64 #s(literal 1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)))
#s(approx (/ b (- (exp a) -1)) (fma.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b #s(literal 0 binary64)) (*.f64 b #s(literal -1/48 binary64))) a)) (*.f64 b #s(literal 0 binary64))) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)))
#s(approx (- (exp a) -1) #s(literal 2 binary64))
#s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a))
#s(approx (- (exp a) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))
#s(approx (- (exp a) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64)))
#s(approx (exp a) #s(literal 1 binary64))
#s(approx (exp a) (-.f64 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 (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 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))
#s(approx (+ (exp a) (exp b)) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
#s(approx (+ (exp a) (exp b)) (+.f64 (-.f64 a #s(literal -1 binary64)) (exp.f64 b)))
#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 (- a -1) #s(literal 1 binary64))
#s(approx (- a -1) (-.f64 a #s(literal -1 binary64)))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (+.f64 (-.f64 a #s(literal -1 binary64)) (exp.f64 b)))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (-.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 (+ (* (+ (* 1/2 a) 1) a) (exp b)) (exp.f64 b))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) (+.f64 (exp.f64 b) a))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (exp.f64 b)))
#s(approx (+ (* 1/2 a) 1) #s(literal 1 binary64))
#s(approx (+ (* 1/2 a) 1) (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)))
#s(approx (- (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (exp b)) -1) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
#s(approx (- (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (exp b)) -1) (+.f64 (-.f64 a #s(literal -1 binary64)) (exp.f64 b)))
#s(approx (- (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (exp b)) -1) (-.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 (- (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (exp b)) -1) (-.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 (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (exp b)) (exp.f64 b))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (exp b)) (+.f64 (exp.f64 b) a))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (exp.f64 b)))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (exp b)) (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(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)))
#s(approx (+ (* 1/6 a) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* 1/6 a) 1/2) (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)))
#s(approx (log (+ (exp a) (exp b))) (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (+.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
#s(approx (/ b (- (exp a) -1)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))))
#s(approx (- (exp a) -1) (-.f64 (exp.f64 a) #s(literal -1 binary64)))
#s(approx (exp a) (exp.f64 a))
#s(approx (log (- (exp a) -1)) (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))))
#s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 b) (exp.f64 a)))
#s(approx (- a -1) a)
#s(approx (- a -1) (fma.f64 #s(literal 1 binary64) a #s(literal 1 binary64)))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) a))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (*.f64 (+.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a a)) (/.f64 #s(literal 1 binary64) a)) #s(literal 1/2 binary64)) (*.f64 a a)))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) a))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) (*.f64 (+.f64 (+.f64 (/.f64 (exp.f64 b) (*.f64 a a)) (/.f64 #s(literal 1 binary64) a)) #s(literal 1/2 binary64)) (*.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 (- (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (exp b)) -1) (*.f64 (*.f64 (*.f64 a a) a) #s(literal 1/6 binary64)))
#s(approx (- (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (exp b)) -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) (exp b)) -1) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (*.f64 a a))) #s(literal 1/6 binary64)) (*.f64 (*.f64 a a) a)))
#s(approx (- (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (exp b)) -1) (*.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.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) a) (exp b)) (*.f64 (*.f64 (*.f64 a a) a) #s(literal 1/6 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (exp b)) (*.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) (exp b)) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (*.f64 a a))) #s(literal 1/6 binary64)) (*.f64 (*.f64 a a) a)))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (exp b)) (*.f64 (+.f64 (+.f64 (+.f64 (/.f64 (exp.f64 b) (*.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 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/6 binary64)) (*.f64 a a)))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (*.f64 a 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 (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) a)) #s(literal 1 binary64)) a)) #s(literal 1/2 binary64)) (*.f64 a a)))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (exp.f64 b) a)) #s(literal 1 binary64)) a)) #s(literal 1/2 binary64)) (*.f64 a a)))
#s(approx (- (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (exp b)) -1) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) #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) (exp b)) -1) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) a)) #s(literal 1 binary64)) a)) #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) (exp b)) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) #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) (exp b)) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (exp.f64 b) a)) #s(literal 1 binary64)) a)) #s(literal 1/2 binary64)) a)) #s(literal 1/6 binary64)) (*.f64 (*.f64 a a) a))))
#s(approx (log (+ (exp a) (exp b))) (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (fma.f64 b (fma.f64 (*.f64 #s(literal 1/2 binary64) b) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64)))) (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) (-.f64 (fma.f64 (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal -3 binary64)) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64)))) (*.f64 (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal -2 binary64)) #s(literal 3 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal -2 binary64))) #s(literal 1/2 binary64))) b (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64)))) b (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))))
#s(approx b b)
#s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64)))
#s(approx (+ (exp a) (exp b)) (+.f64 (+.f64 b (exp.f64 a)) #s(literal 1 binary64)))
#s(approx (+ (exp a) (exp b)) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (exp.f64 a)) #s(literal 1 binary64)))
#s(approx (+ (exp a) (exp b)) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b (exp.f64 a)) #s(literal 1 binary64)))
#s(approx (exp b) #s(literal 1 binary64))
#s(approx (exp b) (+.f64 #s(literal 1 binary64) b))
#s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
#s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a b) #s(literal 2 binary64)))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)) #s(literal 2 binary64)))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b)) #s(literal 2 binary64)))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a b) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b)) #s(literal 1 binary64)))
#s(approx (- (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (exp b)) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64)))
#s(approx (- (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (exp b)) -1) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a b) #s(literal 2 binary64)))
#s(approx (- (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (exp b)) -1) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)) #s(literal 2 binary64)))
#s(approx (- (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (exp b)) -1) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b)) #s(literal 2 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (exp b)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) 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 b) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) 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 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) 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 (*.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 (- (exp a) -1)) (log (- (exp a) -1))) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))))
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (*.f64 (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) b) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64)))) b))
#s(approx (exp b) (exp.f64 b))
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (neg.f64 (*.f64 (-.f64 (/.f64 (neg.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)))) b) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64)))) b)))

eval59.0ms (0.8%)

Memory
-2.4MiB live, 153.0MiB allocated; 25ms collecting garbage
Compiler

Compiled 5 038 to 1 944 computations (61.4% saved)

prune40.0ms (0.5%)

Memory
5.3MiB live, 58.0MiB allocated; 34ms collecting garbage
Pruning

24 alts after pruning (22 fresh and 2 done)

PrunedKeptTotal
New36320383
Fresh426
Picked415
Done011
Total37124395
Accuracy
99.4%
Counts
395 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.4%
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
46.2%
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #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)))))
45.3%
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
48.7%
(log.f64 #s(approx (+ (exp a) (exp b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64))))))
46.9%
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(approx (exp b) #s(literal 1 binary64))) #s(literal -1 binary64))))
49.2%
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
48.7%
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
2.9%
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 #s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) a)) #s(literal -1 binary64))))
3.1%
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 #s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) #s(literal -1 binary64))))
45.6%
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (exp b)) -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)))))
0.3%
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (exp b)) -1) (*.f64 (*.f64 (*.f64 a a) a) #s(literal 1/6 binary64)))))
46.9%
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
1.7%
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) a))))
2.0%
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))))
45.3%
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a))))
47.0%
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64))))
65.0%
#s(approx (log (+ (exp a) (exp b))) (/.f64 (+.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))))))))
97.6%
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a))))
47.4%
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(approx (log (- (exp a) -1)) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))))
47.3%
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(approx (log (- (exp a) -1)) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))))
48.9%
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
47.8%
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
53.2%
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
47.3%
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (+.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)) (log.f64 #s(literal 2 binary64)))))
Compiler

Compiled 854 to 778 computations (8.9% saved)

series77.0ms (1%)

Memory
9.7MiB live, 143.3MiB allocated; 20ms collecting garbage
Counts
32 → 114
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a))))
(+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a)))
(/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))
b
(-.f64 (exp.f64 a) #s(literal -1 binary64))
(exp.f64 a)
a
#s(literal -1 binary64)
(log1p.f64 (exp.f64 a))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64))))
#s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64)))
#s(approx (- (exp a) -1) #s(literal 2 binary64))
#s(literal 2 binary64)
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) a))))
#s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) a)))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) a))
(fma.f64 (*.f64 a a) #s(literal 1/2 binary64) a)
(*.f64 a a)
#s(literal 1/2 binary64)
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 #s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) a)) #s(literal -1 binary64))))
#s(approx (+ (exp a) (exp b)) (-.f64 #s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) a)) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) a)) #s(literal -1 binary64))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) a))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (+.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)) (log.f64 #s(literal 2 binary64)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (+.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)) (log.f64 #s(literal 2 binary64))))
(+.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)) (log.f64 #s(literal 2 binary64)))
(fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) b))
(*.f64 #s(literal 1/4 binary64) b)
#s(literal 1/4 binary64)
(*.f64 #s(literal 1/2 binary64) b)
(log.f64 #s(literal 2 binary64))
Outputs
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp b)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b)))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- (+ 1/8 (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))) (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))))
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (* 1/2 b)))
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (+ (* -1/4 (* a b)) (* 1/2 b))))
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))))
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (+ (* 1/2 b) (* a (- (* a (- (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))))) (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))))
#s(approx (- (exp a) -1) #s(hole binary64 2))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 a)))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 (* a (+ 1 (* 1/2 a))))))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (exp a) #s(hole binary64 1))
#s(approx (exp a) #s(hole binary64 (+ 1 a)))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx a #s(hole binary64 a))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* 1/2 a))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* 1/8 a))))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))))
#s(approx (+ (exp a) (exp 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) a) (exp b)) -1) #s(hole binary64 (+ 1 (exp b))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (* (* a a) 1/2) a) #s(hole binary64 a))
#s(approx (+ (* (* a a) 1/2) a) #s(hole binary64 (* a (+ 1 (* 1/2 a)))))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) #s(hole binary64 (exp b)))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) #s(hole binary64 (+ a (exp b))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) #s(hole binary64 (+ (exp b) (* a (+ 1 (* 1/2 a))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b)))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- (+ 1/8 (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))) (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))))
#s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b)))))))
#s(approx (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* 1/2 b)))
#s(approx (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) #s(hole binary64 (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ (exp a) (exp b)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 1 (exp a))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (* 1/2 (pow a 2))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (* (pow a 2) (+ 1/2 (/ 1 a)))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (* (pow a 2) (+ 1/2 (+ (/ 1 a) (+ (/ 1 (pow a 2)) (/ (exp b) (pow a 2))))))))
#s(approx (+ (* (* a a) 1/2) a) #s(hole binary64 (* 1/2 (pow a 2))))
#s(approx (+ (* (* a a) 1/2) a) #s(hole binary64 (* (pow a 2) (+ 1/2 (/ 1 a)))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) #s(hole binary64 (* 1/2 (pow a 2))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) #s(hole binary64 (* (pow a 2) (+ 1/2 (/ 1 a)))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) #s(hole binary64 (* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ (exp b) (pow a 2)))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) #s(hole binary64 (* a (- 1/2 (* 1/4 b)))))
#s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) #s(hole binary64 (* a (- (+ 1/2 (+ (* 1/2 (/ b a)) (/ (log 2) a))) (* 1/4 b)))))
#s(approx (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* a (- 1/2 (* 1/4 b)))))
#s(approx (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* a (- (+ 1/2 (* 1/2 (/ b a))) (* 1/4 b)))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (* (pow a 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp b)) a)) 1) a))))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) #s(hole binary64 (* (pow a 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (exp b) a)) 1) a))))))
#s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) #s(hole binary64 (* -1 (* a (+ (* -1 (- 1/2 (* 1/4 b))) (* -1 (/ (+ (log 2) (* 1/2 b)) a)))))))
#s(approx (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* -1 (* a (+ (* -1 (- 1/2 (* 1/4 b))) (* -1/2 (/ b a)))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx b #s(hole binary64 b))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (+ 2 (* a (+ 1 (* 1/2 a))))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (+ 2 (+ b (* a (+ 1 (* 1/2 a)))))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* 1/2 b)))))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) #s(hole binary64 (+ 1 (+ b (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) #s(hole binary64 (+ 1 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) #s(hole binary64 (+ 1 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 a))))
#s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) #s(hole binary64 (+ (log 2) (+ (* 1/2 a) (* b (+ 1/2 (* -1/4 a)))))))
#s(approx (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* 1/2 a)))
#s(approx (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) #s(hole binary64 (+ (* 1/2 a) (* b (+ 1/2 (* -1/4 a))))))
#s(approx (- 1/2 (* 1/4 b)) #s(hole binary64 1/2))
#s(approx (- 1/2 (* 1/4 b)) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (* 1/4 b) #s(hole binary64 (* 1/4 b)))
#s(approx (* 1/2 b) #s(hole binary64 (* 1/2 b)))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(hole binary64 (* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))))
#s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) #s(hole binary64 (* b (+ 1/2 (* -1/4 a)))))
#s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) #s(hole binary64 (* b (+ 1/2 (+ (* -1/4 a) (+ (* 1/2 (/ a b)) (/ (log 2) b)))))))
#s(approx (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* b (+ 1/2 (* -1/4 a)))))
#s(approx (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* b (+ 1/2 (+ (* -1/4 a) (* 1/2 (/ a b)))))))
#s(approx (- 1/2 (* 1/4 b)) #s(hole binary64 (* -1/4 b)))
#s(approx (- 1/2 (* 1/4 b)) #s(hole binary64 (* b (- (* 1/2 (/ 1 b)) 1/4))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))))
#s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) #s(hole binary64 (* -1 (* b (- (* 1/4 a) 1/2)))))
#s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) #s(hole binary64 (* -1 (* b (- (+ (* -1 (/ (+ (log 2) (* 1/2 a)) b)) (* 1/4 a)) 1/2)))))
#s(approx (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* -1 (* b (- (* 1/4 a) 1/2)))))
#s(approx (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* -1 (* b (- (+ (* -1/2 (/ a b)) (* 1/4 a)) 1/2)))))
#s(approx (- 1/2 (* 1/4 b)) #s(hole binary64 (* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))))
Calls

6 calls:

TimeVariablePointExpression
24.0ms
a
@inf
((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (- (exp a) -1)) b (- (exp a) -1) (exp a) a -1 (log (+ 1 (exp a))) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (exp a) -1) 2 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (+ (* (* a a) 1/2) a) (* a a) 1/2 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (+ (* (+ (* 1/2 a) 1) a) (exp b)) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (- 1/2 (* 1/4 b)) (* 1/4 b) 1/4 (* 1/2 b) (log 2))
19.0ms
a
@-inf
((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (- (exp a) -1)) b (- (exp a) -1) (exp a) a -1 (log (+ 1 (exp a))) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (exp a) -1) 2 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (+ (* (* a a) 1/2) a) (* a a) 1/2 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (+ (* (+ (* 1/2 a) 1) a) (exp b)) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (- 1/2 (* 1/4 b)) (* 1/4 b) 1/4 (* 1/2 b) (log 2))
13.0ms
b
@-inf
((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (- (exp a) -1)) b (- (exp a) -1) (exp a) a -1 (log (+ 1 (exp a))) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (exp a) -1) 2 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (+ (* (* a a) 1/2) a) (* a a) 1/2 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (+ (* (+ (* 1/2 a) 1) a) (exp b)) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (- 1/2 (* 1/4 b)) (* 1/4 b) 1/4 (* 1/2 b) (log 2))
10.0ms
b
@inf
((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (- (exp a) -1)) b (- (exp a) -1) (exp a) a -1 (log (+ 1 (exp a))) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (exp a) -1) 2 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (+ (* (* a a) 1/2) a) (* a a) 1/2 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (+ (* (+ (* 1/2 a) 1) a) (exp b)) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (- 1/2 (* 1/4 b)) (* 1/4 b) 1/4 (* 1/2 b) (log 2))
5.0ms
a
@0
((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (- (exp a) -1)) b (- (exp a) -1) (exp a) a -1 (log (+ 1 (exp a))) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (exp a) -1) 2 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (+ (* (* a a) 1/2) a) (* a a) 1/2 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (+ (* (+ (* 1/2 a) 1) a) (exp b)) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (- 1/2 (* 1/4 b)) (* 1/4 b) 1/4 (* 1/2 b) (log 2))

rewrite178.0ms (2.4%)

Memory
35.5MiB live, 174.7MiB allocated; 27ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04212731
04482598
126072595
080582368
Stop Event
iter-limit
node-limit
iter-limit
Counts
146 → 268
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a))))
(+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a)))
(/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))
b
(-.f64 (exp.f64 a) #s(literal -1 binary64))
(exp.f64 a)
a
#s(literal -1 binary64)
(log1p.f64 (exp.f64 a))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64))))
#s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64)))
#s(approx (- (exp a) -1) #s(literal 2 binary64))
#s(literal 2 binary64)
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) a))))
#s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) a)))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) a))
(fma.f64 (*.f64 a a) #s(literal 1/2 binary64) a)
(*.f64 a a)
#s(literal 1/2 binary64)
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 #s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) a)) #s(literal -1 binary64))))
#s(approx (+ (exp a) (exp b)) (-.f64 #s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) a)) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) a)) #s(literal -1 binary64))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) a))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (+.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)) (log.f64 #s(literal 2 binary64)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (+.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)) (log.f64 #s(literal 2 binary64))))
(+.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)) (log.f64 #s(literal 2 binary64)))
(fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) b))
(*.f64 #s(literal 1/4 binary64) b)
#s(literal 1/4 binary64)
(*.f64 #s(literal 1/2 binary64) b)
(log.f64 #s(literal 2 binary64))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp b)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b)))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- (+ 1/8 (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))) (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))))
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (* 1/2 b)))
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (+ (* -1/4 (* a b)) (* 1/2 b))))
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))))
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (+ (* 1/2 b) (* a (- (* a (- (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))))) (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))))
#s(approx (- (exp a) -1) #s(hole binary64 2))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 a)))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 (* a (+ 1 (* 1/2 a))))))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (exp a) #s(hole binary64 1))
#s(approx (exp a) #s(hole binary64 (+ 1 a)))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx a #s(hole binary64 a))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* 1/2 a))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* 1/8 a))))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))))
#s(approx (+ (exp a) (exp 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) a) (exp b)) -1) #s(hole binary64 (+ 1 (exp b))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (* (* a a) 1/2) a) #s(hole binary64 a))
#s(approx (+ (* (* a a) 1/2) a) #s(hole binary64 (* a (+ 1 (* 1/2 a)))))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) #s(hole binary64 (exp b)))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) #s(hole binary64 (+ a (exp b))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) #s(hole binary64 (+ (exp b) (* a (+ 1 (* 1/2 a))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b)))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- (+ 1/8 (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))) (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))))
#s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b)))))))
#s(approx (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* 1/2 b)))
#s(approx (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) #s(hole binary64 (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ (exp a) (exp b)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 1 (exp a))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (* 1/2 (pow a 2))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (* (pow a 2) (+ 1/2 (/ 1 a)))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (* (pow a 2) (+ 1/2 (+ (/ 1 a) (+ (/ 1 (pow a 2)) (/ (exp b) (pow a 2))))))))
#s(approx (+ (* (* a a) 1/2) a) #s(hole binary64 (* 1/2 (pow a 2))))
#s(approx (+ (* (* a a) 1/2) a) #s(hole binary64 (* (pow a 2) (+ 1/2 (/ 1 a)))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) #s(hole binary64 (* 1/2 (pow a 2))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) #s(hole binary64 (* (pow a 2) (+ 1/2 (/ 1 a)))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) #s(hole binary64 (* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ (exp b) (pow a 2)))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) #s(hole binary64 (* a (- 1/2 (* 1/4 b)))))
#s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) #s(hole binary64 (* a (- (+ 1/2 (+ (* 1/2 (/ b a)) (/ (log 2) a))) (* 1/4 b)))))
#s(approx (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* a (- 1/2 (* 1/4 b)))))
#s(approx (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* a (- (+ 1/2 (* 1/2 (/ b a))) (* 1/4 b)))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (* (pow a 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp b)) a)) 1) a))))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) #s(hole binary64 (* (pow a 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (exp b) a)) 1) a))))))
#s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) #s(hole binary64 (* -1 (* a (+ (* -1 (- 1/2 (* 1/4 b))) (* -1 (/ (+ (log 2) (* 1/2 b)) a)))))))
#s(approx (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* -1 (* a (+ (* -1 (- 1/2 (* 1/4 b))) (* -1/2 (/ b a)))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx b #s(hole binary64 b))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (+ 2 (* a (+ 1 (* 1/2 a))))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (+ 2 (+ b (* a (+ 1 (* 1/2 a)))))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* 1/2 b)))))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) #s(hole binary64 (+ 1 (+ b (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) #s(hole binary64 (+ 1 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) #s(hole binary64 (+ 1 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 a))))
#s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) #s(hole binary64 (+ (log 2) (+ (* 1/2 a) (* b (+ 1/2 (* -1/4 a)))))))
#s(approx (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* 1/2 a)))
#s(approx (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) #s(hole binary64 (+ (* 1/2 a) (* b (+ 1/2 (* -1/4 a))))))
#s(approx (- 1/2 (* 1/4 b)) #s(hole binary64 1/2))
#s(approx (- 1/2 (* 1/4 b)) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (* 1/4 b) #s(hole binary64 (* 1/4 b)))
#s(approx (* 1/2 b) #s(hole binary64 (* 1/2 b)))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(hole binary64 (* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))))
#s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) #s(hole binary64 (* b (+ 1/2 (* -1/4 a)))))
#s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) #s(hole binary64 (* b (+ 1/2 (+ (* -1/4 a) (+ (* 1/2 (/ a b)) (/ (log 2) b)))))))
#s(approx (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* b (+ 1/2 (* -1/4 a)))))
#s(approx (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* b (+ 1/2 (+ (* -1/4 a) (* 1/2 (/ a b)))))))
#s(approx (- 1/2 (* 1/4 b)) #s(hole binary64 (* -1/4 b)))
#s(approx (- 1/2 (* 1/4 b)) #s(hole binary64 (* b (- (* 1/2 (/ 1 b)) 1/4))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))))
#s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) #s(hole binary64 (* -1 (* b (- (* 1/4 a) 1/2)))))
#s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) #s(hole binary64 (* -1 (* b (- (+ (* -1 (/ (+ (log 2) (* 1/2 a)) b)) (* 1/4 a)) 1/2)))))
#s(approx (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* -1 (* b (- (* 1/4 a) 1/2)))))
#s(approx (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* -1 (* b (- (+ (* -1/2 (/ a b)) (* 1/4 a)) 1/2)))))
#s(approx (- 1/2 (* 1/4 b)) #s(hole binary64 (* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))))
Outputs
#s(approx (log (+ (exp a) (exp b))) (+.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64))) (-.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64))) (-.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)))))))
(/.f64 (+.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))))))
(-.f64 (/.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))))) (/.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))))))
(-.f64 (/.f64 (pow.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))) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))))) (/.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))))))
(+.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
(/.f64 (neg.f64 b) (neg.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))
b
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #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 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a))))
(/.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 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 #s(literal 0 binary64) a))))))
(/.f64 (expm1.f64 (+.f64 a a)) (+.f64 (exp.f64 a) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (-.f64 #s(literal 1 binary64) (exp.f64 a)))
(/.f64 (-.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 (exp.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) #s(literal -1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 #s(literal 0 binary64) a)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(neg.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)))
(-.f64 (/.f64 (exp.f64 (+.f64 a a)) (+.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (exp.f64 (+.f64 a a)) (-.f64 #s(literal 1 binary64) (exp.f64 a))))
(-.f64 (/.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) #s(literal -1 binary64))))))
(-.f64 (exp.f64 a) #s(literal -1 binary64))
(exp.f64 (*.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+.f64 (exp.f64 a) #s(literal 1 binary64))
(exp.f64 a)
(+.f64 (cosh.f64 a) (sinh.f64 a))
a
#s(literal -1 binary64)
(log1p.f64 (exp.f64 a))
(-.f64 (log.f64 (expm1.f64 (+.f64 a a))) (log.f64 (+.f64 (exp.f64 a) #s(literal -1 binary64))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a))))
(-.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))))))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (log.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 #s(literal 0 binary64) a))))))
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(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64))))
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(/.f64 (fma.f64 (*.f64 (*.f64 b b) b) #s(literal 1/8 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) b) (*.f64 #s(literal 1/2 binary64) b) (-.f64 (*.f64 (*.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)) (*.f64 (*.f64 #s(literal 1/2 binary64) b) (*.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a)))))
(fma.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a (*.f64 #s(literal 1/2 binary64) b))
(fma.f64 #s(literal 1/2 binary64) b (*.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a))
(fma.f64 b #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a))
(fma.f64 a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) b))
(-.f64 (/.f64 (*.f64 (*.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)) (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a) (*.f64 #s(literal 1/2 binary64) b))) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) b) (*.f64 #s(literal 1/2 binary64) b)) (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a) (*.f64 #s(literal 1/2 binary64) b))))
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) b) (*.f64 #s(literal 1/2 binary64) b)) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (*.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a))) (/.f64 (*.f64 (*.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)) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (*.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a))))
(-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a) (*.f64 #s(literal -1/2 binary64) b))
(-.f64 (*.f64 #s(literal 1/2 binary64) b) (*.f64 (neg.f64 a) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
(+.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a) (*.f64 #s(literal 1/2 binary64) b))
(+.f64 (*.f64 #s(literal 1/2 binary64) b) (*.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) b) (*.f64 #s(literal 1/4 binary64) b)))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) b))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) b) (*.f64 #s(literal -1/4 binary64) b)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/64 binary64)))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) b) (*.f64 #s(literal 1/4 binary64) b) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) b))))))
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(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) b) (*.f64 #s(literal 1/4 binary64) b))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) b)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) b) (*.f64 #s(literal -1/4 binary64) b))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b)))
(/.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/64 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) b) (*.f64 #s(literal 1/4 binary64) b) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) b)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 b b) b))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) b) (*.f64 #s(literal -1/4 binary64) b)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b)))))
(neg.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) b) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) b))) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) b) (*.f64 #s(literal 1/4 binary64) b)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) b))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) b) (*.f64 #s(literal -1/4 binary64) b)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))))
(-.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) b) (*.f64 #s(literal 1/4 binary64) b) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) b))))) (/.f64 (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/64 binary64)) (+.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) b) (*.f64 #s(literal 1/4 binary64) b) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) b))))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) b))
(+.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 #s(literal 1/4 binary64) b)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))
(*.f64 #s(literal 1/4 binary64) b)
(*.f64 b #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(*.f64 #s(literal 1/2 binary64) b)
(*.f64 b #s(literal 1/2 binary64))
(+.f64 (log.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(log.f64 #s(literal 2 binary64))
#s(approx (log (+ (exp a) (exp b))) (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))) (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
#s(approx (log (+ (exp a) (exp b))) (fma.f64 a (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) a) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) (-.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -3 binary64)) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)) #s(literal 3 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))) #s(literal 1/2 binary64))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) a (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 b #s(literal 0 binary64))) a #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)) (log.f64 #s(literal 2 binary64))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+.f64 (fma.f64 (-.f64 (fma.f64 (+.f64 #s(literal 1/8 binary64) (-.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b #s(literal 0 binary64)) (*.f64 b #s(literal -1/48 binary64))) a)) (*.f64 b #s(literal 0 binary64)))) a #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)) (log.f64 #s(literal 2 binary64))))
#s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b))
#s(approx (/ b (- (exp a) -1)) (*.f64 (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)) b))
#s(approx (/ b (- (exp a) -1)) (fma.f64 (-.f64 (neg.f64 (*.f64 (*.f64 b #s(literal 0 binary64)) a)) (*.f64 #s(literal 1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)))
#s(approx (/ b (- (exp a) -1)) (fma.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b #s(literal 0 binary64)) (*.f64 b #s(literal -1/48 binary64))) a)) (*.f64 b #s(literal 0 binary64))) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)))
#s(approx (- (exp a) -1) #s(literal 2 binary64))
#s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a))
#s(approx (- (exp a) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))
#s(approx (- (exp a) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64)))
#s(approx (exp a) #s(literal 1 binary64))
#s(approx (exp a) (+.f64 #s(literal 1 binary64) a))
#s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
#s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
#s(approx a a)
#s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64)))
#s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))
#s(approx (+ (exp a) (exp b)) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
#s(approx (+ (exp a) (exp b)) (+.f64 (+.f64 (exp.f64 b) a) #s(literal 1 binary64)))
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#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) a) (exp b)) -1) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (+.f64 (+.f64 (exp.f64 b) a) #s(literal 1 binary64)))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (-.f64 (exp.f64 b) #s(literal -1 binary64))))
#s(approx (+ (* (* a a) 1/2) a) a)
#s(approx (+ (* (* a a) 1/2) a) (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a))
#s(approx (* a a) (*.f64 a a))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) (exp.f64 b))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) (+.f64 (exp.f64 b) a))
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#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 b #s(literal 0 binary64))) a #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)) (log.f64 #s(literal 2 binary64))))
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#s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))
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#s(approx (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (*.f64 #s(literal 1/2 binary64) b))
#s(approx (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (fma.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a (*.f64 #s(literal 1/2 binary64) b)))
#s(approx (log (+ (exp a) (exp b))) (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
#s(approx (/ b (- (exp a) -1)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))))
#s(approx (- (exp a) -1) (-.f64 (exp.f64 a) #s(literal -1 binary64)))
#s(approx (exp a) (exp.f64 a))
#s(approx (log (+ 1 (exp a))) (log.f64 (-.f64 (exp.f64 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) (exp b)) -1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) a))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (*.f64 (+.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a a)) (/.f64 #s(literal 1 binary64) a)) #s(literal 1/2 binary64)) (*.f64 a a)))
#s(approx (+ (* (* a a) 1/2) a) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))
#s(approx (+ (* (* a a) 1/2) a) (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) a))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) a))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) (*.f64 (+.f64 (+.f64 (/.f64 (exp.f64 b) (*.f64 a a)) (/.f64 #s(literal 1 binary64) a)) #s(literal 1/2 binary64)) (*.f64 a a)))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
#s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) (*.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a))
#s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) (*.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))) a) (*.f64 #s(literal 1/4 binary64) b))) a))
#s(approx (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (*.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a))
#s(approx (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (*.f64 (-.f64 (fma.f64 (/.f64 b a) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) b)) a))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) a)) #s(literal 1 binary64)) a)) #s(literal 1/2 binary64)) (*.f64 a a)))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (exp.f64 b) a)) #s(literal 1 binary64)) a)) #s(literal 1/2 binary64)) (*.f64 a a)))
#s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) (neg.f64 (*.f64 (+.f64 (neg.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))) a))) a)))
#s(approx (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (neg.f64 (*.f64 (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (neg.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))) a)))
#s(approx (log (+ (exp a) (exp b))) (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (fma.f64 b (fma.f64 (*.f64 #s(literal 1/2 binary64) b) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64)))) (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) (-.f64 (fma.f64 (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal -3 binary64)) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64)))) (*.f64 (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal -2 binary64)) #s(literal 3 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal -2 binary64))) #s(literal 1/2 binary64))) b (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64)))) b (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))))
#s(approx b b)
#s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64)))
#s(approx (+ (exp a) (exp b)) (+.f64 (+.f64 b (exp.f64 a)) #s(literal 1 binary64)))
#s(approx (+ (exp a) (exp b)) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (exp.f64 a)) #s(literal 1 binary64)))
#s(approx (+ (exp a) (exp b)) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b (exp.f64 a)) #s(literal 1 binary64)))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a b) #s(literal 2 binary64)))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a)) #s(literal 2 binary64)))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a)) #s(literal 2 binary64)))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a b) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a)) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/2 a) 1) 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 (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a)) #s(literal 1 binary64)))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))))
#s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))
#s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) (+.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)) b (*.f64 #s(literal 1/2 binary64) a)) (log.f64 #s(literal 2 binary64))))
#s(approx (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (*.f64 #s(literal 1/2 binary64) a))
#s(approx (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (fma.f64 (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)) b (*.f64 #s(literal 1/2 binary64) a)))
#s(approx (- 1/2 (* 1/4 b)) #s(literal 1/2 binary64))
#s(approx (- 1/2 (* 1/4 b)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
#s(approx (* 1/4 b) (*.f64 #s(literal 1/4 binary64) b))
#s(approx (* 1/2 b) (*.f64 #s(literal 1/2 binary64) b))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (*.f64 (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) b) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64)))) b))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (*.f64 (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) b) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64)))) b))
#s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) (*.f64 (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)) b))
#s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) (*.f64 (+.f64 (fma.f64 #s(literal -1/4 binary64) a (/.f64 (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))) b)) #s(literal 1/2 binary64)) b))
#s(approx (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (*.f64 (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)) b))
#s(approx (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (*.f64 (+.f64 (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) a)) #s(literal 1/2 binary64)) b))
#s(approx (- 1/2 (* 1/4 b)) (*.f64 #s(literal -1/4 binary64) b))
#s(approx (- 1/2 (* 1/4 b)) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/4 binary64)) b))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (neg.f64 (*.f64 (-.f64 (/.f64 (neg.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)))) b) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64)))) b)))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (neg.f64 (*.f64 (-.f64 (/.f64 (neg.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)))) b) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64)))) b)))
#s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) (neg.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) a #s(literal -1/2 binary64)) b)))
#s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) (neg.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) a (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))) b))) #s(literal 1/2 binary64)) b)))
#s(approx (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (neg.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) a #s(literal -1/2 binary64)) b)))
#s(approx (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (neg.f64 (*.f64 (fma.f64 (/.f64 a b) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/4 binary64) a #s(literal -1/2 binary64))) b)))
#s(approx (- 1/2 (* 1/4 b)) (neg.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) b)) b)))

eval40.0ms (0.5%)

Memory
-27.0MiB live, 68.8MiB allocated; 19ms collecting garbage
Compiler

Compiled 3 396 to 1 422 computations (58.1% saved)

prune15.0ms (0.2%)

Memory
31.0MiB live, 31.0MiB allocated; 0ms collecting garbage
Pruning

21 alts after pruning (17 fresh and 4 done)

PrunedKeptTotal
New2627269
Fresh71017
Picked325
Done022
Total27221293
Accuracy
99.4%
Counts
293 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.4%
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
48.7%
(log.f64 #s(approx (+ (exp a) (exp b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64))))))
46.9%
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(approx (exp b) #s(literal 1 binary64))) #s(literal -1 binary64))))
49.2%
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
48.7%
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
2.9%
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 #s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) a)) #s(literal -1 binary64))))
1.5%
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 #s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) #s(approx (+ (* (* a a) 1/2) a) a)) #s(literal -1 binary64))))
46.9%
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
2.0%
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))))
0.2%
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(approx (+ (* (* a a) 1/2) a) a))))
45.3%
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a))))
47.0%
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64))))
47.4%
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(approx (log (- (exp a) -1)) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))))
48.9%
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
56.7%
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a))))
47.8%
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
46.8%
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a (*.f64 #s(literal 1/2 binary64) b)) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)) (-.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a (*.f64 #s(literal 1/2 binary64) b)) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a (*.f64 #s(literal 1/2 binary64) b))))))))
53.2%
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
46.6%
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))))
2.7%
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) (*.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a))))
5.5%
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) (*.f64 (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)) b))))
Compiler

Compiled 782 to 708 computations (9.5% saved)

series59.0ms (0.8%)

Memory
-19.7MiB live, 117.4MiB allocated; 9ms collecting garbage
Counts
30 → 89
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a))))
(+.f64 #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a)))
#s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b))
(*.f64 #s(literal 1/2 binary64) b)
#s(literal 1/2 binary64)
b
(log1p.f64 (exp.f64 a))
(exp.f64 a)
a
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(approx (+ (* (* a a) 1/2) a) a))))
#s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(approx (+ (* (* a a) 1/2) a) a)))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(approx (+ (* (* a a) 1/2) a) a))
#s(approx (+ (* (* a a) 1/2) a) a)
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a))))
#s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a)))
#s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a))
(+.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
#s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64))
#s(literal 1 binary64)
(log.f64 #s(approx (+ (exp a) (exp b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64))))))
#s(approx (+ (exp a) (exp b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64)))
(-.f64 (exp.f64 a) #s(literal -1 binary64))
#s(literal -1 binary64)
Outputs
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp b)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b)))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- (+ 1/8 (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))) (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))))
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (* 1/2 b)))
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (+ (* -1/4 (* a b)) (* 1/2 b))))
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))))
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (+ (* 1/2 b) (* a (- (* a (- (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))))) (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* 1/2 a))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* 1/8 a))))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))))
#s(approx (exp a) #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) a) (exp b)) -1) #s(hole binary64 (+ 1 (exp b))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (* (* a a) 1/2) a) #s(hole binary64 a))
#s(approx (+ (* (* a a) 1/2) a) #s(hole binary64 (* a (+ 1 (* 1/2 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 (+ 2 a) #s(hole binary64 2))
#s(approx (+ 2 a) #s(hole binary64 (+ 2 a)))
#s(approx (+ (* (+ (* 1/2 a) 1) a) 2) #s(hole binary64 2))
#s(approx (+ (* (+ (* 1/2 a) 1) a) 2) #s(hole binary64 (+ 2 a)))
#s(approx (+ (* (+ (* 1/2 a) 1) a) 2) #s(hole binary64 (+ 2 (* a (+ 1 (* 1/2 a))))))
#s(approx (+ (* 1/2 a) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 a) 1) #s(hole binary64 (+ 1 (* 1/2 a))))
#s(approx (/ 1 (/ 1 (- (exp a) -1))) #s(hole binary64 2))
#s(approx (/ 1 (/ 1 (- (exp a) -1))) #s(hole binary64 (+ 2 a)))
#s(approx (/ 1 (/ 1 (- (exp a) -1))) #s(hole binary64 (+ 2 (* a (+ 1 (* 1/2 a))))))
#s(approx (/ 1 (/ 1 (- (exp a) -1))) #s(hole binary64 (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (/ 1 (- (exp a) -1)) #s(hole binary64 1/2))
#s(approx (/ 1 (- (exp a) -1)) #s(hole binary64 (+ 1/2 (* -1/4 a))))
#s(approx (/ 1 (- (exp a) -1)) #s(hole binary64 (+ 1/2 (* a (- (* 1/48 (pow a 2)) 1/4)))))
#s(approx (/ 1 (- (exp a) -1)) #s(hole binary64 (+ 1/2 (* a (- (* (pow a 2) (+ 1/48 (* -1/480 (pow a 2)))) 1/4)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ (exp a) (exp b)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (* 1/2 (pow a 2))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (* (pow a 2) (+ 1/2 (/ 1 a)))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (* (pow a 2) (+ 1/2 (+ (/ 1 a) (+ (/ 1 (pow a 2)) (/ (exp b) (pow a 2))))))))
#s(approx (+ (* (* a a) 1/2) a) #s(hole binary64 (* 1/2 (pow a 2))))
#s(approx (+ (* (* a a) 1/2) a) #s(hole binary64 (* (pow a 2) (+ 1/2 (/ 1 a)))))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ 2 a) #s(hole binary64 a))
#s(approx (+ 2 a) #s(hole binary64 (* a (+ 1 (* 2 (/ 1 a))))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) 2) #s(hole binary64 (* 1/2 (pow a 2))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) 2) #s(hole binary64 (* (pow a 2) (+ 1/2 (/ 1 a)))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) 2) #s(hole binary64 (* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 2 (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 (/ 1 (/ 1 (- (exp a) -1))) #s(hole binary64 (+ 1 (exp a))))
#s(approx (/ 1 (- (exp a) -1)) #s(hole binary64 (/ 1 (+ 1 (exp a)))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (* (pow a 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp b)) a)) 1) a))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (* 1/2 b) #s(hole binary64 (* 1/2 b)))
#s(approx b #s(hole binary64 b))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (+ 2 (* a (+ 1 (* 1/2 a))))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (+ 2 (+ b (* a (+ 1 (* 1/2 a)))))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* 1/2 b)))))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))))
Calls

6 calls:

TimeVariablePointExpression
17.0ms
a
@-inf
((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (- (exp a) -1)) (* 1/2 b) 1/2 b (log (+ 1 (exp a))) (exp a) a (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (+ (* (* a a) 1/2) a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (exp a) -1) (+ 2 a) 2 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (+ (* (+ (* 1/2 a) 1) a) 2) (+ (* 1/2 a) 1) 1 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (/ 1 (/ 1 (- (exp a) -1))) (/ 1 (- (exp a) -1)) (- (exp a) -1) -1)
14.0ms
a
@inf
((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (- (exp a) -1)) (* 1/2 b) 1/2 b (log (+ 1 (exp a))) (exp a) a (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (+ (* (* a a) 1/2) a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (exp a) -1) (+ 2 a) 2 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (+ (* (+ (* 1/2 a) 1) a) 2) (+ (* 1/2 a) 1) 1 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (/ 1 (/ 1 (- (exp a) -1))) (/ 1 (- (exp a) -1)) (- (exp a) -1) -1)
11.0ms
b
@inf
((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (- (exp a) -1)) (* 1/2 b) 1/2 b (log (+ 1 (exp a))) (exp a) a (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (+ (* (* a a) 1/2) a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (exp a) -1) (+ 2 a) 2 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (+ (* (+ (* 1/2 a) 1) a) 2) (+ (* 1/2 a) 1) 1 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (/ 1 (/ 1 (- (exp a) -1))) (/ 1 (- (exp a) -1)) (- (exp a) -1) -1)
9.0ms
b
@-inf
((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (- (exp a) -1)) (* 1/2 b) 1/2 b (log (+ 1 (exp a))) (exp a) a (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (+ (* (* a a) 1/2) a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (exp a) -1) (+ 2 a) 2 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (+ (* (+ (* 1/2 a) 1) a) 2) (+ (* 1/2 a) 1) 1 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (/ 1 (/ 1 (- (exp a) -1))) (/ 1 (- (exp a) -1)) (- (exp a) -1) -1)
2.0ms
b
@0
((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (- (exp a) -1)) (* 1/2 b) 1/2 b (log (+ 1 (exp a))) (exp a) a (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (+ (* (* a a) 1/2) a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (exp a) -1) (+ 2 a) 2 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (+ (* (+ (* 1/2 a) 1) a) 2) (+ (* 1/2 a) 1) 1 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (/ 1 (/ 1 (- (exp a) -1))) (/ 1 (- (exp a) -1)) (- (exp a) -1) -1)

rewrite205.0ms (2.7%)

Memory
-7.6MiB live, 234.9MiB allocated; 58ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03421899
03611785
121591779
0100841683
Stop Event
iter-limit
node-limit
iter-limit
Counts
119 → 265
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a))))
(+.f64 #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a)))
#s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b))
(*.f64 #s(literal 1/2 binary64) b)
#s(literal 1/2 binary64)
b
(log1p.f64 (exp.f64 a))
(exp.f64 a)
a
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(approx (+ (* (* a a) 1/2) a) a))))
#s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(approx (+ (* (* a a) 1/2) a) a)))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(approx (+ (* (* a a) 1/2) a) a))
#s(approx (+ (* (* a a) 1/2) a) a)
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a))))
#s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a)))
#s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a))
(+.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
#s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64))
#s(literal 1 binary64)
(log.f64 #s(approx (+ (exp a) (exp b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64))))))
#s(approx (+ (exp a) (exp b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64)))
(-.f64 (exp.f64 a) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp b)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b)))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- (+ 1/8 (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))) (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))))
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (* 1/2 b)))
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (+ (* -1/4 (* a b)) (* 1/2 b))))
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))))
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (+ (* 1/2 b) (* a (- (* a (- (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))))) (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* 1/2 a))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* 1/8 a))))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))))
#s(approx (exp a) #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) a) (exp b)) -1) #s(hole binary64 (+ 1 (exp b))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (* (* a a) 1/2) a) #s(hole binary64 a))
#s(approx (+ (* (* a a) 1/2) a) #s(hole binary64 (* a (+ 1 (* 1/2 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 (+ 2 a) #s(hole binary64 2))
#s(approx (+ 2 a) #s(hole binary64 (+ 2 a)))
#s(approx (+ (* (+ (* 1/2 a) 1) a) 2) #s(hole binary64 2))
#s(approx (+ (* (+ (* 1/2 a) 1) a) 2) #s(hole binary64 (+ 2 a)))
#s(approx (+ (* (+ (* 1/2 a) 1) a) 2) #s(hole binary64 (+ 2 (* a (+ 1 (* 1/2 a))))))
#s(approx (+ (* 1/2 a) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 a) 1) #s(hole binary64 (+ 1 (* 1/2 a))))
#s(approx (/ 1 (/ 1 (- (exp a) -1))) #s(hole binary64 2))
#s(approx (/ 1 (/ 1 (- (exp a) -1))) #s(hole binary64 (+ 2 a)))
#s(approx (/ 1 (/ 1 (- (exp a) -1))) #s(hole binary64 (+ 2 (* a (+ 1 (* 1/2 a))))))
#s(approx (/ 1 (/ 1 (- (exp a) -1))) #s(hole binary64 (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (/ 1 (- (exp a) -1)) #s(hole binary64 1/2))
#s(approx (/ 1 (- (exp a) -1)) #s(hole binary64 (+ 1/2 (* -1/4 a))))
#s(approx (/ 1 (- (exp a) -1)) #s(hole binary64 (+ 1/2 (* a (- (* 1/48 (pow a 2)) 1/4)))))
#s(approx (/ 1 (- (exp a) -1)) #s(hole binary64 (+ 1/2 (* a (- (* (pow a 2) (+ 1/48 (* -1/480 (pow a 2)))) 1/4)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ (exp a) (exp b)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (* 1/2 (pow a 2))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (* (pow a 2) (+ 1/2 (/ 1 a)))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (* (pow a 2) (+ 1/2 (+ (/ 1 a) (+ (/ 1 (pow a 2)) (/ (exp b) (pow a 2))))))))
#s(approx (+ (* (* a a) 1/2) a) #s(hole binary64 (* 1/2 (pow a 2))))
#s(approx (+ (* (* a a) 1/2) a) #s(hole binary64 (* (pow a 2) (+ 1/2 (/ 1 a)))))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ 2 a) #s(hole binary64 a))
#s(approx (+ 2 a) #s(hole binary64 (* a (+ 1 (* 2 (/ 1 a))))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) 2) #s(hole binary64 (* 1/2 (pow a 2))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) 2) #s(hole binary64 (* (pow a 2) (+ 1/2 (/ 1 a)))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) 2) #s(hole binary64 (* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 2 (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 (/ 1 (/ 1 (- (exp a) -1))) #s(hole binary64 (+ 1 (exp a))))
#s(approx (/ 1 (- (exp a) -1)) #s(hole binary64 (/ 1 (+ 1 (exp a)))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (* (pow a 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp b)) a)) 1) a))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (* 1/2 b) #s(hole binary64 (* 1/2 b)))
#s(approx b #s(hole binary64 b))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (+ 2 (* a (+ 1 (* 1/2 a))))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (+ 2 (+ b (* a (+ 1 (* 1/2 a)))))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* 1/2 b)))))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))))
Outputs
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b)) (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 3 binary64)) (*.f64 (*.f64 #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b)) #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b))) #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b)))) (+.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b)) #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b))))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b)) #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b))) (pow.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b)) (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b)) #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b))) #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b)) (pow.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b)) #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b)) (-.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b)) (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))))))))
(/.f64 (-.f64 (*.f64 #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b)) #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b))) (pow.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64))) (-.f64 #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b)) (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
(/.f64 (fma.f64 (*.f64 #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b)) #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b))) #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b)) (pow.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b)) #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b)) (-.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b)) (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)))))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)))) #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b)))
(-.f64 (/.f64 (*.f64 #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b)) #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b))) (-.f64 #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b)) (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))))) (/.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b)) (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))))))
(+.f64 (/.f64 (*.f64 (*.f64 #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b)) #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b))) #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b))) (fma.f64 #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b)) #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b)) (-.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b)) (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))))))) (/.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b)) #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b)) (-.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b)) (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))))))))
(+.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b)))
(+.f64 #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b)) (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))))
#s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b))
(*.f64 #s(literal 1/2 binary64) b)
(*.f64 b #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
b
(*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
(log1p.f64 (exp.f64 a))
(neg.f64 (neg.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
(-.f64 (log.f64 (expm1.f64 (+.f64 a a))) (log.f64 (+.f64 (exp.f64 a) #s(literal -1 binary64))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a))))
(-.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))))))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (log.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 #s(literal 0 binary64) a))))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64))))))
(-.f64 #s(literal 0 binary64) (neg.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
(+.f64 #s(literal 0 binary64) (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 a) #s(literal 3 binary64)) (pow.f64 (sinh.f64 a) #s(literal 3 binary64))) (fma.f64 (cosh.f64 a) (cosh.f64 a) (-.f64 (*.f64 (sinh.f64 a) (sinh.f64 a)) (*.f64 (cosh.f64 a) (sinh.f64 a)))))
(exp.f64 a)
(+.f64 (cosh.f64 a) (sinh.f64 a))
a
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(approx (+ (* (* a a) 1/2) a) a))))
#s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(approx (+ (* (* a a) 1/2) a) a)))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(approx (+ (* (* a a) 1/2) a) a))
#s(approx (+ (* (* a a) 1/2) a) a)
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (/ 1 (/ 1 (- (exp a) -1))) (+.f64 #s(literal 2 binary64) a))))
#s(approx (+ (exp a) (exp b)) #s(approx (/ 1 (/ 1 (- (exp a) -1))) (+.f64 #s(literal 2 binary64) a)))
#s(approx (/ 1 (/ 1 (- (exp a) -1))) (+.f64 #s(literal 2 binary64) a))
(/.f64 (fma.f64 (*.f64 a a) a #s(literal 8 binary64)) (fma.f64 a a (-.f64 #s(literal 4 binary64) (*.f64 a #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (*.f64 a a))) (neg.f64 (-.f64 #s(literal 2 binary64) a)))
(/.f64 (neg.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 a a) a))) (neg.f64 (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 a a) (*.f64 #s(literal 2 binary64) a)))))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 a a)) (-.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 a a) a)) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 a a) (*.f64 #s(literal 2 binary64) a))))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 a a) (-.f64 #s(literal 2 binary64) a)))
(+.f64 (/.f64 #s(literal 8 binary64) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 a a) (*.f64 #s(literal 2 binary64) a)))) (/.f64 (*.f64 (*.f64 a a) a) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 a a) (*.f64 #s(literal 2 binary64) a)))))
(+.f64 #s(literal 2 binary64) a)
(+.f64 a #s(literal 2 binary64))
#s(literal 2 binary64)
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
#s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 4 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 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a))))
(/.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 4 binary64))) (neg.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a) #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 8 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 4 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 2 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 8 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 4 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a) #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 4 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 2 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 4 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a) #s(literal 3 binary64))) (+.f64 #s(literal 4 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 2 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 8 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 4 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a) #s(literal 2 binary64)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64))
(fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #s(literal 2 binary64))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a))) (/.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 2 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)) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a) #s(literal 2 binary64))))
(-.f64 #s(literal 2 binary64) (*.f64 (neg.f64 a) (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64))))
(+.f64 (/.f64 #s(literal 8 binary64) (+.f64 #s(literal 4 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 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a))))) (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a) #s(literal 3 binary64)) (+.f64 #s(literal 4 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 2 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)) (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 4 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a) #s(literal 2 binary64))))) (/.f64 #s(literal 8 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 4 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a) #s(literal 2 binary64))))))
(+.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a) #s(literal 2 binary64))
(+.f64 #s(literal 2 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 (fma.f64 (*.f64 (*.f64 a a) a) #s(literal 1/8 binary64) (pow.f64 (*.f64 a (/.f64 #s(literal 1 binary64) a)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 #s(literal 1/2 binary64) a) (-.f64 (*.f64 (*.f64 a (/.f64 #s(literal 1 binary64) a)) (*.f64 a (/.f64 #s(literal 1 binary64) a))) (*.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 a (/.f64 #s(literal 1 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 #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 (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 (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 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 #s(literal 1/2 binary64) a)) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 #s(literal 1/2 binary64) a))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a)))
(/.f64 (fma.f64 (*.f64 (*.f64 a a) a) #s(literal 1/8 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 #s(literal 1/2 binary64) a) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64)))))
(/.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)))))
(fma.f64 #s(literal 1/2 binary64) a (*.f64 a (/.f64 #s(literal 1 binary64) a)))
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(fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64))
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(+.f64 (*.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64))
#s(literal 1 binary64)
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(neg.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)))
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(-.f64 (exp.f64 a) #s(literal -1 binary64))
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(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal -1 binary64))
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(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+.f64 (exp.f64 a) #s(literal 1 binary64))
#s(literal -1 binary64)
#s(approx (log (+ (exp a) (exp b))) (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))) (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
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#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))
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#s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b))
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#s(approx (/ b (- (exp a) -1)) (fma.f64 (-.f64 (neg.f64 (*.f64 (*.f64 b #s(literal 0 binary64)) a)) (*.f64 #s(literal 1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)))
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#s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64)))
#s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))
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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)))
#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) a) (exp b)) -1) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (+.f64 (+.f64 (exp.f64 b) a) #s(literal 1 binary64)))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (-.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 (+ (* (* a a) 1/2) a) a)
#s(approx (+ (* (* a a) 1/2) a) (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a))
#s(approx (/ 1 (/ 1 (- (exp a) -1))) #s(literal 2 binary64))
#s(approx (/ 1 (/ 1 (- (exp a) -1))) (+.f64 #s(literal 2 binary64) a))
#s(approx (/ 1 (/ 1 (- (exp a) -1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))
#s(approx (/ 1 (/ 1 (- (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 (+ 2 a) #s(literal 2 binary64))
#s(approx (+ 2 a) (+.f64 #s(literal 2 binary64) a))
#s(approx (+ (* (+ (* 1/2 a) 1) a) 2) #s(literal 2 binary64))
#s(approx (+ (* (+ (* 1/2 a) 1) a) 2) (+.f64 #s(literal 2 binary64) a))
#s(approx (+ (* (+ (* 1/2 a) 1) a) 2) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))
#s(approx (+ (* 1/2 a) 1) #s(literal 1 binary64))
#s(approx (+ (* 1/2 a) 1) (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)))
#s(approx (/ 1 (/ 1 (- (exp a) -1))) #s(literal 2 binary64))
#s(approx (/ 1 (/ 1 (- (exp a) -1))) (+.f64 #s(literal 2 binary64) a))
#s(approx (/ 1 (/ 1 (- (exp a) -1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))
#s(approx (/ 1 (/ 1 (- (exp a) -1))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64)))
#s(approx (/ 1 (- (exp a) -1)) #s(literal 1/2 binary64))
#s(approx (/ 1 (- (exp a) -1)) (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)))
#s(approx (/ 1 (- (exp a) -1)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 a a) #s(literal -1/4 binary64)) a #s(literal 1/2 binary64)))
#s(approx (/ 1 (- (exp a) -1)) (fma.f64 (fma.f64 (fma.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 (log (+ (exp a) (exp b))) (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
#s(approx (/ b (- (exp a) -1)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))))
#s(approx (log (+ 1 (exp a))) (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))))
#s(approx (exp a) (exp.f64 a))
#s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 b) (exp.f64 a)))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (fma.f64 a (*.f64 #s(literal 1/2 binary64) a) a))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (*.f64 (+.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a a)) (/.f64 #s(literal 1 binary64) a)) #s(literal 1/2 binary64)) (*.f64 a a)))
#s(approx (+ (* (* a a) 1/2) a) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))
#s(approx (+ (* (* a a) 1/2) a) (fma.f64 a (*.f64 #s(literal 1/2 binary64) a) a))
#s(approx (/ 1 (/ 1 (- (exp a) -1))) (-.f64 (exp.f64 a) #s(literal -1 binary64)))
#s(approx (+ 2 a) a)
#s(approx (+ 2 a) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) a) #s(literal 1 binary64)) a))
#s(approx (+ (* (+ (* 1/2 a) 1) a) 2) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* 1/2 a) 1) a) 2) (fma.f64 a (*.f64 #s(literal 1/2 binary64) a) a))
#s(approx (+ (* (+ (* 1/2 a) 1) a) 2) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1/2 binary64)) (/.f64 #s(literal 2 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 (/ 1 (/ 1 (- (exp a) -1))) (-.f64 (exp.f64 a) #s(literal -1 binary64)))
#s(approx (/ 1 (- (exp a) -1)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) a)) #s(literal 1 binary64)) a)) #s(literal 1/2 binary64)) (*.f64 a a)))
#s(approx (log (+ (exp a) (exp b))) (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (fma.f64 b (fma.f64 (*.f64 #s(literal 1/2 binary64) b) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64)))) (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) (-.f64 (fma.f64 (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal -3 binary64)) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64)))) (*.f64 (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal -2 binary64)) #s(literal 3 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal -2 binary64))) #s(literal 1/2 binary64))) b (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64)))) b (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))))
#s(approx (* 1/2 b) (*.f64 #s(literal 1/2 binary64) b))
#s(approx b b)
#s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64)))
#s(approx (+ (exp a) (exp b)) (+.f64 (+.f64 b (exp.f64 a)) #s(literal 1 binary64)))
#s(approx (+ (exp a) (exp b)) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (exp.f64 a)) #s(literal 1 binary64)))
#s(approx (+ (exp a) (exp b)) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b (exp.f64 a)) #s(literal 1 binary64)))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a b) #s(literal 2 binary64)))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a)) #s(literal 2 binary64)))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a)) #s(literal 2 binary64)))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (*.f64 (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) b) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64)))) b))
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (neg.f64 (*.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) (neg.f64 b)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64)))) b)))

eval26.0ms (0.3%)

Memory
-10.9MiB live, 35.8MiB allocated; 6ms collecting garbage
Compiler

Compiled 2 507 to 1 081 computations (56.9% saved)

prune19.0ms (0.2%)

Memory
33.4MiB live, 33.4MiB allocated; 0ms collecting garbage
Pruning

23 alts after pruning (15 fresh and 8 done)

PrunedKeptTotal
New1995204
Fresh21012
Picked145
Done044
Total20223225
Accuracy
99.4%
Counts
225 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.4%
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
46.2%
(log.f64 #s(approx (+ (exp a) (exp b)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp a) -1)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 a a) #s(literal -1/4 binary64)) a #s(literal 1/2 binary64))))))
47.5%
(log.f64 #s(approx (+ (exp a) (exp b)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp a) -1)) (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64))))))
49.2%
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
48.7%
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
2.9%
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 #s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) a)) #s(literal -1 binary64))))
1.5%
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 #s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) #s(approx (+ (* (* a a) 1/2) a) a)) #s(literal -1 binary64))))
46.9%
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
2.0%
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))))
23.9%
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(approx (+ (* (+ (* 1/2 a) 1) a) 2) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 a a))) (*.f64 a a))))))
0.2%
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(approx (+ (* (* a a) 1/2) a) a))))
45.3%
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a))))
45.2%
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(approx (+ 2 a) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) a) #s(literal 1 binary64)) a)))))
47.0%
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64))))
48.9%
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
56.7%
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a))))
47.4%
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b)) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))))
47.8%
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
46.8%
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a (*.f64 #s(literal 1/2 binary64) b)) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)) (-.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a (*.f64 #s(literal 1/2 binary64) b)) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a (*.f64 #s(literal 1/2 binary64) b))))))))
53.2%
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
46.6%
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))))
2.7%
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) (*.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a))))
5.5%
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) (*.f64 (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)) b))))
Compiler

Compiled 948 to 705 computations (25.6% saved)

regimes56.0ms (0.8%)

Memory
2.9MiB live, 93.1MiB allocated; 6ms collecting garbage
Counts
44 → 2
Calls
Call 1
Inputs
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(approx (+ (* (* a a) 1/2) a) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) (*.f64 (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) (*.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a))))
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 #s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) #s(approx (+ (* (* a a) 1/2) a) a)) #s(literal -1 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) a))))
(log.f64 #s(approx (+ (exp a) (exp b)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp a) -1)) (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64))))))
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 #s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) #s(literal -1 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (exp b)) -1) (*.f64 (*.f64 (*.f64 a a) a) #s(literal 1/6 binary64)))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(approx (+ 2 a) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) a) #s(literal 1 binary64)) a)))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 #s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) a)) #s(literal -1 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(approx (exp b) #s(literal 1 binary64))) #s(literal -1 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (exp b)) -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)))))
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #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)))))
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (+.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)) (log.f64 #s(literal 2 binary64)))))
(log.f64 #s(approx (+ (exp a) (exp b)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp a) -1)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 a a) #s(literal -1/4 binary64)) a #s(literal 1/2 binary64))))))
(log.f64 #s(approx (+ (exp a) (exp b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64))))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(approx (+ (* (+ (* 1/2 a) 1) a) 2) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 a a))) (*.f64 a a))))))
(log.f64 #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))))
(log.f64 #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))))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b)) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(approx (log (- (exp a) -1)) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))))
(log.f64 #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))))
(log.f64 #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 (log (+ (exp a) (exp b))) (+.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(approx (log (- (exp a) -1)) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))))
(-.f64 (log.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (log.f64 (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a (*.f64 #s(literal 1/2 binary64) b)) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)) (-.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a (*.f64 #s(literal 1/2 binary64) b)) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a (*.f64 #s(literal 1/2 binary64) b))))))))
#s(approx (log (+ (exp a) (exp b))) (/.f64 (+.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))))))))
Outputs
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a))))
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b)))
Calls

6 calls:

13.0ms
b
10.0ms
a
8.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
7.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
7.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
97.6%1(exp.f64 b)
97.6%1(exp.f64 a)
97.6%1(+.f64 (exp.f64 a) (exp.f64 b))
97.6%1(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
99.2%2a
97.6%1b
Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes51.0ms (0.7%)

Memory
-22.4MiB live, 78.8MiB allocated; 7ms collecting garbage
Counts
39 → 2
Calls
Call 1
Inputs
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(approx (+ (* (* a a) 1/2) a) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) (*.f64 (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) (*.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a))))
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 #s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) #s(approx (+ (* (* a a) 1/2) a) a)) #s(literal -1 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) a))))
(log.f64 #s(approx (+ (exp a) (exp b)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp a) -1)) (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64))))))
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 #s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) #s(literal -1 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (exp b)) -1) (*.f64 (*.f64 (*.f64 a a) a) #s(literal 1/6 binary64)))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(approx (+ 2 a) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) a) #s(literal 1 binary64)) a)))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 #s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) a)) #s(literal -1 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(approx (exp b) #s(literal 1 binary64))) #s(literal -1 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (exp b)) -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)))))
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #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)))))
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (+.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)) (log.f64 #s(literal 2 binary64)))))
(log.f64 #s(approx (+ (exp a) (exp b)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp a) -1)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 a a) #s(literal -1/4 binary64)) a #s(literal 1/2 binary64))))))
(log.f64 #s(approx (+ (exp a) (exp b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64))))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(approx (+ (* (+ (* 1/2 a) 1) a) 2) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 a a))) (*.f64 a a))))))
(log.f64 #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))))
(log.f64 #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))))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b)) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(approx (log (- (exp a) -1)) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))))
(log.f64 #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))))
(log.f64 #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 (log (+ (exp a) (exp b))) (+.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
Outputs
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b)))
Calls

6 calls:

13.0ms
a
9.0ms
b
8.0ms
(exp.f64 a)
7.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
7.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
Results
AccuracySegmentsBranch
97.1%1(exp.f64 b)
97.1%1(exp.f64 a)
97.1%1(+.f64 (exp.f64 a) (exp.f64 b))
97.1%1(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
97.1%1b
98.7%2a
Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes50.0ms (0.7%)

Memory
0.8MiB live, 91.8MiB allocated; 5ms collecting garbage
Counts
38 → 2
Calls
Call 1
Inputs
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(approx (+ (* (* a a) 1/2) a) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) (*.f64 (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) (*.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a))))
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 #s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) #s(approx (+ (* (* a a) 1/2) a) a)) #s(literal -1 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) a))))
(log.f64 #s(approx (+ (exp a) (exp b)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp a) -1)) (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64))))))
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 #s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) #s(literal -1 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (exp b)) -1) (*.f64 (*.f64 (*.f64 a a) a) #s(literal 1/6 binary64)))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(approx (+ 2 a) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) a) #s(literal 1 binary64)) a)))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 #s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) a)) #s(literal -1 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(approx (exp b) #s(literal 1 binary64))) #s(literal -1 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (exp b)) -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)))))
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #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)))))
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (+.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)) (log.f64 #s(literal 2 binary64)))))
(log.f64 #s(approx (+ (exp a) (exp b)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp a) -1)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 a a) #s(literal -1/4 binary64)) a #s(literal 1/2 binary64))))))
(log.f64 #s(approx (+ (exp a) (exp b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64))))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(approx (+ (* (+ (* 1/2 a) 1) a) 2) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 a a))) (*.f64 a a))))))
(log.f64 #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))))
(log.f64 #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))))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b)) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(approx (log (- (exp a) -1)) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))))
(log.f64 #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))))
(log.f64 #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 (log (+ (exp a) (exp b))) (+.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
Outputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Calls

6 calls:

10.0ms
a
9.0ms
(exp.f64 b)
9.0ms
b
6.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
6.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
Results
AccuracySegmentsBranch
58.8%2(exp.f64 b)
98.1%2(+.f64 (exp.f64 a) (exp.f64 b))
98.1%2(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
72.8%3b
98.7%2(exp.f64 a)
98.7%2a
Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes20.0ms (0.3%)

Memory
-9.8MiB live, 42.0MiB allocated; 8ms collecting garbage
Counts
32 → 2
Calls
Call 1
Inputs
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(approx (+ (* (* a a) 1/2) a) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) (*.f64 (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) (*.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a))))
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 #s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) #s(approx (+ (* (* a a) 1/2) a) a)) #s(literal -1 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) a))))
(log.f64 #s(approx (+ (exp a) (exp b)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp a) -1)) (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64))))))
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 #s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) #s(literal -1 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (exp b)) -1) (*.f64 (*.f64 (*.f64 a a) a) #s(literal 1/6 binary64)))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(approx (+ 2 a) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) a) #s(literal 1 binary64)) a)))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 #s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) a)) #s(literal -1 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(approx (exp b) #s(literal 1 binary64))) #s(literal -1 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (exp b)) -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)))))
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #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)))))
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (+.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)) (log.f64 #s(literal 2 binary64)))))
(log.f64 #s(approx (+ (exp a) (exp b)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp a) -1)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 a a) #s(literal -1/4 binary64)) a #s(literal 1/2 binary64))))))
(log.f64 #s(approx (+ (exp a) (exp b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64))))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(approx (+ (* (+ (* 1/2 a) 1) a) 2) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 a a))) (*.f64 a a))))))
(log.f64 #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))))
(log.f64 #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))))
Outputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (exp.f64 b)) #s(literal -1 binary64))))
Calls

2 calls:

10.0ms
(exp.f64 a)
8.0ms
a
Results
AccuracySegmentsBranch
98.2%2(exp.f64 a)
98.2%2a
Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes25.0ms (0.3%)

Memory
39.5MiB live, 39.5MiB allocated; 0ms collecting garbage
Counts
30 → 2
Calls
Call 1
Inputs
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(approx (+ (* (* a a) 1/2) a) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) (*.f64 (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) (*.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a))))
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 #s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) #s(approx (+ (* (* a a) 1/2) a) a)) #s(literal -1 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) a))))
(log.f64 #s(approx (+ (exp a) (exp b)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp a) -1)) (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64))))))
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 #s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) #s(literal -1 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (exp b)) -1) (*.f64 (*.f64 (*.f64 a a) a) #s(literal 1/6 binary64)))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(approx (+ 2 a) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) a) #s(literal 1 binary64)) a)))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 #s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) a)) #s(literal -1 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(approx (exp b) #s(literal 1 binary64))) #s(literal -1 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (exp b)) -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)))))
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #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)))))
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (+.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)) (log.f64 #s(literal 2 binary64)))))
(log.f64 #s(approx (+ (exp a) (exp b)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp a) -1)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 a a) #s(literal -1/4 binary64)) a #s(literal 1/2 binary64))))))
(log.f64 #s(approx (+ (exp a) (exp b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64))))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(approx (+ (* (+ (* 1/2 a) 1) a) 2) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 a a))) (*.f64 a a))))))
Outputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b)))
Calls

4 calls:

7.0ms
a
5.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
5.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
5.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
97.6%2(+.f64 (exp.f64 a) (exp.f64 b))
97.6%2(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
98.0%2(exp.f64 a)
98.0%2a
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes15.0ms (0.2%)

Memory
-26.0MiB live, 20.0MiB allocated; 4ms collecting garbage
Counts
23 → 2
Calls
Call 1
Inputs
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(approx (+ (* (* a a) 1/2) a) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) (*.f64 (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) (*.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a))))
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 #s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) #s(approx (+ (* (* a a) 1/2) a) a)) #s(literal -1 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) a))))
(log.f64 #s(approx (+ (exp a) (exp b)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp a) -1)) (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64))))))
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 #s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) #s(literal -1 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (exp b)) -1) (*.f64 (*.f64 (*.f64 a a) a) #s(literal 1/6 binary64)))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(approx (+ 2 a) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) a) #s(literal 1 binary64)) a)))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 #s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) a)) #s(literal -1 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(approx (exp b) #s(literal 1 binary64))) #s(literal -1 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (exp b)) -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)))))
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #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)))))
Outputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
Calls

2 calls:

10.0ms
a
4.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
97.7%2(exp.f64 a)
97.7%2a
Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes48.0ms (0.6%)

Memory
4.5MiB live, 48.7MiB allocated; 6ms collecting garbage
Counts
20 → 2
Calls
Call 1
Inputs
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(approx (+ (* (* a a) 1/2) a) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) (*.f64 (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) (*.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a))))
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 #s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) #s(approx (+ (* (* a a) 1/2) a) a)) #s(literal -1 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) a))))
(log.f64 #s(approx (+ (exp a) (exp b)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp a) -1)) (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64))))))
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 #s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) #s(literal -1 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (exp b)) -1) (*.f64 (*.f64 (*.f64 a a) a) #s(literal 1/6 binary64)))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(approx (+ 2 a) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) a) #s(literal 1 binary64)) a)))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 #s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) a)) #s(literal -1 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(approx (exp b) #s(literal 1 binary64))) #s(literal -1 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
Outputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
Calls

4 calls:

34.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
5.0ms
a
4.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
4.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
95.8%2(+.f64 (exp.f64 a) (exp.f64 b))
95.8%2(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
96.4%2(exp.f64 a)
96.4%2a
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes10.0ms (0.1%)

Memory
18.7MiB live, 18.7MiB allocated; 0ms collecting garbage
Counts
19 → 2
Calls
Call 1
Inputs
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(approx (+ (* (* a a) 1/2) a) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) (*.f64 (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) (*.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a))))
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 #s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) #s(approx (+ (* (* a a) 1/2) a) a)) #s(literal -1 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) a))))
(log.f64 #s(approx (+ (exp a) (exp b)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp a) -1)) (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64))))))
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 #s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) #s(literal -1 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (exp b)) -1) (*.f64 (*.f64 (*.f64 a a) a) #s(literal 1/6 binary64)))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(approx (+ 2 a) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) a) #s(literal 1 binary64)) a)))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 #s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) a)) #s(literal -1 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(approx (exp b) #s(literal 1 binary64))) #s(literal -1 binary64))))
Outputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
Calls

2 calls:

5.0ms
a
3.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
96.2%2(exp.f64 a)
96.2%2a
Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes45.0ms (0.6%)

Memory
-8.8MiB live, 38.0MiB allocated; 2ms collecting garbage
Counts
16 → 1
Calls
Call 1
Inputs
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(approx (+ (* (* a a) 1/2) a) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) (*.f64 (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) (*.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a))))
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 #s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) #s(approx (+ (* (* a a) 1/2) a) a)) #s(literal -1 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) a))))
(log.f64 #s(approx (+ (exp a) (exp b)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp a) -1)) (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64))))))
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 #s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) #s(literal -1 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (exp b)) -1) (*.f64 (*.f64 (*.f64 a a) a) #s(literal 1/6 binary64)))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(approx (+ 2 a) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) a) #s(literal 1 binary64)) a)))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
Outputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
Calls

6 calls:

26.0ms
(exp.f64 a)
4.0ms
a
4.0ms
b
3.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
3.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
Results
AccuracySegmentsBranch
47.8%1(exp.f64 b)
47.8%1b
47.8%1(+.f64 (exp.f64 a) (exp.f64 b))
47.8%1(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
47.8%1(exp.f64 a)
47.8%1a
Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes14.0ms (0.2%)

Memory
-26.5MiB live, 32.0MiB allocated; 2ms collecting garbage
Accuracy

Total -29.9b remaining (-88.1%)

Threshold costs -29.9b (-88.1%)

Counts
7 → 1
Calls
Call 1
Inputs
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(approx (+ (* (* a a) 1/2) a) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) (*.f64 (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) (*.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a))))
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 #s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) #s(approx (+ (* (* a a) 1/2) a) a)) #s(literal -1 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(approx (+ (+ (* (- 1/2 (* 1/4 b)) a) (* 1/2 b)) (log 2)) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))))
Outputs
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64))))
Calls

6 calls:

3.0ms
(exp.f64 a)
2.0ms
a
2.0ms
b
2.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
2.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
Results
AccuracySegmentsBranch
47.0%1a
47.0%1(exp.f64 a)
47.0%1b
47.0%1(exp.f64 b)
47.0%1(+.f64 (exp.f64 a) (exp.f64 b))
47.0%1(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 17 to 21 computations (-23.5% saved)

bsearch2.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
1.0ms
-1.8799238320898798e-78
-8.392330251277452e-80
Samples
1.0ms16×0valid
Compiler

Compiled 32 to 35 computations (-9.4% saved)

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

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
0.0ms
-1.8799238320898798e-78
-8.392330251277452e-80
Compiler

Compiled 33 to 35 computations (-6.1% saved)

bsearch16.0ms (0.2%)

Memory
32.6MiB live, 32.6MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
15.0ms
-118.36910500511287
-19.69688387921893
Samples
11.0ms89×1valid
0.0ms0valid
Compiler

Compiled 165 to 161 computations (2.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-exp: 4.0ms (47.7% of total)
ival-log: 3.0ms (35.8% of total)
adjust: 1.0ms (11.9% of total)
ival-add!: 0.0ms (0% of total)

bsearch33.0ms (0.4%)

Memory
-16.7MiB live, 27.2MiB allocated; 5ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
31.0ms
-3736855.507874481
-118.36910500511287
Samples
15.0ms100×1valid
8.0ms18×2valid
1.0ms10×0valid
Compiler

Compiled 281 to 275 computations (2.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-log: 9.0ms (46.8% of total)
ival-exp: 7.0ms (36.4% of total)
adjust: 2.0ms (10.4% of total)
ival-add!: 1.0ms (5.2% of total)

bsearch28.0ms (0.4%)

Memory
-20.8MiB live, 23.1MiB allocated; 6ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
11.0ms
-19.69688387921893
-0.031443961004454644
Samples
6.0ms128×0valid
Compiler

Compiled 241 to 235 computations (2.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-exp: 2.0ms (54% of total)
ival-log: 1.0ms (27% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.8MiB live, 1.7MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
-3736855.507874481
-118.36910500511287
Compiler

Compiled 249 to 243 computations (2.4% saved)

bsearch3.0ms (0%)

Memory
4.1MiB live, 4.1MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
3.0ms
-118.36910500511287
-19.69688387921893
Samples
2.0ms16×1valid
Compiler

Compiled 189 to 185 computations (2.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-exp: 1.0ms (71.6% of total)
adjust: 0.0ms (0% of total)
ival-log: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
-3736855.507874481
-118.36910500511287
Compiler

Compiled 329 to 299 computations (9.1% saved)

derivations235.0ms (3.1%)

Memory
3.2MiB live, 155.7MiB allocated; 18ms collecting garbage
Stop Event
fuel
Compiler

Compiled 107 to 67 computations (37.4% saved)

preprocess91.0ms (1.2%)

Memory
0.5MiB live, 236.4MiB allocated; 18ms collecting garbage
Remove

(sort a b)

Compiler

Compiled 643 to 507 computations (21.2% saved)

end0.0ms (0%)

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

Profiling

Loading profile data...