symmetry log of sum of exp

Time bar (total: 7.4s)

start0.0ms (0%)

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

analyze172.0ms (2.3%)

Memory
1.8MiB live, 185.5MiB allocated; 45ms 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 (64.6%)

Memory
107.1MiB live, 6 309.4MiB allocated; 817ms collecting garbage
Samples
2.3s7 939×5exit
830.0ms1 714×2valid
484.0ms2 340×1valid
275.0ms4 202×0valid
Precisions
Click to see histograms. Total time spent on operations: 3.0s
ival-log: 1.1s (35.8% of total)
ival-exp: 901.0ms (30% of total)
adjust: 825.0ms (27.5% of total)
ival-add!: 201.0ms (6.7% of total)
Bogosity

preprocess61.0ms (0.8%)

Memory
-37.6MiB live, 59.9MiB allocated; 16ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01842
14142
211742
349342
4531342
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.6%
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Symmetry

(sort a b)

Compiler

Compiled 12 to 12 computations (0% saved)

series82.0ms (1.1%)

Memory
31.5MiB live, 120.6MiB allocated; 13ms 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
26.0ms
a
@inf
((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) a (exp b) b)
23.0ms
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)

rewrite184.0ms (2.5%)

Memory
20.3MiB live, 206.7MiB allocated; 71ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0133549
0137533
1867533
08509485
Stop Event
iter-limit
node-limit
iter-limit
Counts
36 → 71
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)))))
(fma.f64 #s(literal 1 binary64) (exp.f64 b) (exp.f64 a))
(fma.f64 #s(literal 1 binary64) (exp.f64 a) (exp.f64 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 b) (cosh.f64 a)) (sinh.f64 a))
(+.f64 (+.f64 (exp.f64 a) (cosh.f64 b)) (sinh.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 (cosh.f64 b) (+.f64 (sinh.f64 b) (exp.f64 a)))
(+.f64 (cosh.f64 a) (+.f64 (sinh.f64 a) (exp.f64 b)))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 a) (exp.f64 b))
(*.f64 #s(literal 1 binary64) (exp.f64 a))
(/.f64 (-.f64 (*.f64 (cosh.f64 a) (cosh.f64 a)) (*.f64 (sinh.f64 a) (sinh.f64 a))) (-.f64 (cosh.f64 a) (sinh.f64 a)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 a) #s(literal 3 binary64)) (pow.f64 (sinh.f64 a) #s(literal 3 binary64))) (fma.f64 (cosh.f64 a) (cosh.f64 a) (-.f64 (*.f64 (sinh.f64 a) (sinh.f64 a)) (*.f64 (cosh.f64 a) (sinh.f64 a)))))
(fma.f64 (cosh.f64 a) #s(literal 1 binary64) (*.f64 (sinh.f64 a) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cosh.f64 a) (*.f64 #s(literal 1 binary64) (sinh.f64 a)))
(+.f64 (*.f64 (cosh.f64 a) #s(literal 1 binary64)) (*.f64 (sinh.f64 a) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 a)) (*.f64 #s(literal 1 binary64) (sinh.f64 a)))
(+.f64 (cosh.f64 a) (sinh.f64 a))
(exp.f64 (+.f64 #s(literal 0 binary64) a))
(exp.f64 a)
a
(*.f64 #s(literal 1 binary64) (exp.f64 b))
(/.f64 (-.f64 (*.f64 (cosh.f64 b) (cosh.f64 b)) (*.f64 (sinh.f64 b) (sinh.f64 b))) (-.f64 (cosh.f64 b) (sinh.f64 b)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 b) #s(literal 3 binary64)) (pow.f64 (sinh.f64 b) #s(literal 3 binary64))) (fma.f64 (cosh.f64 b) (cosh.f64 b) (-.f64 (*.f64 (sinh.f64 b) (sinh.f64 b)) (*.f64 (cosh.f64 b) (sinh.f64 b)))))
(fma.f64 (cosh.f64 b) #s(literal 1 binary64) (*.f64 (sinh.f64 b) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cosh.f64 b) (*.f64 #s(literal 1 binary64) (sinh.f64 b)))
(+.f64 (*.f64 (cosh.f64 b) #s(literal 1 binary64)) (*.f64 (sinh.f64 b) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 b)) (*.f64 #s(literal 1 binary64) (sinh.f64 b)))
(+.f64 (cosh.f64 b) (sinh.f64 b))
(exp.f64 (+.f64 #s(literal 0 binary64) b))
(exp.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)) (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 (+ (exp 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 (-.f64 (exp.f64 b) #s(literal -1 binary64))))
#s(approx (exp a) #s(literal 1 binary64))
#s(approx (exp a) (-.f64 a #s(literal -1 binary64)))
#s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
#s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
#s(approx a a)
#s(approx (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)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (-.f64 (exp.f64 a) #s(literal -1 binary64))))
#s(approx (+ (exp a) (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 (-.f64 (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))

eval9.0ms (0.1%)

Memory
-22.3MiB live, 24.0MiB allocated; 3ms collecting garbage
Compiler

Compiled 637 to 297 computations (53.4% saved)

prune9.0ms (0.1%)

Memory
30.1MiB live, 30.1MiB allocated; 0ms collecting garbage
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New541266
Fresh000
Picked011
Done000
Total541367
Accuracy
99.4%
Counts
67 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.1%
(log.f64 (/.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))))))
53.6%
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
51.7%
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))
47.3%
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b)))
52.5%
(log.f64 #s(approx (+ (exp a) (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 (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
47.6%
(log.f64 #s(approx (+ (exp 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 (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
52.3%
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
48.8%
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
48.3%
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
49.2%
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
48.7%
#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)))))
98.6%
#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)))))
48.6%
#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 352 to 330 computations (6.3% saved)

series103.0ms (1.4%)

Memory
-24.4MiB live, 220.4MiB allocated; 20ms collecting garbage
Counts
29 → 102
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)) (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 (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (-.f64 (exp.f64 b) #s(literal -1 binary64))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (-.f64 (exp.f64 b) #s(literal -1 binary64)))
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(-.f64 (exp.f64 b) #s(literal -1 binary64))
(log.f64 #s(approx (+ (exp 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 (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
#s(approx (+ (exp 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 (-.f64 (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 (-.f64 (exp.f64 b) #s(literal -1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
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) #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) #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) #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) #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 (+ (* (+ (* (+ (* 1/6 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 (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 (- (exp b) -1) #s(hole binary64 2))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 b)))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (+ (* (+ (* (+ (* 1/6 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 (+ (/ 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 (- (exp b) -1) #s(hole binary64 (+ 1 (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
24.0ms
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) 1/2 1 (- (exp b) -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) (+ (* 1/6 a) 1/2) 1/6)
24.0ms
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) 1/2 1 (- (exp b) -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) (+ (* 1/6 a) 1/2) 1/6)
20.0ms
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) 1/2 1 (- (exp b) -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) (+ (* 1/6 a) 1/2) 1/6)
15.0ms
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) 1/2 1 (- (exp b) -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) (+ (* 1/6 a) 1/2) 1/6)
9.0ms
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) 1/2 1 (- (exp b) -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) (+ (* 1/6 a) 1/2) 1/6)

rewrite210.0ms (2.8%)

Memory
26.5MiB live, 256.4MiB allocated; 28ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03782186
04112066
122992062
0106771966
Stop Event
iter-limit
node-limit
iter-limit
Counts
131 → 251
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)) (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 (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (-.f64 (exp.f64 b) #s(literal -1 binary64))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (-.f64 (exp.f64 b) #s(literal -1 binary64)))
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(-.f64 (exp.f64 b) #s(literal -1 binary64))
(log.f64 #s(approx (+ (exp 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 (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
#s(approx (+ (exp 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 (-.f64 (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 (-.f64 (exp.f64 b) #s(literal -1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#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) #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) #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) #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) #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 (+ (* (+ (* (+ (* 1/6 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 (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 (- (exp b) -1) #s(hole binary64 2))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 b)))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (+ (* (+ (* (+ (* 1/6 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 (+ (/ 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 (- (exp b) -1) #s(hole binary64 (+ 1 (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 (+.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 (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 (/.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 (-.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 (/.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 (/.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 (/.f64 b (-.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 (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 (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
(/.f64 (neg.f64 (expm1.f64 (+.f64 a a))) (neg.f64 (+.f64 (exp.f64 a) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) #s(literal -1 binary64))) (neg.f64 (+.f64 (exp.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) #s(literal -1 binary64))))))
(/.f64 (expm1.f64 (+.f64 a a)) (+.f64 (exp.f64 a) #s(literal -1 binary64)))
(/.f64 (-.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 (exp.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) #s(literal -1 binary64)))))
(-.f64 (/.f64 (exp.f64 (+.f64 a a)) (+.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal -1 binary64))))
(-.f64 (/.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) #s(literal -1 binary64))))))
(-.f64 (exp.f64 a) #s(literal -1 binary64))
(/.f64 (+.f64 (pow.f64 (cosh.f64 a) #s(literal 3 binary64)) (pow.f64 (sinh.f64 a) #s(literal 3 binary64))) (fma.f64 (cosh.f64 a) (cosh.f64 a) (-.f64 (*.f64 (sinh.f64 a) (sinh.f64 a)) (*.f64 (cosh.f64 a) (sinh.f64 a)))))
(+.f64 (cosh.f64 a) (sinh.f64 a))
(exp.f64 a)
a
#s(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 (exp.f64 (*.f64 a #s(literal 3 binary64))) #s(literal -1 binary64))) (log.f64 (+.f64 (exp.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) #s(literal -1 binary64))))))
(log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)))
(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)))
(-.f64 (log.f64 (-.f64 (*.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp a) (-.f64 a #s(literal -1 binary64)))) (exp.f64 (+.f64 b b)))) (log.f64 (-.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b))))
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#s(literal 1/6 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 (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 (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 (- a -1) #s(literal 1 binary64))
#s(approx (- a -1) (+.f64 #s(literal 1 binary64) a))
#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 (+ (* 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 (exp.f64 b) a) #s(literal 1 binary64)))
#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) #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 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (/ b (- (exp a) -1)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (- (exp a) -1) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
#s(approx (exp a) (exp.f64 a))
#s(approx (log (- (exp a) -1)) (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#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) (*.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) (*.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 (+ (* (+ (* (+ (* 1/6 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 (log (+ (exp a) (exp b))) (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (log (+ (exp a) (exp b))) (fma.f64 b (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64))) b) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#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 #s(literal 1 binary64) (exp.f64 a)) #s(literal -3 binary64)) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64)) #s(literal 3 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64))) #s(literal 1/2 binary64))) b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx b b)
#s(approx (+ (exp a) (exp b)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
#s(approx (+ (exp a) (exp b)) (+.f64 (+.f64 b (exp.f64 a)) #s(literal 1 binary64)))
#s(approx (+ (exp a) (exp b)) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (exp.f64 a)) #s(literal 1 binary64)))
#s(approx (+ (exp a) (exp b)) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b (exp.f64 a)) #s(literal 1 binary64)))
#s(approx (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 (- (exp b) -1) #s(literal 2 binary64))
#s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))
#s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
#s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/6 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 (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (*.f64 (+.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) b) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b))
#s(approx (exp b) (exp.f64 b))
#s(approx (- (exp b) -1) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (neg.f64 (*.f64 (-.f64 (/.f64 (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b)))

eval37.0ms (0.5%)

Memory
-32.0MiB live, 59.4MiB allocated; 11ms collecting garbage
Compiler

Compiled 3 733 to 1 401 computations (62.5% saved)

prune15.0ms (0.2%)

Memory
32.6MiB live, 32.6MiB allocated; 0ms collecting garbage
Pruning

21 alts after pruning (17 fresh and 4 done)

PrunedKeptTotal
New25715272
Fresh527
Picked235
Done011
Total26421285
Accuracy
99.4%
Counts
285 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.6%
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
47.3%
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b)))
46.8%
(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)))))
46.3%
(log.f64 #s(approx (+ (exp 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(approx (- (exp b) -1) #s(literal 2 binary64)))))
48.3%
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (/.f64 (-.f64 (exp.f64 (*.f64 b #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 (exp.f64 (+.f64 b b)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) #s(literal -1 binary64))))))))
48.8%
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
48.5%
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))))
47.6%
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(approx (- (exp b) -1) #s(literal 2 binary64)))))
48.3%
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
49.2%
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
46.0%
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a))))
47.1%
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64))))
0.2%
(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)))))
1.6%
(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)))))
48.0%
#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))))))
48.6%
#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)))))
47.9%
#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)))))
54.2%
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
48.1%
#s(approx (log (+ (exp a) (exp b))) #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)))))
48.1%
#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 677 to 631 computations (6.8% saved)

series94.0ms (1.3%)

Memory
-61.0MiB live, 119.1MiB allocated; 61ms collecting garbage
Counts
33 → 109
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
b
(+.f64 #s(literal 1 binary64) (exp.f64 a))
#s(literal 1 binary64)
(exp.f64 a)
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)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(approx (- (exp b) -1) #s(literal 2 binary64)))))
#s(approx (+ (exp 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(approx (- (exp b) -1) #s(literal 2 binary64))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(approx (- (exp b) -1) #s(literal 2 binary64)))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(approx (- (exp b) -1) #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))))))
(+.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)))))
(/.f64 b (-.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) -1)) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))
(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 (- (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 (+ 1 (exp a))) #s(hole binary64 (* 1/2 b)))
#s(approx (/ b (+ 1 (exp a))) #s(hole binary64 (+ (* -1/4 (* a b)) (* 1/2 b))))
#s(approx (/ b (+ 1 (exp a))) #s(hole binary64 (+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))))
#s(approx (/ b (+ 1 (exp a))) #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 (+ 1 (exp a)) #s(hole binary64 2))
#s(approx (+ 1 (exp a)) #s(hole binary64 (+ 2 a)))
#s(approx (+ 1 (exp a)) #s(hole binary64 (+ 2 (* a (+ 1 (* 1/2 a))))))
#s(approx (+ 1 (exp a)) #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 (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))
#s(approx (- (exp a) -1) #s(hole binary64 2))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 a)))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 (* a (+ 1 (* 1/2 a))))))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (+ (* (+ (* 1/2 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 (+ (* (+ (* (+ (* 1/6 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) #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 (/ 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 (- (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 (+ (* 1/2 a) (log 2)) #s(hole binary64 (log 2)))
#s(approx (+ (* 1/2 a) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 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 (+ 1 (exp a))) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (+ 1 (exp a)) #s(hole binary64 (+ 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 (- (exp a) -1) #s(hole binary64 (+ 1 (exp 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 (+ (* (* 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 (+ (* (+ (* (+ (* 1/6 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) #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 (/ b (- (exp a) -1)) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (log (- (exp a) -1)) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (+ (* 1/2 a) (log 2)) #s(hole binary64 (* 1/2 a)))
#s(approx (+ (* 1/2 a) (log 2)) #s(hole binary64 (* a (+ 1/2 (/ (log 2) 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 (+ (* (+ (* (+ (* 1/6 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 (+ (* 1/2 a) (log 2)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (log 2) a)) 1/2)))))
#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 (+ (* (+ (* 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 (+ (* (+ (* (+ (* 1/6 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 (- (exp b) -1) #s(hole binary64 2))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 b)))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (+ (/ 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) -1) #s(hole binary64 (+ 1 (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
45.0ms
a
@inf
((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (/ b (+ 1 (exp a))) b (+ 1 (exp a)) 1 (exp a) 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)) (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (- (exp b) -1)) (+ (* (+ (* 1/6 a) 1/2) a) 1) (+ (* 1/6 a) 1/2) 1/6 (- (exp b) -1) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (/ b (- (exp a) -1)) (- (exp a) -1) -1 (log (- (exp a) -1)) (+ (* 1/2 a) (log 2)) (log 2))
21.0ms
a
@-inf
((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (/ b (+ 1 (exp a))) b (+ 1 (exp a)) 1 (exp a) 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)) (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (- (exp b) -1)) (+ (* (+ (* 1/6 a) 1/2) a) 1) (+ (* 1/6 a) 1/2) 1/6 (- (exp b) -1) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (/ b (- (exp a) -1)) (- (exp a) -1) -1 (log (- (exp a) -1)) (+ (* 1/2 a) (log 2)) (log 2))
11.0ms
b
@-inf
((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (/ b (+ 1 (exp a))) b (+ 1 (exp a)) 1 (exp a) 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)) (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (- (exp b) -1)) (+ (* (+ (* 1/6 a) 1/2) a) 1) (+ (* 1/6 a) 1/2) 1/6 (- (exp b) -1) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (/ b (- (exp a) -1)) (- (exp a) -1) -1 (log (- (exp a) -1)) (+ (* 1/2 a) (log 2)) (log 2))
9.0ms
b
@inf
((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (/ b (+ 1 (exp a))) b (+ 1 (exp a)) 1 (exp a) 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)) (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (- (exp b) -1)) (+ (* (+ (* 1/6 a) 1/2) a) 1) (+ (* 1/6 a) 1/2) 1/6 (- (exp b) -1) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (/ b (- (exp a) -1)) (- (exp a) -1) -1 (log (- (exp a) -1)) (+ (* 1/2 a) (log 2)) (log 2))
4.0ms
a
@0
((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (/ b (+ 1 (exp a))) b (+ 1 (exp a)) 1 (exp a) 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)) (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (- (exp b) -1)) (+ (* (+ (* 1/6 a) 1/2) a) 1) (+ (* 1/6 a) 1/2) 1/6 (- (exp b) -1) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (/ b (- (exp a) -1)) (- (exp a) -1) -1 (log (- (exp a) -1)) (+ (* 1/2 a) (log 2)) (log 2))

rewrite209.0ms (2.8%)

Memory
36.2MiB live, 266.6MiB allocated; 28ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03902504
04142371
123332367
0107582218
Stop Event
iter-limit
node-limit
iter-limit
Counts
142 → 260
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
b
(+.f64 #s(literal 1 binary64) (exp.f64 a))
#s(literal 1 binary64)
(exp.f64 a)
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)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(approx (- (exp b) -1) #s(literal 2 binary64)))))
#s(approx (+ (exp 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(approx (- (exp b) -1) #s(literal 2 binary64))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(approx (- (exp b) -1) #s(literal 2 binary64)))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(approx (- (exp b) -1) #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))))))
(+.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)))))
(/.f64 b (-.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) -1)) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))
(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 (- (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 (+ 1 (exp a))) #s(hole binary64 (* 1/2 b)))
#s(approx (/ b (+ 1 (exp a))) #s(hole binary64 (+ (* -1/4 (* a b)) (* 1/2 b))))
#s(approx (/ b (+ 1 (exp a))) #s(hole binary64 (+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))))
#s(approx (/ b (+ 1 (exp a))) #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 (+ 1 (exp a)) #s(hole binary64 2))
#s(approx (+ 1 (exp a)) #s(hole binary64 (+ 2 a)))
#s(approx (+ 1 (exp a)) #s(hole binary64 (+ 2 (* a (+ 1 (* 1/2 a))))))
#s(approx (+ 1 (exp a)) #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 (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))
#s(approx (- (exp a) -1) #s(hole binary64 2))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 a)))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 (* a (+ 1 (* 1/2 a))))))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (+ (* (+ (* 1/2 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 (+ (* (+ (* (+ (* 1/6 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) #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 (/ 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 (- (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 (+ (* 1/2 a) (log 2)) #s(hole binary64 (log 2)))
#s(approx (+ (* 1/2 a) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 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 (+ 1 (exp a))) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (+ 1 (exp a)) #s(hole binary64 (+ 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 (- (exp a) -1) #s(hole binary64 (+ 1 (exp 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 (+ (* (* 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 (+ (* (+ (* (+ (* 1/6 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) #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 (/ b (- (exp a) -1)) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (log (- (exp a) -1)) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (+ (* 1/2 a) (log 2)) #s(hole binary64 (* 1/2 a)))
#s(approx (+ (* 1/2 a) (log 2)) #s(hole binary64 (* a (+ 1/2 (/ (log 2) 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 (+ (* (+ (* (+ (* 1/6 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 (+ (* 1/2 a) (log 2)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (log 2) a)) 1/2)))))
#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 (+ (* (+ (* 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 (+ (* (+ (* (+ (* 1/6 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 (- (exp b) -1) #s(hole binary64 2))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 b)))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (+ (/ 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) -1) #s(hole binary64 (+ 1 (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))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(/.f64 (neg.f64 b) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
b
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 1 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) #s(literal 1 binary64)) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) #s(literal 1 binary64)))))
(/.f64 (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 #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 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (-.f64 #s(literal 1 binary64) (exp.f64 a)))
(/.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 #s(literal 1 binary64) (exp.f64 a))))
(-.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 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 #s(literal 0 binary64) a))))) (/.f64 (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) (exp.f64 a))
(+.f64 (exp.f64 a) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1 binary64)))
#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)))))
(+.f64 (cosh.f64 a) (sinh.f64 a))
(exp.f64 a)
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 a (*.f64 #s(literal 1/2 binary64) a) a))))
#s(approx (+ (exp a) (exp b)) #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)) (fma.f64 a (*.f64 #s(literal 1/2 binary64) a) a))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1/2 binary64)) (*.f64 a a))
(*.f64 (*.f64 a a) (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 (*.f64 a a) a (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 (*.f64 a a) a) #s(literal 1/8 binary64)))) (fma.f64 a a (-.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) (*.f64 a (*.f64 (*.f64 a a) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) (*.f64 a a))) (neg.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) a)))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 (*.f64 a a) a) #s(literal 1/8 binary64)) (*.f64 (*.f64 a a) a))) (neg.f64 (fma.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) (-.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) a)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) (*.f64 a a)) (-.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) a))
(/.f64 (fma.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 (*.f64 a a) a) #s(literal 1/8 binary64)) (*.f64 (*.f64 a a) a)) (fma.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) (-.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) a))))
(fma.f64 (*.f64 a a) #s(literal 1/2 binary64) a)
(fma.f64 #s(literal 1/2 binary64) (*.f64 a a) a)
(fma.f64 a (*.f64 #s(literal 1/2 binary64) a) a)
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) (-.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) a)) (/.f64 (*.f64 a a) (-.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) a)))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 (*.f64 a a) a) #s(literal 1/8 binary64))) (fma.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) (-.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) a)))) (/.f64 (*.f64 (*.f64 a a) a) (fma.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) (-.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) a)))))
(+.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) a)
(+.f64 a (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 a)))
(*.f64 (neg.f64 (fabs.f64 a)) (neg.f64 (fabs.f64 a)))
(*.f64 (fabs.f64 (fabs.f64 a)) (fabs.f64 (fabs.f64 a)))
(*.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)))
(*.f64 (neg.f64 a) (neg.f64 a))
(*.f64 (fabs.f64 a) (fabs.f64 a))
(*.f64 a a)
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 2 binary64))
(pow.f64 (neg.f64 a) #s(literal 2 binary64))
(pow.f64 (fabs.f64 a) #s(literal 2 binary64))
(pow.f64 (*.f64 a a) #s(literal 1 binary64))
(pow.f64 a #s(literal 2 binary64))
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(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 #s(approx (log (- (exp a) -1)) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 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 (*.f64 #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 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))) (*.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)))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 #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 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))) (-.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))))))
(/.f64 (+.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 #s(approx (log (- (exp a) -1)) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 #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 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))) (*.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))))))))
(-.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))) #s(approx (log (- (exp a) -1)) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))) (/.f64 (*.f64 #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 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))) (-.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)))))))
(+.f64 (/.f64 (pow.f64 (/.f64 b (-.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 (*.f64 #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 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))) (*.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)))))))) (/.f64 (pow.f64 #s(approx (log (- (exp a) -1)) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 #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 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))) (*.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)))))))))
(+.f64 #s(approx (log (- (exp a) -1)) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(+.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)))))
(/.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)))
(/.f64 (neg.f64 (expm1.f64 (+.f64 a a))) (neg.f64 (+.f64 (exp.f64 a) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) #s(literal -1 binary64))) (neg.f64 (+.f64 (exp.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) #s(literal -1 binary64))))))
(/.f64 (expm1.f64 (+.f64 a a)) (+.f64 (exp.f64 a) #s(literal -1 binary64)))
(/.f64 (-.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 (exp.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) #s(literal -1 binary64)))))
(-.f64 (/.f64 (exp.f64 (+.f64 a a)) (+.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal -1 binary64))))
(-.f64 (/.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) #s(literal -1 binary64))))))
(-.f64 (exp.f64 a) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (log (- (exp a) -1)) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 #s(literal 1/2 binary64) a)))) (neg.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) a))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 #s(literal 1/2 binary64) a)) (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))))) (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) a) (log.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 a a) a) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 #s(literal 1/2 binary64) a)) (*.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) a))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 a a) a) #s(literal 1/8 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 #s(literal 1/2 binary64) a) (-.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) a) (log.f64 #s(literal 2 binary64)))))))
(/.f64 (-.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 #s(literal 1/2 binary64) a))) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) a)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 #s(literal 1/2 binary64) a)) (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) a) (log.f64 #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 a a) a) #s(literal 1/8 binary64))) (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 #s(literal 1/2 binary64) a)) (*.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) a)))))
(/.f64 (fma.f64 (*.f64 (*.f64 a a) a) #s(literal 1/8 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 #s(literal 1/2 binary64) a) (-.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) a) (log.f64 #s(literal 2 binary64))))))
(fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))
(fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(-.f64 (/.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) a))) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 #s(literal 1/2 binary64) a)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) a))))
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 #s(literal 1/2 binary64) a)) (-.f64 (*.f64 #s(literal 1/2 binary64) a) (log.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) a) (log.f64 #s(literal 2 binary64)))))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) a))
(+.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 #s(literal 1/2 binary64) a)) (*.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) a))))) (/.f64 (*.f64 (*.f64 (*.f64 a a) a) #s(literal 1/8 binary64)) (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 #s(literal 1/2 binary64) a)) (*.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) a))))))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) #s(literal 1/8 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 #s(literal 1/2 binary64) a) (-.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) a) (log.f64 #s(literal 2 binary64)))))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 #s(literal 1/2 binary64) a) (-.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) a) (log.f64 #s(literal 2 binary64)))))))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) a))
(+.f64 (*.f64 #s(literal 1/2 binary64) a) (log.f64 #s(literal 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 (- (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 (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b))
#s(approx (/ b (+ 1 (exp a))) (fma.f64 (*.f64 b a) #s(literal -1/4 binary64) (*.f64 #s(literal 1/2 binary64) b)))
#s(approx (/ b (+ 1 (exp a))) (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 (+ 1 (exp a))) (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 (+ 1 (exp a)) #s(literal 2 binary64))
#s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a))
#s(approx (+ 1 (exp a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))
#s(approx (+ 1 (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 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 (+ (exp a) (exp b)) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
#s(approx (+ (exp a) (exp b)) (+.f64 (+.f64 (exp.f64 b) a) #s(literal 1 binary64)))
#s(approx (+ (exp a) (exp b)) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (exp.f64 b)) #s(literal 1 binary64)))
#s(approx (+ (exp a) (exp b)) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a (exp.f64 b)) #s(literal 1 binary64)))
#s(approx (- (exp a) -1) #s(literal 2 binary64))
#s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a))
#s(approx (- (exp a) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))
#s(approx (- (exp a) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64)))
#s(approx (+ (* (+ (* 1/2 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 (* a a) (*.f64 a a))
#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 (exp.f64 b) a) #s(literal 1 binary64)))
#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) #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 (/ 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 (log (- (exp a) -1)) (log.f64 #s(literal 2 binary64)))
#s(approx (log (- (exp a) -1)) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))
#s(approx (log (- (exp a) -1)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))
#s(approx (log (- (exp a) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))
#s(approx (+ (* 1/2 a) (log 2)) (log.f64 #s(literal 2 binary64)))
#s(approx (+ (* 1/2 a) (log 2)) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 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 #s(literal 1 binary64) (exp.f64 a))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (/ b (+ 1 (exp a))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (+ 1 (exp a)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
#s(approx (exp a) (exp.f64 a))
#s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 b) (exp.f64 a)))
#s(approx (- (exp a) -1) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
#s(approx (+ (* (+ (* 1/2 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 (+ (* (+ (* (+ (* 1/6 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) (*.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 (/ b (- (exp a) -1)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (log (- (exp a) -1)) (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 binary64) a))
#s(approx (+ (* 1/2 a) (log 2)) (*.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) a) #s(literal 1/2 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 (+ (* (+ (* (+ (* 1/6 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 (+ (* 1/2 a) (log 2)) (neg.f64 (*.f64 (-.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) a) #s(literal 1/2 binary64)) a)))
#s(approx (log (+ (exp a) (exp b))) (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (log (+ (exp a) (exp b))) (fma.f64 b (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64))) b) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#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 #s(literal 1 binary64) (exp.f64 a)) #s(literal -3 binary64)) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64)) #s(literal 3 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64))) #s(literal 1/2 binary64))) b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx b b)
#s(approx (+ (exp a) (exp b)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
#s(approx (+ (exp a) (exp b)) (+.f64 (+.f64 b (exp.f64 a)) #s(literal 1 binary64)))
#s(approx (+ (exp a) (exp b)) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (exp.f64 a)) #s(literal 1 binary64)))
#s(approx (+ (exp a) (exp b)) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b (exp.f64 a)) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/2 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 (+ (* (+ (* (+ (* 1/6 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 (- (exp b) -1) #s(literal 2 binary64))
#s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))
#s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
#s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (*.f64 (+.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) b) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b))
#s(approx (- (exp b) -1) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (neg.f64 (*.f64 (-.f64 (/.f64 (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b)))

eval29.0ms (0.4%)

Memory
-8.5MiB live, 48.9MiB allocated; 3ms collecting garbage
Compiler

Compiled 3 243 to 1 282 computations (60.5% saved)

prune18.0ms (0.2%)

Memory
-10.7MiB live, 35.2MiB allocated; 3ms collecting garbage
Pruning

25 alts after pruning (16 fresh and 9 done)

PrunedKeptTotal
New2256231
Fresh21012
Picked055
Done044
Total22725252
Accuracy
99.4%
Counts
252 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.6%
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
47.3%
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b)))
46.8%
(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)))))
46.3%
(log.f64 #s(approx (+ (exp 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(approx (- (exp b) -1) #s(literal 2 binary64)))))
46.0%
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 a) 1/2) (*.f64 #s(literal 1/6 binary64) a)) a #s(literal 1 binary64)) a #s(approx (- (exp b) -1) #s(literal 2 binary64)))))
47.6%
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 a) 1/2) #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(approx (- (exp b) -1) #s(literal 2 binary64)))))
48.3%
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (/.f64 (-.f64 (exp.f64 (*.f64 b #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 (exp.f64 (+.f64 b b)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) #s(literal -1 binary64))))))))
48.8%
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
48.5%
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))))
48.3%
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
49.2%
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
46.0%
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a))))
47.1%
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64))))
0.2%
(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)))))
1.6%
(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)))))
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))))
48.0%
#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))))))
3.5%
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(approx (log (- (exp a) -1)) #s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 binary64) a)))))
48.6%
#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)))))
48.0%
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b)) #s(approx (log (- (exp a) -1)) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))))
47.9%
#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)))))
54.2%
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
48.1%
#s(approx (log (+ (exp a) (exp b))) #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)))))
12.3%
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b))))
Compiler

Compiled 772 to 719 computations (6.9% saved)

series139.0ms (1.9%)

Memory
-7.4MiB live, 227.6MiB allocated; 23ms collecting garbage
Counts
30 → 91
Calls
Call 1
Inputs
#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)))))
(+.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))))
(/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64)))
a
(-.f64 (exp.f64 b) #s(literal -1 binary64))
(exp.f64 b)
b
#s(literal -1 binary64)
(log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b))))
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b)))
#s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b))
(*.f64 #s(literal 1/2 binary64) b)
#s(literal 1/2 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)))))
#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))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))
(*.f64 (*.f64 a a) #s(literal 1/2 binary64))
(*.f64 a a)
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
#s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 b) #s(literal -1 binary64)))
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))))
#s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
#s(literal 2 binary64)
Outputs
#s(approx (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 (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) #s(hole binary64 (log (+ 1 (exp b)))))
#s(approx (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) #s(hole binary64 (+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))))
#s(approx (/ a (- (exp b) -1)) #s(hole binary64 (/ a (+ 1 (exp b)))))
#s(approx a #s(hole binary64 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 (/ b (+ 1 (exp a))) #s(hole binary64 (* 1/2 b)))
#s(approx (/ b (+ 1 (exp a))) #s(hole binary64 (+ (* -1/4 (* a b)) (* 1/2 b))))
#s(approx (/ b (+ 1 (exp a))) #s(hole binary64 (+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))))
#s(approx (/ b (+ 1 (exp a))) #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) (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) #s(hole binary64 (* 1/2 (pow a 2))))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#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 (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ (exp a) (exp b)))))
#s(approx (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) #s(hole binary64 (/ a (+ 1 (exp b)))))
#s(approx (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) #s(hole binary64 (* a (+ (/ 1 (+ 1 (exp b))) (/ (log (+ 1 (exp b))) a)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (/ b (+ 1 (exp a))) #s(hole binary64 (/ b (+ 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 (+ (* 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 (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) #s(hole binary64 (* -1 (* a (- (* -1 (/ (log (+ 1 (exp b))) a)) (/ 1 (+ 1 (exp 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 (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 (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) #s(hole binary64 (+ (log 2) (* 1/2 a))))
#s(approx (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) #s(hole binary64 (+ (log 2) (+ (* 1/2 a) (* b (- 1/2 (* 1/4 a)))))))
#s(approx (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) #s(hole binary64 (+ (log 2) (+ (* 1/2 a) (* b (- (+ 1/2 (* b (- 1/8 (+ (* -1/8 a) (* 1/8 a))))) (* 1/4 a)))))))
#s(approx (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) #s(hole binary64 (+ (log 2) (+ (* 1/2 a) (* b (- (+ 1/2 (* b (- (+ 1/8 (* -1 (* b (+ (* -1/2 (+ (* -1/8 a) (* 1/8 a))) (+ (* -1/16 a) (* 1/24 a)))))) (+ (* -1/8 a) (* 1/8 a))))) (* 1/4 a)))))))
#s(approx (/ a (- (exp b) -1)) #s(hole binary64 (* 1/2 a)))
#s(approx (/ a (- (exp b) -1)) #s(hole binary64 (+ (* -1/4 (* a b)) (* 1/2 a))))
#s(approx (/ a (- (exp b) -1)) #s(hole binary64 (+ (* 1/2 a) (* b (- (* -1 (* b (+ (* -1/8 a) (* 1/8 a)))) (* 1/4 a))))))
#s(approx (/ a (- (exp b) -1)) #s(hole binary64 (+ (* 1/2 a) (* b (- (* b (- (* -1 (* b (+ (* -1/2 (+ (* -1/8 a) (* 1/8 a))) (+ (* -1/16 a) (* 1/24 a))))) (+ (* -1/8 a) (* 1/8 a)))) (* 1/4 a))))))
#s(approx (- (exp b) -1) #s(hole binary64 2))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 b)))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (exp b) #s(hole binary64 1))
#s(approx (exp b) #s(hole binary64 (+ 1 b)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx b #s(hole binary64 b))
#s(approx (log (- (exp b) -1)) #s(hole binary64 (log 2)))
#s(approx (log (- (exp b) -1)) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (log (- (exp b) -1)) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* 1/8 b))))))
#s(approx (log (- (exp b) -1)) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (* 1/2 b) #s(hole binary64 (* 1/2 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 b) 1) b) 2) #s(hole binary64 2))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (+ 2 b)))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (+ 1 (* 1/2 b))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 1 (exp b))))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (log (- (exp b) -1)) #s(hole binary64 (log (+ 1 (exp 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 b) 1) b) 2) #s(hole binary64 (* 1/2 (pow b 2))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (* (pow b 2) (+ 1/2 (/ 1 b)))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (* 1/2 b)))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (* b (+ 1/2 (/ 1 b)))))
#s(approx (+ (/ b (- (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
65.0ms
b
@-inf
((log (+ (exp a) (exp b))) (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) (/ a (- (exp b) -1)) a (- (exp b) -1) (exp b) b -1 (log (- (exp b) -1)) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (/ b (+ 1 (exp a))) (* 1/2 b) 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) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) (+ (* 1/2 a) 1) 1 (- (exp b) -1) (+ (* (+ (* 1/2 b) 1) b) 2) (+ (* 1/2 b) 1) 2)
27.0ms
b
@inf
((log (+ (exp a) (exp b))) (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) (/ a (- (exp b) -1)) a (- (exp b) -1) (exp b) b -1 (log (- (exp b) -1)) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (/ b (+ 1 (exp a))) (* 1/2 b) 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) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) (+ (* 1/2 a) 1) 1 (- (exp b) -1) (+ (* (+ (* 1/2 b) 1) b) 2) (+ (* 1/2 b) 1) 2)
19.0ms
a
@inf
((log (+ (exp a) (exp b))) (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) (/ a (- (exp b) -1)) a (- (exp b) -1) (exp b) b -1 (log (- (exp b) -1)) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (/ b (+ 1 (exp a))) (* 1/2 b) 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) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) (+ (* 1/2 a) 1) 1 (- (exp b) -1) (+ (* (+ (* 1/2 b) 1) b) 2) (+ (* 1/2 b) 1) 2)
18.0ms
a
@-inf
((log (+ (exp a) (exp b))) (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) (/ a (- (exp b) -1)) a (- (exp b) -1) (exp b) b -1 (log (- (exp b) -1)) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (/ b (+ 1 (exp a))) (* 1/2 b) 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) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) (+ (* 1/2 a) 1) 1 (- (exp b) -1) (+ (* (+ (* 1/2 b) 1) b) 2) (+ (* 1/2 b) 1) 2)
5.0ms
a
@0
((log (+ (exp a) (exp b))) (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) (/ a (- (exp b) -1)) a (- (exp b) -1) (exp b) b -1 (log (- (exp b) -1)) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (/ b (+ 1 (exp a))) (* 1/2 b) 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) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) (+ (* 1/2 a) 1) 1 (- (exp b) -1) (+ (* (+ (* 1/2 b) 1) b) 2) (+ (* 1/2 b) 1) 2)

rewrite220.0ms (3%)

Memory
31.8MiB live, 261.7MiB allocated; 34ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03852145
04092028
124132024
0111331910
Stop Event
iter-limit
node-limit
iter-limit
Counts
121 → 228
Calls
Call 1
Inputs
#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)))))
(+.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))))
(/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64)))
a
(-.f64 (exp.f64 b) #s(literal -1 binary64))
(exp.f64 b)
b
#s(literal -1 binary64)
(log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b))))
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b)))
#s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b))
(*.f64 #s(literal 1/2 binary64) b)
#s(literal 1/2 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)))))
#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))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))
(*.f64 (*.f64 a a) #s(literal 1/2 binary64))
(*.f64 a a)
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
#s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 b) #s(literal -1 binary64)))
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))))
#s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
#s(literal 2 binary64)
#s(approx (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 (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) #s(hole binary64 (log (+ 1 (exp b)))))
#s(approx (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) #s(hole binary64 (+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))))
#s(approx (/ a (- (exp b) -1)) #s(hole binary64 (/ a (+ 1 (exp b)))))
#s(approx a #s(hole binary64 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 (/ b (+ 1 (exp a))) #s(hole binary64 (* 1/2 b)))
#s(approx (/ b (+ 1 (exp a))) #s(hole binary64 (+ (* -1/4 (* a b)) (* 1/2 b))))
#s(approx (/ b (+ 1 (exp a))) #s(hole binary64 (+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))))
#s(approx (/ b (+ 1 (exp a))) #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) (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) #s(hole binary64 (* 1/2 (pow a 2))))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#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 (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ (exp a) (exp b)))))
#s(approx (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) #s(hole binary64 (/ a (+ 1 (exp b)))))
#s(approx (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) #s(hole binary64 (* a (+ (/ 1 (+ 1 (exp b))) (/ (log (+ 1 (exp b))) a)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (/ b (+ 1 (exp a))) #s(hole binary64 (/ b (+ 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 (+ (* 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 (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) #s(hole binary64 (* -1 (* a (- (* -1 (/ (log (+ 1 (exp b))) a)) (/ 1 (+ 1 (exp 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 (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 (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) #s(hole binary64 (+ (log 2) (* 1/2 a))))
#s(approx (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) #s(hole binary64 (+ (log 2) (+ (* 1/2 a) (* b (- 1/2 (* 1/4 a)))))))
#s(approx (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) #s(hole binary64 (+ (log 2) (+ (* 1/2 a) (* b (- (+ 1/2 (* b (- 1/8 (+ (* -1/8 a) (* 1/8 a))))) (* 1/4 a)))))))
#s(approx (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) #s(hole binary64 (+ (log 2) (+ (* 1/2 a) (* b (- (+ 1/2 (* b (- (+ 1/8 (* -1 (* b (+ (* -1/2 (+ (* -1/8 a) (* 1/8 a))) (+ (* -1/16 a) (* 1/24 a)))))) (+ (* -1/8 a) (* 1/8 a))))) (* 1/4 a)))))))
#s(approx (/ a (- (exp b) -1)) #s(hole binary64 (* 1/2 a)))
#s(approx (/ a (- (exp b) -1)) #s(hole binary64 (+ (* -1/4 (* a b)) (* 1/2 a))))
#s(approx (/ a (- (exp b) -1)) #s(hole binary64 (+ (* 1/2 a) (* b (- (* -1 (* b (+ (* -1/8 a) (* 1/8 a)))) (* 1/4 a))))))
#s(approx (/ a (- (exp b) -1)) #s(hole binary64 (+ (* 1/2 a) (* b (- (* b (- (* -1 (* b (+ (* -1/2 (+ (* -1/8 a) (* 1/8 a))) (+ (* -1/16 a) (* 1/24 a))))) (+ (* -1/8 a) (* 1/8 a)))) (* 1/4 a))))))
#s(approx (- (exp b) -1) #s(hole binary64 2))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 b)))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (exp b) #s(hole binary64 1))
#s(approx (exp b) #s(hole binary64 (+ 1 b)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx b #s(hole binary64 b))
#s(approx (log (- (exp b) -1)) #s(hole binary64 (log 2)))
#s(approx (log (- (exp b) -1)) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (log (- (exp b) -1)) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* 1/8 b))))))
#s(approx (log (- (exp b) -1)) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (* 1/2 b) #s(hole binary64 (* 1/2 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 b) 1) b) 2) #s(hole binary64 2))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (+ 2 b)))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (+ 1 (* 1/2 b))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 1 (exp b))))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (log (- (exp b) -1)) #s(hole binary64 (log (+ 1 (exp 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 b) 1) b) 2) #s(hole binary64 (* 1/2 (pow b 2))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (* (pow b 2) (+ 1/2 (/ 1 b)))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (* 1/2 b)))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (* b (+ 1/2 (/ 1 b)))))
#s(approx (+ (/ b (- (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 b) #s(literal -1 binary64))) (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal 2 binary64))) (-.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)))))))
(-.f64 (/.f64 (pow.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))))) (/.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))))))
(+.f64 (/.f64 (pow.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))))))) (/.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))))))))
(+.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))))
(+.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
(/.f64 (neg.f64 a) (neg.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))))
(/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64)))
a
(/.f64 (neg.f64 (expm1.f64 (+.f64 b b))) (neg.f64 (+.f64 (exp.f64 b) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 b #s(literal 3 binary64))) #s(literal -1 binary64))) (neg.f64 (+.f64 (exp.f64 (+.f64 b b)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) #s(literal -1 binary64))))))
(/.f64 (expm1.f64 (+.f64 b b)) (+.f64 (exp.f64 b) #s(literal -1 binary64)))
(/.f64 (-.f64 (exp.f64 (*.f64 b #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 (exp.f64 (+.f64 b b)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) #s(literal -1 binary64)))))
(-.f64 (/.f64 (exp.f64 (+.f64 b b)) (+.f64 (exp.f64 b) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal -1 binary64))))
(-.f64 (/.f64 (exp.f64 (*.f64 b #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 b b)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (+.f64 b b)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) #s(literal -1 binary64))))))
(-.f64 (exp.f64 b) #s(literal -1 binary64))
(/.f64 (+.f64 (pow.f64 (cosh.f64 b) #s(literal 3 binary64)) (pow.f64 (sinh.f64 b) #s(literal 3 binary64))) (fma.f64 (cosh.f64 b) (cosh.f64 b) (-.f64 (*.f64 (sinh.f64 b) (sinh.f64 b)) (*.f64 (cosh.f64 b) (sinh.f64 b)))))
(+.f64 (cosh.f64 b) (sinh.f64 b))
(exp.f64 b)
b
#s(literal -1 binary64)
(-.f64 (log.f64 (expm1.f64 (+.f64 b b))) (log.f64 (+.f64 (exp.f64 b) #s(literal -1 binary64))))
(-.f64 (log.f64 (-.f64 (exp.f64 (*.f64 b #s(literal 3 binary64))) #s(literal -1 binary64))) (log.f64 (+.f64 (exp.f64 (+.f64 b b)) (+.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))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b))))
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b)))
#s(approx (/ b (+ 1 (exp a))) (*.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)
(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)))))
#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))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))
(*.f64 (*.f64 a a) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 a a))
(*.f64 a (*.f64 #s(literal 1/2 binary64) a))
(*.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 a)))
(*.f64 (neg.f64 (fabs.f64 a)) (neg.f64 (fabs.f64 a)))
(*.f64 (fabs.f64 (fabs.f64 a)) (fabs.f64 (fabs.f64 a)))
(*.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)))
(*.f64 (neg.f64 a) (neg.f64 a))
(*.f64 (fabs.f64 a) (fabs.f64 a))
(*.f64 a a)
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 2 binary64))
(pow.f64 (neg.f64 a) #s(literal 2 binary64))
(pow.f64 (fabs.f64 a) #s(literal 2 binary64))
(pow.f64 (*.f64 a a) #s(literal 1 binary64))
(pow.f64 a #s(literal 2 binary64))
(fabs.f64 (*.f64 a a))
(+.f64 (cosh.f64 (*.f64 (log.f64 a) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 a) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)))
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
#s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 b) #s(literal -1 binary64)))
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))))
#s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a) #s(literal 3 binary64))) (fma.f64 #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))) (-.f64 (*.f64 (*.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(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #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)) (*.f64 #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))) (neg.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))))
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(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/8 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) b) (*.f64 #s(literal 1/2 binary64) b)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))
(fma.f64 #s(literal 1/2 binary64) b (*.f64 b (/.f64 #s(literal 1 binary64) b)))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
(fma.f64 b #s(literal 1/2 binary64) (*.f64 b (/.f64 #s(literal 1 binary64) b)))
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) b) (*.f64 #s(literal 1/2 binary64) b)) (-.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) b) (*.f64 #s(literal 1/2 binary64) b)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) b))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/8 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) b) (*.f64 #s(literal 1/2 binary64) b) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) b) (*.f64 #s(literal 1/2 binary64) b) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) b) (*.f64 #s(literal 1/2 binary64) b)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))) (/.f64 (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/8 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) b) (*.f64 #s(literal 1/2 binary64) b)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) b) (*.f64 b (/.f64 #s(literal 1 binary64) b)))
(+.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))
#s(literal 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 (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b))))
#s(approx (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) (+.f64 (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))) (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
#s(approx (/ a (- (exp b) -1)) (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))))
#s(approx a a)
#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 (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b))
#s(approx (/ b (+ 1 (exp a))) (fma.f64 (*.f64 b a) #s(literal -1/4 binary64) (*.f64 #s(literal 1/2 binary64) b)))
#s(approx (/ b (+ 1 (exp a))) (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 (+ 1 (exp a))) (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) (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) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))
#s(approx (* a a) (*.f64 a a))
#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 (log (+ (exp a) (exp b))) (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
#s(approx (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))))
#s(approx (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) (*.f64 (+.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b))) a) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) a))
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (/ b (+ 1 (exp a))) (/.f64 b (+.f64 #s(literal 1 binary64) (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 (*.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) (*.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 (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) (neg.f64 (*.f64 (-.f64 (/.f64 (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))) a) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 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 (log (+ (exp a) (exp b))) (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (log (+ (exp a) (exp b))) (fma.f64 b (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64))) b) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#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 #s(literal 1 binary64) (exp.f64 a)) #s(literal -3 binary64)) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64)) #s(literal 3 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64))) #s(literal 1/2 binary64))) b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))
#s(approx (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) (+.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a)) b (*.f64 #s(literal 1/2 binary64) a)) (log.f64 #s(literal 2 binary64))))
#s(approx (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) (+.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 a #s(literal 0 binary64))) b #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) a)) b (*.f64 #s(literal 1/2 binary64) a)) (log.f64 #s(literal 2 binary64))))
#s(approx (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) (+.f64 (fma.f64 (-.f64 (fma.f64 (+.f64 #s(literal 1/8 binary64) (-.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 a #s(literal 0 binary64)) #s(literal -1/2 binary64) (*.f64 a #s(literal -1/48 binary64))) b)) (*.f64 a #s(literal 0 binary64)))) b #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) a)) b (*.f64 #s(literal 1/2 binary64) a)) (log.f64 #s(literal 2 binary64))))
#s(approx (/ a (- (exp b) -1)) (*.f64 #s(literal 1/2 binary64) a))
#s(approx (/ a (- (exp b) -1)) (fma.f64 (*.f64 b a) #s(literal -1/4 binary64) (*.f64 #s(literal 1/2 binary64) a)))
#s(approx (/ a (- (exp b) -1)) (fma.f64 (-.f64 (neg.f64 (*.f64 (*.f64 a #s(literal 0 binary64)) b)) (*.f64 #s(literal 1/4 binary64) a)) b (*.f64 #s(literal 1/2 binary64) a)))
#s(approx (/ a (- (exp b) -1)) (fma.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 a #s(literal 0 binary64)) #s(literal -1/2 binary64) (*.f64 a #s(literal -1/48 binary64))) b)) (*.f64 a #s(literal 0 binary64))) b (*.f64 #s(literal -1/4 binary64) a)) b (*.f64 #s(literal 1/2 binary64) a)))
#s(approx (- (exp b) -1) #s(literal 2 binary64))
#s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))
#s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
#s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
#s(approx (exp b) #s(literal 1 binary64))
#s(approx (exp b) (+.f64 #s(literal 1 binary64) b))
#s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
#s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
#s(approx b b)
#s(approx (log (- (exp b) -1)) (log.f64 #s(literal 2 binary64)))
#s(approx (log (- (exp b) -1)) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))
#s(approx (log (- (exp b) -1)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))
#s(approx (log (- (exp b) -1)) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (* 1/2 b) (*.f64 #s(literal 1/2 binary64) b))
#s(approx (+ (exp a) (exp b)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
#s(approx (+ (exp a) (exp b)) (+.f64 (+.f64 b (exp.f64 a)) #s(literal 1 binary64)))
#s(approx (+ (exp a) (exp b)) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (exp.f64 a)) #s(literal 1 binary64)))
#s(approx (+ (exp a) (exp b)) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b (exp.f64 a)) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/2 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 b) 1) b) 2) #s(literal 2 binary64))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (+.f64 #s(literal 2 binary64) b))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
#s(approx (+ (* 1/2 b) 1) #s(literal 1 binary64))
#s(approx (+ (* 1/2 b) 1) (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)))
#s(approx (- (exp b) -1) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
#s(approx (exp b) (exp.f64 b))
#s(approx (log (- (exp b) -1)) (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b))))
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (*.f64 (+.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) b) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (fma.f64 (*.f64 b b) #s(literal 1/2 binary64) b))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 b b))) (*.f64 b b)))
#s(approx (+ (* 1/2 b) 1) (*.f64 #s(literal 1/2 binary64) b))
#s(approx (+ (* 1/2 b) 1) (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)))
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (neg.f64 (*.f64 (-.f64 (/.f64 (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b)))

eval46.0ms (0.6%)

Memory
-7.9MiB live, 50.3MiB allocated; 6ms collecting garbage
Compiler

Compiled 2 945 to 1 221 computations (58.5% saved)

prune30.0ms (0.4%)

Memory
-15.3MiB live, 31.6MiB allocated; 2ms collecting garbage
Pruning

18 alts after pruning (13 fresh and 5 done)

PrunedKeptTotal
New2048212
Fresh6511
Picked325
Done639
Total21918237
Accuracy
99.4%
Counts
237 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.6%
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 a) 1/2) #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(approx (- (exp b) -1) #s(literal 2 binary64)))))
46.8%
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 #s(approx (+ (* 1/2 a) 1) #s(literal 1 binary64)) a #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))))
48.3%
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
49.2%
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
47.9%
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) #s(literal -1 binary64))))
47.7%
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
46.0%
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a))))
47.1%
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #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 a (*.f64 #s(literal 1/2 binary64) 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))))
47.9%
#s(approx (log (+ (exp a) (exp b))) (/.f64 (+.f64 (pow.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))))))))
47.9%
#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)))))
54.2%
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
48.1%
#s(approx (log (+ (exp a) (exp b))) #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)))))
12.3%
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b))))
47.3%
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
2.6%
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
48.3%
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) (+.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 a #s(literal 0 binary64))) b #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) a)) b (*.f64 #s(literal 1/2 binary64) a)) (log.f64 #s(literal 2 binary64)))))
Compiler

Compiled 792 to 562 computations (29% saved)

regimes74.0ms (1%)

Memory
-3.3MiB live, 89.5MiB allocated; 5ms collecting garbage
Counts
42 → 1
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b))))
(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))))
(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 (- (exp a) -1) (+.f64 #s(literal 2 binary64) a))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) (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 #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) (*.f64 a (*.f64 #s(literal 1/2 binary64) a)))))
(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)) #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)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(approx (- (exp b) -1) #s(literal 2 binary64)))))
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 a) 1/2) #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(approx (- (exp b) -1) #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b)) #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 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) 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)) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 a) 1/2) (*.f64 #s(literal 1/6 binary64) a)) a #s(literal 1 binary64)) a #s(approx (- (exp b) -1) #s(literal 2 binary64)))))
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 #s(approx (+ (* 1/2 a) 1) #s(literal 1 binary64)) a #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))))
(log.f64 #s(approx (+ (exp 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(approx (- (exp b) -1) #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))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(approx (log (- (exp a) -1)) #s(approx (+ (* 1/2 a) (log 2)) (*.f64 #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)))))
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))))
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
#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))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) (+.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 a #s(literal 0 binary64))) b #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) a)) b (*.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))) (+.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)))))
(log.f64 #s(approx (+ (exp 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 (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
(log.f64 #s(approx (+ (exp a) (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 (-.f64 (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)))))
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (/.f64 (-.f64 (exp.f64 (*.f64 b #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 (exp.f64 (+.f64 b b)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) #s(literal -1 binary64))))))))
(log.f64 (/.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))))))
#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))) (/.f64 (+.f64 (pow.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.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))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
Calls

6 calls:

19.0ms
a
17.0ms
(exp.f64 a)
11.0ms
b
8.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
8.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Results
AccuracySegmentsBranch
98.6%1(exp.f64 b)
98.6%1(exp.f64 a)
98.6%1(+.f64 (exp.f64 a) (exp.f64 b))
98.6%1(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
98.6%1a
98.6%1b
Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes68.0ms (0.9%)

Memory
-16.4MiB live, 80.2MiB allocated; 7ms collecting garbage
Counts
37 → 2
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b))))
(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))))
(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 (- (exp a) -1) (+.f64 #s(literal 2 binary64) a))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) (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 #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) (*.f64 a (*.f64 #s(literal 1/2 binary64) a)))))
(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)) #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)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(approx (- (exp b) -1) #s(literal 2 binary64)))))
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 a) 1/2) #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(approx (- (exp b) -1) #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b)) #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 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) 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)) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 a) 1/2) (*.f64 #s(literal 1/6 binary64) a)) a #s(literal 1 binary64)) a #s(approx (- (exp b) -1) #s(literal 2 binary64)))))
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 #s(approx (+ (* 1/2 a) 1) #s(literal 1 binary64)) a #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))))
(log.f64 #s(approx (+ (exp 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(approx (- (exp b) -1) #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))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(approx (log (- (exp a) -1)) #s(approx (+ (* 1/2 a) (log 2)) (*.f64 #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)))))
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))))
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
#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))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) (+.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 a #s(literal 0 binary64))) b #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) a)) b (*.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))) (+.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)))))
(log.f64 #s(approx (+ (exp 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 (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
(log.f64 #s(approx (+ (exp a) (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 (-.f64 (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 #s(literal 1 binary64) (exp.f64 a)))))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Calls

6 calls:

21.0ms
a
10.0ms
b
7.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
7.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
7.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
54.2%1(exp.f64 b)
99.2%2(exp.f64 a)
99.3%3(+.f64 (exp.f64 a) (exp.f64 b))
99.3%3(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
99.2%2a
70.7%3b
Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes15.0ms (0.2%)

Memory
20.6MiB live, 20.6MiB allocated; 0ms collecting garbage
Counts
30 → 2
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b))))
(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))))
(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 (- (exp a) -1) (+.f64 #s(literal 2 binary64) a))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) (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 #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) (*.f64 a (*.f64 #s(literal 1/2 binary64) a)))))
(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)) #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)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(approx (- (exp b) -1) #s(literal 2 binary64)))))
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 a) 1/2) #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(approx (- (exp b) -1) #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b)) #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 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) 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)) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 a) 1/2) (*.f64 #s(literal 1/6 binary64) a)) a #s(literal 1 binary64)) a #s(approx (- (exp b) -1) #s(literal 2 binary64)))))
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 #s(approx (+ (* 1/2 a) 1) #s(literal 1 binary64)) a #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))))
(log.f64 #s(approx (+ (exp 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(approx (- (exp b) -1) #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))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(approx (log (- (exp a) -1)) #s(approx (+ (* 1/2 a) (log 2)) (*.f64 #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)))))
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))))
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) 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 #s(literal 1 binary64) (exp.f64 a)))))
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
Calls

2 calls:

8.0ms
a
6.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
99.0%2(exp.f64 a)
99.0%2a
Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes14.0ms (0.2%)

Memory
23.0MiB live, 23.0MiB allocated; 0ms collecting garbage
Counts
28 → 2
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b))))
(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))))
(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 (- (exp a) -1) (+.f64 #s(literal 2 binary64) a))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) (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 #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) (*.f64 a (*.f64 #s(literal 1/2 binary64) a)))))
(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)) #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)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(approx (- (exp b) -1) #s(literal 2 binary64)))))
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 a) 1/2) #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(approx (- (exp b) -1) #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b)) #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 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) 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)) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 a) 1/2) (*.f64 #s(literal 1/6 binary64) a)) a #s(literal 1 binary64)) a #s(approx (- (exp b) -1) #s(literal 2 binary64)))))
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 #s(approx (+ (* 1/2 a) 1) #s(literal 1 binary64)) a #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))))
(log.f64 #s(approx (+ (exp 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(approx (- (exp b) -1) #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))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(approx (log (- (exp a) -1)) #s(approx (+ (* 1/2 a) (log 2)) (*.f64 #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)))))
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))))
Outputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b)))
Calls

2 calls:

7.0ms
a
5.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
98.8%2(exp.f64 a)
98.8%2a
Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes18.0ms (0.2%)

Memory
-24.9MiB live, 21.0MiB allocated; 2ms collecting garbage
Counts
23 → 2
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b))))
(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))))
(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 (- (exp a) -1) (+.f64 #s(literal 2 binary64) a))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) (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 #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) (*.f64 a (*.f64 #s(literal 1/2 binary64) a)))))
(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)) #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)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(approx (- (exp b) -1) #s(literal 2 binary64)))))
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 a) 1/2) #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(approx (- (exp b) -1) #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b)) #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 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) 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)) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 a) 1/2) (*.f64 #s(literal 1/6 binary64) a)) a #s(literal 1 binary64)) a #s(approx (- (exp b) -1) #s(literal 2 binary64)))))
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 #s(approx (+ (* 1/2 a) 1) #s(literal 1 binary64)) a #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))))
(log.f64 #s(approx (+ (exp 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(approx (- (exp b) -1) #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 #s(literal 1 binary64) (exp.f64 a)))))
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 #s(approx (+ (* 1/2 a) 1) #s(literal 1 binary64)) a #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))))
Calls

2 calls:

12.0ms
a
5.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
98.4%2(exp.f64 a)
98.4%2a
Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes11.0ms (0.1%)

Memory
18.8MiB live, 18.8MiB allocated; 0ms collecting garbage
Counts
20 → 2
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b))))
(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))))
(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 (- (exp a) -1) (+.f64 #s(literal 2 binary64) a))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) (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 #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) (*.f64 a (*.f64 #s(literal 1/2 binary64) a)))))
(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)) #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)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(approx (- (exp b) -1) #s(literal 2 binary64)))))
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 a) 1/2) #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(approx (- (exp b) -1) #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b)) #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 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) 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)) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 a) 1/2) (*.f64 #s(literal 1/6 binary64) a)) a #s(literal 1 binary64)) a #s(approx (- (exp b) -1) #s(literal 2 binary64)))))
Outputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b)) #s(approx (log (- (exp a) -1)) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))))
Calls

2 calls:

6.0ms
a
4.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
98.3%2(exp.f64 a)
98.3%2a
Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes21.0ms (0.3%)

Memory
-31.7MiB live, 15.2MiB allocated; 2ms collecting garbage
Counts
15 → 2
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b))))
(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))))
(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 (- (exp a) -1) (+.f64 #s(literal 2 binary64) a))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) (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 #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) (*.f64 a (*.f64 #s(literal 1/2 binary64) a)))))
(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)) #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)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(approx (- (exp b) -1) #s(literal 2 binary64)))))
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 a) 1/2) #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(approx (- (exp b) -1) #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
Outputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(approx (- (exp b) -1) #s(literal 2 binary64)))))
Calls

2 calls:

15.0ms
(exp.f64 a)
4.0ms
a
Results
AccuracySegmentsBranch
97.7%2(exp.f64 a)
97.7%2a
Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes19.0ms (0.3%)

Memory
32.8MiB live, 32.8MiB allocated; 0ms collecting garbage
Counts
14 → 2
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b))))
(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))))
(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 (- (exp a) -1) (+.f64 #s(literal 2 binary64) a))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) (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 #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) (*.f64 a (*.f64 #s(literal 1/2 binary64) a)))))
(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)) #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)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(approx (- (exp b) -1) #s(literal 2 binary64)))))
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 a) 1/2) #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(approx (- (exp b) -1) #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
Outputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b))))
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(approx (- (exp b) -1) #s(literal 2 binary64)))))
Calls

5 calls:

4.0ms
b
4.0ms
a
3.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
3.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
3.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
47.9%1b
55.7%2(+.f64 (exp.f64 a) (exp.f64 b))
55.7%2(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
55.8%2(exp.f64 a)
55.8%2a
Compiler

Compiled 15 to 18 computations (-20% saved)

regimes22.0ms (0.3%)

Memory
-36.4MiB live, 13.5MiB allocated; 3ms collecting garbage
Counts
11 → 2
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b))))
(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))))
(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 (- (exp a) -1) (+.f64 #s(literal 2 binary64) a))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) (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 #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* 1/2 a) 1) a) (- (exp b) -1)) (*.f64 a (*.f64 #s(literal 1/2 binary64) a)))))
(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)) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (- (exp b) -1)) (*.f64 (*.f64 (*.f64 a a) a) #s(literal 1/6 binary64)))))
Outputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ a (- (exp b) -1)) (log (- (exp b) -1))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
Calls

3 calls:

15.0ms
(exp.f64 b)
3.0ms
a
2.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
47.9%1(exp.f64 b)
55.7%2(exp.f64 a)
55.7%2a
Compiler

Compiled 5 to 8 computations (-60% saved)

regimes7.0ms (0.1%)

Memory
12.8MiB live, 12.8MiB allocated; 0ms collecting garbage
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b))))
(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))))
(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 (- (exp a) -1) (+.f64 #s(literal 2 binary64) a))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
Outputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a))))
Calls

4 calls:

2.0ms
a
2.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
2.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
1.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
55.3%2(+.f64 (exp.f64 a) (exp.f64 b))
55.3%2(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
55.7%2(exp.f64 a)
55.7%2a
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes5.0ms (0.1%)

Memory
10.9MiB live, 11.0MiB allocated; 0ms collecting garbage
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b))))
(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))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64))))
Outputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64))))
Calls

4 calls:

2.0ms
a
1.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
1.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
54.6%2(+.f64 (exp.f64 a) (exp.f64 b))
54.6%2(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
54.7%2(exp.f64 a)
54.7%2a
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes7.0ms (0.1%)

Memory
14.7MiB live, 14.6MiB allocated; 0ms collecting garbage
Accuracy

Total -7.8b remaining (-13.8%)

Threshold costs -7.8b (-13.8%)

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

6 calls:

1.0ms
a
1.0ms
b
1.0ms
(exp.f64 b)
1.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
Results
AccuracySegmentsBranch
12.3%1(exp.f64 b)
12.3%1b
12.3%1(+.f64 (exp.f64 a) (exp.f64 b))
12.3%1(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
12.3%1(exp.f64 a)
12.3%1a
Compiler

Compiled 17 to 21 computations (-23.5% saved)

bsearch42.0ms (0.6%)

Memory
-10.6MiB live, 36.2MiB allocated; 2ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
40.0ms
-4923439273804.394
-0.00046953212109067475
Samples
16.0ms128×1valid
12.0ms20×0valid
5.0ms12×2valid
Compiler

Compiled 269 to 261 computations (3% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-exp: 7.0ms (39.4% of total)
ival-log: 7.0ms (39.4% of total)
adjust: 2.0ms (11.2% of total)
ival-add!: 1.0ms (5.6% of total)

bsearch9.0ms (0.1%)

Memory
12.6MiB live, 12.6MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
8.0ms
-4923439273804.394
-0.00046953212109067475
Samples
5.0ms46×1valid
0.0ms0valid
Compiler

Compiled 349 to 341 computations (2.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-exp: 2.0ms (46.9% of total)
adjust: 1.0ms (23.4% of total)
ival-log: 1.0ms (23.4% of total)
ival-add!: 0.0ms (0% of total)

bsearch15.0ms (0.2%)

Memory
-30.1MiB live, 16.4MiB allocated; 4ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
14.0ms
-4923439273804.394
-0.00046953212109067475
Samples
7.0ms128×0valid
Compiler

Compiled 299 to 291 computations (2.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-exp: 2.0ms (51.7% of total)
ival-log: 1.0ms (25.9% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
2.4MiB live, 2.4MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
-4923439273804.394
-0.00046953212109067475
Compiler

Compiled 429 to 411 computations (4.2% saved)

bsearch6.0ms (0.1%)

Memory
6.1MiB live, 6.1MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
5.0ms
-4923439273804.394
-0.00046953212109067475
Samples
2.0ms48×0valid
Compiler

Compiled 429 to 391 computations (8.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-exp: 1.0ms (68% of total)
ival-log: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
-4923439273804.394
-0.00046953212109067475
Compiler

Compiled 369 to 351 computations (4.9% saved)

bsearch20.0ms (0.3%)

Memory
24.1MiB live, 24.1MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
18.0ms
-4923439273804.394
-0.00046953212109067475
Samples
13.0ms89×1valid
0.0ms0valid
Compiler

Compiled 399 to 371 computations (7% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-exp: 5.0ms (46.1% of total)
ival-log: 4.0ms (36.9% of total)
adjust: 1.0ms (9.2% of total)
ival-add!: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
2.2MiB live, 2.2MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
-4923439273804.394
-0.00046953212109067475
Compiler

Compiled 439 to 391 computations (10.9% saved)

bsearch5.0ms (0.1%)

Memory
-44.7MiB live, 2.0MiB allocated; 3ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
5.0ms
-4923439273804.394
-0.00046953212109067475
Compiler

Compiled 369 to 341 computations (7.6% saved)

bsearch1.0ms (0%)

Memory
2.1MiB live, 2.1MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
-4923439273804.394
-0.00046953212109067475
Compiler

Compiled 359 to 331 computations (7.8% saved)

derivations471.0ms (6.3%)

Memory
34.2MiB live, 366.5MiB allocated; 26ms collecting garbage
Stop Event
fuel
Compiler

Compiled 147 to 96 computations (34.7% saved)

preprocess108.0ms (1.4%)

Memory
-21.8MiB live, 166.5MiB allocated; 14ms collecting garbage
Compiler

Compiled 941 to 728 computations (22.6% saved)

end0.0ms (0%)

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

Profiling

Loading profile data...