symmetry log of sum of exp

Time bar (total: 7.5s)

start0.0ms (0%)

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

analyze140.0ms (1.9%)

Memory
16.8MiB live, 206.0MiB allocated; 25ms 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)

sample5.8s (77.5%)

Memory
-139.5MiB live, 3 427.9MiB allocated; 2.5s collecting garbage
Samples
2.1s7 768×5exit
1.8s2 234×1valid
775.0ms1 659×2valid
237.0ms4 363×0valid
Precisions
Click to see histograms. Total time spent on operations: 4.3s
ival-add!: 1.5s (35% of total)
ival-log: 1.1s (25.8% of total)
ival-exp: 990.0ms (23.2% of total)
adjust: 685.0ms (16% of total)
Bogosity

preprocess45.0ms (0.6%)

Memory
6.4MiB live, 6.4MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01842
14142
211742
349342
4528742
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.0%
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Symmetry

(sort a b)

Compiler

Compiled 12 to 12 computations (0% saved)

series68.0ms (0.9%)

Memory
24.7MiB live, 24.7MiB allocated; 0ms 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
24.0ms
a
@inf
((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) a (exp b) b)
18.0ms
a
@-inf
((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) a (exp b) b)
12.0ms
b
@inf
((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) a (exp b) b)
12.0ms
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)

rewrite134.0ms (1.8%)

Memory
2.8MiB live, 45.1MiB allocated; 10ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0133549
0137533
1869533
08453485
Stop Event
iter-limit
node-limit
iter-limit
Counts
36 → 69
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 (*.f64 a #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))))) (/.f64 (exp.f64 (*.f64 b #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))))))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 a) (exp.f64 b))
(*.f64 #s(literal 1 binary64) (exp.f64 a))
(/.f64 (*.f64 #s(literal 2 binary64) (exp.f64 a)) #s(literal 2 binary64))
(/.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)))
(exp.f64 (+.f64 #s(literal 0 binary64) a))
(exp.f64 a)
(+.f64 (*.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 (cosh.f64 a) (sinh.f64 a))
a
(*.f64 #s(literal 1 binary64) (exp.f64 b))
(/.f64 (*.f64 #s(literal 2 binary64) (exp.f64 b)) #s(literal 2 binary64))
(/.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)))
(exp.f64 (+.f64 #s(literal 0 binary64) b))
(exp.f64 b)
(+.f64 (*.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 (cosh.f64 b) (sinh.f64 b))
b
#s(approx (log (+ (exp a) (exp b))) (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (fma.f64 a (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))) (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) (-.f64 (fma.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -3 binary64)) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))) (*.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64)) #s(literal 3 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) #s(literal 1/2 binary64))) a (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))) a (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
#s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 b) #s(literal -1 binary64)))
#s(approx (+ (exp a) (exp b)) (-.f64 (+.f64 (exp.f64 b) a) #s(literal -1 binary64)))
#s(approx (+ (exp a) (exp b)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (exp.f64 b)) #s(literal -1 binary64)))
#s(approx (+ (exp a) (exp b)) (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a (exp.f64 b)) #s(literal -1 binary64)))
#s(approx (exp a) #s(literal 1 binary64))
#s(approx (exp a) (-.f64 a #s(literal -1 binary64)))
#s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
#s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
#s(approx a a)
#s(approx (log (+ (exp a) (exp b))) (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
#s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 b) (exp.f64 a)))
#s(approx (exp a) (exp.f64 a))
#s(approx (log (+ (exp a) (exp b))) (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (fma.f64 b (fma.f64 (*.f64 #s(literal 1/2 binary64) b) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64)))) (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) (-.f64 (fma.f64 (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal -3 binary64)) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64)))) (*.f64 (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal -2 binary64)) #s(literal 3 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal -2 binary64))) #s(literal 1/2 binary64))) b (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64)))) b (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
#s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64)))
#s(approx (+ (exp a) (exp b)) (-.f64 (+.f64 (exp.f64 a) b) #s(literal -1 binary64)))
#s(approx (+ (exp a) (exp b)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (exp.f64 a)) #s(literal -1 binary64)))
#s(approx (+ (exp a) (exp b)) (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b (exp.f64 a)) #s(literal -1 binary64)))
#s(approx (exp b) #s(literal 1 binary64))
#s(approx (exp b) (-.f64 b #s(literal -1 binary64)))
#s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
#s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
#s(approx b b)
#s(approx (exp b) (exp.f64 b))

eval6.0ms (0.1%)

Memory
5.3MiB live, 5.3MiB allocated; 0ms collecting garbage
Compiler

Compiled 623 to 297 computations (52.3% saved)

prune6.0ms (0.1%)

Memory
4.7MiB live, 4.7MiB allocated; 0ms collecting garbage
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New541064
Fresh000
Picked011
Done000
Total541165
Accuracy
99.7%
Counts
65 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.0%
(log.f64 (+.f64 (exp.f64 a) (+.f64 (cosh.f64 b) (sinh.f64 b))))
54.0%
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
52.8%
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))
49.2%
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b)))
53.4%
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b (exp.f64 a)) #s(literal -1 binary64))))
53.2%
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (exp.f64 a)) #s(literal -1 binary64))))
50.8%
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (exp.f64 b)) #s(literal -1 binary64))))
50.5%
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
51.6%
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
99.0%
#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)))))
50.4%
#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 246 to 238 computations (3.3% saved)

series80.0ms (1.1%)

Memory
-4.3MiB live, 41.1MiB allocated; 3ms collecting garbage
Counts
30 → 122
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
(+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))
b
(-.f64 (exp.f64 a) #s(literal -1 binary64))
(exp.f64 a)
a
#s(literal -1 binary64)
(log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)))
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
#s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64)))
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b)))
(+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b))
#s(approx (exp a) (-.f64 a #s(literal -1 binary64)))
(-.f64 a #s(literal -1 binary64))
(exp.f64 b)
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (exp.f64 b)) #s(literal -1 binary64))))
#s(approx (+ (exp a) (exp b)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (exp.f64 b)) #s(literal -1 binary64)))
(-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (exp.f64 b)) #s(literal -1 binary64))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (exp.f64 b))
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #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)))
(-.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))
(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))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
Outputs
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp b)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b)))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- (+ 1/8 (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))) (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))))
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (* 1/2 b)))
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (+ (* -1/4 (* a b)) (* 1/2 b))))
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))))
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (+ (* 1/2 b) (* a (- (* a (- (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))))) (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))))
#s(approx (- (exp a) -1) #s(hole binary64 2))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 a)))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 (* a (+ 1 (* 1/2 a))))))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (exp a) #s(hole binary64 1))
#s(approx (exp a) #s(hole binary64 (+ 1 a)))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx a #s(hole binary64 a))
#s(approx (log (- (exp a) -1)) #s(hole binary64 (log 2)))
#s(approx (log (- (exp a) -1)) #s(hole binary64 (+ (log 2) (* 1/2 a))))
#s(approx (log (- (exp a) -1)) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* 1/8 a))))))
#s(approx (log (- (exp a) -1)) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))
#s(approx (- a -1) #s(hole binary64 1))
#s(approx (- a -1) #s(hole binary64 (+ 1 a)))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (+ 1 (exp b))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) #s(hole binary64 (exp b)))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) #s(hole binary64 (+ a (exp b))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) #s(hole binary64 (+ (exp b) (* a (+ 1 (* 1/2 a))))))
#s(approx (+ (* 1/2 a) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 a) 1) #s(hole binary64 (+ 1 (* 1/2 a))))
#s(approx (- (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (- (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) -1) #s(hole binary64 (+ 2 (+ a (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (- (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) -1) #s(hole binary64 (+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (- (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) -1) #s(hole binary64 (+ 2 (+ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) #s(hole binary64 (+ 1 (+ a (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) #s(hole binary64 (+ 1 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) #s(hole binary64 (+ 1 (+ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ (exp a) (exp b)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 1 (exp a))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (log (- (exp a) -1)) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b))))
#s(approx (- a -1) #s(hole binary64 a))
#s(approx (- a -1) #s(hole binary64 (* a (+ 1 (/ 1 a)))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (* 1/2 (pow a 2))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (* (pow a 2) (+ 1/2 (/ 1 a)))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (* (pow a 2) (+ 1/2 (+ (/ 1 a) (+ (/ 1 (pow a 2)) (/ (exp b) (pow a 2))))))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) #s(hole binary64 (* 1/2 (pow a 2))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) #s(hole binary64 (* (pow a 2) (+ 1/2 (/ 1 a)))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) #s(hole binary64 (* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ (exp b) (pow a 2)))))))
#s(approx (+ (* 1/2 a) 1) #s(hole binary64 (* 1/2 a)))
#s(approx (+ (* 1/2 a) 1) #s(hole binary64 (* a (+ 1/2 (/ 1 a)))))
#s(approx (- (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) -1) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) #s(hole binary64 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (* (pow a 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp b)) a)) 1) a))))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) #s(hole binary64 (* (pow a 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (exp b) a)) 1) a))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx b #s(hole binary64 b))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (exp b) #s(hole binary64 1))
#s(approx (exp b) #s(hole binary64 (+ 1 b)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (+ 2 (* a (+ 1 (* 1/2 a))))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (+ 2 (+ b (* a (+ 1 (* 1/2 a)))))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* 1/2 b)))))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) #s(hole binary64 (+ 1 (+ b (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) #s(hole binary64 (+ 1 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) #s(hole binary64 (+ 1 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (- (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) -1) #s(hole binary64 (+ 1 (exp a))))
#s(approx (- (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) -1) #s(hole binary64 (+ 1 (+ b (exp a)))))
#s(approx (- (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) -1) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) #s(hole binary64 (exp a)))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) #s(hole binary64 (+ b (exp a))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) #s(hole binary64 (+ (exp a) (* b (+ 1 (* 1/2 b))))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (+ 1 (* 1/2 b))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (+ 1 (* b (+ 1/2 (* 1/6 b))))))
#s(approx (+ (* 1/6 b) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/6 b) 1/2) #s(hole binary64 (+ 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 (- (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) -1) #s(hole binary64 (* 1/6 (pow b 3))))
#s(approx (- (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) -1) #s(hole binary64 (* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))))
#s(approx (- (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) -1) #s(hole binary64 (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))))
#s(approx (- (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) -1) #s(hole binary64 (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (+ (/ 1 (pow b 3)) (/ (exp a) (pow b 3)))))))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) #s(hole binary64 (* 1/6 (pow b 3))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) #s(hole binary64 (* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) #s(hole binary64 (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) #s(hole binary64 (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (/ (exp a) (pow b 3))))))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (* 1/6 (pow b 2))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))))
#s(approx (+ (* 1/6 b) 1/2) #s(hole binary64 (* 1/6 b)))
#s(approx (+ (* 1/6 b) 1/2) #s(hole binary64 (* b (+ 1/6 (* 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))))))))
#s(approx (- (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) -1) #s(hole binary64 (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))))
#s(approx (- (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) -1) #s(hole binary64 (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp a)) b)) 1) b))) b)) 1/6)))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) #s(hole binary64 (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) #s(hole binary64 (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (exp a) b)) 1) b))) b)) 1/6)))))
Calls

6 calls:

TimeVariablePointExpression
22.0ms
a
@inf
((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (/ b (- (exp a) -1)) b (- (exp a) -1) (exp a) a -1 (log (- (exp a) -1)) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (- a -1) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (+ (* (+ (* 1/2 a) 1) a) (exp b)) (+ (* 1/2 a) 1) 1/2 1 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) -1) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) (+ (* (+ (* 1/6 b) 1/2) b) 1) (+ (* 1/6 b) 1/2) 1/6)
19.0ms
a
@-inf
((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (/ b (- (exp a) -1)) b (- (exp a) -1) (exp a) a -1 (log (- (exp a) -1)) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (- a -1) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (+ (* (+ (* 1/2 a) 1) a) (exp b)) (+ (* 1/2 a) 1) 1/2 1 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) -1) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) (+ (* (+ (* 1/6 b) 1/2) b) 1) (+ (* 1/6 b) 1/2) 1/6)
16.0ms
a
@0
((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (/ b (- (exp a) -1)) b (- (exp a) -1) (exp a) a -1 (log (- (exp a) -1)) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (- a -1) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (+ (* (+ (* 1/2 a) 1) a) (exp b)) (+ (* 1/2 a) 1) 1/2 1 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) -1) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) (+ (* (+ (* 1/6 b) 1/2) b) 1) (+ (* 1/6 b) 1/2) 1/6)
8.0ms
b
@inf
((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (/ b (- (exp a) -1)) b (- (exp a) -1) (exp a) a -1 (log (- (exp a) -1)) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (- a -1) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (+ (* (+ (* 1/2 a) 1) a) (exp b)) (+ (* 1/2 a) 1) 1/2 1 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) -1) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) (+ (* (+ (* 1/6 b) 1/2) b) 1) (+ (* 1/6 b) 1/2) 1/6)
8.0ms
b
@-inf
((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (/ b (- (exp a) -1)) b (- (exp a) -1) (exp a) a -1 (log (- (exp a) -1)) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (- a -1) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (+ (* (+ (* 1/2 a) 1) a) (exp b)) (+ (* 1/2 a) 1) 1/2 1 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) -1) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) (+ (* (+ (* 1/6 b) 1/2) b) 1) (+ (* 1/6 b) 1/2) 1/6)

rewrite140.0ms (1.9%)

Memory
2.1MiB live, 45.3MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04362739
04712578
126292572
082452470
Stop Event
iter-limit
node-limit
iter-limit
Counts
152 → 269
Calls
Call 1
Inputs
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
(+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))
b
(-.f64 (exp.f64 a) #s(literal -1 binary64))
(exp.f64 a)
a
#s(literal -1 binary64)
(log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)))
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
#s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64)))
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b)))
(+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b))
#s(approx (exp a) (-.f64 a #s(literal -1 binary64)))
(-.f64 a #s(literal -1 binary64))
(exp.f64 b)
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (exp.f64 b)) #s(literal -1 binary64))))
#s(approx (+ (exp a) (exp b)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (exp.f64 b)) #s(literal -1 binary64)))
(-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (exp.f64 b)) #s(literal -1 binary64))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (exp.f64 b))
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #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)))
(-.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))
(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))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp b)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b)))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- (+ 1/8 (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))) (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))))
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (* 1/2 b)))
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (+ (* -1/4 (* a b)) (* 1/2 b))))
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))))
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (+ (* 1/2 b) (* a (- (* a (- (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))))) (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))))
#s(approx (- (exp a) -1) #s(hole binary64 2))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 a)))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 (* a (+ 1 (* 1/2 a))))))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (exp a) #s(hole binary64 1))
#s(approx (exp a) #s(hole binary64 (+ 1 a)))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx a #s(hole binary64 a))
#s(approx (log (- (exp a) -1)) #s(hole binary64 (log 2)))
#s(approx (log (- (exp a) -1)) #s(hole binary64 (+ (log 2) (* 1/2 a))))
#s(approx (log (- (exp a) -1)) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* 1/8 a))))))
#s(approx (log (- (exp a) -1)) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))
#s(approx (- a -1) #s(hole binary64 1))
#s(approx (- a -1) #s(hole binary64 (+ 1 a)))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (+ 1 (exp b))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) #s(hole binary64 (exp b)))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) #s(hole binary64 (+ a (exp b))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) #s(hole binary64 (+ (exp b) (* a (+ 1 (* 1/2 a))))))
#s(approx (+ (* 1/2 a) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 a) 1) #s(hole binary64 (+ 1 (* 1/2 a))))
#s(approx (- (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (- (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) -1) #s(hole binary64 (+ 2 (+ a (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (- (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) -1) #s(hole binary64 (+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (- (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) -1) #s(hole binary64 (+ 2 (+ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) #s(hole binary64 (+ 1 (+ a (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) #s(hole binary64 (+ 1 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) #s(hole binary64 (+ 1 (+ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ (exp a) (exp b)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 1 (exp a))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (log (- (exp a) -1)) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b))))
#s(approx (- a -1) #s(hole binary64 a))
#s(approx (- a -1) #s(hole binary64 (* a (+ 1 (/ 1 a)))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (* 1/2 (pow a 2))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (* (pow a 2) (+ 1/2 (/ 1 a)))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (* (pow a 2) (+ 1/2 (+ (/ 1 a) (+ (/ 1 (pow a 2)) (/ (exp b) (pow a 2))))))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) #s(hole binary64 (* 1/2 (pow a 2))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) #s(hole binary64 (* (pow a 2) (+ 1/2 (/ 1 a)))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) #s(hole binary64 (* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ (exp b) (pow a 2)))))))
#s(approx (+ (* 1/2 a) 1) #s(hole binary64 (* 1/2 a)))
#s(approx (+ (* 1/2 a) 1) #s(hole binary64 (* a (+ 1/2 (/ 1 a)))))
#s(approx (- (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) -1) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) #s(hole binary64 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (* (pow a 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp b)) a)) 1) a))))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) #s(hole binary64 (* (pow a 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (exp b) a)) 1) a))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx b #s(hole binary64 b))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (exp b) #s(hole binary64 1))
#s(approx (exp b) #s(hole binary64 (+ 1 b)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (+ 2 (* a (+ 1 (* 1/2 a))))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (+ 2 (+ b (* a (+ 1 (* 1/2 a)))))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* 1/2 b)))))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) #s(hole binary64 (+ 1 (+ b (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) #s(hole binary64 (+ 1 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) #s(hole binary64 (+ 1 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (- (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) -1) #s(hole binary64 (+ 1 (exp a))))
#s(approx (- (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) -1) #s(hole binary64 (+ 1 (+ b (exp a)))))
#s(approx (- (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) -1) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) #s(hole binary64 (exp a)))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) #s(hole binary64 (+ b (exp a))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) #s(hole binary64 (+ (exp a) (* b (+ 1 (* 1/2 b))))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (+ 1 (* 1/2 b))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (+ 1 (* b (+ 1/2 (* 1/6 b))))))
#s(approx (+ (* 1/6 b) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/6 b) 1/2) #s(hole binary64 (+ 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 (- (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) -1) #s(hole binary64 (* 1/6 (pow b 3))))
#s(approx (- (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) -1) #s(hole binary64 (* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))))
#s(approx (- (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) -1) #s(hole binary64 (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))))
#s(approx (- (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) -1) #s(hole binary64 (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (+ (/ 1 (pow b 3)) (/ (exp a) (pow b 3)))))))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) #s(hole binary64 (* 1/6 (pow b 3))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) #s(hole binary64 (* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) #s(hole binary64 (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) #s(hole binary64 (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (/ (exp a) (pow b 3))))))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (* 1/6 (pow b 2))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))))
#s(approx (+ (* 1/6 b) 1/2) #s(hole binary64 (* 1/6 b)))
#s(approx (+ (* 1/6 b) 1/2) #s(hole binary64 (* b (+ 1/6 (* 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))))))))
#s(approx (- (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) -1) #s(hole binary64 (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))))
#s(approx (- (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) -1) #s(hole binary64 (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp a)) b)) 1) b))) b)) 1/6)))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) #s(hole binary64 (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) #s(hole binary64 (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (exp a) b)) 1) b))) b)) 1/6)))))
Outputs
#s(approx (log (+ (exp a) (exp b))) (+.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.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)))))
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(+.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) b) (*.f64 #s(literal 1/6 binary64) b)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b))))) (/.f64 (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 b b) b)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) b) (*.f64 #s(literal 1/6 binary64) b)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b))))))
(+.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b))
#s(literal 1/6 binary64)
#s(approx (log (+ (exp a) (exp b))) (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))) (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
#s(approx (log (+ (exp a) (exp b))) (fma.f64 a (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) a) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) (-.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -3 binary64)) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)) #s(literal 3 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) #s(literal 1/2 binary64))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) a (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (+.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)) (log.f64 #s(literal 2 binary64))))
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (+.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 b #s(literal 0 binary64))) a #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)) (log.f64 #s(literal 2 binary64))))
#s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (+.f64 (fma.f64 (-.f64 (fma.f64 (+.f64 #s(literal 1/8 binary64) (-.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b #s(literal 0 binary64)) (*.f64 b #s(literal -1/48 binary64))) a)) (*.f64 b #s(literal 0 binary64)))) a #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)) (log.f64 #s(literal 2 binary64))))
#s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b))
#s(approx (/ b (- (exp a) -1)) (fma.f64 (*.f64 b a) #s(literal -1/4 binary64) (*.f64 #s(literal 1/2 binary64) b)))
#s(approx (/ b (- (exp a) -1)) (fma.f64 (-.f64 (neg.f64 (*.f64 (*.f64 b #s(literal 0 binary64)) a)) (*.f64 #s(literal 1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)))
#s(approx (/ b (- (exp a) -1)) (fma.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b #s(literal 0 binary64)) (*.f64 b #s(literal -1/48 binary64))) a)) (*.f64 b #s(literal 0 binary64))) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)))
#s(approx (- (exp a) -1) #s(literal 2 binary64))
#s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a))
#s(approx (- (exp a) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))
#s(approx (- (exp a) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64)))
#s(approx (exp a) #s(literal 1 binary64))
#s(approx (exp a) (+.f64 #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) a) (exp b)) (exp.f64 b))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) (+.f64 (exp.f64 b) a))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (exp.f64 b)))
#s(approx (+ (* 1/2 a) 1) #s(literal 1 binary64))
#s(approx (+ (* 1/2 a) 1) (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)))
#s(approx (- (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) -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 b) 1/2) b) 1) b) (exp a)) -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 a) #s(literal 2 binary64)))
#s(approx (- (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) -1) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b)) #s(literal 2 binary64)))
#s(approx (- (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) -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 (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 b) 1/2) b) 1) b) (exp a)) (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 (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b a) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b)) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b (*.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 (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) a) (exp b)) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) a))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) (*.f64 (+.f64 (+.f64 (/.f64 (exp.f64 b) (*.f64 a a)) (/.f64 #s(literal 1 binary64) a)) #s(literal 1/2 binary64)) (*.f64 a a)))
#s(approx (+ (* 1/2 a) 1) (*.f64 #s(literal 1/2 binary64) a))
#s(approx (+ (* 1/2 a) 1) (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)))
#s(approx (- (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) -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 (exp.f64 a)) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) (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(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) a)) #s(literal 1 binary64)) a)) #s(literal 1/2 binary64)) (*.f64 a a)))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (exp.f64 b) a)) #s(literal 1 binary64)) a)) #s(literal 1/2 binary64)) (*.f64 a a)))
#s(approx (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 (/.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) (*.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))))) 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 (+ (* (+ (* 1/2 a) 1) a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a b) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b)) #s(literal 1 binary64)))
#s(approx (- (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) -1) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
#s(approx (- (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) -1) (+.f64 (+.f64 b (exp.f64 a)) #s(literal 1 binary64)))
#s(approx (- (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) -1) (+.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 (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) (exp.f64 a))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) (+.f64 b (exp.f64 a)))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (exp.f64 a)))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)))
#s(approx (+ (* 1/6 b) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* 1/6 b) 1/2) (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 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 (- (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) -1) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/6 binary64)))
#s(approx (- (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) -1) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/6 binary64)) (*.f64 (*.f64 b b) b)))
#s(approx (- (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) -1) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) b)) #s(literal 1/6 binary64)) (*.f64 (*.f64 b b) b)))
#s(approx (- (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) -1) (*.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (*.f64 (*.f64 b b) b)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) b)) #s(literal 1/6 binary64)) (*.f64 (*.f64 b b) b)))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/6 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/6 binary64)) (*.f64 (*.f64 b b) b)))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) b)) #s(literal 1/6 binary64)) (*.f64 (*.f64 b b) b)))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) (*.f64 (+.f64 (+.f64 (+.f64 (/.f64 (exp.f64 a) (*.f64 (*.f64 b b) b)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) b)) #s(literal 1/6 binary64)) (*.f64 (*.f64 b b) b)))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64)))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/6 binary64))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) b)) #s(literal 1/6 binary64)) (*.f64 b b)))
#s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b))
#s(approx (+ (* 1/6 b) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/6 binary64)) 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)))
#s(approx (- (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) -1) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1/2 binary64)) b)) #s(literal 1/6 binary64)) (*.f64 (*.f64 b b) b))))
#s(approx (- (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) -1) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) #s(literal 1 binary64)) b)) #s(literal 1/2 binary64)) b)) #s(literal 1/6 binary64)) (*.f64 (*.f64 b b) b))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1/2 binary64)) b)) #s(literal 1/6 binary64)) (*.f64 (*.f64 b b) b))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (exp.f64 a) b)) #s(literal 1 binary64)) b)) #s(literal 1/2 binary64)) b)) #s(literal 1/6 binary64)) (*.f64 (*.f64 b b) b))))

eval38.0ms (0.5%)

Memory
-34.8MiB live, 23.0MiB allocated; 12ms collecting garbage
Compiler

Compiled 3 787 to 1 512 computations (60.1% saved)

prune12.0ms (0.2%)

Memory
10.7MiB live, 10.7MiB allocated; 0ms collecting garbage
Pruning

17 alts after pruning (15 fresh and 2 done)

PrunedKeptTotal
New26213275
Fresh325
Picked415
Done011
Total26917286
Accuracy
99.7%
Counts
286 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.0%
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
49.2%
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (+.f64 (cosh.f64 b) (sinh.f64 b))))
48.6%
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
48.1%
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
50.5%
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
51.6%
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
2.9%
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 #s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) a)) #s(literal -1 binary64))))
3.1%
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 #s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) #s(literal -1 binary64))))
1.4%
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) -1) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/6 binary64)))))
49.7%
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
1.5%
(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)))))
48.1%
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a))))
49.5%
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64))))
50.4%
#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)))))
50.1%
#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)))))
52.2%
#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)))))
Compiler

Compiled 516 to 484 computations (6.2% saved)

series44.0ms (0.6%)

Memory
-7.4MiB live, 40.4MiB allocated; 0ms collecting garbage
Counts
28 → 83
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 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))
#s(approx (exp a) (-.f64 a #s(literal -1 binary64)))
(-.f64 a #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (exp b) #s(literal 1 binary64))
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
(+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))
#s(approx (exp b) (+.f64 #s(literal 1 binary64) b))
(+.f64 #s(literal 1 binary64) b)
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
#s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64))
#s(literal 1/2 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 (- a -1) #s(hole binary64 1))
#s(approx (- a -1) #s(hole binary64 (+ 1 a)))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (+ 1 (exp b))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) 2) #s(hole binary64 2))
#s(approx (+ (* (+ (* 1/2 a) 1) a) 2) #s(hole binary64 (+ 2 a)))
#s(approx (+ (* (+ (* 1/2 a) 1) a) 2) #s(hole binary64 (+ 2 (* a (+ 1 (* 1/2 a))))))
#s(approx (+ (* 1/2 a) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 a) 1) #s(hole binary64 (+ 1 (* 1/2 a))))
#s(approx (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 (- a -1) #s(hole binary64 a))
#s(approx (- a -1) #s(hole binary64 (* a (+ 1 (/ 1 a)))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (* 1/2 (pow a 2))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (* (pow a 2) (+ 1/2 (/ 1 a)))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (* (pow a 2) (+ 1/2 (+ (/ 1 a) (+ (/ 1 (pow a 2)) (/ (exp b) (pow a 2))))))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) 2) #s(hole binary64 (* 1/2 (pow a 2))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) 2) #s(hole binary64 (* (pow a 2) (+ 1/2 (/ 1 a)))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) 2) #s(hole binary64 (* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 2 (pow a 2)))))))
#s(approx (+ (* 1/2 a) 1) #s(hole binary64 (* 1/2 a)))
#s(approx (+ (* 1/2 a) 1) #s(hole binary64 (* a (+ 1/2 (/ 1 a)))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (* (pow a 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp b)) a)) 1) a))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (- (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 b) #s(hole binary64 1))
#s(approx (+ 1 b) #s(hole binary64 (+ 1 b)))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (+ 2 (* a (+ 1 (* 1/2 a))))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (+ 2 (+ b (* a (+ 1 (* 1/2 a)))))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* 1/2 b)))))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (- (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 (+ 1 b) #s(hole binary64 b))
#s(approx (+ 1 b) #s(hole binary64 (* b (+ 1 (/ 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
12.0ms
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)) (exp a) (- a -1) -1 (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (+ 1 b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (+ (* (+ (* 1/2 a) 1) a) 2) (+ (* 1/2 a) 1) 1/2)
12.0ms
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)) (exp a) (- a -1) -1 (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (+ 1 b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (+ (* (+ (* 1/2 a) 1) a) 2) (+ (* 1/2 a) 1) 1/2)
8.0ms
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)) (exp a) (- a -1) -1 (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (+ 1 b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (+ (* (+ (* 1/2 a) 1) a) 2) (+ (* 1/2 a) 1) 1/2)
7.0ms
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)) (exp a) (- a -1) -1 (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (+ 1 b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (+ (* (+ (* 1/2 a) 1) a) 2) (+ (* 1/2 a) 1) 1/2)
2.0ms
b
@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)) (exp a) (- a -1) -1 (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (+ 1 b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (+ (* (+ (* 1/2 a) 1) a) 2) (+ (* 1/2 a) 1) 1/2)

rewrite133.0ms (1.8%)

Memory
0.7MiB live, 45.6MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03091724
03241645
118711637
082471542
Stop Event
iter-limit
node-limit
iter-limit
Counts
111 → 195
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 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))
#s(approx (exp a) (-.f64 a #s(literal -1 binary64)))
(-.f64 a #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (exp b) #s(literal 1 binary64))
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
(+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))
#s(approx (exp b) (+.f64 #s(literal 1 binary64) b))
(+.f64 #s(literal 1 binary64) b)
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
#s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64))
#s(literal 1/2 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 (- a -1) #s(hole binary64 1))
#s(approx (- a -1) #s(hole binary64 (+ 1 a)))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (+ 1 (exp b))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) 2) #s(hole binary64 2))
#s(approx (+ (* (+ (* 1/2 a) 1) a) 2) #s(hole binary64 (+ 2 a)))
#s(approx (+ (* (+ (* 1/2 a) 1) a) 2) #s(hole binary64 (+ 2 (* a (+ 1 (* 1/2 a))))))
#s(approx (+ (* 1/2 a) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 a) 1) #s(hole binary64 (+ 1 (* 1/2 a))))
#s(approx (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 (- a -1) #s(hole binary64 a))
#s(approx (- a -1) #s(hole binary64 (* a (+ 1 (/ 1 a)))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (* 1/2 (pow a 2))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (* (pow a 2) (+ 1/2 (/ 1 a)))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (* (pow a 2) (+ 1/2 (+ (/ 1 a) (+ (/ 1 (pow a 2)) (/ (exp b) (pow a 2))))))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) 2) #s(hole binary64 (* 1/2 (pow a 2))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) 2) #s(hole binary64 (* (pow a 2) (+ 1/2 (/ 1 a)))))
#s(approx (+ (* (+ (* 1/2 a) 1) a) 2) #s(hole binary64 (* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 2 (pow a 2)))))))
#s(approx (+ (* 1/2 a) 1) #s(hole binary64 (* 1/2 a)))
#s(approx (+ (* 1/2 a) 1) #s(hole binary64 (* a (+ 1/2 (/ 1 a)))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (* (pow a 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp b)) a)) 1) a))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp a)))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (- (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 b) #s(hole binary64 1))
#s(approx (+ 1 b) #s(hole binary64 (+ 1 b)))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (+ 2 (* a (+ 1 (* 1/2 a))))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (+ 2 (+ b (* a (+ 1 (* 1/2 a)))))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* 1/2 b)))))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(hole binary64 (+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (+ (/ b (- (exp a) -1)) (log (- (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 (+ 1 b) #s(hole binary64 b))
#s(approx (+ 1 b) #s(hole binary64 (* b (+ 1 (/ 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))) #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 (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))))
(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1 binary64)))
(+.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))
#s(literal 1 binary64)
(exp.f64 a)
(+.f64 (cosh.f64 a) (sinh.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)
(-.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)))) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))) (log.f64 (-.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))))
(-.f64 (log.f64 (fma.f64 (*.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp a) (-.f64 a #s(literal -1 binary64)))) #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (*.f64 (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))) (log.f64 (fma.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (-.f64 (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (*.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))))))
(log.f64 (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) (-.f64 a #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp a) (-.f64 a #s(literal -1 binary64)))) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))) (neg.f64 (-.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp a) (-.f64 a #s(literal -1 binary64)))) #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (*.f64 (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))) (neg.f64 (fma.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (-.f64 (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (*.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (*.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp a) (-.f64 a #s(literal -1 binary64)))) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) (-.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 (fma.f64 (*.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp a) (-.f64 a #s(literal -1 binary64)))) #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (*.f64 (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) (fma.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (-.f64 (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (*.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))))
(-.f64 (/.f64 (*.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp a) (-.f64 a #s(literal -1 binary64)))) (-.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) (/.f64 (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (-.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))))
(+.f64 (/.f64 (*.f64 (*.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp a) (-.f64 a #s(literal -1 binary64)))) #s(approx (exp a) (-.f64 a #s(literal -1 binary64)))) (fma.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (-.f64 (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (*.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))))) (/.f64 (*.f64 (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))) (fma.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (-.f64 (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (*.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))))))
(+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) (-.f64 a #s(literal -1 binary64))))
(+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))
#s(approx (exp a) (-.f64 a #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 (*.f64 a a) #s(literal 1 binary64))) (neg.f64 (+.f64 a #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 a a) a) #s(literal -1 binary64))) (neg.f64 (fma.f64 a a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal -1 binary64))))))
(/.f64 (-.f64 (*.f64 a a) #s(literal 1 binary64)) (+.f64 a #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 a a) a) #s(literal -1 binary64)) (fma.f64 a a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal -1 binary64)))))
(-.f64 (/.f64 (*.f64 a a) (+.f64 a #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 a a) a) (fma.f64 a a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 a a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal -1 binary64))))))
(-.f64 a #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (exp b) #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)))) (*.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))) (log.f64 (-.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))))
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#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 (- 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) a) 2) #s(literal 2 binary64))
#s(approx (+ (* (+ (* 1/2 a) 1) a) 2) (+.f64 #s(literal 2 binary64) a))
#s(approx (+ (* (+ (* 1/2 a) 1) a) 2) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))
#s(approx (+ (* 1/2 a) 1) #s(literal 1 binary64))
#s(approx (+ (* 1/2 a) 1) (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)))
#s(approx (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 (- a -1) a)
#s(approx (- a -1) (fma.f64 #s(literal 1 binary64) a #s(literal 1 binary64)))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) a))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (*.f64 (+.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a a)) (/.f64 #s(literal 1 binary64) a)) #s(literal 1/2 binary64)) (*.f64 a a)))
#s(approx (+ (* (+ (* 1/2 a) 1) a) 2) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* 1/2 a) 1) a) 2) (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) a))
#s(approx (+ (* (+ (* 1/2 a) 1) a) 2) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 a a))) (*.f64 a a)))
#s(approx (+ (* 1/2 a) 1) (*.f64 #s(literal 1/2 binary64) a))
#s(approx (+ (* 1/2 a) 1) (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)))
#s(approx (- (+ (* (+ (* 1/2 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 (+ (/ 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 b) #s(literal 1 binary64))
#s(approx (+ 1 b) (+.f64 #s(literal 1 binary64) b))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a b) #s(literal 2 binary64)))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a)) #s(literal 2 binary64)))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a)) #s(literal 2 binary64)))
#s(approx (+ (/ b (- (exp a) -1)) (log (- (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 (+ 1 b) b)
#s(approx (+ 1 b) (fma.f64 #s(literal 1 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)))

eval17.0ms (0.2%)

Memory
14.4MiB live, 14.4MiB allocated; 0ms collecting garbage
Compiler

Compiled 2 359 to 930 computations (60.6% saved)

prune10.0ms (0.1%)

Memory
8.0MiB live, 8.0MiB allocated; 0ms collecting garbage
Pruning

17 alts after pruning (11 fresh and 6 done)

PrunedKeptTotal
New1694173
Fresh3710
Picked145
Done022
Total17317190
Accuracy
99.7%
Counts
190 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.0%
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
49.2%
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (+.f64 (cosh.f64 b) (sinh.f64 b))))
48.1%
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
1.5%
(log.f64 (+.f64 #s(approx (exp a) #s(approx (- a -1) a)) #s(approx (exp b) #s(literal 1 binary64))))
50.0%
(log.f64 (+.f64 #s(approx (exp a) #s(approx (- a -1) #s(literal 1 binary64))) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
50.5%
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
51.6%
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
2.9%
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 #s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) a)) #s(literal -1 binary64))))
49.7%
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
1.5%
(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)))))
48.1%
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(approx (+ (* (+ (* 1/2 a) 1) a) 2) (+.f64 #s(literal 2 binary64) a)))))
49.5%
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64))))
50.4%
#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)))))
50.1%
#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)))))
52.2%
#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)))))
11.9%
#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 459 to 422 computations (8.1% saved)

series47.0ms (0.6%)

Memory
-5.4MiB live, 41.1MiB allocated; 1ms collecting garbage
Counts
29 → 74
Calls
Call 1
Inputs
(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)))
(-.f64 (exp.f64 b) #s(literal -1 binary64))
(exp.f64 b)
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 (+.f64 #s(approx (exp a) #s(approx (- a -1) a)) #s(approx (exp b) #s(literal 1 binary64))))
(+.f64 #s(approx (exp a) #s(approx (- a -1) a)) #s(approx (exp b) #s(literal 1 binary64)))
#s(approx (exp a) #s(approx (- a -1) a))
#s(approx (- a -1) a)
a
#s(approx (exp b) #s(literal 1 binary64))
#s(literal 1 binary64)
(log.f64 (+.f64 #s(approx (exp a) #s(approx (- a -1) #s(literal 1 binary64))) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
(+.f64 #s(approx (exp a) #s(approx (- a -1) #s(literal 1 binary64))) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))
#s(approx (exp a) #s(approx (- a -1) #s(literal 1 binary64)))
#s(approx (- a -1) #s(literal 1 binary64))
#s(approx (exp b) (+.f64 #s(literal 1 binary64) b))
(+.f64 #s(literal 1 binary64) b)
(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)
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 (+ (/ 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) #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 -1) #s(hole binary64 1))
#s(approx (- a -1) #s(hole binary64 (+ 1 a)))
#s(approx a #s(hole binary64 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 (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 (+ (/ 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) #s(hole binary64 (exp a)))
#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 (+ (* (* a a) 1/2) a) #s(hole binary64 (* 1/2 (pow a 2))))
#s(approx (+ (* (* a a) 1/2) a) #s(hole binary64 (* (pow a 2) (+ 1/2 (/ 1 a)))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -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 (+ (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) -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 (+ (/ 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 (+ 1 b) #s(hole binary64 1))
#s(approx (+ 1 b) #s(hole binary64 (+ 1 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 (+ 1 (exp b))))
#s(approx (exp b) #s(hole binary64 (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 b) #s(hole binary64 b))
#s(approx (+ 1 b) #s(hole binary64 (* b (+ 1 (/ 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
14.0ms
a
@-inf
((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (exp b) -1) (exp b) 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)) (exp a) (- a -1) a (exp b) 1 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (- a -1) (exp b) (+ 1 b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (+ (* (* a a) 1/2) a) (* a a))
13.0ms
a
@inf
((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (exp b) -1) (exp b) 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)) (exp a) (- a -1) a (exp b) 1 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (- a -1) (exp b) (+ 1 b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (+ (* (* a a) 1/2) a) (* a a))
8.0ms
b
@-inf
((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (exp b) -1) (exp b) 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)) (exp a) (- a -1) a (exp b) 1 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (- a -1) (exp b) (+ 1 b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (+ (* (* a a) 1/2) a) (* a a))
8.0ms
b
@inf
((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (exp b) -1) (exp b) 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)) (exp a) (- a -1) a (exp b) 1 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (- a -1) (exp b) (+ 1 b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (+ (* (* a a) 1/2) a) (* a a))
2.0ms
b
@0
((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (exp b) -1) (exp b) 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)) (exp a) (- a -1) a (exp b) 1 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (- a -1) (exp b) (+ 1 b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (+ (* (* a a) 1/2) a) (* a a))

rewrite131.0ms (1.7%)

Memory
-5.8MiB live, 44.5MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03001645
03111583
118411576
081221459
Stop Event
iter-limit
node-limit
iter-limit
Counts
103 → 162
Calls
Call 1
Inputs
(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)))
(-.f64 (exp.f64 b) #s(literal -1 binary64))
(exp.f64 b)
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 (+.f64 #s(approx (exp a) #s(approx (- a -1) a)) #s(approx (exp b) #s(literal 1 binary64))))
(+.f64 #s(approx (exp a) #s(approx (- a -1) a)) #s(approx (exp b) #s(literal 1 binary64)))
#s(approx (exp a) #s(approx (- a -1) a))
#s(approx (- a -1) a)
a
#s(approx (exp b) #s(literal 1 binary64))
#s(literal 1 binary64)
(log.f64 (+.f64 #s(approx (exp a) #s(approx (- a -1) #s(literal 1 binary64))) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
(+.f64 #s(approx (exp a) #s(approx (- a -1) #s(literal 1 binary64))) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))
#s(approx (exp a) #s(approx (- a -1) #s(literal 1 binary64)))
#s(approx (- a -1) #s(literal 1 binary64))
#s(approx (exp b) (+.f64 #s(literal 1 binary64) b))
(+.f64 #s(literal 1 binary64) b)
(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(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 (+ (/ 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) #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 -1) #s(hole binary64 1))
#s(approx (- a -1) #s(hole binary64 (+ 1 a)))
#s(approx a #s(hole binary64 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 (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 (+ (/ 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) #s(hole binary64 (exp a)))
#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 (+ (* (* a a) 1/2) a) #s(hole binary64 (* 1/2 (pow a 2))))
#s(approx (+ (* (* a a) 1/2) a) #s(hole binary64 (* (pow a 2) (+ 1/2 (/ 1 a)))))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -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 (+ (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) -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 (+ (/ 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 (+ 1 b) #s(hole binary64 1))
#s(approx (+ 1 b) #s(hole binary64 (+ 1 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 (+ 1 (exp b))))
#s(approx (exp b) #s(hole binary64 (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 b) #s(hole binary64 b))
#s(approx (+ 1 b) #s(hole binary64 (* b (+ 1 (/ 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
(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)))
(/.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))
(exp.f64 b)
(+.f64 (cosh.f64 b) (sinh.f64 b))
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)))
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#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) #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 -1) #s(literal 1 binary64))
#s(approx (- a -1) (+.f64 #s(literal 1 binary64) a))
#s(approx a 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 (+ (* (* 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 (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 (+ (/ 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.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 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 (- (+ (* (+ (* 1/2 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 (+ (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) -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 (+ (/ 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 (+ 1 b) #s(literal 1 binary64))
#s(approx (+ 1 b) (+.f64 #s(literal 1 binary64) b))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))
#s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (+.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 (- (exp b) -1) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
#s(approx (exp b) (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 b) b)
#s(approx (+ 1 b) (fma.f64 #s(literal 1 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)))

eval12.0ms (0.2%)

Memory
10.6MiB live, 10.6MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 933 to 683 computations (64.7% saved)

prune12.0ms (0.2%)

Memory
9.9MiB live, 9.9MiB allocated; 0ms collecting garbage
Pruning

21 alts after pruning (10 fresh and 11 done)

PrunedKeptTotal
New1265131
Fresh156
Picked055
Done066
Total12721148
Accuracy
99.7%
Counts
148 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.0%
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
48.1%
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
1.5%
(log.f64 (+.f64 #s(approx (exp a) #s(approx (- a -1) a)) #s(approx (exp b) #s(literal 1 binary64))))
50.0%
(log.f64 (+.f64 #s(approx (exp a) #s(approx (- a -1) #s(literal 1 binary64))) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
5.3%
(log.f64 (+.f64 #s(approx (exp a) #s(approx (- a -1) #s(literal 1 binary64))) #s(approx (exp b) #s(approx (+ 1 b) b))))
50.5%
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (+.f64 (cosh.f64 b) (sinh.f64 b)) #s(literal -1 binary64))))
50.5%
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
51.6%
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
2.9%
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 #s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) a)) #s(literal -1 binary64))))
49.7%
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
1.5%
(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)))))
48.1%
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(approx (+ (* (+ (* 1/2 a) 1) a) 2) (+.f64 #s(literal 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))))
50.2%
(log.f64 #s(approx (+ (exp a) (exp 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)))))
50.0%
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
49.5%
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64))))
50.4%
#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)))))
50.1%
#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)))))
52.2%
#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)))))
11.9%
#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 608 to 486 computations (20.1% saved)

regimes43.0ms (0.6%)

Memory
-23.2MiB live, 23.7MiB allocated; 2ms collecting garbage
Counts
33 → 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 (- (exp a) -1) #s(literal 2 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(approx (+ (* (* a a) 1/2) a) a))))
(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))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(approx (+ (* (+ (* 1/2 a) 1) a) 2) (+.f64 #s(literal 2 binary64) a)))))
(log.f64 (+.f64 #s(approx (exp a) #s(approx (- a -1) #s(literal 1 binary64))) #s(approx (exp b) #s(approx (+ 1 b) b))))
(log.f64 (+.f64 #s(approx (exp a) #s(approx (- a -1) a)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(approx (exp a) #s(approx (- a -1) #s(literal 1 binary64))) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
(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 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 #s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) #s(literal -1 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) -1) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/6 binary64)))))
(log.f64 #s(approx (+ (exp a) (exp 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)))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 #s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) a)) #s(literal -1 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (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 (+.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)))))
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (exp.f64 b)) #s(literal -1 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (exp.f64 a)) #s(literal -1 binary64))))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b (exp.f64 a)) #s(literal -1 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (+.f64 (cosh.f64 b) (sinh.f64 b)) #s(literal -1 binary64))))
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (+.f64 (cosh.f64 b) (sinh.f64 b))))
#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 (+.f64 (exp.f64 a) (+.f64 (cosh.f64 b) (sinh.f64 b))))
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:

9.0ms
a
8.0ms
b
6.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
6.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
6.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
99.0%1(exp.f64 b)
99.0%1(exp.f64 a)
99.0%1(+.f64 (exp.f64 a) (exp.f64 b))
99.0%1(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
99.0%1a
99.0%1b
Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes39.0ms (0.5%)

Memory
22.7MiB live, 22.7MiB allocated; 0ms collecting garbage
Counts
31 → 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 (- (exp a) -1) #s(literal 2 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(approx (+ (* (* a a) 1/2) a) a))))
(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))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(approx (+ (* (+ (* 1/2 a) 1) a) 2) (+.f64 #s(literal 2 binary64) a)))))
(log.f64 (+.f64 #s(approx (exp a) #s(approx (- a -1) #s(literal 1 binary64))) #s(approx (exp b) #s(approx (+ 1 b) b))))
(log.f64 (+.f64 #s(approx (exp a) #s(approx (- a -1) a)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(approx (exp a) #s(approx (- a -1) #s(literal 1 binary64))) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
(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 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 #s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) #s(literal -1 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) -1) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/6 binary64)))))
(log.f64 #s(approx (+ (exp a) (exp 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)))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 #s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) a)) #s(literal -1 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (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 (+.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)))))
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (exp.f64 b)) #s(literal -1 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (exp.f64 a)) #s(literal -1 binary64))))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b (exp.f64 a)) #s(literal -1 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (+.f64 (cosh.f64 b) (sinh.f64 b)) #s(literal -1 binary64))))
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (+.f64 (cosh.f64 b) (sinh.f64 b))))
#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:

8.0ms
b
8.0ms
a
6.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
5.0ms
(exp.f64 a)
5.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
Results
AccuracySegmentsBranch
54.0%1(exp.f64 b)
99.6%2(exp.f64 a)
98.9%2(+.f64 (exp.f64 a) (exp.f64 b))
98.9%2(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
99.6%2a
67.0%4b
Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes12.0ms (0.2%)

Memory
7.8MiB live, 7.8MiB allocated; 0ms collecting garbage
Counts
26 → 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 (- (exp a) -1) #s(literal 2 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(approx (+ (* (* a a) 1/2) a) a))))
(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))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(approx (+ (* (+ (* 1/2 a) 1) a) 2) (+.f64 #s(literal 2 binary64) a)))))
(log.f64 (+.f64 #s(approx (exp a) #s(approx (- a -1) #s(literal 1 binary64))) #s(approx (exp b) #s(approx (+ 1 b) b))))
(log.f64 (+.f64 #s(approx (exp a) #s(approx (- a -1) a)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(approx (exp a) #s(approx (- a -1) #s(literal 1 binary64))) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
(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 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 #s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) #s(literal -1 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) -1) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/6 binary64)))))
(log.f64 #s(approx (+ (exp a) (exp 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)))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 #s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) a)) #s(literal -1 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (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 (+.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)))))
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (exp.f64 b)) #s(literal -1 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (exp.f64 a)) #s(literal -1 binary64))))
Outputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (exp.f64 a)) #s(literal -1 binary64))))
Calls

2 calls:

7.0ms
a
5.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
99.2%2(exp.f64 a)
99.2%2a
Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes13.0ms (0.2%)

Memory
-39.9MiB live, 7.6MiB allocated; 0ms collecting garbage
Counts
25 → 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 (- (exp a) -1) #s(literal 2 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(approx (+ (* (* a a) 1/2) a) a))))
(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))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(approx (+ (* (+ (* 1/2 a) 1) a) 2) (+.f64 #s(literal 2 binary64) a)))))
(log.f64 (+.f64 #s(approx (exp a) #s(approx (- a -1) #s(literal 1 binary64))) #s(approx (exp b) #s(approx (+ 1 b) b))))
(log.f64 (+.f64 #s(approx (exp a) #s(approx (- a -1) a)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(approx (exp a) #s(approx (- a -1) #s(literal 1 binary64))) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
(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 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 #s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) #s(literal -1 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) -1) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/6 binary64)))))
(log.f64 #s(approx (+ (exp a) (exp 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)))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 #s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) a)) #s(literal -1 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (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 (+.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)))))
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (exp.f64 b)) #s(literal -1 binary64))))
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)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (exp.f64 b)) #s(literal -1 binary64))))
Calls

2 calls:

7.0ms
a
5.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
99.1%2(exp.f64 a)
99.1%2a
Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes12.0ms (0.2%)

Memory
7.3MiB live, 7.3MiB allocated; 0ms collecting garbage
Counts
24 → 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 (- (exp a) -1) #s(literal 2 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(approx (+ (* (* a a) 1/2) a) a))))
(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))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(approx (+ (* (+ (* 1/2 a) 1) a) 2) (+.f64 #s(literal 2 binary64) a)))))
(log.f64 (+.f64 #s(approx (exp a) #s(approx (- a -1) #s(literal 1 binary64))) #s(approx (exp b) #s(approx (+ 1 b) b))))
(log.f64 (+.f64 #s(approx (exp a) #s(approx (- a -1) a)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(approx (exp a) #s(approx (- a -1) #s(literal 1 binary64))) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
(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 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 #s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) #s(literal -1 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) -1) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/6 binary64)))))
(log.f64 #s(approx (+ (exp a) (exp 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)))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 #s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) a)) #s(literal -1 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (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 (+.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)))))
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) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))
Calls

2 calls:

6.0ms
a
4.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
99.0%2(exp.f64 a)
99.0%2a
Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes20.0ms (0.3%)

Memory
12.5MiB live, 12.5MiB allocated; 0ms 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 (- (exp a) -1) #s(literal 2 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(approx (+ (* (* a a) 1/2) a) a))))
(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))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(approx (+ (* (+ (* 1/2 a) 1) a) 2) (+.f64 #s(literal 2 binary64) a)))))
(log.f64 (+.f64 #s(approx (exp a) #s(approx (- a -1) #s(literal 1 binary64))) #s(approx (exp b) #s(approx (+ 1 b) b))))
(log.f64 (+.f64 #s(approx (exp a) #s(approx (- a -1) a)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(approx (exp a) #s(approx (- a -1) #s(literal 1 binary64))) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
(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 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 #s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) #s(literal -1 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) -1) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/6 binary64)))))
(log.f64 #s(approx (+ (exp a) (exp 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)))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 #s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) a)) #s(literal -1 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (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 (+.f64 #s(approx (exp a) (-.f64 a #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))) (/.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

4 calls:

6.0ms
a
4.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
4.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
97.9%2(+.f64 (exp.f64 a) (exp.f64 b))
97.9%2(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
98.8%2(exp.f64 a)
98.8%2a
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes11.0ms (0.1%)

Memory
7.0MiB live, 7.0MiB allocated; 0ms collecting garbage
Counts
22 → 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 (- (exp a) -1) #s(literal 2 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(approx (+ (* (* a a) 1/2) a) a))))
(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))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(approx (+ (* (+ (* 1/2 a) 1) a) 2) (+.f64 #s(literal 2 binary64) a)))))
(log.f64 (+.f64 #s(approx (exp a) #s(approx (- a -1) #s(literal 1 binary64))) #s(approx (exp b) #s(approx (+ 1 b) b))))
(log.f64 (+.f64 #s(approx (exp a) #s(approx (- a -1) a)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(approx (exp a) #s(approx (- a -1) #s(literal 1 binary64))) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
(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 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 #s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) #s(literal -1 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) -1) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/6 binary64)))))
(log.f64 #s(approx (+ (exp a) (exp 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)))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 #s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) a)) #s(literal -1 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) (-.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 #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
Calls

2 calls:

6.0ms
a
4.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
98.5%2(exp.f64 a)
98.5%2a
Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes10.0ms (0.1%)

Memory
6.5MiB live, 6.5MiB 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 (- (exp a) -1) #s(literal 2 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(approx (+ (* (* a a) 1/2) a) a))))
(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))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(approx (+ (* (+ (* 1/2 a) 1) a) 2) (+.f64 #s(literal 2 binary64) a)))))
(log.f64 (+.f64 #s(approx (exp a) #s(approx (- a -1) #s(literal 1 binary64))) #s(approx (exp b) #s(approx (+ 1 b) b))))
(log.f64 (+.f64 #s(approx (exp a) #s(approx (- a -1) a)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(approx (exp a) #s(approx (- a -1) #s(literal 1 binary64))) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
(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 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 #s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) #s(literal -1 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) -1) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/6 binary64)))))
(log.f64 #s(approx (+ (exp a) (exp 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)))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 #s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) a)) #s(literal -1 binary64))))
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))) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
Calls

2 calls:

5.0ms
a
4.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
98.2%2a
98.2%2(exp.f64 a)
Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes22.0ms (0.3%)

Memory
-34.0MiB live, 13.6MiB allocated; 1ms collecting garbage
Counts
18 → 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 (- (exp a) -1) #s(literal 2 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(approx (+ (* (* a a) 1/2) a) a))))
(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))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(approx (+ (* (+ (* 1/2 a) 1) a) 2) (+.f64 #s(literal 2 binary64) a)))))
(log.f64 (+.f64 #s(approx (exp a) #s(approx (- a -1) #s(literal 1 binary64))) #s(approx (exp b) #s(approx (+ 1 b) b))))
(log.f64 (+.f64 #s(approx (exp a) #s(approx (- a -1) a)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(approx (exp a) #s(approx (- a -1) #s(literal 1 binary64))) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
(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 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
(log.f64 #s(approx (+ (exp a) (exp b)) (-.f64 #s(approx (+ (* (+ (* 1/2 a) 1) a) (exp b)) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) #s(literal -1 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (exp a)) -1) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/6 binary64)))))
(log.f64 #s(approx (+ (exp a) (exp 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)))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
Outputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) #s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b))))
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
Calls

5 calls:

5.0ms
a
5.0ms
b
4.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
3.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
3.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
50.2%1b
57.7%2(+.f64 (exp.f64 a) (exp.f64 b))
57.7%2(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
57.9%2(exp.f64 a)
57.9%2a
Compiler

Compiled 15 to 18 computations (-20% saved)

regimes12.0ms (0.2%)

Memory
8.8MiB live, 8.8MiB allocated; 0ms collecting garbage
Counts
13 → 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 (- (exp a) -1) #s(literal 2 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(approx (+ (* (* a a) 1/2) a) a))))
(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))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(approx (+ (* (+ (* 1/2 a) 1) a) 2) (+.f64 #s(literal 2 binary64) a)))))
(log.f64 (+.f64 #s(approx (exp a) #s(approx (- a -1) #s(literal 1 binary64))) #s(approx (exp b) #s(approx (+ 1 b) b))))
(log.f64 (+.f64 #s(approx (exp a) #s(approx (- a -1) a)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(approx (exp a) #s(approx (- a -1) #s(literal 1 binary64))) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
(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))))
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 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
Calls

4 calls:

4.0ms
a
3.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
3.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
3.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
57.3%2(+.f64 (exp.f64 a) (exp.f64 b))
57.3%2(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
57.4%2(exp.f64 a)
57.4%2a
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes5.0ms (0.1%)

Memory
4.2MiB live, 4.2MiB allocated; 0ms collecting garbage
Counts
9 → 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 (- (exp a) -1) #s(literal 2 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(approx (+ (* (* a a) 1/2) a) a))))
(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))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(approx (+ (* (+ (* 1/2 a) 1) a) 2) (+.f64 #s(literal 2 binary64) a)))))
(log.f64 (+.f64 #s(approx (exp a) #s(approx (- a -1) #s(literal 1 binary64))) #s(approx (exp b) #s(approx (+ 1 b) b))))
(log.f64 (+.f64 #s(approx (exp a) #s(approx (- a -1) a)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (- (exp a) -1))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
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

2 calls:

3.0ms
a
2.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
57.4%2(exp.f64 a)
57.4%2a
Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes5.0ms (0.1%)

Memory
5.1MiB live, 5.1MiB 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 (- (exp a) -1) #s(literal 2 binary64))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (+ (* (+ (* 1/2 a) 1) a) (exp b)) -1) #s(approx (+ (* (* a a) 1/2) a) a))))
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:

1.0ms
a
1.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
1.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
56.8%2(+.f64 (exp.f64 a) (exp.f64 b))
56.8%2(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
56.8%2(exp.f64 a)
56.8%2a
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes5.0ms (0.1%)

Memory
6.7MiB live, 6.7MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 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))))
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
b
1.0ms
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
11.9%1b
11.9%1(exp.f64 b)
11.9%1(+.f64 (exp.f64 a) (exp.f64 b))
11.9%1(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
11.9%1(exp.f64 a)
11.9%1a
Compiler

Compiled 17 to 21 computations (-23.5% saved)

bsearch19.0ms (0.2%)

Memory
4.5MiB live, 4.5MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
17.0ms
-50.664509310096946
-0.1281391721278752
Samples
11.0ms93×1valid
2.0ms35×0valid
Compiler

Compiled 217 to 211 computations (2.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-exp: 5.0ms (50% of total)
ival-log: 3.0ms (30% of total)
adjust: 1.0ms (10% of total)
ival-add!: 1.0ms (10% of total)

bsearch1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
-50.664509310096946
-0.1281391721278752
Compiler

Compiled 281 to 275 computations (2.1% saved)

bsearch8.0ms (0.1%)

Memory
2.2MiB live, 2.2MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
8.0ms
-50.664509310096946
-0.1281391721278752
Samples
5.0ms45×1valid
0.0ms0valid
Compiler

Compiled 281 to 275 computations (2.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-exp: 2.0ms (50% of total)
adjust: 1.0ms (25% of total)
ival-log: 1.0ms (25% of total)
ival-add!: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
-50.664509310096946
-0.1281391721278752
Compiler

Compiled 241 to 235 computations (2.5% saved)

bsearch10.0ms (0.1%)

Memory
3.0MiB live, 3.0MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
9.0ms
-50.664509310096946
-0.1281391721278752
Samples
5.0ms112×0valid
Compiler

Compiled 241 to 235 computations (2.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-exp: 2.0ms (63.8% of total)
ival-log: 1.0ms (31.9% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
9.92391825571899e-23
0.8797309365981426
Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
9.92391825571899e-23
0.8797309365981426
Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
-50.664509310096946
-0.1281391721278752
Compiler

Compiled 289 to 275 computations (4.8% saved)

bsearch1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
-50.664509310096946
-0.1281391721278752
Compiler

Compiled 281 to 267 computations (5% saved)

bsearch1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
-50.664509310096946
-0.1281391721278752
Compiler

Compiled 297 to 275 computations (7.4% saved)

bsearch4.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
3.0ms
-50.664509310096946
-0.1281391721278752
Samples
2.0ms15×1valid
0.0ms0valid
Compiler

Compiled 289 to 267 computations (7.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-exp: 1.0ms (55.9% of total)
adjust: 0.0ms (0% of total)
ival-log: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)

derivations265.0ms (3.5%)

Memory
-55.3MiB live, 4.9MiB allocated; 11ms collecting garbage
Stop Event
fuel
Compiler

Compiled 131 to 89 computations (32.1% saved)

preprocess100.0ms (1.3%)

Memory
34.0MiB live, 127.3MiB allocated; 6ms collecting garbage
Compiler

Compiled 937 to 737 computations (21.3% saved)

end0.0ms (0%)

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

Profiling

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