Quotient of sum of exps

Time bar (total: 3.5s)

start0.0ms (0%)

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

analyze18.0ms (0.5%)

Memory
-39.4MiB live, 10.3MiB allocated; 21ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
50%50%50%0.1%0%0%0%2
75%74.9%25%0.1%0%0%0%3
87.5%87.4%12.5%0.1%0%0%0%4
93.8%93.7%6.2%0.1%0%0%0%5
93.8%93.7%6.2%0.1%0%0%0%6
95.2%93.7%4.7%0.1%0%1.6%0%7
96%93.7%3.9%0.1%0%2.3%0%8
97.2%93.7%2.7%0.1%0%3.5%0%9
97.8%93.7%2.1%0.1%0%4.1%0%10
98.5%93.7%1.5%0.1%0%4.8%0%11
98.8%93.7%1.1%0.1%0%5.1%0%12
Compiler

Compiled 10 to 8 computations (20% saved)

sample1.2s (33.4%)

Memory
65.7MiB live, 1 533.3MiB allocated; 236ms collecting garbage
Samples
573.0ms8 256×0valid
153.0ms2 934×0exit
Precisions
Click to see histograms. Total time spent on operations: 424.0ms
ival-exp: 276.0ms (65% of total)
ival-div!: 100.0ms (23.6% of total)
ival-add!: 46.0ms (10.8% of total)
adjust: 2.0ms (0.5% of total)
Bogosity

explain80.0ms (2.3%)

Memory
-26.7MiB live, 162.8MiB allocated; 20ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
30-0-(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
00-0-(+.f64 (exp.f64 a) (exp.f64 b))
00-0-a
00-0-(exp.f64 b)
00-0-b
00-0-(exp.f64 a)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))o/o20
(exp.f64 a)overflow2
(+.f64 (exp.f64 a) (exp.f64 b))overflow61
(exp.f64 a)overflow2
(exp.f64 b)overflow60
/.f64(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))u/u10
(exp.f64 a)underflow70
(+.f64 (exp.f64 a) (exp.f64 b))underflow1
(exp.f64 a)underflow70
(exp.f64 b)underflow58
Confusion
Predicted +Predicted -
+30
-0253
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+300
-00253
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0253
13
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
32.0ms512×0valid
Compiler

Compiled 50 to 22 computations (56% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-exp: 8.0ms (67.9% of total)
ival-div!: 2.0ms (17% of total)
ival-add!: 1.0ms (8.5% of total)
adjust: 0.0ms (0% of total)

preprocess30.0ms (0.9%)

Memory
-15.2MiB live, 31.2MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01856
14656
214756
356351
4326051
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.8%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 16 to 12 computations (25% saved)

series7.0ms (0.2%)

Memory
19.8MiB live, 19.8MiB allocated; 0ms collecting garbage
Counts
6 → 30
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(exp.f64 a)
a
(+.f64 (exp.f64 a) (exp.f64 b))
(exp.f64 b)
b
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (exp a) #s(hole binary64 1))
#s(approx (exp a) #s(hole binary64 (+ 1 a)))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx a #s(hole binary64 a))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ (exp a) (exp b)))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (exp b) #s(hole binary64 1))
#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
1.0ms
a
@0
((/ (exp a) (+ (exp a) (exp b))) (exp a) a (+ (exp a) (exp b)) (exp b) b)
1.0ms
a
@-inf
((/ (exp a) (+ (exp a) (exp b))) (exp a) a (+ (exp a) (exp b)) (exp b) b)
1.0ms
a
@inf
((/ (exp a) (+ (exp a) (exp b))) (exp a) a (+ (exp a) (exp b)) (exp b) b)
1.0ms
b
@0
((/ (exp a) (+ (exp a) (exp b))) (exp a) a (+ (exp a) (exp b)) (exp b) b)
1.0ms
b
@inf
((/ (exp a) (+ (exp a) (exp b))) (exp a) a (+ (exp a) (exp b)) (exp b) b)

rewrite164.0ms (4.7%)

Memory
0.3MiB live, 277.9MiB allocated; 21ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0154730
0158693
11024684
08044638
Stop Event
iter-limit
node-limit
iter-limit
Counts
36 → 54
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(exp.f64 a)
a
(+.f64 (exp.f64 a) (exp.f64 b))
(exp.f64 b)
b
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (exp a) #s(hole binary64 1))
#s(approx (exp a) #s(hole binary64 (+ 1 a)))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx a #s(hole binary64 a))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ (exp a) (exp b)))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (exp b) #s(hole binary64 1))
#s(approx (exp b) #s(hole binary64 (+ 1 b)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx b #s(hole binary64 b))
#s(approx (exp b) #s(hole binary64 (exp b)))
Outputs
(/.f64 (neg.f64 (neg.f64 (exp.f64 a))) (neg.f64 (neg.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(/.f64 (neg.f64 (exp.f64 a)) (neg.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(+.f64 (/.f64 (cosh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) (/.f64 (sinh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))))
(/.f64 (-.f64 (*.f64 (cosh.f64 a) (cosh.f64 a)) (*.f64 (sinh.f64 a) (sinh.f64 a))) (-.f64 (cosh.f64 a) (sinh.f64 a)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 a) #s(literal 3 binary64)) (pow.f64 (sinh.f64 a) #s(literal 3 binary64))) (fma.f64 (cosh.f64 a) (cosh.f64 a) (-.f64 (*.f64 (sinh.f64 a) (sinh.f64 a)) (*.f64 (cosh.f64 a) (sinh.f64 a)))))
(+.f64 (cosh.f64 a) (sinh.f64 a))
(exp.f64 a)
a
(/.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (-.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))) (fma.f64 (exp.f64 b) (exp.f64 b) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (*.f64 (exp.f64 b) (exp.f64 a)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (exp.f64 (+.f64 a b))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64))) (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (exp.f64 (+.f64 a b)))))
(-.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b))))
(+.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (exp.f64 (+.f64 a b))))) (/.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (exp.f64 (+.f64 a b))))))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 a) (exp.f64 b))
(/.f64 (-.f64 (*.f64 (cosh.f64 b) (cosh.f64 b)) (*.f64 (sinh.f64 b) (sinh.f64 b))) (-.f64 (cosh.f64 b) (sinh.f64 b)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 b) #s(literal 3 binary64)) (pow.f64 (sinh.f64 b) #s(literal 3 binary64))) (fma.f64 (cosh.f64 b) (cosh.f64 b) (-.f64 (*.f64 (sinh.f64 b) (sinh.f64 b)) (*.f64 (cosh.f64 b) (sinh.f64 b)))))
(+.f64 (cosh.f64 b) (sinh.f64 b))
(exp.f64 b)
b
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (fma.f64 (-.f64 (+.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))) (*.f64 #s(literal 3/2 binary64) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64)))) a (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (fma.f64 (-.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 3/2 binary64) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -3 binary64)) (/.f64 #s(literal 1/6 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64))) (fma.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal 1/2 binary64) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -4 binary64))))) a (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))) (*.f64 #s(literal 3/2 binary64) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64)))) a (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) a (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))))
#s(approx (exp a) #s(literal 1 binary64))
#s(approx (exp a) (-.f64 a #s(literal -1 binary64)))
#s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
#s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
#s(approx a a)
#s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 b) #s(literal -1 binary64)))
#s(approx (+ (exp a) (exp b)) (-.f64 (+.f64 (exp.f64 b) a) #s(literal -1 binary64)))
#s(approx (+ (exp a) (exp b)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (exp.f64 b)) #s(literal -1 binary64)))
#s(approx (+ (exp a) (exp b)) (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a (exp.f64 b)) #s(literal -1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))))
#s(approx (exp a) (exp.f64 a))
#s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 b) (exp.f64 a)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (neg.f64 b) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (*.f64 (neg.f64 b) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))))) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))) b (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (neg.f64 b) (fma.f64 (/.f64 (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))))) (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))) (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/6 binary64))))) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))))) b) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))) b (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
#s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64)))
#s(approx (+ (exp a) (exp b)) (-.f64 (+.f64 (exp.f64 a) b) #s(literal -1 binary64)))
#s(approx (+ (exp a) (exp b)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (exp.f64 a)) #s(literal -1 binary64)))
#s(approx (+ (exp a) (exp b)) (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b (exp.f64 a)) #s(literal -1 binary64)))
#s(approx (exp b) #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 (0.2%)

Memory
11.6MiB live, 11.6MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 249 to 266 computations (78.7% saved)

prune3.0ms (0.1%)

Memory
4.1MiB live, 4.1MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New54357
Fresh000
Picked101
Done000
Total55358
Accuracy
99.7%
Counts
58 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.9%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
62.5%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (neg.f64 b) (fma.f64 (/.f64 (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))))) (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))) (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/6 binary64))))) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))))) b) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))) b (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
80.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))
Compiler

Compiled 123 to 54 computations (56.1% saved)

series219.0ms (6.2%)

Memory
-11.7MiB live, 278.9MiB allocated; 45ms collecting garbage
Counts
39 → 182
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))
(pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))
(-.f64 (exp.f64 b) #s(literal -1 binary64))
(exp.f64 b)
b
#s(literal -1 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (neg.f64 b) (fma.f64 (/.f64 (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))))) (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))) (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/6 binary64))))) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))))) b) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))) b (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
(fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (neg.f64 b) (fma.f64 (/.f64 (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))))) (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))) (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/6 binary64))))) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))))) b) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))) b (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(-.f64 (*.f64 (-.f64 (*.f64 (neg.f64 b) (fma.f64 (/.f64 (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))))) (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))) (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/6 binary64))))) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))))) b) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))))
(*.f64 (-.f64 (*.f64 (neg.f64 b) (fma.f64 (/.f64 (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))))) (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))) (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/6 binary64))))) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))))) b)
(-.f64 (*.f64 (neg.f64 b) (fma.f64 (/.f64 (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))))) (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))) (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/6 binary64))))) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))))))
(*.f64 (neg.f64 b) (fma.f64 (/.f64 (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))))) (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))) (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/6 binary64)))))
(neg.f64 b)
(fma.f64 (/.f64 (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))))) (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))) (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/6 binary64))))
(/.f64 (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))))) (-.f64 (exp.f64 a) #s(literal -1 binary64)))
(fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))))
(exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))
(-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))
a
(*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))
(log1p.f64 (exp.f64 a))
(exp.f64 a)
#s(literal 2 binary64)
#s(literal 1/2 binary64)
(neg.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))))
(exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))
(-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))
(*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))
#s(literal 3 binary64)
(-.f64 (exp.f64 a) #s(literal -1 binary64))
(fma.f64 #s(literal -1/2 binary64) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))) (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/6 binary64)))
#s(literal -1/2 binary64)
(*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))
#s(approx (exp b) #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (* b (- (* b (- (+ (exp (neg (* 3 (log 2)))) (* -1 (* b (+ (* -1/2 (exp (neg (* 3 (log 2))))) (+ (* -1/2 (- (* 1/2 (exp (neg (* 2 (log 2))))) (exp (neg (* 3 (log 2)))))) (* 1/6 (exp (neg (* 2 (log 2)))))))))) (* 1/2 (exp (neg (* 2 (log 2))))))) (exp (neg (* 2 (log 2)))))))))
#s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* a (+ 1/4 (* (pow b 2) (+ (* -1 (* b (+ (* -1 (- (* 1/4 (exp (neg (* 3 (log 2))))) (* 1/4 (- (* 1/2 (exp (neg (* 2 (log 2))))) (exp (neg (* 3 (log 2)))))))) (* 1/4 (exp (neg (* 3 (log 2)))))))) (* -1/2 (exp (neg (* 3 (log 2))))))))) (* b (- (* b (- (+ (exp (neg (* 3 (log 2)))) (* -1 (* b (+ (* -1/2 (exp (neg (* 3 (log 2))))) (+ (* -1/2 (- (* 1/2 (exp (neg (* 2 (log 2))))) (exp (neg (* 3 (log 2)))))) (* 1/6 (exp (neg (* 2 (log 2)))))))))) (* 1/2 (exp (neg (* 2 (log 2))))))) (exp (neg (* 2 (log 2))))))))))
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Calls

6 calls:

TimeVariablePointExpression
60.0ms
a
@inf
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54.0ms
b
@0
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36.0ms
a
@-inf
((/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (- (exp b) -1) (exp b) b -1 (/ (exp a) (+ (exp a) (exp b))) (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6))) (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (exp (- a (* (log (+ 1 (exp a))) 2))) (- a (* (log (+ 1 (exp a))) 2)) a (* (log (+ 1 (exp a))) 2) (log (+ 1 (exp a))) (exp a) 2 1/2 (neg (exp (- a (* (log (+ 1 (exp a))) 3)))) (exp (- a (* (log (+ 1 (exp a))) 3))) (- a (* (log (+ 1 (exp a))) 3)) (* (log (+ 1 (exp a))) 3) 3 (- (exp a) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)) -1/2 (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6) 1/6 (/ (exp a) (- (exp a) -1)) (/ (exp a) (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) 1)
26.0ms
b
@inf
((/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (- (exp b) -1) (exp b) b -1 (/ (exp a) (+ (exp a) (exp b))) (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6))) (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (exp (- a (* (log (+ 1 (exp a))) 2))) (- a (* (log (+ 1 (exp a))) 2)) a (* (log (+ 1 (exp a))) 2) (log (+ 1 (exp a))) (exp a) 2 1/2 (neg (exp (- a (* (log (+ 1 (exp a))) 3)))) (exp (- a (* (log (+ 1 (exp a))) 3))) (- a (* (log (+ 1 (exp a))) 3)) (* (log (+ 1 (exp a))) 3) 3 (- (exp a) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)) -1/2 (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6) 1/6 (/ (exp a) (- (exp a) -1)) (/ (exp a) (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) 1)
15.0ms
a
@0
((/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (- (exp b) -1) (exp b) b -1 (/ (exp a) (+ (exp a) (exp b))) (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6))) (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (exp (- a (* (log (+ 1 (exp a))) 2))) (- a (* (log (+ 1 (exp a))) 2)) a (* (log (+ 1 (exp a))) 2) (log (+ 1 (exp a))) (exp a) 2 1/2 (neg (exp (- a (* (log (+ 1 (exp a))) 3)))) (exp (- a (* (log (+ 1 (exp a))) 3))) (- a (* (log (+ 1 (exp a))) 3)) (* (log (+ 1 (exp a))) 3) 3 (- (exp a) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)) -1/2 (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6) 1/6 (/ (exp a) (- (exp a) -1)) (/ (exp a) (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) 1)

rewrite228.0ms (6.5%)

Memory
13.9MiB live, 244.4MiB allocated; 22ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088215379
095113304
1601110469
0892710210
Stop Event
iter-limit
node-limit
iter-limit
Counts
221 → 315
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))
(pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))
(-.f64 (exp.f64 b) #s(literal -1 binary64))
(exp.f64 b)
b
#s(literal -1 binary64)
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a
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#s(approx (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) #s(hole binary64 (- (exp (- a (* 3 (log (+ 1 (exp a)))))) (* 1/2 (exp (- a (* 2 (log (+ 1 (exp a))))))))))
#s(approx (neg b) #s(hole binary64 (* -1 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 (pow (- (exp b) -1) -1) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 1 (exp b))))
#s(approx (exp b) #s(hole binary64 (exp b)))
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#s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* (pow b 3) (- (+ (* -1 (+ (* -1 (/ (- (* 1/2 (exp (- a (* 2 (log (+ 1 (exp a))))))) (exp (- a (* 3 (log (+ 1 (exp a))))))) (+ 1 (exp a)))) (+ (* -1/2 (exp (- a (* 3 (log (+ 1 (exp a))))))) (* 1/6 (exp (- a (* 2 (log (+ 1 (exp a)))))))))) (+ (/ (exp a) (* (pow b 3) (+ 1 (exp a)))) (/ (exp (- a (* 3 (log (+ 1 (exp a)))))) b))) (+ (* 1/2 (/ (exp (- a (* 2 (log (+ 1 (exp a)))))) b)) (/ (exp (- a (* 2 (log (+ 1 (exp a)))))) (pow b 2)))))))
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Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -1 binary64))) (sinh.f64 (*.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 (exp.f64 b) (exp.f64 b)) #s(literal 1 binary64)) (+.f64 (exp.f64 b) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (exp.f64 b) (exp.f64 b) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) #s(literal -1 binary64)))))
(-.f64 (exp.f64 b) #s(literal -1 binary64))
(+.f64 (cosh.f64 b) (sinh.f64 b))
(exp.f64 b)
b
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#s(approx a a)
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#s(approx (neg (exp (- a (* (log (+ 1 (exp a))) 3)))) #s(literal -1/8 binary64))
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#s(approx (- a (* (log (+ 1 (exp a))) 3)) a)
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#s(approx (- (exp a) -1) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
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#s(approx (exp (- a (* (log (+ 1 (exp a))) 3))) (exp.f64 (neg.f64 (fma.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64) (neg.f64 a)))))
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#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (neg.f64 b) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (*.f64 (neg.f64 b) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))))) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))) b (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
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#s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64))
#s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
#s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))
#s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))
#s(approx (- (exp b) -1) #s(literal 2 binary64))
#s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))
#s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
#s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
#s(approx (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)
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#s(approx (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) (-.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))) (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
#s(approx (neg b) (neg.f64 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 (pow (- (exp b) -1) -1) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)))
#s(approx (- (exp b) -1) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
#s(approx (exp b) (exp.f64 b))
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#s(approx (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (*.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1 binary64) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/6 binary64)))) #s(literal -1 binary64) (/.f64 (-.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))) (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) b)) (*.f64 b b)))
#s(approx (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (*.f64 (-.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1 binary64) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/6 binary64)))) #s(literal -1 binary64) (fma.f64 (/.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (*.f64 b b)) #s(literal -1 binary64) (/.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))) b))) (*.f64 (/.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) b) #s(literal 1/2 binary64))) (*.f64 b b)))
#s(approx (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1 binary64) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/6 binary64)))) (*.f64 b b))))
#s(approx (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (*.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1 binary64) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/6 binary64)))) #s(literal -1 binary64) (/.f64 (-.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))) (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) b)) (*.f64 b b)))
#s(approx (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (-.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1 binary64) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/6 binary64))))))
#s(approx (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) (*.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1 binary64) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/6 binary64)))) #s(literal -1 binary64) (/.f64 (-.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))) (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) b)) b))
#s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))) (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) b) #s(literal -1 binary64) (fma.f64 (/.f64 (-.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1 binary64) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/6 binary64))))) (pow.f64 b #s(literal 3 binary64)))))
#s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1 binary64) (fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) b) #s(literal -1 binary64) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))) (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) b) #s(literal -1 binary64) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/6 binary64))))) (pow.f64 b #s(literal 3 binary64)))))
#s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) (neg.f64 (*.f64 (+.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (/.f64 (exp.f64 a) b) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))) b) #s(literal -1 binary64) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))) (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) b) #s(literal -1 binary64) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/6 binary64)))) (neg.f64 (/.f64 (-.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (pow.f64 b #s(literal 3 binary64)))))
#s(approx (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) (*.f64 (fma.f64 (/.f64 (fma.f64 (-.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))) (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(literal -1 binary64) (/.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) b)) b) #s(literal -1 binary64) (neg.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1 binary64) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/6 binary64)))))) (*.f64 b b)))
#s(approx (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (-.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))) (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) b) #s(literal -1 binary64) (fma.f64 (/.f64 (-.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1 binary64) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/6 binary64)))))))

eval141.0ms (4%)

Memory
-15.8MiB live, 316.2MiB allocated; 33ms collecting garbage
Compiler

Compiled 63 171 to 4 486 computations (92.9% saved)

prune14.0ms (0.4%)

Memory
41.0MiB live, 41.0MiB allocated; 0ms collecting garbage
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New5867593
Fresh000
Picked123
Done000
Total5879596
Accuracy
99.7%
Counts
596 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.9%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
64.9%
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
80.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))
36.2%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64)))
80.3%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64))))
35.3%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
36.2%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
38.9%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64)))
32.3%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) (neg.f64 (*.f64 (+.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (/.f64 (exp.f64 a) b) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))) b) #s(literal -1 binary64) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))) (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) b) #s(literal -1 binary64) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/6 binary64)))) (neg.f64 (/.f64 (-.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (pow.f64 b #s(literal 3 binary64))))))
Compiler

Compiled 687 to 333 computations (51.5% saved)

series24.0ms (0.7%)

Memory
-31.7MiB live, 15.3MiB allocated; 2ms collecting garbage
Counts
27 → 59
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(-.f64 (exp.f64 b) #s(literal -1 binary64))
(exp.f64 b)
b
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64)))
#s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
#s(literal -1/4 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64)))
(pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64))
#s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))
(+.f64 #s(literal 2 binary64) b)
#s(literal 2 binary64)
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
(exp.f64 a)
a
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))
#s(approx (exp a) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (exp b) #s(literal 1 binary64))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (exp a) #s(hole binary64 1))
#s(approx (exp a) #s(hole binary64 (+ 1 a)))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx a #s(hole binary64 a))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ (exp a) (exp b)))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (* (pow (- (exp b) -1) -1/2) (pow (- (exp b) -1) -1/2)) #s(hole binary64 1/2))
#s(approx (* (pow (- (exp b) -1) -1/2) (pow (- (exp b) -1) -1/2)) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (* (pow (- (exp b) -1) -1/2) (pow (- (exp b) -1) -1/2)) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (* (pow (- (exp b) -1) -1/2) (pow (- (exp b) -1) -1/2)) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))))
#s(approx (pow (- (exp b) -1) -1/2) #s(hole binary64 (sqrt 1/2)))
#s(approx (pow (- (exp b) -1) -1/2) #s(hole binary64 (+ (sqrt 1/2) (* -1/8 (/ b (sqrt 1/2))))))
#s(approx (pow (- (exp b) -1) -1/2) #s(hole binary64 (+ (sqrt 1/2) (* b (- (* -1/128 (/ b (pow (sqrt 1/2) 3))) (* 1/8 (/ 1 (sqrt 1/2))))))))
#s(approx (pow (- (exp b) -1) -1/2) #s(hole binary64 (+ (sqrt 1/2) (* b (- (* b (- (* 1/2 (/ (* b (- 1/48 (* 1/512 (/ 1 (pow (sqrt 1/2) 4))))) (sqrt 1/2))) (* 1/128 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/8 (/ 1 (sqrt 1/2))))))))
#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 (pow (- (exp b) -1) -1) #s(hole binary64 1/2))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (+ 2 b) #s(hole binary64 2))
#s(approx (+ 2 b) #s(hole binary64 (+ 2 b)))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (* (pow (- (exp b) -1) -1/2) (pow (- (exp b) -1) -1/2)) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (pow (- (exp b) -1) -1/2) #s(hole binary64 (sqrt (/ 1 (+ 1 (exp b))))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 1 (exp b))))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (* -1/4 b)))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (* b (- (* 1/2 (/ 1 b)) 1/4))))
#s(approx (+ 2 b) #s(hole binary64 b))
#s(approx (+ 2 b) #s(hole binary64 (* b (+ 1 (* 2 (/ 1 b))))))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))))
Calls

6 calls:

TimeVariablePointExpression
16.0ms
b
@0
((/ (exp a) (+ (exp a) (exp b))) (* (pow (- (exp b) -1) -1/2) (pow (- (exp b) -1) -1/2)) (pow (- (exp b) -1) -1/2) (- (exp b) -1) (exp b) b -1 -1/2 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) 1/2 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (+ (* -1/4 b) 1/2) -1/4 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (- (exp b) -1) (+ 2 b) 2 (/ (exp a) (+ (exp a) (exp b))) (exp a) a (+ (exp a) (exp b)) (exp a) 1 (exp b))
2.0ms
b
@inf
((/ (exp a) (+ (exp a) (exp b))) (* (pow (- (exp b) -1) -1/2) (pow (- (exp b) -1) -1/2)) (pow (- (exp b) -1) -1/2) (- (exp b) -1) (exp b) b -1 -1/2 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) 1/2 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (+ (* -1/4 b) 1/2) -1/4 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (- (exp b) -1) (+ 2 b) 2 (/ (exp a) (+ (exp a) (exp b))) (exp a) a (+ (exp a) (exp b)) (exp a) 1 (exp b))
2.0ms
b
@-inf
((/ (exp a) (+ (exp a) (exp b))) (* (pow (- (exp b) -1) -1/2) (pow (- (exp b) -1) -1/2)) (pow (- (exp b) -1) -1/2) (- (exp b) -1) (exp b) b -1 -1/2 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) 1/2 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (+ (* -1/4 b) 1/2) -1/4 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (- (exp b) -1) (+ 2 b) 2 (/ (exp a) (+ (exp a) (exp b))) (exp a) a (+ (exp a) (exp b)) (exp a) 1 (exp b))
1.0ms
a
@inf
((/ (exp a) (+ (exp a) (exp b))) (* (pow (- (exp b) -1) -1/2) (pow (- (exp b) -1) -1/2)) (pow (- (exp b) -1) -1/2) (- (exp b) -1) (exp b) b -1 -1/2 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) 1/2 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (+ (* -1/4 b) 1/2) -1/4 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (- (exp b) -1) (+ 2 b) 2 (/ (exp a) (+ (exp a) (exp b))) (exp a) a (+ (exp a) (exp b)) (exp a) 1 (exp b))
1.0ms
a
@-inf
((/ (exp a) (+ (exp a) (exp b))) (* (pow (- (exp b) -1) -1/2) (pow (- (exp b) -1) -1/2)) (pow (- (exp b) -1) -1/2) (- (exp b) -1) (exp b) b -1 -1/2 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) 1/2 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (+ (* -1/4 b) 1/2) -1/4 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (- (exp b) -1) (+ 2 b) 2 (/ (exp a) (+ (exp a) (exp b))) (exp a) a (+ (exp a) (exp b)) (exp a) 1 (exp b))

rewrite215.0ms (6.1%)

Memory
28.5MiB live, 275.5MiB allocated; 92ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02621334
02751221
115531207
088421148
Stop Event
iter-limit
node-limit
iter-limit
Counts
86 → 177
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(-.f64 (exp.f64 b) #s(literal -1 binary64))
(exp.f64 b)
b
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64)))
#s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
#s(literal -1/4 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64)))
(pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64))
#s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))
(+.f64 #s(literal 2 binary64) b)
#s(literal 2 binary64)
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
(exp.f64 a)
a
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))
#s(approx (exp a) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (exp b) #s(literal 1 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (exp a) #s(hole binary64 1))
#s(approx (exp a) #s(hole binary64 (+ 1 a)))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx a #s(hole binary64 a))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ (exp a) (exp b)))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (* (pow (- (exp b) -1) -1/2) (pow (- (exp b) -1) -1/2)) #s(hole binary64 1/2))
#s(approx (* (pow (- (exp b) -1) -1/2) (pow (- (exp b) -1) -1/2)) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (* (pow (- (exp b) -1) -1/2) (pow (- (exp b) -1) -1/2)) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (* (pow (- (exp b) -1) -1/2) (pow (- (exp b) -1) -1/2)) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))))
#s(approx (pow (- (exp b) -1) -1/2) #s(hole binary64 (sqrt 1/2)))
#s(approx (pow (- (exp b) -1) -1/2) #s(hole binary64 (+ (sqrt 1/2) (* -1/8 (/ b (sqrt 1/2))))))
#s(approx (pow (- (exp b) -1) -1/2) #s(hole binary64 (+ (sqrt 1/2) (* b (- (* -1/128 (/ b (pow (sqrt 1/2) 3))) (* 1/8 (/ 1 (sqrt 1/2))))))))
#s(approx (pow (- (exp b) -1) -1/2) #s(hole binary64 (+ (sqrt 1/2) (* b (- (* b (- (* 1/2 (/ (* b (- 1/48 (* 1/512 (/ 1 (pow (sqrt 1/2) 4))))) (sqrt 1/2))) (* 1/128 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/8 (/ 1 (sqrt 1/2))))))))
#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 (pow (- (exp b) -1) -1) #s(hole binary64 1/2))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (+ 2 b) #s(hole binary64 2))
#s(approx (+ 2 b) #s(hole binary64 (+ 2 b)))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (* (pow (- (exp b) -1) -1/2) (pow (- (exp b) -1) -1/2)) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (pow (- (exp b) -1) -1/2) #s(hole binary64 (sqrt (/ 1 (+ 1 (exp b))))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 1 (exp b))))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (* -1/4 b)))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (* b (- (* 1/2 (/ 1 b)) 1/4))))
#s(approx (+ 2 b) #s(hole binary64 b))
#s(approx (+ 2 b) #s(hole binary64 (* b (+ 1 (* 2 (/ 1 b))))))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)))) (neg.f64 (neg.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)))))
(*.f64 (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(pow.f64 (exp.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)))) #s(literal -1 binary64))
(pow.f64 (neg.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
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#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (fma.f64 (-.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (*.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))) a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (fma.f64 (-.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -3 binary64)) (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (fma.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -4 binary64))))) a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (*.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))) a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 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) (+ (exp a) (exp b))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))))
#s(approx (exp a) (exp.f64 a))
#s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 b) (exp.f64 a)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (*.f64 b (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))) #s(literal -1 binary64) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))))) b)) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))) b (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))))) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1 binary64) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/6 binary64) (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))) #s(literal -1/2 binary64)))) b)) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))))) b) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))) b (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64))
#s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
#s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))
#s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))
#s(approx (pow (- (exp b) -1) -1/2) (sqrt.f64 #s(literal 1/2 binary64)))
#s(approx (pow (- (exp b) -1) -1/2) (fma.f64 (/.f64 b (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (pow (- (exp b) -1) -1/2) (fma.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 b (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 2 binary64)))) b (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (pow (- (exp b) -1) -1/2) (fma.f64 (fma.f64 (fma.f64 (*.f64 b (/.f64 #s(literal 5/384 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/128 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal -3/2 binary64)))) b (*.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 2 binary64)))) b (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- (exp b) -1) #s(literal 2 binary64))
#s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))
#s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
#s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
#s(approx (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 (pow (- (exp b) -1) -1) #s(literal 1/2 binary64))
#s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
#s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))
#s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))
#s(approx (+ (* -1/4 b) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* -1/4 b) 1/2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
#s(approx (+ 2 b) #s(literal 2 binary64))
#s(approx (+ 2 b) (+.f64 #s(literal 2 binary64) b))
#s(approx (+ (exp a) (exp b)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
#s(approx (+ (exp a) (exp b)) (+.f64 (+.f64 b (exp.f64 a)) #s(literal 1 binary64)))
#s(approx (+ (exp a) (exp b)) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (exp.f64 a)) #s(literal 1 binary64)))
#s(approx (+ (exp a) (exp b)) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b (exp.f64 a)) #s(literal 1 binary64)))
#s(approx (pow (- (exp b) -1) -1) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)))
#s(approx (pow (- (exp b) -1) -1/2) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)))
#s(approx (- (exp b) -1) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
#s(approx (exp b) (exp.f64 b))
#s(approx (pow (- (exp b) -1) -1) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)))
#s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))
#s(approx (+ (* -1/4 b) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/4 binary64)) b))
#s(approx (+ 2 b) b)
#s(approx (+ 2 b) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) #s(literal 1 binary64)) b))
#s(approx (+ (* -1/4 b) 1/2) (neg.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) b)) b)))

eval22.0ms (0.6%)

Memory
-12.5MiB live, 49.5MiB allocated; 4ms collecting garbage
Compiler

Compiled 4 929 to 770 computations (84.4% saved)

prune10.0ms (0.3%)

Memory
-23.2MiB live, 22.8MiB allocated; 3ms collecting garbage
Pruning

11 alts after pruning (5 fresh and 6 done)

PrunedKeptTotal
New1714175
Fresh112
Picked145
Done022
Total17311184
Accuracy
99.7%
Counts
184 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.9%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
64.9%
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
80.3%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
35.2%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
80.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))
36.2%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64)))
3.3%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (- (exp b) -1) #s(approx (+ 2 b) b)) #s(literal -1 binary64)))
36.2%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
4.2%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
38.9%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64)))
32.3%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) (neg.f64 (*.f64 (+.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (/.f64 (exp.f64 a) b) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))) b) #s(literal -1 binary64) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))) (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) b) #s(literal -1 binary64) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/6 binary64)))) (neg.f64 (/.f64 (-.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (pow.f64 b #s(literal 3 binary64))))))
Compiler

Compiled 691 to 345 computations (50.1% saved)

series107.0ms (3%)

Memory
5.5MiB live, 241.5MiB allocated; 18ms collecting garbage
Counts
58 → 294
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(-.f64 (exp.f64 b) #s(literal -1 binary64))
(exp.f64 b)
b
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal 2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b)))
#s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))
(*.f64 #s(literal -1/4 binary64) b)
#s(literal -1/4 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (- (exp b) -1) #s(approx (+ 2 b) b)) #s(literal -1 binary64)))
(pow.f64 #s(approx (- (exp b) -1) #s(approx (+ 2 b) b)) #s(literal -1 binary64))
#s(approx (- (exp b) -1) #s(approx (+ 2 b) b))
#s(approx (+ 2 b) b)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1/2 binary64))
#s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))
(+.f64 #s(literal 2 binary64) b)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) (neg.f64 (*.f64 (+.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (/.f64 (exp.f64 a) b) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))) b) #s(literal -1 binary64) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))) (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) b) #s(literal -1 binary64) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/6 binary64)))) (neg.f64 (/.f64 (-.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (pow.f64 b #s(literal 3 binary64))))))
#s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) (neg.f64 (*.f64 (+.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (/.f64 (exp.f64 a) b) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))) b) #s(literal -1 binary64) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))) (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) b) #s(literal -1 binary64) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/6 binary64)))) (neg.f64 (/.f64 (-.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (pow.f64 b #s(literal 3 binary64)))))
(neg.f64 (*.f64 (+.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (/.f64 (exp.f64 a) b) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))) b) #s(literal -1 binary64) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))) (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) b) #s(literal -1 binary64) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/6 binary64)))) (neg.f64 (/.f64 (-.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (pow.f64 b #s(literal 3 binary64))))
(*.f64 (+.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (/.f64 (exp.f64 a) b) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))) b) #s(literal -1 binary64) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))) (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) b) #s(literal -1 binary64) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/6 binary64)))) (neg.f64 (/.f64 (-.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (pow.f64 b #s(literal 3 binary64)))
(+.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (/.f64 (exp.f64 a) b) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))) b) #s(literal -1 binary64) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))) (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) b) #s(literal -1 binary64) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/6 binary64)))) (neg.f64 (/.f64 (-.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (/.f64 (exp.f64 a) b) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))) b) #s(literal -1 binary64) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))) (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) b) #s(literal -1 binary64) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/6 binary64))))
(/.f64 (-.f64 (fma.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (/.f64 (exp.f64 a) b) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))) b) #s(literal -1 binary64) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))) (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) b)
(-.f64 (fma.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (/.f64 (exp.f64 a) b) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))) b) #s(literal -1 binary64) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))) (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (/.f64 (exp.f64 a) b) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))) b) #s(literal -1 binary64) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))))
(/.f64 (+.f64 (neg.f64 (/.f64 (/.f64 (exp.f64 a) b) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))) b)
(+.f64 (neg.f64 (/.f64 (/.f64 (exp.f64 a) b) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (/.f64 (exp.f64 a) b) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/.f64 (/.f64 (exp.f64 a) b) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/.f64 (exp.f64 a) b)
(exp.f64 a)
a
(+.f64 #s(literal 1 binary64) (exp.f64 a))
#s(literal 1 binary64)
(exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))
(-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))
(*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))
(log1p.f64 (exp.f64 a))
(exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))
(-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))
(*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/6 binary64)))
(*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(neg.f64 (/.f64 (-.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/.f64 (-.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(-.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))))
(pow.f64 b #s(literal 3 binary64))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (* b (- (* b (- (+ (exp (neg (* 3 (log 2)))) (* -1 (* b (+ (* -1/2 (exp (neg (* 3 (log 2))))) (+ (* -1/2 (- (* 1/2 (exp (neg (* 2 (log 2))))) (exp (neg (* 3 (log 2)))))) (* 1/6 (exp (neg (* 2 (log 2)))))))))) (* 1/2 (exp (neg (* 2 (log 2))))))) (exp (neg (* 2 (log 2)))))))))
#s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* a (+ 1/4 (* (pow b 2) (+ (* -1 (* b (+ (* -1 (- (* 1/4 (exp (neg (* 3 (log 2))))) (* 1/4 (- (* 1/2 (exp (neg (* 2 (log 2))))) (exp (neg (* 3 (log 2)))))))) (* 1/4 (exp (neg (* 3 (log 2)))))))) (* -1/2 (exp (neg (* 3 (log 2))))))))) (* b (- (* b (- (+ (exp (neg (* 3 (log 2)))) (* -1 (* b (+ (* -1/2 (exp (neg (* 3 (log 2))))) (+ (* -1/2 (- (* 1/2 (exp (neg (* 2 (log 2))))) (exp (neg (* 3 (log 2)))))) (* 1/6 (exp (neg (* 2 (log 2)))))))))) (* 1/2 (exp (neg (* 2 (log 2))))))) (exp (neg (* 2 (log 2))))))))))
#s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* a (+ 1/4 (+ (* a (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (- (* 1/2 (- (* -1/8 (exp (neg (* 2 (log 2))))) (* -1/4 (exp (neg (* 3 (log 2))))))) (+ (* 1/8 (- (* 1/2 (exp (neg (* 2 (log 2))))) (exp (neg (* 3 (log 2)))))) (* 1/2 (- (* 1/4 (exp (neg (* 3 (log 2))))) (* 1/4 (- (* 1/2 (exp (neg (* 2 (log 2))))) (exp (neg (* 3 (log 2))))))))))) (+ (* -1/24 (exp (neg (* 2 (log 2))))) (* 1/8 (exp (neg (* 3 (log 2))))))))) (* -1/4 (exp (neg (* 3 (log 2)))))) (* -1/8 (exp (neg (* 2 (log 2))))))) (* -1/4 (exp (neg (* 2 (log 2)))))))) (* (pow b 2) (+ (* -1 (* b (+ (* -1 (- (* 1/4 (exp (neg (* 3 (log 2))))) (* 1/4 (- (* 1/2 (exp (neg (* 2 (log 2))))) (exp (neg (* 3 (log 2)))))))) (* 1/4 (exp (neg (* 3 (log 2)))))))) (* -1/2 (exp (neg (* 3 (log 2)))))))))) (* b (- (* b (- (+ (exp (neg (* 3 (log 2)))) (* -1 (* b (+ (* -1/2 (exp (neg (* 3 (log 2))))) (+ (* -1/2 (- (* 1/2 (exp (neg (* 2 (log 2))))) (exp (neg (* 3 (log 2)))))) (* 1/6 (exp (neg (* 2 (log 2)))))))))) (* 1/2 (exp (neg (* 2 (log 2))))))) (exp (neg (* 2 (log 2))))))))))
#s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* a (+ 1/4 (+ (* a (+ (* a (- (* (pow b 2) (+ (* -1 (* b (+ (* -1 (- (* -1/12 (exp (neg (* 3 (log 2))))) (+ (* 1/24 (- (* 1/2 (exp (neg (* 2 (log 2))))) (exp (neg (* 3 (log 2)))))) (+ (* 1/4 (- (* 1/4 (exp (neg (* 3 (log 2))))) (* 1/4 (- (* 1/2 (exp (neg (* 2 (log 2))))) (exp (neg (* 3 (log 2)))))))) (* 1/2 (- (* 1/2 (- (* -1/8 (exp (neg (* 2 (log 2))))) (* -1/4 (exp (neg (* 3 (log 2))))))) (+ (* 1/8 (- (* 1/2 (exp (neg (* 2 (log 2))))) (exp (neg (* 3 (log 2)))))) (* 1/2 (- (* 1/4 (exp (neg (* 3 (log 2))))) (* 1/4 (- (* 1/2 (exp (neg (* 2 (log 2))))) (exp (neg (* 3 (log 2))))))))))))))) (* -1/12 (exp (neg (* 3 (log 2)))))))) (* 1/6 (exp (neg (* 3 (log 2))))))) 1/48)) (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (- (* 1/2 (- (* -1/8 (exp (neg (* 2 (log 2))))) (* -1/4 (exp (neg (* 3 (log 2))))))) (+ (* 1/8 (- (* 1/2 (exp (neg (* 2 (log 2))))) (exp (neg (* 3 (log 2)))))) (* 1/2 (- (* 1/4 (exp (neg (* 3 (log 2))))) (* 1/4 (- (* 1/2 (exp (neg (* 2 (log 2))))) (exp (neg (* 3 (log 2))))))))))) (+ (* -1/24 (exp (neg (* 2 (log 2))))) (* 1/8 (exp (neg (* 3 (log 2))))))))) (* -1/4 (exp (neg (* 3 (log 2)))))) (* -1/8 (exp (neg (* 2 (log 2))))))) (* -1/4 (exp (neg (* 2 (log 2))))))))) (* (pow b 2) (+ (* -1 (* b (+ (* -1 (- (* 1/4 (exp (neg (* 3 (log 2))))) (* 1/4 (- (* 1/2 (exp (neg (* 2 (log 2))))) (exp (neg (* 3 (log 2)))))))) (* 1/4 (exp (neg (* 3 (log 2)))))))) (* -1/2 (exp (neg (* 3 (log 2)))))))))) (* b (- (* b (- (+ (exp (neg (* 3 (log 2)))) (* -1 (* b (+ (* -1/2 (exp (neg (* 3 (log 2))))) (+ (* -1/2 (- (* 1/2 (exp (neg (* 2 (log 2))))) (exp (neg (* 3 (log 2)))))) (* 1/6 (exp (neg (* 2 (log 2)))))))))) (* 1/2 (exp (neg (* 2 (log 2))))))) (exp (neg (* 2 (log 2))))))))))
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Calls

6 calls:

TimeVariablePointExpression
23.0ms
a
@-inf
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20.0ms
a
@inf
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14.0ms
a
@0
((/ (exp a) (+ (exp a) (exp b))) (pow (pow (- (exp b) -1) -1/2) 2) (pow (- (exp b) -1) -1/2) (- (exp b) -1) (exp b) b -1 -1/2 2 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (+ (* -1/4 b) 1/2) (* -1/4 b) -1/4 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (- (exp b) -1) (+ 2 b) (/ (exp a) (+ (exp a) (exp b))) (pow (pow (- (exp b) -1) -1/2) 2) (pow (- (exp b) -1) -1/2) (- (exp b) -1) (+ 2 b) (/ (exp a) (+ (exp a) (exp b))) (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) (neg (* (+ (+ (* (/ (- (+ (* (/ (+ (neg (/ (/ (exp a) b) (+ 1 (exp a)))) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) -1) (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2)) b) -1) (+ (* (exp (- a (* (log (+ 1 (exp a))) 3))) -1/2) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6))) (neg (/ (- (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (exp (- a (* (log (+ 1 (exp a))) 3)))) (+ 1 (exp a))))) (pow b 3))) (* (+ (+ (* (/ (- (+ (* (/ (+ (neg (/ (/ (exp a) b) (+ 1 (exp a)))) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) -1) (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2)) b) -1) (+ (* (exp (- a (* (log (+ 1 (exp a))) 3))) -1/2) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6))) (neg (/ (- (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (exp (- a (* (log (+ 1 (exp a))) 3)))) (+ 1 (exp a))))) (pow b 3)) (+ (+ (* (/ (- (+ (* (/ (+ (neg (/ (/ (exp a) b) (+ 1 (exp a)))) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) -1) (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2)) b) -1) (+ (* (exp (- a (* (log (+ 1 (exp a))) 3))) -1/2) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6))) (neg (/ (- (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (exp (- a (* (log (+ 1 (exp a))) 3)))) (+ 1 (exp a))))) (+ (* (/ (- (+ (* (/ (+ (neg (/ (/ (exp a) b) (+ 1 (exp a)))) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) -1) (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2)) b) -1) (+ (* (exp (- a (* (log (+ 1 (exp a))) 3))) -1/2) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6))) (/ (- (+ (* (/ (+ (neg (/ (/ (exp a) b) (+ 1 (exp a)))) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) -1) (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2)) b) (- (+ (* (/ (+ (neg (/ (/ (exp a) b) (+ 1 (exp a)))) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) -1) (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2)) (+ (* (/ (+ (neg (/ (/ (exp a) b) (+ 1 (exp a)))) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) -1) (exp (- a (* (log (+ 1 (exp a))) 3)))) (/ (+ (neg (/ (/ (exp a) b) (+ 1 (exp a)))) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (+ (neg (/ (/ (exp a) b) (+ 1 (exp a)))) (exp (- a (* (log (+ 1 (exp a))) 2)))) (neg (/ (/ (exp a) b) (+ 1 (exp a)))) (/ (/ (exp a) b) (+ 1 (exp a))) (/ (exp a) b) (exp a) a (+ 1 (exp a)) 1 (exp (- a (* (log (+ 1 (exp a))) 2))) (- a (* (log (+ 1 (exp a))) 2)) (* (log (+ 1 (exp a))) 2) (log (+ 1 (exp a))) (exp (- a (* (log (+ 1 (exp a))) 3))) (- a (* (log (+ 1 (exp a))) 3)) (* (log (+ 1 (exp a))) 3) 3 (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) 1/2 (+ (* (exp (- a (* (log (+ 1 (exp a))) 3))) -1/2) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6) 1/6 (neg (/ (- (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (exp (- a (* (log (+ 1 (exp a))) 3)))) (+ 1 (exp a)))) (/ (- (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (exp (- a (* (log (+ 1 (exp a))) 3)))) (+ 1 (exp a))) (- (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (exp (- a (* (log (+ 1 (exp a))) 3)))) (pow b 3))
10.0ms
b
@inf
((/ (exp a) (+ (exp a) (exp b))) (pow (pow (- (exp b) -1) -1/2) 2) (pow (- (exp b) -1) -1/2) (- (exp b) -1) (exp b) b -1 -1/2 2 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (+ (* -1/4 b) 1/2) (* -1/4 b) -1/4 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (- (exp b) -1) (+ 2 b) (/ (exp a) (+ (exp a) (exp b))) (pow (pow (- (exp b) -1) -1/2) 2) (pow (- (exp b) -1) -1/2) (- (exp b) -1) (+ 2 b) (/ (exp a) (+ (exp a) (exp b))) (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) (neg (* (+ (+ (* (/ (- (+ (* (/ (+ (neg (/ (/ (exp a) b) (+ 1 (exp a)))) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) -1) (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2)) b) -1) (+ (* (exp (- a (* (log (+ 1 (exp a))) 3))) -1/2) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6))) (neg (/ (- (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (exp (- a (* (log (+ 1 (exp a))) 3)))) (+ 1 (exp a))))) (pow b 3))) (* (+ (+ (* (/ (- (+ (* (/ (+ (neg (/ (/ (exp a) b) (+ 1 (exp a)))) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) -1) (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2)) b) -1) (+ (* (exp (- a (* (log (+ 1 (exp a))) 3))) -1/2) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6))) (neg (/ (- (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (exp (- a (* (log (+ 1 (exp a))) 3)))) (+ 1 (exp a))))) (pow b 3)) (+ (+ (* (/ (- (+ (* (/ (+ (neg (/ (/ (exp a) b) (+ 1 (exp a)))) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) -1) (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2)) b) -1) (+ (* (exp (- a (* (log (+ 1 (exp a))) 3))) -1/2) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6))) (neg (/ (- (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (exp (- a (* (log (+ 1 (exp a))) 3)))) (+ 1 (exp a))))) (+ (* (/ (- (+ (* (/ (+ (neg (/ (/ (exp a) b) (+ 1 (exp a)))) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) -1) (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2)) b) -1) (+ (* (exp (- a (* (log (+ 1 (exp a))) 3))) -1/2) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6))) (/ (- (+ (* (/ (+ (neg (/ (/ (exp a) b) (+ 1 (exp a)))) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) -1) (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2)) b) (- (+ (* (/ (+ (neg (/ (/ (exp a) b) (+ 1 (exp a)))) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) -1) (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2)) (+ (* (/ (+ (neg (/ (/ (exp a) b) (+ 1 (exp a)))) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) -1) (exp (- a (* (log (+ 1 (exp a))) 3)))) (/ (+ (neg (/ (/ (exp a) b) (+ 1 (exp a)))) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (+ (neg (/ (/ (exp a) b) (+ 1 (exp a)))) (exp (- a (* (log (+ 1 (exp a))) 2)))) (neg (/ (/ (exp a) b) (+ 1 (exp a)))) (/ (/ (exp a) b) (+ 1 (exp a))) (/ (exp a) b) (exp a) a (+ 1 (exp a)) 1 (exp (- a (* (log (+ 1 (exp a))) 2))) (- a (* (log (+ 1 (exp a))) 2)) (* (log (+ 1 (exp a))) 2) (log (+ 1 (exp a))) (exp (- a (* (log (+ 1 (exp a))) 3))) (- a (* (log (+ 1 (exp a))) 3)) (* (log (+ 1 (exp a))) 3) 3 (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) 1/2 (+ (* (exp (- a (* (log (+ 1 (exp a))) 3))) -1/2) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6) 1/6 (neg (/ (- (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (exp (- a (* (log (+ 1 (exp a))) 3)))) (+ 1 (exp a)))) (/ (- (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (exp (- a (* (log (+ 1 (exp a))) 3)))) (+ 1 (exp a))) (- (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (exp (- a (* (log (+ 1 (exp a))) 3)))) (pow b 3))
10.0ms
b
@-inf
((/ (exp a) (+ (exp a) (exp b))) (pow (pow (- (exp b) -1) -1/2) 2) (pow (- (exp b) -1) -1/2) (- (exp b) -1) (exp b) b -1 -1/2 2 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (+ (* -1/4 b) 1/2) (* -1/4 b) -1/4 (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (- (exp b) -1) (+ 2 b) (/ (exp a) (+ (exp a) (exp b))) (pow (pow (- (exp b) -1) -1/2) 2) (pow (- (exp b) -1) -1/2) (- (exp b) -1) (+ 2 b) (/ (exp a) (+ (exp a) (exp b))) (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) (neg (* (+ (+ (* (/ (- (+ (* (/ (+ (neg (/ (/ (exp a) b) (+ 1 (exp a)))) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) -1) (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2)) b) -1) (+ (* (exp (- a (* (log (+ 1 (exp a))) 3))) -1/2) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6))) (neg (/ (- (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (exp (- a (* (log (+ 1 (exp a))) 3)))) (+ 1 (exp a))))) (pow b 3))) (* (+ (+ (* (/ (- (+ (* (/ (+ (neg (/ (/ (exp a) b) (+ 1 (exp a)))) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) -1) (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2)) b) -1) (+ (* (exp (- a (* (log (+ 1 (exp a))) 3))) -1/2) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6))) (neg (/ (- (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (exp (- a (* (log (+ 1 (exp a))) 3)))) (+ 1 (exp a))))) (pow b 3)) (+ (+ (* (/ (- (+ (* (/ (+ (neg (/ (/ (exp a) b) (+ 1 (exp a)))) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) -1) (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2)) b) -1) (+ (* (exp (- a (* (log (+ 1 (exp a))) 3))) -1/2) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6))) (neg (/ (- (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (exp (- a (* (log (+ 1 (exp a))) 3)))) (+ 1 (exp a))))) (+ (* (/ (- (+ (* (/ (+ (neg (/ (/ (exp a) b) (+ 1 (exp a)))) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) -1) (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2)) b) -1) (+ (* (exp (- a (* (log (+ 1 (exp a))) 3))) -1/2) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6))) (/ (- (+ (* (/ (+ (neg (/ (/ (exp a) b) (+ 1 (exp a)))) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) -1) (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2)) b) (- (+ (* (/ (+ (neg (/ (/ (exp a) b) (+ 1 (exp a)))) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) -1) (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2)) (+ (* (/ (+ (neg (/ (/ (exp a) b) (+ 1 (exp a)))) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) -1) (exp (- a (* (log (+ 1 (exp a))) 3)))) (/ (+ (neg (/ (/ (exp a) b) (+ 1 (exp a)))) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (+ (neg (/ (/ (exp a) b) (+ 1 (exp a)))) (exp (- a (* (log (+ 1 (exp a))) 2)))) (neg (/ (/ (exp a) b) (+ 1 (exp a)))) (/ (/ (exp a) b) (+ 1 (exp a))) (/ (exp a) b) (exp a) a (+ 1 (exp a)) 1 (exp (- a (* (log (+ 1 (exp a))) 2))) (- a (* (log (+ 1 (exp a))) 2)) (* (log (+ 1 (exp a))) 2) (log (+ 1 (exp a))) (exp (- a (* (log (+ 1 (exp a))) 3))) (- a (* (log (+ 1 (exp a))) 3)) (* (log (+ 1 (exp a))) 3) 3 (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) 1/2 (+ (* (exp (- a (* (log (+ 1 (exp a))) 3))) -1/2) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6) 1/6 (neg (/ (- (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (exp (- a (* (log (+ 1 (exp a))) 3)))) (+ 1 (exp a)))) (/ (- (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (exp (- a (* (log (+ 1 (exp a))) 3)))) (+ 1 (exp a))) (- (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (exp (- a (* (log (+ 1 (exp a))) 3)))) (pow b 3))

rewrite225.0ms (6.4%)

Memory
8.3MiB live, 389.1MiB allocated; 26ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0142725641
0151223863
0820123149
Stop Event
iter-limit
node-limit
iter-limit
Counts
352 → 427
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(-.f64 (exp.f64 b) #s(literal -1 binary64))
(exp.f64 b)
b
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal 2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b)))
#s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))
(*.f64 #s(literal -1/4 binary64) b)
#s(literal -1/4 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (- (exp b) -1) #s(approx (+ 2 b) b)) #s(literal -1 binary64)))
(pow.f64 #s(approx (- (exp b) -1) #s(approx (+ 2 b) b)) #s(literal -1 binary64))
#s(approx (- (exp b) -1) #s(approx (+ 2 b) b))
#s(approx (+ 2 b) b)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1/2 binary64))
#s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))
(+.f64 #s(literal 2 binary64) b)
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Outputs
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b
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(/.f64 (/.f64 (exp.f64 a) b) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(neg.f64 (/.f64 (/.f64 (exp.f64 a) b) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/.f64 (neg.f64 (/.f64 (exp.f64 a) b)) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/.f64 (/.f64 (exp.f64 a) b) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/.f64 (neg.f64 (exp.f64 a)) (neg.f64 b))
(/.f64 (exp.f64 a) b)
(+.f64 (cosh.f64 a) (sinh.f64 a))
(exp.f64 a)
a
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) (exp.f64 a))) (-.f64 #s(literal 1 binary64) (exp.f64 a)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (exp.f64 a) (exp.f64 a)) (*.f64 #s(literal 1 binary64) (exp.f64 a)))))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
#s(literal 1 binary64)
(/.f64 (neg.f64 (exp.f64 a)) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))
(/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))
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(exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 a a) (*.f64 (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (+.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 a a (fma.f64 (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (*.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))))
(-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))
(+.f64 a (*.f64 (neg.f64 (log1p.f64 (exp.f64 a))) #s(literal 2 binary64)))
(*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/.f64 (neg.f64 (exp.f64 a)) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))))
(/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))
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(exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))
(/.f64 (-.f64 (*.f64 a a) (*.f64 (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))) (+.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))
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(-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))
(+.f64 a (*.f64 (neg.f64 (log1p.f64 (exp.f64 a))) #s(literal 3 binary64)))
(*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
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(fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/6 binary64)))
(-.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))) #s(literal -1/2 binary64)) (*.f64 (neg.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))) #s(literal 1/6 binary64)))
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(*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
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(/.f64 (neg.f64 (-.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))))
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(-.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))))
(*.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64)))
(*.f64 (*.f64 b b) b)
(*.f64 b (*.f64 b b))
(pow.f64 b #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 b) #s(literal 3 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 a (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))))
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#s(approx (neg (* (+ (+ (* (/ (- (+ (* (/ (+ (neg (/ (/ (exp a) b) (+ 1 (exp a)))) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) -1) (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2)) b) -1) (+ (* (exp (- a (* (log (+ 1 (exp a))) 3))) -1/2) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6))) (neg (/ (- (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (exp (- a (* (log (+ 1 (exp a))) 3)))) (+ 1 (exp a))))) (pow b 3))) (fma.f64 #s(literal -1 binary64) (*.f64 a (*.f64 (pow.f64 b #s(literal 3 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (log.f64 #s(literal 1/8 binary64))) b) (*.f64 #s(literal 1/4 binary64) (pow.f64 b #s(literal -3 binary64)))) (*.f64 #s(literal -1/4 binary64) (exp.f64 (log.f64 #s(literal 1/8 binary64))))) (*.f64 #s(literal -1/8 binary64) (exp.f64 (log.f64 #s(literal 1/4 binary64))))))) (*.f64 (neg.f64 (pow.f64 b #s(literal 3 binary64))) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (-.f64 (exp.f64 (log.f64 #s(literal 1/8 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 (log.f64 #s(literal 1/4 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal -1 binary64)))) b))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (log.f64 #s(literal 1/4 binary64))))) b) (fma.f64 #s(literal -1/2 binary64) (exp.f64 (log.f64 #s(literal 1/8 binary64))) (fma.f64 #s(literal 1/6 binary64) (exp.f64 (log.f64 #s(literal 1/4 binary64))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (log.f64 #s(literal 1/8 binary64))))))) (*.f64 #s(literal 1/4 binary64) (exp.f64 (log.f64 #s(literal 1/4 binary64))))))))
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#s(approx (- (+ (* (/ (+ (neg (/ (/ (exp a) b) (+ 1 (exp a)))) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) -1) (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2)) (-.f64 (-.f64 (exp.f64 (log.f64 #s(literal 1/8 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 (log.f64 #s(literal 1/4 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal -1 binary64)))) b))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (log.f64 #s(literal 1/4 binary64))))))
#s(approx (- (+ (* (/ (+ (neg (/ (/ (exp a) b) (+ 1 (exp a)))) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) -1) (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2)) (-.f64 (+.f64 (exp.f64 (log.f64 #s(literal 1/8 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (exp.f64 (log.f64 #s(literal 1/4 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal -1 binary64)))) b) (*.f64 a (fma.f64 #s(literal -1/2 binary64) (exp.f64 (log.f64 #s(literal 1/8 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 b #s(literal -2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (log.f64 #s(literal 1/4 binary64))))))
#s(approx (- (+ (* (/ (+ (neg (/ (/ (exp a) b) (+ 1 (exp a)))) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) -1) (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2)) (-.f64 (+.f64 (exp.f64 (log.f64 #s(literal 1/8 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (exp.f64 (log.f64 #s(literal 1/4 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal -1 binary64)))) b) (*.f64 a (fma.f64 #s(literal -1/2 binary64) (exp.f64 (log.f64 #s(literal 1/8 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 b #s(literal -2 binary64)) (*.f64 a (-.f64 (fma.f64 #s(literal -1/4 binary64) (exp.f64 (log.f64 #s(literal 1/8 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (exp.f64 (log.f64 #s(literal 1/4 binary64))) b))) (*.f64 #s(literal -1/8 binary64) (exp.f64 (log.f64 #s(literal 1/4 binary64))))))))))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (log.f64 #s(literal 1/4 binary64))))))
#s(approx (- (+ (* (/ (+ (neg (/ (/ (exp a) b) (+ 1 (exp a)))) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) -1) (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2)) (-.f64 (+.f64 (exp.f64 (log.f64 #s(literal 1/8 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (exp.f64 (log.f64 #s(literal 1/4 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal -1 binary64)))) b) (*.f64 a (fma.f64 #s(literal -1/2 binary64) (exp.f64 (log.f64 #s(literal 1/8 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 b #s(literal -2 binary64)) (*.f64 a (-.f64 (fma.f64 #s(literal -1/4 binary64) (exp.f64 (log.f64 #s(literal 1/8 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (exp.f64 (log.f64 #s(literal 1/4 binary64))) b) (*.f64 a (fma.f64 #s(literal 1/6 binary64) (exp.f64 (log.f64 #s(literal 1/8 binary64))) (*.f64 #s(literal -1/48 binary64) (pow.f64 b #s(literal -2 binary64))))))) (*.f64 #s(literal -1/8 binary64) (exp.f64 (log.f64 #s(literal 1/4 binary64))))))))))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (log.f64 #s(literal 1/4 binary64))))))
#s(approx (+ (* (/ (+ (neg (/ (/ (exp a) b) (+ 1 (exp a)))) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) -1) (exp (- a (* (log (+ 1 (exp a))) 3)))) (-.f64 (exp.f64 (log.f64 #s(literal 1/8 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 (log.f64 #s(literal 1/4 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal -1 binary64)))) b))))
#s(approx (+ (* (/ (+ (neg (/ (/ (exp a) b) (+ 1 (exp a)))) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) -1) (exp (- a (* (log (+ 1 (exp a))) 3)))) (+.f64 (exp.f64 (log.f64 #s(literal 1/8 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (exp.f64 (log.f64 #s(literal 1/4 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal -1 binary64)))) b) (*.f64 a (fma.f64 #s(literal -1/2 binary64) (exp.f64 (log.f64 #s(literal 1/8 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 b #s(literal -2 binary64))))))))
#s(approx (+ (* (/ (+ (neg (/ (/ (exp a) b) (+ 1 (exp a)))) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) -1) (exp (- a (* (log (+ 1 (exp a))) 3)))) (+.f64 (exp.f64 (log.f64 #s(literal 1/8 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (exp.f64 (log.f64 #s(literal 1/4 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal -1 binary64)))) b) (*.f64 a (fma.f64 #s(literal -1/2 binary64) (exp.f64 (log.f64 #s(literal 1/8 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 b #s(literal -2 binary64)) (*.f64 a (fma.f64 #s(literal -1/4 binary64) (exp.f64 (log.f64 #s(literal 1/8 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (exp.f64 (log.f64 #s(literal 1/4 binary64))) b))))))))))
#s(approx (+ (* (/ (+ (neg (/ (/ (exp a) b) (+ 1 (exp a)))) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) -1) (exp (- a (* (log (+ 1 (exp a))) 3)))) (+.f64 (exp.f64 (log.f64 #s(literal 1/8 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (exp.f64 (log.f64 #s(literal 1/4 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal -1 binary64)))) b) (*.f64 a (fma.f64 #s(literal -1/2 binary64) (exp.f64 (log.f64 #s(literal 1/8 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 b #s(literal -2 binary64)) (*.f64 a (fma.f64 #s(literal -1/4 binary64) (exp.f64 (log.f64 #s(literal 1/8 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (exp.f64 (log.f64 #s(literal 1/4 binary64))) b) (*.f64 a (fma.f64 #s(literal 1/6 binary64) (exp.f64 (log.f64 #s(literal 1/8 binary64))) (*.f64 #s(literal -1/48 binary64) (pow.f64 b #s(literal -2 binary64))))))))))))))
#s(approx (/ (+ (neg (/ (/ (exp a) b) (+ 1 (exp a)))) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/.f64 (-.f64 (exp.f64 (log.f64 #s(literal 1/4 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal -1 binary64)))) b))
#s(approx (/ (+ (neg (/ (/ (exp a) b) (+ 1 (exp a)))) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (-.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 a (*.f64 b b)) (/.f64 (exp.f64 (log.f64 #s(literal 1/4 binary64))) b)) (/.f64 #s(literal 1/2 binary64) (*.f64 b b))))
#s(approx (/ (+ (neg (/ (/ (exp a) b) (+ 1 (exp a)))) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (-.f64 (fma.f64 a (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 a (exp.f64 (log.f64 #s(literal 1/4 binary64)))) b) (*.f64 #s(literal -1/4 binary64) (pow.f64 b #s(literal -2 binary64)))) (/.f64 (exp.f64 (log.f64 #s(literal 1/4 binary64))) b)) (/.f64 #s(literal 1/2 binary64) (*.f64 b b))))
#s(approx (/ (+ (neg (/ (/ (exp a) b) (+ 1 (exp a)))) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (-.f64 (fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/4 binary64) (/.f64 (exp.f64 (log.f64 #s(literal 1/4 binary64))) b) (*.f64 #s(literal 1/48 binary64) (/.f64 a (*.f64 b b)))) (*.f64 #s(literal -1/4 binary64) (pow.f64 b #s(literal -2 binary64)))) (/.f64 (exp.f64 (log.f64 #s(literal 1/4 binary64))) b)) (/.f64 #s(literal 1/2 binary64) (*.f64 b b))))
#s(approx (+ (neg (/ (/ (exp a) b) (+ 1 (exp a)))) (exp (- a (* (log (+ 1 (exp a))) 2)))) (-.f64 (exp.f64 (log.f64 #s(literal 1/4 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal -1 binary64)))))
#s(approx (+ (neg (/ (/ (exp a) b) (+ 1 (exp a)))) (exp (- a (* (log (+ 1 (exp a))) 2)))) (-.f64 (-.f64 (exp.f64 (log.f64 #s(literal 1/4 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 a b))) (*.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal -1 binary64)))))
#s(approx (+ (neg (/ (/ (exp a) b) (+ 1 (exp a)))) (exp (- a (* (log (+ 1 (exp a))) 2)))) (-.f64 (+.f64 (exp.f64 (log.f64 #s(literal 1/4 binary64))) (*.f64 a (fma.f64 #s(literal -1/4 binary64) (*.f64 a (exp.f64 (log.f64 #s(literal 1/4 binary64)))) (*.f64 #s(literal -1/4 binary64) (pow.f64 b #s(literal -1 binary64)))))) (*.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal -1 binary64)))))
#s(approx (+ (neg (/ (/ (exp a) b) (+ 1 (exp a)))) (exp (- a (* (log (+ 1 (exp a))) 2)))) (-.f64 (+.f64 (exp.f64 (log.f64 #s(literal 1/4 binary64))) (*.f64 a (fma.f64 a (fma.f64 #s(literal -1/4 binary64) (exp.f64 (log.f64 #s(literal 1/4 binary64))) (*.f64 #s(literal 1/48 binary64) (/.f64 a b))) (*.f64 #s(literal -1/4 binary64) (pow.f64 b #s(literal -1 binary64)))))) (*.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal -1 binary64)))))
#s(approx (neg (/ (/ (exp a) b) (+ 1 (exp a)))) (/.f64 #s(literal -1/2 binary64) b))
#s(approx (neg (/ (/ (exp a) b) (+ 1 (exp a)))) (fma.f64 #s(literal -1/4 binary64) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) (pow.f64 b #s(literal -1 binary64)))))
#s(approx (neg (/ (/ (exp a) b) (+ 1 (exp a)))) (fma.f64 a (fma.f64 #s(literal 1/48 binary64) (/.f64 (*.f64 a a) b) (*.f64 #s(literal -1/4 binary64) (pow.f64 b #s(literal -1 binary64)))) (*.f64 #s(literal -1/2 binary64) (pow.f64 b #s(literal -1 binary64)))))
#s(approx (neg (/ (/ (exp a) b) (+ 1 (exp a)))) (fma.f64 a (fma.f64 (*.f64 a a) (fma.f64 #s(literal -1/480 binary64) (/.f64 (*.f64 a a) b) (*.f64 #s(literal 1/48 binary64) (pow.f64 b #s(literal -1 binary64)))) (*.f64 #s(literal -1/4 binary64) (pow.f64 b #s(literal -1 binary64)))) (*.f64 #s(literal -1/2 binary64) (pow.f64 b #s(literal -1 binary64)))))
#s(approx (/ (/ (exp a) b) (+ 1 (exp a))) (/.f64 #s(literal 1/2 binary64) b))
#s(approx (/ (/ (exp a) b) (+ 1 (exp a))) (fma.f64 #s(literal 1/4 binary64) (/.f64 a b) (*.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal -1 binary64)))))
#s(approx (/ (/ (exp a) b) (+ 1 (exp a))) (fma.f64 a (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 a a) b) (*.f64 #s(literal 1/4 binary64) (pow.f64 b #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal -1 binary64)))))
#s(approx (/ (/ (exp a) b) (+ 1 (exp a))) (fma.f64 a (fma.f64 (*.f64 a a) (fma.f64 #s(literal 1/480 binary64) (/.f64 (*.f64 a a) b) (*.f64 #s(literal -1/48 binary64) (pow.f64 b #s(literal -1 binary64)))) (*.f64 #s(literal 1/4 binary64) (pow.f64 b #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal -1 binary64)))))
#s(approx (/ (exp a) b) (pow.f64 b #s(literal -1 binary64)))
#s(approx (/ (exp a) b) (/.f64 (+.f64 #s(literal 1 binary64) a) b))
#s(approx (/ (exp a) b) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) (pow.f64 b #s(literal -1 binary64))) (pow.f64 b #s(literal -1 binary64))))
#s(approx (/ (exp a) b) (fma.f64 a (fma.f64 a (fma.f64 #s(literal 1/6 binary64) (/.f64 a b) (*.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal -1 binary64)))) (pow.f64 b #s(literal -1 binary64))) (pow.f64 b #s(literal -1 binary64))))
#s(approx (exp a) #s(literal 1 binary64))
#s(approx (exp a) (+.f64 #s(literal 1 binary64) a))
#s(approx (exp a) (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a)))))
#s(approx (exp a) (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) a)))))))
#s(approx a a)
#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)) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a)))))
#s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) a)))))))
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) (exp.f64 (log.f64 #s(literal 1/4 binary64))))
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) (+.f64 (exp.f64 (log.f64 #s(literal 1/4 binary64))) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 a a) (exp.f64 (log.f64 #s(literal 1/4 binary64)))))))
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) (+.f64 (exp.f64 (log.f64 #s(literal 1/4 binary64))) (*.f64 (*.f64 a a) (fma.f64 #s(literal -1/4 binary64) (exp.f64 (log.f64 #s(literal 1/4 binary64))) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 a a) (exp.f64 (log.f64 #s(literal 1/4 binary64)))))))))
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) (+.f64 (exp.f64 (log.f64 #s(literal 1/4 binary64))) (*.f64 (*.f64 a a) (fma.f64 #s(literal -1/4 binary64) (exp.f64 (log.f64 #s(literal 1/4 binary64))) (*.f64 (*.f64 a a) (fma.f64 #s(literal -17/2880 binary64) (*.f64 (*.f64 a a) (exp.f64 (log.f64 #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/24 binary64) (exp.f64 (log.f64 #s(literal 1/4 binary64))))))))))
#s(approx (- a (* (log (+ 1 (exp a))) 2)) (log.f64 #s(literal 1/4 binary64)))
#s(approx (- a (* (log (+ 1 (exp a))) 2)) (fma.f64 #s(literal -1/4 binary64) (*.f64 a a) (log.f64 #s(literal 1/4 binary64))))
#s(approx (- a (* (log (+ 1 (exp a))) 2)) (fma.f64 (*.f64 a a) (-.f64 (*.f64 #s(literal 1/96 binary64) (*.f64 a a)) #s(literal 1/4 binary64)) (log.f64 #s(literal 1/4 binary64))))
#s(approx (- a (* (log (+ 1 (exp a))) 2)) (fma.f64 (*.f64 a a) (-.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1/96 binary64) (*.f64 #s(literal -1/1440 binary64) (*.f64 a a)))) #s(literal 1/4 binary64)) (log.f64 #s(literal 1/4 binary64))))
#s(approx (* (log (+ 1 (exp a))) 2) (log.f64 #s(literal 4 binary64)))
#s(approx (* (log (+ 1 (exp a))) 2) (-.f64 a (log.f64 #s(literal 1/4 binary64))))
#s(approx (* (log (+ 1 (exp a))) 2) (+.f64 (log.f64 #s(literal 4 binary64)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) a)))))
#s(approx (* (log (+ 1 (exp a))) 2) (+.f64 (log.f64 #s(literal 4 binary64)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/96 binary64) (*.f64 a a))))))))
#s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64)))
#s(approx (log (+ 1 (exp a))) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) a)))
#s(approx (log (+ 1 (exp a))) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) a)))))
#s(approx (log (+ 1 (exp a))) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (*.f64 a a))))))))
#s(approx (exp (- a (* (log (+ 1 (exp a))) 3))) (exp.f64 (log.f64 #s(literal 1/8 binary64))))
#s(approx (exp (- a (* (log (+ 1 (exp a))) 3))) (-.f64 (exp.f64 (log.f64 #s(literal 1/8 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 a (exp.f64 (log.f64 #s(literal 1/8 binary64)))))))
#s(approx (exp (- a (* (log (+ 1 (exp a))) 3))) (+.f64 (exp.f64 (log.f64 #s(literal 1/8 binary64))) (*.f64 a (fma.f64 #s(literal -1/2 binary64) (exp.f64 (log.f64 #s(literal 1/8 binary64))) (*.f64 #s(literal -1/4 binary64) (*.f64 a (exp.f64 (log.f64 #s(literal 1/8 binary64)))))))))
#s(approx (exp (- a (* (log (+ 1 (exp a))) 3))) (+.f64 (exp.f64 (log.f64 #s(literal 1/8 binary64))) (*.f64 a (fma.f64 #s(literal -1/2 binary64) (exp.f64 (log.f64 #s(literal 1/8 binary64))) (*.f64 a (fma.f64 #s(literal -1/4 binary64) (exp.f64 (log.f64 #s(literal 1/8 binary64))) (*.f64 #s(literal 1/6 binary64) (*.f64 a (exp.f64 (log.f64 #s(literal 1/8 binary64)))))))))))
#s(approx (- a (* (log (+ 1 (exp a))) 3)) (log.f64 #s(literal 1/8 binary64)))
#s(approx (- a (* (log (+ 1 (exp a))) 3)) (fma.f64 #s(literal -1/2 binary64) a (log.f64 #s(literal 1/8 binary64))))
#s(approx (- a (* (log (+ 1 (exp a))) 3)) (fma.f64 a (-.f64 (*.f64 #s(literal -3/8 binary64) a) #s(literal 1/2 binary64)) (log.f64 #s(literal 1/8 binary64))))
#s(approx (- a (* (log (+ 1 (exp a))) 3)) (fma.f64 a (-.f64 (*.f64 a (-.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 a a)) #s(literal 3/8 binary64))) #s(literal 1/2 binary64)) (log.f64 #s(literal 1/8 binary64))))
#s(approx (* (log (+ 1 (exp a))) 3) (log.f64 #s(literal 8 binary64)))
#s(approx (* (log (+ 1 (exp a))) 3) (fma.f64 #s(literal 3/2 binary64) a (log.f64 #s(literal 8 binary64))))
#s(approx (* (log (+ 1 (exp a))) 3) (+.f64 (log.f64 #s(literal 8 binary64)) (*.f64 a (-.f64 #s(literal 3/2 binary64) (*.f64 #s(literal -3/8 binary64) a)))))
#s(approx (* (log (+ 1 (exp a))) 3) (+.f64 (log.f64 #s(literal 8 binary64)) (*.f64 a (+.f64 #s(literal 3/2 binary64) (*.f64 a (-.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/64 binary64) (*.f64 a a))))))))
#s(approx (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (*.f64 #s(literal 1/2 binary64) (exp.f64 (log.f64 #s(literal 1/4 binary64)))))
#s(approx (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 a a) (exp.f64 (log.f64 #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (log.f64 #s(literal 1/4 binary64))))))
#s(approx (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (fma.f64 #s(literal 1/2 binary64) (exp.f64 (log.f64 #s(literal 1/4 binary64))) (*.f64 (*.f64 a a) (fma.f64 #s(literal -1/8 binary64) (exp.f64 (log.f64 #s(literal 1/4 binary64))) (*.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 a a) (exp.f64 (log.f64 #s(literal 1/4 binary64)))))))))
#s(approx (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (fma.f64 #s(literal 1/2 binary64) (exp.f64 (log.f64 #s(literal 1/4 binary64))) (*.f64 (*.f64 a a) (fma.f64 #s(literal -1/8 binary64) (exp.f64 (log.f64 #s(literal 1/4 binary64))) (*.f64 (*.f64 a a) (fma.f64 #s(literal -17/5760 binary64) (*.f64 (*.f64 a a) (exp.f64 (log.f64 #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/48 binary64) (exp.f64 (log.f64 #s(literal 1/4 binary64))))))))))
#s(approx (+ (* (exp (- a (* (log (+ 1 (exp a))) 3))) -1/2) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)) (fma.f64 #s(literal -1/2 binary64) (exp.f64 (log.f64 #s(literal 1/8 binary64))) (*.f64 #s(literal 1/6 binary64) (exp.f64 (log.f64 #s(literal 1/4 binary64))))))
#s(approx (+ (* (exp (- a (* (log (+ 1 (exp a))) 3))) -1/2) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)) (fma.f64 #s(literal -1/2 binary64) (exp.f64 (log.f64 #s(literal 1/8 binary64))) (fma.f64 #s(literal 1/6 binary64) (exp.f64 (log.f64 #s(literal 1/4 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 a (exp.f64 (log.f64 #s(literal 1/8 binary64))))))))
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#s(approx (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6) (*.f64 #s(literal 1/6 binary64) (exp.f64 (log.f64 #s(literal 1/4 binary64)))))
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#s(approx (- (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (exp (- a (* (log (+ 1 (exp a))) 3)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 (log.f64 #s(literal 1/4 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 a (exp.f64 (log.f64 #s(literal 1/8 binary64)))))) (exp.f64 (log.f64 #s(literal 1/8 binary64)))))
#s(approx (- (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (exp (- a (* (log (+ 1 (exp a))) 3)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 (log.f64 #s(literal 1/4 binary64))) (*.f64 a (fma.f64 a (fma.f64 #s(literal -1/8 binary64) (exp.f64 (log.f64 #s(literal 1/4 binary64))) (*.f64 #s(literal 1/4 binary64) (exp.f64 (log.f64 #s(literal 1/8 binary64))))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (log.f64 #s(literal 1/8 binary64))))))) (exp.f64 (log.f64 #s(literal 1/8 binary64)))))
#s(approx (- (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (exp (- a (* (log (+ 1 (exp a))) 3)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 (log.f64 #s(literal 1/4 binary64))) (*.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a (exp.f64 (log.f64 #s(literal 1/8 binary64)))) (*.f64 #s(literal -1/8 binary64) (exp.f64 (log.f64 #s(literal 1/4 binary64))))) (*.f64 #s(literal -1/4 binary64) (exp.f64 (log.f64 #s(literal 1/8 binary64))))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (log.f64 #s(literal 1/8 binary64))))))) (exp.f64 (log.f64 #s(literal 1/8 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))
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#s(approx (+ (* (/ (- (+ (* (/ (+ (neg (/ (/ (exp a) b) (+ 1 (exp a)))) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) -1) (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2)) b) -1) (+ (* (exp (- a (* (log (+ 1 (exp a))) 3))) -1/2) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6))) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (-.f64 (exp.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) a (*.f64 #s(literal 3 binary64) (log1p.f64 (exp.f64 a)))))) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a)))))) (/.f64 (exp.f64 a) (*.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) b))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a)))))))) b) (fma.f64 #s(literal -1/2 binary64) (exp.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) a (*.f64 #s(literal 3 binary64) (log1p.f64 (exp.f64 a)))))) (*.f64 #s(literal 1/6 binary64) (exp.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))))))))
#s(approx (/ (- (+ (* (/ (+ (neg (/ (/ (exp a) b) (+ 1 (exp a)))) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) -1) (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2)) b) (/.f64 (-.f64 (-.f64 (exp.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) a (*.f64 #s(literal 3 binary64) (log1p.f64 (exp.f64 a)))))) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a)))))) (/.f64 (exp.f64 a) (*.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) b))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a)))))))) b))
#s(approx (- (+ (* (/ (+ (neg (/ (/ (exp a) b) (+ 1 (exp a)))) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) -1) (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2)) (-.f64 (-.f64 (exp.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) a (*.f64 #s(literal 3 binary64) (log1p.f64 (exp.f64 a)))))) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a)))))) (/.f64 (exp.f64 a) (*.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) b))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a)))))))))
#s(approx (+ (* (/ (+ (neg (/ (/ (exp a) b) (+ 1 (exp a)))) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) -1) (exp (- a (* (log (+ 1 (exp a))) 3)))) (-.f64 (exp.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) a (*.f64 #s(literal 3 binary64) (log1p.f64 (exp.f64 a)))))) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a)))))) (/.f64 (exp.f64 a) (*.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) b))))
#s(approx (/ (+ (neg (/ (/ (exp a) b) (+ 1 (exp a)))) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/.f64 (-.f64 (exp.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a)))))) (/.f64 (exp.f64 a) (*.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) b))
#s(approx (+ (neg (/ (/ (exp a) b) (+ 1 (exp a)))) (exp (- a (* (log (+ 1 (exp a))) 2)))) (-.f64 (exp.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a)))))) (/.f64 (exp.f64 a) (*.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))))
#s(approx (exp (- a (* (log (+ 1 (exp a))) 2))) (exp.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a)))))))
#s(approx (- a (* (log (+ 1 (exp a))) 2)) (*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (log1p.f64 (exp.f64 a)) a)) #s(literal 1 binary64)))))
#s(approx (exp (- a (* (log (+ 1 (exp a))) 3))) (exp.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) a (*.f64 #s(literal 3 binary64) (log1p.f64 (exp.f64 a)))))))
#s(approx (- a (* (log (+ 1 (exp a))) 3)) (*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (log1p.f64 (exp.f64 a)) a)) #s(literal 1 binary64)))))
#s(approx (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))))))
#s(approx (+ (* (exp (- a (* (log (+ 1 (exp a))) 3))) -1/2) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)) (fma.f64 #s(literal -1/2 binary64) (exp.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) a (*.f64 #s(literal 3 binary64) (log1p.f64 (exp.f64 a)))))) (*.f64 #s(literal 1/6 binary64) (exp.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a)))))))))
#s(approx (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6) (*.f64 #s(literal 1/6 binary64) (exp.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))))))
#s(approx (neg (/ (- (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (exp (- a (* (log (+ 1 (exp a))) 3)))) (+ 1 (exp a)))) (-.f64 (/.f64 (exp.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) a (*.f64 #s(literal 3 binary64) (log1p.f64 (exp.f64 a)))))) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a)))))) (+.f64 #s(literal 1 binary64) (exp.f64 a))))))
#s(approx (/ (- (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (exp (- a (* (log (+ 1 (exp a))) 3)))) (+ 1 (exp a))) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))))) (exp.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) a (*.f64 #s(literal 3 binary64) (log1p.f64 (exp.f64 a))))))) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (- (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (exp (- a (* (log (+ 1 (exp a))) 3)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))))) (exp.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) a (*.f64 #s(literal 3 binary64) (log1p.f64 (exp.f64 a))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 b (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 b (fma.f64 #s(literal -1 binary64) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))))))) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 b (-.f64 (*.f64 b (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 b (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (fma.f64 #s(literal -1/2 binary64) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/6 binary64) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))))))) (fma.f64 #s(literal -1 binary64) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))))))) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (pow (pow (- (exp b) -1) -1/2) 2) #s(literal 1/2 binary64))
#s(approx (pow (pow (- (exp b) -1) -1/2) 2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b)))
#s(approx (pow (pow (- (exp b) -1) -1/2) 2) (+.f64 #s(literal 1/2 binary64) (*.f64 b (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 b b)) #s(literal 1/4 binary64)))))
#s(approx (pow (pow (- (exp b) -1) -1/2) 2) (+.f64 #s(literal 1/2 binary64) (*.f64 b (-.f64 (*.f64 (*.f64 b b) (+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal -1/480 binary64) (*.f64 b b)))) #s(literal 1/4 binary64)))))
#s(approx (pow (- (exp b) -1) -1/2) (sqrt.f64 #s(literal 1/2 binary64)))
#s(approx (pow (- (exp b) -1) -1/2) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/8 binary64) (/.f64 b (sqrt.f64 #s(literal 1/2 binary64))))))
#s(approx (pow (- (exp b) -1) -1/2) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 b (fma.f64 #s(literal -1/128 binary64) (/.f64 b (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))) (*.f64 #s(literal -1/8 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)))))))
#s(approx (pow (- (exp b) -1) -1/2) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 b (fma.f64 b (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal 5/384 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal -1/128 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -3 binary64)))) (*.f64 #s(literal -1/8 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #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) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))
#s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b)))))))
#s(approx (exp b) #s(literal 1 binary64))
#s(approx (exp b) (+.f64 #s(literal 1 binary64) b))
#s(approx (exp b) (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))
#s(approx (exp b) (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b)))))))
#s(approx b b)
#s(approx (pow (pow (- (exp b) -1) -1/2) 2) #s(literal 1/2 binary64))
#s(approx (pow (pow (- (exp b) -1) -1/2) 2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b)))
#s(approx (pow (pow (- (exp b) -1) -1/2) 2) (+.f64 #s(literal 1/2 binary64) (*.f64 b (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 b b)) #s(literal 1/4 binary64)))))
#s(approx (pow (pow (- (exp b) -1) -1/2) 2) (+.f64 #s(literal 1/2 binary64) (*.f64 b (-.f64 (*.f64 (*.f64 b b) (+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal -1/480 binary64) (*.f64 b b)))) #s(literal 1/4 binary64)))))
#s(approx (+ (* -1/4 b) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* -1/4 b) 1/2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b)))
#s(approx (* -1/4 b) (*.f64 #s(literal -1/4 binary64) b))
#s(approx (+ 2 b) #s(literal 2 binary64))
#s(approx (+ 2 b) (+.f64 #s(literal 2 binary64) b))
#s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
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#s(approx (+ (+ (* (/ (- (+ (* (/ (+ (neg (/ (/ (exp a) b) (+ 1 (exp a)))) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) -1) (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2)) b) -1) (+ (* (exp (- a (* (log (+ 1 (exp a))) 3))) -1/2) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6))) (neg (/ (- (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (exp (- a (* (log (+ 1 (exp a))) 3)))) (+ 1 (exp a))))) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (-.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 3 binary64) (log1p.f64 (exp.f64 a))))) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) (*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) (*.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))) b))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))))) b) (fma.f64 #s(literal -1/2 binary64) (exp.f64 (-.f64 a (*.f64 #s(literal 3 binary64) (log1p.f64 (exp.f64 a))))) (fma.f64 #s(literal 1/6 binary64) (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) (/.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 3 binary64) (log1p.f64 (exp.f64 a))))) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) (+.f64 #s(literal 1 binary64) (exp.f64 a))))))
#s(approx (+ (* (/ (- (+ (* (/ (+ (neg (/ (/ (exp a) b) (+ 1 (exp a)))) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) -1) (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2)) b) -1) (+ (* (exp (- a (* (log (+ 1 (exp a))) 3))) -1/2) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6))) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (-.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 3 binary64) (log1p.f64 (exp.f64 a))))) (*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) b))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))))) b) (fma.f64 #s(literal -1/2 binary64) (exp.f64 (-.f64 a (*.f64 #s(literal 3 binary64) (log1p.f64 (exp.f64 a))))) (*.f64 #s(literal 1/6 binary64) (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a)))))))))
#s(approx (+ (* (/ (- (+ (* (/ (+ (neg (/ (/ (exp a) b) (+ 1 (exp a)))) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) -1) (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2)) b) -1) (+ (* (exp (- a (* (log (+ 1 (exp a))) 3))) -1/2) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6))) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (-.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 3 binary64) (log1p.f64 (exp.f64 a))))) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) (*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) (*.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))) b))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))))) b) (fma.f64 #s(literal -1/2 binary64) (exp.f64 (-.f64 a (*.f64 #s(literal 3 binary64) (log1p.f64 (exp.f64 a))))) (*.f64 #s(literal 1/6 binary64) (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a)))))))))
#s(approx (/ (- (+ (* (/ (+ (neg (/ (/ (exp a) b) (+ 1 (exp a)))) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) -1) (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2)) b) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 3 binary64) (log1p.f64 (exp.f64 a))))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))))) (/.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) b)) b)))
#s(approx (/ (- (+ (* (/ (+ (neg (/ (/ (exp a) b) (+ 1 (exp a)))) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) -1) (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2)) b) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 3 binary64) (log1p.f64 (exp.f64 a))))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) (/.f64 (exp.f64 a) (*.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) b))) b)))
#s(approx (- (+ (* (/ (+ (neg (/ (/ (exp a) b) (+ 1 (exp a)))) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) -1) (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2)) (-.f64 (-.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 3 binary64) (log1p.f64 (exp.f64 a))))) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) (*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) (*.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))) b))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))))))
#s(approx (+ (* (/ (+ (neg (/ (/ (exp a) b) (+ 1 (exp a)))) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) -1) (exp (- a (* (log (+ 1 (exp a))) 3)))) (-.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 3 binary64) (log1p.f64 (exp.f64 a))))) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) (*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) (*.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))) b))))
#s(approx (/ (+ (neg (/ (/ (exp a) b) (+ 1 (exp a)))) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (exp.f64 (-.f64 a (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))))) (/.f64 (exp.f64 a) (*.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) b)))

eval554.0ms (15.8%)

Memory
14.2MiB live, 1 238.7MiB allocated; 145ms collecting garbage
Compiler

Compiled 133 631 to 5 913 computations (95.6% saved)

prune19.0ms (0.5%)

Memory
1.8MiB live, 52.2MiB allocated; 1ms collecting garbage
Pruning

12 alts after pruning (3 fresh and 9 done)

PrunedKeptTotal
New6043607
Fresh000
Picked235
Done066
Total60612618
Accuracy
99.7%
Counts
618 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.9%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
64.9%
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
80.3%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
80.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))
38.4%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (pow (- (exp b) -1) -1/2) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))
36.2%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64)))
3.3%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (- (exp b) -1) #s(approx (+ 2 b) b)) #s(literal -1 binary64)))
2.5%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (exp.f64 (*.f64 (log.f64 #s(approx (- (exp b) -1) #s(approx (+ 2 b) b))) #s(literal -1 binary64))))
36.2%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
4.2%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
38.9%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64)))
25.9%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) (neg.f64 (*.f64 (+.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (/.f64 (exp.f64 a) b) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))) b) #s(literal -1 binary64) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))) (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) b) #s(literal -1 binary64) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/6 binary64)))) #s(approx (neg (/ (- (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (exp (- a (* (log (+ 1 (exp a))) 3)))) (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) (exp.f64 (log.f64 #s(literal 1/8 binary64))) (*.f64 #s(literal -1/4 binary64) (exp.f64 (log.f64 #s(literal 1/4 binary64))))))) (pow.f64 b #s(literal 3 binary64))))))
Compiler

Compiled 1 248 to 402 computations (67.8% saved)

regimes24.0ms (0.7%)

Memory
5.6MiB live, 52.8MiB allocated; 2ms collecting garbage
Counts
18 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (- (exp b) -1) #s(approx (+ 2 b) b)) #s(literal -1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (pow (- (exp b) -1) -1/2) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (exp.f64 (*.f64 (log.f64 #s(approx (- (exp b) -1) #s(approx (+ 2 b) b))) #s(literal -1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) (neg.f64 (*.f64 (+.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (/.f64 (exp.f64 a) b) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))) b) #s(literal -1 binary64) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))) (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) b) #s(literal -1 binary64) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/6 binary64)))) #s(approx (neg (/ (- (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (exp (- a (* (log (+ 1 (exp a))) 3)))) (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) (exp.f64 (log.f64 #s(literal 1/8 binary64))) (*.f64 #s(literal -1/4 binary64) (exp.f64 (log.f64 #s(literal 1/4 binary64))))))) (pow.f64 b #s(literal 3 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (neg.f64 b) (fma.f64 (/.f64 (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))))) (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))) (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/6 binary64))))) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))))) b) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))) b (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (- (* (- (* (neg b) (+ (* (/ (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3))))) (- (exp a) -1)) -1) (+ (* -1/2 (exp (- a (* (log (+ 1 (exp a))) 3)))) (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/6)))) (+ (* (exp (- a (* (log (+ 1 (exp a))) 2))) 1/2) (neg (exp (- a (* (log (+ 1 (exp a))) 3)))))) b) (exp (- a (* (log (+ 1 (exp a))) 2)))) b) (/ (exp a) (- (exp a) -1))) (neg.f64 (*.f64 (+.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (/.f64 (exp.f64 a) b) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))) b) #s(literal -1 binary64) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))) (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) b) #s(literal -1 binary64) (fma.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/6 binary64)))) (neg.f64 (/.f64 (-.f64 (*.f64 (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (exp.f64 (-.f64 a (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (pow.f64 b #s(literal 3 binary64))))))
Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Calls

5 calls:

5.0ms
b
5.0ms
a
5.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms
(exp.f64 a)
4.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
98.8%1(exp.f64 b)
98.8%1(exp.f64 a)
98.8%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
98.8%1a
98.8%1b
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes17.0ms (0.5%)

Memory
-7.2MiB live, 40.3MiB allocated; 1ms collecting garbage
Counts
12 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (- (exp b) -1) #s(approx (+ 2 b) b)) #s(literal -1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (pow (- (exp b) -1) -1/2) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (exp.f64 (*.f64 (log.f64 #s(approx (- (exp b) -1) #s(approx (+ 2 b) b))) #s(literal -1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))
Calls

5 calls:

4.0ms
b
4.0ms
a
3.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
3.0ms
(exp.f64 a)
3.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
99.5%3(exp.f64 b)
98.6%2(exp.f64 a)
84.9%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
98.6%2a
99.5%3b
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes6.0ms (0.2%)

Memory
16.3MiB live, 16.3MiB allocated; 0ms collecting garbage
Counts
10 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (- (exp b) -1) #s(approx (+ 2 b) b)) #s(literal -1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (pow (- (exp b) -1) -1/2) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (exp.f64 (*.f64 (log.f64 #s(approx (- (exp b) -1) #s(approx (+ 2 b) b))) #s(literal -1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
Outputs
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))
Calls

2 calls:

3.0ms
a
2.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
98.3%2(exp.f64 a)
98.3%2a
Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes48.0ms (1.4%)

Memory
-21.1MiB live, 28.9MiB allocated; 41ms collecting garbage
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (- (exp b) -1) #s(approx (+ 2 b) b)) #s(literal -1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (pow (- (exp b) -1) -1/2) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (exp.f64 (*.f64 (log.f64 #s(approx (- (exp b) -1) #s(approx (+ 2 b) b))) #s(literal -1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))
Calls

5 calls:

39.0ms
b
3.0ms
a
2.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
2.0ms
(exp.f64 b)
2.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
80.8%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
80.8%1(exp.f64 b)
80.8%1b
80.8%1(exp.f64 a)
80.8%1a
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes11.0ms (0.3%)

Memory
28.1MiB live, 28.1MiB allocated; 0ms collecting garbage
Accuracy

Total -24.2b remaining (-61.8%)

Threshold costs -24.2b (-61.8%)

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

5 calls:

2.0ms
b
2.0ms
a
2.0ms
(exp.f64 b)
2.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
2.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
38.9%1(exp.f64 b)
38.9%1(exp.f64 a)
38.9%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
38.9%1a
38.9%1b
Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch13.0ms (0.4%)

Memory
-26.9MiB live, 23.9MiB allocated; 6ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
-37.58037055276507
-0.9344268227753421
Samples
8.0ms112×0valid
Compiler

Compiled 186 to 158 computations (15.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-exp: 5.0ms (86.5% of total)
ival-div!: 1.0ms (17.3% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)

bsearch9.0ms (0.3%)

Memory
19.8MiB live, 19.8MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
8.0ms
-37.58037055276507
-0.9344268227753421
Samples
4.0ms96×0valid
Compiler

Compiled 200 to 172 computations (14% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-exp: 2.0ms (81.7% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)
ival-div!: 0.0ms (0% of total)

derivations87.0ms (2.5%)

Memory
1.5MiB live, 96.5MiB allocated; 4ms collecting garbage
Stop Event
fuel
Compiler

Compiled 100 to 33 computations (67% saved)

preprocess31.0ms (0.9%)

Memory
-17.6MiB live, 78.0MiB allocated; 4ms collecting garbage
Compiler

Compiled 216 to 78 computations (63.9% saved)

end0.0ms (0%)

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

Profiling

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