Quotient of sum of exps

Time bar (total: 6.6s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze5.0ms (0.1%)

Memory
6.7MiB live, 6.8MiB allocated
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)

sample1.3s (19.5%)

Memory
51.3MiB live, 1 461.1MiB allocated
Samples
505.0ms8 256×0valid
408.0ms2 982×0exit
Precisions
Click to see histograms. Total time spent on operations: 400.0ms
ival-exp: 213.0ms (53.3% of total)
ival-add: 98.0ms (24.5% of total)
ival-div: 75.0ms (18.8% of total)
ival-true: 9.0ms (2.3% of total)
ival-assert: 5.0ms (1.3% of total)
Bogosity

explain89.0ms (1.3%)

Memory
-24.5MiB live, 158.0MiB allocated
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))overflow88
(exp.f64 a)overflow2
(exp.f64 b)overflow87
/.f64(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))u/u10
(exp.f64 a)underflow68
(+.f64 (exp.f64 a) (exp.f64 b))underflow1
(exp.f64 a)underflow68
(exp.f64 b)underflow38
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
39.0ms512×0valid
Compiler

Compiled 69 to 28 computations (59.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-exp: 8.0ms (56% of total)
ival-div: 3.0ms (21% of total)
ival-add: 3.0ms (21% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess86.0ms (1.3%)

Memory
-9.5MiB live, 29.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01648
14048
27548
314448
425943
546843
664543
790043
8123643
9146843
10164442
11182742
12193342
13209942
14217842
15220842
16221642
17221842
18221842
068
0108
1118
0118
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.8%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 8 to 6 computations (25% saved)

simplify2.0ms (0%)

Memory
5.1MiB live, 5.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(exp.f64 b)
cost-diff0
(+.f64 (exp.f64 a) (exp.f64 b))
cost-diff0
(exp.f64 a)
cost-diff0
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0619
01019
11119
01119
Stop Event
iter limit
saturated
iter limit
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
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(exp.f64 a)
a
(+.f64 (exp.f64 a) (exp.f64 b))
(+.f64 (exp.f64 b) (exp.f64 a))
(exp.f64 b)
b

localize44.0ms (0.7%)

Memory
-3.3MiB live, 35.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(exp.f64 b)
accuracy0
(exp.f64 a)
accuracy0.015625
(+.f64 (exp.f64 a) (exp.f64 b))
accuracy0.7499999989924532
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Samples
14.0ms256×0valid
Compiler

Compiled 40 to 14 computations (65% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-exp: 4.0ms (56.7% of total)
ival-div: 2.0ms (28.4% of total)
ival-add: 1.0ms (14.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
8.9MiB live, 8.9MiB allocated
Counts
4 → 27
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(exp.f64 a)
(+.f64 (exp.f64 a) (exp.f64 b))
(exp.f64 b)
Outputs
(/ 1 (+ 1 (exp b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* 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))))
(+ (* 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))))
1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(+ 1 (exp b))
(+ 1 (+ a (exp b)))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(/ (exp a) (+ (exp a) (exp b)))
(exp a)
(+ (exp a) (exp b))
(/ (exp a) (+ 1 (exp a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(+ (* 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))))
(+ (* 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))))
(+ 1 (exp a))
(+ 1 (+ b (exp a)))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ 1 b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(exp b)
Calls

6 calls:

TimeVariablePointExpression
1.0ms
a
@0
((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp b))
1.0ms
b
@0
((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp b))
1.0ms
a
@inf
((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp b))
1.0ms
a
@-inf
((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp b))
1.0ms
b
@inf
((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp b))

simplify246.0ms (3.7%)

Memory
13.5MiB live, 250.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0120516
1332501
2963484
33682453
08319416
Stop Event
iter limit
node limit
Counts
27 → 27
Calls
Call 1
Inputs
(/ 1 (+ 1 (exp b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* 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))))
(+ (* 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))))
1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(+ 1 (exp b))
(+ 1 (+ a (exp b)))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(/ (exp a) (+ (exp a) (exp b)))
(exp a)
(+ (exp a) (exp b))
(/ (exp a) (+ 1 (exp a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(+ (* 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))))
(+ (* 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))))
(+ 1 (exp a))
(+ 1 (+ b (exp a)))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ 1 b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(exp b)
Outputs
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 (+.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))) (/.f64 (neg.f64 a) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 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))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))) (+.f64 (/.f64 a (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 3 binary64))) (*.f64 (fma.f64 a #s(literal 3/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64)))))) a (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
(+ (* 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))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))) (fma.f64 (fma.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 3/2 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))) #s(literal 2/3 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 4 binary64)))) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal -1/2 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))))) a (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 3 binary64)))) a (*.f64 (fma.f64 a #s(literal 3/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64)))))) a (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
1
#s(literal 1 binary64)
(+ 1 a)
(+.f64 #s(literal 1 binary64) a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 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))
(+ 1 (exp b))
(+.f64 (exp.f64 b) #s(literal 1 binary64))
(+ 1 (+ a (exp b)))
(+.f64 (+.f64 (exp.f64 b) a) #s(literal 1 binary64))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64)))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(exp a)
(exp.f64 a)
(+ (exp a) (exp b))
(+.f64 (exp.f64 a) (exp.f64 b))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 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))))
(fma.f64 (fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) b #s(literal -1 binary64)) (*.f64 (exp.f64 a) (/.f64 b (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 3 binary64))))) b (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 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))))
(fma.f64 (*.f64 b b) (fma.f64 (fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) #s(literal 1 binary64)) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal 1/2 binary64))) b (neg.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) b (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))))))) (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
(+ 1 (exp a))
(+.f64 (exp.f64 a) #s(literal 1 binary64))
(+ 1 (+ b (exp a)))
(+.f64 (+.f64 (exp.f64 a) b) #s(literal 1 binary64))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(+ 1 b)
(+.f64 #s(literal 1 binary64) b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 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))
(exp b)
(exp.f64 b)

rewrite160.0ms (2.4%)

Memory
1.2MiB live, 266.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0617
01017
13217
220317
3193617
0863117
Stop Event
iter limit
node limit
iter limit
Counts
4 → 314
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(exp.f64 a)
(+.f64 (exp.f64 a) (exp.f64 b))
(exp.f64 b)
Outputs
(*.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (exp.f64 a)) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 b) (exp.f64 a))))
(*.f64 (/.f64 (exp.f64 a) (-.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)))
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(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) (fma.f64 (exp.f64 b) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))) (/.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 4 binary64)) (fma.f64 (exp.f64 b) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 6 binary64)) (+.f64 (+.f64 (exp.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))) (pow.f64 (exp.f64 b) #s(literal 4 binary64))) (pow.f64 (exp.f64 a) #s(literal 4 binary64)))) (neg.f64 (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))) (/.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 6 binary64)) (+.f64 (+.f64 (exp.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))) (pow.f64 (exp.f64 b) #s(literal 4 binary64))) (pow.f64 (exp.f64 a) #s(literal 4 binary64)))) (neg.f64 (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))))
(-.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (neg.f64 (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))) (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (neg.f64 (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) (fma.f64 (exp.f64 b) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 4 binary64)) (fma.f64 (exp.f64 b) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (-.f64 (exp.f64 a) (exp.f64 b))))
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 6 binary64)) (+.f64 (+.f64 (exp.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))) (pow.f64 (exp.f64 b) #s(literal 4 binary64))) (pow.f64 (exp.f64 a) #s(literal 4 binary64)))) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 6 binary64)) (+.f64 (+.f64 (exp.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))) (pow.f64 (exp.f64 b) #s(literal 4 binary64))) (pow.f64 (exp.f64 a) #s(literal 4 binary64)))) (-.f64 (exp.f64 a) (exp.f64 b))))
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 6 binary64)) (-.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))) (/.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 6 binary64)) (-.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 6 binary64)) (-.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64)))) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (/.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 6 binary64)) (-.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64)))) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))
(-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (exp.f64 b) #s(literal 0 binary64)) #s(literal -1 binary64)) (neg.f64 (exp.f64 a)))
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b)))) #s(literal -1 binary64)) (/.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (neg.f64 (exp.f64 b)) #s(literal -1 binary64)) (neg.f64 (exp.f64 a)))
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 (exp.f64 b) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (exp.f64 b) (exp.f64 a))) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 (exp.f64 b) (exp.f64 a))) (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (exp.f64 b) (exp.f64 a))))
(-.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 #s(literal 0 binary64) (/.f64 (-.f64 (exp.f64 a) (neg.f64 (exp.f64 b))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(-.f64 (exp.f64 a) (/.f64 (exp.f64 b) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal -1 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 b) (exp.f64 a)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (neg.f64 (neg.f64 (exp.f64 b))) (exp.f64 a))
(+.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b))) (neg.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b)))))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 a) (neg.f64 (neg.f64 (exp.f64 b))))
(+.f64 (exp.f64 a) (exp.f64 b))
(pow.f64 (exp.f64 b) #s(literal 1 binary64))
(exp.f64 (*.f64 b #s(literal 1 binary64)))
(exp.f64 b)

eval62.0ms (0.9%)

Memory
-12.5MiB live, 113.0MiB allocated
Compiler

Compiled 10 662 to 1 194 computations (88.8% saved)

prune10.0ms (0.2%)

Memory
-7.7MiB live, 30.9MiB allocated
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New3547361
Fresh000
Picked101
Done000
Total3557362
Accuracy
100.0%
Counts
362 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.3%
(pow.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
65.2%
(/.f64 (*.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (exp.f64 a)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))))
61.6%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
62.6%
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
35.1%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (*.f64 (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))))))
82.4%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
61.1%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
Compiler

Compiled 264 to 168 computations (36.4% saved)

simplify228.0ms (3.5%)

Memory
39.1MiB live, 149.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))
cost-diff0
(+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
cost-diff6592
(*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
cost-diff0
#s(approx (exp b) (+.f64 #s(literal 1 binary64) b))
cost-diff0
(+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))
cost-diff0
(exp.f64 a)
cost-diff0
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
cost-diff0
(+.f64 (exp.f64 a) #s(literal 1 binary64))
cost-diff0
#s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
cost-diff0
(exp.f64 a)
cost-diff0
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
cost-diff0
(exp.f64 b)
cost-diff0
(+.f64 (exp.f64 b) #s(literal 1 binary64))
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
cost-diff0
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
cost-diff0
(exp.f64 b)
cost-diff0
(+.f64 (exp.f64 b) (exp.f64 a))
cost-diff0
(pow.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)) #s(literal -1/2 binary64))
cost-diff13312
(/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a))
Iterations

Useful iterations: 15 (0.0ms)

IterNodesCost
032214
051214
166212
281212
3109212
4156210
5275210
6622210
71087210
81651210
92321206
102931206
113392206
123757206
133996206
144146206
154359202
165013202
175616202
186208202
196577202
207159202
08373202
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(pow.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)) #s(literal -1/2 binary64))
(/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(exp.f64 b)
b
(exp.f64 a)
a
#s(literal -1/2 binary64)
#s(literal 2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
#s(literal 1 binary64)
(+.f64 (exp.f64 b) #s(literal 1 binary64))
(exp.f64 b)
b
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(exp.f64 a)
a
#s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(+.f64 (exp.f64 a) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
(exp.f64 a)
a
(+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))
#s(approx (exp b) (+.f64 #s(literal 1 binary64) b))
(+.f64 #s(literal 1 binary64) b)
#s(literal 1 binary64)
b
#s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
(*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64))
(/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))
b
(-.f64 #s(literal -1 binary64) (exp.f64 a))
#s(literal -1 binary64)
(exp.f64 a)
a
#s(literal 1 binary64)
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(+.f64 (exp.f64 a) #s(literal 1 binary64))
Outputs
(pow.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(pow.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)) #s(literal -1/2 binary64))
(pow.f64 (-.f64 (exp.f64 (-.f64 b a)) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a))
(-.f64 (exp.f64 (-.f64 b a)) #s(literal -1 binary64))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 a) (exp.f64 b))
(exp.f64 b)
b
(exp.f64 a)
a
#s(literal -1/2 binary64)
#s(literal 2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))
#s(literal 1 binary64)
(+.f64 (exp.f64 b) #s(literal 1 binary64))
(-.f64 (exp.f64 b) #s(literal -1 binary64))
(exp.f64 b)
b
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(exp.f64 a)
a
#s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
#s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64)))
(+.f64 (exp.f64 a) #s(literal 1 binary64))
(-.f64 (exp.f64 a) #s(literal -1 binary64))
#s(literal 1 binary64)
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp b) (-.f64 b #s(literal -1 binary64))) (exp.f64 a)))
(exp.f64 a)
a
(+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))
(+.f64 #s(approx (exp b) (-.f64 b #s(literal -1 binary64))) (exp.f64 a))
#s(approx (exp b) (+.f64 #s(literal 1 binary64) b))
#s(approx (exp b) (-.f64 b #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) b)
(-.f64 b #s(literal -1 binary64))
#s(literal 1 binary64)
b
#s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (-.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 a)))))
(*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(/.f64 (-.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 a))))
(+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64))
(-.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal -1 binary64))
(/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))
b
(-.f64 #s(literal -1 binary64) (exp.f64 a))
#s(literal -1 binary64)
(exp.f64 a)
a
#s(literal 1 binary64)
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64)))
(+.f64 (exp.f64 a) #s(literal 1 binary64))
(-.f64 (exp.f64 a) #s(literal -1 binary64))

localize90.0ms (1.4%)

Memory
-3.4MiB live, 162.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(+.f64 (exp.f64 a) #s(literal 1 binary64))
accuracy0.015625
(*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
accuracy0.5000055021016504
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
accuracy24.656733867344972
#s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
accuracy0
(exp.f64 a)
accuracy0.015625
(+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))
accuracy0.5039076250216392
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
accuracy24.840541449742926
#s(approx (exp b) (+.f64 #s(literal 1 binary64) b))
accuracy0
(exp.f64 a)
accuracy0.0078125
(+.f64 (exp.f64 a) #s(literal 1 binary64))
accuracy0.5039076250216392
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
accuracy23.460510432104595
#s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
accuracy0
(exp.f64 b)
accuracy0.01171875
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
accuracy0.015625
(+.f64 (exp.f64 b) #s(literal 1 binary64))
accuracy0.36452372525123217
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
accuracy0.00390625
(pow.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)) #s(literal -1/2 binary64))
accuracy0.015625
(+.f64 (exp.f64 b) (exp.f64 a))
accuracy0.3125
(pow.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
accuracy0.44531525105082526
(/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a))
Samples
57.0ms188×0valid
14.0ms68×0exit
Compiler

Compiled 384 to 57 computations (85.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-exp: 21.0ms (42.4% of total)
ival-div: 8.0ms (16.1% of total)
ival-add: 8.0ms (16.1% of total)
ival-pow: 6.0ms (12.1% of total)
ival-pow2: 3.0ms (6.1% of total)
ival-mult: 1.0ms (2% of total)
ival-sub: 1.0ms (2% of total)
exact: 1.0ms (2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series31.0ms (0.5%)

Memory
-13.1MiB live, 24.3MiB allocated
Counts
20 → 78
Calls
Call 1
Inputs
(/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a))
(pow.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)) #s(literal -1/2 binary64))
(+.f64 (exp.f64 b) (exp.f64 a))
(exp.f64 b)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
(+.f64 (exp.f64 b) #s(literal 1 binary64))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(exp.f64 a)
#s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(+.f64 (exp.f64 a) #s(literal 1 binary64))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
(+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))
#s(approx (exp b) (+.f64 #s(literal 1 binary64) b))
(*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
(+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64))
(/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))
(pow.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
Outputs
(+ 1 (exp b))
(+ 1 (+ (exp b) (* -1 (* a (exp b)))))
(+ 1 (+ (exp b) (* a (- (* a (- 1/2 (+ (* -1 (exp b)) (* 1/2 (+ 1 (exp b)))))) (exp b)))))
(+ 1 (+ (exp b) (* a (- (* a (- (+ 1/2 (* a (- (+ (* -1 (exp b)) (* 1/2 (+ 1 (exp b)))) (+ 1/3 (+ (* -1/2 (exp b)) (* 1/6 (+ 1 (exp b)))))))) (+ (* -1 (exp b)) (* 1/2 (+ 1 (exp b)))))) (exp b)))))
(sqrt (/ 1 (+ 1 (exp b))))
(+ (sqrt (/ 1 (+ 1 (exp b)))) (* 1/2 (* (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (sqrt (+ 1 (exp b))))))
(+ (sqrt (/ 1 (+ 1 (exp b)))) (* a (+ (* 1/2 (* (sqrt (+ 1 (exp b))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (* 1/2 (* (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (+ (* 1/4 (* (+ 1 (exp b)) (pow (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) 2))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2)))))) (sqrt (+ 1 (exp b))))))))
(+ (sqrt (/ 1 (+ 1 (exp b)))) (* a (+ (* 1/2 (* (sqrt (+ 1 (exp b))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (* a (+ (* 1/2 (* (sqrt (+ 1 (exp b))) (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (+ (* 1/4 (* (+ 1 (exp b)) (pow (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) 2))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))))) (* 1/2 (* (* 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 (exp b)) (* (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (+ (* 1/4 (* (+ 1 (exp b)) (pow (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) 2))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (- (/ 1 (+ 1 (exp b))) (/ 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)))))))) (sqrt (+ 1 (exp b))))))))))
(+ 1 (+ a (exp b)))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(/ 1 (+ 1 (exp b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* 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))))
(+ (* 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))))
1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
2
(+ 2 a)
(+ 2 (* a (+ 1 (* 1/2 a))))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(* 1/2 (+ 1 (* -1/2 b)))
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* a (- (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b))))))
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* a (- (+ (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (* a (- (* 1/2 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/8 b) (+ (* -1/16 b) (+ (* 1/24 b) (+ (* 1/6 (+ 1 (* -1/2 b))) (* 1/4 b))))))) (+ (* 1/24 (+ 1 (* -1/2 b))) (+ (* 1/4 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))) (* 1/2 (- (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b))))))
(+ 1 (* -1/2 b))
(+ 1 (+ (* -1/2 b) (* 1/4 (* a b))))
(+ 1 (+ (* -1/2 b) (* a (+ (* 1/4 b) (* a (+ (* -1/8 b) (* 1/8 b)))))))
(+ 1 (+ (* -1/2 b) (* a (+ (* 1/4 b) (* a (+ (* -1/8 b) (+ (* 1/8 b) (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))))))))
(* -1/2 b)
(+ (* -1/2 b) (* 1/4 (* a b)))
(+ (* -1/2 b) (* a (+ (* 1/4 b) (* a (+ (* -1/8 b) (* 1/8 b))))))
(+ (* -1/2 b) (* a (+ (* 1/4 b) (* a (+ (* -1/8 b) (+ (* 1/8 b) (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))))))))))
1/2
(+ 1/2 (* 1/4 a))
(+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))
(+ 1/2 (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))))
(/ (+ (exp a) (exp b)) (exp a))
(sqrt (/ (exp a) (+ (exp a) (exp b))))
(+ (exp a) (exp b))
(/ (exp a) (+ (exp a) (exp b)))
(exp a)
(+ 1 (exp a))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(+ 1 (* -1 (/ b (+ 1 (exp a)))))
(* -1 (/ b (+ 1 (exp a))))
(/ (exp a) (+ 1 (exp a)))
(/ (+ 1 (exp a)) (exp a))
(+ 1 (+ (/ 1 (exp a)) (/ b (exp a))))
(+ 1 (+ (* b (+ (* 1/2 (/ b (exp a))) (/ 1 (exp a)))) (/ 1 (exp a))))
(+ 1 (+ (* b (+ (* b (+ (* 1/6 (/ b (exp a))) (* 1/2 (/ 1 (exp a))))) (/ 1 (exp a)))) (/ 1 (exp a))))
(sqrt (/ (exp a) (+ 1 (exp a))))
(+ (sqrt (/ (exp a) (+ 1 (exp a)))) (* -1/2 (* b (sqrt (/ (exp a) (pow (+ 1 (exp a)) 3))))))
(+ (sqrt (/ (exp a) (+ 1 (exp a)))) (* b (+ (* -1/2 (sqrt (/ (exp a) (pow (+ 1 (exp a)) 3)))) (* -1/2 (* (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (+ (* 1/4 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (sqrt (/ (+ 1 (exp a)) (exp a))))))))
(+ (sqrt (/ (exp a) (+ 1 (exp a)))) (* b (+ (* -1/2 (sqrt (/ (exp a) (pow (+ 1 (exp a)) 3)))) (* b (+ (* -1/2 (* (sqrt (/ (+ 1 (exp a)) (exp a))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (+ (* 1/4 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (* -1/2 (* (* 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))) (* 1/2 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (+ (* 1/4 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2))))) (+ 1 (exp a)))))))) (sqrt (/ (+ 1 (exp a)) (exp a))))))))))
(+ 1 (+ b (exp a)))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ 1 b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(+ (* 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))))
(+ (* 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))))
(+ 1/2 (* -1/4 b))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(exp b)
(* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2)))
(* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a))))))
(* b (- (/ 1 b) (/ 1 (+ 1 (exp a)))))
(* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))))
(* -1 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 b))))
Calls

6 calls:

TimeVariablePointExpression
8.0ms
a
@0
((/ (+ (exp b) (exp a)) (exp a)) (pow (/ (+ (exp b) (exp a)) (exp a)) -1/2) (+ (exp b) (exp a)) (exp b) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (+ (exp a) 1) (/ (exp a) (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (/ (exp a) (+ (exp a) (exp b))) (+ (/ b (- -1 (exp a))) 1) (/ b (- -1 (exp a))) (pow (pow (/ (+ (exp b) (exp a)) (exp a)) -1/2) 2) (/ (exp a) (+ (exp a) 1)))
6.0ms
b
@-inf
((/ (+ (exp b) (exp a)) (exp a)) (pow (/ (+ (exp b) (exp a)) (exp a)) -1/2) (+ (exp b) (exp a)) (exp b) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (+ (exp a) 1) (/ (exp a) (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (/ (exp a) (+ (exp a) (exp b))) (+ (/ b (- -1 (exp a))) 1) (/ b (- -1 (exp a))) (pow (pow (/ (+ (exp b) (exp a)) (exp a)) -1/2) 2) (/ (exp a) (+ (exp a) 1)))
5.0ms
a
@inf
((/ (+ (exp b) (exp a)) (exp a)) (pow (/ (+ (exp b) (exp a)) (exp a)) -1/2) (+ (exp b) (exp a)) (exp b) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (+ (exp a) 1) (/ (exp a) (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (/ (exp a) (+ (exp a) (exp b))) (+ (/ b (- -1 (exp a))) 1) (/ b (- -1 (exp a))) (pow (pow (/ (+ (exp b) (exp a)) (exp a)) -1/2) 2) (/ (exp a) (+ (exp a) 1)))
4.0ms
b
@0
((/ (+ (exp b) (exp a)) (exp a)) (pow (/ (+ (exp b) (exp a)) (exp a)) -1/2) (+ (exp b) (exp a)) (exp b) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (+ (exp a) 1) (/ (exp a) (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (/ (exp a) (+ (exp a) (exp b))) (+ (/ b (- -1 (exp a))) 1) (/ b (- -1 (exp a))) (pow (pow (/ (+ (exp b) (exp a)) (exp a)) -1/2) 2) (/ (exp a) (+ (exp a) 1)))
3.0ms
a
@-inf
((/ (+ (exp b) (exp a)) (exp a)) (pow (/ (+ (exp b) (exp a)) (exp a)) -1/2) (+ (exp b) (exp a)) (exp b) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (+ (exp a) 1) (/ (exp a) (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (/ (exp a) (+ (exp a) (exp b))) (+ (/ b (- -1 (exp a))) 1) (/ b (- -1 (exp a))) (pow (pow (/ (+ (exp b) (exp a)) (exp a)) -1/2) 2) (/ (exp a) (+ (exp a) 1)))

simplify154.0ms (2.3%)

Memory
-0.2MiB live, 152.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03651920
111381745
239301612
377221610
080611487
Stop Event
iter limit
node limit
Counts
78 → 78
Calls
Call 1
Inputs
(+ 1 (exp b))
(+ 1 (+ (exp b) (* -1 (* a (exp b)))))
(+ 1 (+ (exp b) (* a (- (* a (- 1/2 (+ (* -1 (exp b)) (* 1/2 (+ 1 (exp b)))))) (exp b)))))
(+ 1 (+ (exp b) (* a (- (* a (- (+ 1/2 (* a (- (+ (* -1 (exp b)) (* 1/2 (+ 1 (exp b)))) (+ 1/3 (+ (* -1/2 (exp b)) (* 1/6 (+ 1 (exp b)))))))) (+ (* -1 (exp b)) (* 1/2 (+ 1 (exp b)))))) (exp b)))))
(sqrt (/ 1 (+ 1 (exp b))))
(+ (sqrt (/ 1 (+ 1 (exp b)))) (* 1/2 (* (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (sqrt (+ 1 (exp b))))))
(+ (sqrt (/ 1 (+ 1 (exp b)))) (* a (+ (* 1/2 (* (sqrt (+ 1 (exp b))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (* 1/2 (* (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (+ (* 1/4 (* (+ 1 (exp b)) (pow (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) 2))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2)))))) (sqrt (+ 1 (exp b))))))))
(+ (sqrt (/ 1 (+ 1 (exp b)))) (* a (+ (* 1/2 (* (sqrt (+ 1 (exp b))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (* a (+ (* 1/2 (* (sqrt (+ 1 (exp b))) (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (+ (* 1/4 (* (+ 1 (exp b)) (pow (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) 2))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))))) (* 1/2 (* (* 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 (exp b)) (* (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (+ (* 1/4 (* (+ 1 (exp b)) (pow (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) 2))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (- (/ 1 (+ 1 (exp b))) (/ 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)))))))) (sqrt (+ 1 (exp b))))))))))
(+ 1 (+ a (exp b)))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(/ 1 (+ 1 (exp b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* 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))))
(+ (* 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))))
1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
2
(+ 2 a)
(+ 2 (* a (+ 1 (* 1/2 a))))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(* 1/2 (+ 1 (* -1/2 b)))
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* a (- (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b))))))
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* a (- (+ (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (* a (- (* 1/2 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/8 b) (+ (* -1/16 b) (+ (* 1/24 b) (+ (* 1/6 (+ 1 (* -1/2 b))) (* 1/4 b))))))) (+ (* 1/24 (+ 1 (* -1/2 b))) (+ (* 1/4 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))) (* 1/2 (- (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b))))))
(+ 1 (* -1/2 b))
(+ 1 (+ (* -1/2 b) (* 1/4 (* a b))))
(+ 1 (+ (* -1/2 b) (* a (+ (* 1/4 b) (* a (+ (* -1/8 b) (* 1/8 b)))))))
(+ 1 (+ (* -1/2 b) (* a (+ (* 1/4 b) (* a (+ (* -1/8 b) (+ (* 1/8 b) (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))))))))
(* -1/2 b)
(+ (* -1/2 b) (* 1/4 (* a b)))
(+ (* -1/2 b) (* a (+ (* 1/4 b) (* a (+ (* -1/8 b) (* 1/8 b))))))
(+ (* -1/2 b) (* a (+ (* 1/4 b) (* a (+ (* -1/8 b) (+ (* 1/8 b) (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))))))))))
1/2
(+ 1/2 (* 1/4 a))
(+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))
(+ 1/2 (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))))
(/ (+ (exp a) (exp b)) (exp a))
(sqrt (/ (exp a) (+ (exp a) (exp b))))
(+ (exp a) (exp b))
(/ (exp a) (+ (exp a) (exp b)))
(exp a)
(+ 1 (exp a))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(+ 1 (* -1 (/ b (+ 1 (exp a)))))
(* -1 (/ b (+ 1 (exp a))))
(/ (exp a) (+ 1 (exp a)))
(/ (+ 1 (exp a)) (exp a))
(+ 1 (+ (/ 1 (exp a)) (/ b (exp a))))
(+ 1 (+ (* b (+ (* 1/2 (/ b (exp a))) (/ 1 (exp a)))) (/ 1 (exp a))))
(+ 1 (+ (* b (+ (* b (+ (* 1/6 (/ b (exp a))) (* 1/2 (/ 1 (exp a))))) (/ 1 (exp a)))) (/ 1 (exp a))))
(sqrt (/ (exp a) (+ 1 (exp a))))
(+ (sqrt (/ (exp a) (+ 1 (exp a)))) (* -1/2 (* b (sqrt (/ (exp a) (pow (+ 1 (exp a)) 3))))))
(+ (sqrt (/ (exp a) (+ 1 (exp a)))) (* b (+ (* -1/2 (sqrt (/ (exp a) (pow (+ 1 (exp a)) 3)))) (* -1/2 (* (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (+ (* 1/4 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (sqrt (/ (+ 1 (exp a)) (exp a))))))))
(+ (sqrt (/ (exp a) (+ 1 (exp a)))) (* b (+ (* -1/2 (sqrt (/ (exp a) (pow (+ 1 (exp a)) 3)))) (* b (+ (* -1/2 (* (sqrt (/ (+ 1 (exp a)) (exp a))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (+ (* 1/4 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (* -1/2 (* (* 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))) (* 1/2 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (+ (* 1/4 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2))))) (+ 1 (exp a)))))))) (sqrt (/ (+ 1 (exp a)) (exp a))))))))))
(+ 1 (+ b (exp a)))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ 1 b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(+ (* 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))))
(+ (* 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))))
(+ 1/2 (* -1/4 b))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(exp b)
(* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2)))
(* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a))))))
(* b (- (/ 1 b) (/ 1 (+ 1 (exp a)))))
(* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))))
(* -1 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 b))))
Outputs
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (+ (exp b) (* -1 (* a (exp b)))))
(fma.f64 (fma.f64 #s(literal -1 binary64) a #s(literal 1 binary64)) (exp.f64 b) #s(literal 1 binary64))
(+ 1 (+ (exp b) (* a (- (* a (- 1/2 (+ (* -1 (exp b)) (* 1/2 (+ 1 (exp b)))))) (exp b)))))
(fma.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (exp.f64 b))) a) (exp.f64 b)) a (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ 1 (+ (exp b) (* a (- (* a (- (+ 1/2 (* a (- (+ (* -1 (exp b)) (* 1/2 (+ 1 (exp b)))) (+ 1/3 (+ (* -1/2 (exp b)) (* 1/6 (+ 1 (exp b)))))))) (+ (* -1 (exp b)) (* 1/2 (+ 1 (exp b)))))) (exp b)))))
(fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (exp.f64 b))) (+.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (exp.f64 b) #s(literal -1/3 binary64))) #s(literal 1/3 binary64))) a (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (exp.f64 b)))) a) (exp.f64 b)) a (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(sqrt (/ 1 (+ 1 (exp b))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(+ (sqrt (/ 1 (+ 1 (exp b)))) (* 1/2 (* (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (sqrt (+ 1 (exp b))))))
(fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) a) (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(+ (sqrt (/ 1 (+ 1 (exp b)))) (* a (+ (* 1/2 (* (sqrt (+ 1 (exp b))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (* 1/2 (* (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (+ (* 1/4 (* (+ 1 (exp b)) (pow (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) 2))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2)))))) (sqrt (+ 1 (exp b))))))))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal 1/2 binary64)) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (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)))) (fma.f64 (fma.f64 #s(literal 1/4 binary64) (exp.f64 b) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))))) a (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(+ (sqrt (/ 1 (+ 1 (exp b)))) (* a (+ (* 1/2 (* (sqrt (+ 1 (exp b))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (* a (+ (* 1/2 (* (sqrt (+ 1 (exp b))) (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (+ (* 1/4 (* (+ 1 (exp b)) (pow (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) 2))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))))) (* 1/2 (* (* 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 (exp b)) (* (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (+ (* 1/4 (* (+ 1 (exp b)) (pow (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) 2))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (- (/ 1 (+ 1 (exp b))) (/ 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)))))))) (sqrt (+ 1 (exp b))))))))))
(fma.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal 1/2 binary64)) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (fma.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (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)))) (fma.f64 (fma.f64 #s(literal 1/4 binary64) (exp.f64 b) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (-.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (+.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 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 4 binary64))))))) a (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (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)))) (fma.f64 (fma.f64 #s(literal 1/4 binary64) (exp.f64 b) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))))) a (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b))))) a (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(+ 1 (+ a (exp b)))
(+.f64 (+.f64 (exp.f64 b) a) #s(literal 1 binary64))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(+ (* 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))))
(fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (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 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(+ (* 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))))
(fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.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 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 4 binary64)))))) a (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (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 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
1
#s(literal 1 binary64)
(+ 1 a)
(+.f64 #s(literal 1 binary64) a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 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))
2
#s(literal 2 binary64)
(+ 2 a)
(+.f64 #s(literal 2 binary64) a)
(+ 2 (* a (+ 1 (* 1/2 a))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64))
(* 1/2 (+ 1 (* -1/2 b)))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))
(fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* a (- (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b))))))
(fma.f64 (fma.f64 (-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -1/16 binary64) b (*.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b)) #s(literal 1/2 binary64)))) a (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* a (- (+ (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (* a (- (* 1/2 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/8 b) (+ (* -1/16 b) (+ (* 1/24 b) (+ (* 1/6 (+ 1 (* -1/2 b))) (* 1/4 b))))))) (+ (* 1/24 (+ 1 (* -1/2 b))) (+ (* 1/4 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))) (* 1/2 (- (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b))))))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 b #s(literal -7/48 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/6 binary64) b))) #s(literal 1/2 binary64) (neg.f64 (fma.f64 (-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -1/16 binary64) b (*.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b)) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b)) #s(literal 1/4 binary64) (fma.f64 #s(literal -1/48 binary64) b #s(literal 1/24 binary64)))))) a (-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -1/16 binary64) b (*.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b)) #s(literal 1/2 binary64))))) a (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
(+ 1 (* -1/2 b))
(fma.f64 #s(literal -1/2 binary64) b #s(literal 1 binary64))
(+ 1 (+ (* -1/2 b) (* 1/4 (* a b))))
(fma.f64 b (fma.f64 #s(literal 1/4 binary64) a #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 b) (* a (+ (* 1/4 b) (* a (+ (* -1/8 b) (* 1/8 b)))))))
(fma.f64 b (fma.f64 #s(literal 1/4 binary64) a #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 b) (* a (+ (* 1/4 b) (* a (+ (* -1/8 b) (+ (* 1/8 b) (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))))))))
(fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/48 binary64) b) a) a (*.f64 #s(literal 1/4 binary64) b)) a (fma.f64 #s(literal -1/2 binary64) b #s(literal 1 binary64)))
(* -1/2 b)
(*.f64 #s(literal -1/2 binary64) b)
(+ (* -1/2 b) (* 1/4 (* a b)))
(*.f64 b (fma.f64 #s(literal 1/4 binary64) a #s(literal -1/2 binary64)))
(+ (* -1/2 b) (* a (+ (* 1/4 b) (* a (+ (* -1/8 b) (* 1/8 b))))))
(*.f64 b (fma.f64 #s(literal 1/4 binary64) a #s(literal -1/2 binary64)))
(+ (* -1/2 b) (* a (+ (* 1/4 b) (* a (+ (* -1/8 b) (+ (* 1/8 b) (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))))))))))
(fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/48 binary64) b) a) a (*.f64 #s(literal 1/4 binary64) b)) a (*.f64 #s(literal -1/2 binary64) b))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 a))
(fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))
(+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))
(fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))
(+ 1/2 (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (*.f64 a a) #s(literal -1/48 binary64)) (*.f64 a a) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))
(/ (+ (exp a) (exp b)) (exp a))
(/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a))
(sqrt (/ (exp a) (+ (exp a) (exp b))))
(sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(exp a)
(exp.f64 a)
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ 1 (* -1 (/ b (+ 1 (exp a)))))
(-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(* -1 (/ b (+ 1 (exp a))))
(/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ (+ 1 (exp a)) (exp a))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a))
(+ 1 (+ (/ 1 (exp a)) (/ b (exp a))))
(fma.f64 (+.f64 #s(literal 1 binary64) b) (exp.f64 (neg.f64 a)) #s(literal 1 binary64))
(+ 1 (+ (* b (+ (* 1/2 (/ b (exp a))) (/ 1 (exp a)))) (/ 1 (exp a))))
(+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (/.f64 b (exp.f64 a)) #s(literal 1 binary64)) (exp.f64 (neg.f64 a)))
(+ 1 (+ (* b (+ (* b (+ (* 1/6 (/ b (exp a))) (* 1/2 (/ 1 (exp a))))) (/ 1 (exp a)))) (/ 1 (exp a))))
(+.f64 (fma.f64 (fma.f64 (/.f64 b (exp.f64 a)) (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (exp.f64 (neg.f64 a))) b (exp.f64 (neg.f64 a))) #s(literal 1 binary64))
(sqrt (/ (exp a) (+ 1 (exp a))))
(sqrt.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (sqrt (/ (exp a) (+ 1 (exp a)))) (* -1/2 (* b (sqrt (/ (exp a) (pow (+ 1 (exp a)) 3))))))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))) #s(literal -1/2 binary64)) b (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(+ (sqrt (/ (exp a) (+ 1 (exp a)))) (* b (+ (* -1/2 (sqrt (/ (exp a) (pow (+ 1 (exp a)) 3)))) (* -1/2 (* (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (+ (* 1/4 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (sqrt (/ (+ 1 (exp a)) (exp a))))))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) b) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a))) (fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.f64 (*.f64 (exp.f64 a) #s(literal -3/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))))) b (sqrt.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))))) (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(+ (sqrt (/ (exp a) (+ 1 (exp a)))) (* b (+ (* -1/2 (sqrt (/ (exp a) (pow (+ 1 (exp a)) 3)))) (* b (+ (* -1/2 (* (sqrt (/ (+ 1 (exp a)) (exp a))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (+ (* 1/4 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (* -1/2 (* (* 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))) (* 1/2 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (+ (* 1/4 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2))))) (+ 1 (exp a)))))))) (sqrt (/ (+ 1 (exp a)) (exp a))))))))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a))) (fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.f64 (*.f64 (exp.f64 a) #s(literal -3/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64) (fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (-.f64 #s(literal -1 binary64) (exp.f64 a))))) b (fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.f64 (*.f64 (exp.f64 a) #s(literal -3/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))))) b (sqrt.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))))) b (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(+ 1 (+ b (exp a)))
(+.f64 (+.f64 (exp.f64 a) b) #s(literal 1 binary64))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ 1 b)
(+.f64 #s(literal 1 binary64) b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 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))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (* 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))))
(fma.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) b (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) b (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (* 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))))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (*.f64 (fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (-.f64 #s(literal -1 binary64) (exp.f64 a)))) b))) b (/.f64 (neg.f64 (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) b (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ 1/2 (* -1/4 b))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
(fma.f64 (fma.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))
(+ 2 b)
(+.f64 #s(literal 2 binary64) b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 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 2 binary64))
(exp b)
(exp.f64 b)
(* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2)))
(*.f64 (neg.f64 b) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))
(* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a))))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(* b (- (/ 1 b) (/ 1 (+ 1 (exp a)))))
(-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(* -1 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 b))))
(-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))

rewrite175.0ms (2.7%)

Memory
0.6MiB live, 209.3MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032180
051178
1207176
21445176
08354176
Stop Event
iter limit
node limit
iter limit
Counts
20 → 706
Calls
Call 1
Inputs
(/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a))
(pow.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)) #s(literal -1/2 binary64))
(+.f64 (exp.f64 b) (exp.f64 a))
(exp.f64 b)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
(+.f64 (exp.f64 b) #s(literal 1 binary64))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(exp.f64 a)
#s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(+.f64 (exp.f64 a) #s(literal 1 binary64))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
(+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))
#s(approx (exp b) (+.f64 #s(literal 1 binary64) b))
(*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
(+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64))
(/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))
(pow.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal -1 binary64))) (/.f64 (exp.f64 (neg.f64 a)) (-.f64 (exp.f64 b) (exp.f64 a))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))) #s(literal -1 binary64))) (/.f64 (exp.f64 (neg.f64 a)) (-.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))) #s(literal -1 binary64))) (/.f64 (exp.f64 (neg.f64 a)) (fma.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))) #s(literal -1 binary64))) (/.f64 (exp.f64 (neg.f64 a)) (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))
(*.f64 (/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))) (exp.f64 a)) (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (fma.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))))
(*.f64 (/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))) (exp.f64 a)) (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))
(*.f64 (/.f64 (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (exp.f64 a)) (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (fma.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))))
(*.f64 (/.f64 (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (exp.f64 a)) (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 (exp.f64 b) (exp.f64 a)) #s(literal -1 binary64)) (exp.f64 a)))
(*.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 (exp.f64 a) (exp.f64 b)) #s(literal -1 binary64)) (exp.f64 a)))
(*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))) #s(literal -1 binary64)) (exp.f64 a)))
(*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal -1 binary64)) (exp.f64 a)))
(*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 a)) (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal -1 binary64)))
(*.f64 (exp.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (exp.f64 (neg.f64 a)))
(*.f64 (pow.f64 (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (exp.f64 b) (exp.f64 a)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (exp.f64 a) (exp.f64 b)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) #s(literal -3/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) #s(literal -3/4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (neg.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 (exp.f64 a)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
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(/.f64 (neg.f64 b) (neg.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a))) (*.f64 (neg.f64 b) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) b))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) b))
(/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))
(neg.f64 (/.f64 (neg.f64 b) (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(neg.f64 (/.f64 b (neg.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)))) (/.f64 b (neg.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) b)) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 (neg.f64 a))))
(*.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))))
(*.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))) (exp.f64 (neg.f64 a))))
(*.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (exp.f64 (neg.f64 a))))
(*.f64 (/.f64 (exp.f64 a) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (pow.f64 (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (-.f64 (exp.f64 b) (exp.f64 a)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (-.f64 (exp.f64 a) (exp.f64 b)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) #s(literal -3/4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (neg.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (exp.f64 a)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (exp.f64 a)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (neg.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal -1 binary64)) #s(literal 1 binary64)) (exp.f64 a))
(*.f64 (pow.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (exp.f64 a) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (neg.f64 (exp.f64 a)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (exp.f64 a) (pow.f64 (-.f64 (exp.f64 b) (exp.f64 a)) #s(literal -1 binary64))))
(*.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (exp.f64 a) (pow.f64 (-.f64 (exp.f64 a) (exp.f64 b)) #s(literal -1 binary64))))
(*.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 (exp.f64 a) (pow.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 (exp.f64 a) (pow.f64 (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 b) (exp.f64 a)) #s(literal -1 binary64))))
(*.f64 (/.f64 (exp.f64 a) (-.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 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 a) (exp.f64 b)) #s(literal -1 binary64))))
(*.f64 (/.f64 (exp.f64 a) (-.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 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (fma.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))))
(*.f64 (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))
(*.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) #s(literal -3/4 binary64)) (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (neg.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (neg.f64 (exp.f64 a)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (neg.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64)) (neg.f64 (exp.f64 a)))
(*.f64 (neg.f64 (neg.f64 (exp.f64 a))) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) #s(literal -3/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) #s(literal -3/4 binary64)))
(*.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal -1 binary64)) (exp.f64 a))
(*.f64 (neg.f64 (exp.f64 a)) (pow.f64 (neg.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))))
(*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1 binary64))
(*.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1/2 binary64)))
(*.f64 (exp.f64 a) (pow.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal -1 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (-.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) a) #s(literal -1/2 binary64)))
(pow.f64 (*.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -2 binary64)) (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -2 binary64))) #s(literal -1/4 binary64))
(pow.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (exp.f64 a)))) (neg.f64 (neg.f64 (neg.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))
(/.f64 (neg.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal -1 binary64))) (neg.f64 (exp.f64 (neg.f64 a))))
(/.f64 (neg.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (exp.f64 a))) (neg.f64 (neg.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal -1 binary64)) (exp.f64 (neg.f64 a)))
(/.f64 (neg.f64 (exp.f64 a)) (neg.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))
(/.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1 binary64))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(neg.f64 (/.f64 (neg.f64 (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b))))
(neg.f64 (/.f64 (exp.f64 a) (neg.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (/.f64 (exp.f64 a) (neg.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -2 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) #s(literal 1 binary64)))
(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (/.f64 (exp.f64 a) (-.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (/.f64 (exp.f64 a) (pow.f64 (expm1.f64 a) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (/.f64 (exp.f64 a) (pow.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (exp.f64 a) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(*.f64 (/.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 (expm1.f64 a) #s(literal -1 binary64))))
(*.f64 (/.f64 (exp.f64 a) (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (expm1.f64 a) #s(literal -1 binary64))))
(*.f64 (/.f64 (exp.f64 a) (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a))
(*.f64 (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1 binary64))))
(*.f64 (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a))))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (exp.f64 a) (pow.f64 (expm1.f64 a) #s(literal -1 binary64))))
(*.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (exp.f64 a) (pow.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1 binary64))))
(*.f64 (neg.f64 (neg.f64 (exp.f64 a))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (exp.f64 a))
(*.f64 (neg.f64 (exp.f64 a)) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a)))))
(*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(*.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a)) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (exp.f64 a)))) (neg.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)))))
(/.f64 (neg.f64 (neg.f64 (exp.f64 a))) (neg.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(/.f64 (neg.f64 (exp.f64 a)) (-.f64 #s(literal -1 binary64) (exp.f64 a)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(neg.f64 (/.f64 (neg.f64 (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(neg.f64 (/.f64 (exp.f64 a) (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a))) (/.f64 (exp.f64 a) (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a))) #s(literal -1 binary64)))

eval116.0ms (1.8%)

Memory
-7.8MiB live, 178.7MiB allocated
Compiler

Compiled 25 853 to 3 324 computations (87.1% saved)

prune24.0ms (0.4%)

Memory
26.7MiB live, 66.1MiB allocated
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New92911940
Fresh202
Picked325
Done000
Total93413947
Accuracy
100.0%
Counts
947 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.6%
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
62.1%
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
48.4%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b #s(literal 2 binary64)))))
82.4%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
48.3%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (expm1.f64 (*.f64 b #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 b))))))
58.1%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 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)))))
52.6%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
35.2%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
34.6%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.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))))
34.2%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
34.7%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
34.7%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 (fma.f64 (-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -1/16 binary64) b (*.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b)) #s(literal 1/2 binary64)))) a (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
34.7%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
Compiler

Compiled 614 to 411 computations (33.1% saved)

simplify314.0ms (4.8%)

Memory
-26.0MiB live, 300.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(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))
cost-diff0
#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)))
cost-diff0
(/.f64 #s(literal 1 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))))
cost-diff0
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 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)))))
cost-diff0
#s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
cost-diff0
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
cost-diff192
(fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
cost-diff896
(-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b))
cost-diff0
(fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64))
cost-diff0
(fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))
cost-diff0
#s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))
cost-diff0
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
cost-diff0
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
cost-diff0
#s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
cost-diff0
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
cost-diff0
#s(approx (+ (exp a) 1) #s(literal 2 binary64))
cost-diff0
#s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))
cost-diff0
(exp.f64 a)
cost-diff0
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047332
069325
1108325
2181304
3431304
4853304
51625304
64333304
76864304
08064301
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
(exp.f64 a)
a
#s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))
#s(approx (+ (exp a) 1) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
#s(literal -1/4 binary64)
b
#s(literal 1/2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))
(fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64))
(*.f64 b b)
b
#s(literal 1/48 binary64)
#s(literal -1/4 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
#s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
(fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
(-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b))
(fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))
#s(literal -1/8 binary64)
b
#s(literal 1/4 binary64)
(*.f64 #s(literal -1/8 binary64) b)
a
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
#s(literal -1/4 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 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)))))
(/.f64 #s(literal 1 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(literal 1 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)))
(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))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
b
#s(literal 1/2 binary64)
#s(literal 2 binary64)
Outputs
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
(exp.f64 a)
a
#s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))
#s(approx (+ (exp a) 1) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
#s(literal -1/4 binary64)
b
#s(literal 1/2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))
#s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))
(fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))
(fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64))
(fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64))
(*.f64 b b)
b
#s(literal 1/48 binary64)
#s(literal -1/4 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 #s(literal 1/4 binary64) (-.f64 a b) #s(literal 1/2 binary64))))
#s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 #s(literal 1/4 binary64) (-.f64 a b) #s(literal 1/2 binary64)))
(fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/4 binary64) (-.f64 a b) #s(literal 1/2 binary64))
(-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b))
#s(literal 1/4 binary64)
(fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))
#s(literal -1/8 binary64)
b
#s(literal 1/4 binary64)
(*.f64 #s(literal -1/8 binary64) b)
a
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
#s(literal -1/4 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 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)))))
(/.f64 #s(literal 1 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(literal 1 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)))
(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))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
b
#s(literal 1/2 binary64)
#s(literal 2 binary64)

localize181.0ms (2.8%)

Memory
30.8MiB live, 184.0MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.06640625
(fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))
accuracy0.15625
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
accuracy11.262471918318502
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 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)))))
accuracy15.891757665146745
#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)))
accuracy0
(*.f64 #s(literal -1/8 binary64) b)
accuracy18.137642227962065
#s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
accuracy24.414266918131826
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
accuracy29.306593067407174
(-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b))
accuracy0.0234375
(fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))
accuracy0.0703125
(fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64))
accuracy11.262471918318502
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
accuracy31.014192143374085
#s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))
accuracy0
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
accuracy11.262471918318502
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
accuracy30.664404679488225
#s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
accuracy0
(exp.f64 a)
accuracy0.7499999989924532
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
accuracy15.789931979688022
#s(approx (+ (exp a) 1) #s(literal 2 binary64))
accuracy29.405770873957355
#s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))
Samples
81.0ms115×1valid
70.0ms140×0valid
1.0ms5exit
Compiler

Compiled 535 to 91 computations (83% saved)

Precisions
Click to see histograms. Total time spent on operations: 97.0ms
ival-mult: 35.0ms (36% of total)
ival-add: 23.0ms (23.7% of total)
const: 10.0ms (10.3% of total)
adjust: 10.0ms (10.3% of total)
ival-div: 9.0ms (9.3% of total)
ival-exp: 6.0ms (6.2% of total)
ival-sub: 3.0ms (3.1% of total)
exact: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series18.0ms (0.3%)

Memory
-12.3MiB live, 23.9MiB allocated
Counts
22 → 77
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
(exp.f64 a)
#s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))
#s(approx (+ (exp a) 1) #s(literal 2 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))
(fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64))
(-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b))
(fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
#s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (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)))))
(/.f64 #s(literal 1 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) 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)))
(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))
(*.f64 #s(literal -1/8 binary64) b)
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))
Outputs
(/ 1 (+ 1 (exp b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* 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))))
(+ (* 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))))
1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(+ 1 (exp b))
(+ 1 (+ a (exp b)))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
2
(+ 2 a)
(+ 2 (* a (+ 1 (* 1/2 a))))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(+ 1/2 (* -1/4 b))
(+ 1/2 (+ (* -1/4 b) (* 1/4 a)))
(* 1/2 (+ 1 (* -1/2 b)))
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* a (- (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b))))))
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* a (- (+ (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (* a (- (* 1/2 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/8 b) (+ (* -1/16 b) (+ (* 1/24 b) (+ (* 1/6 (+ 1 (* -1/2 b))) (* 1/4 b))))))) (+ (* 1/24 (+ 1 (* -1/2 b))) (+ (* 1/4 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))) (* 1/2 (- (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b))))))
(/ (exp a) (+ (exp a) (exp b)))
(exp a)
(+ (exp a) (exp b))
(+ 1 (exp a))
(* 1/4 a)
(* a (+ 1/4 (+ (* -1/4 (/ b a)) (* 1/2 (/ 1 a)))))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(* -1 (* a (- (* -1 (/ (+ 1/2 (* -1/4 b)) a)) 1/4)))
(/ (exp a) (+ 1 (exp a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(+ (* 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))))
(+ (* 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))))
(+ 1 (+ b (exp a)))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
1/2
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
-1/4
(- (* 1/48 (pow b 2)) 1/4)
1/4
(+ 1/2 (* 1/4 a))
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(* -1/8 b)
(+ 1/2 (* 1/6 b))
(+ 1 (* 1/2 b))
(+ 1 (* b (+ 1/2 (* 1/6 b))))
(* -1/4 b)
(* b (- (* 1/2 (/ 1 b)) 1/4))
(* 1/48 (pow b 3))
(* (pow b 3) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))
(* (pow b 3) (- (+ 1/48 (/ 1/2 (pow b 3))) (* 1/4 (/ 1 (pow b 2)))))
(* 1/48 (pow b 2))
(* (pow b 2) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))
(* b (- (+ (* 1/4 (/ a b)) (* 1/2 (/ 1 b))) 1/4))
(* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2)))
(* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a))))))
(* 1/6 (pow b 3))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (* 2 (/ 1 (pow b 3)))))))
(* 1/6 b)
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(* 1/6 (pow b 2))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))
(* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) 1/48)))
(* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) (+ 1/48 (/ 1/2 (pow b 3))))))
(* -1 (* b (+ 1/4 (* -1 (/ (+ 1/2 (* 1/4 a)) b)))))
(* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))) b)) 1/6)))
Calls

6 calls:

TimeVariablePointExpression
6.0ms
b
@0
((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (+ (exp a) 1) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (* -1/4 b) 1/2) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (+ (* (* b b) 1/48) -1/4) (- (+ (* -1/8 b) 1/4) (* -1/8 b)) (+ (* (- (+ (* -1/8 b) 1/4) (* -1/8 b)) a) (+ (* -1/4 b) 1/2)) (/ (exp a) (+ (exp a) (exp b))) (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (* -1/8 b) (+ (* 1/6 b) 1/2) (+ (* (+ (* 1/6 b) 1/2) b) 1))
3.0ms
b
@inf
((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (+ (exp a) 1) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (* -1/4 b) 1/2) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (+ (* (* b b) 1/48) -1/4) (- (+ (* -1/8 b) 1/4) (* -1/8 b)) (+ (* (- (+ (* -1/8 b) 1/4) (* -1/8 b)) a) (+ (* -1/4 b) 1/2)) (/ (exp a) (+ (exp a) (exp b))) (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (* -1/8 b) (+ (* 1/6 b) 1/2) (+ (* (+ (* 1/6 b) 1/2) b) 1))
3.0ms
b
@-inf
((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (+ (exp a) 1) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (* -1/4 b) 1/2) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (+ (* (* b b) 1/48) -1/4) (- (+ (* -1/8 b) 1/4) (* -1/8 b)) (+ (* (- (+ (* -1/8 b) 1/4) (* -1/8 b)) a) (+ (* -1/4 b) 1/2)) (/ (exp a) (+ (exp a) (exp b))) (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (* -1/8 b) (+ (* 1/6 b) 1/2) (+ (* (+ (* 1/6 b) 1/2) b) 1))
2.0ms
a
@inf
((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (+ (exp a) 1) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (* -1/4 b) 1/2) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (+ (* (* b b) 1/48) -1/4) (- (+ (* -1/8 b) 1/4) (* -1/8 b)) (+ (* (- (+ (* -1/8 b) 1/4) (* -1/8 b)) a) (+ (* -1/4 b) 1/2)) (/ (exp a) (+ (exp a) (exp b))) (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (* -1/8 b) (+ (* 1/6 b) 1/2) (+ (* (+ (* 1/6 b) 1/2) b) 1))
1.0ms
a
@-inf
((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (+ (exp a) 1) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (* -1/4 b) 1/2) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (+ (* (* b b) 1/48) -1/4) (- (+ (* -1/8 b) 1/4) (* -1/8 b)) (+ (* (- (+ (* -1/8 b) 1/4) (* -1/8 b)) a) (+ (* -1/4 b) 1/2)) (/ (exp a) (+ (exp a) (exp b))) (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (* -1/8 b) (+ (* 1/6 b) 1/2) (+ (* (+ (* 1/6 b) 1/2) b) 1))

simplify166.0ms (2.5%)

Memory
3.0MiB live, 157.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02891212
18781135
22865977
08528901
Stop Event
iter limit
node limit
Counts
77 → 77
Calls
Call 1
Inputs
(/ 1 (+ 1 (exp b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* 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))))
(+ (* 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))))
1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(+ 1 (exp b))
(+ 1 (+ a (exp b)))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
2
(+ 2 a)
(+ 2 (* a (+ 1 (* 1/2 a))))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(+ 1/2 (* -1/4 b))
(+ 1/2 (+ (* -1/4 b) (* 1/4 a)))
(* 1/2 (+ 1 (* -1/2 b)))
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* a (- (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b))))))
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* a (- (+ (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (* a (- (* 1/2 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/8 b) (+ (* -1/16 b) (+ (* 1/24 b) (+ (* 1/6 (+ 1 (* -1/2 b))) (* 1/4 b))))))) (+ (* 1/24 (+ 1 (* -1/2 b))) (+ (* 1/4 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))) (* 1/2 (- (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b))))))
(/ (exp a) (+ (exp a) (exp b)))
(exp a)
(+ (exp a) (exp b))
(+ 1 (exp a))
(* 1/4 a)
(* a (+ 1/4 (+ (* -1/4 (/ b a)) (* 1/2 (/ 1 a)))))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(* -1 (* a (- (* -1 (/ (+ 1/2 (* -1/4 b)) a)) 1/4)))
(/ (exp a) (+ 1 (exp a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(+ (* 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))))
(+ (* 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))))
(+ 1 (+ b (exp a)))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
1/2
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
-1/4
(- (* 1/48 (pow b 2)) 1/4)
1/4
(+ 1/2 (* 1/4 a))
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(* -1/8 b)
(+ 1/2 (* 1/6 b))
(+ 1 (* 1/2 b))
(+ 1 (* b (+ 1/2 (* 1/6 b))))
(* -1/4 b)
(* b (- (* 1/2 (/ 1 b)) 1/4))
(* 1/48 (pow b 3))
(* (pow b 3) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))
(* (pow b 3) (- (+ 1/48 (/ 1/2 (pow b 3))) (* 1/4 (/ 1 (pow b 2)))))
(* 1/48 (pow b 2))
(* (pow b 2) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))
(* b (- (+ (* 1/4 (/ a b)) (* 1/2 (/ 1 b))) 1/4))
(* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2)))
(* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a))))))
(* 1/6 (pow b 3))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (* 2 (/ 1 (pow b 3)))))))
(* 1/6 b)
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(* 1/6 (pow b 2))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))
(* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) 1/48)))
(* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) (+ 1/48 (/ 1/2 (pow b 3))))))
(* -1 (* b (+ 1/4 (* -1 (/ (+ 1/2 (* 1/4 a)) b)))))
(* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))) b)) 1/6)))
Outputs
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(+ (* 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))))
(fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (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 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(+ (* 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))))
(fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.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 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 4 binary64)))))) a (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (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 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
1
#s(literal 1 binary64)
(+ 1 a)
(+.f64 #s(literal 1 binary64) a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 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))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (+ a (exp b)))
(+.f64 (+.f64 (exp.f64 b) a) #s(literal 1 binary64))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) (exp.f64 b)))
2
#s(literal 2 binary64)
(+ 2 a)
(+.f64 #s(literal 2 binary64) a)
(+ 2 (* a (+ 1 (* 1/2 a))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64))
(+ 1/2 (* -1/4 b))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/4 b) (* 1/4 a)))
(fma.f64 #s(literal 1/4 binary64) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
(* 1/2 (+ 1 (* -1/2 b)))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))
(fma.f64 #s(literal 1/4 binary64) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* a (- (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b))))))
(fma.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/16 binary64) b)) a #s(literal 1/4 binary64)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* a (- (+ (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (* a (- (* 1/2 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/8 b) (+ (* -1/16 b) (+ (* 1/24 b) (+ (* 1/6 (+ 1 (* -1/2 b))) (* 1/4 b))))))) (+ (* 1/24 (+ 1 (* -1/2 b))) (+ (* 1/4 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))) (* 1/2 (- (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b))))))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 b #s(literal -7/48 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/6 binary64) b))) #s(literal 1/2 binary64) (neg.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/16 binary64) b)) #s(literal 1/2 binary64) (+.f64 #s(literal 5/48 binary64) (*.f64 #s(literal -1/48 binary64) b))))) a (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/16 binary64) b))) a #s(literal 1/4 binary64)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(exp a)
(exp.f64 a)
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(* 1/4 a)
(*.f64 #s(literal 1/4 binary64) a)
(* a (+ 1/4 (+ (* -1/4 (/ b a)) (* 1/2 (/ 1 a)))))
(*.f64 (+.f64 (fma.f64 (/.f64 b a) #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) #s(literal 1/4 binary64)) a)
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(* -1 (* a (- (* -1 (/ (+ 1/2 (* -1/4 b)) a)) 1/4)))
(*.f64 (neg.f64 a) (-.f64 #s(literal -1/4 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(fma.f64 (neg.f64 b) (/.f64 (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))))
(+ (* 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))))
(fma.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) b (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) b (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (* 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))))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (*.f64 (fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (fma.f64 #s(literal -1 binary64) (exp.f64 a) #s(literal -1 binary64)))) b))) b (/.f64 (neg.f64 (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) b (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ 1 (+ b (exp a)))
(+.f64 (+.f64 b (exp.f64 a)) #s(literal 1 binary64))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
(fma.f64 (fma.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))
-1/4
#s(literal -1/4 binary64)
(- (* 1/48 (pow b 2)) 1/4)
(fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64))
1/4
#s(literal 1/4 binary64)
(+ 1/2 (* 1/4 a))
(fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))
(+ 2 b)
(+.f64 #s(literal 2 binary64) b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 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 2 binary64))
(* -1/8 b)
(*.f64 #s(literal -1/8 binary64) b)
(+ 1/2 (* 1/6 b))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
(+ 1 (* 1/2 b))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
(+ 1 (* b (+ 1/2 (* 1/6 b))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* b (- (* 1/2 (/ 1 b)) 1/4))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
(* 1/48 (pow b 3))
(*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64))
(* (pow b 3) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))
(*.f64 (-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 3 binary64)))
(* (pow b 3) (- (+ 1/48 (/ 1/2 (pow b 3))) (* 1/4 (/ 1 (pow b 2)))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 3 binary64))) #s(literal 1/48 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 3 binary64)))
(* 1/48 (pow b 2))
(*.f64 (*.f64 b b) #s(literal 1/48 binary64))
(* (pow b 2) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))
(*.f64 (*.f64 (-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 b b))) b) b)
(* b (- (+ (* 1/4 (/ a b)) (* 1/2 (/ 1 b))) 1/4))
(+.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 (/.f64 a b) #s(literal 1/4 binary64) #s(literal -1/4 binary64)) b))
(* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2)))
(*.f64 (neg.f64 (exp.f64 a)) (/.f64 b (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))
(* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a))))))
(fma.f64 (neg.f64 b) (/.f64 (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))))
(* 1/6 (pow b 3))
(*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/6 binary64))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) b)
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b)
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (* 2 (/ 1 (pow b 3)))))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 b #s(literal 3 binary64))) #s(literal 1/6 binary64)) (pow.f64 b #s(literal 3 binary64))))
(* 1/6 b)
(*.f64 #s(literal 1/6 binary64) b)
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
(* 1/6 (pow b 2))
(*.f64 (*.f64 b b) #s(literal 1/6 binary64))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b)
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))
(* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
(* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) 1/48)))
(*.f64 (-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 3 binary64)))
(* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) (+ 1/48 (/ 1/2 (pow b 3))))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 3 binary64))) #s(literal 1/48 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 3 binary64)))
(* -1 (* b (+ 1/4 (* -1 (/ (+ 1/2 (* 1/4 a)) b)))))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)) b) b (*.f64 #s(literal -1/4 binary64) b))
(* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))))
(fma.f64 (neg.f64 b) (/.f64 (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))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))
(*.f64 (neg.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1/2 binary64)) b))) (pow.f64 b #s(literal 3 binary64)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))) b)) 1/6)))
(*.f64 (neg.f64 (pow.f64 b #s(literal 3 binary64))) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) (*.f64 b b)) (+.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1/2 binary64))) b) #s(literal 1/6 binary64)))

rewrite194.0ms (3%)

Memory
13.1MiB live, 259.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047301
069301
1303301
22376301
08100297
Stop Event
iter limit
node limit
iter limit
Counts
22 → 368
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
(exp.f64 a)
#s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))
#s(approx (+ (exp a) 1) #s(literal 2 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))
(fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64))
(-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b))
(fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
#s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (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)))))
(/.f64 #s(literal 1 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) 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)))
(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))
(*.f64 #s(literal -1/8 binary64) b)
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))
Outputs
(*.f64 (pow.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))) #s(literal -1 binary64)) (exp.f64 a))
(*.f64 (neg.f64 (exp.f64 a)) (pow.f64 (neg.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))))
(*.f64 (exp.f64 a) (pow.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (/.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))) (exp.f64 a)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))) (exp.f64 a)) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (exp.f64 a)))) (neg.f64 (neg.f64 (neg.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (exp.f64 a))) (neg.f64 (neg.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (exp.f64 a)) (neg.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))) (exp.f64 a)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))) (exp.f64 a))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))) (exp.f64 a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))) (exp.f64 a)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))) (exp.f64 a)))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
(neg.f64 (/.f64 (neg.f64 (exp.f64 a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (exp.f64 a) (neg.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))) (/.f64 (exp.f64 a) (neg.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))) (exp.f64 a))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (exp.f64 a))
(*.f64 (exp.f64 a) #s(literal 1 binary64))
(exp.f64 a)
#s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))
#s(approx (+ (exp a) 1) #s(literal 2 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
(*.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/64 binary64) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 b b) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/8 binary64) b))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/16 binary64) (*.f64 b b) #s(literal -1/4 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 b b) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/8 binary64) b))) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/64 binary64) #s(literal 1/8 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/16 binary64) (*.f64 b b)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/64 binary64) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 b b) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/8 binary64) b))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 b b)) (fma.f64 #s(literal -1/4 binary64) b #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/16 binary64) (*.f64 b b))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 b b) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/64 binary64) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 b b)) (*.f64 #s(literal -1/8 binary64) b)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/64 binary64) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 b b) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/8 binary64) b)))))
(/.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal -1/4 binary64) b #s(literal -1/2 binary64)))
(/.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/64 binary64) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 b b)) (*.f64 #s(literal -1/8 binary64) b))))
(/.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/64 binary64) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/16 binary64) (*.f64 b b) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/8 binary64) b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/16 binary64) (*.f64 b b) #s(literal -1/4 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 b b) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/8 binary64) b))) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/64 binary64) #s(literal 1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/16 binary64) (*.f64 b b) #s(literal -1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 b b) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/8 binary64) b))) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/64 binary64) #s(literal 1/8 binary64))))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 b b)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))))
(-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 b b)) (fma.f64 #s(literal -1/4 binary64) b #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/4 binary64) b #s(literal -1/2 binary64))))
(+.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) b) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) b) #s(literal 3 binary64))) (pow.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) b) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) b) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal -1/2 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) b) #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) b) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) b) #s(literal 1/2 binary64))) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) b) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) b) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) b))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) b) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) b) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) b) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) b) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) b) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal -1/2 binary64))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal -1/2 binary64)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) b) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) b)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) b) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) b) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) b) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) b) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) b) #s(literal 3 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) b) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) b) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) b) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal -1/2 binary64)))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) b) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) b) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) b) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) b) #s(literal 3 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) b) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) b) #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal -1/2 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) b) #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) b) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) b) #s(literal 1/2 binary64))) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) b) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal -1/2 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) b) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) b) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) b) #s(literal 1/2 binary64))) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) b) #s(literal 3 binary64)))))
(fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
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(*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b)) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal -1 binary64))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b))))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b))))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b)) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b)) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 3 binary64)) #s(literal 1 binary64))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (*.f64 b #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 1 binary64))
(fma.f64 b (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b))) (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b))))
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal -1 binary64))) (pow.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal -1 binary64)) #s(literal -1 binary64)))
(+.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b))

eval66.0ms (1%)

Memory
-15.2MiB live, 144.0MiB allocated
Compiler

Compiled 22 254 to 2 260 computations (89.8% saved)

prune30.0ms (0.5%)

Memory
-0.6MiB live, 77.9MiB allocated
Pruning

27 alts after pruning (21 fresh and 6 done)

PrunedKeptTotal
New44816464
Fresh156
Picked145
Done022
Total45027477
Accuracy
100.0%
Counts
477 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.6%
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
62.1%
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
35.9%
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
36.0%
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
36.1%
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
48.4%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b #s(literal 2 binary64)))))
82.4%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
48.3%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (expm1.f64 (*.f64 b #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 b))))))
58.1%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 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)))))
58.1%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
39.9%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 b b)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
58.1%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
57.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
52.6%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
57.4%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64)))))
35.2%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
26.4%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b)))))
26.7%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) b)))))
34.6%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.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))))
34.2%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
34.7%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
14.3%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64)))))
3.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
36.4%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
34.7%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 #s(approx (- (+ (* -1/8 b) 1/4) (* -1/8 b)) #s(literal 1/4 binary64)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
36.3%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/4) (* -1/8 b)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
3.7%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/4) (* -1/8 b)) a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal 1/4 binary64) a))))
Compiler

Compiled 1 414 to 966 computations (31.7% saved)

simplify23.0ms (0.4%)

Memory
-6.9MiB live, 35.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64))
cost-diff0
#s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64))))
cost-diff0
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
cost-diff0
(fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64))
cost-diff0
#s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64)))
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64))))
cost-diff0
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64)))))
cost-diff0
(+.f64 #s(literal 2 binary64) b)
cost-diff0
#s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b)))
cost-diff0
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
cost-diff0
#s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))
cost-diff0
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
cost-diff0
#s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64))))
cost-diff0
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047501
070513
1103503
2154489
3365489
4694489
51163489
61256489
01256479
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64))))
#s(literal 1 binary64)
#s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
(fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) b #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64))))
(/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))
(fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))
#s(literal 1/6 binary64)
b
#s(literal -1/2 binary64)
(fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64))
#s(literal 1/36 binary64)
(*.f64 b b)
#s(literal -1/4 binary64)
#s(literal 2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
#s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(literal 1 binary64) #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)
b
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64))))
#s(literal 1 binary64)
#s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64)))
(fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64)))
(*.f64 (*.f64 b b) #s(literal 1/6 binary64))
(*.f64 b b)
b
#s(literal 1/6 binary64)
#s(literal 2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64))))
#s(literal 1 binary64)
#s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
(fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64))
(/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64))
#s(literal 1/36 binary64)
(*.f64 b b)
b
#s(literal -1/4 binary64)
(fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))
#s(literal 1/6 binary64)
#s(literal -1/2 binary64)
#s(literal 2 binary64)
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)) b #s(literal 2 binary64))))
#s(literal 1 binary64)
#s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
#s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)) b #s(literal 2 binary64)))
(fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64))
(fma.f64 (fma.f64 (/.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)) b #s(literal 2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) b #s(literal 1 binary64))
(fma.f64 (/.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64))))
(/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)))
(/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))
(/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))
(fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))
#s(literal 1/6 binary64)
b
#s(literal -1/2 binary64)
(fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64))
(fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64))
#s(literal 1/36 binary64)
(*.f64 b b)
#s(literal -1/4 binary64)
#s(literal 2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
#s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(literal 1 binary64) #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)
b
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) b) b)) b #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) b) b)) b #s(literal 2 binary64))))
#s(literal 1 binary64)
#s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64)))
#s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) b) b)) b #s(literal 2 binary64)))
(fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64))
(fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) b) b)) b #s(literal 2 binary64))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64)))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) b) b))
(*.f64 (*.f64 b b) #s(literal 1/6 binary64))
(*.f64 (*.f64 #s(literal 1/6 binary64) b) b)
(*.f64 b b)
b
#s(literal 1/6 binary64)
#s(literal 2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (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 a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)) b #s(literal 2 binary64))))
#s(literal 1 binary64)
#s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
#s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)) b #s(literal 2 binary64)))
(fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64))
(fma.f64 (fma.f64 (/.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)) b #s(literal 2 binary64))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64))
(fma.f64 (/.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)))
(/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64))
(fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64))
#s(literal 1/36 binary64)
(*.f64 b b)
b
#s(literal -1/4 binary64)
(fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))
#s(literal 1/6 binary64)
#s(literal -1/2 binary64)
#s(literal 2 binary64)

localize140.0ms (2.1%)

Memory
34.7MiB live, 147.9MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.16015625
(fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))
accuracy11.02029446005616
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
accuracy15.478712893112286
(/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)))
accuracy15.730107255327408
#s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
accuracy0.17578125
(*.f64 (*.f64 b b) #s(literal 1/6 binary64))
accuracy11.02029446005616
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64)))))
accuracy15.730107255327408
#s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64)))
accuracy31.298975476160454
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64)))
accuracy0
(+.f64 #s(literal 2 binary64) b)
accuracy0.015625
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b)))
accuracy11.02029446005616
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
accuracy30.34474714558701
#s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))
accuracy11.02029446005616
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
accuracy29.588666733590088
#s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))
accuracy0.16015625
(fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))
accuracy11.02029446005616
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
accuracy15.474157732248063
(/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))
accuracy15.730107255327408
#s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
Samples
111.0ms254×0valid
3.0ms5exit
Compiler

Compiled 795 to 90 computations (88.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 91.0ms
ival-exp: 43.0ms (47.2% of total)
ival-mult: 15.0ms (16.4% of total)
ival-add: 13.0ms (14.3% of total)
const: 10.0ms (11% of total)
ival-div: 8.0ms (8.8% of total)
adjust: 1.0ms (1.1% of total)
exact: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series14.0ms (0.2%)

Memory
-23.8MiB live, 19.1MiB allocated
Counts
23 → 49
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64))))
#s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
#s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b)))
#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))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64))))
#s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64)))
(fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64))))
#s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
(fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))
(fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64)))
(*.f64 (*.f64 b b) #s(literal 1/6 binary64))
(/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)))
Outputs
(/ 1 (+ 1 (exp b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* 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))))
(+ (* 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))))
(/ (exp a) (+ (exp a) (exp b)))
1/2
(+ 1/2 (* 1/6 b))
(/ (exp a) (+ 1 (exp a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(+ (* 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))))
(+ (* 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))))
(+ 1/2 (* -1/4 b))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
2
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(+ 2 (* -2/3 b))
(+ 2 (* b (- (* 2/9 b) 2/3)))
(+ 2 (* b (- (* b (+ 2/9 (* -2/27 b))) 2/3)))
-1/2
(- (* 1/6 b) 1/2)
1
(+ 1 (* 1/2 b))
(+ 1 (* b (+ 1/2 (* 1/6 b))))
(* 1/6 (pow b 2))
(* 1/6 b)
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(+ 1 (exp b))
b
(* b (+ 1 (* 2 (/ 1 b))))
(* 1/6 (pow b 3))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (* 2 (/ 1 (pow b 3)))))))
(/ 6 b)
(/ (- 6 (* 18 (/ 1 b))) b)
(/ (- (+ 6 (/ 54 (pow b 2))) (* 18 (/ 1 b))) b)
(/ (- (+ 6 (/ 54 (pow b 2))) (+ (* 18 (/ 1 b)) (* 162 (/ 1 (pow b 3))))) b)
(* b (- 1/6 (* 1/2 (/ 1 b))))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))) b)) 1/6)))
(* -1 (/ (- (* 18 (/ 1 b)) 6) b))
(* -1 (/ (- (* -1 (/ (- (* 54 (/ 1 b)) 18) b)) 6) b))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 162 (/ 1 b)) 54) b)) 18) b)) 6) b))
(* -1 (* b (- (* 1/2 (/ 1 b)) 1/6)))
Calls

6 calls:

TimeVariablePointExpression
4.0ms
a
@inf
((/ 1 (/ (+ (* 1/6 b) -1/2) (+ (* 1/36 (* b b)) -1/4))) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ 2 b) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ (* (+ (* (/ (+ (* 1/36 (* b b)) -1/4) (+ (* 1/6 b) -1/2)) b) 1) b) 2) (/ (+ (* 1/6 b) -1/2) (+ (* 1/36 (* b b)) -1/4)) (+ (* 1/6 b) -1/2) (+ (* (+ (* 1/6 b) 1/2) b) 1) (* (* b b) 1/6) (/ (+ (* 1/36 (* b b)) -1/4) (+ (* 1/6 b) -1/2)))
2.0ms
b
@inf
((/ 1 (/ (+ (* 1/6 b) -1/2) (+ (* 1/36 (* b b)) -1/4))) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ 2 b) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ (* (+ (* (/ (+ (* 1/36 (* b b)) -1/4) (+ (* 1/6 b) -1/2)) b) 1) b) 2) (/ (+ (* 1/6 b) -1/2) (+ (* 1/36 (* b b)) -1/4)) (+ (* 1/6 b) -1/2) (+ (* (+ (* 1/6 b) 1/2) b) 1) (* (* b b) 1/6) (/ (+ (* 1/36 (* b b)) -1/4) (+ (* 1/6 b) -1/2)))
2.0ms
b
@-inf
((/ 1 (/ (+ (* 1/6 b) -1/2) (+ (* 1/36 (* b b)) -1/4))) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ 2 b) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ (* (+ (* (/ (+ (* 1/36 (* b b)) -1/4) (+ (* 1/6 b) -1/2)) b) 1) b) 2) (/ (+ (* 1/6 b) -1/2) (+ (* 1/36 (* b b)) -1/4)) (+ (* 1/6 b) -1/2) (+ (* (+ (* 1/6 b) 1/2) b) 1) (* (* b b) 1/6) (/ (+ (* 1/36 (* b b)) -1/4) (+ (* 1/6 b) -1/2)))
2.0ms
b
@0
((/ 1 (/ (+ (* 1/6 b) -1/2) (+ (* 1/36 (* b b)) -1/4))) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ 2 b) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ (* (+ (* (/ (+ (* 1/36 (* b b)) -1/4) (+ (* 1/6 b) -1/2)) b) 1) b) 2) (/ (+ (* 1/6 b) -1/2) (+ (* 1/36 (* b b)) -1/4)) (+ (* 1/6 b) -1/2) (+ (* (+ (* 1/6 b) 1/2) b) 1) (* (* b b) 1/6) (/ (+ (* 1/36 (* b b)) -1/4) (+ (* 1/6 b) -1/2)))
2.0ms
a
@-inf
((/ 1 (/ (+ (* 1/6 b) -1/2) (+ (* 1/36 (* b b)) -1/4))) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ 2 b) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ (* (+ (* (/ (+ (* 1/36 (* b b)) -1/4) (+ (* 1/6 b) -1/2)) b) 1) b) 2) (/ (+ (* 1/6 b) -1/2) (+ (* 1/36 (* b b)) -1/4)) (+ (* 1/6 b) -1/2) (+ (* (+ (* 1/6 b) 1/2) b) 1) (* (* b b) 1/6) (/ (+ (* 1/36 (* b b)) -1/4) (+ (* 1/6 b) -1/2)))

simplify199.0ms (3%)

Memory
-5.7MiB live, 106.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0209700
1595679
21658653
35879647
08188603
Stop Event
iter limit
node limit
Counts
49 → 48
Calls
Call 1
Inputs
(/ 1 (+ 1 (exp b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* 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))))
(+ (* 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))))
(/ (exp a) (+ (exp a) (exp b)))
1/2
(+ 1/2 (* 1/6 b))
(/ (exp a) (+ 1 (exp a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(+ (* 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))))
(+ (* 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))))
(+ 1/2 (* -1/4 b))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
2
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(+ 2 (* -2/3 b))
(+ 2 (* b (- (* 2/9 b) 2/3)))
(+ 2 (* b (- (* b (+ 2/9 (* -2/27 b))) 2/3)))
-1/2
(- (* 1/6 b) 1/2)
1
(+ 1 (* 1/2 b))
(+ 1 (* b (+ 1/2 (* 1/6 b))))
(* 1/6 (pow b 2))
(* 1/6 b)
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(+ 1 (exp b))
b
(* b (+ 1 (* 2 (/ 1 b))))
(* 1/6 (pow b 3))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (* 2 (/ 1 (pow b 3)))))))
(/ 6 b)
(/ (- 6 (* 18 (/ 1 b))) b)
(/ (- (+ 6 (/ 54 (pow b 2))) (* 18 (/ 1 b))) b)
(/ (- (+ 6 (/ 54 (pow b 2))) (+ (* 18 (/ 1 b)) (* 162 (/ 1 (pow b 3))))) b)
(* b (- 1/6 (* 1/2 (/ 1 b))))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))) b)) 1/6)))
(* -1 (/ (- (* 18 (/ 1 b)) 6) b))
(* -1 (/ (- (* -1 (/ (- (* 54 (/ 1 b)) 18) b)) 6) b))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 162 (/ 1 b)) 54) b)) 18) b)) 6) b))
(* -1 (* b (- (* 1/2 (/ 1 b)) 1/6)))
Outputs
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(+ (* 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))))
(fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (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 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(+ (* 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))))
(fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.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 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 4 binary64)))))) a (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (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 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 b))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(fma.f64 (/.f64 (neg.f64 b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (exp.f64 a) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (* 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))))
(fma.f64 (fma.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) b (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (neg.f64 b) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (* 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))))
(fma.f64 (neg.f64 (fma.f64 b (fma.f64 (fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (-.f64 #s(literal -1 binary64) (exp.f64 a)))) b (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) b (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ 1/2 (* -1/4 b))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
(fma.f64 (fma.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))
2
#s(literal 2 binary64)
(+ 2 b)
(+.f64 #s(literal 2 binary64) b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 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 2 binary64))
(+ 2 (* -2/3 b))
(fma.f64 #s(literal -2/3 binary64) b #s(literal 2 binary64))
(+ 2 (* b (- (* 2/9 b) 2/3)))
(fma.f64 (fma.f64 #s(literal 2/9 binary64) b #s(literal -2/3 binary64)) b #s(literal 2 binary64))
(+ 2 (* b (- (* b (+ 2/9 (* -2/27 b))) 2/3)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -2/27 binary64) b #s(literal 2/9 binary64)) b #s(literal -2/3 binary64)) b #s(literal 2 binary64))
-1/2
#s(literal -1/2 binary64)
(- (* 1/6 b) 1/2)
(fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 b))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
(+ 1 (* b (+ 1/2 (* 1/6 b))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))
(* 1/6 (pow b 2))
(*.f64 (*.f64 b b) #s(literal 1/6 binary64))
(* 1/6 b)
(*.f64 #s(literal 1/6 binary64) b)
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
b
(* b (+ 1 (* 2 (/ 1 b))))
(+.f64 #s(literal 2 binary64) b)
(* 1/6 (pow b 3))
(*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/6 binary64))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) b)
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (*.f64 b b) b)
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (* 2 (/ 1 (pow b 3)))))))
(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))
(/ 6 b)
(/.f64 #s(literal 6 binary64) b)
(/ (- 6 (* 18 (/ 1 b))) b)
(/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) b)) b)
(/ (- (+ 6 (/ 54 (pow b 2))) (* 18 (/ 1 b))) b)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 54 binary64) b) #s(literal 18 binary64)) b) #s(literal -6 binary64)) b)
(/ (- (+ 6 (/ 54 (pow b 2))) (+ (* 18 (/ 1 b)) (* 162 (/ 1 (pow b 3))))) b)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 54 binary64) b) #s(literal 18 binary64)) b) (-.f64 (/.f64 #s(literal 162 binary64) (pow.f64 b #s(literal 3 binary64))) #s(literal 6 binary64))) b)
(* b (- 1/6 (* 1/2 (/ 1 b))))
(fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b)
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1/2 binary64)) b) #s(literal -1/6 binary64)) (pow.f64 b #s(literal 3 binary64)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))) b)) 1/6)))
(*.f64 (-.f64 (/.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) b) b) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) b)) b) #s(literal -1/6 binary64)) (pow.f64 b #s(literal 3 binary64)))
(* -1 (/ (- (* 18 (/ 1 b)) 6) b))
(/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) b)) b)
(* -1 (/ (- (* -1 (/ (- (* 54 (/ 1 b)) 18) b)) 6) b))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 54 binary64) b) #s(literal 18 binary64)) b) #s(literal -6 binary64)) b)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 162 (/ 1 b)) 54) b)) 18) b)) 6) b))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -18 binary64) (/.f64 (-.f64 (/.f64 #s(literal 162 binary64) b) #s(literal 54 binary64)) b)) b) #s(literal -6 binary64)) b)
(* -1 (* b (- (* 1/2 (/ 1 b)) 1/6)))
(fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))

rewrite214.0ms (3.3%)

Memory
17.1MiB live, 139.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047405
070397
1296334
21866334
08200319
Stop Event
iter limit
node limit
iter limit
Counts
23 → 590
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64))))
#s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
#s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b)))
#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))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64))))
#s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64)))
(fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64))))
#s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
(fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))
(fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64)))
(*.f64 (*.f64 b b) #s(literal 1/6 binary64))
(/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)))
Outputs
(*.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal -1/8 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/1296 binary64) (pow.f64 b #s(literal 4 binary64)) #s(literal -1/16 binary64)) #s(literal -1 binary64))) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal -1/12 binary64)))) (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal -1/8 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 1/46656 binary64) #s(literal -1/64 binary64)) #s(literal -1 binary64))) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal -1/12 binary64)))) (fma.f64 #s(literal 1/1296 binary64) (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 b b) #s(literal -1/144 binary64))))))
(*.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal -1/8 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal -1/12 binary64)))) (pow.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/1296 binary64) (pow.f64 b #s(literal 4 binary64)) #s(literal -1/16 binary64)) #s(literal -1 binary64))) (/.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 1/46656 binary64) #s(literal -1/64 binary64)) #s(literal -1 binary64))) (/.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/1296 binary64) (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 b b) #s(literal -1/144 binary64))))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/1296 binary64) (pow.f64 b #s(literal 4 binary64)) #s(literal -1/16 binary64)) (fma.f64 #s(literal 1/216 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal -1/8 binary64))) (/.f64 (pow.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal -1/12 binary64)))) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 1/46656 binary64) #s(literal -1/64 binary64)) (fma.f64 #s(literal 1/216 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal -1/8 binary64))) (/.f64 (pow.f64 (fma.f64 #s(literal 1/1296 binary64) (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 b b) #s(literal -1/144 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal -1/12 binary64)))) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/1296 binary64) (pow.f64 b #s(literal 4 binary64)) #s(literal -1/16 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 1/46656 binary64) #s(literal -1/64 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/1296 binary64) (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 b b) #s(literal -1/144 binary64))))))
(*.f64 (/.f64 (fma.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 1/46656 binary64) #s(literal -1/64 binary64)) (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (/.f64 (pow.f64 (fma.f64 #s(literal 1/1296 binary64) (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 b b) #s(literal -1/144 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/1296 binary64) (pow.f64 b #s(literal 4 binary64)) #s(literal -1/16 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 1/46656 binary64) #s(literal -1/64 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/1296 binary64) (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 b b) #s(literal -1/144 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (neg.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/216 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal -1/12 binary64)))) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/216 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal -1/8 binary64))) (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal -1/12 binary64)))))
(*.f64 (pow.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal -1/8 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal -1/12 binary64)))) #s(literal -1 binary64))))
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(-.f64 (/.f64 (pow.f64 (*.f64 b #s(literal 1/6 binary64)) #s(literal 4 binary64)) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1/16 binary64) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (neg.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 b #s(literal 1/6 binary64)) #s(literal 4 binary64)) (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64))) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1/16 binary64) (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64))) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 b b) #s(literal 1/36 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(-.f64 (*.f64 b #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 (*.f64 b b) #s(literal 1/36 binary64)) (pow.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (*.f64 #s(literal -1/4 binary64) (pow.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 b b) #s(literal 1/36 binary64)) (pow.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(+.f64 (*.f64 (pow.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 b b) #s(literal 1/36 binary64))) (*.f64 (pow.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1/4 binary64)))
(+.f64 (*.f64 (pow.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 b b) #s(literal 1/36 binary64))))
(+.f64 (*.f64 b #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))

eval146.0ms (2.2%)

Memory
-15.3MiB live, 102.4MiB allocated
Compiler

Compiled 24 489 to 3 657 computations (85.1% saved)

prune32.0ms (0.5%)

Memory
13.0MiB live, 52.3MiB allocated
Pruning

27 alts after pruning (18 fresh and 9 done)

PrunedKeptTotal
New5436549
Fresh41216
Picked235
Done066
Total54927576
Accuracy
100.0%
Counts
576 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.6%
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
62.1%
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
35.9%
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
36.0%
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
36.1%
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
48.4%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b #s(literal 2 binary64)))))
82.4%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
48.3%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (expm1.f64 (*.f64 b #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 b))))))
58.1%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 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)))))
60.2%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(approx (+ (* 1/6 b) -1/2) #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
60.2%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* 1/6 b) -1/2) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
57.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/6 b) -1/2) (+ (* 1/36 (* b b)) -1/4)) (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) b)) b))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
57.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (/ 1 (/ (+ (* 1/6 b) -1/2) (+ (* 1/36 (* b b)) -1/4))) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
52.6%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (/ 1 (/ (+ (* 1/6 b) -1/2) (+ (* 1/36 (* b b)) -1/4))) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
57.4%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64)))))
35.2%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
26.4%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (*.f64 b b) b)))))
26.7%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) b)))))
34.6%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.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))))
34.2%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
34.7%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
14.3%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64)))))
3.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
36.4%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
34.7%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 #s(approx (- (+ (* -1/8 b) 1/4) (* -1/8 b)) #s(literal 1/4 binary64)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
36.3%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/4) (* -1/8 b)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
3.7%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/4) (* -1/8 b)) a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal 1/4 binary64) a))))
Compiler

Compiled 2 003 to 838 computations (58.2% saved)

regimes54.0ms (0.8%)

Memory
12.2MiB live, 50.7MiB allocated
Counts
41 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/4) (* -1/8 b)) a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/4) (* -1/8 b)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 #s(approx (- (+ (* -1/8 b) 1/4) (* -1/8 b)) #s(literal 1/4 binary64)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (/ 1 (/ (+ (* 1/6 b) -1/2) (+ (* 1/36 (* b b)) -1/4))) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.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 a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (*.f64 b b) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (/ 1 (/ (+ (* 1/6 b) -1/2) (+ (* 1/36 (* b b)) -1/4))) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(approx (+ (* 1/6 b) -1/2) #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (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 a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* 1/6 b) -1/2) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/6 b) -1/2) (+ (* 1/36 (* b b)) -1/4)) (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) b)) b))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 (fma.f64 (-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -1/16 binary64) b (*.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b)) #s(literal 1/2 binary64)))) a (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 b b)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (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 a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64)))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b #s(literal 2 binary64)))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (expm1.f64 (*.f64 b #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 b))))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
(pow.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (exp.f64 a)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (*.f64 (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))))))
Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Calls

5 calls:

11.0ms
a
11.0ms
b
10.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
9.0ms
(exp.f64 b)
9.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
98.8%1a
98.8%1b
98.8%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
98.8%1(exp.f64 a)
98.8%1(exp.f64 b)
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes87.0ms (1.3%)

Memory
-22.6MiB live, 59.8MiB allocated
Counts
36 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/4) (* -1/8 b)) a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/4) (* -1/8 b)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 #s(approx (- (+ (* -1/8 b) 1/4) (* -1/8 b)) #s(literal 1/4 binary64)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (/ 1 (/ (+ (* 1/6 b) -1/2) (+ (* 1/36 (* b b)) -1/4))) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.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 a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (*.f64 b b) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (/ 1 (/ (+ (* 1/6 b) -1/2) (+ (* 1/36 (* b b)) -1/4))) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(approx (+ (* 1/6 b) -1/2) #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (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 a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* 1/6 b) -1/2) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/6 b) -1/2) (+ (* 1/36 (* b b)) -1/4)) (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) b)) b))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 (fma.f64 (-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -1/16 binary64) b (*.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b)) #s(literal 1/2 binary64)))) a (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 b b)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (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 a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64)))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b #s(literal 2 binary64)))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (expm1.f64 (*.f64 b #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 b))))))
Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
Calls

5 calls:

33.0ms
a
26.0ms
(exp.f64 a)
10.0ms
b
8.0ms
(exp.f64 b)
8.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Results
AccuracySegmentsBranch
99.7%2a
99.7%3b
82.4%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
99.7%2(exp.f64 a)
99.3%3(exp.f64 b)
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes19.0ms (0.3%)

Memory
25.1MiB live, 25.1MiB allocated
Counts
34 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/4) (* -1/8 b)) a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/4) (* -1/8 b)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 #s(approx (- (+ (* -1/8 b) 1/4) (* -1/8 b)) #s(literal 1/4 binary64)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (/ 1 (/ (+ (* 1/6 b) -1/2) (+ (* 1/36 (* b b)) -1/4))) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.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 a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (*.f64 b b) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (/ 1 (/ (+ (* 1/6 b) -1/2) (+ (* 1/36 (* b b)) -1/4))) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(approx (+ (* 1/6 b) -1/2) #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (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 a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* 1/6 b) -1/2) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/6 b) -1/2) (+ (* 1/36 (* b b)) -1/4)) (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) b)) b))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 (fma.f64 (-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -1/16 binary64) b (*.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b)) #s(literal 1/2 binary64)))) a (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 b b)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (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 a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64)))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b #s(literal 2 binary64)))))
Outputs
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
Calls

2 calls:

10.0ms
a
7.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
99.4%2a
99.4%2(exp.f64 a)
Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes64.0ms (1%)

Memory
-20.8MiB live, 56.2MiB allocated
Counts
31 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/4) (* -1/8 b)) a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/4) (* -1/8 b)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 #s(approx (- (+ (* -1/8 b) 1/4) (* -1/8 b)) #s(literal 1/4 binary64)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (/ 1 (/ (+ (* 1/6 b) -1/2) (+ (* 1/36 (* b b)) -1/4))) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.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 a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (*.f64 b b) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (/ 1 (/ (+ (* 1/6 b) -1/2) (+ (* 1/36 (* b b)) -1/4))) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(approx (+ (* 1/6 b) -1/2) #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (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 a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* 1/6 b) -1/2) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/6 b) -1/2) (+ (* 1/36 (* b b)) -1/4)) (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) b)) b))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 (fma.f64 (-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -1/16 binary64) b (*.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b)) #s(literal 1/2 binary64)))) a (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 b b)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (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 a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64)))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
Outputs
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(approx (+ (* 1/6 b) -1/2) #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
Calls

5 calls:

21.0ms
(exp.f64 a)
16.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
9.0ms
a
9.0ms
b
7.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
62.1%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
79.2%2(exp.f64 b)
79.9%2b
78.4%2a
78.4%2(exp.f64 a)
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes62.0ms (0.9%)

Memory
-5.0MiB live, 37.9MiB allocated
Counts
30 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/4) (* -1/8 b)) a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/4) (* -1/8 b)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 #s(approx (- (+ (* -1/8 b) 1/4) (* -1/8 b)) #s(literal 1/4 binary64)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (/ 1 (/ (+ (* 1/6 b) -1/2) (+ (* 1/36 (* b b)) -1/4))) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.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 a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (*.f64 b b) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (/ 1 (/ (+ (* 1/6 b) -1/2) (+ (* 1/36 (* b b)) -1/4))) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(approx (+ (* 1/6 b) -1/2) #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (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 a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* 1/6 b) -1/2) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/6 b) -1/2) (+ (* 1/36 (* b b)) -1/4)) (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) b)) b))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 (fma.f64 (-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -1/16 binary64) b (*.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b)) #s(literal 1/2 binary64)))) a (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 b b)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (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 a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64)))))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(approx (+ (* 1/6 b) -1/2) #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
Calls

4 calls:

36.0ms
(exp.f64 a)
9.0ms
a
8.0ms
b
7.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
64.3%2(exp.f64 a)
65.5%2a
62.5%2(exp.f64 b)
62.5%2b
Compiler

Compiled 6 to 10 computations (-66.7% saved)

regimes32.0ms (0.5%)

Memory
24.1MiB live, 24.1MiB allocated
Counts
29 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/4) (* -1/8 b)) a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/4) (* -1/8 b)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 #s(approx (- (+ (* -1/8 b) 1/4) (* -1/8 b)) #s(literal 1/4 binary64)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (/ 1 (/ (+ (* 1/6 b) -1/2) (+ (* 1/36 (* b b)) -1/4))) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.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 a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (*.f64 b b) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (/ 1 (/ (+ (* 1/6 b) -1/2) (+ (* 1/36 (* b b)) -1/4))) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(approx (+ (* 1/6 b) -1/2) #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (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 a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* 1/6 b) -1/2) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/6 b) -1/2) (+ (* 1/36 (* b b)) -1/4)) (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) b)) b))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 (fma.f64 (-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -1/16 binary64) b (*.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b)) #s(literal 1/2 binary64)))) a (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 b b)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(approx (+ (* 1/6 b) -1/2) #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
Calls

4 calls:

8.0ms
a
8.0ms
b
7.0ms
(exp.f64 a)
6.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Results
AccuracySegmentsBranch
62.5%2b
62.1%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
60.2%1(exp.f64 a)
60.2%1a
Compiler

Compiled 12 to 13 computations (-8.3% saved)

regimes56.0ms (0.9%)

Memory
-3.4MiB live, 35.2MiB allocated
Counts
22 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/4) (* -1/8 b)) a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/4) (* -1/8 b)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 #s(approx (- (+ (* -1/8 b) 1/4) (* -1/8 b)) #s(literal 1/4 binary64)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (/ 1 (/ (+ (* 1/6 b) -1/2) (+ (* 1/36 (* b b)) -1/4))) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.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 a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (*.f64 b b) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (/ 1 (/ (+ (* 1/6 b) -1/2) (+ (* 1/36 (* b b)) -1/4))) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 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)))))
Calls

5 calls:

31.0ms
(exp.f64 b)
7.0ms
b
7.0ms
a
5.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
5.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
58.1%1a
58.1%1(exp.f64 a)
60.4%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
60.4%2(exp.f64 b)
60.4%2b
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes43.0ms (0.6%)

Memory
8.7MiB live, 44.0MiB allocated
Counts
20 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/4) (* -1/8 b)) a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/4) (* -1/8 b)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 #s(approx (- (+ (* -1/8 b) 1/4) (* -1/8 b)) #s(literal 1/4 binary64)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (/ 1 (/ (+ (* 1/6 b) -1/2) (+ (* 1/36 (* b b)) -1/4))) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.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 a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (*.f64 b b) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (/ 1 (/ (+ (* 1/6 b) -1/2) (+ (* 1/36 (* b b)) -1/4))) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
Calls

3 calls:

30.0ms
(exp.f64 b)
6.0ms
b
5.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Results
AccuracySegmentsBranch
60.1%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
60.1%2(exp.f64 b)
60.1%2b
Compiler

Compiled 11 to 11 computations (0% saved)

regimes38.0ms (0.6%)

Memory
-3.3MiB live, 28.8MiB allocated
Counts
18 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/4) (* -1/8 b)) a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/4) (* -1/8 b)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 #s(approx (- (+ (* -1/8 b) 1/4) (* -1/8 b)) #s(literal 1/4 binary64)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (/ 1 (/ (+ (* 1/6 b) -1/2) (+ (* 1/36 (* b b)) -1/4))) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.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 a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (*.f64 b b) b)))))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/4) (* -1/8 b)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
Calls

3 calls:

28.0ms
b
5.0ms
(exp.f64 b)
4.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Results
AccuracySegmentsBranch
59.8%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
59.7%2(exp.f64 b)
59.7%2b
Compiler

Compiled 11 to 11 computations (0% saved)

regimes44.0ms (0.7%)

Memory
-15.0MiB live, 34.1MiB allocated
Counts
14 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/4) (* -1/8 b)) a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/4) (* -1/8 b)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 #s(approx (- (+ (* -1/8 b) 1/4) (* -1/8 b)) #s(literal 1/4 binary64)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (/ 1 (/ (+ (* 1/6 b) -1/2) (+ (* 1/36 (* b b)) -1/4))) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) b)))))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) b)))))
Calls

5 calls:

27.0ms
(exp.f64 a)
5.0ms
a
5.0ms
b
4.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
59.7%2(exp.f64 b)
54.2%2a
54.2%2(exp.f64 a)
59.7%2b
59.6%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes13.0ms (0.2%)

Memory
18.6MiB live, 18.6MiB allocated
Counts
13 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/4) (* -1/8 b)) a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/4) (* -1/8 b)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 #s(approx (- (+ (* -1/8 b) 1/4) (* -1/8 b)) #s(literal 1/4 binary64)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (/ 1 (/ (+ (* 1/6 b) -1/2) (+ (* 1/36 (* b b)) -1/4))) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) b)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
Calls

3 calls:

4.0ms
b
4.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
3.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
54.8%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
54.8%2b
54.8%2(exp.f64 b)
Compiler

Compiled 11 to 11 computations (0% saved)

regimes19.0ms (0.3%)

Memory
4.0MiB live, 42.2MiB allocated
Accuracy

Total -22.0b remaining (-54%)

Threshold costs -22b (-54%)

Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/4) (* -1/8 b)) a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/4) (* -1/8 b)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 #s(approx (- (+ (* -1/8 b) 1/4) (* -1/8 b)) #s(literal 1/4 binary64)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
Calls

5 calls:

7.0ms
b
3.0ms
a
3.0ms
(exp.f64 b)
3.0ms
(exp.f64 a)
3.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Results
AccuracySegmentsBranch
36.4%1a
36.4%1(exp.f64 a)
36.4%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
36.4%1(exp.f64 b)
36.4%1b
Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.8021575602114015e-5
0.9998927659778585
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
1.2157089906341048e-165
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch41.0ms (0.6%)

Memory
-14.9MiB live, 23.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
40.0ms
7.008810334831636e+64
1.599069044116684e+68
Samples
6.0ms128×0valid
Compiler

Compiled 419 to 331 computations (21% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-exp: 2.0ms (59.2% of total)
ival-div: 1.0ms (29.6% of total)
ival-add: 1.0ms (29.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch14.0ms (0.2%)

Memory
21.5MiB live, 21.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
-7.904778824014281e+85
-4.1848807453708696e+83
Samples
6.0ms112×0valid
1.0ms16×0exit
Compiler

Compiled 494 to 375 computations (24.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-exp: 2.0ms (58.9% of total)
ival-div: 1.0ms (29.4% of total)
ival-add: 1.0ms (29.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch42.0ms (0.6%)

Memory
-0.9MiB live, 37.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
41.0ms
-1860279704903607.8
-1093.0229778560551
Samples
8.0ms160×0valid
0.0ms0exit
Compiler

Compiled 541 to 411 computations (24% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-exp: 3.0ms (60.6% of total)
ival-div: 1.0ms (20.2% of total)
ival-add: 1.0ms (20.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch6.0ms (0.1%)

Memory
-38.9MiB live, 4.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
5.0ms
-1860279704903607.8
-1093.0229778560551
Compiler

Compiled 441 to 331 computations (24.9% saved)

bsearch2.0ms (0%)

Memory
3.6MiB live, 3.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
2.0ms
-1860279704903607.8
-1093.0229778560551
Compiler

Compiled 491 to 371 computations (24.4% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.49474540406289697
0.49999941633686606
Compiler

Compiled 11 to 11 computations (0% saved)

bsearch13.0ms (0.2%)

Memory
30.0MiB live, 30.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
0.021019157578274716
8.954678908867143
Samples
7.0ms128×0valid
Compiler

Compiled 451 to 339 computations (24.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-exp: 2.0ms (50.5% of total)
ival-div: 1.0ms (25.2% of total)
ival-add: 1.0ms (25.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
4.0MiB live, 4.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
-1860279704903607.8
-1093.0229778560551
Compiler

Compiled 411 to 311 computations (24.3% saved)

simplify34.0ms (0.5%)

Memory
-5.1MiB live, 67.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0133572
1144572
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (<=.f64 (exp.f64 a) #s(literal 7378697629483821/147573952589676412928 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))))
(if (<=.f64 b #s(literal 156000000000000002694616658147935851415004380184368267205433221971968 binary64)) (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(approx (+ (* 1/6 b) -1/2) #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64))))))
(if (<=.f64 a #s(literal -13499999999999999162252433595526217802882200994619025432594899801234267643011867344896 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(approx (+ (* 1/6 b) -1/2) #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64))))))
(if (<=.f64 b #s(literal -1100 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(approx (+ (* 1/6 b) -1/2) #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64))))))
(if (<=.f64 b #s(literal -1100 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 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))))))
(if (<=.f64 b #s(literal -1100 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 4458563631096791/9007199254740992 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/4) (* -1/8 b)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))))
(if (<=.f64 b #s(literal 3602879701896397/2251799813685248 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) b))))))
(if (<=.f64 b #s(literal -1100 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(if (<=.f64 (exp.f64 a) #s(literal 7378697629483821/147573952589676412928 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))))
(if (<=.f64 (exp.f64 a) #s(literal 7378697629483821/147573952589676412928 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) (exp.f64 a))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(if (<=.f64 b #s(literal 156000000000000002694616658147935851415004380184368267205433221971968 binary64)) (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(approx (+ (* 1/6 b) -1/2) #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64))))))
(if (<=.f64 a #s(literal -13499999999999999162252433595526217802882200994619025432594899801234267643011867344896 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(approx (+ (* 1/6 b) -1/2) #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64))))))
(if (<=.f64 b #s(literal -1100 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(approx (+ (* 1/6 b) -1/2) #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64))))))
(if (<=.f64 b #s(literal -1100 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 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))))))
(if (<=.f64 b #s(literal -1100 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 4458563631096791/9007199254740992 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/4) (* -1/8 b)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal 4458563631096791/9007199254740992 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 b b))) b #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/4) (* -1/8 b)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))))
(if (<=.f64 b #s(literal 3602879701896397/2251799813685248 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) b))))))
(if (<=.f64 b #s(literal -1100 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))

soundness1.3s (19.2%)

Memory
-48.0MiB live, 1 177.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0209700
1595679
21658653
35879647
08188603
03651920
111381745
239301612
377221610
080611487
047301
069301
1303301
22376301
08100297
02891212
18781135
22865977
08528901
0120516
1332501
2963484
33682453
08319416
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 945 to 489 computations (48.3% saved)

preprocess75.0ms (1.1%)

Memory
23.7MiB live, 179.5MiB allocated
Compiler

Compiled 1 176 to 308 computations (73.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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