Quotient of sum of exps

Time bar (total: 8.5s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze5.0ms (0.1%)

Memory
8.9MiB live, 8.9MiB 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)

sample1.8s (21%)

Memory
42.8MiB live, 1 542.9MiB allocated
Samples
867.0ms8 256×0valid
377.0ms2 942×0exit
Precisions
Click to see histograms. Total time spent on operations: 535.0ms
ival-exp: 311.0ms (58.1% of total)
ival-add: 110.0ms (20.6% of total)
ival-div: 102.0ms (19.1% of total)
ival-true: 9.0ms (1.7% of total)
ival-assert: 4.0ms (0.7% of total)
Bogosity

explain172.0ms (2%)

Memory
-28.1MiB live, 136.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
10-0-(/.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/o10
(exp.f64 a)overflow1
(+.f64 (exp.f64 a) (exp.f64 b))overflow77
(exp.f64 a)overflow1
(exp.f64 b)overflow77
Confusion
Predicted +Predicted -
+10
-0255
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+100
-00255
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0255
11
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
54.0ms512×0valid
Compiler

Compiled 52 to 22 computations (57.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-exp: 7.0ms (50.9% of total)
ival-div: 3.0ms (21.8% of total)
ival-add: 2.0ms (14.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess86.0ms (1%)

Memory
3.1MiB live, 42.4MiB allocated
Algorithm
egg-herbie
Rules
432×times-frac
352×div-sub
224×distribute-lft-in
204×distribute-rgt-in
182×sub-neg
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)))
Compiler

Compiled 10 to 6 computations (40% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 10 to 6 computations (40% saved)

simplify3.0ms (0%)

Memory
5.6MiB live, 5.6MiB 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)))
Rules
lift-exp.f64
lower-+.f32
lower-exp.f32
lift-+.f64
lift-/.f64
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)))
(exp.f64 a)
a
(+.f64 (exp.f64 a) (exp.f64 b))
(exp.f64 b)
b

localize45.0ms (0.5%)

Memory
-3.6MiB live, 35.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(exp.f64 b)
accuracy0
(exp.f64 a)
accuracy0.00390625
(+.f64 (exp.f64 a) (exp.f64 b))
accuracy0.25390487397081396
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Samples
38.0ms256×0valid
Compiler

Compiled 21 to 8 computations (61.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-exp: 28.0ms (88.9% of total)
ival-div: 2.0ms (6.3% of total)
ival-add: 1.0ms (3.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
9.7MiB live, 9.7MiB allocated
Counts
4 → 72
Calls
Call 1
Inputs
#<alt (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))>
#<alt (exp.f64 a)>
#<alt (+.f64 (exp.f64 a) (exp.f64 b))>
#<alt (exp.f64 b)>
Outputs
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))>
#<alt (+ (* 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))))>
#<alt (+ (* 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))))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (+ b (exp a)))>
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))>
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))>
#<alt 1>
#<alt (+ 1 b)>
#<alt (+ 1 (* b (+ 1 (* 1/2 b))))>
#<alt (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (+ (* 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))))>
#<alt (+ (* 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))))>
#<alt 1>
#<alt (+ 1 a)>
#<alt (+ 1 (* a (+ 1 (* 1/2 a))))>
#<alt (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (+ a (exp b)))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (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
b
@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))

simplify372.0ms (4.4%)

Memory
-20.0MiB live, 413.8MiB allocated
Algorithm
egg-herbie
Rules
18 438×lower-fma.f64
18 438×lower-fma.f32
4 430×lower-*.f64
4 430×lower-*.f32
2 966×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0120740
1332725
2964708
33689677
08345640
Stop Event
iter limit
node limit
Counts
72 → 72
Calls
Call 1
Inputs
(/ (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
(+ 1 b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(exp b)
(exp b)
(exp b)
(exp b)
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(exp b)
(exp b)
(exp b)
(exp b)
(/ 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) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(exp a)
(exp a)
(exp a)
(exp a)
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(exp a)
(exp a)
(exp a)
(exp a)
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
Outputs
(/ (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 b (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 b #s(literal -1/2 binary64) (/.f64 b (+.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)))))
(+ (* 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 (*.f64 b (fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 b #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1/2 binary64))))) (*.f64 b 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)))))
(+ 1 (exp a))
(+.f64 (exp.f64 a) #s(literal 1 binary64))
(+ 1 (+ b (exp a)))
(+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) b))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 a)))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+.f64 (exp.f64 a) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 b)
(+.f64 #s(literal 1 binary64) b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(+ (exp a) (exp b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+ (exp a) (exp b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+ (exp a) (exp b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+ (exp a) (exp b))
(+.f64 (exp.f64 a) (exp.f64 b))
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(+ (exp a) (exp b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+ (exp a) (exp b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+ (exp a) (exp b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+ (exp a) (exp b))
(+.f64 (exp.f64 a) (exp.f64 b))
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(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 a #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 (neg.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #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 a (fma.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 (/.f64 a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (fma.f64 #s(literal -3/2 binary64) a #s(literal -1 binary64))))) (/.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 a (fma.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (fma.f64 a (fma.f64 a (+.f64 (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 3/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal -2/3 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 4 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (fma.f64 #s(literal -3/2 binary64) a #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
1
#s(literal 1 binary64)
(+ 1 a)
(+.f64 a #s(literal 1 binary64))
(+ 1 (* a (+ 1 (* 1/2 a))))
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (+ a (exp b)))
(+.f64 #s(literal 1 binary64) (+.f64 a (exp.f64 b)))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+.f64 (exp.f64 b) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(+.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (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.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(+ (exp a) (exp b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+ (exp a) (exp b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+ (exp a) (exp b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+ (exp a) (exp b))
(+.f64 (exp.f64 a) (exp.f64 b))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (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.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(+ (exp a) (exp b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+ (exp a) (exp b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+ (exp a) (exp b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+ (exp a) (exp b))
(+.f64 (exp.f64 a) (exp.f64 b))

rewrite279.0ms (3.3%)

Memory
17.8MiB live, 504.7MiB allocated
Rules
5 200×lower-/.f32
5 198×lower-/.f64
4 032×lower-fma.f64
4 032×lower-fma.f32
3 280×lower-*.f64
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 (*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (exp.f64 (+.f64 a a))) (*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))))
(+.f64 (*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))) (*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (exp.f64 (+.f64 a a))))
(+.f64 (*.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (exp.f64 a)) (*.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (neg.f64 (exp.f64 b))))
(+.f64 (*.f64 (exp.f64 (+.f64 a a)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))) (*.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))))
(+.f64 (*.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))) (*.f64 (exp.f64 (+.f64 a a)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))))
(+.f64 (*.f64 (exp.f64 a) (/.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))))) (*.f64 (neg.f64 (exp.f64 b)) (/.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))))))
(exp.f64 (*.f64 (-.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) a) #s(literal -1 binary64)))
(exp.f64 (+.f64 a (*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64) a))
(exp.f64 (-.f64 (*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64)) (neg.f64 a)))
(-.f64 #s(literal 0 binary64) (/.f64 (exp.f64 a) (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b))))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (exp.f64 a) (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (exp.f64 a) (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b))))
(-.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (/.f64 (exp.f64 (+.f64 a b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1 binary64)) (/.f64 (/.f64 (exp.f64 a) (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (exp.f64 (neg.f64 a))) (/.f64 (/.f64 (exp.f64 b) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (exp.f64 (neg.f64 a))))
(-.f64 (/.f64 (/.f64 (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (exp.f64 (neg.f64 a))) (/.f64 (/.f64 (exp.f64 (+.f64 a b)) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (exp.f64 (neg.f64 a))))
(fma.f64 (exp.f64 a) (/.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (*.f64 (neg.f64 (exp.f64 b)) (/.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))))))
(fma.f64 (exp.f64 (+.f64 a a)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (*.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))))
(fma.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (*.f64 (exp.f64 (+.f64 a a)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))))
(fma.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (exp.f64 (+.f64 a a)) (*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))))
(fma.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (exp.f64 (+.f64 a a))))
(fma.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (exp.f64 a) (*.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (neg.f64 (exp.f64 b))))
(neg.f64 (/.f64 (exp.f64 a) (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b)))))
(/.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 (neg.f64 (exp.f64 a)) (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b)))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b))))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (fma.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (-.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (+.f64 a a))) (exp.f64 (*.f64 a #s(literal 4 binary64))))) (*.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 6 binary64))) (pow.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (+.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (exp.f64 (+.f64 a b)))) (*.f64 (exp.f64 a) (-.f64 (exp.f64 (*.f64 a #s(literal 4 binary64))) (pow.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (+.f64 (exp.f64 a) (exp.f64 b))) (*.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (+.f64 (exp.f64 (+.f64 a a)) (+.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))))) (*.f64 (exp.f64 a) (-.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b)) (*.f64 (neg.f64 (exp.f64 a)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (-.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (+.f64 a a))) (exp.f64 (*.f64 a #s(literal 4 binary64)))) (*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (+.f64 (exp.f64 (*.f64 a #s(literal 6 binary64))) (pow.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (exp.f64 (+.f64 a b))) (*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (-.f64 (exp.f64 (*.f64 a #s(literal 4 binary64))) (pow.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (*.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (+.f64 a a)) (+.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))) (*.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (-.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))))
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b)) (exp.f64 (neg.f64 a))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 (neg.f64 a)))
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (neg.f64 (exp.f64 (neg.f64 a))))
(/.f64 (/.f64 (exp.f64 a) (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b))) #s(literal -1 binary64))
(/.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b))))))
(/.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))
(/.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b))) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))))
(/.f64 (*.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 6 binary64))) (pow.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) #s(literal 3 binary64)))) (*.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (fma.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (-.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (+.f64 a a))) (exp.f64 (*.f64 a #s(literal 4 binary64))))))
(/.f64 (*.f64 (exp.f64 a) (-.f64 (exp.f64 (*.f64 a #s(literal 4 binary64))) (pow.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) #s(literal 2 binary64)))) (*.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (+.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (exp.f64 (+.f64 a b)))))
(/.f64 (*.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (*.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (+.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (*.f64 (exp.f64 a) (-.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (*.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (+.f64 (exp.f64 (+.f64 a a)) (+.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))))))
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(exp.f64 b)
(exp.f64 (*.f64 b #s(literal 1 binary64)))
(pow.f64 (exp.f64 b) #s(literal 1 binary64))

eval45.0ms (0.5%)

Memory
-5.2MiB live, 112.7MiB allocated
Compiler

Compiled 11 216 to 1 163 computations (89.6% saved)

prune46.0ms (0.5%)

Memory
14.4MiB live, 131.0MiB allocated
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New4094413
Fresh000
Picked101
Done000
Total4104414
Accuracy
100.0%
Counts
414 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
69.9%
(/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))
60.9%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
82.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
57.9%
#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 66 to 39 computations (40.9% saved)

simplify307.0ms (3.6%)

Memory
7.6MiB live, 322.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))
cost-diff0
(exp.f64 a)
cost-diff0
(/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))
cost-diff6208
(fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64))))
cost-diff0
#s(approx (exp b) #s(literal 1 binary64))
cost-diff0
(+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))
cost-diff0
(exp.f64 a)
cost-diff0
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
cost-diff0
(exp.f64 b)
cost-diff0
(+.f64 #s(literal 1 binary64) (exp.f64 b))
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
cost-diff0
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
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
(*.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 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)))))
Rules
7 006×lower-fma.f32
7 004×lower-fma.f64
3 058×lower-*.f32
3 052×lower-*.f64
2 804×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036223
062223
188220
2128220
3215220
4367220
5706220
61443220
72542220
83911220
95458220
106229220
116485220
126678220
136887220
147051220
157343220
167771220
08600218
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#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))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(exp.f64 b)
b
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(exp.f64 a)
a
(+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))
#s(approx (exp b) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))
(fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64))))
(exp.f64 a)
a
(-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))
(exp.f64 (+.f64 b b))
(+.f64 b b)
b
(exp.f64 (+.f64 a b))
(+.f64 a b)
(exp.f64 (*.f64 a #s(literal 3 binary64)))
(*.f64 a #s(literal 3 binary64))
#s(literal 3 binary64)
(+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))
(exp.f64 (*.f64 b #s(literal 3 binary64)))
(*.f64 b #s(literal 3 binary64))
Outputs
#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 (exp.f64 a) (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #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))))
(/.f64 (*.f64 (exp.f64 a) (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64))) (+.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))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 b)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(exp.f64 b)
b
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(exp.f64 a)
a
(+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))
#s(approx (exp b) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))
(/.f64 (-.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (+.f64 b (+.f64 a b)))) (exp.f64 (fma.f64 a #s(literal 2 binary64) b))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))
(fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64))))
(-.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (+.f64 b (+.f64 a b)))) (exp.f64 (fma.f64 a #s(literal 2 binary64) b)))
(exp.f64 a)
a
(-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))
(exp.f64 (+.f64 b b))
(+.f64 b b)
b
(exp.f64 (+.f64 a b))
(+.f64 a b)
(exp.f64 (*.f64 a #s(literal 3 binary64)))
(*.f64 a #s(literal 3 binary64))
#s(literal 3 binary64)
(+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))
(exp.f64 (*.f64 b #s(literal 3 binary64)))
(*.f64 b #s(literal 3 binary64))

localize115.0ms (1.3%)

Memory
-22.2MiB live, 258.9MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64))))
accuracy0.014003759768442016
(/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))
accuracy0.02529583371471249
(exp.f64 (*.f64 b #s(literal 3 binary64)))
accuracy18.506698351562385
(-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))
accuracy0
(exp.f64 a)
accuracy0.00390625
(+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))
accuracy0.0078125
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
accuracy13.692205092685809
#s(approx (exp b) #s(literal 1 binary64))
accuracy0
(exp.f64 b)
accuracy0.0078125
(+.f64 #s(literal 1 binary64) (exp.f64 b))
accuracy0.01171875
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
accuracy11.008211853628106
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
accuracy0
(exp.f64 a)
accuracy0.00390625
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
accuracy0.00390625
(/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))
accuracy13.016378110184752
#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)))))
Samples
32.0ms69×1valid
21.0ms103×0valid
16.0ms77×0exit
6.0ms2valid
Compiler

Compiled 197 to 32 computations (83.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 54.0ms
ival-exp: 17.0ms (31.4% of total)
ival-add: 11.0ms (20.3% of total)
ival-div: 10.0ms (18.5% of total)
ival-mult: 6.0ms (11.1% of total)
adjust: 5.0ms (9.2% of total)
ival-sub: 3.0ms (5.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series63.0ms (0.7%)

Memory
13.6MiB live, 135.1MiB allocated
Counts
17 → 324
Calls
Call 1
Inputs
#<alt #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)))))>
#<alt (*.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))))>
#<alt (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64))>
#<alt (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))>
#<alt #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))>
#<alt (+.f64 #s(literal 1 binary64) (exp.f64 b))>
#<alt (exp.f64 b)>
#<alt (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))>
#<alt (exp.f64 a)>
#<alt (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))>
#<alt #s(approx (exp b) #s(literal 1 binary64))>
#<alt (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64))))>
#<alt (/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))>
#<alt (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))>
#<alt (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))>
#<alt (exp.f64 (*.f64 b #s(literal 3 binary64)))>
Outputs
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))>
#<alt (+ (* 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))))>
#<alt (+ (* 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))))>
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))>
#<alt (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))>
#<alt (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ b (+ 1 (exp a)))))>
#<alt (+ 1 (* -1 (/ b (+ 1 (exp a)))))>
#<alt (+ 1 (* -1 (/ b (+ 1 (exp a)))))>
#<alt (* -1 (/ b (+ 1 (exp a))))>
#<alt (* -1 (/ b (+ 1 (exp a))))>
#<alt (* -1 (/ b (+ 1 (exp a))))>
#<alt (* -1 (/ b (+ 1 (exp a))))>
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))>
#<alt (+ (* 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))))>
#<alt (+ (* 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))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 b))>
#<alt (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))>
#<alt (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))>
#<alt 2>
#<alt (+ 2 b)>
#<alt (+ 2 (* b (+ 1 (* 1/2 b))))>
#<alt (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))>
#<alt 1>
#<alt (+ 1 b)>
#<alt (+ 1 (* b (+ 1 (* 1/2 b))))>
#<alt (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))>
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))>
#<alt (+ (* 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))))>
#<alt (+ (* 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))))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (+ b (exp a)))>
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))>
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))>
#<alt 1>
#<alt (+ 1 b)>
#<alt (+ 1 (* b (+ 1 (* 1/2 b))))>
#<alt (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))>
#<alt (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a))))>
#<alt (+ (exp (* 3 a)) (+ (* b (* (exp a) (- 2 (exp a)))) (* (exp a) (- 1 (exp a)))))>
#<alt (+ (exp (* 3 a)) (+ (* b (+ (* b (* (exp a) (- 2 (* 1/2 (exp a))))) (* (exp a) (- 2 (exp a))))) (* (exp a) (- 1 (exp a)))))>
#<alt (+ (exp (* 3 a)) (+ (* b (+ (* b (+ (* b (* (exp a) (- 4/3 (* 1/6 (exp a))))) (* (exp a) (- 2 (* 1/2 (exp a)))))) (* (exp a) (- 2 (exp a))))) (* (exp a) (- 1 (exp a)))))>
#<alt (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (+ 1 (exp (* 3 a))))>
#<alt (+ (* b (- (/ (* (exp a) (- 2 (exp a))) (+ 1 (exp (* 3 a)))) (* 3 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2))))) (+ (/ (exp (* 3 a)) (+ 1 (exp (* 3 a)))) (/ (* (exp a) (- 1 (exp a))) (+ 1 (exp (* 3 a))))))>
#<alt (+ (* b (- (+ (* b (- (/ (* (exp a) (- 2 (* 1/2 (exp a)))) (+ 1 (exp (* 3 a)))) (+ (* 3 (/ (- (/ (* (exp a) (- 2 (exp a))) (+ 1 (exp (* 3 a)))) (* 3 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2)))) (+ 1 (exp (* 3 a))))) (* 9/2 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2)))))) (/ (* (exp a) (- 2 (exp a))) (+ 1 (exp (* 3 a))))) (* 3 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2))))) (+ (/ (exp (* 3 a)) (+ 1 (exp (* 3 a)))) (/ (* (exp a) (- 1 (exp a))) (+ 1 (exp (* 3 a))))))>
#<alt (+ (* b (- (+ (* b (- (+ (* b (- (/ (* (exp a) (- 4/3 (* 1/6 (exp a)))) (+ 1 (exp (* 3 a)))) (+ (* 3 (/ (- (/ (* (exp a) (- 2 (* 1/2 (exp a)))) (+ 1 (exp (* 3 a)))) (+ (* 3 (/ (- (/ (* (exp a) (- 2 (exp a))) (+ 1 (exp (* 3 a)))) (* 3 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2)))) (+ 1 (exp (* 3 a))))) (* 9/2 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2))))) (+ 1 (exp (* 3 a))))) (+ (* 9/2 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2))) (* 9/2 (/ (- (/ (* (exp a) (- 2 (exp a))) (+ 1 (exp (* 3 a)))) (* 3 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2)))) (+ 1 (exp (* 3 a))))))))) (/ (* (exp a) (- 2 (* 1/2 (exp a)))) (+ 1 (exp (* 3 a))))) (+ (* 3 (/ (- (/ (* (exp a) (- 2 (exp a))) (+ 1 (exp (* 3 a)))) (* 3 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2)))) (+ 1 (exp (* 3 a))))) (* 9/2 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2)))))) (/ (* (exp a) (- 2 (exp a))) (+ 1 (exp (* 3 a))))) (* 3 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2))))) (+ (/ (exp (* 3 a)) (+ 1 (exp (* 3 a)))) (/ (* (exp a) (- 1 (exp a))) (+ 1 (exp (* 3 a))))))>
#<alt (- 1 (exp a))>
#<alt (- (+ 1 (* b (- 2 (exp a)))) (exp a))>
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#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a))))))>
#<alt (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a))))))>
#<alt (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a))))))>
#<alt (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a))))))>
#<alt (/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a)))))) (+ (exp (* 3 a)) (exp (* 3 b))))>
#<alt (/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a)))))) (+ (exp (* 3 a)) (exp (* 3 b))))>
#<alt (/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a)))))) (+ (exp (* 3 a)) (exp (* 3 b))))>
#<alt (/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a)))))) (+ (exp (* 3 a)) (exp (* 3 b))))>
#<alt (- (exp (* 2 b)) (exp (- b (* -1 a))))>
#<alt (- (exp (* 2 b)) (exp (- b (* -1 a))))>
#<alt (- (exp (* 2 b)) (exp (- b (* -1 a))))>
#<alt (- (exp (* 2 b)) (exp (- b (* -1 a))))>
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt (/ (exp a) (+ 1 (exp a)))>
Calls

6 calls:

TimeVariablePointExpression
33.0ms
a
@inf
((/ (exp a) (+ (exp a) (exp b))) (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (+ (/ b (- -1 (exp a))) 1) (/ b (- -1 (exp a))) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ 1 (exp b))) (+ 1 (exp b)) (exp b) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp b) (+ (* (exp a) (- (exp (+ b b)) (exp (+ a b)))) (exp (* a 3))) (/ (+ (* (exp a) (- (exp (+ b b)) (exp (+ a b)))) (exp (* a 3))) (+ (exp (* a 3)) (exp (* b 3)))) (- (exp (+ b b)) (exp (+ a b))) (/ (exp a) (+ (exp a) 1)) (exp (* b 3)))
6.0ms
a
@-inf
((/ (exp a) (+ (exp a) (exp b))) (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (+ (/ b (- -1 (exp a))) 1) (/ b (- -1 (exp a))) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ 1 (exp b))) (+ 1 (exp b)) (exp b) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp b) (+ (* (exp a) (- (exp (+ b b)) (exp (+ a b)))) (exp (* a 3))) (/ (+ (* (exp a) (- (exp (+ b b)) (exp (+ a b)))) (exp (* a 3))) (+ (exp (* a 3)) (exp (* b 3)))) (- (exp (+ b b)) (exp (+ a b))) (/ (exp a) (+ (exp a) 1)) (exp (* b 3)))
5.0ms
b
@inf
((/ (exp a) (+ (exp a) (exp b))) (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (+ (/ b (- -1 (exp a))) 1) (/ b (- -1 (exp a))) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ 1 (exp b))) (+ 1 (exp b)) (exp b) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp b) (+ (* (exp a) (- (exp (+ b b)) (exp (+ a b)))) (exp (* a 3))) (/ (+ (* (exp a) (- (exp (+ b b)) (exp (+ a b)))) (exp (* a 3))) (+ (exp (* a 3)) (exp (* b 3)))) (- (exp (+ b b)) (exp (+ a b))) (/ (exp a) (+ (exp a) 1)) (exp (* b 3)))
5.0ms
a
@0
((/ (exp a) (+ (exp a) (exp b))) (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (+ (/ b (- -1 (exp a))) 1) (/ b (- -1 (exp a))) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ 1 (exp b))) (+ 1 (exp b)) (exp b) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp b) (+ (* (exp a) (- (exp (+ b b)) (exp (+ a b)))) (exp (* a 3))) (/ (+ (* (exp a) (- (exp (+ b b)) (exp (+ a b)))) (exp (* a 3))) (+ (exp (* a 3)) (exp (* b 3)))) (- (exp (+ b b)) (exp (+ a b))) (/ (exp a) (+ (exp a) 1)) (exp (* b 3)))
5.0ms
b
@-inf
((/ (exp a) (+ (exp a) (exp b))) (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (+ (/ b (- -1 (exp a))) 1) (/ b (- -1 (exp a))) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ 1 (exp b))) (+ 1 (exp b)) (exp b) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp b) (+ (* (exp a) (- (exp (+ b b)) (exp (+ a b)))) (exp (* a 3))) (/ (+ (* (exp a) (- (exp (+ b b)) (exp (+ a b)))) (exp (* a 3))) (+ (exp (* a 3)) (exp (* b 3)))) (- (exp (+ b b)) (exp (+ a b))) (/ (exp a) (+ (exp a) 1)) (exp (* b 3)))

simplify262.0ms (3.1%)

Memory
24.0MiB live, 499.8MiB allocated
Algorithm
egg-herbie
Rules
8 762×lower-fma.f64
8 762×lower-fma.f32
4 832×lower-+.f64
4 832×lower-+.f32
4 284×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05005829
115265532
248035349
083815075
Stop Event
iter limit
node limit
Counts
324 → 324
Calls
Call 1
Inputs
(/ (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))))
(/ (exp a) (+ 1 (exp a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
1
(+ 1 (* -1 (/ b (+ 1 (exp a)))))
(+ 1 (* -1 (/ b (+ 1 (exp a)))))
(+ 1 (* -1 (/ b (+ 1 (exp a)))))
(* -1 (/ b (+ 1 (exp a))))
(* -1 (/ b (+ 1 (exp a))))
(* -1 (/ b (+ 1 (exp a))))
(* -1 (/ b (+ 1 (exp a))))
(/ (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
(+ 1/2 (* -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))))))
1
(+ 1 b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(+ 1 (* b (+ 1 (* b (+ 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 (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
(+ 1 b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(+ (exp (* 3 a)) (* (exp a) (- 1 (exp a))))
(+ (exp (* 3 a)) (+ (* b (* (exp a) (- 2 (exp a)))) (* (exp a) (- 1 (exp a)))))
(+ (exp (* 3 a)) (+ (* b (+ (* b (* (exp a) (- 2 (* 1/2 (exp a))))) (* (exp a) (- 2 (exp a))))) (* (exp a) (- 1 (exp a)))))
(+ (exp (* 3 a)) (+ (* b (+ (* b (+ (* b (* (exp a) (- 4/3 (* 1/6 (exp a))))) (* (exp a) (- 2 (* 1/2 (exp a)))))) (* (exp a) (- 2 (exp a))))) (* (exp a) (- 1 (exp a)))))
(/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (+ 1 (exp (* 3 a))))
(+ (* b (- (/ (* (exp a) (- 2 (exp a))) (+ 1 (exp (* 3 a)))) (* 3 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2))))) (+ (/ (exp (* 3 a)) (+ 1 (exp (* 3 a)))) (/ (* (exp a) (- 1 (exp a))) (+ 1 (exp (* 3 a))))))
(+ (* b (- (+ (* b (- (/ (* (exp a) (- 2 (* 1/2 (exp a)))) (+ 1 (exp (* 3 a)))) (+ (* 3 (/ (- (/ (* (exp a) (- 2 (exp a))) (+ 1 (exp (* 3 a)))) (* 3 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2)))) (+ 1 (exp (* 3 a))))) (* 9/2 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2)))))) (/ (* (exp a) (- 2 (exp a))) (+ 1 (exp (* 3 a))))) (* 3 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2))))) (+ (/ (exp (* 3 a)) (+ 1 (exp (* 3 a)))) (/ (* (exp a) (- 1 (exp a))) (+ 1 (exp (* 3 a))))))
(+ (* b (- (+ (* b (- (+ (* b (- (/ (* (exp a) (- 4/3 (* 1/6 (exp a)))) (+ 1 (exp (* 3 a)))) (+ (* 3 (/ (- (/ (* (exp a) (- 2 (* 1/2 (exp a)))) (+ 1 (exp (* 3 a)))) (+ (* 3 (/ (- (/ (* (exp a) (- 2 (exp a))) (+ 1 (exp (* 3 a)))) (* 3 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2)))) (+ 1 (exp (* 3 a))))) (* 9/2 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2))))) (+ 1 (exp (* 3 a))))) (+ (* 9/2 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2))) (* 9/2 (/ (- (/ (* (exp a) (- 2 (exp a))) (+ 1 (exp (* 3 a)))) (* 3 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2)))) (+ 1 (exp (* 3 a))))))))) (/ (* (exp a) (- 2 (* 1/2 (exp a)))) (+ 1 (exp (* 3 a))))) (+ (* 3 (/ (- (/ (* (exp a) (- 2 (exp a))) (+ 1 (exp (* 3 a)))) (* 3 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2)))) (+ 1 (exp (* 3 a))))) (* 9/2 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2)))))) (/ (* (exp a) (- 2 (exp a))) (+ 1 (exp (* 3 a))))) (* 3 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2))))) (+ (/ (exp (* 3 a)) (+ 1 (exp (* 3 a)))) (/ (* (exp a) (- 1 (exp a))) (+ 1 (exp (* 3 a))))))
(- 1 (exp a))
(- (+ 1 (* b (- 2 (exp a)))) (exp a))
(- (+ 1 (* b (- (+ 2 (* b (- 2 (* 1/2 (exp a))))) (exp a)))) (exp a))
(- (+ 1 (* b (- (+ 2 (* b (- (+ 2 (* b (- 4/3 (* 1/6 (exp a))))) (* 1/2 (exp a))))) (exp a)))) (exp a))
1
(+ 1 (* 3 b))
(+ 1 (* b (+ 3 (* 9/2 b))))
(+ 1 (* b (+ 3 (* b (+ 9/2 (* 9/2 b))))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (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 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a))))))
(* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a))))))
(* -1 (/ b (+ 1 (exp a))))
(* b (- (/ 1 b) (/ 1 (+ 1 (exp a)))))
(* b (- (/ 1 b) (/ 1 (+ 1 (exp a)))))
(* b (- (/ 1 b) (/ 1 (+ 1 (exp a)))))
(* -1 (/ b (+ 1 (exp a))))
(* -1 (/ b (+ 1 (exp a))))
(* -1 (/ b (+ 1 (exp a))))
(* -1 (/ b (+ 1 (exp a))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(exp b)
(exp b)
(exp b)
(exp b)
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(exp b)
(exp b)
(exp b)
(exp b)
(+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b)))))
(+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b)))))
(+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b)))))
(+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b)))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(- (exp (* 2 b)) (exp (+ a b)))
(- (exp (* 2 b)) (exp (+ a b)))
(- (exp (* 2 b)) (exp (+ a b)))
(- (exp (* 2 b)) (exp (+ a b)))
(exp (* 3 b))
(exp (* 3 b))
(exp (* 3 b))
(exp (* 3 b))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2)))
(* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))))
(* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))))
(* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))))
(* -1 (/ b (+ 1 (exp a))))
(* -1 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 b))))
(* -1 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 b))))
(* -1 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 b))))
(* -1 (/ b (+ 1 (exp a))))
(* -1 (/ b (+ 1 (exp a))))
(* -1 (/ b (+ 1 (exp a))))
(* -1 (/ b (+ 1 (exp a))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
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(/ 1 (+ 1 (exp b)))
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(exp b)
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
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(exp b)
(exp b)
(exp b)
(exp b)
(+ (exp (* 3 a)) (* (exp a) (- (exp (neg (* -2 b))) (exp (- a (* -1 b))))))
(+ (exp (* 3 a)) (* (exp a) (- (exp (neg (* -2 b))) (exp (- a (* -1 b))))))
(+ (exp (* 3 a)) (* (exp a) (- (exp (neg (* -2 b))) (exp (- a (* -1 b))))))
(+ (exp (* 3 a)) (* (exp a) (- (exp (neg (* -2 b))) (exp (- a (* -1 b))))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (neg (* -2 b))) (exp (- a (* -1 b)))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (neg (* -2 b))) (exp (- a (* -1 b)))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (neg (* -2 b))) (exp (- a (* -1 b)))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (neg (* -2 b))) (exp (- a (* -1 b)))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(- (exp (neg (* -2 b))) (exp (- a (* -1 b))))
(- (exp (neg (* -2 b))) (exp (- a (* -1 b))))
(- (exp (neg (* -2 b))) (exp (- a (* -1 b))))
(- (exp (neg (* -2 b))) (exp (- a (* -1 b))))
(exp (* 3 b))
(exp (* 3 b))
(exp (* 3 b))
(exp (* 3 b))
(/ 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))))
(* 1/2 (+ 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 (+ 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 (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)))))))
(- (+ 1 (exp (* 2 b))) (exp b))
(- (+ 1 (+ (exp (* 2 b)) (* a (- (+ 3 (+ (exp (* 2 b)) (* -1 (exp b)))) (exp b))))) (exp b))
(- (+ 1 (+ (exp (* 2 b)) (* a (- (+ 3 (+ (exp (* 2 b)) (+ (* -1 (exp b)) (* a (+ 9/2 (+ (* -1 (exp b)) (+ (* -1/2 (exp b)) (* 1/2 (- (exp (* 2 b)) (exp b)))))))))) (exp b))))) (exp b))
(- (+ 1 (+ (exp (* 2 b)) (* a (- (+ 3 (+ (exp (* 2 b)) (+ (* -1 (exp b)) (* a (+ 9/2 (+ (* -1 (exp b)) (+ (* -1/2 (exp b)) (+ (* 1/2 (- (exp (* 2 b)) (exp b))) (* a (+ 9/2 (+ (* -1 (exp b)) (+ (* -1/6 (exp b)) (* 1/6 (- (exp (* 2 b)) (exp b))))))))))))))) (exp b))))) (exp b))
(/ (- (+ 1 (exp (* 2 b))) (exp b)) (+ 1 (exp (* 3 b))))
(- (+ (* a (- (+ (* -1 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 3 (/ 1 (+ 1 (exp (* 3 b))))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b)))))) (+ (* 3 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2))) (/ (exp b) (+ 1 (exp (* 3 b))))))) (+ (/ 1 (+ 1 (exp (* 3 b)))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b)))))) (/ (exp b) (+ 1 (exp (* 3 b)))))
(- (+ (* a (- (+ (* -1 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 3 (/ 1 (+ 1 (exp (* 3 b))))) (+ (* a (- (+ (* -1 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* -1/2 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 1/2 (/ (- (exp (* 2 b)) (exp b)) (+ 1 (exp (* 3 b))))) (* 9/2 (/ 1 (+ 1 (exp (* 3 b)))))))) (+ (* 3 (/ (- (+ (* -1 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 3 (/ 1 (+ 1 (exp (* 3 b))))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b)))))) (+ (* 3 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2))) (/ (exp b) (+ 1 (exp (* 3 b)))))) (+ 1 (exp (* 3 b))))) (* 9/2 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2)))))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b))))))) (+ (* 3 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2))) (/ (exp b) (+ 1 (exp (* 3 b))))))) (+ (/ 1 (+ 1 (exp (* 3 b)))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b)))))) (/ (exp b) (+ 1 (exp (* 3 b)))))
(- (+ (* a (- (+ (* -1 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 3 (/ 1 (+ 1 (exp (* 3 b))))) (+ (* a (- (+ (* -1 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* -1/2 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 1/2 (/ (- (exp (* 2 b)) (exp b)) (+ 1 (exp (* 3 b))))) (+ (* 9/2 (/ 1 (+ 1 (exp (* 3 b))))) (* a (- (+ (* -1 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* -1/6 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 1/6 (/ (- (exp (* 2 b)) (exp b)) (+ 1 (exp (* 3 b))))) (* 9/2 (/ 1 (+ 1 (exp (* 3 b)))))))) (+ (* 3 (/ (- (+ (* -1 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* -1/2 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 1/2 (/ (- (exp (* 2 b)) (exp b)) (+ 1 (exp (* 3 b))))) (* 9/2 (/ 1 (+ 1 (exp (* 3 b)))))))) (+ (* 3 (/ (- (+ (* -1 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 3 (/ 1 (+ 1 (exp (* 3 b))))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b)))))) (+ (* 3 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2))) (/ (exp b) (+ 1 (exp (* 3 b)))))) (+ 1 (exp (* 3 b))))) (* 9/2 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2))))) (+ 1 (exp (* 3 b))))) (+ (* 9/2 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2))) (* 9/2 (/ (- (+ (* -1 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 3 (/ 1 (+ 1 (exp (* 3 b))))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b)))))) (+ (* 3 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2))) (/ (exp b) (+ 1 (exp (* 3 b)))))) (+ 1 (exp (* 3 b))))))))))))) (+ (* 3 (/ (- (+ (* -1 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 3 (/ 1 (+ 1 (exp (* 3 b))))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b)))))) (+ (* 3 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2))) (/ (exp b) (+ 1 (exp (* 3 b)))))) (+ 1 (exp (* 3 b))))) (* 9/2 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2)))))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b))))))) (+ (* 3 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2))) (/ (exp b) (+ 1 (exp (* 3 b))))))) (+ (/ 1 (+ 1 (exp (* 3 b)))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b)))))) (/ (exp b) (+ 1 (exp (* 3 b)))))
(- (exp (* 2 b)) (exp b))
(- (+ (exp (* 2 b)) (* -1 (* a (exp b)))) (exp b))
(- (+ (exp (* 2 b)) (* a (- (* -1/2 (* a (exp b))) (exp b)))) (exp b))
(- (+ (exp (* 2 b)) (* a (- (* a (- (* -1/6 (* a (exp b))) (* 1/2 (exp b)))) (exp b)))) (exp 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 a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(+ 1 (* -1 (/ b (+ 1 (exp a)))))
(+ 1 (* -1 (/ b (+ 1 (exp a)))))
(+ 1 (* -1 (/ b (+ 1 (exp a)))))
(+ 1 (* -1 (/ b (+ 1 (exp a)))))
(* -1 (/ b (+ 1 (exp a))))
(* -1 (/ b (+ 1 (exp a))))
(* -1 (/ b (+ 1 (exp a))))
(* -1 (/ b (+ 1 (exp a))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(exp a)
(exp a)
(exp a)
(exp a)
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b)))))
(+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b)))))
(+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b)))))
(+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b)))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(- (exp (* 2 b)) (exp (+ a b)))
(- (exp (* 2 b)) (exp (+ a b)))
(- (exp (* 2 b)) (exp (+ a b)))
(- (exp (* 2 b)) (exp (+ a b)))
(/ (exp a) (+ 1 (exp a)))
(/ (exp a) (+ 1 (exp a)))
(/ (exp a) (+ 1 (exp a)))
(/ (exp a) (+ 1 (exp a)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(+ 1 (* -1 (/ b (+ 1 (exp a)))))
(+ 1 (* -1 (/ b (+ 1 (exp a)))))
(+ 1 (* -1 (/ b (+ 1 (exp a)))))
(+ 1 (* -1 (/ b (+ 1 (exp a)))))
(* -1 (/ b (+ 1 (exp a))))
(* -1 (/ b (+ 1 (exp a))))
(* -1 (/ b (+ 1 (exp a))))
(* -1 (/ b (+ 1 (exp a))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(exp a)
(exp a)
(exp a)
(exp a)
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a))))))
(+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a))))))
(+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a))))))
(+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a))))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a)))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a)))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a)))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a)))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(- (exp (* 2 b)) (exp (- b (* -1 a))))
(- (exp (* 2 b)) (exp (- b (* -1 a))))
(- (exp (* 2 b)) (exp (- b (* -1 a))))
(- (exp (* 2 b)) (exp (- b (* -1 a))))
(/ (exp a) (+ 1 (exp a)))
(/ (exp a) (+ 1 (exp a)))
(/ (exp a) (+ 1 (exp a)))
(/ (exp a) (+ 1 (exp a)))
Outputs
(/ (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))))
(fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (neg.f64 b) (/.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 b (neg.f64 (fma.f64 b (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1/2 binary64))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))))) (/.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 b (fma.f64 b (neg.f64 (fma.f64 b (-.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1/6 binary64))) (/.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1/2 binary64))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1/2 binary64))))) (/.f64 (neg.f64 (exp.f64 a)) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(/ (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))))
(fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (neg.f64 b) (/.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))))
(fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (neg.f64 b) (/.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))))
(fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (neg.f64 b) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ b (+ 1 (exp a)))))
(-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(+ 1 (* -1 (/ b (+ 1 (exp a)))))
(-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(+ 1 (* -1 (/ b (+ 1 (exp a)))))
(-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(* -1 (/ b (+ 1 (exp a))))
(neg.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(* -1 (/ b (+ 1 (exp a))))
(neg.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(* -1 (/ b (+ 1 (exp a))))
(neg.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(* -1 (/ b (+ 1 (exp a))))
(neg.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(/ (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))))
(fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (neg.f64 b) (/.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 b (neg.f64 (fma.f64 b (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1/2 binary64))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))))) (/.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 b (fma.f64 b (neg.f64 (fma.f64 b (-.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1/6 binary64))) (/.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1/2 binary64))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1/2 binary64))))) (/.f64 (neg.f64 (exp.f64 a)) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 b))
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
(fma.f64 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
2
#s(literal 2 binary64)
(+ 2 b)
(+.f64 b #s(literal 2 binary64))
(+ 2 (* b (+ 1 (* 1/2 b))))
(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
1
#s(literal 1 binary64)
(+ 1 b)
(+.f64 #s(literal 1 binary64) b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/ (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))))
(fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (neg.f64 b) (/.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 b (neg.f64 (fma.f64 b (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1/2 binary64))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))))) (/.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))))
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(-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(+ 1 (* -1 (/ b (+ 1 (exp a)))))
(-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(* -1 (/ b (+ 1 (exp a))))
(neg.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(* -1 (/ b (+ 1 (exp a))))
(neg.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(* -1 (/ b (+ 1 (exp a))))
(neg.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(* -1 (/ b (+ 1 (exp a))))
(neg.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (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.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(+ (exp a) (exp b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+ (exp a) (exp b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+ (exp a) (exp b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+ (exp a) (exp b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a))))))
(fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64))))
(+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a))))))
(fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64))))
(+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a))))))
(fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64))))
(+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a))))))
(fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a)))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a)))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a)))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a)))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))
(- (exp (* 2 b)) (exp (- b (* -1 a))))
(-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))
(- (exp (* 2 b)) (exp (- b (* -1 a))))
(-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))
(- (exp (* 2 b)) (exp (- b (* -1 a))))
(-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))
(- (exp (* 2 b)) (exp (- b (* -1 a))))
(-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))

rewrite289.0ms (3.4%)

Memory
-17.6MiB live, 586.3MiB allocated
Rules
4 850×lower-fma.f32
4 848×lower-fma.f64
4 452×lower-/.f32
4 442×lower-/.f64
4 272×lower-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
036167
062169
1233166
21738160
08629160
Stop Event
iter limit
node limit
iter limit
Counts
17 → 573
Calls
Call 1
Inputs
#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)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(exp.f64 b)
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(exp.f64 a)
(+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))
#s(approx (exp b) #s(literal 1 binary64))
(fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64))))
(/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))
(-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(exp.f64 (*.f64 b #s(literal 3 binary64)))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (*.f64 (exp.f64 a) (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64))) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(+.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (*.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
(+.f64 (*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))) (*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))))
(+.f64 (*.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) (/.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 (/.f64 (/.f64 (*.f64 (*.f64 b b) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) #s(literal -2 binary64))) (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal -1 binary64))) (*.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (exp.f64 (neg.f64 a)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal -1 binary64))) (*.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (exp.f64 (neg.f64 a)))))
(fma.f64 (exp.f64 a) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a))) (*.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
(fma.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(fma.f64 #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))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
(fma.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) (*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1 binary64)))
(fma.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1 binary64) (*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))))
(fma.f64 (neg.f64 (exp.f64 a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a))) (*.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a))) (exp.f64 a) (*.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a))) (pow.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64)) (*.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (/.f64 (exp.f64 a) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 #s(literal 1 binary64) (exp.f64 a))))) (*.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 a a))) (/.f64 (exp.f64 a) (/.f64 #s(literal 1 binary64) (expm1.f64 a))) (*.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
(fma.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
(fma.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 #s(literal 1 binary64) (exp.f64 a))))) (*.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
(fma.f64 (/.f64 (exp.f64 a) (expm1.f64 (+.f64 a a))) (expm1.f64 a) (*.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
(fma.f64 (/.f64 (exp.f64 a) (expm1.f64 (+.f64 a a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 a))) (*.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
(fma.f64 (/.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 a))) (*.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
(fma.f64 (/.f64 (exp.f64 a) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (*.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
(fma.f64 (/.f64 (exp.f64 a) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)))) (*.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (/.f64 (exp.f64 a) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)))) (*.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (/.f64 (exp.f64 a) (/.f64 #s(literal 1 binary64) (expm1.f64 a))) (*.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (*.f64 (exp.f64 a) (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (*.f64 (exp.f64 a) (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)))))
(/.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (*.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (exp.f64 (neg.f64 a))))
(/.f64 (*.f64 (exp.f64 a) (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 3 binary64))) (exp.f64 a)) (*.f64 (-.f64 (fma.f64 (*.f64 b b) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 (*.f64 b b) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))) (*.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (exp.f64 (neg.f64 a)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 3 binary64))) (neg.f64 (exp.f64 a))) (*.f64 (-.f64 (fma.f64 (*.f64 b b) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))) (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(/.f64 (*.f64 (fma.f64 (*.f64 b b) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) #s(literal -2 binary64)) #s(literal -1 binary64)) (exp.f64 a)) (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal -1 binary64)) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 b b) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal -1 binary64)) (*.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (exp.f64 (neg.f64 a)))))
(/.f64 (*.f64 (fma.f64 (*.f64 b b) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) #s(literal -2 binary64)) #s(literal -1 binary64)) (neg.f64 (exp.f64 a))) (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(/.f64 (*.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 3 binary64)))) (*.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 b b) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))))
(/.f64 (*.f64 (exp.f64 a) (fma.f64 (*.f64 b b) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) #s(literal -2 binary64)) #s(literal -1 binary64))) (*.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal -1 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 3 binary64)))) (*.f64 (*.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (exp.f64 (neg.f64 a))) (-.f64 (fma.f64 (*.f64 b b) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) #s(literal -2 binary64)) #s(literal -1 binary64))) (*.f64 (*.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (exp.f64 (neg.f64 a))) (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal -1 binary64))))
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(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 a a))) (/.f64 (exp.f64 a) (/.f64 #s(literal 1 binary64) (expm1.f64 a))))
(*.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 #s(literal 1 binary64) (exp.f64 a))))
(*.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 #s(literal 1 binary64) (exp.f64 a))))))
(*.f64 (/.f64 (exp.f64 a) (expm1.f64 (+.f64 a a))) (expm1.f64 a))
(*.f64 (/.f64 (exp.f64 a) (expm1.f64 (+.f64 a a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 a))))
(*.f64 (/.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 a))))
(*.f64 (/.f64 (exp.f64 a) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(*.f64 (/.f64 (exp.f64 a) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (/.f64 (exp.f64 a) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (/.f64 (exp.f64 a) (/.f64 #s(literal 1 binary64) (expm1.f64 a))))
(exp.f64 (+.f64 b b))
(exp.f64 (*.f64 (+.f64 b b) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 3 binary64))) b))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) b))
(exp.f64 (*.f64 b #s(literal 6 binary64)))
(exp.f64 (*.f64 b #s(literal 9 binary64)))
(exp.f64 (*.f64 (+.f64 b b) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (+.f64 b b) #s(literal 3 binary64)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (+.f64 b b) #s(literal 3/2 binary64)))
(exp.f64 (fma.f64 (+.f64 b b) #s(literal 3 binary64) (*.f64 (+.f64 b b) #s(literal 3 binary64))))
(exp.f64 (fma.f64 (+.f64 b b) #s(literal 3 binary64) (+.f64 b b)))
(exp.f64 (fma.f64 b #s(literal 3 binary64) (*.f64 (+.f64 b b) #s(literal 3 binary64))))
(/.f64 (exp.f64 (/.f64 (*.f64 b b) #s(literal 0 binary64))) (exp.f64 (/.f64 (*.f64 b b) #s(literal 0 binary64))))
(pow.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) #s(literal 0 binary64)))
(pow.f64 (exp.f64 b) #s(literal 3 binary64))
(pow.f64 (exp.f64 b) #s(literal 2 binary64))
(pow.f64 (exp.f64 b) #s(literal 9 binary64))
(pow.f64 (exp.f64 b) #s(literal 6 binary64))
(pow.f64 (exp.f64 b) #s(literal 9/2 binary64))
(pow.f64 (exp.f64 b) #s(literal 4 binary64))
(pow.f64 (exp.f64 b) #s(literal 18 binary64))
(pow.f64 (exp.f64 b) #s(literal 27 binary64))
(pow.f64 (exp.f64 b) #s(literal 12 binary64))
(pow.f64 (exp.f64 (+.f64 b b)) #s(literal 3 binary64))
(pow.f64 (exp.f64 (+.f64 b b)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (+.f64 b b)) #s(literal 9 binary64))
(pow.f64 (exp.f64 (+.f64 b b)) #s(literal 6 binary64))
(pow.f64 (exp.f64 (+.f64 b b)) #s(literal 3/2 binary64))
(pow.f64 (exp.f64 (+.f64 b b)) #s(literal 4 binary64))
(pow.f64 (exp.f64 #s(literal 3 binary64)) b)
(pow.f64 (exp.f64 #s(literal 3 binary64)) (+.f64 b b))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (*.f64 b #s(literal 3/2 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) b)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (+.f64 b b))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 b #s(literal 3/2 binary64)))
(pow.f64 (exp.f64 (*.f64 b #s(literal 3/2 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (exp.f64 #s(literal 2 binary64)) (exp.f64 #s(literal 2 binary64))) b)
(pow.f64 (*.f64 (exp.f64 #s(literal 3 binary64)) (exp.f64 #s(literal 3 binary64))) b)
(pow.f64 (exp.f64 (*.f64 (fma.f64 b b #s(literal 0 binary64)) (+.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal 0 binary64))))
(*.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b)))
(*.f64 (exp.f64 b) (exp.f64 b))
(*.f64 (exp.f64 b) (exp.f64 (+.f64 b b)))
(*.f64 (exp.f64 (+.f64 b b)) #s(literal 1 binary64))
(*.f64 (exp.f64 (+.f64 b b)) (exp.f64 b))
(*.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b b)))
(*.f64 (exp.f64 (+.f64 b b)) (exp.f64 (*.f64 b #s(literal 3/2 binary64))))
(*.f64 (exp.f64 (*.f64 b #s(literal 3/2 binary64))) (exp.f64 (+.f64 b b)))
(*.f64 (exp.f64 (*.f64 b #s(literal 3/2 binary64))) (exp.f64 (*.f64 b #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (exp.f64 (*.f64 b #s(literal 3/2 binary64))) #s(literal 3/2 binary64)) (pow.f64 (exp.f64 (*.f64 b #s(literal 3/2 binary64))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (exp.f64 (*.f64 b #s(literal 3/2 binary64))) #s(literal 3 binary64)) (pow.f64 (exp.f64 (*.f64 b #s(literal 3/2 binary64))) #s(literal 3 binary64)))

eval141.0ms (1.6%)

Memory
-5.9MiB live, 402.7MiB allocated
Compiler

Compiled 24 426 to 1 907 computations (92.2% saved)

prune98.0ms (1.2%)

Memory
-8.8MiB live, 313.2MiB allocated
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New9648972
Fresh000
Picked314
Done000
Total9679976
Accuracy
100.0%
Counts
976 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
60.4%
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
82.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
52.7%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
47.1%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
33.3%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
27.9%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
33.1%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
36.2%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))
33.5%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 a (+.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))
Compiler

Compiled 183 to 114 computations (37.7% saved)

simplify242.0ms (2.8%)

Memory
-8.8MiB live, 396.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(exp.f64 b)
cost-diff0
(+.f64 (exp.f64 b) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
cost-diff0
#s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 a (+.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64))) (fma.f64 b #s(literal -1/4 binary64) #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 a (+.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))
cost-diff64
(fma.f64 a (+.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
cost-diff960
(+.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64)))
cost-diff0
(+.f64 b #s(literal 2 binary64))
cost-diff0
#s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))
cost-diff0
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
cost-diff0
#s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))
cost-diff0
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))
cost-diff0
#s(approx (exp a) #s(literal 1 binary64))
cost-diff0
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))
cost-diff0
(exp.f64 a)
cost-diff0
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
Rules
15 412×lower-fma.f32
15 404×lower-fma.f64
2 842×lower-+.f32
2 836×lower-+.f64
2 246×lower-*.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
042238
060238
194238
2175222
3467206
4979206
51192206
61611206
72062206
82536206
93097206
104748206
116097206
127542206
08117206
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
(exp.f64 a)
a
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))
#s(approx (exp a) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (exp b) #s(literal 1 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))
#s(approx (/ 1 (+ 1 (exp b))) #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 (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))
#s(literal 1 binary64)
#s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))
(+.f64 b #s(literal 2 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 a (+.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))
#s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 a (+.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
(fma.f64 a (+.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
a
(+.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64)))
(fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64))
b
#s(literal -1/8 binary64)
#s(literal 1/2 binary64)
(fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64))
#s(literal 1/8 binary64)
#s(literal -1/4 binary64)
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
(+.f64 (exp.f64 b) #s(literal 1 binary64))
(exp.f64 b)
b
#s(literal 1 binary64)
Outputs
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
(exp.f64 a)
a
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))
#s(approx (exp a) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (exp b) #s(literal 1 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))
#s(approx (/ 1 (+ 1 (exp b))) #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 (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))
#s(literal 1 binary64)
#s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))
(+.f64 b #s(literal 2 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 a (+.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64))) (fma.f64 b #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 #s(literal 1/4 binary64) (+.f64 (neg.f64 b) a) #s(literal 1/2 binary64))))
#s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 a (+.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64))) (fma.f64 b #s(literal -1/4 binary64) #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 (neg.f64 b) a) #s(literal 1/2 binary64)))
(fma.f64 a (+.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/4 binary64) (+.f64 (neg.f64 b) a) #s(literal 1/2 binary64))
a
(+.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64)))
#s(literal 1/4 binary64)
(fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64))
b
#s(literal -1/8 binary64)
#s(literal 1/2 binary64)
(fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64))
#s(literal 1/8 binary64)
#s(literal -1/4 binary64)
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+.f64 (exp.f64 b) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(exp.f64 b)
b
#s(literal 1 binary64)

localize108.0ms (1.3%)

Memory
13.1MiB live, 291.3MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0
(exp.f64 b)
accuracy0.0078125
(+.f64 (exp.f64 b) #s(literal 1 binary64))
accuracy46.16839168952465
#s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
accuracy0
(fma.f64 a (+.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
accuracy16.22192256517126
#s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 a (+.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
accuracy26.941490574804664
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 a (+.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))
accuracy31.25177329087212
(+.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64)))
accuracy0
(+.f64 b #s(literal 2 binary64))
accuracy0.01171875
(/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))
accuracy11.008211853628106
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
accuracy32.091710220083336
#s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))
accuracy11.008211853628106
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))
accuracy30.191617662541365
#s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))
accuracy0.00390625
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))
accuracy0.25390487397081396
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
accuracy16.85561284495911
#s(approx (exp a) #s(literal 1 binary64))
accuracy32.34064259268582
#s(approx (exp b) #s(literal 1 binary64))
Samples
48.0ms122×1valid
25.0ms134×0valid
Compiler

Compiled 153 to 34 computations (77.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
ival-add: 18.0ms (34.7% of total)
adjust: 9.0ms (17.4% of total)
ival-div: 8.0ms (15.4% of total)
ival-mult: 8.0ms (15.4% of total)
ival-exp: 6.0ms (11.6% of total)
ival-sub: 2.0ms (3.9% of total)
exact: 1.0ms (1.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series37.0ms (0.4%)

Memory
4.9MiB live, 88.3MiB allocated
Counts
18 → 312
Calls
Call 1
Inputs
#<alt (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))>
#<alt (exp.f64 a)>
#<alt (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))>
#<alt #s(approx (exp a) #s(literal 1 binary64))>
#<alt #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))>
#<alt #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))>
#<alt #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))>
#<alt #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))>
#<alt (+.f64 b #s(literal 2 binary64))>
#<alt (+.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64)))>
#<alt (fma.f64 a (+.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))>
#<alt #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 a (+.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))>
#<alt #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 a (+.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))>
#<alt #s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (exp.f64 b) #s(literal 1 binary64)))>
#<alt (+.f64 (exp.f64 b) #s(literal 1 binary64))>
#<alt (exp.f64 b)>
#<alt #s(approx (exp b) #s(literal 1 binary64))>
Outputs
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))>
#<alt (+ (* 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))))>
#<alt (+ (* 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))))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (+ b (exp a)))>
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))>
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))>
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))>
#<alt (+ (* 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))))>
#<alt (+ (* 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))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 b))>
#<alt (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))>
#<alt (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))>
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))>
#<alt (+ (* 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))))>
#<alt (+ (* 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))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 b))>
#<alt (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))>
#<alt (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))>
#<alt 2>
#<alt (+ 2 b)>
#<alt (+ 2 (* b (+ 1 (* 1/2 b))))>
#<alt (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))>
#<alt 2>
#<alt (+ 2 b)>
#<alt (+ 2 b)>
#<alt (+ 2 b)>
#<alt 1/4>
#<alt 1/4>
#<alt 1/4>
#<alt 1/4>
#<alt (+ 1/2 (* 1/4 a))>
#<alt (+ 1/2 (+ (* -1/4 b) (* 1/4 a)))>
#<alt (+ 1/2 (+ (* -1/4 b) (* 1/4 a)))>
#<alt (+ 1/2 (+ (* -1/4 b) (* 1/4 a)))>
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))>
#<alt (+ (* 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))))>
#<alt (+ (* 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))))>
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))>
#<alt (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))>
#<alt (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))>
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))>
#<alt (+ (* 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))))>
#<alt (+ (* 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))))>
#<alt 2>
#<alt (+ 2 b)>
#<alt (+ 2 (* b (+ 1 (* 1/2 b))))>
#<alt (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))>
#<alt 1>
#<alt (+ 1 b)>
#<alt (+ 1 (* b (+ 1 (* 1/2 b))))>
#<alt (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))>
#<alt 1>
#<alt (+ 1 b)>
#<alt (+ 1 (* b (+ 1 (* 1/2 b))))>
#<alt (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt b>
#<alt (* b (+ 1 (* 2 (/ 1 b))))>
#<alt (* b (+ 1 (* 2 (/ 1 b))))>
#<alt (* b (+ 1 (* 2 (/ 1 b))))>
#<alt 1/4>
#<alt 1/4>
#<alt 1/4>
#<alt 1/4>
#<alt (* -1/4 b)>
#<alt (* b (- (+ (* 1/4 (/ a b)) (* 1/2 (/ 1 b))) 1/4))>
#<alt (* b (- (+ (* 1/4 (/ a b)) (* 1/2 (/ 1 b))) 1/4))>
#<alt (* b (- (+ (* 1/4 (/ a b)) (* 1/2 (/ 1 b))) 1/4))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2)))>
#<alt (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a))))))>
#<alt (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a))))))>
#<alt (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a))))))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt b>
#<alt (* b (+ 1 (* 2 (/ 1 b))))>
#<alt (* b (+ 1 (* 2 (/ 1 b))))>
#<alt (* b (+ 1 (* 2 (/ 1 b))))>
#<alt 1/4>
#<alt 1/4>
#<alt 1/4>
#<alt 1/4>
#<alt (* -1/4 b)>
#<alt (* -1 (* b (+ 1/4 (* -1 (/ (+ 1/2 (* 1/4 a)) b)))))>
#<alt (* -1 (* b (+ 1/4 (* -1 (/ (+ 1/2 (* 1/4 a)) b)))))>
#<alt (* -1 (* b (+ 1/4 (* -1 (/ (+ 1/2 (* 1/4 a)) b)))))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2)))>
#<alt (* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))))>
#<alt (* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))))>
#<alt (* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (+ (* 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))))>
#<alt (+ (* 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))))>
#<alt 1>
#<alt (+ 1 a)>
#<alt (+ 1 (* a (+ 1 (* 1/2 a))))>
#<alt (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (+ a (exp b)))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))>
#<alt 1>
#<alt (+ 1 a)>
#<alt (+ 1 (* a (+ 1 (* 1/2 a))))>
#<alt (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (+ (* 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))))>
#<alt (+ (* 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))))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (+ (* 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))))>
#<alt (+ (* 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))))>
#<alt (+ 1/2 (* -1/4 b))>
#<alt (+ 1/2 (+ (* -1/4 b) (* a (+ 1/4 (+ (* -1/8 b) (* 1/8 b))))))>
#<alt (+ 1/2 (+ (* -1/4 b) (* a (+ 1/4 (+ (* -1/8 b) (* 1/8 b))))))>
#<alt (+ 1/2 (+ (* -1/4 b) (* a (+ 1/4 (+ (* -1/8 b) (* 1/8 b))))))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (+ (* 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))))>
#<alt (+ (* 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))))>
#<alt (* 1/2 (+ 1 (* -1/2 b)))>
#<alt (+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))>
#<alt (+ (* 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))))))>
#<alt (+ (* 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))))))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (+ (* 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))))>
#<alt (+ (* 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))))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (* a (+ 1/4 (+ (* -1/8 b) (* 1/8 b))))>
#<alt (* a (+ 1/4 (+ (* -1/4 (/ b a)) (+ (* -1/8 b) (+ (* 1/8 b) (* 1/2 (/ 1 a)))))))>
#<alt (* a (+ 1/4 (+ (* -1/4 (/ b a)) (+ (* -1/8 b) (+ (* 1/8 b) (* 1/2 (/ 1 a)))))))>
#<alt (* a (+ 1/4 (+ (* -1/4 (/ b a)) (+ (* -1/8 b) (+ (* 1/8 b) (* 1/2 (/ 1 a)))))))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))>
#<alt (/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))>
#<alt (/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))>
#<alt (/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (* a (+ 1/4 (+ (* -1/8 b) (* 1/8 b))))>
#<alt (* -1 (* a (+ (* -1 (+ 1/4 (+ (* -1/8 b) (* 1/8 b)))) (* -1 (/ (+ 1/2 (* -1/4 b)) a)))))>
#<alt (* -1 (* a (+ (* -1 (+ 1/4 (+ (* -1/8 b) (* 1/8 b)))) (* -1 (/ (+ 1/2 (* -1/4 b)) a)))))>
#<alt (* -1 (* a (+ (* -1 (+ 1/4 (+ (* -1/8 b) (* 1/8 b)))) (* -1 (/ (+ 1/2 (* -1/4 b)) a)))))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))>
#<alt (/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))>
#<alt (/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))>
#<alt (/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
Calls

6 calls:

TimeVariablePointExpression
25.0ms
b
@-inf
((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp a) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ 1 (exp b))) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ 1 (exp b))) (+ 1 (exp b)) (+ b 2) (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4)) (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (/ (exp a) (+ (exp a) (exp b))) (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (/ (exp a) (+ (exp a) (exp b))) (+ (exp b) 1) (exp b) (exp b))
2.0ms
a
@inf
((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp a) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ 1 (exp b))) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ 1 (exp b))) (+ 1 (exp b)) (+ b 2) (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4)) (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (/ (exp a) (+ (exp a) (exp b))) (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (/ (exp a) (+ (exp a) (exp b))) (+ (exp b) 1) (exp b) (exp b))
2.0ms
a
@-inf
((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp a) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ 1 (exp b))) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ 1 (exp b))) (+ 1 (exp b)) (+ b 2) (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4)) (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (/ (exp a) (+ (exp a) (exp b))) (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (/ (exp a) (+ (exp a) (exp b))) (+ (exp b) 1) (exp b) (exp b))
2.0ms
b
@inf
((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp a) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ 1 (exp b))) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ 1 (exp b))) (+ 1 (exp b)) (+ b 2) (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4)) (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (/ (exp a) (+ (exp a) (exp b))) (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (/ (exp a) (+ (exp a) (exp b))) (+ (exp b) 1) (exp b) (exp b))
1.0ms
b
@0
((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp a) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ 1 (exp b))) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ 1 (exp b))) (+ 1 (exp b)) (+ b 2) (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4)) (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (/ (exp a) (+ (exp a) (exp b))) (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (/ (exp a) (+ (exp a) (exp b))) (+ (exp b) 1) (exp b) (exp b))

simplify234.0ms (2.7%)

Memory
-4.1MiB live, 507.9MiB allocated
Algorithm
egg-herbie
Rules
14 312×lower-fma.f64
14 312×lower-fma.f32
4 876×lower-*.f64
4 876×lower-*.f32
3 330×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02474022
17613837
225683614
082283471
Stop Event
iter limit
node limit
Counts
312 → 310
Calls
Call 1
Inputs
(/ (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)))))))
(/ (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
(+ 1/2 (* -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)))
(/ (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
(+ 1/2 (* -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 b)
(+ 2 b)
(+ 2 b)
1/4
1/4
1/4
1/4
(+ 1/2 (* 1/4 a))
(+ 1/2 (+ (* -1/4 b) (* 1/4 a)))
(+ 1/2 (+ (* -1/4 b) (* 1/4 a)))
(+ 1/2 (+ (* -1/4 b) (* 1/4 a)))
(/ (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))))
(/ (exp a) (+ 1 (exp a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(/ (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))))
2
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
1
(+ 1 b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
1
(+ 1 b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
b
(* b (+ 1 (* 2 (/ 1 b))))
(* b (+ 1 (* 2 (/ 1 b))))
(* b (+ 1 (* 2 (/ 1 b))))
1/4
1/4
1/4
1/4
(* -1/4 b)
(* b (- (+ (* 1/4 (/ a b)) (* 1/2 (/ 1 b))) 1/4))
(* b (- (+ (* 1/4 (/ a b)) (* 1/2 (/ 1 b))) 1/4))
(* b (- (+ (* 1/4 (/ a b)) (* 1/2 (/ 1 b))) 1/4))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (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 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a))))))
(* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a))))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
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b
(* b (+ 1 (* 2 (/ 1 b))))
(* b (+ 1 (* 2 (/ 1 b))))
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1/4
1/4
1/4
1/4
(* -1/4 b)
(* -1 (* b (+ 1/4 (* -1 (/ (+ 1/2 (* 1/4 a)) b)))))
(* -1 (* b (+ 1/4 (* -1 (/ (+ 1/2 (* 1/4 a)) b)))))
(* -1 (* b (+ 1/4 (* -1 (/ (+ 1/2 (* 1/4 a)) b)))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2)))
(* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))))
(* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))))
(* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(+ 1 (exp b))
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(exp b)
(exp b)
(exp b)
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(exp b)
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(/ 1 (+ 1 (exp b)))
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(+ (* 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)
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1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(/ 1 (+ 1 (exp b)))
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(+ (* 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 (exp b)))
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(+ (* 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))))
(+ 1/2 (* -1/4 b))
(+ 1/2 (+ (* -1/4 b) (* a (+ 1/4 (+ (* -1/8 b) (* 1/8 b))))))
(+ 1/2 (+ (* -1/4 b) (* a (+ 1/4 (+ (* -1/8 b) (* 1/8 b))))))
(+ 1/2 (+ (* -1/4 b) (* a (+ 1/4 (+ (* -1/8 b) (* 1/8 b))))))
(/ 1 (+ 1 (exp b)))
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(+ (* 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))))
(* 1/2 (+ 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 (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)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(exp a)
(exp a)
(exp a)
(exp a)
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(exp a)
(exp a)
(exp a)
(exp a)
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(* a (+ 1/4 (+ (* -1/8 b) (* 1/8 b))))
(* a (+ 1/4 (+ (* -1/4 (/ b a)) (+ (* -1/8 b) (+ (* 1/8 b) (* 1/2 (/ 1 a)))))))
(* a (+ 1/4 (+ (* -1/4 (/ b a)) (+ (* -1/8 b) (+ (* 1/8 b) (* 1/2 (/ 1 a)))))))
(* a (+ 1/4 (+ (* -1/4 (/ b a)) (+ (* -1/8 b) (+ (* 1/8 b) (* 1/2 (/ 1 a)))))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(exp a)
(exp a)
(exp a)
(exp a)
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(exp a)
(exp a)
(exp a)
(exp a)
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(* a (+ 1/4 (+ (* -1/8 b) (* 1/8 b))))
(* -1 (* a (+ (* -1 (+ 1/4 (+ (* -1/8 b) (* 1/8 b)))) (* -1 (/ (+ 1/2 (* -1/4 b)) a)))))
(* -1 (* a (+ (* -1 (+ 1/4 (+ (* -1/8 b) (* 1/8 b)))) (* -1 (/ (+ 1/2 (* -1/4 b)) a)))))
(* -1 (* a (+ (* -1 (+ 1/4 (+ (* -1/8 b) (* 1/8 b)))) (* -1 (/ (+ 1/2 (* -1/4 b)) a)))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
Outputs
(/ (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))))
(fma.f64 b (neg.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 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 b (neg.f64 (fma.f64 b (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1/2 binary64))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))))) (/.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 b (fma.f64 b (neg.f64 (fma.f64 b (-.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1/6 binary64))) (/.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1/2 binary64))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1/2 binary64))))) (neg.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 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 #s(literal 1 binary64) (+.f64 (exp.f64 a) b))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+.f64 (exp.f64 a) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/ (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))))
(fma.f64 b (neg.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 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 b (neg.f64 (fma.f64 b (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1/2 binary64))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))))) (/.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 b (fma.f64 b (neg.f64 (fma.f64 b (-.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1/6 binary64))) (/.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1/2 binary64))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1/2 binary64))))) (neg.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 b))
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
(fma.f64 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/ (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))))
(fma.f64 b (neg.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 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 b (neg.f64 (fma.f64 b (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1/2 binary64))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))))) (/.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 b (fma.f64 b (neg.f64 (fma.f64 b (-.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1/6 binary64))) (/.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1/2 binary64))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1/2 binary64))))) (neg.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 b))
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
(fma.f64 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
2
#s(literal 2 binary64)
(+ 2 b)
(+.f64 b #s(literal 2 binary64))
(+ 2 (* b (+ 1 (* 1/2 b))))
(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ 2 b)
(+.f64 b #s(literal 2 binary64))
(+ 2 b)
(+.f64 b #s(literal 2 binary64))
(+ 2 b)
(+.f64 b #s(literal 2 binary64))
1/4
#s(literal 1/4 binary64)
1/4
#s(literal 1/4 binary64)
1/4
#s(literal 1/4 binary64)
1/4
#s(literal 1/4 binary64)
(+ 1/2 (* 1/4 a))
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/4 b) (* 1/4 a)))
(fma.f64 a #s(literal 1/4 binary64) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(+ 1/2 (+ (* -1/4 b) (* 1/4 a)))
(fma.f64 a #s(literal 1/4 binary64) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(+ 1/2 (+ (* -1/4 b) (* 1/4 a)))
(fma.f64 a #s(literal 1/4 binary64) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(/ (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))))
(fma.f64 b (neg.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 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 b (neg.f64 (fma.f64 b (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1/2 binary64))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))))) (/.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 b (fma.f64 b (neg.f64 (fma.f64 b (-.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1/6 binary64))) (/.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1/2 binary64))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1/2 binary64))))) (neg.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(/ (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))))
(fma.f64 b (neg.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.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))))
(fma.f64 b (neg.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.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))))
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(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(+ (exp a) (exp b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+ (exp a) (exp b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+ (exp a) (exp b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+ (exp a) (exp b))
(+.f64 (exp.f64 a) (exp.f64 b))
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(* a (+ 1/4 (+ (* -1/8 b) (* 1/8 b))))
(*.f64 a #s(literal 1/4 binary64))
(* a (+ 1/4 (+ (* -1/4 (/ b a)) (+ (* -1/8 b) (+ (* 1/8 b) (* 1/2 (/ 1 a)))))))
(*.f64 a (fma.f64 b (/.f64 #s(literal -1/4 binary64) a) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a))))
(* a (+ 1/4 (+ (* -1/4 (/ b a)) (+ (* -1/8 b) (+ (* 1/8 b) (* 1/2 (/ 1 a)))))))
(*.f64 a (fma.f64 b (/.f64 #s(literal -1/4 binary64) a) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a))))
(* a (+ 1/4 (+ (* -1/4 (/ b a)) (+ (* -1/8 b) (+ (* 1/8 b) (* 1/2 (/ 1 a)))))))
(*.f64 a (fma.f64 b (/.f64 #s(literal -1/4 binary64) a) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a))))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(*.f64 (exp.f64 a) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(*.f64 (exp.f64 a) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(*.f64 (exp.f64 a) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(*.f64 (exp.f64 a) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (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.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(+ (exp a) (exp b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+ (exp a) (exp b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+ (exp a) (exp b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+ (exp a) (exp b))
(+.f64 (exp.f64 a) (exp.f64 b))
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(* a (+ 1/4 (+ (* -1/8 b) (* 1/8 b))))
(*.f64 a #s(literal 1/4 binary64))
(* -1 (* a (+ (* -1 (+ 1/4 (+ (* -1/8 b) (* 1/8 b)))) (* -1 (/ (+ 1/2 (* -1/4 b)) a)))))
(*.f64 a (+.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)) a)))
(* -1 (* a (+ (* -1 (+ 1/4 (+ (* -1/8 b) (* 1/8 b)))) (* -1 (/ (+ 1/2 (* -1/4 b)) a)))))
(*.f64 a (+.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)) a)))
(* -1 (* a (+ (* -1 (+ 1/4 (+ (* -1/8 b) (* 1/8 b)))) (* -1 (/ (+ 1/2 (* -1/4 b)) a)))))
(*.f64 a (+.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)) a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(*.f64 (exp.f64 a) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(*.f64 (exp.f64 a) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(*.f64 (exp.f64 a) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(*.f64 (exp.f64 a) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite304.0ms (3.6%)

Memory
15.4MiB live, 612.0MiB allocated
Rules
5 864×lower-*.f64
5 864×lower-*.f32
4 486×lower-/.f32
4 482×lower-/.f64
3 484×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042212
060212
1278212
22384212
09186208
Stop Event
iter limit
node limit
iter limit
Counts
18 → 420
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
(exp.f64 a)
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))
#s(approx (exp a) #s(literal 1 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))
#s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))
#s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))
(+.f64 b #s(literal 2 binary64))
(+.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64)))
(fma.f64 a (+.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64))) (fma.f64 b #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 a (+.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))
#s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 a (+.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
(+.f64 (exp.f64 b) #s(literal 1 binary64))
(exp.f64 b)
#s(approx (exp b) #s(literal 1 binary64))
Outputs
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (exp.f64 (neg.f64 a)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (exp.f64 a) (neg.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))))
(neg.f64 (/.f64 (neg.f64 (exp.f64 a)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))))
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (exp.f64 (neg.f64 a))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (exp.f64 (neg.f64 a))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (exp.f64 (neg.f64 a)))))
(/.f64 (neg.f64 (exp.f64 a)) (neg.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (exp.f64 a))) (neg.f64 (neg.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))))
(pow.f64 (*.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (exp.f64 (neg.f64 a))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (exp.f64 (neg.f64 a))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (exp.f64 a) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))))
(*.f64 (neg.f64 (exp.f64 a)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) (exp.f64 a))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) (pow.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64)))
(*.f64 (/.f64 (exp.f64 a) (fma.f64 #s(approx (exp a) #s(literal 1 binary64)) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))))) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (-.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64)))))
(*.f64 (/.f64 (exp.f64 a) (*.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (-.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))) (-.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
(exp.f64 a)
(*.f64 (exp.f64 a) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 a))
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))
(+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))) (-.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) (/.f64 (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (-.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (-.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64)))) (fma.f64 #s(approx (exp a) #s(literal 1 binary64)) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (*.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (-.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))))
(/.f64 (fma.f64 #s(approx (exp a) #s(literal 1 binary64)) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (-.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64)))))
(/.f64 (fma.f64 #s(approx (exp a) #s(literal 1 binary64)) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)) (-.f64 (*.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))))
(/.f64 (*.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (-.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) (-.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(approx (exp a) #s(literal 1 binary64)) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))))) (neg.f64 (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (-.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (-.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))) (neg.f64 (-.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))))
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(/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 b #s(literal -1/8 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/8 binary64)))) (-.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64)))) a) (-.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64))) (*.f64 (-.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/16 binary64) (*.f64 b b))))) (*.f64 (-.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 a (*.f64 (fma.f64 b #s(literal -1/8 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/8 binary64)))) (*.f64 a (fma.f64 b #s(literal -1/8 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/8 binary64))))))) (fma.f64 a (fma.f64 b #s(literal -1/8 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) (*.f64 (fma.f64 a (fma.f64 b #s(literal -1/8 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) (*.f64 (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) (*.f64 (fma.f64 a (fma.f64 b #s(literal -1/8 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) (fma.f64 a (fma.f64 b #s(literal -1/8 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))))
(pow.f64 (/.f64 (fma.f64 (fma.f64 b #s(literal -1/8 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/8 binary64)))) (*.f64 a (*.f64 a (fma.f64 b #s(literal -1/8 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/8 binary64)))))) (*.f64 (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (-.f64 (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (*.f64 a (fma.f64 b #s(literal -1/8 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/8 binary64)))))))) (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (fma.f64 b #s(literal -1/8 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/8 binary64)))) (*.f64 (fma.f64 b #s(literal -1/8 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/8 binary64)))) (fma.f64 b #s(literal -1/8 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/8 binary64)))))) (*.f64 (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 a (fma.f64 b #s(literal -1/8 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) (*.f64 (fma.f64 a (fma.f64 b #s(literal -1/8 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/8 binary64)))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (fma.f64 a (fma.f64 b #s(literal -1/8 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (fma.f64 b #s(literal -1/8 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/8 binary64)))) (*.f64 (fma.f64 b #s(literal -1/8 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/8 binary64)))) (fma.f64 b #s(literal -1/8 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/8 binary64)))))) (*.f64 (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b #s(literal -1/8 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/8 binary64)))) (*.f64 a (*.f64 a (fma.f64 b #s(literal -1/8 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/8 binary64)))))) (*.f64 (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (-.f64 (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (*.f64 a (fma.f64 b #s(literal -1/8 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/8 binary64))))))))))
(*.f64 (*.f64 (fma.f64 a (fma.f64 b #s(literal -1/8 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/8 binary64)))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (fma.f64 a (fma.f64 b #s(literal -1/8 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 b #s(literal -1/8 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 b #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 a (fma.f64 b #s(literal -1/8 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/8 binary64)))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))
#s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 a (fma.f64 b #s(literal -1/8 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/8 binary64)))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+.f64 (exp.f64 b) #s(literal 1 binary64))
(exp.f64 (neg.f64 (*.f64 (log1p.f64 (exp.f64 b)) #s(literal -1 binary64))))
(-.f64 (/.f64 (exp.f64 (+.f64 b b)) (expm1.f64 b)) (/.f64 #s(literal 1 binary64) (expm1.f64 b)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 (exp.f64 (+.f64 b b)) (-.f64 #s(literal 1 binary64) (exp.f64 b))))
(fma.f64 #s(literal 1 binary64) (exp.f64 b) #s(literal 1 binary64))
(fma.f64 (exp.f64 b) #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (+.f64 b b)) (-.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (exp.f64 b) (expm1.f64 b) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 b) (expm1.f64 (+.f64 b b))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b)))))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 1 binary64))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 b b)) (-.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (fma.f64 (exp.f64 b) (expm1.f64 b) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 b b)) (-.f64 #s(literal 1 binary64) (exp.f64 b)))))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (*.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 b) (expm1.f64 b) #s(literal 1 binary64))))
(/.f64 (expm1.f64 (+.f64 b b)) (expm1.f64 b))
(/.f64 (expm1.f64 (+.f64 b b)) (*.f64 #s(literal 1 binary64) (expm1.f64 b)))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b))) (-.f64 #s(literal 1 binary64) (exp.f64 b)))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (+.f64 b b)) (-.f64 #s(literal 1 binary64) (exp.f64 b)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (neg.f64 (fma.f64 (exp.f64 b) (expm1.f64 b) #s(literal 1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (+.f64 b b))) (neg.f64 (expm1.f64 b)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b)))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 (-.f64 (*.f64 (exp.f64 (+.f64 b b)) (expm1.f64 b)) (*.f64 (expm1.f64 b) #s(literal 1 binary64))) (*.f64 (expm1.f64 b) (expm1.f64 b)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 b))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)) (exp.f64 (+.f64 b b)))) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (exp.f64 (+.f64 b b)) (-.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (exp.f64 b) (expm1.f64 b) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (expm1.f64 b) (expm1.f64 (+.f64 b b))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b)))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 b b)) (-.f64 #s(literal 1 binary64) (exp.f64 b)))))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 b) (expm1.f64 b) #s(literal 1 binary64))))
(*.f64 (expm1.f64 (+.f64 b b)) (/.f64 #s(literal 1 binary64) (expm1.f64 b)))
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 b))))
(exp.f64 b)
(*.f64 #s(literal 1 binary64) (exp.f64 b))
(*.f64 (exp.f64 b) #s(literal 1 binary64))
#s(approx (exp b) #s(literal 1 binary64))

eval119.0ms (1.4%)

Memory
-29.2MiB live, 291.3MiB allocated
Compiler

Compiled 26 152 to 1 675 computations (93.6% saved)

prune86.0ms (1%)

Memory
23.7MiB live, 224.0MiB allocated
Pruning

15 alts after pruning (10 fresh and 5 done)

PrunedKeptTotal
New7237730
Fresh033
Picked145
Done011
Total72415739
Accuracy
100.0%
Counts
739 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
60.4%
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
35.9%
(/.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
35.9%
(/.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
36.0%
(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
82.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
52.7%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
47.1%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
33.3%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
27.9%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
33.1%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
36.2%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))
37.2%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (+.f64 (*.f64 a (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64))) (fma.f64 a (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))))
36.5%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
3.9%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 b #s(literal -1/4 binary64)))))
3.9%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64)))))
Compiler

Compiled 300 to 170 computations (43.3% saved)

simplify232.0ms (2.7%)

Memory
-16.9MiB live, 339.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64))
cost-diff0
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
cost-diff0
#s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
cost-diff0
(/.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
cost-diff0
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))
cost-diff0
(+.f64 a #s(literal 1 binary64))
cost-diff0
#s(approx (exp a) (+.f64 a #s(literal 1 binary64)))
cost-diff0
(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
cost-diff0
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
cost-diff0
#s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
cost-diff0
#s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (fma.f64 a #s(literal 1/4 binary64) #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))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
cost-diff0
(*.f64 a #s(literal 1/4 binary64))
cost-diff0
#s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64)))
cost-diff0
#s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64))))
cost-diff0
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64)))))
cost-diff0
(fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
cost-diff0
#s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
cost-diff0
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
Rules
9 126×lower-fma.f32
9 114×lower-fma.f64
2 608×lower-*.f32
2 606×lower-*.f64
1 930×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055428
072428
1136416
2275392
3726362
41411362
51834362
62279362
72707362
83282362
93862362
104533362
115999362
127540356
08028350
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
#s(literal 1 binary64)
#s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
b
(fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#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 (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64)))))
#s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64))))
#s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64)))
(*.f64 a #s(literal 1/4 binary64))
a
#s(literal 1/4 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
#s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
a
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (exp a) (+.f64 a #s(literal 1 binary64)))
(+.f64 a #s(literal 1 binary64))
a
#s(literal 1 binary64)
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))
#s(approx (exp a) #s(literal 1 binary64))
#s(approx (exp b) #s(literal 1 binary64))
(/.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
a
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))
#s(approx (exp a) #s(literal 1 binary64))
#s(approx (exp b) #s(literal 1 binary64))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
#s(literal 1 binary64)
#s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
b
(fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#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 (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64)))))
#s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64))))
#s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64)))
(*.f64 a #s(literal 1/4 binary64))
a
#s(literal 1/4 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
#s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
a
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (exp a) (+.f64 a #s(literal 1 binary64)))
(+.f64 a #s(literal 1 binary64))
a
#s(literal 1 binary64)
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))
#s(approx (exp a) #s(literal 1 binary64))
#s(approx (exp b) #s(literal 1 binary64))
(/.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
a
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))
#s(approx (exp a) #s(literal 1 binary64))
#s(approx (exp b) #s(literal 1 binary64))

localize151.0ms (1.8%)

Memory
13.0MiB live, 334.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.25390487397081396
(/.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
accuracy16.129016047333867
#s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
accuracy16.85561284495911
#s(approx (exp a) #s(literal 1 binary64))
accuracy32.34064259268575
#s(approx (exp b) #s(literal 1 binary64))
accuracy0.25390487397081396
(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
accuracy16.27694038978758
#s(approx (exp a) (+.f64 a #s(literal 1 binary64)))
accuracy16.85561284495911
#s(approx (exp a) #s(literal 1 binary64))
accuracy32.34064259268575
#s(approx (exp b) #s(literal 1 binary64))
accuracy0
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
accuracy16.22192256517126
#s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
accuracy26.941490574804664
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
accuracy29.457819624579482
#s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
accuracy0
(*.f64 a #s(literal 1/4 binary64))
accuracy16.22192256517126
#s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64))))
accuracy26.941490574804664
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64)))))
accuracy48.851443916589545
#s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64)))
accuracy0.078125
(fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
accuracy0.1640625
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))
accuracy11.008211853628106
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
accuracy19.78582223287739
#s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
Samples
91.0ms238×0valid
10.0ms18×1valid
Compiler

Compiled 211 to 47 computations (77.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 79.0ms
ival-add: 34.0ms (43.2% of total)
ival-mult: 25.0ms (31.8% of total)
ival-div: 7.0ms (8.9% of total)
ival-exp: 4.0ms (5.1% of total)
const: 4.0ms (5.1% of total)
adjust: 2.0ms (2.5% of total)
ival-sub: 1.0ms (1.3% of total)
exact: 1.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series20.0ms (0.2%)

Memory
6.4MiB live, 49.6MiB allocated
Counts
24 → 408
Calls
Call 1
Inputs
#<alt #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))>
#<alt #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))>
#<alt (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))>
#<alt #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64)))))>
#<alt #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64))))>
#<alt #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64)))>
#<alt (*.f64 a #s(literal 1/4 binary64))>
#<alt #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))>
#<alt #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))))>
#<alt #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))>
#<alt (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))>
#<alt (/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))>
#<alt #s(approx (exp a) (+.f64 a #s(literal 1 binary64)))>
#<alt (+.f64 a #s(literal 1 binary64))>
#<alt (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))>
#<alt (/.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))>
#<alt #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))>
#<alt (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))>
#<alt (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64))>
#<alt (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))>
#<alt (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))>
#<alt #s(approx (exp b) #s(literal 1 binary64))>
#<alt #s(approx (exp a) #s(literal 1 binary64))>
Outputs
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))>
#<alt (+ (* 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))))>
#<alt (+ (* 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))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 b))>
#<alt (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))>
#<alt (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))>
#<alt 2>
#<alt (+ 2 b)>
#<alt (+ 2 (* b (+ 1 (* 1/2 b))))>
#<alt (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))>
#<alt 2>
#<alt (+ 2 b)>
#<alt (+ 2 (* b (+ 1 (* 1/2 b))))>
#<alt (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))>
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))>
#<alt (+ (* 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))))>
#<alt (+ (* 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))))>
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))>
#<alt (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))>
#<alt (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))>
#<alt (+ 1/2 (* 1/4 a))>
#<alt (+ 1/2 (+ (* -1/4 b) (* 1/4 a)))>
#<alt (+ 1/2 (+ (* -1/4 b) (* 1/4 a)))>
#<alt (+ 1/2 (+ (* -1/4 b) (* 1/4 a)))>
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#<alt (/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))>
#<alt (/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))>
#<alt (/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))>
#<alt (* a (+ 1/4 (+ (* -1/8 b) (* 1/8 b))))>
#<alt (* a (+ 1/4 (+ (* -1/4 (/ b a)) (+ (* -1/8 b) (+ (* 1/8 b) (* 1/2 (/ 1 a)))))))>
#<alt (* a (+ 1/4 (+ (* -1/4 (/ b a)) (+ (* -1/8 b) (+ (* 1/8 b) (* 1/2 (/ 1 a)))))))>
#<alt (* a (+ 1/4 (+ (* -1/4 (/ b a)) (+ (* -1/8 b) (+ (* 1/8 b) (* 1/2 (/ 1 a)))))))>
#<alt (* 1/4 a)>
#<alt (* 1/4 a)>
#<alt (* 1/4 a)>
#<alt (* 1/4 a)>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))>
#<alt (/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))>
#<alt (/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))>
#<alt (/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))>
#<alt (* a (+ 1/4 (+ (* -1/8 b) (* 1/8 b))))>
#<alt (* a (+ 1/4 (+ (* -1/4 (/ b a)) (+ (* -1/8 b) (+ (* 1/8 b) (* 1/2 (/ 1 a)))))))>
#<alt (* a (+ 1/4 (+ (* -1/4 (/ b a)) (+ (* -1/8 b) (+ (* 1/8 b) (* 1/2 (/ 1 a)))))))>
#<alt (* a (+ 1/4 (+ (* -1/4 (/ b a)) (+ (* -1/8 b) (+ (* 1/8 b) (* 1/2 (/ 1 a)))))))>
#<alt (* 1/4 a)>
#<alt (* a (+ 1/4 (* 1/2 (/ 1 a))))>
#<alt (* a (+ 1/4 (* 1/2 (/ 1 a))))>
#<alt (* a (+ 1/4 (* 1/2 (/ 1 a))))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt a>
#<alt (* a (+ 1 (/ 1 a)))>
#<alt (* a (+ 1 (/ 1 a)))>
#<alt (* a (+ 1 (/ 1 a)))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (* 1/2 (pow a 2))>
#<alt (* (pow a 2) (+ 1/2 (/ 1 a)))>
#<alt (* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))>
#<alt (* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))>
#<alt (* 1/2 a)>
#<alt (* a (+ 1/2 (/ 1 a)))>
#<alt (* a (+ 1/2 (/ 1 a)))>
#<alt (* a (+ 1/2 (/ 1 a)))>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))>
#<alt (/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))>
#<alt (/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))>
#<alt (/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))>
#<alt (* a (+ 1/4 (+ (* -1/8 b) (* 1/8 b))))>
#<alt (* -1 (* a (+ (* -1 (+ 1/4 (+ (* -1/8 b) (* 1/8 b)))) (* -1 (/ (+ 1/2 (* -1/4 b)) a)))))>
#<alt (* -1 (* a (+ (* -1 (+ 1/4 (+ (* -1/8 b) (* 1/8 b)))) (* -1 (/ (+ 1/2 (* -1/4 b)) a)))))>
#<alt (* -1 (* a (+ (* -1 (+ 1/4 (+ (* -1/8 b) (* 1/8 b)))) (* -1 (/ (+ 1/2 (* -1/4 b)) a)))))>
#<alt (* 1/4 a)>
#<alt (* 1/4 a)>
#<alt (* 1/4 a)>
#<alt (* 1/4 a)>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))>
#<alt (/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))>
#<alt (/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))>
#<alt (/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))>
#<alt (* a (+ 1/4 (+ (* -1/8 b) (* 1/8 b))))>
#<alt (* -1 (* a (+ (* -1 (+ 1/4 (+ (* -1/8 b) (* 1/8 b)))) (* -1 (/ (+ 1/2 (* -1/4 b)) a)))))>
#<alt (* -1 (* a (+ (* -1 (+ 1/4 (+ (* -1/8 b) (* 1/8 b)))) (* -1 (/ (+ 1/2 (* -1/4 b)) a)))))>
#<alt (* -1 (* a (+ (* -1 (+ 1/4 (+ (* -1/8 b) (* 1/8 b)))) (* -1 (/ (+ 1/2 (* -1/4 b)) a)))))>
#<alt (* 1/4 a)>
#<alt (* a (+ 1/4 (* 1/2 (/ 1 a))))>
#<alt (* a (+ 1/4 (* 1/2 (/ 1 a))))>
#<alt (* a (+ 1/4 (* 1/2 (/ 1 a))))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt a>
#<alt (* a (+ 1 (/ 1 a)))>
#<alt (* a (+ 1 (/ 1 a)))>
#<alt (* a (+ 1 (/ 1 a)))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (* 1/2 (pow a 2))>
#<alt (* (pow a 2) (+ 1/2 (/ 1 a)))>
#<alt (* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))>
#<alt (* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))>
#<alt (* 1/2 a)>
#<alt (* a (+ 1/2 (/ 1 a)))>
#<alt (* a (+ 1/2 (/ 1 a)))>
#<alt (* a (+ 1/2 (/ 1 a)))>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
Calls

6 calls:

TimeVariablePointExpression
4.0ms
b
@-inf
((/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ 1 (exp b))) (+ 1 (exp b)) (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (/ (exp a) (+ (exp a) (exp b))) (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (* a 1/4) (/ (exp a) (+ (exp a) (exp b))) (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (+ (* a 1/4) 1/2) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ a 1) (+ (exp a) (exp b)) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (* a (+ (* a 1/2) 1)) 1) (+ (* a 1/2) 1) (+ (* b 1/6) 1/2) (+ (* b (+ (* b 1/6) 1/2)) 1) (exp b) (exp a))
3.0ms
b
@inf
((/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ 1 (exp b))) (+ 1 (exp b)) (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (/ (exp a) (+ (exp a) (exp b))) (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (* a 1/4) (/ (exp a) (+ (exp a) (exp b))) (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (+ (* a 1/4) 1/2) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ a 1) (+ (exp a) (exp b)) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (* a (+ (* a 1/2) 1)) 1) (+ (* a 1/2) 1) (+ (* b 1/6) 1/2) (+ (* b (+ (* b 1/6) 1/2)) 1) (exp b) (exp a))
3.0ms
a
@inf
((/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ 1 (exp b))) (+ 1 (exp b)) (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (/ (exp a) (+ (exp a) (exp b))) (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (* a 1/4) (/ (exp a) (+ (exp a) (exp b))) (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (+ (* a 1/4) 1/2) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ a 1) (+ (exp a) (exp b)) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (* a (+ (* a 1/2) 1)) 1) (+ (* a 1/2) 1) (+ (* b 1/6) 1/2) (+ (* b (+ (* b 1/6) 1/2)) 1) (exp b) (exp a))
2.0ms
a
@-inf
((/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ 1 (exp b))) (+ 1 (exp b)) (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (/ (exp a) (+ (exp a) (exp b))) (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (* a 1/4) (/ (exp a) (+ (exp a) (exp b))) (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (+ (* a 1/4) 1/2) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ a 1) (+ (exp a) (exp b)) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (* a (+ (* a 1/2) 1)) 1) (+ (* a 1/2) 1) (+ (* b 1/6) 1/2) (+ (* b (+ (* b 1/6) 1/2)) 1) (exp b) (exp a))
1.0ms
b
@0
((/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ 1 (exp b))) (+ 1 (exp b)) (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (/ (exp a) (+ (exp a) (exp b))) (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (* a 1/4) (/ (exp a) (+ (exp a) (exp b))) (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (+ (* a 1/4) 1/2) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ a 1) (+ (exp a) (exp b)) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (* a (+ (* a 1/2) 1)) 1) (+ (* a 1/2) 1) (+ (* b 1/6) 1/2) (+ (* b (+ (* b 1/6) 1/2)) 1) (exp b) (exp a))

simplify233.0ms (2.7%)

Memory
12.2MiB live, 446.9MiB allocated
Algorithm
egg-herbie
Rules
11 040×lower-fma.f64
11 040×lower-fma.f32
4 430×lower-+.f64
4 430×lower-+.f32
4 030×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02895222
19064939
229984542
085584296
Stop Event
iter limit
node limit
Counts
408 → 406
Calls
Call 1
Inputs
(/ (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
(+ 1/2 (* -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 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* b (+ 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))))
(/ (exp a) (+ 1 (exp a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(+ 1/2 (* 1/4 a))
(+ 1/2 (+ (* -1/4 b) (* 1/4 a)))
(+ 1/2 (+ (* -1/4 b) (* 1/4 a)))
(+ 1/2 (+ (* -1/4 b) (* 1/4 a)))
(/ (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))))
(/ (exp a) (+ 1 (exp a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(+ 1/2 (* 1/4 a))
(+ 1/2 (+ (* -1/4 b) (* 1/4 a)))
(+ 1/2 (+ (* -1/4 b) (* 1/4 a)))
(+ 1/2 (+ (* -1/4 b) (* 1/4 a)))
(/ (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)))))))
(/ (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
(+ 1/2 (* 1/6 b))
(+ 1/2 (* 1/6 b))
(+ 1/2 (* 1/6 b))
1
(+ 1 (* 1/2 b))
(+ 1 (* b (+ 1/2 (* 1/6 b))))
(+ 1 (* b (+ 1/2 (* 1/6 b))))
1
(+ 1 b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp 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)))))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (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 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a))))))
(* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a))))))
(* -1/4 b)
(* b (- (+ (* 1/4 (/ a b)) (* 1/2 (/ 1 b))) 1/4))
(* b (- (+ (* 1/4 (/ a b)) (* 1/2 (/ 1 b))) 1/4))
(* b (- (+ (* 1/4 (/ a b)) (* 1/2 (/ 1 b))) 1/4))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (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 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a))))))
(* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a))))))
(* -1/4 b)
(* b (- (+ (* 1/4 (/ a b)) (* 1/2 (/ 1 b))) 1/4))
(* b (- (+ (* 1/4 (/ a b)) (* 1/2 (/ 1 b))) 1/4))
(* b (- (+ (* 1/4 (/ a b)) (* 1/2 (/ 1 b))) 1/4))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(* 1/6 b)
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(* b (+ 1/6 (* 1/2 (/ 1 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)))))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(exp b)
(exp b)
(exp b)
(exp b)
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(* 1/6 (pow b 3))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(* -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)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2)))
(* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))))
(* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))))
(* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))))
(* -1/4 b)
(* -1 (* b (+ 1/4 (* -1 (/ (+ 1/2 (* 1/4 a)) b)))))
(* -1 (* b (+ 1/4 (* -1 (/ (+ 1/2 (* 1/4 a)) b)))))
(* -1 (* b (+ 1/4 (* -1 (/ (+ 1/2 (* 1/4 a)) b)))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2)))
(* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))))
(* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))))
(* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))))
(* -1/4 b)
(* -1 (* b (+ 1/4 (* -1 (/ (+ 1/2 (* 1/4 a)) b)))))
(* -1 (* b (+ 1/4 (* -1 (/ (+ 1/2 (* 1/4 a)) b)))))
(* -1 (* b (+ 1/4 (* -1 (/ (+ 1/2 (* 1/4 a)) b)))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(* 1/6 b)
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(* b (+ 1/6 (* 1/2 (/ 1 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)))))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(exp b)
(exp b)
(exp b)
(exp b)
(/ 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 (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))))
(* 1/2 (+ 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))))))
(+ 1/2 (* -1/4 b))
(+ 1/2 (+ (* -1/4 b) (* a (+ 1/4 (+ (* -1/8 b) (* 1/8 b))))))
(+ 1/2 (+ (* -1/4 b) (* a (+ 1/4 (+ (* -1/8 b) (* 1/8 b))))))
(+ 1/2 (+ (* -1/4 b) (* a (+ 1/4 (+ (* -1/8 b) (* 1/8 b))))))
(* 1/4 a)
(* 1/4 a)
(* 1/4 a)
(* 1/4 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))))
(* 1/2 (+ 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))))))
(+ 1/2 (* -1/4 b))
(+ 1/2 (+ (* -1/4 b) (* a (+ 1/4 (+ (* -1/8 b) (* 1/8 b))))))
(+ 1/2 (+ (* -1/4 b) (* a (+ 1/4 (+ (* -1/8 b) (* 1/8 b))))))
(+ 1/2 (+ (* -1/4 b) (* a (+ 1/4 (+ (* -1/8 b) (* 1/8 b))))))
1/2
(+ 1/2 (* 1/4 a))
(+ 1/2 (* 1/4 a))
(+ 1/2 (* 1/4 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))))))
1
(+ 1 a)
(+ 1 a)
(+ 1 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)))))))
(/ 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
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* 1/2 a))))
1
(+ 1 (* 1/2 a))
(+ 1 (* 1/2 a))
(+ 1 (* 1/2 a))
1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(* a (+ 1/4 (+ (* -1/8 b) (* 1/8 b))))
(* a (+ 1/4 (+ (* -1/4 (/ b a)) (+ (* -1/8 b) (+ (* 1/8 b) (* 1/2 (/ 1 a)))))))
(* a (+ 1/4 (+ (* -1/4 (/ b a)) (+ (* -1/8 b) (+ (* 1/8 b) (* 1/2 (/ 1 a)))))))
(* a (+ 1/4 (+ (* -1/4 (/ b a)) (+ (* -1/8 b) (+ (* 1/8 b) (* 1/2 (/ 1 a)))))))
(* 1/4 a)
(* 1/4 a)
(* 1/4 a)
(* 1/4 a)
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(* a (+ 1/4 (+ (* -1/8 b) (* 1/8 b))))
(* a (+ 1/4 (+ (* -1/4 (/ b a)) (+ (* -1/8 b) (+ (* 1/8 b) (* 1/2 (/ 1 a)))))))
(* a (+ 1/4 (+ (* -1/4 (/ b a)) (+ (* -1/8 b) (+ (* 1/8 b) (* 1/2 (/ 1 a)))))))
(* a (+ 1/4 (+ (* -1/4 (/ b a)) (+ (* -1/8 b) (+ (* 1/8 b) (* 1/2 (/ 1 a)))))))
(* 1/4 a)
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(exp a)
(exp a)
(exp a)
(exp a)
a
(* a (+ 1 (/ 1 a)))
(* a (+ 1 (/ 1 a)))
(* a (+ 1 (/ 1 a)))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(exp a)
(exp a)
(exp a)
(exp a)
(* 1/2 (pow a 2))
(* (pow a 2) (+ 1/2 (/ 1 a)))
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))
(* 1/2 a)
(* a (+ 1/2 (/ 1 a)))
(* a (+ 1/2 (/ 1 a)))
(* a (+ 1/2 (/ 1 a)))
(exp a)
(exp a)
(exp a)
(exp a)
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(* a (+ 1/4 (+ (* -1/8 b) (* 1/8 b))))
(* -1 (* a (+ (* -1 (+ 1/4 (+ (* -1/8 b) (* 1/8 b)))) (* -1 (/ (+ 1/2 (* -1/4 b)) a)))))
(* -1 (* a (+ (* -1 (+ 1/4 (+ (* -1/8 b) (* 1/8 b)))) (* -1 (/ (+ 1/2 (* -1/4 b)) a)))))
(* -1 (* a (+ (* -1 (+ 1/4 (+ (* -1/8 b) (* 1/8 b)))) (* -1 (/ (+ 1/2 (* -1/4 b)) a)))))
(* 1/4 a)
(* 1/4 a)
(* 1/4 a)
(* 1/4 a)
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(* a (+ 1/4 (+ (* -1/8 b) (* 1/8 b))))
(* -1 (* a (+ (* -1 (+ 1/4 (+ (* -1/8 b) (* 1/8 b)))) (* -1 (/ (+ 1/2 (* -1/4 b)) a)))))
(* -1 (* a (+ (* -1 (+ 1/4 (+ (* -1/8 b) (* 1/8 b)))) (* -1 (/ (+ 1/2 (* -1/4 b)) a)))))
(* -1 (* a (+ (* -1 (+ 1/4 (+ (* -1/8 b) (* 1/8 b)))) (* -1 (/ (+ 1/2 (* -1/4 b)) a)))))
(* 1/4 a)
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(exp a)
(exp a)
(exp a)
(exp a)
a
(* a (+ 1 (/ 1 a)))
(* a (+ 1 (/ 1 a)))
(* a (+ 1 (/ 1 a)))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(exp a)
(exp a)
(exp a)
(exp a)
(* 1/2 (pow a 2))
(* (pow a 2) (+ 1/2 (/ 1 a)))
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))
(* 1/2 a)
(* a (+ 1/2 (/ 1 a)))
(* a (+ 1/2 (/ 1 a)))
(* a (+ 1/2 (/ 1 a)))
(exp a)
(exp a)
(exp a)
(exp a)
Outputs
(/ (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))))
(fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (neg.f64 b) (/.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 b (neg.f64 (fma.f64 b (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1/2 binary64))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))))) (/.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 b (fma.f64 b (neg.f64 (fma.f64 b (-.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1/6 binary64))) (/.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1/2 binary64))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1/2 binary64))))) (neg.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 b))
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
(fma.f64 b (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64))) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
2
#s(literal 2 binary64)
(+ 2 b)
(+.f64 b #s(literal 2 binary64))
(+ 2 (* b (+ 1 (* 1/2 b))))
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(/.f64 (*.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(/.f64 (*.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(/.f64 (*.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(/.f64 (*.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(* a (+ 1/4 (+ (* -1/8 b) (* 1/8 b))))
(*.f64 a #s(literal 1/4 binary64))
(* a (+ 1/4 (+ (* -1/4 (/ b a)) (+ (* -1/8 b) (+ (* 1/8 b) (* 1/2 (/ 1 a)))))))
(fma.f64 a (fma.f64 b (/.f64 #s(literal -1/4 binary64) a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(* a (+ 1/4 (+ (* -1/4 (/ b a)) (+ (* -1/8 b) (+ (* 1/8 b) (* 1/2 (/ 1 a)))))))
(fma.f64 a (fma.f64 b (/.f64 #s(literal -1/4 binary64) a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(* a (+ 1/4 (+ (* -1/4 (/ b a)) (+ (* -1/8 b) (+ (* 1/8 b) (* 1/2 (/ 1 a)))))))
(fma.f64 a (fma.f64 b (/.f64 #s(literal -1/4 binary64) a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(* 1/4 a)
(*.f64 a #s(literal 1/4 binary64))
(* 1/4 a)
(*.f64 a #s(literal 1/4 binary64))
(* 1/4 a)
(*.f64 a #s(literal 1/4 binary64))
(* 1/4 a)
(*.f64 a #s(literal 1/4 binary64))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(/.f64 (*.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(/.f64 (*.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(/.f64 (*.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(/.f64 (*.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(* a (+ 1/4 (+ (* -1/8 b) (* 1/8 b))))
(*.f64 a #s(literal 1/4 binary64))
(* a (+ 1/4 (+ (* -1/4 (/ b a)) (+ (* -1/8 b) (+ (* 1/8 b) (* 1/2 (/ 1 a)))))))
(fma.f64 a (fma.f64 b (/.f64 #s(literal -1/4 binary64) a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(* a (+ 1/4 (+ (* -1/4 (/ b a)) (+ (* -1/8 b) (+ (* 1/8 b) (* 1/2 (/ 1 a)))))))
(fma.f64 a (fma.f64 b (/.f64 #s(literal -1/4 binary64) a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(* a (+ 1/4 (+ (* -1/4 (/ b a)) (+ (* -1/8 b) (+ (* 1/8 b) (* 1/2 (/ 1 a)))))))
(fma.f64 a (fma.f64 b (/.f64 #s(literal -1/4 binary64) a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(* 1/4 a)
(*.f64 a #s(literal 1/4 binary64))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (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.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
a
(* a (+ 1 (/ 1 a)))
(+.f64 a #s(literal 1 binary64))
(* a (+ 1 (/ 1 a)))
(+.f64 a #s(literal 1 binary64))
(* a (+ 1 (/ 1 a)))
(+.f64 a #s(literal 1 binary64))
(+ (exp a) (exp b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+ (exp a) (exp b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+ (exp a) (exp b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+ (exp a) (exp b))
(+.f64 (exp.f64 a) (exp.f64 b))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (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.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(* 1/2 (pow a 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 a a))
(* (pow a 2) (+ 1/2 (/ 1 a)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 a a) a)
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* a (+ 1/2 (/ 1 a)))
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64))
(* a (+ 1/2 (/ 1 a)))
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64))
(* a (+ 1/2 (/ 1 a)))
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64))
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(/.f64 (*.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(/.f64 (*.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(/.f64 (*.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(/.f64 (*.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(* a (+ 1/4 (+ (* -1/8 b) (* 1/8 b))))
(*.f64 a #s(literal 1/4 binary64))
(* -1 (* a (+ (* -1 (+ 1/4 (+ (* -1/8 b) (* 1/8 b)))) (* -1 (/ (+ 1/2 (* -1/4 b)) a)))))
(-.f64 (*.f64 a #s(literal 1/4 binary64)) (*.f64 (neg.f64 (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(* -1 (* a (+ (* -1 (+ 1/4 (+ (* -1/8 b) (* 1/8 b)))) (* -1 (/ (+ 1/2 (* -1/4 b)) a)))))
(-.f64 (*.f64 a #s(literal 1/4 binary64)) (*.f64 (neg.f64 (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(* -1 (* a (+ (* -1 (+ 1/4 (+ (* -1/8 b) (* 1/8 b)))) (* -1 (/ (+ 1/2 (* -1/4 b)) a)))))
(-.f64 (*.f64 a #s(literal 1/4 binary64)) (*.f64 (neg.f64 (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(* 1/4 a)
(*.f64 a #s(literal 1/4 binary64))
(* 1/4 a)
(*.f64 a #s(literal 1/4 binary64))
(* 1/4 a)
(*.f64 a #s(literal 1/4 binary64))
(* 1/4 a)
(*.f64 a #s(literal 1/4 binary64))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(/.f64 (*.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(/.f64 (*.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(/.f64 (*.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(/.f64 (*.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(* a (+ 1/4 (+ (* -1/8 b) (* 1/8 b))))
(*.f64 a #s(literal 1/4 binary64))
(* -1 (* a (+ (* -1 (+ 1/4 (+ (* -1/8 b) (* 1/8 b)))) (* -1 (/ (+ 1/2 (* -1/4 b)) a)))))
(-.f64 (*.f64 a #s(literal 1/4 binary64)) (*.f64 (neg.f64 (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(* -1 (* a (+ (* -1 (+ 1/4 (+ (* -1/8 b) (* 1/8 b)))) (* -1 (/ (+ 1/2 (* -1/4 b)) a)))))
(-.f64 (*.f64 a #s(literal 1/4 binary64)) (*.f64 (neg.f64 (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(* -1 (* a (+ (* -1 (+ 1/4 (+ (* -1/8 b) (* 1/8 b)))) (* -1 (/ (+ 1/2 (* -1/4 b)) a)))))
(-.f64 (*.f64 a #s(literal 1/4 binary64)) (*.f64 (neg.f64 (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(* 1/4 a)
(*.f64 a #s(literal 1/4 binary64))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (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.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
a
(* a (+ 1 (/ 1 a)))
(+.f64 a #s(literal 1 binary64))
(* a (+ 1 (/ 1 a)))
(+.f64 a #s(literal 1 binary64))
(* a (+ 1 (/ 1 a)))
(+.f64 a #s(literal 1 binary64))
(+ (exp a) (exp b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+ (exp a) (exp b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+ (exp a) (exp b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+ (exp a) (exp b))
(+.f64 (exp.f64 a) (exp.f64 b))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (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.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(* 1/2 (pow a 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 a a))
(* (pow a 2) (+ 1/2 (/ 1 a)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 a a) a)
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* a (+ 1/2 (/ 1 a)))
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64))
(* a (+ 1/2 (/ 1 a)))
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64))
(* a (+ 1/2 (/ 1 a)))
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64))
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)

rewrite293.0ms (3.4%)

Memory
5.6MiB live, 560.3MiB allocated
Rules
6 144×lower-*.f32
6 142×lower-*.f64
4 564×lower-fma.f32
4 552×lower-fma.f64
3 422×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055396
072396
1370384
23258384
08916366
Stop Event
iter limit
node limit
iter limit
Counts
24 → 233
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
#s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #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 (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64)))))
#s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64))))
#s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64)))
(*.f64 a #s(literal 1/4 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
#s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (exp a) (+.f64 a #s(literal 1 binary64)))
(+.f64 a #s(literal 1 binary64))
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))
(/.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
#s(approx (exp b) #s(literal 1 binary64))
#s(approx (exp a) #s(literal 1 binary64))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(pow.f64 #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64))
(pow.f64 (neg.f64 (neg.f64 #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) #s(literal -1 binary64))
(pow.f64 (pow.f64 #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))))
(*.f64 (pow.f64 #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (pow.f64 #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 (neg.f64 #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64))
#s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(pow.f64 #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(*.f64 #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 2 binary64) (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b))
(+.f64 (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b) #s(literal 2 binary64))
(+.f64 (*.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (+.f64 b #s(literal 2 binary64)))
(+.f64 (+.f64 #s(literal 2 binary64) (*.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) b)
(-.f64 (/.f64 (*.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b))) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))))
(fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (+.f64 b #s(literal 2 binary64)))
(fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b) (+.f64 b #s(literal 2 binary64)))
(fma.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) b #s(literal 2 binary64))
(fma.f64 (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b (+.f64 b #s(literal 2 binary64)))
(fma.f64 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b) (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b) #s(literal 4 binary64)) (*.f64 b (*.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (fma.f64 (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b) (*.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b))) #s(literal 8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b)) #s(literal -4 binary64))))
(/.f64 (fma.f64 (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b) (*.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b))) #s(literal 8 binary64)) (-.f64 (fma.f64 (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b) (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b) #s(literal 4 binary64)) (*.f64 b (*.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b) (*.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b))) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b))) (*.f64 b (*.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)))
(/.f64 (neg.f64 (fma.f64 (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b) (*.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b))) #s(literal 8 binary64))) (neg.f64 (-.f64 (fma.f64 (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b) (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b) #s(literal 4 binary64)) (*.f64 b (*.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b)) #s(literal -4 binary64))) (neg.f64 (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b)))) (-.f64 #s(literal 2 binary64) (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b)))
(pow.f64 (/.f64 (-.f64 (fma.f64 (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b) (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b) #s(literal 4 binary64)) (*.f64 b (*.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (fma.f64 (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b) (*.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b))) #s(literal 8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b)) #s(literal -4 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b) (*.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b))) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b) (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b) #s(literal 4 binary64)) (*.f64 b (*.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))))
(*.f64 (fma.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #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 (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64)))))
#s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64))))
#s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64)))
(*.f64 a #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) a)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
#s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
(+.f64 (*.f64 a #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(-.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal 1/16 binary64)) (fma.f64 a #s(literal 1/4 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 a #s(literal 1/4 binary64) #s(literal -1/2 binary64))))
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 a a) #s(literal 1/16 binary64) #s(literal 1/4 binary64)) (*.f64 a #s(literal 1/8 binary64))) (fma.f64 (*.f64 a (*.f64 a a)) #s(literal 1/64 binary64) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a #s(literal 1/4 binary64) #s(literal -1/2 binary64)) (fma.f64 (*.f64 a a) #s(literal 1/16 binary64) #s(literal -1/4 binary64))))
(/.f64 (fma.f64 (*.f64 a (*.f64 a a)) #s(literal 1/64 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (*.f64 a a) #s(literal 1/16 binary64) #s(literal 1/4 binary64)) (*.f64 a #s(literal 1/8 binary64))))
(/.f64 (fma.f64 (*.f64 a (*.f64 a a)) #s(literal 1/64 binary64) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 a a) #s(literal 1/16 binary64)) (*.f64 a #s(literal 1/8 binary64)))))
(/.f64 (fma.f64 (*.f64 a a) #s(literal 1/16 binary64) #s(literal -1/4 binary64)) (fma.f64 a #s(literal 1/4 binary64) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 a (*.f64 a a)) #s(literal 1/64 binary64) #s(literal 1/8 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 a a) #s(literal 1/16 binary64) #s(literal 1/4 binary64)) (*.f64 a #s(literal 1/8 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 a a) #s(literal 1/16 binary64) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 a #s(literal 1/4 binary64) #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) #s(literal 1/16 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 a a) #s(literal 1/16 binary64) #s(literal 1/4 binary64)) (*.f64 a #s(literal 1/8 binary64))) (fma.f64 (*.f64 a (*.f64 a a)) #s(literal 1/64 binary64) #s(literal 1/8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 a #s(literal 1/4 binary64) #s(literal -1/2 binary64)) (fma.f64 (*.f64 a a) #s(literal 1/16 binary64) #s(literal -1/4 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 a (*.f64 a a)) #s(literal 1/64 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 a a) #s(literal 1/16 binary64) #s(literal 1/4 binary64)) (*.f64 a #s(literal 1/8 binary64)))))
(*.f64 (fma.f64 (*.f64 a a) #s(literal 1/16 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 1/4 binary64) #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) #s(approx (exp a) (+.f64 a #s(literal 1 binary64))))) #s(literal -1 binary64)))
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(*.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
#s(approx (exp b) #s(literal 1 binary64))
#s(approx (exp a) #s(literal 1 binary64))

eval83.0ms (1%)

Memory
1.1MiB live, 196.2MiB allocated
Compiler

Compiled 12 459 to 901 computations (92.8% saved)

prune102.0ms (1.2%)

Memory
-9.4MiB live, 149.0MiB allocated
Pruning

26 alts after pruning (17 fresh and 9 done)

PrunedKeptTotal
New69113704
Fresh145
Picked145
Done055
Total69326719
Accuracy
100.0%
Counts
719 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
60.4%
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
35.9%
(/.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
35.9%
(/.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
35.9%
(/.f64 #s(approx (exp a) (/.f64 (fma.f64 a a #s(literal -1 binary64)) (+.f64 a #s(literal -1 binary64)))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
51.1%
(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
48.1%
(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
33.0%
(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
36.0%
(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
12.2%
(/.f64 #s(approx (exp a) #s(approx (+ (* a (+ (* a 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a a)))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
82.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
52.7%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (/.f64 (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))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
47.1%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(approx (+ (* b 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
40.1%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (/.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))))
36.7%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))))))
33.3%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
22.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (fma.f64 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b)))))
34.9%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (+.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b (*.f64 b b)))))))))))
23.1%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))))
22.5%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (*.f64 b (*.f64 b #s(literal 1/6 binary64))))))))
27.9%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
33.1%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
36.2%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))
37.2%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (+.f64 (*.f64 a (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64))) (fma.f64 a (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))))
36.5%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
3.9%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 b #s(literal -1/4 binary64)))))
3.9%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64)))))
Compiler

Compiled 857 to 339 computations (60.4% saved)

regimes55.0ms (0.6%)

Memory
-22.6MiB live, 104.6MiB allocated
Counts
33 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp 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))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 b #s(literal -1/4 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #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 (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(approx (+ (* b 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) #s(approx (+ (* a (+ (* a 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a a)))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (*.f64 b (*.f64 b #s(literal 1/6 binary64))))))))
(/.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 a (+.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64))) (fma.f64 b #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 (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (fma.f64 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (+.f64 (*.f64 a (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64))) (fma.f64 a (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))))
(/.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (/.f64 (fma.f64 a a #s(literal -1 binary64)) (+.f64 a #s(literal -1 binary64)))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (/.f64 (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))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (+.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b (*.f64 b b)))))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (/.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(/.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)))))
(/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))
Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Calls

5 calls:

18.0ms
b
12.0ms
a
9.0ms
(exp.f64 a)
7.0ms
(exp.f64 b)
7.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Results
AccuracySegmentsBranch
99.6%1a
99.6%1b
99.6%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
99.6%1(exp.f64 a)
99.6%1(exp.f64 b)
Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes46.0ms (0.5%)

Memory
22.5MiB live, 96.3MiB allocated
Counts
30 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp 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))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 b #s(literal -1/4 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #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 (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(approx (+ (* b 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) #s(approx (+ (* a (+ (* a 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a a)))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (*.f64 b (*.f64 b #s(literal 1/6 binary64))))))))
(/.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 a (+.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64))) (fma.f64 b #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 (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (fma.f64 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (+.f64 (*.f64 a (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64))) (fma.f64 a (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))))
(/.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (/.f64 (fma.f64 a a #s(literal -1 binary64)) (+.f64 a #s(literal -1 binary64)))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (/.f64 (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))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (+.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b (*.f64 b b)))))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (/.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
Outputs
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
Calls

5 calls:

12.0ms
b
10.0ms
(exp.f64 a)
9.0ms
a
7.0ms
(exp.f64 b)
7.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Results
AccuracySegmentsBranch
99.4%2a
100.0%3b
82.8%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
99.4%2(exp.f64 a)
100.0%3(exp.f64 b)
Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes36.0ms (0.4%)

Memory
-5.3MiB live, 79.1MiB allocated
Counts
28 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp 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))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 b #s(literal -1/4 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #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 (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(approx (+ (* b 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) #s(approx (+ (* a (+ (* a 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a a)))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (*.f64 b (*.f64 b #s(literal 1/6 binary64))))))))
(/.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 a (+.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64))) (fma.f64 b #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 (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (fma.f64 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (+.f64 (*.f64 a (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64))) (fma.f64 a (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))))
(/.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (/.f64 (fma.f64 a a #s(literal -1 binary64)) (+.f64 a #s(literal -1 binary64)))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (/.f64 (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))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (+.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b (*.f64 b b)))))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (/.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
Outputs
(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
Calls

4 calls:

11.0ms
a
8.0ms
b
7.0ms
(exp.f64 a)
6.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
92.4%3b
92.4%3(exp.f64 b)
91.9%2a
89.7%2(exp.f64 a)
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes32.0ms (0.4%)

Memory
-5.1MiB live, 72.6MiB allocated
Counts
27 → 5
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp 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))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 b #s(literal -1/4 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #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 (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(approx (+ (* b 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) #s(approx (+ (* a (+ (* a 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a a)))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (*.f64 b (*.f64 b #s(literal 1/6 binary64))))))))
(/.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 a (+.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64))) (fma.f64 b #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 (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (fma.f64 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (+.f64 (*.f64 a (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64))) (fma.f64 a (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))))
(/.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (/.f64 (fma.f64 a a #s(literal -1 binary64)) (+.f64 a #s(literal -1 binary64)))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (/.f64 (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))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (+.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b (*.f64 b b)))))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (/.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) #s(approx (+ (* a (+ (* a 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a a)))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (*.f64 b (*.f64 b #s(literal 1/6 binary64))))))))
Calls

4 calls:

9.0ms
a
8.0ms
b
7.0ms
(exp.f64 a)
6.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
62.2%2(exp.f64 a)
90.9%5b
83.2%3(exp.f64 b)
65.4%3a
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes23.0ms (0.3%)

Memory
-1.5MiB live, 43.4MiB allocated
Counts
26 → 4
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp 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))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 b #s(literal -1/4 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #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 (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(approx (+ (* b 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) #s(approx (+ (* a (+ (* a 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a a)))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (*.f64 b (*.f64 b #s(literal 1/6 binary64))))))))
(/.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 a (+.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64))) (fma.f64 b #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 (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (fma.f64 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (+.f64 (*.f64 a (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64))) (fma.f64 a (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))))
(/.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (/.f64 (fma.f64 a a #s(literal -1 binary64)) (+.f64 a #s(literal -1 binary64)))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (/.f64 (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))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (+.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b (*.f64 b b)))))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (/.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))))))
Outputs
(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) #s(approx (+ (* a (+ (* a 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a a)))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (*.f64 b (*.f64 b #s(literal 1/6 binary64))))))))
Calls

3 calls:

10.0ms
b
6.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
6.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
65.7%2(exp.f64 b)
59.4%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
73.4%4b
Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes9.0ms (0.1%)

Memory
13.1MiB live, 13.1MiB allocated
Counts
25 → 4
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp 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))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 b #s(literal -1/4 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #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 (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(approx (+ (* b 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) #s(approx (+ (* a (+ (* a 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a a)))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (*.f64 b (*.f64 b #s(literal 1/6 binary64))))))))
(/.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 a (+.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64))) (fma.f64 b #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 (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (fma.f64 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (+.f64 (*.f64 a (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64))) (fma.f64 a (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))))
(/.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (/.f64 (fma.f64 a a #s(literal -1 binary64)) (+.f64 a #s(literal -1 binary64)))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (/.f64 (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))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (+.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b (*.f64 b b)))))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (/.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))))
Outputs
(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) #s(approx (+ (* a (+ (* a 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a a)))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (/.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
Calls

1 calls:

7.0ms
b
Results
AccuracySegmentsBranch
71.2%4b
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes10.0ms (0.1%)

Memory
-25.4MiB live, 14.1MiB allocated
Counts
24 → 3
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp 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))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 b #s(literal -1/4 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #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 (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(approx (+ (* b 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) #s(approx (+ (* a (+ (* a 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a a)))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (*.f64 b (*.f64 b #s(literal 1/6 binary64))))))))
(/.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 a (+.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64))) (fma.f64 b #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 (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (fma.f64 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (+.f64 (*.f64 a (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64))) (fma.f64 a (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))))
(/.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (/.f64 (fma.f64 a a #s(literal -1 binary64)) (+.f64 a #s(literal -1 binary64)))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (/.f64 (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))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (+.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b (*.f64 b b)))))))))))
Outputs
(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) #s(approx (+ (* a (+ (* a 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a a)))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))))
Calls

1 calls:

8.0ms
b
Results
AccuracySegmentsBranch
69.6%3b
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes13.0ms (0.2%)

Memory
31.2MiB live, 31.2MiB allocated
Counts
21 → 3
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp 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))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 b #s(literal -1/4 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #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 (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(approx (+ (* b 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) #s(approx (+ (* a (+ (* a 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a a)))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (*.f64 b (*.f64 b #s(literal 1/6 binary64))))))))
(/.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 a (+.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64))) (fma.f64 b #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 (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (fma.f64 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (+.f64 (*.f64 a (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64))) (fma.f64 a (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))))
(/.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (/.f64 (fma.f64 a a #s(literal -1 binary64)) (+.f64 a #s(literal -1 binary64)))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
Outputs
(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) #s(approx (+ (* a (+ (* a 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a a)))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))))
Calls

2 calls:

6.0ms
b
5.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
63.8%2(exp.f64 b)
67.3%3b
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes47.0ms (0.5%)

Memory
-29.0MiB live, 48.3MiB allocated
Counts
17 → 3
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp 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))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 b #s(literal -1/4 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #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 (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(approx (+ (* b 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) #s(approx (+ (* a (+ (* a 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a a)))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (*.f64 b (*.f64 b #s(literal 1/6 binary64))))))))
(/.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 a (+.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64))) (fma.f64 b #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 (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (fma.f64 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
(/.f64 #s(approx (exp a) #s(approx (+ (* a (+ (* a 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a a)))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))))
Calls

5 calls:

26.0ms
b
5.0ms
a
5.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms
(exp.f64 b)
4.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
56.3%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
52.7%1(exp.f64 a)
56.5%2(exp.f64 b)
52.7%1a
59.2%3b
Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory
14.8MiB live, 14.8MiB allocated
Counts
14 → 3
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp 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))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 b #s(literal -1/4 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #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 (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(approx (+ (* b 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) #s(approx (+ (* a (+ (* a 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a a)))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (*.f64 b (*.f64 b #s(literal 1/6 binary64))))))))
(/.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 a (+.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/4 binary64))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
(/.f64 #s(approx (exp a) #s(approx (+ (* a (+ (* a 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a a)))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (*.f64 b (*.f64 b #s(literal 1/6 binary64))))))))
Calls

1 calls:

5.0ms
b
Results
AccuracySegmentsBranch
59.2%3b
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes21.0ms (0.2%)

Memory
7.1MiB live, 47.6MiB allocated
Counts
11 → 3
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp 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))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 b #s(literal -1/4 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #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 (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(approx (+ (* b 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) #s(approx (+ (* a (+ (* a 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a a)))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
(/.f64 #s(approx (exp a) #s(approx (+ (* a (+ (* a 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a a)))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
Calls

5 calls:

6.0ms
(exp.f64 b)
4.0ms
a
4.0ms
b
3.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
3.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
47.1%1a
47.1%1(exp.f64 a)
50.5%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
50.7%2(exp.f64 b)
55.1%3b
Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes4.0ms (0.1%)

Memory
9.5MiB live, 9.5MiB allocated
Counts
10 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp 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))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 b #s(literal -1/4 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #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 (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(approx (+ (* b 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (fma.f64 a #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 (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
Calls

1 calls:

4.0ms
b
Results
AccuracySegmentsBranch
50.7%2b
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes15.0ms (0.2%)

Memory
-8.7MiB live, 30.2MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp 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))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 b #s(literal -1/4 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #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 (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
Calls

5 calls:

4.0ms
b
3.0ms
a
3.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
2.0ms
(exp.f64 b)
2.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
36.5%1(exp.f64 a)
36.5%1a
36.5%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
36.5%1(exp.f64 b)
36.5%1b
Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes11.0ms (0.1%)

Memory
-12.2MiB live, 25.3MiB allocated
Accuracy

Total -21.4b remaining (-52.5%)

Threshold costs -21.4b (-52.5%)

Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp 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))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 a #s(literal 1/4 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (*.f64 b #s(literal -1/4 binary64)))))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))
Calls

5 calls:

4.0ms
a
2.0ms
b
1.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms
(exp.f64 b)
1.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
36.2%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
36.2%1(exp.f64 a)
36.2%1a
36.2%1b
36.2%1(exp.f64 b)
Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
0.9999999999987094
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
-5.280555014453027e+79
-5.2172150647717896e+79
Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch66.0ms (0.8%)

Memory
2.7MiB live, 126.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
2.455800338932685e+97
3.733905408001635e+111
13.0ms
6.70584394456372e+42
2.413155369622159e+61
14.0ms
1.5918821156502567e+30
1.9404745927937753e+31
19.0ms
-7433188.79598309
-2.628218313066221e-19
Samples
33.0ms592×0valid
Compiler

Compiled 1 641 to 855 computations (47.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-exp: 11.0ms (61.7% of total)
ival-div: 4.0ms (22.4% of total)
ival-add: 3.0ms (16.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory
9.3MiB live, 9.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
2.455800338932685e+97
3.733905408001635e+111
1.0ms
6.70584394456372e+42
2.413155369622159e+61
1.0ms
1.5918821156502567e+30
1.9404745927937753e+31
Compiler

Compiled 1 311 to 657 computations (49.9% saved)

bsearch22.0ms (0.3%)

Memory
-24.4MiB live, 50.8MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
narrow-enough
narrow-enough
Steps
TimeLeftRight
5.0ms
2.3067777322296787e+153
2.0344337794248738e+158
12.0ms
1.976983045207955e+76
2.4338547774694705e+79
1.0ms
1.5918821156502567e+30
1.9404745927937753e+31
Samples
9.0ms192×0valid
Compiler

Compiled 809 to 437 computations (46% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-exp: 3.0ms (61.1% of total)
ival-div: 1.0ms (20.4% of total)
ival-add: 1.0ms (20.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch13.0ms (0.1%)

Memory
27.2MiB live, 27.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
1.511854761655732e+91
4.4045836823895476e+95
1.0ms
1.5918821156502567e+30
1.9404745927937753e+31
Samples
6.0ms128×0valid
Compiler

Compiled 497 to 289 computations (41.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-exp: 2.0ms (64.6% of total)
ival-div: 1.0ms (32.3% of total)
ival-add: 1.0ms (32.3% 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
narrow-enough
Steps
TimeLeftRight
1.0ms
1.511854761655732e+91
4.4045836823895476e+95
1.0ms
1.5918821156502567e+30
1.9404745927937753e+31
Compiler

Compiled 479 to 277 computations (42.2% saved)

bsearch17.0ms (0.2%)

Memory
-13.6MiB live, 34.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.511854761655732e+91
4.4045836823895476e+95
15.0ms
1939873606998791.0
4.68728542815624e+21
Samples
9.0ms144×0valid
Compiler

Compiled 503 to 298 computations (40.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-exp: 5.0ms (75.3% of total)
ival-div: 1.0ms (15.1% of total)
ival-add: 1.0ms (15.1% 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
narrow-enough
Steps
TimeLeftRight
1.0ms
1.511854761655732e+91
4.4045836823895476e+95
1.0ms
1939873606998791.0
4.68728542815624e+21
Compiler

Compiled 495 to 290 computations (41.4% saved)

bsearch10.0ms (0.1%)

Memory
-20.7MiB live, 17.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
8.0ms
2.3067777322296787e+153
2.0344337794248738e+158
1.0ms
1939873606998791.0
4.68728542815624e+21
Samples
4.0ms80×0valid
Compiler

Compiled 517 to 308 computations (40.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-exp: 1.0ms (50.1% of total)
ival-div: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch14.0ms (0.2%)

Memory
-2.2MiB live, 36.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
13.0ms
-1.8536418840105825e-186
-1.3745219117111502e-191
Samples
6.0ms144×0valid
Compiler

Compiled 229 to 146 computations (36.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-exp: 2.0ms (57% of total)
ival-div: 1.0ms (28.5% of total)
ival-add: 1.0ms (28.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify16.0ms (0.2%)

Memory
3.6MiB live, 41.8MiB allocated
Algorithm
egg-herbie
Rules
14×*-commutative_binary64
12×+-commutative_binary64
1-exp_binary64
1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01581223
11731223
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 0 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(if (<=.f64 a #s(literal -52500000000000000343071090436134028613130097131600525773066461289798096100786176 binary64)) (/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 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 -29/2 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (exp.f64 b) #s(literal 1 binary64))) (if (<=.f64 b #s(literal 1599999999999999862930413715456 binary64)) (/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 4399999999999999837249374588699575806050811116519424 binary64)) (/.f64 #s(approx (exp a) #s(approx (+ (* a (+ (* a 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a a)))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 10199999999999999144250989793269130915929985559700279936955770445581686411664085978843893938044698361856 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (*.f64 b (*.f64 b #s(literal 1/6 binary64))))))))))))
(if (<=.f64 b #s(literal 1599999999999999862930413715456 binary64)) (/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 4399999999999999837249374588699575806050811116519424 binary64)) (/.f64 #s(approx (exp a) #s(approx (+ (* a (+ (* a 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a a)))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 10199999999999999144250989793269130915929985559700279936955770445581686411664085978843893938044698361856 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (*.f64 b (*.f64 b #s(literal 1/6 binary64)))))))))))
(if (<=.f64 b #s(literal 1599999999999999862930413715456 binary64)) (/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 290000000000000016861315092330566731939152625510457497208488564077634907013120 binary64)) (/.f64 #s(approx (exp a) #s(approx (+ (* a (+ (* a 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a a)))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 10000000000000000369475456880582265409809179829842688451922778552150543659347219597216513109705408327446511753687232667314337003349573404171046192448274432 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (/.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))))))
(if (<=.f64 b #s(literal 1599999999999999862930413715456 binary64)) (/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 439999999999999979253531971195670646539310219990212995663505742327537368098050790092065856290816 binary64)) (/.f64 #s(approx (exp a) #s(approx (+ (* a (+ (* a 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a a)))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))))))
(if (<=.f64 b #s(literal 1599999999999999862930413715456 binary64)) (/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 439999999999999979253531971195670646539310219990212995663505742327537368098050790092065856290816 binary64)) (/.f64 #s(approx (exp a) #s(approx (+ (* a (+ (* a 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a a)))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))))))
(if (<=.f64 b #s(literal 1950000000000000 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))))) (if (<=.f64 b #s(literal 439999999999999979253531971195670646539310219990212995663505742327537368098050790092065856290816 binary64)) (/.f64 #s(approx (exp a) #s(approx (+ (* a (+ (* a 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a a)))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))))))
(if (<=.f64 b #s(literal 1950000000000000 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))))) (if (<=.f64 b #s(literal 439999999999999979253531971195670646539310219990212995663505742327537368098050790092065856290816 binary64)) (/.f64 #s(approx (exp a) #s(approx (+ (* a (+ (* a 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a a)))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (*.f64 b (*.f64 b #s(literal 1/6 binary64))))))))))
(if (<=.f64 b #s(literal 1950000000000000 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))))) (if (<=.f64 b #s(literal 18999999999999999064581089979963101249120767266604493066770021892695906750618596520567186646577434152905173284039181572611431631767743819258237216708624384 binary64)) (/.f64 #s(approx (exp a) #s(approx (+ (* a (+ (* a 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a a)))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))))
(if (<=.f64 b #s(literal -5217114770517643/20065826040452474621738395244141115820123061381619162977212070095324448220432589806036630768881181530864650607514107580997541169167266097500334986765487216377087492641938951866881041556870737904629872328704 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (fma.f64 a #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 (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #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 (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))
Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.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) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))))
(if (<=.f64 a #s(literal -52500000000000000343071090436134028613130097131600525773066461289798096100786176 binary64)) (/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(if (<=.f64 a #s(literal -52500000000000000343071090436134028613130097131600525773066461289798096100786176 binary64)) (/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #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)))))
(if (<=.f64 b #s(literal -29/2 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (exp.f64 b) #s(literal 1 binary64))) (if (<=.f64 b #s(literal 1599999999999999862930413715456 binary64)) (/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 4399999999999999837249374588699575806050811116519424 binary64)) (/.f64 #s(approx (exp a) #s(approx (+ (* a (+ (* a 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a a)))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 10199999999999999144250989793269130915929985559700279936955770445581686411664085978843893938044698361856 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (*.f64 b (*.f64 b #s(literal 1/6 binary64))))))))))))
(if (<=.f64 b #s(literal -29/2 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (exp.f64 b) #s(literal 1 binary64))) (if (<=.f64 b #s(literal 1599999999999999862930413715456 binary64)) (/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) (if (<=.f64 b #s(literal 4399999999999999837249374588699575806050811116519424 binary64)) (/.f64 #s(approx (exp a) #s(approx (+ (* a (+ (* a 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a a)))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 10199999999999999144250989793269130915929985559700279936955770445581686411664085978843893938044698361856 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (*.f64 b (*.f64 b #s(literal 1/6 binary64))))))))))))
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(if (<=.f64 b #s(literal 1950000000000000 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))))) (if (<=.f64 b #s(literal 439999999999999979253531971195670646539310219990212995663505742327537368098050790092065856290816 binary64)) (/.f64 #s(approx (exp a) #s(approx (+ (* a (+ (* a 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a a)))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (*.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))))))
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(if (<=.f64 b #s(literal 1950000000000000 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))))) (if (<=.f64 b #s(literal 18999999999999999064581089979963101249120767266604493066770021892695906750618596520567186646577434152905173284039181572611431631767743819258237216708624384 binary64)) (/.f64 #s(approx (exp a) #s(approx (+ (* a (+ (* a 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a a)))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))))
(if (<=.f64 b #s(literal -5217114770517643/20065826040452474621738395244141115820123061381619162977212070095324448220432589806036630768881181530864650607514107580997541169167266097500334986765487216377087492641938951866881041556870737904629872328704 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (fma.f64 a #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 (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #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 (+ (* a (+ (+ (* b -1/8) 1/2) (+ (* b 1/8) -1/4))) (+ (* b -1/4) 1/2)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))

soundness1.5s (18%)

Memory
5.2MiB live, 1 398.6MiB allocated
Rules
18 438×lower-fma.f64
18 438×lower-fma.f32
14 312×lower-fma.f64
14 312×lower-fma.f32
11 040×lower-fma.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
036167
062169
1233166
21738160
08629160
02895222
19064939
229984542
085584296
02474022
17613837
225683614
082283471
055396
072396
1370384
23258384
08916366
05005829
115265532
248035349
083815075
0120740
1332725
2964708
33689677
08345640
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
iter limit
node limit
iter limit
Compiler

Compiled 1 425 to 652 computations (54.2% saved)

preprocess130.0ms (1.5%)

Memory
18.9MiB live, 176.5MiB allocated
Compiler

Compiled 1 220 to 220 computations (82% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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