Quotient of sum of exps

Time bar (total: 10.3s)

analyze5.0ms (0.1%)

Memory
14.3MiB live, 14.3MiB allocated
Algorithm
1×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)

sample1.0s (10%)

Memory
23.6MiB live, 1 724.6MiB allocated
Samples
474.0ms8 256×0valid
188.0ms2 972×0exit
Precisions
Click to see histograms. Total time spent on operations: 387.0ms
ival-exp: 219.0ms (56.5% of total)
ival-div: 106.0ms (27.4% of total)
ival-add: 51.0ms (13.2% of total)
ival-true: 8.0ms (2.1% of total)
ival-assert: 4.0ms (1% of total)
Bogosity

preprocess88.0ms (0.9%)

Memory
-2.6MiB live, 36.3MiB allocated
Algorithm
1×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
1×iter limit
1×saturated
1×iter limit
1×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)))

explain76.0ms (0.7%)

Memory
6.1MiB live, 136.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
40-0-(/.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/o30
↳(exp.f64 a)overflow3
↳(+.f64 (exp.f64 a) (exp.f64 b))overflow71
↳(exp.f64 a)overflow3
↳(exp.f64 b)overflow70
/.f64(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))u/u10
↳(exp.f64 a)underflow75
↳(+.f64 (exp.f64 a) (exp.f64 b))underflow1
↳(exp.f64 a)underflow75
↳(exp.f64 b)underflow52
Confusion
Predicted +Predicted -
+40
-0252
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+400
-00252
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0252
14
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
30.0ms512×0valid
Compiler

Compiled 62 to 28 computations (54.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-exp: 7.0ms (52.5% of total)
ival-div: 3.0ms (22.5% of total)
ival-add: 2.0ms (15% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval1.0ms (0%)

Memory
-38.1MiB live, 0.3MiB 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
▶98.4%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 10 to 6 computations (40% saved)

simplify4.0ms (0%)

Memory
4.8MiB live, 4.8MiB allocated
Algorithm
1×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
4×lift-exp.f64
4×lower-+.f32
4×lower-exp.f32
2×lift-+.f64
2×lift-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0619
01019
11119
01119
Stop Event
1×iter limit
1×saturated
1×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

localize20.0ms (0.2%)

Memory
26.7MiB live, 26.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(exp.f64 b)
✓accuracy100.0%
(exp.f64 a)
✓accuracy100.0%
(+.f64 (exp.f64 a) (exp.f64 b))
✓accuracy98.4%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Samples
13.0ms256×0valid
Compiler

Compiled 21 to 8 computations (61.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-exp: 4.0ms (61.7% of total)
ival-div: 2.0ms (30.9% of total)
ival-add: 1.0ms (15.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
-21.8MiB live, 17.0MiB 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 (/ 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) (+ (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 (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) (+ (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 1>
#<alt (+ 1 a)>
#<alt (+ 1 (* a (+ 1 (* 1/2 a))))>
#<alt (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp 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 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 b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<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) (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 b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp 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 b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
Calls

18 calls:

TimeVariablePointExpression
2.0ms
b
@0
(/ (exp a) (+ (exp a) (exp b)))
1.0ms
b
@inf
(/ (exp a) (+ (exp a) (exp b)))
1.0ms
a
@0
(/ (exp a) (+ (exp a) (exp b)))
1.0ms
a
@inf
(/ (exp a) (+ (exp a) (exp b)))
1.0ms
a
@-inf
(/ (exp a) (+ (exp a) (exp b)))

simplify423.0ms (4.1%)

Memory
7.9MiB live, 676.6MiB allocated
Algorithm
1×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
2963708
33702677
08342640
Stop Event
1×iter limit
1×node limit
Counts
72 → 72
Calls
Call 1
Inputs
(/ 1 (+ 1 (exp b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (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 (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) (+ (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)))
1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp 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 b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ 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) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
1
(+ 1 b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
Outputs
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 (+.f64 #s(literal 1 binary64) a) (/.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 (+.f64 (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (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 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (*.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))))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(fma.f64 b (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (fma.f64 b #s(literal -1/2 binary64) (/.f64 b (+.f64 #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) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(fma.f64 (-.f64 (*.f64 b (fma.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (fma.f64 b #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #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 #s(literal 1 binary64) (exp.f64 a)))))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
1
#s(literal 1 binary64)
(+ 1 a)
(+.f64 #s(literal 1 binary64) a)
(+ 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))
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (+ a (exp b)))
(+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) a))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ 1 (+ (exp b) (* 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)) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (+ b (exp a)))
(+.f64 #s(literal 1 binary64) (+.f64 b (exp.f64 a)))
(+ 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)))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
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 b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)

rewrite280.0ms (2.7%)

Memory
29.7MiB live, 415.9MiB allocated
Algorithm
1×batch-egg-rewrite
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
1×iter limit
1×node limit
1×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))))
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(*.f64 (pow.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b)))))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) (exp.f64 a))))
(*.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b)))) (+.f64 (exp.f64 (*.f64 a #s(literal 9 binary64))) (exp.f64 (*.f64 b #s(literal 9 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a #s(literal 6 binary64))) (-.f64 (exp.f64 (*.f64 b #s(literal 6 binary64))) (exp.f64 (*.f64 (+.f64 a b) #s(literal 3 binary64)))))))
(*.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b)))) (-.f64 (exp.f64 (*.f64 a #s(literal 6 binary64))) (exp.f64 (*.f64 b #s(literal 6 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))))
(*.f64 (pow.f64 (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (exp.f64 (*.f64 a #s(literal 6 binary64))) (exp.f64 (*.f64 b #s(literal 6 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a #s(literal 4 binary64))) (+.f64 (exp.f64 (*.f64 b #s(literal 4 binary64))) (exp.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)))))))
(*.f64 (pow.f64 (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (exp.f64 (*.f64 a #s(literal 4 binary64))) (exp.f64 (*.f64 b #s(literal 4 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))))
(exp.f64 b)
(exp.f64 (*.f64 b #s(literal 1 binary64)))
(pow.f64 (exp.f64 b) #s(literal 1 binary64))

eval303.0ms (2.9%)

Memory
-331.7MiB live, 81.3MiB allocated
Compiler

Compiled 11 132 to 1 164 computations (89.5% saved)

prune49.0ms (0.5%)

Memory
15.5MiB live, 97.0MiB allocated
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New4085413
Fresh000
Picked101
Done000
Total4095414
Accuracy
99.7%
Counts
414 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶71.5%
(/.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)))))
▶62.5%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
▶98.4%
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))))
▶78.5%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
▶60.5%
#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 #s(literal 1 binary64) (exp.f64 a)))))
Compiler

Compiled 152 to 98 computations (35.5% saved)

simplify313.0ms (3%)

Memory
8.1MiB live, 439.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))
✓cost-diff0
(exp.f64 a)
✓cost-diff448
(/.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
(+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64))
✓cost-diff0
#s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
✓cost-diff320
(*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
✓cost-diff6272
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
✓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-diff6080
(/.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
(exp.f64 a)
✓cost-diff0
(+.f64 (exp.f64 a) (exp.f64 b))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))))
✓cost-diff13056
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a)))
Rules
6 524×lower-fma.f32
6 522×lower-fma.f64
2 702×lower-*.f32
2 694×lower-*.f64
1 884×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041260
072260
1104257
2164252
3291251
4590251
51217247
62476247
74389247
86525247
97941247
08043245
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))))
#s(literal 1 binary64)
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a)))
(+.f64 (exp.f64 a) (exp.f64 b))
(exp.f64 a)
a
(exp.f64 b)
b
(exp.f64 (neg.f64 a))
(neg.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)))
#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)
#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 #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) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+.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 #s(literal 1 binary64) (exp.f64 a)))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(/.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
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
#s(literal 1 binary64)
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(+.f64 (exp.f64 a) (exp.f64 b))
(exp.f64 a)
a
(exp.f64 b)
b
(exp.f64 (neg.f64 a))
(neg.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)))
#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))))
(/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (neg.f64 a)) #s(approx (exp b) #s(literal 1 binary64)) #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)
#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 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
(*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
(+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))
b
(-.f64 #s(literal -1 binary64) (exp.f64 a))
#s(literal -1 binary64)
(exp.f64 a)
a
#s(literal 1 binary64)
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 a))))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(/.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 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b)))) (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (fma.f64 b #s(literal 3 binary64) (neg.f64 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))))
(-.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (+.f64 a (+.f64 b b)))) (exp.f64 (+.f64 a (+.f64 a 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))

localize146.0ms (1.4%)

Memory
-35.2MiB live, 248.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(exp.f64 (*.f64 b #s(literal 3 binary64)))
✓accuracy99.3%
(fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64))))
✓accuracy98.5%
(/.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)))))
✓accuracy72.7%
(-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))
✓accuracy100.0%
(exp.f64 a)
✓accuracy100.0%
(*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
✓accuracy99.6%
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
✓accuracy80.0%
#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 #s(literal 1 binary64) (exp.f64 a)))))
✓accuracy100.0%
(exp.f64 a)
✓accuracy100.0%
(+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))
✓accuracy99.2%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
✓accuracy77.9%
#s(approx (exp b) #s(literal 1 binary64))
✓accuracy100.0%
(exp.f64 b)
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (exp.f64 b))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
✓accuracy78.5%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
✓accuracy100.0%
(exp.f64 a)
✓accuracy100.0%
(+.f64 (exp.f64 a) (exp.f64 b))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))))
✓accuracy99.2%
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a)))
Samples
33.0ms63×1valid
28.0ms117×0valid
16.0ms68×0exit
7.0ms8×2valid
Compiler

Compiled 234 to 36 computations (84.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 60.0ms
ival-exp: 18.0ms (30.1% of total)
ival-div: 12.0ms (20.1% of total)
ival-add: 11.0ms (18.4% of total)
ival-mult: 9.0ms (15.1% of total)
adjust: 5.0ms (8.4% of total)
ival-sub: 3.0ms (5% of total)
ival-neg: 1.0ms (1.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series42.0ms (0.4%)

Memory
13.2MiB live, 87.1MiB allocated
Counts
19 → 372
Calls
Call 1
Inputs
#<alt (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))))>
#<alt (+.f64 (exp.f64 a) (exp.f64 b))>
#<alt (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 (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))>
#<alt #s(approx (exp b) #s(literal 1 binary64))>
#<alt (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))>
#<alt (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))>
#<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 #s(literal 1 binary64) (exp.f64 a)))))>
#<alt (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #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 (exp.f64 (*.f64 b #s(literal 3 binary64)))>
Outputs
#<alt (+ 1 (exp b))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* -1 (+ 1 (exp b)))))))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (+ (* -1 (+ 1 (exp b))) (* a (- (* 1/2 (+ 1 (exp b))) 1/2)))))))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (+ (* -1 (+ 1 (exp b))) (* a (- (+ (* 1/2 (+ 1 (exp b))) (* a (+ 1/6 (* -1/6 (+ 1 (exp b)))))) 1/2)))))))>
#<alt (* (exp (neg a)) (+ (exp a) (exp b)))>
#<alt (* (exp (neg a)) (+ (exp a) (exp b)))>
#<alt (* (exp (neg a)) (+ (exp a) (exp b)))>
#<alt (* (exp (neg a)) (+ (exp a) (exp b)))>
#<alt (* (exp (* -1 a)) (+ (exp a) (exp b)))>
#<alt (* (exp (* -1 a)) (+ (exp a) (exp b)))>
#<alt (* (exp (* -1 a)) (+ (exp a) (exp b)))>
#<alt (* (exp (* -1 a)) (+ (exp a) (exp b)))>
#<alt (* (exp (neg a)) (+ 1 (exp a)))>
#<alt (+ (* b (exp (neg a))) (* (exp (neg a)) (+ 1 (exp a))))>
#<alt (+ (* b (+ (exp (neg a)) (* 1/2 (* b (exp (neg a)))))) (* (exp (neg a)) (+ 1 (exp a))))>
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#<alt (- (+ (* 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)))))>
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#<alt (- (exp (neg (* -2 b))) (exp (- a (* -1 b))))>
#<alt (- (exp (* 2 b)) (exp b))>
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#<alt (- (+ (exp (* 2 b)) (* a (- (* a (- (* -1/6 (* a (exp b))) (* 1/2 (exp b)))) (exp b)))) (exp b))>
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#<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 1>
#<alt (+ 1 (* 3 b))>
#<alt (+ 1 (* b (+ 3 (* 9/2 b))))>
#<alt (+ 1 (* b (+ 3 (* b (+ 9/2 (* 9/2 b))))))>
#<alt (exp (* 3 b))>
#<alt (exp (* 3 b))>
#<alt (exp (* 3 b))>
#<alt (exp (* 3 b))>
#<alt (exp (* 3 b))>
#<alt (exp (* 3 b))>
#<alt (exp (* 3 b))>
#<alt (exp (* 3 b))>
Calls

93 calls:

TimeVariablePointExpression
4.0ms
a
@0
(+ (* (exp a) (- (exp (+ b b)) (exp (+ a b)))) (exp (* a 3)))
2.0ms
b
@-inf
(* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a))))
2.0ms
b
@inf
(/ 1 (+ 1 (exp b)))
2.0ms
a
@0
(/ (+ (* (exp a) (- (exp (+ b b)) (exp (+ a b)))) (exp (* a 3))) (+ (exp (* a 3)) (exp (* b 3))))
2.0ms
a
@0
(* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a))))

simplify393.0ms (3.8%)

Memory
22.2MiB live, 567.7MiB allocated
Algorithm
1×egg-herbie
Rules
8 666×lower-fma.f64
8 666×lower-fma.f32
4 984×lower-*.f64
4 984×lower-*.f32
4 784×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05966957
118196277
257186210
087795889
Stop Event
1×iter limit
1×node limit
Counts
372 → 372
Calls
Call 1
Inputs
(+ 1 (exp b))
(+ 1 (+ (exp b) (* a (+ 1 (* -1 (+ 1 (exp b)))))))
(+ 1 (+ (exp b) (* a (+ 1 (+ (* -1 (+ 1 (exp b))) (* a (- (* 1/2 (+ 1 (exp b))) 1/2)))))))
(+ 1 (+ (exp b) (* a (+ 1 (+ (* -1 (+ 1 (exp b))) (* a (- (+ (* 1/2 (+ 1 (exp b))) (* a (+ 1/6 (* -1/6 (+ 1 (exp b)))))) 1/2)))))))
(* (exp (neg a)) (+ (exp a) (exp b)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(* (exp (* -1 a)) (+ (exp a) (exp b)))
(* (exp (* -1 a)) (+ (exp a) (exp b)))
(* (exp (* -1 a)) (+ (exp a) (exp b)))
(* (exp (* -1 a)) (+ (exp a) (exp b)))
(* (exp (neg a)) (+ 1 (exp a)))
(+ (* b (exp (neg a))) (* (exp (neg a)) (+ 1 (exp a))))
(+ (* b (+ (exp (neg a)) (* 1/2 (* b (exp (neg a)))))) (* (exp (neg a)) (+ 1 (exp a))))
(+ (* b (+ (exp (neg a)) (* b (+ (* 1/6 (* b (exp (neg a)))) (* 1/2 (exp (neg a))))))) (* (exp (neg a)) (+ 1 (exp a))))
(* (exp (neg a)) (+ (exp a) (exp b)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(* (exp (neg a)) (+ (exp a) (exp b)))
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(* (exp (neg a)) (+ (exp a) (exp b)))
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(/ 1 (+ 1 (exp b)))
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(+ (* a (- (+ (* a (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
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(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
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(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))
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(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))
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(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
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1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
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(exp a)
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(/ (exp a) (+ 1 (exp a)))
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1/2
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2
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(- (exp (* 2 b)) (exp (+ a 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 (* 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))
(- (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 (* 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))))
1
(+ 1 (* 3 b))
(+ 1 (* b (+ 3 (* 9/2 b))))
(+ 1 (* b (+ 3 (* b (+ 9/2 (* 9/2 b))))))
(exp (* 3 b))
(exp (* 3 b))
(exp (* 3 b))
(exp (* 3 b))
(exp (* 3 b))
(exp (* 3 b))
(exp (* 3 b))
(exp (* 3 b))
Outputs
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (+ (exp b) (* a (+ 1 (* -1 (+ 1 (exp b)))))))
(+.f64 (exp.f64 b) (fma.f64 (exp.f64 b) (neg.f64 a) #s(literal 1 binary64)))
(+ 1 (+ (exp b) (* a (+ 1 (+ (* -1 (+ 1 (exp b))) (* a (- (* 1/2 (+ 1 (exp b))) 1/2)))))))
(fma.f64 a (fma.f64 a (+.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 b) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (neg.f64 (exp.f64 b))) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ 1 (+ (exp b) (* a (+ 1 (+ (* -1 (+ 1 (exp b))) (* a (- (+ (* 1/2 (+ 1 (exp b))) (* a (+ 1/6 (* -1/6 (+ 1 (exp b)))))) 1/2)))))))
(fma.f64 a (fma.f64 a (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 1/2 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 (exp.f64 b) a) #s(literal -1/2 binary64))) (neg.f64 (exp.f64 b))) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (* -1 a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (* -1 a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (* -1 a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (* -1 a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (neg a)) (+ 1 (exp a)))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
(+ (* b (exp (neg a))) (* (exp (neg a)) (+ 1 (exp a))))
(fma.f64 b (exp.f64 (neg.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
(+ (* b (+ (exp (neg a)) (* 1/2 (* b (exp (neg a)))))) (* (exp (neg a)) (+ 1 (exp a))))
(fma.f64 b (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 (neg.f64 a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
(+ (* b (+ (exp (neg a)) (* b (+ (* 1/6 (* b (exp (neg a)))) (* 1/2 (exp (neg a))))))) (* (exp (neg a)) (+ 1 (exp a))))
(fma.f64 b (fma.f64 b (*.f64 (exp.f64 (neg.f64 a)) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
(* (exp (neg a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(/ 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 a (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(+ (* a (- (+ (* a (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 a (fma.f64 a (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (neg.f64 (exp.f64 b)) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (* a (- (* 1/6 (/ 1 (+ 1 (exp b)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (+ 1 (exp b))) (/ (* (- (* 1/2 (+ 1 (exp b))) 1/2) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 a (fma.f64 a (fma.f64 a (-.f64 (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (neg.f64 (exp.f64 b)) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))) (/.f64 (neg.f64 (exp.f64 b)) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 b) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (/.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (neg.f64 (exp.f64 b)) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (neg a)) (+ 1 (exp a))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
(+ (* -1 (/ b (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) (/.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))))
(+ (* b (- (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
(fma.f64 b (fma.f64 b (+.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
(+ (* b (- (* b (- (+ (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (+ (* 1/6 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 4)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3)))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
(fma.f64 b (fma.f64 b (+.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (fma.f64 b (-.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (+.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 4 binary64))) (/.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))))) (/.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))))) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (+ a (exp b)))
(+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) a))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 b)))
(+ 1 (+ (exp b) (* 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)) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (+ b (exp a)))
(+.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+.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)) (exp.f64 a)))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
1
#s(literal 1 binary64)
(+ 1 a)
(+.f64 #s(literal 1 binary64) a)
(+ 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))
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(/ 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 a (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 a (-.f64 (fma.f64 a (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (/.f64 #s(literal -3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (/.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))))
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(/ (exp a) (+ (exp a) (exp b)))
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(+ (* 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))))))
(fma.f64 b (fma.f64 b (fma.f64 b (fma.f64 (exp.f64 a) (/.f64 (fma.f64 #s(literal -1/6 binary64) (exp.f64 a) #s(literal 4/3 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (fma.f64 (/.f64 (fma.f64 (exp.f64 a) (/.f64 (fma.f64 (exp.f64 a) #s(literal -1/2 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (fma.f64 (-.f64 (/.f64 (*.f64 (exp.f64 a) (-.f64 #s(literal 2 binary64) (exp.f64 a))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 3 binary64) (fma.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))) #s(literal 3 binary64)))) #s(literal -3 binary64) (*.f64 (/.f64 (fma.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))) #s(literal 2 binary64))) #s(literal -9/2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))) #s(literal -3 binary64) (*.f64 (-.f64 (+.f64 (/.f64 (fma.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))) #s(literal 2 binary64))) (/.f64 (*.f64 (exp.f64 a) (-.f64 #s(literal 2 binary64) (exp.f64 a))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))) #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 3 binary64) (fma.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))) #s(literal 3 binary64)))) #s(literal -9/2 binary64)))) (fma.f64 (exp.f64 a) (/.f64 (fma.f64 (exp.f64 a) #s(literal -1/2 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (fma.f64 (-.f64 (/.f64 (*.f64 (exp.f64 a) (-.f64 #s(literal 2 binary64) (exp.f64 a))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 3 binary64) (fma.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))) #s(literal 3 binary64)))) #s(literal -3 binary64) (*.f64 (/.f64 (fma.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))) #s(literal 2 binary64))) #s(literal -9/2 binary64))))) (fma.f64 (/.f64 (fma.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))) #s(literal 2 binary64))) #s(literal -3 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (exp.f64 a)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))))))) (fma.f64 (exp.f64 a) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (/.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b a))) (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 (+ a b))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b a))) (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 (+ a b))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b a))) (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 (+ a b))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b a))) (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 (neg (* -2 b))) (exp (- a (* -1 b)))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b a))) (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 (neg (* -2 b))) (exp (- a (* -1 b)))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b a))) (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 (neg (* -2 b))) (exp (- a (* -1 b)))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b a))) (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 (neg (* -2 b))) (exp (- a (* -1 b)))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b a))) (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)))))
(- 1 (exp a))
(-.f64 #s(literal 1 binary64) (exp.f64 a))
(- (+ 1 (* b (- 2 (exp a)))) (exp a))
(fma.f64 b (-.f64 #s(literal 2 binary64) (exp.f64 a)) (-.f64 #s(literal 1 binary64) (exp.f64 a)))
(- (+ 1 (* b (- (+ 2 (* b (- 2 (* 1/2 (exp a))))) (exp a)))) (exp a))
(fma.f64 b (-.f64 (fma.f64 b (fma.f64 (exp.f64 a) #s(literal -1/2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)) (exp.f64 a)) (-.f64 #s(literal 1 binary64) (exp.f64 a)))
(- (+ 1 (* b (- (+ 2 (* b (- (+ 2 (* b (- 4/3 (* 1/6 (exp a))))) (* 1/2 (exp a))))) (exp a)))) (exp a))
(fma.f64 b (fma.f64 b (fma.f64 b (fma.f64 #s(literal -1/6 binary64) (exp.f64 a) #s(literal 4/3 binary64)) (fma.f64 (exp.f64 a) #s(literal -1/2 binary64) #s(literal 2 binary64))) (-.f64 #s(literal 2 binary64) (exp.f64 a))) (-.f64 #s(literal 1 binary64) (exp.f64 a)))
(- (exp (* 2 b)) (exp (+ a b)))
(-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b a)))
(- (exp (* 2 b)) (exp (+ a b)))
(-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b a)))
(- (exp (* 2 b)) (exp (+ a b)))
(-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b a)))
(- (exp (* 2 b)) (exp (+ a b)))
(-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b a)))
(- (exp (neg (* -2 b))) (exp (- a (* -1 b))))
(-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b a)))
(- (exp (neg (* -2 b))) (exp (- a (* -1 b))))
(-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b a)))
(- (exp (neg (* -2 b))) (exp (- a (* -1 b))))
(-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b a)))
(- (exp (neg (* -2 b))) (exp (- a (* -1 b))))
(-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b a)))
(- (exp (* 2 b)) (exp b))
(-.f64 (exp.f64 (+.f64 b b)) (exp.f64 b))
(- (+ (exp (* 2 b)) (* -1 (* a (exp b)))) (exp b))
(-.f64 (-.f64 (exp.f64 (+.f64 b b)) (*.f64 (exp.f64 b) a)) (exp.f64 b))
(- (+ (exp (* 2 b)) (* a (- (* -1/2 (* a (exp b))) (exp b)))) (exp b))
(-.f64 (fma.f64 a (*.f64 (exp.f64 b) (fma.f64 a #s(literal -1/2 binary64) #s(literal -1 binary64))) (exp.f64 (+.f64 b b))) (exp.f64 b))
(- (+ (exp (* 2 b)) (* a (- (* a (- (* -1/6 (* a (exp b))) (* 1/2 (exp b)))) (exp b)))) (exp b))
(-.f64 (fma.f64 a (fma.f64 a (*.f64 (exp.f64 b) (fma.f64 a #s(literal -1/6 binary64) #s(literal -1/2 binary64))) (neg.f64 (exp.f64 b))) (exp.f64 (+.f64 b b))) (exp.f64 b))
(- (exp (* 2 b)) (exp (+ a b)))
(-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b a)))
(- (exp (* 2 b)) (exp (+ a b)))
(-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b a)))
(- (exp (* 2 b)) (exp (+ a b)))
(-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b a)))
(- (exp (* 2 b)) (exp (+ a b)))
(-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b a)))
(- (exp (* 2 b)) (exp (- b (* -1 a))))
(-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b a)))
(- (exp (* 2 b)) (exp (- b (* -1 a))))
(-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b a)))
(- (exp (* 2 b)) (exp (- b (* -1 a))))
(-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b a)))
(- (exp (* 2 b)) (exp (- b (* -1 a))))
(-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b a)))
1
#s(literal 1 binary64)
(+ 1 (* 3 b))
(fma.f64 b #s(literal 3 binary64) #s(literal 1 binary64))
(+ 1 (* b (+ 3 (* 9/2 b))))
(fma.f64 b (fma.f64 b #s(literal 9/2 binary64) #s(literal 3 binary64)) #s(literal 1 binary64))
(+ 1 (* b (+ 3 (* b (+ 9/2 (* 9/2 b))))))
(fma.f64 b (fma.f64 b (fma.f64 b #s(literal 9/2 binary64) #s(literal 9/2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))
(exp (* 3 b))
(exp.f64 (*.f64 b #s(literal 3 binary64)))
(exp (* 3 b))
(exp.f64 (*.f64 b #s(literal 3 binary64)))
(exp (* 3 b))
(exp.f64 (*.f64 b #s(literal 3 binary64)))
(exp (* 3 b))
(exp.f64 (*.f64 b #s(literal 3 binary64)))
(exp (* 3 b))
(exp.f64 (*.f64 b #s(literal 3 binary64)))
(exp (* 3 b))
(exp.f64 (*.f64 b #s(literal 3 binary64)))
(exp (* 3 b))
(exp.f64 (*.f64 b #s(literal 3 binary64)))
(exp (* 3 b))
(exp.f64 (*.f64 b #s(literal 3 binary64)))

rewrite397.0ms (3.9%)

Memory
31.3MiB live, 610.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 806×lower-fma.f32
4 804×lower-fma.f64
4 534×lower-/.f32
4 522×lower-/.f64
4 366×lower-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
041186
071188
1252181
21840174
08833174
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
19 → 692
Calls
Call 1
Inputs
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a)))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))))
(+.f64 (exp.f64 a) (exp.f64 b))
(exp.f64 a)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.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))))
(+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))
#s(approx (exp b) #s(literal 1 binary64))
(/.f64 (exp.f64 a) (+.f64 #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) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#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 #s(literal 1 binary64) (exp.f64 a)))))
(+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #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)))
(exp.f64 (*.f64 b #s(literal 3 binary64)))
Outputs
(+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b)))
(+.f64 (exp.f64 (+.f64 (neg.f64 a) b)) #s(literal 1 binary64))
(+.f64 (exp.f64 (+.f64 a (neg.f64 a))) (exp.f64 (+.f64 b (neg.f64 a))))
(+.f64 (exp.f64 (+.f64 b (neg.f64 a))) (exp.f64 (+.f64 a (neg.f64 a))))
(exp.f64 (neg.f64 (*.f64 (log1p.f64 (exp.f64 (+.f64 (neg.f64 a) b))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 a)) (/.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 a)))
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 a #s(literal 6 binary64))) (-.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (+.f64 b b)))) (*.f64 (exp.f64 a) (+.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (+.f64 a a))))) (/.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (+.f64 b b)))) (*.f64 (exp.f64 a) (+.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (+.f64 a a))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 a))) (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (neg.f64 (exp.f64 a))))
(-.f64 (/.f64 (exp.f64 (+.f64 a a)) (*.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b)))) (/.f64 (exp.f64 (+.f64 b b)) (*.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b)))))
(fma.f64 (exp.f64 a) (exp.f64 (neg.f64 a)) (exp.f64 (+.f64 b (neg.f64 a))))
(fma.f64 (exp.f64 b) (exp.f64 (neg.f64 a)) (exp.f64 (+.f64 a (neg.f64 a))))
(fma.f64 (exp.f64 (neg.f64 a)) (exp.f64 b) #s(literal 1 binary64))
(/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))))))
(/.f64 (+.f64 (exp.f64 (+.f64 b b)) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (*.f64 (exp.f64 a) (+.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (+.f64 a a)))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 b b)) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (neg.f64 (*.f64 (exp.f64 a) (+.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (+.f64 a a))))))
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(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b)))) #s(literal -1 binary64))
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(*.f64 (exp.f64 (+.f64 b b)) (exp.f64 b))
(*.f64 (exp.f64 (+.f64 b b)) #s(literal 1 binary64))
(*.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)))

eval183.0ms (1.8%)

Memory
4.1MiB live, 309.5MiB allocated
Compiler

Compiled 27 261 to 2 366 computations (91.3% saved)

prune129.0ms (1.2%)

Memory
7.7MiB live, 337.4MiB allocated
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New1 157121 169
Fresh000
Picked415
Done000
Total1 161131 174
Accuracy
100.0%
Counts
1 174 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.2%
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
▶62.9%
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
51.2%
#s(approx (/ (+ (* (exp a) (- (exp (+ b b)) (exp (+ a b)))) (exp (* a 3))) (+ (exp (* a 3)) (exp (* b 3)))) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 b))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64))))))
✓78.5%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
47.6%
#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)))))
▶43.1%
#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)))))
▶32.0%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
26.7%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
▶31.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (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))))
31.1%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
32.2%
#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))))
▶34.3%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))
31.9%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (+.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -1/8 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 260 to 192 computations (26.2% saved)

simplify211.0ms (2.1%)

Memory
13.2MiB live, 242.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(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))
✓cost-diff0
(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))
✓cost-diff0
#s(approx (/ 1 (+ 1 (exp b))) (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)))
✓cost-diff0
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (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))))
✓cost-diff0
(fma.f64 b (fma.f64 b #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 #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 #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 #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 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
(exp.f64 (neg.f64 a))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
✓cost-diff0
#s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
Rules
4 184×lower-fma.f32
4 174×lower-fma.f64
2 086×unsub-neg
1 344×lower-*.f32
1 340×lower-*.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
040270
059270
1102270
2204266
3427264
4545264
5618264
6814264
71082264
81355264
92534264
103925264
114348264
124430264
134459264
144474264
154495264
164495264
174499264
04499264
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
#s(literal 1 binary64)
#s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
(exp.f64 (neg.f64 a))
(neg.f64 a)
a
#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))) (/.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)))))
(/.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(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)))
(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
b
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (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))))
#s(approx (/ 1 (+ 1 (exp b))) (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)))
(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))
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))
(*.f64 b b)
(fma.f64 b (*.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64))
(*.f64 b #s(literal -1/480 binary64))
#s(literal -1/480 binary64)
#s(literal 1/48 binary64)
#s(literal -1/4 binary64)
#s(literal 1/2 binary64)
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
#s(literal 1 binary64)
#s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
(exp.f64 (neg.f64 a))
(neg.f64 a)
a
#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))) (/.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)))))
(/.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(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)))
(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
b
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (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))))
#s(approx (/ 1 (+ 1 (exp b))) (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)))
(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))
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))
(*.f64 b b)
(fma.f64 b (*.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64))
(*.f64 b #s(literal -1/480 binary64))
#s(literal -1/480 binary64)
#s(literal 1/48 binary64)
#s(literal -1/4 binary64)
#s(literal 1/2 binary64)

localize130.0ms (1.3%)

Memory
-32.5MiB live, 256.2MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(fma.f64 b (*.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64))
✓accuracy99.9%
(*.f64 b #s(literal -1/480 binary64))
✓accuracy78.9%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (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))))
✓accuracy53.2%
#s(approx (/ 1 (+ 1 (exp b))) (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)))
✓accuracy100.0%
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
✓accuracy100.0%
(/.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))))
✓accuracy78.9%
#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)))))
✓accuracy64.4%
#s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
✓accuracy100.0%
(+.f64 b #s(literal 2 binary64))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))
✓accuracy78.9%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
✓accuracy53.0%
#s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))
✓accuracy78.9%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))
✓accuracy55.4%
#s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))
✓accuracy100.0%
(exp.f64 (neg.f64 a))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
✓accuracy62.9%
#s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
Samples
61.0ms255×0valid
1.0ms1×5exit
Compiler

Compiled 171 to 34 computations (80.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-mult: 11.0ms (24.9% of total)
ival-add: 10.0ms (22.7% of total)
const: 8.0ms (18.1% of total)
ival-div: 8.0ms (18.1% of total)
ival-exp: 6.0ms (13.6% of total)
ival-neg: 1.0ms (2.3% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series12.0ms (0.1%)

Memory
-12.9MiB live, 25.8MiB allocated
Counts
21 → 324
Calls
Call 1
Inputs
#<alt (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))>
#<alt #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))>
#<alt (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))>
#<alt (exp.f64 (neg.f64 a))>
#<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 #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)))))>
#<alt (/.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))))>
#<alt #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))>
#<alt (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))>
#<alt #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (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))))>
#<alt #s(approx (/ 1 (+ 1 (exp b))) (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)))>
#<alt (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))>
#<alt (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))>
#<alt (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))>
#<alt (*.f64 b #s(literal -1/480 binary64))>
#<alt (fma.f64 b (*.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64))>
Outputs
#<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 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (* a (- (* 1/6 (/ 1 (+ 1 (exp b)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (+ 1 (exp b))) (/ (* (- (* 1/2 (+ 1 (exp b))) 1/2) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))>
#<alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))>
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#<alt (* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))>
#<alt (* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))>
#<alt (* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))>
#<alt (* -1/480 (pow b 2))>
#<alt (* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))>
#<alt (* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))>
#<alt (* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))>
Calls

81 calls:

TimeVariablePointExpression
0.0ms
b
@inf
(+ (* b (+ (* (* b b) (+ (* b (* b -1/480)) 1/48)) -1/4)) 1/2)
0.0ms
b
@-inf
(+ (* b (+ (* (* b b) (+ (* b (* b -1/480)) 1/48)) -1/4)) 1/2)
0.0ms
b
@0
(* b -1/480)
0.0ms
b
@-inf
(+ (* b (+ (* b 1/2) 1)) 2)
0.0ms
b
@inf
(* b -1/480)

simplify507.0ms (4.9%)

Memory
78.4MiB live, 989.4MiB allocated
Algorithm
1×egg-herbie
Rules
17 832×lower-fma.f64
17 832×lower-fma.f32
5 966×lower-*.f64
5 966×lower-*.f32
5 294×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02724377
17773874
222923763
081673607
Stop Event
1×iter limit
1×node limit
Counts
324 → 322
Calls
Call 1
Inputs
(/ 1 (+ 1 (exp b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (* a (- (* 1/6 (/ 1 (+ 1 (exp b)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (+ 1 (exp b))) (/ (* (- (* 1/2 (+ 1 (exp b))) 1/2) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ 1 (exp a))))
(+ (* -1 (/ b (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
(+ (* b (- (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
(+ (* b (- (* b (- (+ (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (+ (* 1/6 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 4)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3)))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(+ 1 (exp b))
(+ 1 (+ (exp b) (* a (+ 1 (* -1 (+ 1 (exp b)))))))
(+ 1 (+ (exp b) (* a (+ 1 (+ (* -1 (+ 1 (exp b))) (* a (- (* 1/2 (+ 1 (exp b))) 1/2)))))))
(+ 1 (+ (exp b) (* a (+ 1 (+ (* -1 (+ 1 (exp b))) (* a (- (+ (* 1/2 (+ 1 (exp b))) (* a (+ 1/6 (* -1/6 (+ 1 (exp b)))))) 1/2)))))))
(* (exp (neg a)) (+ (exp a) (exp b)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(* (exp (* -1 a)) (+ (exp a) (exp b)))
(* (exp (* -1 a)) (+ (exp a) (exp b)))
(* (exp (* -1 a)) (+ (exp a) (exp b)))
(* (exp (* -1 a)) (+ (exp a) (exp b)))
(* (exp (neg a)) (+ 1 (exp a)))
(+ (* b (exp (neg a))) (* (exp (neg a)) (+ 1 (exp a))))
(+ (* b (+ (exp (neg a)) (* 1/2 (* b (exp (neg a)))))) (* (exp (neg a)) (+ 1 (exp a))))
(+ (* b (+ (exp (neg a)) (* b (+ (* 1/6 (* b (exp (neg a)))) (* 1/2 (exp (neg a))))))) (* (exp (neg a)) (+ 1 (exp a))))
(* (exp (neg a)) (+ (exp a) (exp b)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(* (exp (neg a)) (+ (exp a) (exp b)))
2
(+ 2 (* -1 a))
(+ 2 (* a (- (* 1/2 a) 1)))
(+ 2 (* a (- (* a (+ 1/2 (* -1/6 a))) 1)))
(+ 1 (exp (neg a)))
(+ 1 (exp (neg a)))
(+ 1 (exp (neg a)))
(+ 1 (exp (neg a)))
(+ 1 (exp (* -1 a)))
(+ 1 (exp (* -1 a)))
(+ 1 (exp (* -1 a)))
(+ 1 (exp (* -1 a)))
1
(+ 1 (* -1 a))
(+ 1 (* a (- (* 1/2 a) 1)))
(+ 1 (* a (- (* a (+ 1/2 (* -1/6 a))) 1)))
(exp (neg a))
(exp (neg a))
(exp (neg a))
(exp (neg a))
(exp (* -1 a))
(exp (* -1 a))
(exp (* -1 a))
(exp (* -1 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))))
(/ (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 (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) (+ (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)))
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)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 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))))
(/ (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 (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) (+ (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)))
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)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
2
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
2
(+ 2 b)
(+ 2 b)
(+ 2 b)
b
(* b (+ 1 (* 2 (/ 1 b))))
(* b (+ 1 (* 2 (/ 1 b))))
(* b (+ 1 (* 2 (/ 1 b))))
b
(* b (+ 1 (* 2 (/ 1 b))))
(* b (+ 1 (* 2 (/ 1 b))))
(* b (+ 1 (* 2 (/ 1 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 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ 1 (exp a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(/ (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)))
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)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
2
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
2
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* 1/2 b))))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(/ 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 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ 1 (exp a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(/ (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)))
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)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
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)))
(* -1/480 (pow b 5))
(* (pow b 5) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* (pow b 5) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))
(* (pow b 5) (- (+ (* 1/48 (/ 1 (pow b 2))) (* 1/2 (/ 1 (pow b 5)))) (+ 1/480 (/ 1/4 (pow b 4)))))
(* -1/480 (pow b 5))
(* -1 (* (pow b 5) (- 1/480 (* 1/48 (/ 1 (pow b 2))))))
(* -1 (* (pow b 5) (- (+ 1/480 (/ 1/4 (pow b 4))) (* 1/48 (/ 1 (pow b 2))))))
(* -1 (* (pow b 5) (- (+ 1/480 (/ 1/4 (pow b 4))) (+ (* 1/48 (/ 1 (pow b 2))) (* 1/2 (/ 1 (pow b 5)))))))
-1/4
(- (* 1/48 (pow b 2)) 1/4)
(- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)
(- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)
(* -1/480 (pow b 4))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))
(* -1/480 (pow b 4))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))
1
(+ 1 (* 1/2 b))
(+ 1 (* 1/2 b))
(+ 1 (* 1/2 b))
(* 1/2 b)
(* b (+ 1/2 (/ 1 b)))
(* b (+ 1/2 (/ 1 b)))
(* b (+ 1/2 (/ 1 b)))
(* 1/2 b)
(* b (+ 1/2 (/ 1 b)))
(* b (+ 1/2 (/ 1 b)))
(* b (+ 1/2 (/ 1 b)))
(* -1/480 b)
(* -1/480 b)
(* -1/480 b)
(* -1/480 b)
(* -1/480 b)
(* -1/480 b)
(* -1/480 b)
(* -1/480 b)
(* -1/480 b)
(* -1/480 b)
(* -1/480 b)
(* -1/480 b)
1/48
(+ 1/48 (* -1/480 (pow b 2)))
(+ 1/48 (* -1/480 (pow b 2)))
(+ 1/48 (* -1/480 (pow b 2)))
(* -1/480 (pow b 2))
(* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* -1/480 (pow b 2))
(* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
Outputs
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
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(*.f64 (pow.f64 b #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 1/48 binary64) (*.f64 b b)) (-.f64 #s(literal -1/480 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))))
(* -1 (* (pow b 5) (- (+ 1/480 (/ 1/4 (pow b 4))) (+ (* 1/48 (/ 1 (pow b 2))) (* 1/2 (/ 1 (pow b 5)))))))
(*.f64 (pow.f64 b #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 1/48 binary64) (*.f64 b b)) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 5 binary64))) (-.f64 #s(literal -1/480 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 b (*.f64 b (*.f64 b b))))))))
-1/4
#s(literal -1/4 binary64)
(- (* 1/48 (pow b 2)) 1/4)
(fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64))
(- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)
(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))
(- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)
(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))
(* -1/480 (pow b 4))
(*.f64 (*.f64 b b) (*.f64 (*.f64 b b) #s(literal -1/480 binary64)))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(*.f64 (+.f64 #s(literal -1/480 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 b b))) (*.f64 b (*.f64 b (*.f64 b b))))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 #s(literal 1/48 binary64) (*.f64 b b)) (-.f64 #s(literal -1/480 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 #s(literal 1/48 binary64) (*.f64 b b)) (-.f64 #s(literal -1/480 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))))
(* -1/480 (pow b 4))
(*.f64 (*.f64 b b) (*.f64 (*.f64 b b) #s(literal -1/480 binary64)))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(*.f64 (+.f64 #s(literal -1/480 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 b b))) (*.f64 b (*.f64 b (*.f64 b b))))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 #s(literal 1/48 binary64) (*.f64 b b)) (-.f64 #s(literal -1/480 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 #s(literal 1/48 binary64) (*.f64 b b)) (-.f64 #s(literal -1/480 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 b))
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* 1/2 b))
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* 1/2 b))
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
(* 1/2 b)
(*.f64 b #s(literal 1/2 binary64))
(* b (+ 1/2 (/ 1 b)))
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
(* b (+ 1/2 (/ 1 b)))
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
(* b (+ 1/2 (/ 1 b)))
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
(* 1/2 b)
(*.f64 b #s(literal 1/2 binary64))
(* b (+ 1/2 (/ 1 b)))
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
(* b (+ 1/2 (/ 1 b)))
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
(* b (+ 1/2 (/ 1 b)))
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
(* -1/480 b)
(*.f64 b #s(literal -1/480 binary64))
(* -1/480 b)
(*.f64 b #s(literal -1/480 binary64))
(* -1/480 b)
(*.f64 b #s(literal -1/480 binary64))
(* -1/480 b)
(*.f64 b #s(literal -1/480 binary64))
(* -1/480 b)
(*.f64 b #s(literal -1/480 binary64))
(* -1/480 b)
(*.f64 b #s(literal -1/480 binary64))
(* -1/480 b)
(*.f64 b #s(literal -1/480 binary64))
(* -1/480 b)
(*.f64 b #s(literal -1/480 binary64))
(* -1/480 b)
(*.f64 b #s(literal -1/480 binary64))
(* -1/480 b)
(*.f64 b #s(literal -1/480 binary64))
(* -1/480 b)
(*.f64 b #s(literal -1/480 binary64))
(* -1/480 b)
(*.f64 b #s(literal -1/480 binary64))
1/48
#s(literal 1/48 binary64)
(+ 1/48 (* -1/480 (pow b 2)))
(fma.f64 b (*.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64))
(+ 1/48 (* -1/480 (pow b 2)))
(fma.f64 b (*.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64))
(+ 1/48 (* -1/480 (pow b 2)))
(fma.f64 b (*.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64))
(* -1/480 (pow b 2))
(*.f64 (*.f64 b b) #s(literal -1/480 binary64))
(* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(*.f64 b (*.f64 b (+.f64 #s(literal -1/480 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 b b)))))
(* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(*.f64 b (*.f64 b (+.f64 #s(literal -1/480 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 b b)))))
(* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(*.f64 b (*.f64 b (+.f64 #s(literal -1/480 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 b b)))))
(* -1/480 (pow b 2))
(*.f64 (*.f64 b b) #s(literal -1/480 binary64))
(* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(*.f64 b (*.f64 b (+.f64 #s(literal -1/480 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 b b)))))
(* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(*.f64 b (*.f64 b (+.f64 #s(literal -1/480 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 b b)))))
(* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(*.f64 b (*.f64 b (+.f64 #s(literal -1/480 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 b b)))))

rewrite295.0ms (2.9%)

Memory
-1.4MiB live, 602.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 776×lower-*.f32
4 772×lower-*.f64
4 222×lower-/.f32
4 216×lower-/.f64
3 162×lower-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
040250
059250
1243248
21680246
08138246
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
21 → 345
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
#s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
(exp.f64 (neg.f64 a))
#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))
#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)))))
(/.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 (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(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 (/ 1 (+ 1 (exp b))) (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))))
#s(approx (/ 1 (+ 1 (exp b))) (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)))
(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))
(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))
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 b #s(literal -1/480 binary64))
(fma.f64 b (*.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64))
Outputs
(exp.f64 (*.f64 (log.f64 #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))))))
(pow.f64 #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) #s(literal -1 binary64))
(pow.f64 (neg.f64 (neg.f64 #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))) #s(literal -1 binary64))
(pow.f64 (pow.f64 #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))))
(*.f64 (pow.f64 #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) #s(literal -1/2 binary64)) (pow.f64 #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) #s(literal -1/2 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))))
(/.f64 #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))))
(/.f64 (neg.f64 #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))) #s(literal 1 binary64))
#s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
(pow.f64 #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) #s(literal -1 binary64))
(*.f64 #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
(+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) (/.f64 (exp.f64 (neg.f64 (+.f64 a a))) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
(-.f64 (/.f64 (exp.f64 (neg.f64 (+.f64 a a))) (expm1.f64 (neg.f64 a))) (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 a))))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)) #s(literal 1 binary64))
(fma.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (exp.f64 (neg.f64 a)) (expm1.f64 (neg.f64 a)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 a) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (+.f64 a a))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (exp.f64 (neg.f64 a)) (expm1.f64 (neg.f64 a)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 a) #s(literal 3 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (+.f64 a a)))))))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 a) #s(literal 3 binary64)))) (fma.f64 (exp.f64 (neg.f64 a)) (expm1.f64 (neg.f64 a)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 a) #s(literal 3 binary64)))) (+.f64 (exp.f64 (neg.f64 (+.f64 a a))) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (+.f64 a a)))) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 a) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (exp.f64 (neg.f64 a)) (expm1.f64 (neg.f64 a)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 a) #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (neg.f64 (+.f64 a a))) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (+.f64 a a))))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
(/.f64 (expm1.f64 (neg.f64 (+.f64 a a))) (expm1.f64 (neg.f64 a)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (exp.f64 (neg.f64 (+.f64 a a))))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 (neg.f64 a) #s(literal 3 binary64)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 (+.f64 (neg.f64 a) (neg.f64 a)) #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 a) #s(literal 3 binary64))))) (fma.f64 (exp.f64 (neg.f64 a)) (expm1.f64 (neg.f64 a)) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (+.f64 (neg.f64 a) (neg.f64 a)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 a) #s(literal 3 binary64)))) (fma.f64 (exp.f64 (neg.f64 a)) (expm1.f64 (neg.f64 a)) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (+.f64 (neg.f64 a) (neg.f64 a)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (+.f64 (neg.f64 a) (neg.f64 a)) (+.f64 (neg.f64 a) (neg.f64 a)))) (exp.f64 (neg.f64 (+.f64 a a))))) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (+.f64 (neg.f64 a) (neg.f64 a)) (+.f64 (neg.f64 a) (neg.f64 a))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (+.f64 a a)))) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 a) #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (fma.f64 (exp.f64 (neg.f64 a)) (expm1.f64 (neg.f64 a)) #s(literal 1 binary64)))))
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(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal 1/64 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) #s(literal 1/4 binary64)) (*.f64 (*.f64 b b) #s(literal 1/4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal 1/4 binary64)))) (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 b b) #s(literal 1/4 binary64)) (*.f64 (*.f64 b b) #s(literal 1/4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) #s(literal 1 binary64)) (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal 1/4 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 b (*.f64 b b)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 b #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 b b) #s(literal 1/4 binary64)) (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 b b) #s(literal 1/4 binary64)) (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 b b) #s(literal 1/4 binary64)) (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 b b) #s(literal 1/4 binary64)) (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64)))))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 b #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 b (*.f64 b b)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 b (*.f64 b b)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 b #s(literal 1/2 binary64)))))
(*.f64 (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64))))
(*.f64 b #s(literal -1/480 binary64))
(*.f64 #s(literal -1/480 binary64) b)
(+.f64 #s(literal 1/48 binary64) (*.f64 b (*.f64 b #s(literal -1/480 binary64))))
(+.f64 (*.f64 b (*.f64 b #s(literal -1/480 binary64))) #s(literal 1/48 binary64))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64)) (fma.f64 b (*.f64 b #s(literal -1/480 binary64)) #s(literal -1/48 binary64))) (/.f64 #s(literal 1/2304 binary64) (fma.f64 b (*.f64 b #s(literal -1/480 binary64)) #s(literal -1/48 binary64))))
(-.f64 (/.f64 #s(literal 1/2304 binary64) (-.f64 #s(literal 1/48 binary64) (*.f64 b (*.f64 b #s(literal -1/480 binary64))))) (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64)) (-.f64 #s(literal 1/48 binary64) (*.f64 b (*.f64 b #s(literal -1/480 binary64))))))
(fma.f64 b (*.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64))
(fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64))
(fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64))
(fma.f64 (*.f64 b #s(literal -1/480 binary64)) b #s(literal 1/48 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64) #s(literal 1/2304 binary64)) (*.f64 (*.f64 b b) #s(literal -1/23040 binary64))) (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/110592000 binary64)) #s(literal 1/110592 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/480 binary64)) #s(literal -1/48 binary64)) (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64) #s(literal -1/2304 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64) #s(literal 1/2304 binary64)) (*.f64 (*.f64 b b) #s(literal -1/23040 binary64))) (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/110592000 binary64)) #s(literal 1/110592 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 b (*.f64 b #s(literal -1/480 binary64)) #s(literal -1/48 binary64)) (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64) #s(literal -1/2304 binary64)))))
(/.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/110592000 binary64)) #s(literal 1/110592 binary64)) (-.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64) #s(literal 1/2304 binary64)) (*.f64 (*.f64 b b) #s(literal -1/23040 binary64))))
(/.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/110592000 binary64)) #s(literal 1/110592 binary64)) (+.f64 #s(literal 1/2304 binary64) (-.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64)) (*.f64 (*.f64 b b) #s(literal -1/23040 binary64)))))
(/.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64) #s(literal -1/2304 binary64)) (fma.f64 b (*.f64 b #s(literal -1/480 binary64)) #s(literal -1/48 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/110592000 binary64)) #s(literal 1/110592 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64) #s(literal 1/2304 binary64)) (*.f64 (*.f64 b b) #s(literal -1/23040 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/110592000 binary64)) #s(literal 1/110592 binary64))) (neg.f64 (+.f64 #s(literal 1/2304 binary64) (-.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64)) (*.f64 (*.f64 b b) #s(literal -1/23040 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64) #s(literal -1/2304 binary64))) (neg.f64 (fma.f64 b (*.f64 b #s(literal -1/480 binary64)) #s(literal -1/48 binary64))))
(/.f64 (-.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64))) (-.f64 #s(literal 1/48 binary64) (*.f64 b (*.f64 b #s(literal -1/480 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64)) (fma.f64 b (*.f64 b #s(literal -1/480 binary64)) #s(literal -1/48 binary64))) (*.f64 (fma.f64 b (*.f64 b #s(literal -1/480 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2304 binary64))) (*.f64 (fma.f64 b (*.f64 b #s(literal -1/480 binary64)) #s(literal -1/48 binary64)) (fma.f64 b (*.f64 b #s(literal -1/480 binary64)) #s(literal -1/48 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/110592000 binary64))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/110592000 binary64))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/110592000 binary64)))) #s(literal 1/1352605460594688 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/110592000 binary64))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/110592000 binary64))) (-.f64 #s(literal 1/12230590464 binary64) (*.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -1/12230590464000 binary64)))) (-.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64) #s(literal 1/2304 binary64)) (*.f64 (*.f64 b b) #s(literal -1/23040 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/110592000 binary64))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/110592000 binary64)))) #s(literal 1/12230590464 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/110592000 binary64))) #s(literal 1/110592 binary64)) (-.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64) #s(literal 1/2304 binary64)) (*.f64 (*.f64 b b) #s(literal -1/23040 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/110592000 binary64))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/110592000 binary64)))) #s(literal 1/12230590464 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64)) (+.f64 #s(literal 1/5308416 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64)) #s(literal 1/2304 binary64)))) (fma.f64 b (*.f64 b #s(literal -1/480 binary64)) #s(literal -1/48 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64))) #s(literal 1/5308416 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64) #s(literal 1/2304 binary64)) (fma.f64 b (*.f64 b #s(literal -1/480 binary64)) #s(literal -1/48 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/110592000 binary64)) #s(literal 1/110592 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64) #s(literal 1/2304 binary64)) (*.f64 (*.f64 b b) #s(literal -1/23040 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64) #s(literal -1/2304 binary64)))) (neg.f64 (neg.f64 (fma.f64 b (*.f64 b #s(literal -1/480 binary64)) #s(literal -1/48 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64)))) (neg.f64 (-.f64 #s(literal 1/48 binary64) (*.f64 b (*.f64 b #s(literal -1/480 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64)) (fma.f64 b (*.f64 b #s(literal -1/480 binary64)) #s(literal -1/48 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2304 binary64) (fma.f64 b (*.f64 b #s(literal -1/480 binary64)) #s(literal -1/48 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64)) (fma.f64 b (*.f64 b #s(literal -1/480 binary64)) #s(literal -1/48 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64)) (fma.f64 b (*.f64 b #s(literal -1/480 binary64)) #s(literal -1/48 binary64))) (fma.f64 (/.f64 #s(literal 1/2304 binary64) (fma.f64 b (*.f64 b #s(literal -1/480 binary64)) #s(literal -1/48 binary64))) (/.f64 #s(literal 1/2304 binary64) (fma.f64 b (*.f64 b #s(literal -1/480 binary64)) #s(literal -1/48 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64)) (fma.f64 b (*.f64 b #s(literal -1/480 binary64)) #s(literal -1/48 binary64))) (/.f64 #s(literal 1/2304 binary64) (fma.f64 b (*.f64 b #s(literal -1/480 binary64)) #s(literal -1/48 binary64)))))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64) #s(literal 1/2304 binary64)) (*.f64 (*.f64 b b) #s(literal -1/23040 binary64))) (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/110592000 binary64)) #s(literal 1/110592 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 b (*.f64 b #s(literal -1/480 binary64)) #s(literal -1/48 binary64)) (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64) #s(literal -1/2304 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/110592000 binary64)) #s(literal 1/110592 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64) #s(literal 1/2304 binary64)) (*.f64 (*.f64 b b) #s(literal -1/23040 binary64)))))
(*.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64) #s(literal -1/2304 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal -1/480 binary64)) #s(literal -1/48 binary64))))

eval154.0ms (1.5%)

Memory
3.8MiB live, 198.2MiB allocated
Compiler

Compiled 14 677 to 1 419 computations (90.3% saved)

prune232.0ms (2.2%)

Memory
-21.5MiB live, 184.0MiB allocated
Pruning

21 alts after pruning (15 fresh and 6 done)

PrunedKeptTotal
New65512667
Fresh437
Picked055
Done011
Total65921680
Accuracy
100.0%
Counts
680 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓62.9%
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
▶53.4%
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg 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 2 binary64)))))
49.4%
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))))
34.8%
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a))))
51.2%
#s(approx (/ (+ (* (exp a) (- (exp (+ b b)) (exp (+ a b)))) (exp (* a 3))) (+ (exp (* a 3)) (exp (* b 3)))) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 b))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64))))))
✓78.5%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
▶47.6%
#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)))))
✓43.1%
#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 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (*.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)) #s(literal 8 binary64)) (-.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)))))))
31.3%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal 64 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 b (*.f64 b b)) #s(literal 8 binary64)) (-.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b #s(literal 2 binary64))))))))
33.4%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 b b #s(literal 4 binary64)) (+.f64 b #s(literal -2 binary64)))))))
✓32.0%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
14.3%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)))))
▶14.6%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (*.f64 b (*.f64 b #s(literal 1/2 binary64)))))))
▶26.7%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
✓31.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (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))))
31.1%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 (*.f64 b b) #s(approx (+ (* b (* b -1/480)) 1/48) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
▶32.2%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(approx (+ (* (* b b) (+ (* b (* b -1/480)) 1/48)) -1/4) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
31.0%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) (*.f64 b (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 (*.f64 b 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))))))
20.5%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b (+ (* (* b b) (+ (* b (* b -1/480)) 1/48)) -1/4)) 1/2) (*.f64 #s(literal -1/480 binary64) (pow.f64 b #s(literal 5 binary64))))))
✓34.3%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))
Compiler

Compiled 592 to 349 computations (41% saved)

simplify472.0ms (4.6%)

Memory
25.4MiB live, 304.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 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
(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)))))
✓cost-diff0
#s(approx (+ (* b (+ (* b 1/2) 1)) 2) (*.f64 b (*.f64 b #s(literal 1/2 binary64))))
✓cost-diff0
#s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (*.f64 b (*.f64 b #s(literal 1/2 binary64)))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (*.f64 b (*.f64 b #s(literal 1/2 binary64))))))
✓cost-diff0
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (*.f64 b (*.f64 b #s(literal 1/2 binary64)))))))
✓cost-diff0
#s(approx (+ (* (* b b) (+ (* b (* b -1/480)) 1/48)) -1/4) #s(literal -1/4 binary64))
✓cost-diff0
(fma.f64 b #s(approx (+ (* (* b b) (+ (* b (* b -1/480)) 1/48)) -1/4) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
✓cost-diff0
#s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(approx (+ (* (* b b) (+ (* b (* b -1/480)) 1/48)) -1/4) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))
✓cost-diff0
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(approx (+ (* (* b b) (+ (* b (* b -1/480)) 1/48)) -1/4) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
✓cost-diff0
(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 2 binary64))
✓cost-diff0
#s(approx (+ 1 (exp (neg 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 2 binary64)))
✓cost-diff0
#s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg 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 2 binary64))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg 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 2 binary64)))))
Rules
6 144×lower-fma.f32
6 130×lower-fma.f64
1 928×lower-*.f32
1 924×lower-*.f64
1 724×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056396
078396
1146396
2290392
3553390
4736390
5994390
61721390
72703390
83446390
94467390
105399390
115467390
125514390
135519390
145951390
156292390
166421390
176462390
186478390
196488390
206490390
216490390
226498390
236506390
06506374
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg 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 2 binary64)))))
#s(literal 1 binary64)
#s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg 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 2 binary64))))
#s(approx (+ 1 (exp (neg 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 2 binary64)))
(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 2 binary64))
a
(fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64))
#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 (/ 1 (+ 1 (exp b))) (fma.f64 b #s(approx (+ (* (* b b) (+ (* b (* b -1/480)) 1/48)) -1/4) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(approx (+ (* (* b b) (+ (* b (* b -1/480)) 1/48)) -1/4) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))
(fma.f64 b #s(approx (+ (* (* b b) (+ (* b (* b -1/480)) 1/48)) -1/4) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
b
#s(approx (+ (* (* b b) (+ (* b (* b -1/480)) 1/48)) -1/4) #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (*.f64 b (*.f64 b #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (*.f64 b (*.f64 b #s(literal 1/2 binary64))))))
#s(literal 1 binary64)
#s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (*.f64 b (*.f64 b #s(literal 1/2 binary64)))))
#s(approx (+ (* b (+ (* b 1/2) 1)) 2) (*.f64 b (*.f64 b #s(literal 1/2 binary64))))
(*.f64 b (*.f64 b #s(literal 1/2 binary64)))
b
(*.f64 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)) (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))) (+.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 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg 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 2 binary64)))))
#s(literal 1 binary64)
#s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg 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 2 binary64))))
#s(approx (+ 1 (exp (neg 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 2 binary64)))
(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 2 binary64))
a
(fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64))
#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 (/ 1 (+ 1 (exp b))) (fma.f64 b #s(approx (+ (* (* b b) (+ (* b (* b -1/480)) 1/48)) -1/4) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(approx (+ (* (* b b) (+ (* b (* b -1/480)) 1/48)) -1/4) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))
(fma.f64 b #s(approx (+ (* (* b b) (+ (* b (* b -1/480)) 1/48)) -1/4) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
b
#s(approx (+ (* (* b b) (+ (* b (* b -1/480)) 1/48)) -1/4) #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (*.f64 b (*.f64 b #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 1/2) 1)) 2) (*.f64 #s(literal 1/2 binary64) (*.f64 b b))))))
(/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (*.f64 b (*.f64 b #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (*.f64 #s(literal 1/2 binary64) (*.f64 b b)))))
#s(literal 1 binary64)
#s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (*.f64 b (*.f64 b #s(literal 1/2 binary64)))))
#s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (*.f64 #s(literal 1/2 binary64) (*.f64 b b))))
#s(approx (+ (* b (+ (* b 1/2) 1)) 2) (*.f64 b (*.f64 b #s(literal 1/2 binary64))))
#s(approx (+ (* b (+ (* b 1/2) 1)) 2) (*.f64 #s(literal 1/2 binary64) (*.f64 b b)))
(*.f64 b (*.f64 b #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 b b))
b
(*.f64 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)) (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))) (+.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)

localize283.0ms (2.7%)

Memory
-45.2MiB live, 282.7MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(exp.f64 b)
✓accuracy100.0%
(+.f64 (exp.f64 b) #s(literal 1 binary64))
✓accuracy26.7%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
✓accuracy99.9%
(fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓accuracy99.7%
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))
✓accuracy78.5%
#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)))))
✓accuracy68.6%
#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)))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (*.f64 b (*.f64 b #s(literal 1/2 binary64))))))
✓accuracy78.5%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (*.f64 b (*.f64 b #s(literal 1/2 binary64)))))))
✓accuracy64.4%
#s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (*.f64 b (*.f64 b #s(literal 1/2 binary64)))))
✓accuracy48.5%
#s(approx (+ (* b (+ (* b 1/2) 1)) 2) (*.f64 b (*.f64 b #s(literal 1/2 binary64))))
✓accuracy99.9%
(fma.f64 b #s(approx (+ (* (* b b) (+ (* b (* b -1/480)) 1/48)) -1/4) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
✓accuracy78.5%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(approx (+ (* (* b b) (+ (* b (* b -1/480)) 1/48)) -1/4) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
✓accuracy53.3%
#s(approx (+ (* (* b b) (+ (* b (* b -1/480)) 1/48)) -1/4) #s(literal -1/4 binary64))
✓accuracy53.2%
#s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(approx (+ (* (* b b) (+ (* b (* b -1/480)) 1/48)) -1/4) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))
✓accuracy99.9%
(fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
✓accuracy99.9%
(fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64))
✓accuracy89.2%
#s(approx (+ 1 (exp (neg 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 2 binary64)))
✓accuracy62.9%
#s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg 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 2 binary64))))
Samples
197.0ms256×0valid
Compiler

Compiled 211 to 50 computations (76.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 163.0ms
ival-mult: 91.0ms (55.7% of total)
ival-div: 38.0ms (23.3% of total)
ival-add: 15.0ms (9.2% of total)
const: 12.0ms (7.4% of total)
ival-exp: 6.0ms (3.7% of total)
exact: 1.0ms (0.6% of total)
ival-neg: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series26.0ms (0.3%)

Memory
-18.1MiB live, 19.4MiB allocated
Counts
23 → 348
Calls
Call 1
Inputs
#<alt (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg 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 2 binary64)))))>
#<alt #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg 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 2 binary64))))>
#<alt #s(approx (+ 1 (exp (neg 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 2 binary64)))>
#<alt (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 2 binary64))>
#<alt #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(approx (+ (* (* b b) (+ (* b (* b -1/480)) 1/48)) -1/4) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))>
#<alt #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(approx (+ (* (* b b) (+ (* b (* b -1/480)) 1/48)) -1/4) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))>
#<alt (fma.f64 b #s(approx (+ (* (* b b) (+ (* b (* b -1/480)) 1/48)) -1/4) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))>
#<alt #s(approx (+ (* (* b b) (+ (* b (* b -1/480)) 1/48)) -1/4) #s(literal -1/4 binary64))>
#<alt #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (*.f64 b (*.f64 b #s(literal 1/2 binary64)))))))>
#<alt (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (*.f64 b (*.f64 b #s(literal 1/2 binary64))))))>
#<alt #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (*.f64 b (*.f64 b #s(literal 1/2 binary64)))))>
#<alt #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (*.f64 b (*.f64 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)) (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))) (+.f64 (exp.f64 b) #s(literal 1 binary64)))>
#<alt (+.f64 (exp.f64 b) #s(literal 1 binary64))>
#<alt (exp.f64 b)>
#<alt (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64))>
#<alt (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #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))>
Outputs
#<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 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (* a (- (* 1/6 (/ 1 (+ 1 (exp b)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (+ 1 (exp b))) (/ (* (- (* 1/2 (+ 1 (exp b))) 1/2) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))>
#<alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))>
#<alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))>
#<alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))>
#<alt (/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))>
#<alt (/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))>
#<alt (/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))>
#<alt (/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))>
#<alt (/ 1 (* (exp (neg a)) (+ 1 (exp a))))>
#<alt (+ (* -1 (/ b (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))>
#<alt (+ (* b (- (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))>
#<alt (+ (* b (- (* b (- (+ (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (+ (* 1/6 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 4)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3)))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))>
#<alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))>
#<alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))>
#<alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))>
#<alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))>
#<alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))>
#<alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))>
#<alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))>
#<alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* -1 (+ 1 (exp b)))))))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (+ (* -1 (+ 1 (exp b))) (* a (- (* 1/2 (+ 1 (exp b))) 1/2)))))))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (+ (* -1 (+ 1 (exp b))) (* a (- (+ (* 1/2 (+ 1 (exp b))) (* a (+ 1/6 (* -1/6 (+ 1 (exp b)))))) 1/2)))))))>
#<alt (* (exp (neg a)) (+ (exp a) (exp b)))>
#<alt (* (exp (neg a)) (+ (exp a) (exp b)))>
#<alt (* (exp (neg a)) (+ (exp a) (exp b)))>
#<alt (* (exp (neg a)) (+ (exp a) (exp b)))>
#<alt (* (exp (* -1 a)) (+ (exp a) (exp b)))>
#<alt (* (exp (* -1 a)) (+ (exp a) (exp b)))>
#<alt (* (exp (* -1 a)) (+ (exp a) (exp b)))>
#<alt (* (exp (* -1 a)) (+ (exp a) (exp b)))>
#<alt (* (exp (neg a)) (+ 1 (exp a)))>
#<alt (+ (* b (exp (neg a))) (* (exp (neg a)) (+ 1 (exp a))))>
#<alt (+ (* b (+ (exp (neg a)) (* 1/2 (* b (exp (neg a)))))) (* (exp (neg a)) (+ 1 (exp a))))>
#<alt (+ (* b (+ (exp (neg a)) (* b (+ (* 1/6 (* b (exp (neg a)))) (* 1/2 (exp (neg a))))))) (* (exp (neg a)) (+ 1 (exp a))))>
#<alt (* (exp (neg a)) (+ (exp a) (exp b)))>
#<alt (* (exp (neg a)) (+ (exp a) (exp b)))>
#<alt (* (exp (neg a)) (+ (exp a) (exp b)))>
#<alt (* (exp (neg a)) (+ (exp a) (exp b)))>
#<alt (* (exp (neg a)) (+ (exp a) (exp b)))>
#<alt (* (exp (neg a)) (+ (exp a) (exp b)))>
#<alt (* (exp (neg a)) (+ (exp a) (exp b)))>
#<alt (* (exp (neg a)) (+ (exp a) (exp b)))>
#<alt 2>
#<alt (+ 2 (* -1 a))>
#<alt (+ 2 (* a (- (* 1/2 a) 1)))>
#<alt (+ 2 (* a (- (* a (+ 1/2 (* -1/6 a))) 1)))>
#<alt (+ 1 (exp (neg a)))>
#<alt (+ 1 (exp (neg a)))>
#<alt (+ 1 (exp (neg a)))>
#<alt (+ 1 (exp (neg a)))>
#<alt (+ 1 (exp (* -1 a)))>
#<alt (+ 1 (exp (* -1 a)))>
#<alt (+ 1 (exp (* -1 a)))>
#<alt (+ 1 (exp (* -1 a)))>
#<alt 2>
#<alt (+ 2 (* -1 a))>
#<alt (+ 2 (* a (- (* 1/2 a) 1)))>
#<alt (+ 2 (* a (- (* a (+ 1/2 (* -1/6 a))) 1)))>
#<alt (* -1/6 (pow a 3))>
#<alt (* (pow a 3) (- (* 1/2 (/ 1 a)) 1/6))>
#<alt (* (pow a 3) (- (* 1/2 (/ 1 a)) (+ 1/6 (/ 1 (pow a 2)))))>
#<alt (* (pow a 3) (- (+ (* 1/2 (/ 1 a)) (* 2 (/ 1 (pow a 3)))) (+ 1/6 (/ 1 (pow a 2)))))>
#<alt (* -1/6 (pow a 3))>
#<alt (* -1 (* (pow a 3) (- 1/6 (* 1/2 (/ 1 a)))))>
#<alt (* -1 (* (pow a 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 a)) a)))))>
#<alt (* -1 (* (pow a 3) (+ 1/6 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (* 2 (/ 1 a))) a))) 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 (/ (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 (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) (+ (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 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 (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<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 (* -1/480 (pow b 5))>
#<alt (* (pow b 5) (- (* 1/48 (/ 1 (pow b 2))) 1/480))>
#<alt (* (pow b 5) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))>
#<alt (* (pow b 5) (- (+ (* 1/48 (/ 1 (pow b 2))) (* 1/2 (/ 1 (pow b 5)))) (+ 1/480 (/ 1/4 (pow b 4)))))>
#<alt (* -1/480 (pow b 5))>
#<alt (* -1 (* (pow b 5) (- 1/480 (* 1/48 (/ 1 (pow b 2))))))>
#<alt (* -1 (* (pow b 5) (- (+ 1/480 (/ 1/4 (pow b 4))) (* 1/48 (/ 1 (pow b 2))))))>
#<alt (* -1 (* (pow b 5) (- (+ 1/480 (/ 1/4 (pow b 4))) (+ (* 1/48 (/ 1 (pow b 2))) (* 1/2 (/ 1 (pow b 5)))))))>
#<alt -1/4>
#<alt (- (* 1/48 (pow b 2)) 1/4)>
#<alt (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)>
#<alt (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)>
#<alt (* -1/480 (pow b 4))>
#<alt (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))>
#<alt (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))>
#<alt (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))>
#<alt (* -1/480 (pow b 4))>
#<alt (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))>
#<alt (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))>
#<alt (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))>
#<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) (+ (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 (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) (+ (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 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 (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt 2>
#<alt (+ 2 b)>
#<alt (+ 2 (* b (+ 1 (* 1/2 b))))>
#<alt (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt 2>
#<alt (+ 2 b)>
#<alt (+ 2 (* b (+ 1 (* 1/2 b))))>
#<alt (+ 2 (* b (+ 1 (* 1/2 b))))>
#<alt (* 1/2 (pow b 2))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))>
#<alt (* 1/2 (pow b 2))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))>
#<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) (+ (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 (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) (+ (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 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 (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt 2>
#<alt (+ 2 b)>
#<alt (+ 2 (* b (+ 1 (* 1/2 b))))>
#<alt (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt 2>
#<alt (+ 2 b)>
#<alt (+ 2 (* b (+ 1 (* 1/2 b))))>
#<alt (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))>
#<alt (* 1/6 (pow b 3))>
#<alt (* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))>
#<alt (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (* 2 (/ 1 (pow b 3)))))))>
#<alt (* 1/6 (pow b 3))>
#<alt (* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))>
#<alt (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))) b)) 1/6)))>
#<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) (+ (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 (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) (+ (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 2>
#<alt (+ 2 b)>
#<alt (+ 2 (* b (+ 1 (* 1/2 b))))>
#<alt (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp 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 b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt 1/2>
#<alt (+ 1/2 (* -1/6 a))>
#<alt (+ 1/2 (* -1/6 a))>
#<alt (+ 1/2 (* -1/6 a))>
#<alt (* -1/6 a)>
#<alt (* a (- (* 1/2 (/ 1 a)) 1/6))>
#<alt (* a (- (* 1/2 (/ 1 a)) 1/6))>
#<alt (* a (- (* 1/2 (/ 1 a)) 1/6))>
#<alt (* -1/6 a)>
#<alt (* -1 (* a (- 1/6 (* 1/2 (/ 1 a)))))>
#<alt (* -1 (* a (- 1/6 (* 1/2 (/ 1 a)))))>
#<alt (* -1 (* a (- 1/6 (* 1/2 (/ 1 a)))))>
#<alt -1>
#<alt (- (* 1/2 a) 1)>
#<alt (- (* a (+ 1/2 (* -1/6 a))) 1)>
#<alt (- (* a (+ 1/2 (* -1/6 a))) 1)>
#<alt (* -1/6 (pow a 2))>
#<alt (* (pow a 2) (- (* 1/2 (/ 1 a)) 1/6))>
#<alt (* (pow a 2) (- (* 1/2 (/ 1 a)) (+ 1/6 (/ 1 (pow a 2)))))>
#<alt (* (pow a 2) (- (* 1/2 (/ 1 a)) (+ 1/6 (/ 1 (pow a 2)))))>
#<alt (* -1/6 (pow a 2))>
#<alt (* (pow a 2) (- (* 1/2 (/ 1 a)) 1/6))>
#<alt (* (pow a 2) (- (* -1 (/ (- (/ 1 a) 1/2) a)) 1/6))>
#<alt (* (pow a 2) (- (* -1 (/ (- (/ 1 a) 1/2) a)) 1/6))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/6 b))>
#<alt (+ 1/2 (* 1/6 b))>
#<alt (+ 1/2 (* 1/6 b))>
#<alt (* 1/6 b)>
#<alt (* b (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* b (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* b (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* 1/6 b)>
#<alt (* b (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* b (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* b (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt 1>
#<alt (+ 1 (* 1/2 b))>
#<alt (+ 1 (* b (+ 1/2 (* 1/6 b))))>
#<alt (+ 1 (* b (+ 1/2 (* 1/6 b))))>
#<alt (* 1/6 (pow b 2))>
#<alt (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))>
#<alt (* 1/6 (pow b 2))>
#<alt (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))>
Calls

87 calls:

TimeVariablePointExpression
0.0ms
a
@inf
(+ (* a (+ (* a (+ (* a -1/6) 1/2)) -1)) 2)
0.0ms
a
@-inf
(+ (* a (+ (* a (+ (* a -1/6) 1/2)) -1)) 2)
0.0ms
b
@-inf
(+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2)
0.0ms
a
@inf
(+ (* a (+ (* a -1/6) 1/2)) -1)
0.0ms
a
@inf
(+ (* a -1/6) 1/2)

simplify720.0ms (7%)

Memory
1.5MiB live, 680.1MiB allocated
Algorithm
1×egg-herbie
Rules
12 754×lower-fma.f64
12 754×lower-fma.f32
6 840×lower-+.f64
6 840×lower-+.f32
4 292×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03404700
19984185
231164058
082213867
Stop Event
1×iter limit
1×node limit
Counts
348 → 348
Calls
Call 1
Inputs
(/ 1 (+ 1 (exp b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (* a (- (* 1/6 (/ 1 (+ 1 (exp b)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (+ 1 (exp b))) (/ (* (- (* 1/2 (+ 1 (exp b))) 1/2) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ 1 (exp a))))
(+ (* -1 (/ b (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
(+ (* b (- (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
(+ (* b (- (* b (- (+ (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (+ (* 1/6 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 4)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3)))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(+ 1 (exp b))
(+ 1 (+ (exp b) (* a (+ 1 (* -1 (+ 1 (exp b)))))))
(+ 1 (+ (exp b) (* a (+ 1 (+ (* -1 (+ 1 (exp b))) (* a (- (* 1/2 (+ 1 (exp b))) 1/2)))))))
(+ 1 (+ (exp b) (* a (+ 1 (+ (* -1 (+ 1 (exp b))) (* a (- (+ (* 1/2 (+ 1 (exp b))) (* a (+ 1/6 (* -1/6 (+ 1 (exp b)))))) 1/2)))))))
(* (exp (neg a)) (+ (exp a) (exp b)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(* (exp (* -1 a)) (+ (exp a) (exp b)))
(* (exp (* -1 a)) (+ (exp a) (exp b)))
(* (exp (* -1 a)) (+ (exp a) (exp b)))
(* (exp (* -1 a)) (+ (exp a) (exp b)))
(* (exp (neg a)) (+ 1 (exp a)))
(+ (* b (exp (neg a))) (* (exp (neg a)) (+ 1 (exp a))))
(+ (* b (+ (exp (neg a)) (* 1/2 (* b (exp (neg a)))))) (* (exp (neg a)) (+ 1 (exp a))))
(+ (* b (+ (exp (neg a)) (* b (+ (* 1/6 (* b (exp (neg a)))) (* 1/2 (exp (neg a))))))) (* (exp (neg a)) (+ 1 (exp a))))
(* (exp (neg a)) (+ (exp a) (exp b)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(* (exp (neg a)) (+ (exp a) (exp b)))
2
(+ 2 (* -1 a))
(+ 2 (* a (- (* 1/2 a) 1)))
(+ 2 (* a (- (* a (+ 1/2 (* -1/6 a))) 1)))
(+ 1 (exp (neg a)))
(+ 1 (exp (neg a)))
(+ 1 (exp (neg a)))
(+ 1 (exp (neg a)))
(+ 1 (exp (* -1 a)))
(+ 1 (exp (* -1 a)))
(+ 1 (exp (* -1 a)))
(+ 1 (exp (* -1 a)))
2
(+ 2 (* -1 a))
(+ 2 (* a (- (* 1/2 a) 1)))
(+ 2 (* a (- (* a (+ 1/2 (* -1/6 a))) 1)))
(* -1/6 (pow a 3))
(* (pow a 3) (- (* 1/2 (/ 1 a)) 1/6))
(* (pow a 3) (- (* 1/2 (/ 1 a)) (+ 1/6 (/ 1 (pow a 2)))))
(* (pow a 3) (- (+ (* 1/2 (/ 1 a)) (* 2 (/ 1 (pow a 3)))) (+ 1/6 (/ 1 (pow a 2)))))
(* -1/6 (pow a 3))
(* -1 (* (pow a 3) (- 1/6 (* 1/2 (/ 1 a)))))
(* -1 (* (pow a 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 a)) a)))))
(* -1 (* (pow a 3) (+ 1/6 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (* 2 (/ 1 a))) a))) 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))))
(/ (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 (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) (+ (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)))
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)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
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)))
(* -1/480 (pow b 5))
(* (pow b 5) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* (pow b 5) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))
(* (pow b 5) (- (+ (* 1/48 (/ 1 (pow b 2))) (* 1/2 (/ 1 (pow b 5)))) (+ 1/480 (/ 1/4 (pow b 4)))))
(* -1/480 (pow b 5))
(* -1 (* (pow b 5) (- 1/480 (* 1/48 (/ 1 (pow b 2))))))
(* -1 (* (pow b 5) (- (+ 1/480 (/ 1/4 (pow b 4))) (* 1/48 (/ 1 (pow b 2))))))
(* -1 (* (pow b 5) (- (+ 1/480 (/ 1/4 (pow b 4))) (+ (* 1/48 (/ 1 (pow b 2))) (* 1/2 (/ 1 (pow b 5)))))))
-1/4
(- (* 1/48 (pow b 2)) 1/4)
(- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)
(- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)
(* -1/480 (pow b 4))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))
(* -1/480 (pow b 4))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))
(/ 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 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ 1 (exp a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(/ (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)))
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)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
2
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
2
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* 1/2 b))))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(/ 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 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ 1 (exp a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(/ (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)))
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)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
2
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
2
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 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)))))))
(* 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)))
(/ 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 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ 1 (exp a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(/ (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)))
2
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
1
(+ 1 b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
1/2
(+ 1/2 (* -1/6 a))
(+ 1/2 (* -1/6 a))
(+ 1/2 (* -1/6 a))
(* -1/6 a)
(* a (- (* 1/2 (/ 1 a)) 1/6))
(* a (- (* 1/2 (/ 1 a)) 1/6))
(* a (- (* 1/2 (/ 1 a)) 1/6))
(* -1/6 a)
(* -1 (* a (- 1/6 (* 1/2 (/ 1 a)))))
(* -1 (* a (- 1/6 (* 1/2 (/ 1 a)))))
(* -1 (* a (- 1/6 (* 1/2 (/ 1 a)))))
-1
(- (* 1/2 a) 1)
(- (* a (+ 1/2 (* -1/6 a))) 1)
(- (* a (+ 1/2 (* -1/6 a))) 1)
(* -1/6 (pow a 2))
(* (pow a 2) (- (* 1/2 (/ 1 a)) 1/6))
(* (pow a 2) (- (* 1/2 (/ 1 a)) (+ 1/6 (/ 1 (pow a 2)))))
(* (pow a 2) (- (* 1/2 (/ 1 a)) (+ 1/6 (/ 1 (pow a 2)))))
(* -1/6 (pow a 2))
(* (pow a 2) (- (* 1/2 (/ 1 a)) 1/6))
(* (pow a 2) (- (* -1 (/ (- (/ 1 a) 1/2) a)) 1/6))
(* (pow a 2) (- (* -1 (/ (- (/ 1 a) 1/2) a)) 1/6))
1/2
(+ 1/2 (* 1/6 b))
(+ 1/2 (* 1/6 b))
(+ 1/2 (* 1/6 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 b)
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(* b (+ 1/6 (* 1/2 (/ 1 b))))
1
(+ 1 (* 1/2 b))
(+ 1 (* b (+ 1/2 (* 1/6 b))))
(+ 1 (* b (+ 1/2 (* 1/6 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)))))
(* 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)))))
Outputs
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(+ (* a (- (+ (* a (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 a (+.f64 (fma.f64 a (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (fma.f64 (neg.f64 (exp.f64 b)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 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) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (* a (- (* 1/6 (/ 1 (+ 1 (exp b)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (+ 1 (exp b))) (/ (* (- (* 1/2 (+ 1 (exp b))) 1/2) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 a (fma.f64 a (-.f64 (fma.f64 a (-.f64 (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (fma.f64 (neg.f64 (exp.f64 b)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (fma.f64 (neg.f64 (exp.f64 b)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (fma.f64 (fma.f64 (exp.f64 b) #s(literal 1/2 binary64) #s(literal 0 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (/.f64 #s(literal 1/6 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 2 binary64)))) (fma.f64 (neg.f64 (exp.f64 b)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (neg a)) (+ 1 (exp a))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
(+ (* -1 (/ b (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) (/.f64 b (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))))
(+ (* b (- (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
(fma.f64 b (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
(+ (* b (- (* b (- (+ (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (+ (* 1/6 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 4)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3)))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
(fma.f64 b (fma.f64 b (fma.f64 b (+.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal -1/6 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 4 binary64))))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (+ (exp b) (* a (+ 1 (* -1 (+ 1 (exp b)))))))
(+.f64 #s(literal 1 binary64) (fma.f64 a (neg.f64 (exp.f64 b)) (exp.f64 b)))
(+ 1 (+ (exp b) (* a (+ 1 (+ (* -1 (+ 1 (exp b))) (* a (- (* 1/2 (+ 1 (exp b))) 1/2)))))))
(+.f64 (exp.f64 b) (fma.f64 a (fma.f64 a (fma.f64 (exp.f64 b) #s(literal 1/2 binary64) #s(literal 0 binary64)) (neg.f64 (exp.f64 b))) #s(literal 1 binary64)))
(+ 1 (+ (exp b) (* a (+ 1 (+ (* -1 (+ 1 (exp b))) (* a (- (+ (* 1/2 (+ 1 (exp b))) (* a (+ 1/6 (* -1/6 (+ 1 (exp b)))))) 1/2)))))))
(+.f64 (exp.f64 b) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) (neg.f64 (exp.f64 b))) #s(literal 1 binary64)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (* -1 a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (* -1 a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (* -1 a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (* -1 a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (neg a)) (+ 1 (exp a)))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
(+ (* b (exp (neg a))) (* (exp (neg a)) (+ 1 (exp a))))
(fma.f64 (exp.f64 (neg.f64 a)) (+.f64 #s(literal 1 binary64) b) #s(literal 1 binary64))
(+ (* b (+ (exp (neg a)) (* 1/2 (* b (exp (neg a)))))) (* (exp (neg a)) (+ 1 (exp a))))
(+.f64 (fma.f64 (exp.f64 (neg.f64 a)) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) #s(literal 1 binary64)) (exp.f64 (neg.f64 a)))
(+ (* b (+ (exp (neg a)) (* b (+ (* 1/6 (* b (exp (neg a)))) (* 1/2 (exp (neg a))))))) (* (exp (neg a)) (+ 1 (exp a))))
(+.f64 (fma.f64 b (*.f64 (exp.f64 (neg.f64 a)) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (exp.f64 (neg.f64 a))) #s(literal 1 binary64))
(* (exp (neg a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
2
#s(literal 2 binary64)
(+ 2 (* -1 a))
(-.f64 #s(literal 2 binary64) a)
(+ 2 (* a (- (* 1/2 a) 1)))
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))
(+ 2 (* a (- (* a (+ 1/2 (* -1/6 a))) 1)))
(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 2 binary64))
(+ 1 (exp (neg a)))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
(+ 1 (exp (neg a)))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
(+ 1 (exp (neg a)))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
(+ 1 (exp (neg a)))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
(+ 1 (exp (* -1 a)))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
(+ 1 (exp (* -1 a)))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
(+ 1 (exp (* -1 a)))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
(+ 1 (exp (* -1 a)))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
2
#s(literal 2 binary64)
(+ 2 (* -1 a))
(-.f64 #s(literal 2 binary64) a)
(+ 2 (* a (- (* 1/2 a) 1)))
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))
(+ 2 (* a (- (* a (+ 1/2 (* -1/6 a))) 1)))
(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 2 binary64))
(* -1/6 (pow a 3))
(*.f64 a (*.f64 #s(literal -1/6 binary64) (*.f64 a a)))
(* (pow a 3) (- (* 1/2 (/ 1 a)) 1/6))
(*.f64 a (*.f64 a (*.f64 a (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) a)))))
(* (pow a 3) (- (* 1/2 (/ 1 a)) (+ 1/6 (/ 1 (pow a 2)))))
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(* (pow a 3) (- (+ (* 1/2 (/ 1 a)) (* 2 (/ 1 (pow a 3)))) (+ 1/6 (/ 1 (pow a 2)))))
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(* -1/6 (pow a 3))
(*.f64 a (*.f64 #s(literal -1/6 binary64) (*.f64 a a)))
(* -1 (* (pow a 3) (- 1/6 (* 1/2 (/ 1 a)))))
(*.f64 (neg.f64 a) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) a))))
(* -1 (* (pow a 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 a)) a)))))
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(* -1 (* (pow a 3) (+ 1/6 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (* 2 (/ 1 a))) a))) a)))))
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(/ 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))))
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(/ (exp a) (+ (exp a) (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ (exp a) (+ 1 (exp a)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
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(/ (exp a) (+ (exp a) (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ (exp a) (+ (exp a) (exp b)))
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(/ (exp a) (+ (exp a) (exp b)))
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(/ (exp a) (+ (exp a) (exp b)))
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(/ (exp a) (+ (exp a) (exp b)))
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(/ (exp a) (+ (exp a) (exp b)))
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(/ (exp a) (+ (exp a) (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
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)))
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(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
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(/ 1 (+ 1 (exp b)))
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(/ 1 (+ 1 (exp b)))
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(/ 1 (+ 1 (exp b)))
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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)))
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(* -1/480 (pow b 5))
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(* -1/480 (pow b 5))
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-1/4
#s(literal -1/4 binary64)
(- (* 1/48 (pow b 2)) 1/4)
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(* -1/480 (pow b 4))
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(/ 1 (+ 1 (exp b)))
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(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
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(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
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(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
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 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
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(+ 1 (exp b))
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(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
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))
(* 1/6 (pow b 3))
(*.f64 b (*.f64 b (*.f64 b #s(literal 1/6 binary64))))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(*.f64 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(fma.f64 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b)
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (* 2 (/ 1 (pow b 3)))))))
(*.f64 b (+.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 b (*.f64 b b))) #s(literal 1/6 binary64)))))
(* 1/6 (pow b 3))
(*.f64 b (*.f64 b (*.f64 b #s(literal 1/6 binary64))))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(*.f64 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))
(neg.f64 (*.f64 (*.f64 b (*.f64 b b)) (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b)) b))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))) b)) 1/6)))
(*.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b)))) b)) (neg.f64 (*.f64 b (*.f64 b 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 a (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
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(/ (exp a) (+ (exp a) (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ (exp a) (+ (exp a) (exp b)))
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(/ (exp a) (+ (exp a) (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ (exp a) (+ 1 (exp a)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) (/.f64 b (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(fma.f64 b (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(fma.f64 b (fma.f64 b (neg.f64 (fma.f64 b (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (+.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/6 binary64)) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64))) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 a))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
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 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
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 b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/6 a))
(fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* -1/6 a))
(fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* -1/6 a))
(fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(* -1/6 a)
(*.f64 a #s(literal -1/6 binary64))
(* a (- (* 1/2 (/ 1 a)) 1/6))
(*.f64 a (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) a)))
(* a (- (* 1/2 (/ 1 a)) 1/6))
(*.f64 a (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) a)))
(* a (- (* 1/2 (/ 1 a)) 1/6))
(*.f64 a (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) a)))
(* -1/6 a)
(*.f64 a #s(literal -1/6 binary64))
(* -1 (* a (- 1/6 (* 1/2 (/ 1 a)))))
(neg.f64 (*.f64 a (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) a))))
(* -1 (* a (- 1/6 (* 1/2 (/ 1 a)))))
(neg.f64 (*.f64 a (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) a))))
(* -1 (* a (- 1/6 (* 1/2 (/ 1 a)))))
(neg.f64 (*.f64 a (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) a))))
-1
#s(literal -1 binary64)
(- (* 1/2 a) 1)
(fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64))
(- (* a (+ 1/2 (* -1/6 a))) 1)
(fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(- (* a (+ 1/2 (* -1/6 a))) 1)
(fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(* -1/6 (pow a 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 a a))
(* (pow a 2) (- (* 1/2 (/ 1 a)) 1/6))
(*.f64 a (*.f64 a (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) a))))
(* (pow a 2) (- (* 1/2 (/ 1 a)) (+ 1/6 (/ 1 (pow a 2)))))
(*.f64 (*.f64 a a) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) a)) a)))
(* (pow a 2) (- (* 1/2 (/ 1 a)) (+ 1/6 (/ 1 (pow a 2)))))
(*.f64 (*.f64 a a) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) a)) a)))
(* -1/6 (pow a 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 a a))
(* (pow a 2) (- (* 1/2 (/ 1 a)) 1/6))
(*.f64 a (*.f64 a (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) a))))
(* (pow a 2) (- (* -1 (/ (- (/ 1 a) 1/2) a)) 1/6))
(*.f64 (*.f64 a a) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) a)) a)))
(* (pow a 2) (- (* -1 (/ (- (/ 1 a) 1/2) a)) 1/6))
(*.f64 (*.f64 a a) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) a)) a)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 b))
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 b))
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 b))
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* 1/6 b)
(*.f64 b #s(literal 1/6 binary64))
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* 1/6 b)
(*.f64 b #s(literal 1/6 binary64))
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 b))
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* b (+ 1/2 (* 1/6 b))))
(fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* b (+ 1/2 (* 1/6 b))))
(fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/6 (pow b 2))
(*.f64 b (*.f64 b #s(literal 1/6 binary64)))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/6 (pow b 2))
(*.f64 b (*.f64 b #s(literal 1/6 binary64)))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))

rewrite542.0ms (5.3%)

Memory
-6.2MiB live, 504.9MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 326×lower-fma.f32
4 312×lower-fma.f64
3 788×lower-*.f32
3 784×lower-*.f64
3 606×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056369
078369
1348367
22599365
08581349
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
23 → 360
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg 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 2 binary64)))))
#s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg 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 2 binary64))))
#s(approx (+ 1 (exp (neg 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 2 binary64)))
(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 2 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(approx (+ (* (* b b) (+ (* b (* b -1/480)) 1/48)) -1/4) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(approx (+ (* (* b b) (+ (* b (* b -1/480)) 1/48)) -1/4) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))
(fma.f64 b #s(approx (+ (* (* b b) (+ (* b (* b -1/480)) 1/48)) -1/4) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
#s(approx (+ (* (* b b) (+ (* b (* b -1/480)) 1/48)) -1/4) #s(literal -1/4 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (*.f64 b (*.f64 b #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (*.f64 b (*.f64 b #s(literal 1/2 binary64))))))
#s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (*.f64 b (*.f64 b #s(literal 1/2 binary64)))))
#s(approx (+ (* b (+ (* b 1/2) 1)) 2) (*.f64 b (*.f64 b #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 (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))) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
(+.f64 (exp.f64 b) #s(literal 1 binary64))
(exp.f64 b)
(fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 a (fma.f64 a #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))
(fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
Outputs
(exp.f64 (*.f64 (log.f64 #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg 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 2 binary64))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg 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 2 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg 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 2 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg 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 2 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg 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 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg 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 2 binary64))))))))
(pow.f64 #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg 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 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (neg.f64 (neg.f64 #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg 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 2 binary64)))))) #s(literal -1 binary64))
(pow.f64 (pow.f64 #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg 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 2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg 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 2 binary64)))) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg 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 2 binary64))))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg 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 2 binary64)))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg 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 2 binary64))))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg 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 2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg 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 2 binary64))))) #s(literal 1 binary64))
(*.f64 (pow.f64 #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg 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 2 binary64)))) #s(literal -1/2 binary64)) (pow.f64 #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg 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 2 binary64)))) #s(literal -1/2 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg 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 2 binary64))))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg 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 2 binary64)))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg 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 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg 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 2 binary64)))))))
(/.f64 #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg 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 2 binary64)))) #s(literal 1 binary64))
(/.f64 (neg.f64 #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg 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 2 binary64))))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg 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 2 binary64)))))) #s(literal 1 binary64))
#s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg 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 2 binary64))))
(pow.f64 #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg 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 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg 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 2 binary64))))) #s(literal -1 binary64))
(*.f64 #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg 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 2 binary64)))) #s(literal 1 binary64))
#s(approx (+ 1 (exp (neg 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 2 binary64)))
(+.f64 #s(literal 2 binary64) (*.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(+.f64 (*.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))
(+.f64 (*.f64 a (*.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) (+.f64 (neg.f64 a) #s(literal 2 binary64)))
(+.f64 (+.f64 #s(literal 2 binary64) (*.f64 a (*.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64))))) (neg.f64 a))
(-.f64 (/.f64 (*.f64 a (*.f64 (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #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)) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (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 -2 binary64))))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (*.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (/.f64 (*.f64 a (*.f64 (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (-.f64 #s(literal 2 binary64) (*.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #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)) #s(literal 2 binary64))
(fma.f64 a (*.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (+.f64 (neg.f64 a) #s(literal 2 binary64)))
(fma.f64 (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 a a) (+.f64 (neg.f64 a) #s(literal 2 binary64)))
(fma.f64 (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) a #s(literal 2 binary64))
(fma.f64 (*.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64))) a (+.f64 (neg.f64 a) #s(literal 2 binary64)))
(fma.f64 (*.f64 a a) (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (+.f64 (neg.f64 a) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (*.f64 (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (-.f64 #s(literal 4 binary64) (*.f64 a (*.f64 (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))))) (fma.f64 (*.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (*.f64 a (*.f64 (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #s(literal 8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (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 -2 binary64)) (fma.f64 (*.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (*.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal -4 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 a (*.f64 (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (-.f64 #s(literal 4 binary64) (*.f64 a (*.f64 (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))))) (fma.f64 (*.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (*.f64 a (*.f64 (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #s(literal 8 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (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 -2 binary64)) (fma.f64 (*.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (*.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal -4 binary64)))))
(/.f64 (fma.f64 (*.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (*.f64 a (*.f64 (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #s(literal 8 binary64)) (fma.f64 a (*.f64 (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (-.f64 #s(literal 4 binary64) (*.f64 a (*.f64 (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (*.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (*.f64 a (*.f64 (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 a (*.f64 (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (*.f64 a (*.f64 (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))))))
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(/.f64 (fma.f64 (*.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64)) (*.f64 b (*.f64 b b)) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))))) (fma.f64 (*.f64 (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 (*.f64 b b) #s(literal 1/6 binary64)) (-.f64 (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 b b) #s(literal 1/6 binary64)) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 b (*.f64 b b)))) (fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) (-.f64 (*.f64 (*.f64 b b) #s(literal 1/4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) (*.f64 b #s(literal 1/2 binary64))))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 b b) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (fma.f64 (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 b b) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 b b) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))
(*.f64 (fma.f64 (*.f64 b b) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (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))))

eval111.0ms (1.1%)

Memory
5.2MiB live, 206.8MiB allocated
Compiler

Compiled 13 082 to 1 448 computations (88.9% saved)

prune99.0ms (1%)

Memory
16.8MiB live, 294.7MiB allocated
Pruning

42 alts after pruning (31 fresh and 11 done)

PrunedKeptTotal
New68424708
Fresh3710
Picked055
Done066
Total68742729
Accuracy
100.0%
Counts
729 → 42
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓62.9%
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
53.4%
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 a a) (+.f64 (neg.f64 a) #s(literal 2 binary64))))))
✓53.4%
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg 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 2 binary64)))))
53.4%
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a (/.f64 (fma.f64 (*.f64 a a) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 a #s(literal -1/6 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64)) #s(literal 2 binary64)))))
53.4%
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a #s(literal -1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 (*.f64 a a) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))) #s(literal -1 binary64)) #s(literal 2 binary64)))))
53.4%
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal -1/6 binary64) #s(literal -1/2 binary64)))) #s(literal -1 binary64)) #s(literal 2 binary64)))))
53.4%
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(approx (+ (* a -1/6) 1/2) (*.f64 a #s(literal -1/6 binary64))) #s(literal -1 binary64)) #s(literal 2 binary64)))))
49.4%
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(approx (+ (* a -1/6) 1/2) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))))
41.0%
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (/.f64 (fma.f64 (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))))
53.3%
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a #s(approx (+ (* a (+ (* a -1/6) 1/2)) -1) (*.f64 #s(literal -1/6 binary64) (*.f64 a a))) #s(literal 2 binary64)))))
39.3%
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (/.f64 (fma.f64 (*.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (*.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal -4 binary64)) (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 -2 binary64))))))
34.8%
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a))))
30.6%
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) #s(approx (+ (* a (+ (* a (+ (* a -1/6) 1/2)) -1)) 2) (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) a)) a)) a)) (neg.f64 (*.f64 a (*.f64 a a))))))))
21.7%
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) #s(approx (+ (* a (+ (* a (+ (* a -1/6) 1/2)) -1)) 2) (*.f64 a (*.f64 (*.f64 a a) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) a)) a))))))))
21.5%
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) #s(approx (+ (* a (+ (* a (+ (* a -1/6) 1/2)) -1)) 2) (*.f64 a (*.f64 #s(literal -1/6 binary64) (*.f64 a a)))))))
51.2%
#s(approx (/ (+ (* (exp a) (- (exp (+ b b)) (exp (+ a b)))) (exp (* a 3))) (+ (exp (* a 3)) (exp (* b 3)))) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 b))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64))))))
✓78.5%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
✓47.6%
#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)))))
47.6%
#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)))))
36.4%
#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 (-.f64 (*.f64 (*.f64 (*.f64 b b) #s(literal 1/36 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
47.6%
#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)) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
✓43.1%
#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)))))
38.9%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (/.f64 (fma.f64 (*.f64 b b) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (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)))))
38.9%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (*.f64 (fma.f64 (*.f64 b b) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (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(literal 2 binary64)))))
46.9%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
35.9%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b) (fma.f64 (*.f64 b 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))))))
33.4%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 b b #s(literal 4 binary64)) (+.f64 b #s(literal -2 binary64)))))))
35.9%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.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 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b) (fma.f64 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b) #s(literal -4 binary64)))))))
✓32.0%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
18.8%
#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)))))
19.0%
#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 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))
30.4%
#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 (/.f64 #s(literal 2 binary64) (*.f64 b (*.f64 b b))) #s(literal 1/6 binary64)))))))))
18.4%
#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))))))))
14.3%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)))))
✓14.6%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (*.f64 b (*.f64 b #s(literal 1/2 binary64)))))))
✓26.7%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
✓31.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (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))))
31.1%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 (*.f64 b b) #s(approx (+ (* b (* b -1/480)) 1/48) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
✓32.2%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(approx (+ (* (* b b) (+ (* b (* b -1/480)) 1/48)) -1/4) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
31.0%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) (*.f64 b (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 (*.f64 b 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))))))
20.5%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b (+ (* (* b b) (+ (* b (* b -1/480)) 1/48)) -1/4)) 1/2) (*.f64 #s(literal -1/480 binary64) (pow.f64 b #s(literal 5 binary64))))))
✓34.3%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))
Compiler

Compiled 1 610 to 719 computations (55.3% saved)

regimes80.0ms (0.8%)

Memory
-25.7MiB live, 176.2MiB allocated
Counts
54 → 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 (/ 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))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(approx (+ (* (* b b) (+ (* b (* b -1/480)) 1/48)) -1/4) #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(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #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 (fma.f64 (*.f64 b b) #s(approx (+ (* b (* b -1/480)) 1/48) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (*.f64 b (*.f64 b #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 1/2) 1)) 2) (fma.f64 b (*.f64 b #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 #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(approx (+ (* a -1/6) 1/2) #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))))))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) #s(approx (+ (* a (+ (* a (+ (* a -1/6) 1/2)) -1)) 2) (*.f64 a (*.f64 #s(literal -1/6 binary64) (*.f64 a a)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (+.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -1/8 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 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a #s(approx (+ (* a (+ (* a -1/6) 1/2)) -1) (*.f64 #s(literal -1/6 binary64) (*.f64 a a))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (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))))
#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 #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(approx (+ (* a -1/6) 1/2) (*.f64 a #s(literal -1/6 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 (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 (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg 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 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 a a) (+.f64 (neg.f64 a) #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 (/.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)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a (/.f64 (fma.f64 (*.f64 a a) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 a #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 (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) #s(approx (+ (* a (+ (* a (+ (* a -1/6) 1/2)) -1)) 2) (*.f64 a (*.f64 (*.f64 a a) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) a)) a))))))))
#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)) (/.f64 #s(literal 1 binary64) (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 (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a #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 (/.f64 #s(literal 2 binary64) (*.f64 b (*.f64 b b))) #s(literal 1/6 binary64)))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 b b #s(literal 4 binary64)) (+.f64 b #s(literal -2 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a #s(literal -1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 (*.f64 a a) #s(literal 1/36 binary64) #s(literal -1/4 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 (/.f64 (fma.f64 (*.f64 b b) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (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)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (/.f64 (fma.f64 (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 a (fma.f64 a #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 (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) #s(approx (+ (* a (+ (* a (+ (* a -1/6) 1/2)) -1)) 2) (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) a)) a)) a)) (neg.f64 (*.f64 a (*.f64 a a))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (*.f64 (fma.f64 (*.f64 b b) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (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(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 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b) (fma.f64 (*.f64 b 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 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (/.f64 (fma.f64 (*.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (*.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal -4 binary64)) (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 -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 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 b b) #s(literal 1/36 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 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)) (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal 64 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 b (*.f64 b b)) #s(literal 8 binary64)) (-.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b #s(literal 2 binary64))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.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 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b) (fma.f64 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b) #s(literal -4 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))) #s(approx (/ 1 (+ 1 (exp b))) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) (*.f64 b (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 (*.f64 b 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))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b (+ (* (* b b) (+ (* b (* b -1/480)) 1/48)) -1/4)) 1/2) (*.f64 #s(literal -1/480 binary64) (pow.f64 b #s(literal 5 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 (*.f64 b #s(literal 1/2 binary64)) b) (*.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)) #s(literal 8 binary64)) (-.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)))))))
#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 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
(/.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)))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))))
#s(approx (/ (+ (* (exp a) (- (exp (+ b b)) (exp (+ a b)))) (exp (* a 3))) (+ (exp (* a 3)) (exp (* b 3)))) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 b))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(/.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:

16.0ms
b
15.0ms
a
15.0ms
(exp.f64 b)
13.0ms
(exp.f64 a)
13.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Results
AccuracySegmentsBranch
98.4%1a
98.4%1b
98.4%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
98.4%1(exp.f64 a)
98.4%1(exp.f64 b)
Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes67.0ms (0.7%)

Memory
24.4MiB live, 140.6MiB allocated
Counts
49 → 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 (/ 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))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(approx (+ (* (* b b) (+ (* b (* b -1/480)) 1/48)) -1/4) #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(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #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 (fma.f64 (*.f64 b b) #s(approx (+ (* b (* b -1/480)) 1/48) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (*.f64 b (*.f64 b #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 1/2) 1)) 2) (fma.f64 b (*.f64 b #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 #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(approx (+ (* a -1/6) 1/2) #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))))))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) #s(approx (+ (* a (+ (* a (+ (* a -1/6) 1/2)) -1)) 2) (*.f64 a (*.f64 #s(literal -1/6 binary64) (*.f64 a a)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (+.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -1/8 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 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a #s(approx (+ (* a (+ (* a -1/6) 1/2)) -1) (*.f64 #s(literal -1/6 binary64) (*.f64 a a))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (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))))
#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 #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(approx (+ (* a -1/6) 1/2) (*.f64 a #s(literal -1/6 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 (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 (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg 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 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 a a) (+.f64 (neg.f64 a) #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 (/.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)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a (/.f64 (fma.f64 (*.f64 a a) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 a #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 (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) #s(approx (+ (* a (+ (* a (+ (* a -1/6) 1/2)) -1)) 2) (*.f64 a (*.f64 (*.f64 a a) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) a)) a))))))))
#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)) (/.f64 #s(literal 1 binary64) (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 (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a #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 (/.f64 #s(literal 2 binary64) (*.f64 b (*.f64 b b))) #s(literal 1/6 binary64)))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 b b #s(literal 4 binary64)) (+.f64 b #s(literal -2 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a #s(literal -1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 (*.f64 a a) #s(literal 1/36 binary64) #s(literal -1/4 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 (/.f64 (fma.f64 (*.f64 b b) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (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)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (/.f64 (fma.f64 (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 a (fma.f64 a #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 (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) #s(approx (+ (* a (+ (* a (+ (* a -1/6) 1/2)) -1)) 2) (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) a)) a)) a)) (neg.f64 (*.f64 a (*.f64 a a))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (*.f64 (fma.f64 (*.f64 b b) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (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(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 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b) (fma.f64 (*.f64 b 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 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (/.f64 (fma.f64 (*.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (*.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal -4 binary64)) (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 -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 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 b b) #s(literal 1/36 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 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)) (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal 64 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 b (*.f64 b b)) #s(literal 8 binary64)) (-.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b #s(literal 2 binary64))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.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 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b) (fma.f64 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b) #s(literal -4 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))) #s(approx (/ 1 (+ 1 (exp b))) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) (*.f64 b (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 (*.f64 b 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))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b (+ (* (* b b) (+ (* b (* b -1/480)) 1/48)) -1/4)) 1/2) (*.f64 #s(literal -1/480 binary64) (pow.f64 b #s(literal 5 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 (*.f64 b #s(literal 1/2 binary64)) b) (*.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)) #s(literal 8 binary64)) (-.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)))))))
#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 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
(/.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:

15.0ms
a
15.0ms
b
12.0ms
(exp.f64 a)
11.0ms
(exp.f64 b)
11.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Results
AccuracySegmentsBranch
98.9%2a
99.6%3b
80.8%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
98.9%2(exp.f64 a)
99.6%3(exp.f64 b)
Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes58.0ms (0.6%)

Memory
-3.9MiB live, 149.1MiB allocated
Counts
46 → 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 (/ 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))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(approx (+ (* (* b b) (+ (* b (* b -1/480)) 1/48)) -1/4) #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(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #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 (fma.f64 (*.f64 b b) #s(approx (+ (* b (* b -1/480)) 1/48) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (*.f64 b (*.f64 b #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 1/2) 1)) 2) (fma.f64 b (*.f64 b #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 #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(approx (+ (* a -1/6) 1/2) #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))))))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) #s(approx (+ (* a (+ (* a (+ (* a -1/6) 1/2)) -1)) 2) (*.f64 a (*.f64 #s(literal -1/6 binary64) (*.f64 a a)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (+.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -1/8 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 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a #s(approx (+ (* a (+ (* a -1/6) 1/2)) -1) (*.f64 #s(literal -1/6 binary64) (*.f64 a a))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (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))))
#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 #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(approx (+ (* a -1/6) 1/2) (*.f64 a #s(literal -1/6 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 (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 (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg 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 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 a a) (+.f64 (neg.f64 a) #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 (/.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)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a (/.f64 (fma.f64 (*.f64 a a) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 a #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 (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) #s(approx (+ (* a (+ (* a (+ (* a -1/6) 1/2)) -1)) 2) (*.f64 a (*.f64 (*.f64 a a) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) a)) a))))))))
#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)) (/.f64 #s(literal 1 binary64) (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 (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a #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 (/.f64 #s(literal 2 binary64) (*.f64 b (*.f64 b b))) #s(literal 1/6 binary64)))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 b b #s(literal 4 binary64)) (+.f64 b #s(literal -2 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a #s(literal -1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 (*.f64 a a) #s(literal 1/36 binary64) #s(literal -1/4 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 (/.f64 (fma.f64 (*.f64 b b) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (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)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (/.f64 (fma.f64 (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 a (fma.f64 a #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 (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) #s(approx (+ (* a (+ (* a (+ (* a -1/6) 1/2)) -1)) 2) (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) a)) a)) a)) (neg.f64 (*.f64 a (*.f64 a a))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (*.f64 (fma.f64 (*.f64 b b) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (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(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 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b) (fma.f64 (*.f64 b 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 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (/.f64 (fma.f64 (*.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (*.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal -4 binary64)) (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 -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 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 b b) #s(literal 1/36 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 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)) (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal 64 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 b (*.f64 b b)) #s(literal 8 binary64)) (-.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b #s(literal 2 binary64))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.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 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b) (fma.f64 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b) #s(literal -4 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))) #s(approx (/ 1 (+ 1 (exp b))) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) (*.f64 b (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 (*.f64 b 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))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b (+ (* (* b b) (+ (* b (* b -1/480)) 1/48)) -1/4)) 1/2) (*.f64 #s(literal -1/480 binary64) (pow.f64 b #s(literal 5 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 (*.f64 b #s(literal 1/2 binary64)) b) (*.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)) #s(literal 8 binary64)) (-.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) #s(approx (+ (* a (+ (* a (+ (* a -1/6) 1/2)) -1)) 2) (*.f64 a (*.f64 #s(literal -1/6 binary64) (*.f64 a a)))))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (/.f64 (fma.f64 (*.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (*.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal -4 binary64)) (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 -2 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:

14.0ms
a
14.0ms
b
14.0ms
(exp.f64 a)
13.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
94.1%3b
94.1%3(exp.f64 b)
97.4%3a
90.1%2(exp.f64 a)
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes54.0ms (0.5%)

Memory
9.6MiB live, 129.7MiB allocated
Counts
45 → 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 (/ 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))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(approx (+ (* (* b b) (+ (* b (* b -1/480)) 1/48)) -1/4) #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(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #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 (fma.f64 (*.f64 b b) #s(approx (+ (* b (* b -1/480)) 1/48) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (*.f64 b (*.f64 b #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 1/2) 1)) 2) (fma.f64 b (*.f64 b #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 #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(approx (+ (* a -1/6) 1/2) #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))))))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) #s(approx (+ (* a (+ (* a (+ (* a -1/6) 1/2)) -1)) 2) (*.f64 a (*.f64 #s(literal -1/6 binary64) (*.f64 a a)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (+.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -1/8 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 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a #s(approx (+ (* a (+ (* a -1/6) 1/2)) -1) (*.f64 #s(literal -1/6 binary64) (*.f64 a a))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (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))))
#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 #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(approx (+ (* a -1/6) 1/2) (*.f64 a #s(literal -1/6 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 (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 (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg 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 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 a a) (+.f64 (neg.f64 a) #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 (/.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)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a (/.f64 (fma.f64 (*.f64 a a) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 a #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 (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) #s(approx (+ (* a (+ (* a (+ (* a -1/6) 1/2)) -1)) 2) (*.f64 a (*.f64 (*.f64 a a) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) a)) a))))))))
#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)) (/.f64 #s(literal 1 binary64) (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 (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a #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 (/.f64 #s(literal 2 binary64) (*.f64 b (*.f64 b b))) #s(literal 1/6 binary64)))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 b b #s(literal 4 binary64)) (+.f64 b #s(literal -2 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a #s(literal -1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 (*.f64 a a) #s(literal 1/36 binary64) #s(literal -1/4 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 (/.f64 (fma.f64 (*.f64 b b) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (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)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (/.f64 (fma.f64 (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 a (fma.f64 a #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 (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) #s(approx (+ (* a (+ (* a (+ (* a -1/6) 1/2)) -1)) 2) (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) a)) a)) a)) (neg.f64 (*.f64 a (*.f64 a a))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (*.f64 (fma.f64 (*.f64 b b) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (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(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 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b) (fma.f64 (*.f64 b 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 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (/.f64 (fma.f64 (*.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (*.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal -4 binary64)) (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 -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 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 b b) #s(literal 1/36 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 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)) (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal 64 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 b (*.f64 b b)) #s(literal 8 binary64)) (-.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b #s(literal 2 binary64))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.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 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b) (fma.f64 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b) #s(literal -4 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))) #s(approx (/ 1 (+ 1 (exp b))) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) (*.f64 b (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 (*.f64 b 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))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b (+ (* (* b b) (+ (* b (* b -1/480)) 1/48)) -1/4)) 1/2) (*.f64 #s(literal -1/480 binary64) (pow.f64 b #s(literal 5 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 (*.f64 b #s(literal 1/2 binary64)) b) (*.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)) #s(literal 8 binary64)) (-.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)))))))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(approx (+ (* a -1/6) 1/2) (*.f64 a #s(literal -1/6 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 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b) (fma.f64 (*.f64 b 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:

16.0ms
a
14.0ms
b
11.0ms
(exp.f64 a)
10.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
63.0%2(exp.f64 a)
88.0%4b
82.5%3(exp.f64 b)
73.5%5a
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes58.0ms (0.6%)

Memory
2.4MiB live, 83.8MiB allocated
Counts
41 → 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 (/ 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))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(approx (+ (* (* b b) (+ (* b (* b -1/480)) 1/48)) -1/4) #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(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #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 (fma.f64 (*.f64 b b) #s(approx (+ (* b (* b -1/480)) 1/48) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (*.f64 b (*.f64 b #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 1/2) 1)) 2) (fma.f64 b (*.f64 b #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 #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(approx (+ (* a -1/6) 1/2) #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))))))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) #s(approx (+ (* a (+ (* a (+ (* a -1/6) 1/2)) -1)) 2) (*.f64 a (*.f64 #s(literal -1/6 binary64) (*.f64 a a)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (+.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -1/8 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 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a #s(approx (+ (* a (+ (* a -1/6) 1/2)) -1) (*.f64 #s(literal -1/6 binary64) (*.f64 a a))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (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))))
#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 #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(approx (+ (* a -1/6) 1/2) (*.f64 a #s(literal -1/6 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 (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 (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg 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 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 a a) (+.f64 (neg.f64 a) #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 (/.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)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a (/.f64 (fma.f64 (*.f64 a a) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 a #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 (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) #s(approx (+ (* a (+ (* a (+ (* a -1/6) 1/2)) -1)) 2) (*.f64 a (*.f64 (*.f64 a a) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) a)) a))))))))
#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)) (/.f64 #s(literal 1 binary64) (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 (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a #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 (/.f64 #s(literal 2 binary64) (*.f64 b (*.f64 b b))) #s(literal 1/6 binary64)))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 b b #s(literal 4 binary64)) (+.f64 b #s(literal -2 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a #s(literal -1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 (*.f64 a a) #s(literal 1/36 binary64) #s(literal -1/4 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 (/.f64 (fma.f64 (*.f64 b b) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (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)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (/.f64 (fma.f64 (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 a (fma.f64 a #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 (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) #s(approx (+ (* a (+ (* a (+ (* a -1/6) 1/2)) -1)) 2) (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) a)) a)) a)) (neg.f64 (*.f64 a (*.f64 a a))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (*.f64 (fma.f64 (*.f64 b b) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (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(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 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b) (fma.f64 (*.f64 b 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 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (/.f64 (fma.f64 (*.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (*.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal -4 binary64)) (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 -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 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 b b) #s(literal 1/36 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 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)) (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal 64 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 b (*.f64 b b)) #s(literal 8 binary64)) (-.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b #s(literal 2 binary64))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.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 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b) (fma.f64 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b) #s(literal -4 binary64)))))))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(approx (+ (* a -1/6) 1/2) (*.f64 a #s(literal -1/6 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 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b) (fma.f64 (*.f64 b 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:

13.0ms
b
10.0ms
(exp.f64 b)
9.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Results
AccuracySegmentsBranch
53.4%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
66.0%2(exp.f64 b)
71.4%3b
Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes56.0ms (0.5%)

Memory
16.0MiB live, 55.4MiB allocated
Counts
36 → 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 (/ 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))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(approx (+ (* (* b b) (+ (* b (* b -1/480)) 1/48)) -1/4) #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(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #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 (fma.f64 (*.f64 b b) #s(approx (+ (* b (* b -1/480)) 1/48) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (*.f64 b (*.f64 b #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 1/2) 1)) 2) (fma.f64 b (*.f64 b #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 #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(approx (+ (* a -1/6) 1/2) #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))))))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) #s(approx (+ (* a (+ (* a (+ (* a -1/6) 1/2)) -1)) 2) (*.f64 a (*.f64 #s(literal -1/6 binary64) (*.f64 a a)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (+.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -1/8 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 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a #s(approx (+ (* a (+ (* a -1/6) 1/2)) -1) (*.f64 #s(literal -1/6 binary64) (*.f64 a a))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (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))))
#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 #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(approx (+ (* a -1/6) 1/2) (*.f64 a #s(literal -1/6 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 (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 (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg 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 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 a a) (+.f64 (neg.f64 a) #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 (/.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)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a (/.f64 (fma.f64 (*.f64 a a) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 a #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 (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) #s(approx (+ (* a (+ (* a (+ (* a -1/6) 1/2)) -1)) 2) (*.f64 a (*.f64 (*.f64 a a) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) a)) a))))))))
#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)) (/.f64 #s(literal 1 binary64) (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 (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a #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 (/.f64 #s(literal 2 binary64) (*.f64 b (*.f64 b b))) #s(literal 1/6 binary64)))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 b b #s(literal 4 binary64)) (+.f64 b #s(literal -2 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a #s(literal -1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 (*.f64 a a) #s(literal 1/36 binary64) #s(literal -1/4 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 (/.f64 (fma.f64 (*.f64 b b) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (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)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (/.f64 (fma.f64 (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 a (fma.f64 a #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 (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) #s(approx (+ (* a (+ (* a (+ (* a -1/6) 1/2)) -1)) 2) (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) a)) a)) a)) (neg.f64 (*.f64 a (*.f64 a a))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (*.f64 (fma.f64 (*.f64 b b) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (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(literal 2 binary64)))))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(approx (+ (* a -1/6) 1/2) (*.f64 a #s(literal -1/6 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 (/.f64 (fma.f64 (*.f64 b b) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (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)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (*.f64 b (*.f64 b #s(literal 1/2 binary64)))))))
Calls

2 calls:

43.0ms
b
11.0ms
a
Results
AccuracySegmentsBranch
68.0%3a
69.6%3b
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes12.0ms (0.1%)

Memory
-6.8MiB live, 32.4MiB allocated
Counts
32 → 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 (/ 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))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(approx (+ (* (* b b) (+ (* b (* b -1/480)) 1/48)) -1/4) #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(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #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 (fma.f64 (*.f64 b b) #s(approx (+ (* b (* b -1/480)) 1/48) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (*.f64 b (*.f64 b #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 1/2) 1)) 2) (fma.f64 b (*.f64 b #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 #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(approx (+ (* a -1/6) 1/2) #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))))))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) #s(approx (+ (* a (+ (* a (+ (* a -1/6) 1/2)) -1)) 2) (*.f64 a (*.f64 #s(literal -1/6 binary64) (*.f64 a a)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (+.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -1/8 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 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a #s(approx (+ (* a (+ (* a -1/6) 1/2)) -1) (*.f64 #s(literal -1/6 binary64) (*.f64 a a))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (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))))
#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 #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(approx (+ (* a -1/6) 1/2) (*.f64 a #s(literal -1/6 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 (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 (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg 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 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 a a) (+.f64 (neg.f64 a) #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 (/.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)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a (/.f64 (fma.f64 (*.f64 a a) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 a #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 (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) #s(approx (+ (* a (+ (* a (+ (* a -1/6) 1/2)) -1)) 2) (*.f64 a (*.f64 (*.f64 a a) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) a)) a))))))))
#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)) (/.f64 #s(literal 1 binary64) (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 (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a #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 (/.f64 #s(literal 2 binary64) (*.f64 b (*.f64 b b))) #s(literal 1/6 binary64)))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 b b #s(literal 4 binary64)) (+.f64 b #s(literal -2 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a #s(literal -1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 (*.f64 a a) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))) #s(literal -1 binary64)) #s(literal 2 binary64)))))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(approx (+ (* a -1/6) 1/2) (*.f64 a #s(literal -1/6 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 (*.f64 (-.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 b b #s(literal 4 binary64)) (+.f64 b #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

1 calls:

9.0ms
b
Results
AccuracySegmentsBranch
69.6%3b
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes12.0ms (0.1%)

Memory
-8.1MiB live, 30.6MiB 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 (/ 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))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(approx (+ (* (* b b) (+ (* b (* b -1/480)) 1/48)) -1/4) #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(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #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 (fma.f64 (*.f64 b b) #s(approx (+ (* b (* b -1/480)) 1/48) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (*.f64 b (*.f64 b #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 1/2) 1)) 2) (fma.f64 b (*.f64 b #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 #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(approx (+ (* a -1/6) 1/2) #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))))))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) #s(approx (+ (* a (+ (* a (+ (* a -1/6) 1/2)) -1)) 2) (*.f64 a (*.f64 #s(literal -1/6 binary64) (*.f64 a a)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (+.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -1/8 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 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a #s(approx (+ (* a (+ (* a -1/6) 1/2)) -1) (*.f64 #s(literal -1/6 binary64) (*.f64 a a))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (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))))
#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 #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(approx (+ (* a -1/6) 1/2) (*.f64 a #s(literal -1/6 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 (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 (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg 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 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 a a) (+.f64 (neg.f64 a) #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 (/.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)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a (/.f64 (fma.f64 (*.f64 a a) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 a #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 (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) #s(approx (+ (* a (+ (* a (+ (* a -1/6) 1/2)) -1)) 2) (*.f64 a (*.f64 (*.f64 a a) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) a)) a))))))))
#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)) (/.f64 #s(literal 1 binary64) (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 (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a #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 (/.f64 #s(literal 2 binary64) (*.f64 b (*.f64 b b))) #s(literal 1/6 binary64)))))))))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(approx (+ (* a -1/6) 1/2) (*.f64 a #s(literal -1/6 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) (fma.f64 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b)))))
Calls

1 calls:

10.0ms
b
Results
AccuracySegmentsBranch
67.7%2b
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes17.0ms (0.2%)

Memory
-29.3MiB live, 21.5MiB allocated
Counts
20 → 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 (/ 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))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(approx (+ (* (* b b) (+ (* b (* b -1/480)) 1/48)) -1/4) #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(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #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 (fma.f64 (*.f64 b b) #s(approx (+ (* b (* b -1/480)) 1/48) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (*.f64 b (*.f64 b #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 1/2) 1)) 2) (fma.f64 b (*.f64 b #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 #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(approx (+ (* a -1/6) 1/2) #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))))))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) #s(approx (+ (* a (+ (* a (+ (* a -1/6) 1/2)) -1)) 2) (*.f64 a (*.f64 #s(literal -1/6 binary64) (*.f64 a a)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (+.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -1/8 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 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a #s(approx (+ (* a (+ (* a -1/6) 1/2)) -1) (*.f64 #s(literal -1/6 binary64) (*.f64 a a))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (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))))
#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 #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a #s(approx (+ (* a (+ (* a -1/6) 1/2)) -1) (*.f64 #s(literal -1/6 binary64) (*.f64 a a))) #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) (fma.f64 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b)))))
Calls

1 calls:

16.0ms
b
Results
AccuracySegmentsBranch
67.7%2b
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory
18.9MiB live, 19.0MiB allocated
Counts
18 → 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 (/ 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))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(approx (+ (* (* b b) (+ (* b (* b -1/480)) 1/48)) -1/4) #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(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #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 (fma.f64 (*.f64 b b) #s(approx (+ (* b (* b -1/480)) 1/48) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (*.f64 b (*.f64 b #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 1/2) 1)) 2) (fma.f64 b (*.f64 b #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 #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(approx (+ (* a -1/6) 1/2) #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))))))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) #s(approx (+ (* a (+ (* a (+ (* a -1/6) 1/2)) -1)) 2) (*.f64 a (*.f64 #s(literal -1/6 binary64) (*.f64 a a)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (+.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -1/8 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 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a #s(approx (+ (* a (+ (* a -1/6) 1/2)) -1) (*.f64 #s(literal -1/6 binary64) (*.f64 a a))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (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))))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a #s(approx (+ (* a (+ (* a -1/6) 1/2)) -1) (*.f64 #s(literal -1/6 binary64) (*.f64 a a))) #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

1 calls:

6.0ms
b
Results
AccuracySegmentsBranch
67.7%2b
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes17.0ms (0.2%)

Memory
5.2MiB live, 44.3MiB allocated
Counts
16 → 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 (/ 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))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(approx (+ (* (* b b) (+ (* b (* b -1/480)) 1/48)) -1/4) #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(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #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 (fma.f64 (*.f64 b b) #s(approx (+ (* b (* b -1/480)) 1/48) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (*.f64 b (*.f64 b #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 1/2) 1)) 2) (fma.f64 b (*.f64 b #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 #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(approx (+ (* a -1/6) 1/2) #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))))))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) #s(approx (+ (* a (+ (* a (+ (* a -1/6) 1/2)) -1)) 2) (*.f64 a (*.f64 #s(literal -1/6 binary64) (*.f64 a a)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (+.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -1/8 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 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #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:

6.0ms
a
5.0ms
b
4.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
62.1%2(exp.f64 b)
61.0%2a
63.8%2b
Compiler

Compiled 10 to 7 computations (30% saved)

regimes18.0ms (0.2%)

Memory
5.8MiB live, 45.1MiB allocated
Counts
12 → 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 (/ 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))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(approx (+ (* (* b b) (+ (* b (* b -1/480)) 1/48)) -1/4) #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(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #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 (fma.f64 (*.f64 b b) #s(approx (+ (* b (* b -1/480)) 1/48) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (*.f64 b (*.f64 b #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 1/2) 1)) 2) (fma.f64 b (*.f64 b #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 #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(approx (+ (* a -1/6) 1/2) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #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 1/2) 1)) 2) (*.f64 b (*.f64 b #s(literal 1/2 binary64)))))))
Calls

4 calls:

6.0ms
b
4.0ms
a
3.0ms
(exp.f64 b)
3.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
56.9%2a
57.5%2(exp.f64 b)
54.8%2(exp.f64 a)
59.1%2b
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes22.0ms (0.2%)

Memory
-26.5MiB live, 53.1MiB 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 (/ 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))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(approx (+ (* (* b b) (+ (* b (* b -1/480)) 1/48)) -1/4) #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(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #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 (fma.f64 (*.f64 b b) #s(approx (+ (* b (* b -1/480)) 1/48) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (*.f64 b (*.f64 b #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 1/2) 1)) 2) (fma.f64 b (*.f64 b #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 #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a))))
#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
b
5.0ms
(exp.f64 a)
4.0ms
a
3.0ms
(exp.f64 b)
3.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Results
AccuracySegmentsBranch
43.1%1(exp.f64 a)
45.9%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
43.1%1a
46.0%2(exp.f64 b)
46.0%2b
Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes10.0ms (0.1%)

Memory
31.0MiB live, 31.0MiB allocated
Counts
9 → 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 (/ 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))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(approx (+ (* (* b b) (+ (* b (* b -1/480)) 1/48)) -1/4) #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(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #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 (fma.f64 (*.f64 b b) #s(approx (+ (* b (* b -1/480)) 1/48) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (*.f64 b (*.f64 b #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 1/2) 1)) 2) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)))))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)))))
Calls

3 calls:

3.0ms
b
3.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
3.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
45.1%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
45.7%2(exp.f64 b)
45.7%2b
Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes4.0ms (0%)

Memory
-27.4MiB live, 12.2MiB allocated
Counts
8 → 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 (/ 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))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(approx (+ (* (* b b) (+ (* b (* b -1/480)) 1/48)) -1/4) #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(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #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 (fma.f64 (*.f64 b b) #s(approx (+ (* b (* b -1/480)) 1/48) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (*.f64 b (*.f64 b #s(literal 1/2 binary64)))))))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (*.f64 b (*.f64 b #s(literal 1/2 binary64)))))))
Calls

1 calls:

4.0ms
b
Results
AccuracySegmentsBranch
45.7%2b
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes14.0ms (0.1%)

Memory
5.8MiB live, 45.4MiB allocated
Counts
7 → 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 (/ 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))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(approx (+ (* (* b b) (+ (* b (* b -1/480)) 1/48)) -1/4) #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(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #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 (fma.f64 (*.f64 b b) #s(approx (+ (* b (* b -1/480)) 1/48) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a))))
Calls

5 calls:

3.0ms
b
3.0ms
a
3.0ms
(exp.f64 a)
2.0ms
(exp.f64 b)
2.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Results
AccuracySegmentsBranch
34.8%1a
34.8%1(exp.f64 a)
34.8%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
34.8%1(exp.f64 b)
34.8%1b
Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes11.0ms (0.1%)

Memory
-6.5MiB live, 33.0MiB allocated
Accuracy

Total -2.3b remaining (-5.5%)

Threshold costs -2.3b (-5.5%)

Counts
4 → 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 (/ 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))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(approx (+ (* (* b b) (+ (* b (* b -1/480)) 1/48)) -1/4) #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)))))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))
Calls

5 calls:

2.0ms
b
2.0ms
a
2.0ms
(exp.f64 b)
2.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
2.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
34.3%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
34.3%1(exp.f64 a)
34.3%1a
34.3%1(exp.f64 b)
34.3%1b
Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch0.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
0.9997818165649226
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch36.0ms (0.3%)

Memory
6.7MiB live, 85.1MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
15.0ms
-6.295209897220879e+71
-2.2413691517560096e+69
18.0ms
-7.769107553242857e+106
-5.04133792877293e+101
Samples
13.0ms272×0valid
5.0ms68×0exit
Compiler

Compiled 805 to 420 computations (47.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-exp: 5.0ms (56.7% of total)
ival-div: 2.0ms (22.7% of total)
ival-add: 2.0ms (22.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch34.0ms (0.3%)

Memory
4.7MiB live, 83.8MiB allocated
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
10.0ms
1.3567668752497891e+101
3.130301588509633e+103
8.0ms
7.737979371353215e+50
8.117809738634698e+51
14.0ms
-167550.53693020376
-0.8748459272463652
Samples
18.0ms352×0valid
Compiler

Compiled 838 to 501 computations (40.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-exp: 6.0ms (61% of total)
ival-div: 2.0ms (20.3% of total)
ival-add: 2.0ms (20.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
5.8MiB live, 5.8MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
1.3567668752497891e+101
3.130301588509633e+103
1.0ms
7.737979371353215e+50
8.117809738634698e+51
Compiler

Compiled 649 to 348 computations (46.4% saved)

bsearch19.0ms (0.2%)

Memory
5.6MiB live, 47.3MiB allocated
Algorithm
2×binary-search
Stop Event
1×predicate-same
1×narrow-enough
Steps
TimeLeftRight
5.0ms
1.713557453985924e+151
5.38560316604527e+155
12.0ms
1.5353713262014805e+61
3.901992499217065e+64
Samples
8.0ms192×0valid
Compiler

Compiled 525 to 323 computations (38.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-exp: 3.0ms (63.9% of total)
ival-div: 1.0ms (21.3% of total)
ival-add: 1.0ms (21.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch23.0ms (0.2%)

Memory
-20.9MiB live, 57.7MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
8.0ms
1.3567668752497891e+101
3.130301588509633e+103
13.0ms
2.7771323705693126e+67
1.3237058294205758e+75
Samples
11.0ms224×0valid
Compiler

Compiled 623 to 429 computations (31.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-exp: 3.0ms (53.9% of total)
ival-div: 1.0ms (18% of total)
ival-add: 1.0ms (18% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch12.0ms (0.1%)

Memory
31.2MiB live, 31.2MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
11.0ms
1.4199953543304638e+98
5.3074502517173505e+100
Samples
6.0ms128×0valid
Compiler

Compiled 237 to 179 computations (24.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-exp: 2.0ms (61.7% of total)
ival-div: 1.0ms (30.9% of total)
ival-add: 1.0ms (30.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
-35.9MiB live, 3.1MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
2.0ms
1.4199953543304638e+98
5.3074502517173505e+100
Compiler

Compiled 229 to 171 computations (25.3% saved)

bsearch1.0ms (0%)

Memory
2.9MiB live, 2.9MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
1.4199953543304638e+98
5.3074502517173505e+100
Compiler

Compiled 213 to 163 computations (23.5% saved)

bsearch2.0ms (0%)

Memory
6.3MiB live, 6.3MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
2.0ms
1.4199953543304638e+98
5.3074502517173505e+100
Samples
1.0ms16×0valid
Compiler

Compiled 205 to 163 computations (20.5% saved)

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

bsearch1.0ms (0%)

Memory
3.1MiB live, 3.1MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
1.4199953543304638e+98
5.3074502517173505e+100
Compiler

Compiled 189 to 155 computations (18% saved)

bsearch16.0ms (0.2%)

Memory
-12.9MiB live, 33.0MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
15.0ms
1.3808041120554361e-16
5.896501760340418e-11
Samples
9.0ms144×0valid
Compiler

Compiled 193 to 155 computations (19.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-exp: 2.0ms (50.6% of total)
ival-div: 1.0ms (25.3% of total)
ival-add: 1.0ms (25.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch11.0ms (0.1%)

Memory
24.3MiB live, 24.2MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
10.0ms
1301.0504038102968
66798.27751044807
Samples
6.0ms112×0valid
Compiler

Compiled 146 to 116 computations (20.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-exp: 2.0ms (58.3% of total)
ival-div: 1.0ms (29.1% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
2.4MiB live, 2.5MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
1301.0504038102968
66798.27751044807
Compiler

Compiled 139 to 116 computations (16.5% saved)

simplify19.0ms (0.2%)

Memory
-31.4MiB live, 47.2MiB allocated
Algorithm
1×egg-herbie
Rules
26×*-commutative_binary64
16×+-commutative_binary64
8×sub-neg_binary64
4×neg-sub0_binary64
4×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01911200
12131200
22191200
32231200
42251200
Stop Event
1×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 -10000000000000000019156750857346687362159551272651920111528035145993793242039887559612361451081803235328 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) #s(approx (+ (* a (+ (* a (+ (* a -1/6) 1/2)) -1)) 2) (*.f64 a (*.f64 #s(literal -1/6 binary64) (*.f64 a a))))))) (if (<=.f64 a #s(literal -2249999999999999971633789250204671739062964027916026447573582576877568 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (/.f64 (fma.f64 (*.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (*.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal -4 binary64)) (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 -2 binary64)))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))))
(if (<=.f64 b #s(literal -31/2 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (exp.f64 b) #s(literal 1 binary64))) (if (<=.f64 b #s(literal 4399999999999999837249374588699575806050811116519424 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(approx (+ (* a -1/6) 1/2) (*.f64 a #s(literal -1/6 binary64))) #s(literal -1 binary64)) #s(literal 2 binary64))))) (if (<=.f64 b #s(literal 10000000000000000019156750857346687362159551272651920111528035145993793242039887559612361451081803235328 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b) (fma.f64 (*.f64 b 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 4399999999999999837249374588699575806050811116519424 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(approx (+ (* a -1/6) 1/2) (*.f64 a #s(literal -1/6 binary64))) #s(literal -1 binary64)) #s(literal 2 binary64))))) (if (<=.f64 b #s(literal 10000000000000000019156750857346687362159551272651920111528035145993793242039887559612361451081803235328 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b) (fma.f64 (*.f64 b 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 28999999999999999302940677676364882913420128822116265766116392960 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(approx (+ (* a -1/6) 1/2) (*.f64 a #s(literal -1/6 binary64))) #s(literal -1 binary64)) #s(literal 2 binary64))))) (if (<=.f64 b #s(literal 20000000000000000738950913761164530819618359659685376903845557104301087318694439194433026219410816654893023507374465334628674006699146808342092384896548864 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 (*.f64 b b) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (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)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (*.f64 b (*.f64 b #s(literal 1/2 binary64)))))))))
(if (<=.f64 b #s(literal 1299999999999999924588441082662937044835970334023840784968977767999381438464 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(approx (+ (* a -1/6) 1/2) (*.f64 a #s(literal -1/6 binary64))) #s(literal -1 binary64)) #s(literal 2 binary64))))) (if (<=.f64 b #s(literal 5600000000000000368800510695160527274684567378396080134784128255846880772676400396457760261629840195584 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 b b #s(literal 4 binary64)) (+.f64 b #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 52000000000000003158153008378390623538830492720738151197751110162856187117460873202915186172705636352 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(approx (+ (* a -1/6) 1/2) (*.f64 a #s(literal -1/6 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) (fma.f64 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b))))))
(if (<=.f64 b #s(literal 52000000000000003158153008378390623538830492720738151197751110162856187117460873202915186172705636352 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a #s(approx (+ (* a (+ (* a -1/6) 1/2)) -1) (*.f64 #s(literal -1/6 binary64) (*.f64 a a))) #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) (fma.f64 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b))))))
(if (<=.f64 b #s(literal 52000000000000003158153008378390623538830492720738151197751110162856187117460873202915186172705636352 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a #s(approx (+ (* a (+ (* a -1/6) 1/2)) -1) (*.f64 #s(literal -1/6 binary64) (*.f64 a a))) #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 49999999999999998852475663262266831422342135996207500306499798736599672609039495565163064724075577344 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #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 52000000000000003158153008378390623538830492720738151197751110162856187117460873202915186172705636352 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #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 1/2) 1)) 2) (*.f64 b (*.f64 b #s(literal 1/2 binary64))))))))
(if (<=.f64 b #s(literal 6490371073168535/20282409603651670423947251286016 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a)))) #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 65000 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b))))))
(if (<=.f64 b #s(literal 65000 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (*.f64 b (*.f64 b #s(literal 1/2 binary64))))))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a))))
#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 -10000000000000000019156750857346687362159551272651920111528035145993793242039887559612361451081803235328 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) #s(approx (+ (* a (+ (* a (+ (* a -1/6) 1/2)) -1)) 2) (*.f64 a (*.f64 #s(literal -1/6 binary64) (*.f64 a a))))))) (if (<=.f64 a #s(literal -2249999999999999971633789250204671739062964027916026447573582576877568 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (/.f64 (fma.f64 (*.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (*.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal -4 binary64)) (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 -2 binary64)))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))))
(if (<=.f64 a #s(literal -10000000000000000019156750857346687362159551272651920111528035145993793242039887559612361451081803235328 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) #s(approx (+ (* a (+ (* a (+ (* a -1/6) 1/2)) -1)) 2) (*.f64 a (*.f64 #s(literal -1/6 binary64) (*.f64 a a))))))) (if (<=.f64 a #s(literal -2249999999999999971633789250204671739062964027916026447573582576877568 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (/.f64 (fma.f64 (*.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (*.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal -4 binary64)) (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 -2 binary64)))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))))
(if (<=.f64 b #s(literal -31/2 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (exp.f64 b) #s(literal 1 binary64))) (if (<=.f64 b #s(literal 4399999999999999837249374588699575806050811116519424 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(approx (+ (* a -1/6) 1/2) (*.f64 a #s(literal -1/6 binary64))) #s(literal -1 binary64)) #s(literal 2 binary64))))) (if (<=.f64 b #s(literal 10000000000000000019156750857346687362159551272651920111528035145993793242039887559612361451081803235328 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b) (fma.f64 (*.f64 b 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 65000 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b))))))
(if (<=.f64 b #s(literal 65000 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b 1/2) 1)) 2) (*.f64 b (*.f64 b #s(literal 1/2 binary64))))))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))

soundness1.8s (17.3%)

Memory
40.5MiB live, 1 812.8MiB allocated
Rules
18 438×lower-fma.f64
18 438×lower-fma.f32
17 832×lower-fma.f64
17 832×lower-fma.f32
12 754×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056369
078369
1348367
22599365
08581349
0617
01017
13217
220317
3193617
0863117
040250
059250
1243248
21680246
08138246
041186
071188
1252181
21840174
08833174
05966957
118196277
257186210
087795889
03404700
19984185
231164058
082213867
02724377
17773874
222923763
081673607
0120740
1332725
2963708
33702677
08342640
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 1 280 to 674 computations (47.3% saved)

preprocess143.0ms (1.4%)

Memory
3.9MiB live, 375.8MiB allocated
Compiler

Compiled 1 014 to 270 computations (73.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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