Quotient of sum of exps

Time bar (total: 7.5s)

analyze5.0ms (0.1%)

Memory
6.5MiB live, 6.5MiB 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 (13.8%)

Memory
2.5MiB live, 1 335.9MiB allocated
Samples
455.0ms8 256×0valid
162.0ms2 979×0exit
Precisions
Click to see histograms. Total time spent on operations: 354.0ms
ival-exp: 212.0ms (59.8% of total)
ival-div: 72.0ms (20.3% of total)
ival-add: 58.0ms (16.4% of total)
ival-true: 8.0ms (2.3% of total)
ival-assert: 4.0ms (1.1% of total)
Bogosity

preprocess89.0ms (1.2%)

Memory
20.3MiB live, 56.1MiB 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)))

explain81.0ms (1.1%)

Memory
16.7MiB live, 173.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
20-0-(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
00-0-(+.f64 (exp.f64 a) (exp.f64 b))
00-0-a
00-0-(exp.f64 b)
00-0-b
00-0-(exp.f64 a)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))o/o20
↳(exp.f64 a)overflow2
↳(+.f64 (exp.f64 a) (exp.f64 b))overflow77
↳(exp.f64 a)overflow2
↳(exp.f64 b)overflow76
Confusion
Predicted +Predicted -
+20
-0254
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+200
-00254
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0254
12
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
27.0ms512×0valid
Compiler

Compiled 62 to 28 computations (54.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-exp: 8.0ms (56.9% of total)
ival-div: 3.0ms (21.3% of total)
ival-add: 3.0ms (21.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.2%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 10 to 6 computations (40% saved)

simplify5.0ms (0.1%)

Memory
-31.7MiB live, 7.4MiB 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

localize19.0ms (0.3%)

Memory
38.7MiB live, 38.7MiB 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))
✓accuracy99.2%
(/.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: 7.0ms
ival-exp: 4.0ms (60.9% of total)
ival-div: 2.0ms (30.5% of total)
ival-add: 1.0ms (15.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory
-29.4MiB live, 12.7MiB allocated
Counts
4 → 72
Calls
Call 1
Inputs
#s(alt (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())
#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())
#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())
#s(alt (exp.f64 b) (patch (exp.f64 b) #<representation binary64>) () ())
Outputs
#s(alt (/ 1 (+ 1 (exp b))) (taylor 0 a) (#s(alt (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) (taylor 0 a) (#s(alt (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(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)))) (taylor 0 a) (#s(alt (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(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)))) (taylor 0 a) (#s(alt (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor inf a) (#s(alt (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor inf a) (#s(alt (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor inf a) (#s(alt (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor inf a) (#s(alt (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor -inf a) (#s(alt (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor -inf a) (#s(alt (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor -inf a) (#s(alt (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor -inf a) (#s(alt (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ 1 (exp a))) (taylor 0 b) (#s(alt (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a)))) (taylor 0 b) (#s(alt (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(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)))) (taylor 0 b) (#s(alt (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(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)))) (taylor 0 b) (#s(alt (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor inf b) (#s(alt (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor inf b) (#s(alt (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor inf b) (#s(alt (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor inf b) (#s(alt (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor -inf b) (#s(alt (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor -inf b) (#s(alt (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor -inf b) (#s(alt (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor -inf b) (#s(alt (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ())
#s(alt (+ 1 a) (taylor 0 a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* a (+ 1 (* 1/2 a)))) (taylor 0 a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) (taylor 0 a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ())
#s(alt (exp a) (taylor inf a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ())
#s(alt (exp a) (taylor inf a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ())
#s(alt (exp a) (taylor inf a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ())
#s(alt (exp a) (taylor inf a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ())
#s(alt (exp a) (taylor -inf a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ())
#s(alt (exp a) (taylor -inf a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ())
#s(alt (exp a) (taylor -inf a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ())
#s(alt (exp a) (taylor -inf a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp b)) (taylor 0 a) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ a (exp b))) (taylor 0 a) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))) (taylor 0 a) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))) (taylor 0 a) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor inf a) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor inf a) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor inf a) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor inf a) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor -inf a) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor -inf a) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor -inf a) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor -inf a) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp a)) (taylor 0 b) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ b (exp a))) (taylor 0 b) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))) (taylor 0 b) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) (taylor 0 b) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor inf b) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor inf b) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor inf b) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor inf b) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor -inf b) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor -inf b) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor -inf b) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor -inf b) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 b) (#s(alt (exp.f64 b) (patch (exp.f64 b) #<representation binary64>) () ())) ())
#s(alt (+ 1 b) (taylor 0 b) (#s(alt (exp.f64 b) (patch (exp.f64 b) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* b (+ 1 (* 1/2 b)))) (taylor 0 b) (#s(alt (exp.f64 b) (patch (exp.f64 b) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) (taylor 0 b) (#s(alt (exp.f64 b) (patch (exp.f64 b) #<representation binary64>) () ())) ())
#s(alt (exp b) (taylor inf b) (#s(alt (exp.f64 b) (patch (exp.f64 b) #<representation binary64>) () ())) ())
#s(alt (exp b) (taylor inf b) (#s(alt (exp.f64 b) (patch (exp.f64 b) #<representation binary64>) () ())) ())
#s(alt (exp b) (taylor inf b) (#s(alt (exp.f64 b) (patch (exp.f64 b) #<representation binary64>) () ())) ())
#s(alt (exp b) (taylor inf b) (#s(alt (exp.f64 b) (patch (exp.f64 b) #<representation binary64>) () ())) ())
#s(alt (exp b) (taylor -inf b) (#s(alt (exp.f64 b) (patch (exp.f64 b) #<representation binary64>) () ())) ())
#s(alt (exp b) (taylor -inf b) (#s(alt (exp.f64 b) (patch (exp.f64 b) #<representation binary64>) () ())) ())
#s(alt (exp b) (taylor -inf b) (#s(alt (exp.f64 b) (patch (exp.f64 b) #<representation binary64>) () ())) ())
#s(alt (exp b) (taylor -inf b) (#s(alt (exp.f64 b) (patch (exp.f64 b) #<representation binary64>) () ())) ())
Calls

18 calls:

TimeVariablePointExpression
3.0ms
a
@0
(/ (exp a) (+ (exp a) (exp b)))
1.0ms
b
@inf
(/ (exp a) (+ (exp a) (exp b)))
1.0ms
b
@0
(/ (exp a) (+ (exp a) (exp b)))
1.0ms
a
@inf
(/ (exp a) (+ (exp a) (exp b)))
1.0ms
b
@-inf
(/ (exp a) (+ (exp a) (exp b)))

rewrite327.0ms (4.4%)

Memory
12.7MiB live, 517.6MiB 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))))
(/.f64 (*.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 6 binary64))) (pow.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) #s(literal 3 binary64)))) (*.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (fma.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (-.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (+.f64 a a))) (exp.f64 (*.f64 a #s(literal 4 binary64))))))
(/.f64 (*.f64 (exp.f64 a) (-.f64 (exp.f64 (*.f64 a #s(literal 4 binary64))) (pow.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) #s(literal 2 binary64)))) (*.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (+.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (exp.f64 (+.f64 a b)))))
(/.f64 (*.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (*.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (+.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (*.f64 (exp.f64 a) (-.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (*.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (+.f64 (exp.f64 (+.f64 a a)) (+.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))))))
(/.f64 (neg.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))))) (neg.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b)))) (neg.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 a))) (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b)))
(/.f64 (*.f64 (neg.f64 (exp.f64 a)) #s(literal 1 binary64)) (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 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 a #s(literal 6 binary64))) (pow.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) #s(literal 3 binary64)))) (fma.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (-.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (+.f64 a a))) (exp.f64 (*.f64 a #s(literal 4 binary64)))))
(/.f64 (*.f64 (/.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 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (exp.f64 (+.f64 a b))))
(/.f64 (*.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 (exp.f64 a) (exp.f64 b)))
(/.f64 (*.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 (exp.f64 (+.f64 a a)) (+.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b))) (*.f64 (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b)) (exp.f64 a))) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (*.f64 (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b)) (neg.f64 (exp.f64 a)))) (*.f64 (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b)) (+.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b)) (exp.f64 (neg.f64 a)))) (*.f64 (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b)) #s(literal 1 binary64))) (*.f64 (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b)) (*.f64 (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b)) (exp.f64 (neg.f64 a)))))
(/.f64 (-.f64 (*.f64 #s(literal 0 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 (neg.f64 (exp.f64 a)) (exp.f64 b)) (/.f64 (neg.f64 (exp.f64 a)) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))))) (*.f64 (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b)))))))
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(/.f64 (-.f64 (*.f64 (neg.f64 (exp.f64 (+.f64 a a))) (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (+.f64 b b)))) (*.f64 (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1 binary64))) (*.f64 (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (+.f64 b b)))))
(/.f64 (-.f64 (*.f64 (neg.f64 (exp.f64 (+.f64 a a))) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b)))) (*.f64 (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))) (neg.f64 (exp.f64 (+.f64 b b))))) (*.f64 (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b))))) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 b) (exp.f64 a))) (*.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 (+.f64 a a)))) (pow.f64 (-.f64 (exp.f64 b) (exp.f64 a)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (-.f64 (*.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) (*.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (+.f64 b b))))) (neg.f64 (pow.f64 (-.f64 (exp.f64 a) (exp.f64 b)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 9 binary64))) (exp.f64 (*.f64 b #s(literal 9 binary64)))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.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 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b)))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (exp.f64 (*.f64 a #s(literal 6 binary64))) (exp.f64 (*.f64 b #s(literal 6 binary64)))) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b)))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (exp.f64 (*.f64 a #s(literal 6 binary64))) (exp.f64 (*.f64 b #s(literal 6 binary64)))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.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 (exp.f64 a) (exp.f64 b)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (exp.f64 (*.f64 a #s(literal 4 binary64))) (exp.f64 (*.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (-.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) #s(literal 1 binary64))) (neg.f64 (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))))) (neg.f64 (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))))) (neg.f64 (neg.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b))))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))))) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))))) (neg.f64 (neg.f64 (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a))))) (neg.f64 (neg.f64 (-.f64 (exp.f64 b) (exp.f64 a)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (*.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (pow.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b))))))
(/.f64 (neg.f64 (*.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 9 binary64))) (exp.f64 (*.f64 b #s(literal 9 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b))))))) (neg.f64 (+.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 (neg.f64 (*.f64 (-.f64 (exp.f64 (*.f64 a #s(literal 6 binary64))) (exp.f64 (*.f64 b #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b))))))) (neg.f64 (-.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (exp.f64 (*.f64 a #s(literal 6 binary64))) (exp.f64 (*.f64 b #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))))) (neg.f64 (+.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 (neg.f64 (*.f64 (-.f64 (exp.f64 (*.f64 a #s(literal 4 binary64))) (exp.f64 (*.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))))) (neg.f64 (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))))
(/.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (pow.f64 (neg.f64 (neg.f64 (exp.f64 b))) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (*.f64 (neg.f64 (neg.f64 (exp.f64 b))) (neg.f64 (neg.f64 (exp.f64 b)))) (*.f64 (exp.f64 a) (neg.f64 (neg.f64 (exp.f64 b)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b)))) (neg.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b))))) (*.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) (neg.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b))))))))
(/.f64 (+.f64 (pow.f64 (neg.f64 (neg.f64 (exp.f64 b))) #s(literal 3 binary64)) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (fma.f64 (neg.f64 (neg.f64 (exp.f64 b))) (neg.f64 (neg.f64 (exp.f64 b))) (-.f64 (exp.f64 (+.f64 a a)) (*.f64 (neg.f64 (neg.f64 (exp.f64 b))) (exp.f64 a)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 b) (exp.f64 a))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 b) (exp.f64 a))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 b) (exp.f64 a))) (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 b) (exp.f64 a))) (fma.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 b) (exp.f64 a))) (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 b) (exp.f64 a))) (*.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 b) (exp.f64 a))) (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 b) (exp.f64 a)))))))
(pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64))
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal 1 binary64))
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (*.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (/.f64 #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 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b)))) (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b))))))
(*.f64 (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b)))) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b)))))))
(*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))
(*.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 #s(literal -1 binary64) (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b)))
(*.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (/.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 (neg.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b)))))
(*.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 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))))
(*.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) (exp.f64 a))))
(*.f64 (/.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (+.f64 (exp.f64 a) (exp.f64 b)))
(*.f64 (/.f64 (+.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)))) (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 (+.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 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (exp.f64 (+.f64 a b))))
(*.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))))) (+.f64 (exp.f64 (+.f64 a a)) (+.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))))
(*.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))

simplify452.0ms (6.1%)

Memory
-10.5MiB live, 598.6MiB 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)

eval43.0ms (0.6%)

Memory
8.4MiB live, 82.2MiB allocated
Compiler

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

prune57.0ms (0.8%)

Memory
22.5MiB live, 103.4MiB 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
▶98.7%
(pow.f64 (pow.f64 (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
▶42.5%
(/.f64 (*.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (*.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (+.f64 (exp.f64 a) (exp.f64 b))))
▶62.0%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
▶80.5%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
▶99.2%
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))))
Compiler

Compiled 150 to 94 computations (37.3% saved)

simplify319.0ms (4.3%)

Memory
-1.1MiB live, 476.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))
✓cost-diff0
(exp.f64 a)
✓cost-diff6400
(*.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))))
✓cost-diff33600
(/.f64 (*.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (*.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (+.f64 (exp.f64 a) (exp.f64 b))))
✓cost-diff0
(+.f64 (exp.f64 a) (exp.f64 b))
✓cost-diff0
(pow.f64 (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) #s(literal -1/2 binary64))
✓cost-diff12224
(pow.f64 (pow.f64 (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
✓cost-diff13056
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a)))
✓cost-diff0
(+.f64 (exp.f64 a) #s(literal 1 binary64))
✓cost-diff0
(exp.f64 a)
✓cost-diff0
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #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
(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
13 466×lower-fma.f64
13 466×lower-fma.f32
4 664×lower-*.f32
4 658×lower-*.f64
1 890×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026206
047187
180187
2160172
3394168
42480168
57063168
08267167
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)
(/.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(literal 1 binary64)))
(exp.f64 a)
a
(+.f64 (exp.f64 a) #s(literal 1 binary64))
#s(literal 1 binary64)
(pow.f64 (pow.f64 (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) #s(literal -1/2 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(literal -1/2 binary64)
#s(literal 2 binary64)
(/.f64 (*.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (*.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))))
(exp.f64 a)
a
(-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))
(exp.f64 (+.f64 a a))
(+.f64 a a)
(exp.f64 (+.f64 b b))
(+.f64 b b)
b
(*.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (+.f64 (exp.f64 a) (exp.f64 b)))
(+.f64 (exp.f64 a) (exp.f64 b))
(exp.f64 b)
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)
(/.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(literal 1 binary64)))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(exp.f64 a)
a
(+.f64 (exp.f64 a) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
#s(literal 1 binary64)
(pow.f64 (pow.f64 (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(pow.f64 (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) #s(literal -1/2 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) #s(literal -1/2 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(literal -1/2 binary64)
#s(literal 2 binary64)
(/.f64 (*.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (*.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (+.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(*.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 a (+.f64 b b))))
(exp.f64 a)
a
(-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))
(exp.f64 (+.f64 a a))
(+.f64 a a)
(exp.f64 (+.f64 b b))
(+.f64 b b)
b
(*.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (+.f64 (exp.f64 a) (exp.f64 b)))
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))))
(+.f64 (exp.f64 a) (exp.f64 b))
(exp.f64 b)

localize132.0ms (1.8%)

Memory
16.5MiB live, 170.0MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))))
✓accuracy99.9%
(*.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (+.f64 (exp.f64 a) (exp.f64 b)))
✓accuracy99.6%
(/.f64 (*.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (*.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (+.f64 (exp.f64 a) (exp.f64 b))))
✓accuracy72.2%
(-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))
✓accuracy100.0%
(exp.f64 a)
✓accuracy100.0%
(+.f64 (exp.f64 a) (exp.f64 b))
✓accuracy99.6%
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a)))
✓accuracy99.5%
(pow.f64 (pow.f64 (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
✓accuracy100.0%
(exp.f64 a)
✓accuracy100.0%
(+.f64 (exp.f64 a) #s(literal 1 binary64))
✓accuracy99.6%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #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)))
✓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))))
✓accuracy99.6%
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a)))
Samples
35.0ms62×1valid
25.0ms109×0valid
17.0ms76×0exit
7.0ms9×2valid
Compiler

Compiled 208 to 28 computations (86.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 62.0ms
ival-exp: 16.0ms (25.8% of total)
ival-div: 13.0ms (21% of total)
ival-pow: 10.0ms (16.1% of total)
ival-add: 7.0ms (11.3% of total)
ival-mult: 5.0ms (8.1% of total)
adjust: 4.0ms (6.5% of total)
ival-pow2: 3.0ms (4.8% of total)
ival-sub: 2.0ms (3.2% of total)
ival-neg: 1.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series42.0ms (0.6%)

Memory
-31.5MiB live, 41.9MiB allocated
Counts
15 → 288
Calls
Call 1
Inputs
#s(alt (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) (patch (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a)))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a)))) #<representation binary64>) () ())
#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())
#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 b)) (patch (+.f64 #s(literal 1 binary64) (exp.f64 b)) #<representation binary64>) () ())
#s(alt (exp.f64 b) (patch (exp.f64 b) #<representation binary64>) () ())
#s(alt (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (patch (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 (exp.f64 a) #s(literal 1 binary64)) (patch (+.f64 (exp.f64 a) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (pow.f64 (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) #s(literal -1/2 binary64)) (patch (pow.f64 (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (*.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (+.f64 (exp.f64 a) (exp.f64 b)))) (patch (/.f64 (*.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (*.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (+.f64 (exp.f64 a) (exp.f64 b)))) #<representation binary64>) () ())
#s(alt (*.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (patch (*.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) #<representation binary64>) () ())
#s(alt (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (patch (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (*.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())
Outputs
#s(alt (+ 1 (exp b)) (taylor 0 a) (#s(alt (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) (patch (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (exp b) (* a (+ 1 (* -1 (+ 1 (exp b))))))) (taylor 0 a) (#s(alt (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) (patch (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (exp b) (* a (+ 1 (+ (* -1 (+ 1 (exp b))) (* a (- (* 1/2 (+ 1 (exp b))) 1/2))))))) (taylor 0 a) (#s(alt (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) (patch (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ())
#s(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))))))) (taylor 0 a) (#s(alt (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) (patch (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (* (exp (neg a)) (+ (exp a) (exp b))) (taylor inf a) (#s(alt (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) (patch (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (* (exp (neg a)) (+ (exp a) (exp b))) (taylor inf a) (#s(alt (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) (patch (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (* (exp (neg a)) (+ (exp a) (exp b))) (taylor inf a) (#s(alt (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) (patch (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (* (exp (neg a)) (+ (exp a) (exp b))) (taylor inf a) (#s(alt (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) (patch (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (* (exp (* -1 a)) (+ (exp a) (exp b))) (taylor -inf a) (#s(alt (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) (patch (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (* (exp (* -1 a)) (+ (exp a) (exp b))) (taylor -inf a) (#s(alt (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) (patch (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (* (exp (* -1 a)) (+ (exp a) (exp b))) (taylor -inf a) (#s(alt (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) (patch (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (* (exp (* -1 a)) (+ (exp a) (exp b))) (taylor -inf a) (#s(alt (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) (patch (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (* (exp (neg a)) (+ 1 (exp a))) (taylor 0 b) (#s(alt (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) (patch (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (* b (exp (neg a))) (* (exp (neg a)) (+ 1 (exp a)))) (taylor 0 b) (#s(alt (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) (patch (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (* b (+ (exp (neg a)) (* 1/2 (* b (exp (neg a)))))) (* (exp (neg a)) (+ 1 (exp a)))) (taylor 0 b) (#s(alt (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) (patch (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (* b (+ (exp (neg a)) (* b (+ (* 1/6 (* b (exp (neg a)))) (* 1/2 (exp (neg a))))))) (* (exp (neg a)) (+ 1 (exp a)))) (taylor 0 b) (#s(alt (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) (patch (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (* (exp (neg a)) (+ (exp a) (exp b))) (taylor inf b) (#s(alt (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) (patch (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (* (exp (neg a)) (+ (exp a) (exp b))) (taylor inf b) (#s(alt (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) (patch (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (* (exp (neg a)) (+ (exp a) (exp b))) (taylor inf b) (#s(alt (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) (patch (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (* (exp (neg a)) (+ (exp a) (exp b))) (taylor inf b) (#s(alt (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) (patch (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (* (exp (neg a)) (+ (exp a) (exp b))) (taylor -inf b) (#s(alt (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) (patch (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (* (exp (neg a)) (+ (exp a) (exp b))) (taylor -inf b) (#s(alt (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) (patch (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (* (exp (neg a)) (+ (exp a) (exp b))) (taylor -inf b) (#s(alt (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) (patch (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (* (exp (neg a)) (+ (exp a) (exp b))) (taylor -inf b) (#s(alt (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) (patch (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ 1 (exp b))) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a)))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a)))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a)))) #<representation binary64>) () ())) ())
#s(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)))) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a)))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a)))) #<representation binary64>) () ())) ())
#s(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)))) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a)))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a)))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a)))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a)))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a)))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b)))) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a)))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b)))) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a)))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b)))) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a)))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b)))) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a)))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a)))) #<representation binary64>) () ())) ())
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#s(alt (* (exp a) (- (exp (* 2 a)) (exp (neg (* -2 b))))) (taylor -inf b) (#s(alt (*.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (patch (*.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) #<representation binary64>) () ())) ())
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#s(alt (* (+ (exp a) (exp b)) (- (exp (* 2 a)) (exp (* 2 b)))) (taylor inf a) (#s(alt (*.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (*.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (* (+ (exp a) (exp b)) (- (exp (neg (* -2 a))) (exp (* 2 b)))) (taylor -inf a) (#s(alt (*.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (*.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (* (+ (exp a) (exp b)) (- (exp (neg (* -2 a))) (exp (* 2 b)))) (taylor -inf a) (#s(alt (*.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (*.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (* (+ (exp a) (exp b)) (- (exp (neg (* -2 a))) (exp (* 2 b)))) (taylor -inf a) (#s(alt (*.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (*.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (* (+ (exp a) (exp b)) (- (exp (neg (* -2 a))) (exp (* 2 b)))) (taylor -inf a) (#s(alt (*.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (*.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (* (+ 1 (exp a)) (- (exp (* 2 a)) 1)) (taylor 0 b) (#s(alt (*.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (*.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (+ (* b (- (+ (exp (* 2 a)) (* -2 (+ 1 (exp a)))) 1)) (* (+ 1 (exp a)) (- (exp (* 2 a)) 1))) (taylor 0 b) (#s(alt (*.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (*.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (+ (* b (- (+ (exp (* 2 a)) (+ (* -2 (+ 1 (exp a))) (* b (- (+ (* -2 (+ 1 (exp a))) (* 1/2 (- (exp (* 2 a)) 1))) 2)))) 1)) (* (+ 1 (exp a)) (- (exp (* 2 a)) 1))) (taylor 0 b) (#s(alt (*.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (*.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (+ (* b (- (+ (exp (* 2 a)) (+ (* -2 (+ 1 (exp a))) (* b (- (+ (* -2 (+ 1 (exp a))) (+ (* 1/2 (- (exp (* 2 a)) 1)) (* b (- (+ (* -4/3 (+ 1 (exp a))) (* 1/6 (- (exp (* 2 a)) 1))) 3)))) 2)))) 1)) (* (+ 1 (exp a)) (- (exp (* 2 a)) 1))) (taylor 0 b) (#s(alt (*.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (*.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (* (+ (exp a) (exp b)) (- (exp (* 2 a)) (exp (* 2 b)))) (taylor inf b) (#s(alt (*.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (*.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (* (+ (exp a) (exp b)) (- (exp (* 2 a)) (exp (* 2 b)))) (taylor inf b) (#s(alt (*.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (*.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (* (+ (exp a) (exp b)) (- (exp (* 2 a)) (exp (* 2 b)))) (taylor inf b) (#s(alt (*.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (*.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (* (+ (exp a) (exp b)) (- (exp (* 2 a)) (exp (* 2 b)))) (taylor inf b) (#s(alt (*.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (*.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (* (+ (exp a) (exp b)) (- (exp (* 2 a)) (exp (neg (* -2 b))))) (taylor -inf b) (#s(alt (*.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (*.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (* (+ (exp a) (exp b)) (- (exp (* 2 a)) (exp (neg (* -2 b))))) (taylor -inf b) (#s(alt (*.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (*.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (* (+ (exp a) (exp b)) (- (exp (* 2 a)) (exp (neg (* -2 b))))) (taylor -inf b) (#s(alt (*.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (*.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (* (+ (exp a) (exp b)) (- (exp (* 2 a)) (exp (neg (* -2 b))))) (taylor -inf b) (#s(alt (*.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (*.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
Calls

72 calls:

TimeVariablePointExpression
6.0ms
a
@0
(* (+ (exp a) (exp b)) (exp (neg a)))
3.0ms
a
@0
(* (- (exp (+ a a)) (exp (+ b b))) (+ (exp a) (exp b)))
2.0ms
b
@inf
(/ 1 (+ 1 (exp b)))
1.0ms
a
@0
(pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2)
1.0ms
a
@inf
(pow (* (+ (exp a) (exp b)) (exp (neg a))) -1/2)

rewrite83.0ms (1.1%)

Memory
13.1MiB live, 90.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
610×lower-*.f32
604×lower-*.f64
574×lower-/.f32
566×lower-/.f64
484×lower-fma.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026138
047136
1180122
01301122
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
15 → 282
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)
(/.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(literal 1 binary64)))
(+.f64 (exp.f64 a) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) #s(literal -1/2 binary64))
(/.f64 (*.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (*.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (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 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (+.f64 (exp.f64 a) (exp.f64 b)))
Outputs
(+.f64 (*.f64 (exp.f64 (neg.f64 a)) (exp.f64 a)) (*.f64 (exp.f64 (neg.f64 a)) (exp.f64 b)))
(+.f64 (*.f64 (exp.f64 (neg.f64 a)) (exp.f64 b)) (*.f64 (exp.f64 (neg.f64 a)) (exp.f64 a)))
(+.f64 (*.f64 (exp.f64 a) (exp.f64 (neg.f64 a))) (*.f64 (exp.f64 b) (exp.f64 (neg.f64 a))))
(+.f64 (*.f64 (exp.f64 b) (exp.f64 (neg.f64 a))) (*.f64 (exp.f64 a) (exp.f64 (neg.f64 a))))
(fma.f64 (exp.f64 a) (exp.f64 (neg.f64 a)) (*.f64 (exp.f64 b) (exp.f64 (neg.f64 a))))
(fma.f64 (exp.f64 b) (exp.f64 (neg.f64 a)) (*.f64 (exp.f64 a) (exp.f64 (neg.f64 a))))
(fma.f64 (exp.f64 (neg.f64 a)) (exp.f64 a) (*.f64 (exp.f64 (neg.f64 a)) (exp.f64 b)))
(fma.f64 (exp.f64 (neg.f64 a)) (exp.f64 b) (*.f64 (exp.f64 (neg.f64 a)) (exp.f64 a)))
(/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))
(/.f64 (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a)))))
(/.f64 (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (neg.f64 (exp.f64 (neg.f64 a)))) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a a))) #s(literal 1 binary64)) (*.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 b #s(literal 3 binary64))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b)))) (exp.f64 a)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a a)))) (*.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 b #s(literal 3 binary64))) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (*.f64 (exp.f64 a) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b))))))
(/.f64 (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal 1 binary64)) (exp.f64 a))
(/.f64 (*.f64 (exp.f64 (neg.f64 a)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a a)))) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (*.f64 (exp.f64 (neg.f64 a)) (+.f64 (exp.f64 (*.f64 b #s(literal 3 binary64))) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b)))))
(/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a a))) (exp.f64 (neg.f64 a))) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 b #s(literal 3 binary64))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (exp.f64 (neg.f64 a))) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b)))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 a))
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a)))
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (/.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))
(*.f64 (exp.f64 (neg.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b)))
(*.f64 (exp.f64 (neg.f64 a)) (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal 1 binary64)))
(*.f64 (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (log.f64 (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a)))))))
(exp.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a)))) (*.f64 #s(literal -1/2 binary64) (log.f64 (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a)))))))
(neg.f64 (/.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 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (neg.f64 (exp.f64 (neg.f64 a))))))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 a)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 #s(literal -1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (neg.f64 (exp.f64 (neg.f64 a)))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 (neg.f64 a)))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))) (neg.f64 (exp.f64 (neg.f64 a))))
(/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (+.f64 (exp.f64 a) (exp.f64 b)))
(pow.f64 (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a)))) #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a)))))
(*.f64 (pow.f64 (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a)))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (neg.f64 (exp.f64 (neg.f64 a))))))
(*.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal -1/2 binary64)) (*.f64 (exp.f64 (*.f64 (neg.f64 a) #s(literal -1/2 binary64))) (pow.f64 (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) #s(literal -1/4 binary64)) (pow.f64 (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (pow.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
(*.f64 (pow.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (pow.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 (*.f64 (neg.f64 a) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(*.f64 (*.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal -1/2 binary64))) (*.f64 (exp.f64 (*.f64 (neg.f64 a) #s(literal -1/2 binary64))) (exp.f64 (*.f64 (neg.f64 a) #s(literal -1/2 binary64)))))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) #s(literal -1/2 binary64))) (pow.f64 (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (pow.f64 (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) #s(literal -1/2 binary64)) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal -1/2 binary64))) (exp.f64 (*.f64 (neg.f64 a) #s(literal -1/2 binary64))))
(*.f64 (*.f64 (pow.f64 (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) #s(literal -1/4 binary64))) (pow.f64 (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) #s(literal -1/4 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1 binary64)) (exp.f64 a))
(+.f64 (exp.f64 a) (exp.f64 b))
(+.f64 (exp.f64 b) (exp.f64 a))
(-.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))))
(fma.f64 (exp.f64 a) #s(literal 1 binary64) (exp.f64 b))
(fma.f64 (exp.f64 b) #s(literal 1 binary64) (exp.f64 a))
(fma.f64 #s(literal 1 binary64) (exp.f64 a) (exp.f64 b))
(fma.f64 #s(literal 1 binary64) (exp.f64 b) (exp.f64 a))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b)))) (+.f64 (exp.f64 (*.f64 b #s(literal 3 binary64))) (exp.f64 (*.f64 a #s(literal 3 binary64))))))
(/.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a a))) (-.f64 (exp.f64 a) (exp.f64 b)))
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(/.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a a)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (exp.f64 b) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a a)))) #s(literal 3 binary64))) (fma.f64 (*.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a a)))) (*.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a a)))) (-.f64 (*.f64 (*.f64 (exp.f64 b) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a a)))) (*.f64 (exp.f64 b) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a a))))) (*.f64 (*.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a a)))) (*.f64 (exp.f64 b) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a a))))))))
(/.f64 (-.f64 (*.f64 (*.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a a)))) (*.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a a))))) (*.f64 (*.f64 (exp.f64 b) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a a)))) (*.f64 (exp.f64 b) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a a)))))) (-.f64 (*.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a a)))) (*.f64 (exp.f64 b) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a a))))))
(/.f64 (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (exp.f64 (*.f64 (+.f64 a a) #s(literal 3 binary64))) (exp.f64 (*.f64 (+.f64 a a) #s(literal 3 binary64))))) (+.f64 (exp.f64 (+.f64 (+.f64 a a) (+.f64 a a))) (+.f64 (exp.f64 (+.f64 (+.f64 a a) (+.f64 a a))) (exp.f64 (+.f64 (+.f64 a a) (+.f64 a a))))))
(/.f64 (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (exp.f64 (+.f64 (+.f64 a a) (+.f64 a a))) (exp.f64 (+.f64 (+.f64 a a) (+.f64 a a))))) (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a a))))
(/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a a))) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a a)))) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a a))) (+.f64 (exp.f64 (*.f64 b #s(literal 3 binary64))) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b)))))
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 b #s(literal 3 binary64))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a a)))) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b)))))
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (+.f64 a a) #s(literal 3 binary64))) (exp.f64 (*.f64 (+.f64 a a) #s(literal 3 binary64)))) (+.f64 (exp.f64 a) (exp.f64 b))) (+.f64 (exp.f64 (+.f64 (+.f64 a a) (+.f64 a a))) (+.f64 (exp.f64 (+.f64 (+.f64 a a) (+.f64 a a))) (exp.f64 (+.f64 (+.f64 a a) (+.f64 a a))))))
(/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 (+.f64 a a) (+.f64 a a))) (exp.f64 (+.f64 (+.f64 a a) (+.f64 a a)))) (+.f64 (exp.f64 a) (exp.f64 b))) (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a a))))
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a a))))
(*.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a a))) (+.f64 (exp.f64 a) (exp.f64 b)))

simplify402.0ms (5.4%)

Memory
3.0MiB live, 554.8MiB allocated
Algorithm
1×egg-herbie
Rules
8 734×lower-fma.f64
8 734×lower-fma.f32
4 138×lower-*.f64
4 138×lower-*.f32
4 136×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04654747
113774233
241694093
377404069
081723849
Stop Event
1×iter limit
1×node limit
Counts
288 → 288
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)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(* (exp (neg a)) (+ (exp a) (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 (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 (* -1 a)) (+ (exp a) (exp b))))
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(+ (* 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))))
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(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
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(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ (exp a) (exp b))
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(+ (exp a) (exp b))
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(+ (exp a) (exp b))
(+ (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)
1/2
(+ 1/2 (* -1/4 b))
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(+ 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))
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 (* 1/4 a))
(+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))
(+ 1/2 (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))))
(/ (exp a) (+ 1 (exp a)))
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(/ (exp a) (+ 1 (exp a)))
(/ (exp a) (+ 1 (exp a)))
(/ (exp a) (+ 1 (exp a)))
(/ (exp a) (+ 1 (exp a)))
2
(+ 2 a)
(+ 2 (* a (+ 1 (* 1/2 a))))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(+ 1 (exp a))
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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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(sqrt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))))
(sqrt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))))
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(sqrt (/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b)))))
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(sqrt (/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b)))))
(sqrt (/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b)))))
(sqrt (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
(+ (sqrt (/ 1 (* (exp (neg a)) (+ 1 (exp a))))) (* -1/2 (* b (sqrt (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3)))))))
(+ (sqrt (/ 1 (* (exp (neg a)) (+ 1 (exp a))))) (* b (+ (* -1/2 (sqrt (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))))) (* 1/2 (* (* b (- (* 3/4 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3)))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (sqrt (* (exp (neg a)) (+ 1 (exp a)))))))))
(+ (sqrt (/ 1 (* (exp (neg a)) (+ 1 (exp a))))) (* b (+ (* -1/2 (sqrt (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))))) (* b (+ (* 1/2 (* (sqrt (* (exp (neg a)) (+ 1 (exp a)))) (- (* 3/4 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3)))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))))) (* 1/2 (* (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (+ (* -1/2 (/ (- (* 3/4 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3)))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (+ 1 (exp a)))) (+ (* 1/6 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 4))))))) (sqrt (* (exp (neg a)) (+ 1 (exp a)))))))))))
(sqrt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b)))))
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(/ (exp a) (+ (exp a) (exp b)))
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(/ (exp a) (+ 1 (exp a)))
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(/ (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 (exp (* 2 b)))
(- (+ 1 (* a (- 3 (exp (* 2 b))))) (exp (* 2 b)))
(- (+ 1 (* a (- (+ 3 (* a (+ 4 (* 1/2 (- 1 (exp (* 2 b))))))) (exp (* 2 b))))) (exp (* 2 b)))
(- (+ 1 (* a (- (+ 3 (* a (+ 4 (+ (* 1/2 (- 1 (exp (* 2 b)))) (* a (+ 13/3 (* 1/6 (- 1 (exp (* 2 b)))))))))) (exp (* 2 b))))) (exp (* 2 b)))
(* (exp a) (- (exp (* 2 a)) (exp (* 2 b))))
(* (exp a) (- (exp (* 2 a)) (exp (* 2 b))))
(* (exp a) (- (exp (* 2 a)) (exp (* 2 b))))
(* (exp a) (- (exp (* 2 a)) (exp (* 2 b))))
(* (exp a) (- (exp (neg (* -2 a))) (exp (* 2 b))))
(* (exp a) (- (exp (neg (* -2 a))) (exp (* 2 b))))
(* (exp a) (- (exp (neg (* -2 a))) (exp (* 2 b))))
(* (exp a) (- (exp (neg (* -2 a))) (exp (* 2 b))))
(* (exp a) (- (exp (* 2 a)) 1))
(+ (* -2 (* b (exp a))) (* (exp a) (- (exp (* 2 a)) 1)))
(+ (* b (+ (* -2 (exp a)) (* -2 (* b (exp a))))) (* (exp a) (- (exp (* 2 a)) 1)))
(+ (* b (+ (* -2 (exp a)) (* b (+ (* -2 (exp a)) (* -4/3 (* b (exp a))))))) (* (exp a) (- (exp (* 2 a)) 1)))
(* (exp a) (- (exp (* 2 a)) (exp (* 2 b))))
(* (exp a) (- (exp (* 2 a)) (exp (* 2 b))))
(* (exp a) (- (exp (* 2 a)) (exp (* 2 b))))
(* (exp a) (- (exp (* 2 a)) (exp (* 2 b))))
(* (exp a) (- (exp (* 2 a)) (exp (neg (* -2 b)))))
(* (exp a) (- (exp (* 2 a)) (exp (neg (* -2 b)))))
(* (exp a) (- (exp (* 2 a)) (exp (neg (* -2 b)))))
(* (exp a) (- (exp (* 2 a)) (exp (neg (* -2 b)))))
(- 1 (exp (* 2 b)))
(- (+ 1 (* 2 a)) (exp (* 2 b)))
(- (+ 1 (* a (+ 2 (* 2 a)))) (exp (* 2 b)))
(- (+ 1 (* a (+ 2 (* a (+ 2 (* 4/3 a)))))) (exp (* 2 b)))
(- (exp (* 2 a)) (exp (* 2 b)))
(- (exp (* 2 a)) (exp (* 2 b)))
(- (exp (* 2 a)) (exp (* 2 b)))
(- (exp (* 2 a)) (exp (* 2 b)))
(- (exp (neg (* -2 a))) (exp (* 2 b)))
(- (exp (neg (* -2 a))) (exp (* 2 b)))
(- (exp (neg (* -2 a))) (exp (* 2 b)))
(- (exp (neg (* -2 a))) (exp (* 2 b)))
(- (exp (* 2 a)) 1)
(- (+ (exp (* 2 a)) (* -2 b)) 1)
(- (+ (exp (* 2 a)) (* b (- (* -2 b) 2))) 1)
(- (+ (exp (* 2 a)) (* b (- (* b (- (* -4/3 b) 2)) 2))) 1)
(- (exp (* 2 a)) (exp (* 2 b)))
(- (exp (* 2 a)) (exp (* 2 b)))
(- (exp (* 2 a)) (exp (* 2 b)))
(- (exp (* 2 a)) (exp (* 2 b)))
(- (exp (* 2 a)) (exp (neg (* -2 b))))
(- (exp (* 2 a)) (exp (neg (* -2 b))))
(- (exp (* 2 a)) (exp (neg (* -2 b))))
(- (exp (* 2 a)) (exp (neg (* -2 b))))
(* (+ 1 (exp b)) (- 1 (exp (* 2 b))))
(+ (* a (- (+ 1 (* 2 (+ 1 (exp b)))) (exp (* 2 b)))) (* (+ 1 (exp b)) (- 1 (exp (* 2 b)))))
(+ (* a (- (+ 1 (+ (* 2 (+ 1 (exp b))) (* a (+ 2 (+ (* 1/2 (- 1 (exp (* 2 b)))) (* 2 (+ 1 (exp b)))))))) (exp (* 2 b)))) (* (+ 1 (exp b)) (- 1 (exp (* 2 b)))))
(+ (* a (- (+ 1 (+ (* 2 (+ 1 (exp b))) (* a (+ 2 (+ (* 1/2 (- 1 (exp (* 2 b)))) (+ (* 2 (+ 1 (exp b))) (* a (+ 3 (+ (* 1/6 (- 1 (exp (* 2 b)))) (* 4/3 (+ 1 (exp b)))))))))))) (exp (* 2 b)))) (* (+ 1 (exp b)) (- 1 (exp (* 2 b)))))
(* (+ (exp a) (exp b)) (- (exp (* 2 a)) (exp (* 2 b))))
(* (+ (exp a) (exp b)) (- (exp (* 2 a)) (exp (* 2 b))))
(* (+ (exp a) (exp b)) (- (exp (* 2 a)) (exp (* 2 b))))
(* (+ (exp a) (exp b)) (- (exp (* 2 a)) (exp (* 2 b))))
(* (+ (exp a) (exp b)) (- (exp (neg (* -2 a))) (exp (* 2 b))))
(* (+ (exp a) (exp b)) (- (exp (neg (* -2 a))) (exp (* 2 b))))
(* (+ (exp a) (exp b)) (- (exp (neg (* -2 a))) (exp (* 2 b))))
(* (+ (exp a) (exp b)) (- (exp (neg (* -2 a))) (exp (* 2 b))))
(* (+ 1 (exp a)) (- (exp (* 2 a)) 1))
(+ (* b (- (+ (exp (* 2 a)) (* -2 (+ 1 (exp a)))) 1)) (* (+ 1 (exp a)) (- (exp (* 2 a)) 1)))
(+ (* b (- (+ (exp (* 2 a)) (+ (* -2 (+ 1 (exp a))) (* b (- (+ (* -2 (+ 1 (exp a))) (* 1/2 (- (exp (* 2 a)) 1))) 2)))) 1)) (* (+ 1 (exp a)) (- (exp (* 2 a)) 1)))
(+ (* b (- (+ (exp (* 2 a)) (+ (* -2 (+ 1 (exp a))) (* b (- (+ (* -2 (+ 1 (exp a))) (+ (* 1/2 (- (exp (* 2 a)) 1)) (* b (- (+ (* -4/3 (+ 1 (exp a))) (* 1/6 (- (exp (* 2 a)) 1))) 3)))) 2)))) 1)) (* (+ 1 (exp a)) (- (exp (* 2 a)) 1)))
(* (+ (exp a) (exp b)) (- (exp (* 2 a)) (exp (* 2 b))))
(* (+ (exp a) (exp b)) (- (exp (* 2 a)) (exp (* 2 b))))
(* (+ (exp a) (exp b)) (- (exp (* 2 a)) (exp (* 2 b))))
(* (+ (exp a) (exp b)) (- (exp (* 2 a)) (exp (* 2 b))))
(* (+ (exp a) (exp b)) (- (exp (* 2 a)) (exp (neg (* -2 b)))))
(* (+ (exp a) (exp b)) (- (exp (* 2 a)) (exp (neg (* -2 b)))))
(* (+ (exp a) (exp b)) (- (exp (* 2 a)) (exp (neg (* -2 b)))))
(* (+ (exp a) (exp b)) (- (exp (* 2 a)) (exp (neg (* -2 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) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) a)))
(+ 1 (+ (exp b) (* a (+ 1 (+ (* -1 (+ 1 (exp b))) (* a (- (* 1/2 (+ 1 (exp b))) 1/2)))))))
(+.f64 #s(literal 1 binary64) (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))) (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 (-.f64 (*.f64 a (+.f64 (fma.f64 a #s(literal 1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (fma.f64 #s(literal -1/6 binary64) a #s(literal 1/2 binary64)))) #s(literal -1/2 binary64))) (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 (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) (exp.f64 (neg.f64 a))) #s(literal 1 binary64))
(+ (* 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 (*.f64 (exp.f64 (neg.f64 a)) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)))) (+.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))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 (/.f64 a (+.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 (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 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (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) (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 (neg.f64 a))) (-.f64 #s(literal -1 binary64) (exp.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)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) (*.f64 (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 (/.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)))))) b))
(+ (* 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 b (+.f64 (-.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 4 binary64)))) (/.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (-.f64 #s(literal -1 binary64) (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 (neg.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)))))
(/ 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 (exp.f64 b) (+.f64 #s(literal 1 binary64) 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)))))))
(+.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (exp.f64 b)))
(+ (exp a) (exp 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 #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))))))
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(/.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))))
(- 1 (exp (* 2 b)))
(-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b)))
(- (+ 1 (* a (- 3 (exp (* 2 b))))) (exp (* 2 b)))
(-.f64 (*.f64 a (-.f64 #s(literal 3 binary64) (exp.f64 (+.f64 b b)))) (expm1.f64 (+.f64 b b)))
(- (+ 1 (* a (- (+ 3 (* a (+ 4 (* 1/2 (- 1 (exp (* 2 b))))))) (exp (* 2 b))))) (exp (* 2 b)))
(-.f64 (*.f64 a (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b))) #s(literal 4 binary64)) (-.f64 #s(literal 3 binary64) (exp.f64 (+.f64 b b))))) (expm1.f64 (+.f64 b b)))
(- (+ 1 (* a (- (+ 3 (* a (+ 4 (+ (* 1/2 (- 1 (exp (* 2 b)))) (* a (+ 13/3 (* 1/6 (- 1 (exp (* 2 b)))))))))) (exp (* 2 b))))) (exp (* 2 b)))
(-.f64 (*.f64 a (-.f64 (fma.f64 a (+.f64 #s(literal 4 binary64) (fma.f64 a #s(literal 13/3 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b))) (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (exp.f64 (+.f64 b b)))) (expm1.f64 (+.f64 b b)))
(* (exp a) (- (exp (* 2 a)) (exp (* 2 b))))
(-.f64 (exp.f64 (fma.f64 a #s(literal 2 binary64) a)) (exp.f64 (fma.f64 b #s(literal 2 binary64) a)))
(* (exp a) (- (exp (* 2 a)) (exp (* 2 b))))
(-.f64 (exp.f64 (fma.f64 a #s(literal 2 binary64) a)) (exp.f64 (fma.f64 b #s(literal 2 binary64) a)))
(* (exp a) (- (exp (* 2 a)) (exp (* 2 b))))
(-.f64 (exp.f64 (fma.f64 a #s(literal 2 binary64) a)) (exp.f64 (fma.f64 b #s(literal 2 binary64) a)))
(* (exp a) (- (exp (* 2 a)) (exp (* 2 b))))
(-.f64 (exp.f64 (fma.f64 a #s(literal 2 binary64) a)) (exp.f64 (fma.f64 b #s(literal 2 binary64) a)))
(* (exp a) (- (exp (neg (* -2 a))) (exp (* 2 b))))
(-.f64 (exp.f64 (fma.f64 a #s(literal 2 binary64) a)) (exp.f64 (fma.f64 b #s(literal 2 binary64) a)))
(* (exp a) (- (exp (neg (* -2 a))) (exp (* 2 b))))
(-.f64 (exp.f64 (fma.f64 a #s(literal 2 binary64) a)) (exp.f64 (fma.f64 b #s(literal 2 binary64) a)))
(* (exp a) (- (exp (neg (* -2 a))) (exp (* 2 b))))
(-.f64 (exp.f64 (fma.f64 a #s(literal 2 binary64) a)) (exp.f64 (fma.f64 b #s(literal 2 binary64) a)))
(* (exp a) (- (exp (neg (* -2 a))) (exp (* 2 b))))
(-.f64 (exp.f64 (fma.f64 a #s(literal 2 binary64) a)) (exp.f64 (fma.f64 b #s(literal 2 binary64) a)))
(* (exp a) (- (exp (* 2 a)) 1))
(*.f64 (exp.f64 a) (expm1.f64 (+.f64 a a)))
(+ (* -2 (* b (exp a))) (* (exp a) (- (exp (* 2 a)) 1)))
(*.f64 (exp.f64 a) (fma.f64 b #s(literal -2 binary64) (expm1.f64 (+.f64 a a))))
(+ (* b (+ (* -2 (exp a)) (* -2 (* b (exp a))))) (* (exp a) (- (exp (* 2 a)) 1)))
(fma.f64 b (*.f64 (exp.f64 a) (fma.f64 b #s(literal -2 binary64) #s(literal -2 binary64))) (*.f64 (exp.f64 a) (expm1.f64 (+.f64 a a))))
(+ (* b (+ (* -2 (exp a)) (* b (+ (* -2 (exp a)) (* -4/3 (* b (exp a))))))) (* (exp a) (- (exp (* 2 a)) 1)))
(fma.f64 (exp.f64 a) (fma.f64 b #s(literal -2 binary64) (expm1.f64 (+.f64 a a))) (*.f64 b (*.f64 (exp.f64 a) (*.f64 b (fma.f64 b #s(literal -4/3 binary64) #s(literal -2 binary64))))))
(* (exp a) (- (exp (* 2 a)) (exp (* 2 b))))
(-.f64 (exp.f64 (fma.f64 a #s(literal 2 binary64) a)) (exp.f64 (fma.f64 b #s(literal 2 binary64) a)))
(* (exp a) (- (exp (* 2 a)) (exp (* 2 b))))
(-.f64 (exp.f64 (fma.f64 a #s(literal 2 binary64) a)) (exp.f64 (fma.f64 b #s(literal 2 binary64) a)))
(* (exp a) (- (exp (* 2 a)) (exp (* 2 b))))
(-.f64 (exp.f64 (fma.f64 a #s(literal 2 binary64) a)) (exp.f64 (fma.f64 b #s(literal 2 binary64) a)))
(* (exp a) (- (exp (* 2 a)) (exp (* 2 b))))
(-.f64 (exp.f64 (fma.f64 a #s(literal 2 binary64) a)) (exp.f64 (fma.f64 b #s(literal 2 binary64) a)))
(* (exp a) (- (exp (* 2 a)) (exp (neg (* -2 b)))))
(-.f64 (exp.f64 (fma.f64 a #s(literal 2 binary64) a)) (exp.f64 (fma.f64 b #s(literal 2 binary64) a)))
(* (exp a) (- (exp (* 2 a)) (exp (neg (* -2 b)))))
(-.f64 (exp.f64 (fma.f64 a #s(literal 2 binary64) a)) (exp.f64 (fma.f64 b #s(literal 2 binary64) a)))
(* (exp a) (- (exp (* 2 a)) (exp (neg (* -2 b)))))
(-.f64 (exp.f64 (fma.f64 a #s(literal 2 binary64) a)) (exp.f64 (fma.f64 b #s(literal 2 binary64) a)))
(* (exp a) (- (exp (* 2 a)) (exp (neg (* -2 b)))))
(-.f64 (exp.f64 (fma.f64 a #s(literal 2 binary64) a)) (exp.f64 (fma.f64 b #s(literal 2 binary64) a)))
(- 1 (exp (* 2 b)))
(-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b)))
(- (+ 1 (* 2 a)) (exp (* 2 b)))
(-.f64 (*.f64 a #s(literal 2 binary64)) (expm1.f64 (+.f64 b b)))
(- (+ 1 (* a (+ 2 (* 2 a)))) (exp (* 2 b)))
(-.f64 (*.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 2 binary64))) (expm1.f64 (+.f64 b b)))
(- (+ 1 (* a (+ 2 (* a (+ 2 (* 4/3 a)))))) (exp (* 2 b)))
(-.f64 (*.f64 a (fma.f64 a (fma.f64 a #s(literal 4/3 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))) (expm1.f64 (+.f64 b b)))
(- (exp (* 2 a)) (exp (* 2 b)))
(-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))
(- (exp (* 2 a)) (exp (* 2 b)))
(-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))
(- (exp (* 2 a)) (exp (* 2 b)))
(-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))
(- (exp (* 2 a)) (exp (* 2 b)))
(-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))
(- (exp (neg (* -2 a))) (exp (* 2 b)))
(-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))
(- (exp (neg (* -2 a))) (exp (* 2 b)))
(-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))
(- (exp (neg (* -2 a))) (exp (* 2 b)))
(-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))
(- (exp (neg (* -2 a))) (exp (* 2 b)))
(-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))
(- (exp (* 2 a)) 1)
(expm1.f64 (+.f64 a a))
(- (+ (exp (* 2 a)) (* -2 b)) 1)
(fma.f64 b #s(literal -2 binary64) (expm1.f64 (+.f64 a a)))
(- (+ (exp (* 2 a)) (* b (- (* -2 b) 2))) 1)
(fma.f64 b (fma.f64 b #s(literal -2 binary64) #s(literal -2 binary64)) (expm1.f64 (+.f64 a a)))
(- (+ (exp (* 2 a)) (* b (- (* b (- (* -4/3 b) 2)) 2))) 1)
(fma.f64 b (fma.f64 b (fma.f64 b #s(literal -4/3 binary64) #s(literal -2 binary64)) #s(literal -2 binary64)) (expm1.f64 (+.f64 a a)))
(- (exp (* 2 a)) (exp (* 2 b)))
(-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))
(- (exp (* 2 a)) (exp (* 2 b)))
(-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))
(- (exp (* 2 a)) (exp (* 2 b)))
(-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))
(- (exp (* 2 a)) (exp (* 2 b)))
(-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))
(- (exp (* 2 a)) (exp (neg (* -2 b))))
(-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))
(- (exp (* 2 a)) (exp (neg (* -2 b))))
(-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))
(- (exp (* 2 a)) (exp (neg (* -2 b))))
(-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))
(- (exp (* 2 a)) (exp (neg (* -2 b))))
(-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))
(* (+ 1 (exp b)) (- 1 (exp (* 2 b))))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b))))
(+ (* a (- (+ 1 (* 2 (+ 1 (exp b)))) (exp (* 2 b)))) (* (+ 1 (exp b)) (- 1 (exp (* 2 b)))))
(fma.f64 a (+.f64 #s(literal 3 binary64) (*.f64 (exp.f64 b) (-.f64 #s(literal 2 binary64) (exp.f64 b)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b)))))
(+ (* a (- (+ 1 (+ (* 2 (+ 1 (exp b))) (* a (+ 2 (+ (* 1/2 (- 1 (exp (* 2 b)))) (* 2 (+ 1 (exp b)))))))) (exp (* 2 b)))) (* (+ 1 (exp b)) (- 1 (exp (* 2 b)))))
(fma.f64 a (fma.f64 a (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b))) #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) (*.f64 (exp.f64 b) (-.f64 #s(literal 2 binary64) (exp.f64 b))))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b)))))
(+ (* a (- (+ 1 (+ (* 2 (+ 1 (exp b))) (* a (+ 2 (+ (* 1/2 (- 1 (exp (* 2 b)))) (+ (* 2 (+ 1 (exp b))) (* a (+ 3 (+ (* 1/6 (- 1 (exp (* 2 b)))) (* 4/3 (+ 1 (exp b)))))))))))) (exp (* 2 b)))) (* (+ 1 (exp b)) (- 1 (exp (* 2 b)))))
(fma.f64 a (fma.f64 a (+.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b))) (fma.f64 (exp.f64 b) #s(literal 2 binary64) #s(literal 2 binary64))) (fma.f64 a (fma.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b))) (+.f64 (fma.f64 (exp.f64 b) #s(literal 4/3 binary64) #s(literal 4/3 binary64)) #s(literal 3 binary64))) #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) (*.f64 (exp.f64 b) (-.f64 #s(literal 2 binary64) (exp.f64 b))))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b)))))
(* (+ (exp a) (exp b)) (- (exp (* 2 a)) (exp (* 2 b))))
(*.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))))
(* (+ (exp a) (exp b)) (- (exp (* 2 a)) (exp (* 2 b))))
(*.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))))
(* (+ (exp a) (exp b)) (- (exp (* 2 a)) (exp (* 2 b))))
(*.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))))
(* (+ (exp a) (exp b)) (- (exp (* 2 a)) (exp (* 2 b))))
(*.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))))
(* (+ (exp a) (exp b)) (- (exp (neg (* -2 a))) (exp (* 2 b))))
(*.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))))
(* (+ (exp a) (exp b)) (- (exp (neg (* -2 a))) (exp (* 2 b))))
(*.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))))
(* (+ (exp a) (exp b)) (- (exp (neg (* -2 a))) (exp (* 2 b))))
(*.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))))
(* (+ (exp a) (exp b)) (- (exp (neg (* -2 a))) (exp (* 2 b))))
(*.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))))
(* (+ 1 (exp a)) (- (exp (* 2 a)) 1))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (expm1.f64 (+.f64 a a)))
(+ (* b (- (+ (exp (* 2 a)) (* -2 (+ 1 (exp a)))) 1)) (* (+ 1 (exp a)) (- (exp (* 2 a)) 1)))
(fma.f64 b (+.f64 (exp.f64 (+.f64 a a)) (fma.f64 (exp.f64 a) #s(literal -2 binary64) #s(literal -3 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (expm1.f64 (+.f64 a a))))
(+ (* b (- (+ (exp (* 2 a)) (+ (* -2 (+ 1 (exp a))) (* b (- (+ (* -2 (+ 1 (exp a))) (* 1/2 (- (exp (* 2 a)) 1))) 2)))) 1)) (* (+ 1 (exp a)) (- (exp (* 2 a)) 1)))
(fma.f64 b (+.f64 (exp.f64 (+.f64 a a)) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) (expm1.f64 (+.f64 a a)) (fma.f64 (exp.f64 a) #s(literal -2 binary64) #s(literal -4 binary64))) (fma.f64 (exp.f64 a) #s(literal -2 binary64) #s(literal -3 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (expm1.f64 (+.f64 a a))))
(+ (* b (- (+ (exp (* 2 a)) (+ (* -2 (+ 1 (exp a))) (* b (- (+ (* -2 (+ 1 (exp a))) (+ (* 1/2 (- (exp (* 2 a)) 1)) (* b (- (+ (* -4/3 (+ 1 (exp a))) (* 1/6 (- (exp (* 2 a)) 1))) 3)))) 2)))) 1)) (* (+ 1 (exp a)) (- (exp (* 2 a)) 1)))
(fma.f64 b (fma.f64 b (fma.f64 b (fma.f64 #s(literal 1/6 binary64) (expm1.f64 (+.f64 a a)) (fma.f64 (exp.f64 a) #s(literal -4/3 binary64) #s(literal -13/3 binary64))) (fma.f64 #s(literal 1/2 binary64) (expm1.f64 (+.f64 a a)) (fma.f64 (exp.f64 a) #s(literal -2 binary64) #s(literal -4 binary64)))) (+.f64 (exp.f64 (+.f64 a a)) (fma.f64 (exp.f64 a) #s(literal -2 binary64) #s(literal -3 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (expm1.f64 (+.f64 a a))))
(* (+ (exp a) (exp b)) (- (exp (* 2 a)) (exp (* 2 b))))
(*.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))))
(* (+ (exp a) (exp b)) (- (exp (* 2 a)) (exp (* 2 b))))
(*.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))))
(* (+ (exp a) (exp b)) (- (exp (* 2 a)) (exp (* 2 b))))
(*.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))))
(* (+ (exp a) (exp b)) (- (exp (* 2 a)) (exp (* 2 b))))
(*.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))))
(* (+ (exp a) (exp b)) (- (exp (* 2 a)) (exp (neg (* -2 b)))))
(*.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))))
(* (+ (exp a) (exp b)) (- (exp (* 2 a)) (exp (neg (* -2 b)))))
(*.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))))
(* (+ (exp a) (exp b)) (- (exp (* 2 a)) (exp (neg (* -2 b)))))
(*.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))))
(* (+ (exp a) (exp b)) (- (exp (* 2 a)) (exp (neg (* -2 b)))))
(*.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))))

eval129.0ms (1.7%)

Memory
23.7MiB live, 97.5MiB allocated
Compiler

Compiled 19 105 to 1 398 computations (92.7% saved)

prune87.0ms (1.2%)

Memory
-8.4MiB live, 159.2MiB allocated
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New85911870
Fresh000
Picked415
Done000
Total86312875
Accuracy
100.0%
Counts
875 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
32.8%
(fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
▶33.5%
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
35.7%
(fma.f64 a (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
▶35.6%
(fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
35.7%
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
60.6%
(/.f64 (exp.f64 a) #s(literal 2 binary64))
53.8%
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
▶47.7%
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
33.6%
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
▶62.4%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
✓80.5%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
▶35.3%
#s(literal 1/2 binary64)
Compiler

Compiled 208 to 156 computations (25% saved)

simplify15.0ms (0.2%)

Memory
-16.7MiB live, 22.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
✓cost-diff0
(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) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
✓cost-diff0
(*.f64 a a)
✓cost-diff0
(fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64))
✓cost-diff0
(fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
✓cost-diff0
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
✓cost-diff0
(neg.f64 a)
✓cost-diff0
(exp.f64 (neg.f64 a))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
Rules
178×lower-fma.f32
168×lower-fma.f64
116×lower-+.f32
114×lower-+.f64
104×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01973
03573
16773
210773
314573
414873
515573
619073
722373
822773
022773
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
(exp.f64 (neg.f64 a))
(neg.f64 a)
a
#s(literal 1/2 binary64)
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
b
#s(literal -1/4 binary64)
#s(literal 1/2 binary64)
(fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
a
(fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64))
#s(literal -1/48 binary64)
(*.f64 a a)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
#s(literal 1 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)
Outputs
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
(exp.f64 (neg.f64 a))
(neg.f64 a)
a
#s(literal 1/2 binary64)
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
b
#s(literal -1/4 binary64)
#s(literal 1/2 binary64)
(fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
a
(fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64))
(fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64))
#s(literal -1/48 binary64)
(*.f64 a a)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 binary64)))
#s(literal 1 binary64)
(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 binary64))
b
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 2 binary64)

localize70.0ms (0.9%)

Memory
16.0MiB live, 131.5MiB allocated
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
✓accuracy100.0%
(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
✓accuracy99.5%
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
✓accuracy100.0%
(*.f64 a a)
✓accuracy100.0%
(fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
✓accuracy99.6%
(fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64))
✓accuracy100.0%
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
✓accuracy100.0%
(neg.f64 a)
✓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) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
Samples
45.0ms256×0valid
Compiler

Compiled 84 to 26 computations (69% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-mult: 9.0ms (33.2% of total)
ival-add: 7.0ms (25.8% of total)
const: 4.0ms (14.7% of total)
ival-div: 3.0ms (11.1% of total)
ival-exp: 2.0ms (7.4% of total)
exact: 1.0ms (3.7% of total)
ival-neg: 1.0ms (3.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory
18.3MiB live, 18.3MiB allocated
Counts
11 → 132
Calls
Call 1
Inputs
#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (patch (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())
#s(alt (exp.f64 (neg.f64 a)) (patch (exp.f64 (neg.f64 a)) #<representation binary64>) () ())
#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ())
#s(alt (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) (patch (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 a a) (patch (*.f64 a a) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())
Outputs
#s(alt 1/2 (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/4 a)) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2))))) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48))))) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (neg a)))) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (neg a)))) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (neg a)))) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (neg a)))) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 a)))) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 a)))) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 a)))) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 a)))) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) #<representation binary64>) () ())) ())
#s(alt 2 (taylor 0 a) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (patch (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* -1 a)) (taylor 0 a) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (patch (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* a (- (* 1/2 a) 1))) (taylor 0 a) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (patch (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* a (- (* a (+ 1/2 (* -1/6 a))) 1))) (taylor 0 a) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (patch (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp (neg a))) (taylor inf a) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (patch (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp (neg a))) (taylor inf a) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (patch (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp (neg a))) (taylor inf a) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (patch (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp (neg a))) (taylor inf a) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (patch (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp (* -1 a))) (taylor -inf a) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (patch (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp (* -1 a))) (taylor -inf a) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (patch (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp (* -1 a))) (taylor -inf a) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (patch (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp (* -1 a))) (taylor -inf a) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (patch (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 a) (#s(alt (exp.f64 (neg.f64 a)) (patch (exp.f64 (neg.f64 a)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 a)) (taylor 0 a) (#s(alt (exp.f64 (neg.f64 a)) (patch (exp.f64 (neg.f64 a)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* a (- (* 1/2 a) 1))) (taylor 0 a) (#s(alt (exp.f64 (neg.f64 a)) (patch (exp.f64 (neg.f64 a)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* a (- (* a (+ 1/2 (* -1/6 a))) 1))) (taylor 0 a) (#s(alt (exp.f64 (neg.f64 a)) (patch (exp.f64 (neg.f64 a)) #<representation binary64>) () ())) ())
#s(alt (exp (neg a)) (taylor inf a) (#s(alt (exp.f64 (neg.f64 a)) (patch (exp.f64 (neg.f64 a)) #<representation binary64>) () ())) ())
#s(alt (exp (neg a)) (taylor inf a) (#s(alt (exp.f64 (neg.f64 a)) (patch (exp.f64 (neg.f64 a)) #<representation binary64>) () ())) ())
#s(alt (exp (neg a)) (taylor inf a) (#s(alt (exp.f64 (neg.f64 a)) (patch (exp.f64 (neg.f64 a)) #<representation binary64>) () ())) ())
#s(alt (exp (neg a)) (taylor inf a) (#s(alt (exp.f64 (neg.f64 a)) (patch (exp.f64 (neg.f64 a)) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 a)) (taylor -inf a) (#s(alt (exp.f64 (neg.f64 a)) (patch (exp.f64 (neg.f64 a)) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 a)) (taylor -inf a) (#s(alt (exp.f64 (neg.f64 a)) (patch (exp.f64 (neg.f64 a)) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 a)) (taylor -inf a) (#s(alt (exp.f64 (neg.f64 a)) (patch (exp.f64 (neg.f64 a)) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 a)) (taylor -inf a) (#s(alt (exp.f64 (neg.f64 a)) (patch (exp.f64 (neg.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* -1 a) (taylor 0 a) (#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ())) ())
#s(alt (* -1 a) (taylor 0 a) (#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ())) ())
#s(alt (* -1 a) (taylor 0 a) (#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ())) ())
#s(alt (* -1 a) (taylor 0 a) (#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ())) ())
#s(alt (* -1 a) (taylor inf a) (#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ())) ())
#s(alt (* -1 a) (taylor inf a) (#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ())) ())
#s(alt (* -1 a) (taylor inf a) (#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ())) ())
#s(alt (* -1 a) (taylor inf a) (#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ())) ())
#s(alt (* -1 a) (taylor -inf a) (#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ())) ())
#s(alt (* -1 a) (taylor -inf a) (#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ())) ())
#s(alt (* -1 a) (taylor -inf a) (#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ())) ())
#s(alt (* -1 a) (taylor -inf a) (#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor 0 b) (#s(alt (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* -1/4 b)) (taylor 0 b) (#s(alt (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* -1/4 b)) (taylor 0 b) (#s(alt (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* -1/4 b)) (taylor 0 b) (#s(alt (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 b) (taylor inf b) (#s(alt (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* b (- (* 1/2 (/ 1 b)) 1/4)) (taylor inf b) (#s(alt (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* b (- (* 1/2 (/ 1 b)) 1/4)) (taylor inf b) (#s(alt (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* b (- (* 1/2 (/ 1 b)) 1/4)) (taylor inf b) (#s(alt (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 b) (taylor -inf b) (#s(alt (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- 1/4 (* 1/2 (/ 1 b))))) (taylor -inf b) (#s(alt (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- 1/4 (* 1/2 (/ 1 b))))) (taylor -inf b) (#s(alt (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- 1/4 (* 1/2 (/ 1 b))))) (taylor -inf b) (#s(alt (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor 0 a) (#s(alt (fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/4 a)) (taylor 0 a) (#s(alt (fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2))))) (taylor 0 a) (#s(alt (fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2))))) (taylor 0 a) (#s(alt (fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/48 (pow a 3)) (taylor inf a) (#s(alt (fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 3) (- (* 1/4 (/ 1 (pow a 2))) 1/48)) (taylor inf a) (#s(alt (fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48)) (taylor inf a) (#s(alt (fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48)) (taylor inf a) (#s(alt (fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/48 (pow a 3)) (taylor -inf a) (#s(alt (fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow a 3) (- 1/48 (* 1/4 (/ 1 (pow a 2)))))) (taylor -inf a) (#s(alt (fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 2)))))) (taylor -inf a) (#s(alt (fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 2)))))) (taylor -inf a) (#s(alt (fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt 1/4 (taylor 0 a) (#s(alt (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) (patch (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/4 (* -1/48 (pow a 2))) (taylor 0 a) (#s(alt (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) (patch (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/4 (* -1/48 (pow a 2))) (taylor 0 a) (#s(alt (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) (patch (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/4 (* -1/48 (pow a 2))) (taylor 0 a) (#s(alt (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) (patch (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/48 (pow a 2)) (taylor inf a) (#s(alt (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) (patch (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48)) (taylor inf a) (#s(alt (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) (patch (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48)) (taylor inf a) (#s(alt (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) (patch (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48)) (taylor inf a) (#s(alt (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) (patch (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/48 (pow a 2)) (taylor -inf a) (#s(alt (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) (patch (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48)) (taylor -inf a) (#s(alt (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) (patch (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48)) (taylor -inf a) (#s(alt (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) (patch (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48)) (taylor -inf a) (#s(alt (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) (patch (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor 0 a) (#s(alt (*.f64 a a) (patch (*.f64 a a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor 0 a) (#s(alt (*.f64 a a) (patch (*.f64 a a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor 0 a) (#s(alt (*.f64 a a) (patch (*.f64 a a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor 0 a) (#s(alt (*.f64 a a) (patch (*.f64 a a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor inf a) (#s(alt (*.f64 a a) (patch (*.f64 a a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor inf a) (#s(alt (*.f64 a a) (patch (*.f64 a a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor inf a) (#s(alt (*.f64 a a) (patch (*.f64 a a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor inf a) (#s(alt (*.f64 a a) (patch (*.f64 a a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor -inf a) (#s(alt (*.f64 a a) (patch (*.f64 a a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor -inf a) (#s(alt (*.f64 a a) (patch (*.f64 a a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor -inf a) (#s(alt (*.f64 a a) (patch (*.f64 a a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor -inf a) (#s(alt (*.f64 a a) (patch (*.f64 a a) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* -1/4 b)) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* b (- (* 1/16 (pow b 2)) 1/4))) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* b (- (* (pow b 2) (+ 1/16 (* -1/32 b))) 1/4))) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow b 2)) (taylor inf b) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- 2 (* 4 (/ 1 b))) (pow b 2)) (taylor inf b) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 2 (/ 16 (pow b 3))) (* 4 (/ 1 b))) (pow b 2)) (taylor inf b) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 2 (/ 16 (pow b 3))) (+ (* 4 (/ 1 b)) (* 32 (/ 1 (pow b 4))))) (pow b 2)) (taylor inf b) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow b 2)) (taylor -inf b) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- 2 (* 4 (/ 1 b))) (pow b 2)) (taylor -inf b) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* -1 (/ (- 4 (* 16 (/ 1 (pow b 2)))) b))) (pow b 2)) (taylor -inf b) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* -1 (/ (- (+ 4 (/ 32 (pow b 3))) (* 16 (/ 1 (pow b 2)))) b))) (pow b 2)) (taylor -inf b) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt 2 (taylor 0 b) (#s(alt (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 b) (taylor 0 b) (#s(alt (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* b (+ 1 (* 1/2 b)))) (taylor 0 b) (#s(alt (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* b (+ 1 (* 1/2 b)))) (taylor 0 b) (#s(alt (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow b 2)) (taylor inf b) (#s(alt (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1/2 (/ 1 b))) (taylor inf b) (#s(alt (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2))))) (taylor inf b) (#s(alt (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2))))) (taylor inf b) (#s(alt (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow b 2)) (taylor -inf b) (#s(alt (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1/2 (/ 1 b))) (taylor -inf b) (#s(alt (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2))))) (taylor -inf b) (#s(alt (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2))))) (taylor -inf b) (#s(alt (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 b) (#s(alt (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 b)) (taylor 0 b) (#s(alt (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 b)) (taylor 0 b) (#s(alt (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 b)) (taylor 0 b) (#s(alt (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 b) (taylor inf b) (#s(alt (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1/2 (/ 1 b))) (taylor inf b) (#s(alt (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1/2 (/ 1 b))) (taylor inf b) (#s(alt (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1/2 (/ 1 b))) (taylor inf b) (#s(alt (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 b) (taylor -inf b) (#s(alt (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1/2 (/ 1 b))) (taylor -inf b) (#s(alt (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1/2 (/ 1 b))) (taylor -inf b) (#s(alt (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1/2 (/ 1 b))) (taylor -inf b) (#s(alt (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
Calls

33 calls:

TimeVariablePointExpression
0.0ms
a
@inf
(/ 1 (+ 1 (exp (neg a))))
0.0ms
a
@-inf
(/ 1 (+ 1 (exp (neg a))))
0.0ms
a
@-inf
(+ (* a (+ (* -1/48 (* a a)) 1/4)) 1/2)
0.0ms
a
@inf
(+ (* a (+ (* -1/48 (* a a)) 1/4)) 1/2)
0.0ms
b
@-inf
(/ 1 (+ (* b (+ (* b 1/2) 1)) 2))

rewrite319.0ms (4.3%)

Memory
5.8MiB live, 515.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
7 452×lower-fma.f32
7 442×lower-fma.f64
4 932×lower-*.f32
4 930×lower-*.f64
3 838×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01959
03559
115559
2108159
0851259
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
11 → 467
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (+.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)
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64))
(*.f64 a a)
(/.f64 #s(literal 1 binary64) (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))
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
Outputs
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 a) #s(literal 3 binary64))))) (*.f64 (*.f64 (exp.f64 (neg.f64 a)) (expm1.f64 (neg.f64 a))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 a) #s(literal 3 binary64)))))))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 a) a)))) (*.f64 (neg.f64 (exp.f64 (neg.f64 a))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 a) a))))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 a) #s(literal 3 binary64))))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 a) #s(literal 3 binary64))))) (*.f64 (exp.f64 (neg.f64 a)) (expm1.f64 (neg.f64 a)))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 a) #s(literal 3 binary64))))) (*.f64 (exp.f64 (neg.f64 a)) (expm1.f64 (neg.f64 a)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 a) #s(literal 3 binary64))))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 a) a)))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 a) a)))) (neg.f64 (exp.f64 (neg.f64 a)))))
(+.f64 (*.f64 (*.f64 (exp.f64 (neg.f64 a)) (expm1.f64 (neg.f64 a))) (/.f64 #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 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 a) #s(literal 3 binary64))))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 (neg.f64 a))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 a) a)))) (/.f64 (exp.f64 (neg.f64 a)) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 a) a)))))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 a) a))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 a) #s(literal 3 binary64))))) (/.f64 (exp.f64 (neg.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 a) #s(literal 3 binary64))))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 a) #s(literal 3 binary64))))) (*.f64 (*.f64 (exp.f64 (neg.f64 a)) (expm1.f64 (neg.f64 a))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 a) #s(literal 3 binary64)))))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 a) a)))) (*.f64 (neg.f64 (exp.f64 (neg.f64 a))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 a) a))))))
(fma.f64 (*.f64 (exp.f64 (neg.f64 a)) (expm1.f64 (neg.f64 a))) (/.f64 #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 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 a) #s(literal 3 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 a) #s(literal 3 binary64))))) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 a) #s(literal 3 binary64))))) (*.f64 (exp.f64 (neg.f64 a)) (expm1.f64 (neg.f64 a)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 a) #s(literal 3 binary64))))) (*.f64 (exp.f64 (neg.f64 a)) (expm1.f64 (neg.f64 a))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 a) #s(literal 3 binary64))))) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 a) a)))) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 a) a)))) (neg.f64 (exp.f64 (neg.f64 a)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (+.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))))
(/.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 a) a)) (expm1.f64 (neg.f64 a))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 a) #s(literal 3 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 a) a))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 a) a)) (expm1.f64 (neg.f64 a)))) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 (neg.f64 a) #s(literal 3 binary64))))))
(/.f64 (+.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 a))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 a) a)))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (exp.f64 (neg.f64 a)) (expm1.f64 (neg.f64 a))) #s(literal 3 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 a) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (exp.f64 (neg.f64 a)) (expm1.f64 (neg.f64 a))) (-.f64 (*.f64 (exp.f64 (neg.f64 a)) (expm1.f64 (neg.f64 a))) #s(literal 1 binary64))))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (exp.f64 (neg.f64 a)) (expm1.f64 (neg.f64 a))) #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 a) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 a)) (expm1.f64 (neg.f64 a))))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 a) a)))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 a) a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 a) #s(literal 3 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 a) a))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 a) a)) (exp.f64 (neg.f64 a))))))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log1p.f64 (exp.f64 (neg.f64 a)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
(*.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 a) a)) (expm1.f64 (neg.f64 a))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 a) #s(literal 3 binary64))))))
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 a) a)))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 a) #s(literal 3 binary64))))) (-.f64 (exp.f64 (-.f64 (neg.f64 a) a)) (expm1.f64 (neg.f64 a))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 a) #s(literal 3 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (-.f64 (neg.f64 a) a)) (expm1.f64 (neg.f64 a)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 a) a)))) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 a) a)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #s(literal -1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #s(literal -1/2 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)))) (neg.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 a) a)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))))
(exp.f64 (neg.f64 (*.f64 (log1p.f64 (exp.f64 (neg.f64 a))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 a))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) (/.f64 (exp.f64 (-.f64 (neg.f64 a) a)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) #s(literal 1 binary64)) (/.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 a) a)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (exp.f64 (-.f64 (neg.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) (neg.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 a) a)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))))
(fma.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 a))) #s(literal 1 binary64))
(fma.f64 (pow.f64 (exp.f64 a) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 a) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 a #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 a #s(literal 2 binary64))) #s(literal 1 binary64))
(neg.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 a))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (exp.f64 (-.f64 (neg.f64 a) a)) #s(literal 1 binary64)) (exp.f64 (neg.f64 a))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 a) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (neg.f64 a)) (expm1.f64 (-.f64 (neg.f64 a) a))))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.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))) #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 a) #s(literal 3 binary64)))) (-.f64 (exp.f64 (-.f64 (neg.f64 a) a)) (expm1.f64 (neg.f64 a))))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 a) #s(literal 3 binary64)))) (-.f64 (+.f64 (exp.f64 (-.f64 (neg.f64 a) a)) #s(literal 1 binary64)) (exp.f64 (neg.f64 a))))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 a) #s(literal 3 binary64)))) (neg.f64 (neg.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 a) a)) (expm1.f64 (neg.f64 a))))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 a) a))) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 a) a))) (neg.f64 (+.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 a)))))
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 (neg.f64 a) #s(literal 3 binary64))))) (neg.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 a) a)) (expm1.f64 (neg.f64 a)))))
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 (neg.f64 a) #s(literal 3 binary64))))) (neg.f64 (-.f64 (+.f64 (exp.f64 (-.f64 (neg.f64 a) a)) #s(literal 1 binary64)) (exp.f64 (neg.f64 a)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 a) a)))) (+.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 a))))
(/.f64 (expm1.f64 (-.f64 (neg.f64 a) a)) (expm1.f64 (neg.f64 a)))
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (exp.f64 (-.f64 (neg.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 (neg.f64 a) #s(literal 3 binary64))) (expm1.f64 (*.f64 (neg.f64 a) #s(literal 3 binary64))))) (-.f64 (exp.f64 (-.f64 (neg.f64 a) a)) (expm1.f64 (neg.f64 a)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 (neg.f64 a) 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)))) (-.f64 (exp.f64 (-.f64 (neg.f64 a) a)) (expm1.f64 (neg.f64 a)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 (neg.f64 a) a) #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (-.f64 (neg.f64 a) a)) (+.f64 (exp.f64 (-.f64 (neg.f64 a) a)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 a #s(literal -2 binary64) (-.f64 (neg.f64 a) a)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 a) a))) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 (neg.f64 a) #s(literal 3 binary64)))))) (-.f64 (exp.f64 (-.f64 (neg.f64 a) a)) (expm1.f64 (neg.f64 a))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 (neg.f64 a) #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 a) a)) (expm1.f64 (neg.f64 a))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.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) a))))) (neg.f64 (+.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 a)))))
(/.f64 (neg.f64 (expm1.f64 (-.f64 (neg.f64 a) a))) (neg.f64 (expm1.f64 (neg.f64 a))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 a) a)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (-.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)))) (fma.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 a) a)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) (/.f64 (exp.f64 (-.f64 (neg.f64 a) a)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) (/.f64 (exp.f64 (-.f64 (neg.f64 a) a)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.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))))) (*.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 a) a)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) (/.f64 (exp.f64 (-.f64 (neg.f64 a) a)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) (/.f64 (exp.f64 (-.f64 (neg.f64 a) a)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) #s(literal -1 binary64))
(*.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))) #s(literal 1 binary64))
(*.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))) #s(literal -1 binary64))
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(fma.f64 #s(literal 1 binary64) (*.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 #s(literal 1/2 binary64) b #s(literal 1 binary64))
(fma.f64 (*.f64 b #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 b (*.f64 b #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64)))))
(neg.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 b (*.f64 b b)) #s(literal 1 binary64)) (neg.f64 (+.f64 (fma.f64 b (*.f64 b #s(literal 1/4 binary64)) #s(literal 1 binary64)) (*.f64 b #s(literal -1/2 binary64))))))
(neg.f64 (/.f64 (fma.f64 b (*.f64 b #s(literal 1/4 binary64)) #s(literal -1 binary64)) (fma.f64 b #s(literal -1/2 binary64) #s(literal 1 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 b (*.f64 b b)) #s(literal 1 binary64))) (+.f64 (fma.f64 b (*.f64 b #s(literal 1/4 binary64)) #s(literal 1 binary64)) (*.f64 b #s(literal -1/2 binary64)))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 b (*.f64 b #s(literal 1/4 binary64)) #s(literal -1 binary64))) (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (-.f64 (*.f64 b #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 1/8 binary64) (*.f64 b (*.f64 b b)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 b b)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 b (*.f64 b b)) #s(literal 1 binary64)) (+.f64 (fma.f64 b (*.f64 b #s(literal 1/4 binary64)) #s(literal 1 binary64)) (*.f64 b #s(literal -1/2 binary64))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 b (*.f64 b b)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 b (-.f64 (*.f64 b #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 b (*.f64 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 (fma.f64 #s(literal 1/8 binary64) (*.f64 b (*.f64 b b)) #s(literal 1 binary64))) (neg.f64 (+.f64 (fma.f64 b (*.f64 b #s(literal 1/4 binary64)) #s(literal 1 binary64)) (*.f64 b #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 b (*.f64 b b)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (-.f64 (*.f64 b #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (fma.f64 b (*.f64 b #s(literal 1/4 binary64)) #s(literal -1 binary64))) (fma.f64 b #s(literal -1/2 binary64) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 b b))) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal -1/2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 b (*.f64 b #s(literal 1/4 binary64))) (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)) #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))))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) #s(literal 1 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 b (*.f64 b b)))) (+.f64 (fma.f64 b (*.f64 b #s(literal 1/4 binary64)) #s(literal 1 binary64)) (*.f64 b #s(literal -1/2 binary64)))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) #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 (fma.f64 b (*.f64 b #s(literal 1/4 binary64)) #s(literal 1 binary64)) (*.f64 b #s(literal -1/2 binary64)))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 b b) (*.f64 b b)) (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal 1/4 binary64))))) (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 b (*.f64 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 (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 b (*.f64 b #s(literal 1/4 binary64)) #s(literal 1 binary64)) (*.f64 b #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 b (*.f64 b #s(literal 1/4 binary64)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 b #s(literal -1/2 binary64) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 b b)))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 b (*.f64 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 b (*.f64 b #s(literal 1/4 binary64))) (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 (*.f64 b (*.f64 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 b (*.f64 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)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 b (*.f64 b #s(literal 1/4 binary64))) (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 (*.f64 b (*.f64 b #s(literal 1/4 binary64))) (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64)))) (*.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 b (*.f64 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 #s(literal 1 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (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)) #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 b (*.f64 b #s(literal 1/4 binary64)) #s(literal 1 binary64)) (*.f64 b #s(literal -1/2 binary64)))))
(*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 b (*.f64 b b)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 b (-.f64 (*.f64 b #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))))
(*.f64 (fma.f64 b (*.f64 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 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 b (*.f64 b b)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 b (*.f64 b #s(literal 1/4 binary64)) #s(literal 1 binary64)) (*.f64 b #s(literal -1/2 binary64))))))
(*.f64 (neg.f64 (fma.f64 b (*.f64 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 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal -1/2 binary64)))))

simplify648.0ms (8.7%)

Memory
-177.9MiB live, 544.7MiB allocated
Algorithm
1×egg-herbie
Rules
15 668×lower-fma.f64
15 668×lower-fma.f32
4 330×lower-*.f64
4 330×lower-*.f32
3 022×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0136793
1359784
2900784
33120774
47778774
08253697
Stop Event
1×iter limit
1×node limit
Counts
132 → 132
Calls
Call 1
Inputs
1/2
(+ 1/2 (* 1/4 a))
(+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))
(+ 1/2 (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))))
(/ 1 (+ 1 (exp (neg a))))
(/ 1 (+ 1 (exp (neg a))))
(/ 1 (+ 1 (exp (neg a))))
(/ 1 (+ 1 (exp (neg a))))
(/ 1 (+ 1 (exp (* -1 a))))
(/ 1 (+ 1 (exp (* -1 a))))
(/ 1 (+ 1 (exp (* -1 a))))
(/ 1 (+ 1 (exp (* -1 a))))
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 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
1/2
(+ 1/2 (* -1/4 b))
(+ 1/2 (* -1/4 b))
(+ 1/2 (* -1/4 b))
(* -1/4 b)
(* b (- (* 1/2 (/ 1 b)) 1/4))
(* b (- (* 1/2 (/ 1 b)) 1/4))
(* b (- (* 1/2 (/ 1 b)) 1/4))
(* -1/4 b)
(* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))
(* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))
(* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))
1/2
(+ 1/2 (* 1/4 a))
(+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))
(+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))
(* -1/48 (pow a 3))
(* (pow a 3) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48))
(* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48))
(* -1/48 (pow a 3))
(* -1 (* (pow a 3) (- 1/48 (* 1/4 (/ 1 (pow a 2))))))
(* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 2))))))
(* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 2))))))
1/4
(+ 1/4 (* -1/48 (pow a 2)))
(+ 1/4 (* -1/48 (pow a 2)))
(+ 1/4 (* -1/48 (pow a 2)))
(* -1/48 (pow a 2))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(* -1/48 (pow a 2))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
1/2
(+ 1/2 (* -1/4 b))
(+ 1/2 (* b (- (* 1/16 (pow b 2)) 1/4)))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/16 (* -1/32 b))) 1/4)))
(/ 2 (pow b 2))
(/ (- 2 (* 4 (/ 1 b))) (pow b 2))
(/ (- (+ 2 (/ 16 (pow b 3))) (* 4 (/ 1 b))) (pow b 2))
(/ (- (+ 2 (/ 16 (pow b 3))) (+ (* 4 (/ 1 b)) (* 32 (/ 1 (pow b 4))))) (pow b 2))
(/ 2 (pow b 2))
(/ (- 2 (* 4 (/ 1 b))) (pow b 2))
(/ (+ 2 (* -1 (/ (- 4 (* 16 (/ 1 (pow b 2)))) b))) (pow b 2))
(/ (+ 2 (* -1 (/ (- (+ 4 (/ 32 (pow b 3))) (* 16 (/ 1 (pow b 2)))) b))) (pow b 2))
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 (* 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)))
Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 a))
(fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))
(+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))
(fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))))
(fma.f64 a (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/480 binary64)) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(/ 1 (+ 1 (exp (neg a))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
(/ 1 (+ 1 (exp (neg a))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
(/ 1 (+ 1 (exp (neg a))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
(/ 1 (+ 1 (exp (neg a))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
(/ 1 (+ 1 (exp (* -1 a))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
(/ 1 (+ 1 (exp (* -1 a))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
(/ 1 (+ 1 (exp (* -1 a))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
(/ 1 (+ 1 (exp (* -1 a))))
(/.f64 #s(literal 1 binary64) (+.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 #s(literal 1/2 binary64) a #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)))
1
#s(literal 1 binary64)
(+ 1 (* -1 a))
(-.f64 #s(literal 1 binary64) a)
(+ 1 (* a (- (* 1/2 a) 1)))
(fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* 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 1 binary64))
(exp (neg a))
(exp.f64 (neg.f64 a))
(exp (neg a))
(exp.f64 (neg.f64 a))
(exp (neg a))
(exp.f64 (neg.f64 a))
(exp (neg a))
(exp.f64 (neg.f64 a))
(exp (* -1 a))
(exp.f64 (neg.f64 a))
(exp (* -1 a))
(exp.f64 (neg.f64 a))
(exp (* -1 a))
(exp.f64 (neg.f64 a))
(exp (* -1 a))
(exp.f64 (neg.f64 a))
(* -1 a)
(neg.f64 a)
(* -1 a)
(neg.f64 a)
(* -1 a)
(neg.f64 a)
(* -1 a)
(neg.f64 a)
(* -1 a)
(neg.f64 a)
(* -1 a)
(neg.f64 a)
(* -1 a)
(neg.f64 a)
(* -1 a)
(neg.f64 a)
(* -1 a)
(neg.f64 a)
(* -1 a)
(neg.f64 a)
(* -1 a)
(neg.f64 a)
(* -1 a)
(neg.f64 a)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 b))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
(+ 1/2 (* -1/4 b))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
(+ 1/2 (* -1/4 b))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* b (- (* 1/2 (/ 1 b)) 1/4))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
(* b (- (* 1/2 (/ 1 b)) 1/4))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
(* b (- (* 1/2 (/ 1 b)) 1/4))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
(* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
(* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 a))
(fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))
(+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))
(fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))
(fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(* -1/48 (pow a 3))
(*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
(* (pow a 3) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(*.f64 a (fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64)))
(* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48))
(*.f64 a (fma.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/4 binary64)))
(* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48))
(*.f64 a (fma.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/4 binary64)))
(* -1/48 (pow a 3))
(*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
(* -1 (* (pow a 3) (- 1/48 (* 1/4 (/ 1 (pow a 2))))))
(*.f64 a (fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64)))
(* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 2))))))
(*.f64 a (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 a a)))))
(* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 2))))))
(*.f64 a (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 a a)))))
1/4
#s(literal 1/4 binary64)
(+ 1/4 (* -1/48 (pow a 2)))
(fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64))
(+ 1/4 (* -1/48 (pow a 2)))
(fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64))
(+ 1/4 (* -1/48 (pow a 2)))
(fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64))
(* -1/48 (pow a 2))
(*.f64 a (*.f64 a #s(literal -1/48 binary64)))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64))
(* -1/48 (pow a 2))
(*.f64 a (*.f64 a #s(literal -1/48 binary64)))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64))
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 b))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
(+ 1/2 (* b (- (* 1/16 (pow b 2)) 1/4)))
(fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/16 (* -1/32 b))) 1/4)))
(fma.f64 b (fma.f64 (*.f64 b b) (fma.f64 b #s(literal -1/32 binary64) #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/ 2 (pow b 2))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(/ (- 2 (* 4 (/ 1 b))) (pow b 2))
(/.f64 (fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64)) (*.f64 b (*.f64 b b)))
(/ (- (+ 2 (/ 16 (pow b 3))) (* 4 (/ 1 b))) (pow b 2))
(/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64)) (/.f64 #s(literal 16 binary64) (*.f64 b b))) (*.f64 b (*.f64 b b)))
(/ (- (+ 2 (/ 16 (pow b 3))) (+ (* 4 (/ 1 b)) (* 32 (/ 1 (pow b 4))))) (pow b 2))
(/.f64 (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64)) (/.f64 #s(literal 16 binary64) (*.f64 b b))) (/.f64 #s(literal -32 binary64) (*.f64 b (*.f64 b b)))) (*.f64 b (*.f64 b b)))
(/ 2 (pow b 2))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(/ (- 2 (* 4 (/ 1 b))) (pow b 2))
(/.f64 (fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64)) (*.f64 b (*.f64 b b)))
(/ (+ 2 (* -1 (/ (- 4 (* 16 (/ 1 (pow b 2)))) b))) (pow b 2))
(/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64)) (/.f64 #s(literal 16 binary64) (*.f64 b b))) (*.f64 b (*.f64 b b)))
(/ (+ 2 (* -1 (/ (- (+ 4 (/ 32 (pow b 3))) (* 16 (/ 1 (pow b 2)))) b))) (pow b 2))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -16 binary64) (*.f64 b b))) (/.f64 #s(literal 32 binary64) (*.f64 b (*.f64 b b)))) b)) (*.f64 b b))
2
#s(literal 2 binary64)
(+ 2 b)
(+.f64 #s(literal 2 binary64) b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 binary64))
(+ 2 (* b (+ 1 (* 1/2 b))))
(fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 binary64))
(* 1/2 (pow b 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 b b))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 binary64))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 binary64))
(* 1/2 (pow b 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 b b))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 binary64))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 b))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
(+ 1 (* 1/2 b))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
(+ 1 (* 1/2 b))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* b (+ 1/2 (/ 1 b)))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
(* b (+ 1/2 (/ 1 b)))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
(* b (+ 1/2 (/ 1 b)))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* b (+ 1/2 (/ 1 b)))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
(* b (+ 1/2 (/ 1 b)))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
(* b (+ 1/2 (/ 1 b)))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))

eval74.0ms (1%)

Memory
16.8MiB live, 167.5MiB allocated
Compiler

Compiled 13 297 to 1 656 computations (87.5% saved)

prune98.0ms (1.3%)

Memory
8.8MiB live, 206.8MiB allocated
Pruning

26 alts after pruning (20 fresh and 6 done)

PrunedKeptTotal
New58514599
Fresh066
Picked055
Done011
Total58526611
Accuracy
100.0%
Counts
611 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
32.8%
(fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
✓33.5%
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
35.7%
(fma.f64 a (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
✓35.6%
(fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
34.8%
(fma.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64))) #s(literal 1/2 binary64))
35.6%
(fma.f64 a #s(literal 1/4 binary64) (fma.f64 (*.f64 a a) (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/2 binary64)))
35.7%
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
42.0%
(/.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 b b) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -4 binary64)))
▶22.9%
(/.f64 (fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64)) (*.f64 b (*.f64 b b)))
34.3%
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 b b) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -4 binary64))) (*.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 b b) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
▶60.6%
(/.f64 (exp.f64 a) #s(literal 2 binary64))
17.6%
(/.f64 #s(literal 2 binary64) (*.f64 b b))
47.6%
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) #s(literal 1/2 binary64) (+.f64 b #s(literal 2 binary64))))
53.8%
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
✓47.7%
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
54.6%
(/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))
51.6%
(/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) #s(literal 2 binary64)))
▶17.4%
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b))
36.3%
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) a))
33.6%
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
✓62.4%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
✓80.5%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
11.2%
(*.f64 a (fma.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/4 binary64)))
▶17.5%
(*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
▶3.7%
(*.f64 #s(literal -1/4 binary64) b)
✓35.3%
#s(literal 1/2 binary64)
Compiler

Compiled 554 to 361 computations (34.8% saved)

simplify10.0ms (0.1%)

Memory
-20.4MiB live, 17.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 b b)
✓cost-diff0
(*.f64 b (*.f64 b b))
✓cost-diff0
(fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64))
✓cost-diff0
(/.f64 (fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64)) (*.f64 b (*.f64 b b)))
✓cost-diff0
(*.f64 b b)
✓cost-diff0
(fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b))
✓cost-diff0
(*.f64 a #s(literal -1/48 binary64))
✓cost-diff0
(*.f64 a (*.f64 a #s(literal -1/48 binary64)))
✓cost-diff0
(*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
✓cost-diff0
(*.f64 #s(literal -1/4 binary64) b)
✓cost-diff0
(exp.f64 a)
✓cost-diff0
(/.f64 (exp.f64 a) #s(literal 2 binary64))
Rules
96×lower-*.f32
84×lower-*.f64
38×lower-/.f32
32×lower-/.f64
32×lower-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02075
03471
15471
26969
37569
48369
58369
612269
712269
012269
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) #s(literal 2 binary64))
(exp.f64 a)
a
#s(literal 2 binary64)
(*.f64 #s(literal -1/4 binary64) b)
#s(literal -1/4 binary64)
b
(*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
a
(*.f64 a (*.f64 a #s(literal -1/48 binary64)))
(*.f64 a #s(literal -1/48 binary64))
#s(literal -1/48 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b))
#s(literal 1 binary64)
(fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)
#s(literal 1/2 binary64)
(*.f64 b b)
b
(/.f64 (fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64)) (*.f64 b (*.f64 b b)))
(fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64))
#s(literal 2 binary64)
b
#s(literal -4 binary64)
(*.f64 b (*.f64 b b))
(*.f64 b b)
Outputs
(/.f64 (exp.f64 a) #s(literal 2 binary64))
(exp.f64 a)
a
#s(literal 2 binary64)
(*.f64 #s(literal -1/4 binary64) b)
#s(literal -1/4 binary64)
b
(*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
(*.f64 a (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))
a
(*.f64 a (*.f64 a #s(literal -1/48 binary64)))
(*.f64 #s(literal -1/48 binary64) (*.f64 a a))
(*.f64 a #s(literal -1/48 binary64))
#s(literal -1/48 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b))
(/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b))
#s(literal 1 binary64)
(fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)
(fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)
#s(literal 1/2 binary64)
(*.f64 b b)
b
(/.f64 (fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64)) (*.f64 b (*.f64 b b)))
(fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64))
#s(literal 2 binary64)
b
#s(literal -4 binary64)
(*.f64 b (*.f64 b b))
(*.f64 b b)

localize62.0ms (0.8%)

Memory
30.4MiB live, 106.5MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64))
✓accuracy100.0%
(*.f64 b b)
✓accuracy99.8%
(*.f64 b (*.f64 b b))
✓accuracy90.8%
(/.f64 (fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64)) (*.f64 b (*.f64 b b)))
✓accuracy100.0%
(*.f64 b b)
✓accuracy100.0%
(fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)
✓accuracy99.5%
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b))
✓accuracy99.9%
(*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
✓accuracy99.8%
(*.f64 a (*.f64 a #s(literal -1/48 binary64)))
✓accuracy99.5%
(*.f64 a #s(literal -1/48 binary64))
✓accuracy100.0%
(*.f64 #s(literal -1/4 binary64) b)
✓accuracy100.0%
(/.f64 (exp.f64 a) #s(literal 2 binary64))
✓accuracy100.0%
(exp.f64 a)
Samples
41.0ms256×0valid
Compiler

Compiled 81 to 24 computations (70.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-mult: 13.0ms (45.4% of total)
ival-div: 6.0ms (20.9% of total)
const: 4.0ms (14% of total)
ival-add: 3.0ms (10.5% of total)
ival-exp: 2.0ms (7% of total)
exact: 1.0ms (3.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series15.0ms (0.2%)

Memory
-25.8MiB live, 14.4MiB allocated
Counts
12 → 144
Calls
Call 1
Inputs
#s(alt (/.f64 (exp.f64 a) #s(literal 2 binary64)) (patch (/.f64 (exp.f64 a) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -1/4 binary64) b) (patch (*.f64 #s(literal -1/4 binary64) b) #<representation binary64>) () ())
#s(alt (*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64)))) (patch (*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 a (*.f64 a #s(literal -1/48 binary64))) (patch (*.f64 a (*.f64 a #s(literal -1/48 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 a #s(literal -1/48 binary64)) (patch (*.f64 a #s(literal -1/48 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b) (patch (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b) #<representation binary64>) () ())
#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64)) (*.f64 b (*.f64 b b))) (patch (/.f64 (fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64)) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64)) (patch (fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 b (*.f64 b b)) (patch (*.f64 b (*.f64 b b)) #<representation binary64>) () ())
Outputs
#s(alt 1/2 (taylor 0 a) (#s(alt (/.f64 (exp.f64 a) #s(literal 2 binary64)) (patch (/.f64 (exp.f64 a) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/2 a)) (taylor 0 a) (#s(alt (/.f64 (exp.f64 a) #s(literal 2 binary64)) (patch (/.f64 (exp.f64 a) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* a (+ 1/2 (* 1/4 a)))) (taylor 0 a) (#s(alt (/.f64 (exp.f64 a) #s(literal 2 binary64)) (patch (/.f64 (exp.f64 a) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* a (+ 1/2 (* a (+ 1/4 (* 1/12 a)))))) (taylor 0 a) (#s(alt (/.f64 (exp.f64 a) #s(literal 2 binary64)) (patch (/.f64 (exp.f64 a) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (exp a)) (taylor inf a) (#s(alt (/.f64 (exp.f64 a) #s(literal 2 binary64)) (patch (/.f64 (exp.f64 a) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (exp a)) (taylor inf a) (#s(alt (/.f64 (exp.f64 a) #s(literal 2 binary64)) (patch (/.f64 (exp.f64 a) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (exp a)) (taylor inf a) (#s(alt (/.f64 (exp.f64 a) #s(literal 2 binary64)) (patch (/.f64 (exp.f64 a) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (exp a)) (taylor inf a) (#s(alt (/.f64 (exp.f64 a) #s(literal 2 binary64)) (patch (/.f64 (exp.f64 a) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (exp a)) (taylor -inf a) (#s(alt (/.f64 (exp.f64 a) #s(literal 2 binary64)) (patch (/.f64 (exp.f64 a) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (exp a)) (taylor -inf a) (#s(alt (/.f64 (exp.f64 a) #s(literal 2 binary64)) (patch (/.f64 (exp.f64 a) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (exp a)) (taylor -inf a) (#s(alt (/.f64 (exp.f64 a) #s(literal 2 binary64)) (patch (/.f64 (exp.f64 a) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (exp a)) (taylor -inf a) (#s(alt (/.f64 (exp.f64 a) #s(literal 2 binary64)) (patch (/.f64 (exp.f64 a) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ())
#s(alt (+ 1 a) (taylor 0 a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* a (+ 1 (* 1/2 a)))) (taylor 0 a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) (taylor 0 a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ())
#s(alt (exp a) (taylor inf a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ())
#s(alt (exp a) (taylor inf a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ())
#s(alt (exp a) (taylor inf a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ())
#s(alt (exp a) (taylor inf a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ())
#s(alt (exp a) (taylor -inf a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ())
#s(alt (exp a) (taylor -inf a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ())
#s(alt (exp a) (taylor -inf a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ())
#s(alt (exp a) (taylor -inf a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ())
#s(alt (* -1/4 b) (taylor 0 b) (#s(alt (*.f64 #s(literal -1/4 binary64) b) (patch (*.f64 #s(literal -1/4 binary64) b) #<representation binary64>) () ())) ())
#s(alt (* -1/4 b) (taylor 0 b) (#s(alt (*.f64 #s(literal -1/4 binary64) b) (patch (*.f64 #s(literal -1/4 binary64) b) #<representation binary64>) () ())) ())
#s(alt (* -1/4 b) (taylor 0 b) (#s(alt (*.f64 #s(literal -1/4 binary64) b) (patch (*.f64 #s(literal -1/4 binary64) b) #<representation binary64>) () ())) ())
#s(alt (* -1/4 b) (taylor 0 b) (#s(alt (*.f64 #s(literal -1/4 binary64) b) (patch (*.f64 #s(literal -1/4 binary64) b) #<representation binary64>) () ())) ())
#s(alt (* -1/4 b) (taylor inf b) (#s(alt (*.f64 #s(literal -1/4 binary64) b) (patch (*.f64 #s(literal -1/4 binary64) b) #<representation binary64>) () ())) ())
#s(alt (* -1/4 b) (taylor inf b) (#s(alt (*.f64 #s(literal -1/4 binary64) b) (patch (*.f64 #s(literal -1/4 binary64) b) #<representation binary64>) () ())) ())
#s(alt (* -1/4 b) (taylor inf b) (#s(alt (*.f64 #s(literal -1/4 binary64) b) (patch (*.f64 #s(literal -1/4 binary64) b) #<representation binary64>) () ())) ())
#s(alt (* -1/4 b) (taylor inf b) (#s(alt (*.f64 #s(literal -1/4 binary64) b) (patch (*.f64 #s(literal -1/4 binary64) b) #<representation binary64>) () ())) ())
#s(alt (* -1/4 b) (taylor -inf b) (#s(alt (*.f64 #s(literal -1/4 binary64) b) (patch (*.f64 #s(literal -1/4 binary64) b) #<representation binary64>) () ())) ())
#s(alt (* -1/4 b) (taylor -inf b) (#s(alt (*.f64 #s(literal -1/4 binary64) b) (patch (*.f64 #s(literal -1/4 binary64) b) #<representation binary64>) () ())) ())
#s(alt (* -1/4 b) (taylor -inf b) (#s(alt (*.f64 #s(literal -1/4 binary64) b) (patch (*.f64 #s(literal -1/4 binary64) b) #<representation binary64>) () ())) ())
#s(alt (* -1/4 b) (taylor -inf b) (#s(alt (*.f64 #s(literal -1/4 binary64) b) (patch (*.f64 #s(literal -1/4 binary64) b) #<representation binary64>) () ())) ())
#s(alt (* -1/48 (pow a 3)) (taylor 0 a) (#s(alt (*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64)))) (patch (*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1/48 (pow a 3)) (taylor 0 a) (#s(alt (*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64)))) (patch (*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1/48 (pow a 3)) (taylor 0 a) (#s(alt (*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64)))) (patch (*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1/48 (pow a 3)) (taylor 0 a) (#s(alt (*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64)))) (patch (*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1/48 (pow a 3)) (taylor inf a) (#s(alt (*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64)))) (patch (*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1/48 (pow a 3)) (taylor inf a) (#s(alt (*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64)))) (patch (*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1/48 (pow a 3)) (taylor inf a) (#s(alt (*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64)))) (patch (*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1/48 (pow a 3)) (taylor inf a) (#s(alt (*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64)))) (patch (*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1/48 (pow a 3)) (taylor -inf a) (#s(alt (*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64)))) (patch (*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1/48 (pow a 3)) (taylor -inf a) (#s(alt (*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64)))) (patch (*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1/48 (pow a 3)) (taylor -inf a) (#s(alt (*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64)))) (patch (*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1/48 (pow a 3)) (taylor -inf a) (#s(alt (*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64)))) (patch (*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1/48 (pow a 2)) (taylor 0 a) (#s(alt (*.f64 a (*.f64 a #s(literal -1/48 binary64))) (patch (*.f64 a (*.f64 a #s(literal -1/48 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/48 (pow a 2)) (taylor 0 a) (#s(alt (*.f64 a (*.f64 a #s(literal -1/48 binary64))) (patch (*.f64 a (*.f64 a #s(literal -1/48 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/48 (pow a 2)) (taylor 0 a) (#s(alt (*.f64 a (*.f64 a #s(literal -1/48 binary64))) (patch (*.f64 a (*.f64 a #s(literal -1/48 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/48 (pow a 2)) (taylor 0 a) (#s(alt (*.f64 a (*.f64 a #s(literal -1/48 binary64))) (patch (*.f64 a (*.f64 a #s(literal -1/48 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/48 (pow a 2)) (taylor inf a) (#s(alt (*.f64 a (*.f64 a #s(literal -1/48 binary64))) (patch (*.f64 a (*.f64 a #s(literal -1/48 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/48 (pow a 2)) (taylor inf a) (#s(alt (*.f64 a (*.f64 a #s(literal -1/48 binary64))) (patch (*.f64 a (*.f64 a #s(literal -1/48 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/48 (pow a 2)) (taylor inf a) (#s(alt (*.f64 a (*.f64 a #s(literal -1/48 binary64))) (patch (*.f64 a (*.f64 a #s(literal -1/48 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/48 (pow a 2)) (taylor inf a) (#s(alt (*.f64 a (*.f64 a #s(literal -1/48 binary64))) (patch (*.f64 a (*.f64 a #s(literal -1/48 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/48 (pow a 2)) (taylor -inf a) (#s(alt (*.f64 a (*.f64 a #s(literal -1/48 binary64))) (patch (*.f64 a (*.f64 a #s(literal -1/48 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/48 (pow a 2)) (taylor -inf a) (#s(alt (*.f64 a (*.f64 a #s(literal -1/48 binary64))) (patch (*.f64 a (*.f64 a #s(literal -1/48 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/48 (pow a 2)) (taylor -inf a) (#s(alt (*.f64 a (*.f64 a #s(literal -1/48 binary64))) (patch (*.f64 a (*.f64 a #s(literal -1/48 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/48 (pow a 2)) (taylor -inf a) (#s(alt (*.f64 a (*.f64 a #s(literal -1/48 binary64))) (patch (*.f64 a (*.f64 a #s(literal -1/48 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/48 a) (taylor 0 a) (#s(alt (*.f64 a #s(literal -1/48 binary64)) (patch (*.f64 a #s(literal -1/48 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/48 a) (taylor 0 a) (#s(alt (*.f64 a #s(literal -1/48 binary64)) (patch (*.f64 a #s(literal -1/48 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/48 a) (taylor 0 a) (#s(alt (*.f64 a #s(literal -1/48 binary64)) (patch (*.f64 a #s(literal -1/48 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/48 a) (taylor 0 a) (#s(alt (*.f64 a #s(literal -1/48 binary64)) (patch (*.f64 a #s(literal -1/48 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/48 a) (taylor inf a) (#s(alt (*.f64 a #s(literal -1/48 binary64)) (patch (*.f64 a #s(literal -1/48 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/48 a) (taylor inf a) (#s(alt (*.f64 a #s(literal -1/48 binary64)) (patch (*.f64 a #s(literal -1/48 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/48 a) (taylor inf a) (#s(alt (*.f64 a #s(literal -1/48 binary64)) (patch (*.f64 a #s(literal -1/48 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/48 a) (taylor inf a) (#s(alt (*.f64 a #s(literal -1/48 binary64)) (patch (*.f64 a #s(literal -1/48 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/48 a) (taylor -inf a) (#s(alt (*.f64 a #s(literal -1/48 binary64)) (patch (*.f64 a #s(literal -1/48 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/48 a) (taylor -inf a) (#s(alt (*.f64 a #s(literal -1/48 binary64)) (patch (*.f64 a #s(literal -1/48 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/48 a) (taylor -inf a) (#s(alt (*.f64 a #s(literal -1/48 binary64)) (patch (*.f64 a #s(literal -1/48 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/48 a) (taylor -inf a) (#s(alt (*.f64 a #s(literal -1/48 binary64)) (patch (*.f64 a #s(literal -1/48 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 b) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1/2 b)) b) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* b (- (* 1/4 b) 1/2))) b) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* b (- (* b (+ 1/4 (* -1/8 b))) 1/2))) b) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow b 2)) (taylor inf b) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)) #<representation binary64>) () ())) ())
#s(alt (/ (- 2 (* 4 (/ 1 b))) (pow b 2)) (taylor inf b) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 2 (/ 8 (pow b 2))) (* 4 (/ 1 b))) (pow b 2)) (taylor inf b) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 2 (/ 8 (pow b 2))) (+ (* 4 (/ 1 b)) (* 16 (/ 1 (pow b 3))))) (pow b 2)) (taylor inf b) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow b 2)) (taylor -inf b) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)) #<representation binary64>) () ())) ())
#s(alt (/ (- 2 (* 4 (/ 1 b))) (pow b 2)) (taylor -inf b) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 b))) b))) (pow b 2)) (taylor -inf b) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* -1 (/ (+ 4 (* -1 (/ (- 8 (* 16 (/ 1 b))) b))) b))) (pow b 2)) (taylor -inf b) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)) #<representation binary64>) () ())) ())
#s(alt b (taylor 0 b) (#s(alt (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b) (patch (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (* 1/2 b))) (taylor 0 b) (#s(alt (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b) (patch (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (* 1/2 b))) (taylor 0 b) (#s(alt (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b) (patch (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (* 1/2 b))) (taylor 0 b) (#s(alt (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b) (patch (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow b 2)) (taylor inf b) (#s(alt (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b) (patch (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1/2 (/ 1 b))) (taylor inf b) (#s(alt (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b) (patch (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1/2 (/ 1 b))) (taylor inf b) (#s(alt (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b) (patch (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1/2 (/ 1 b))) (taylor inf b) (#s(alt (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b) (patch (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow b 2)) (taylor -inf b) (#s(alt (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b) (patch (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1/2 (/ 1 b))) (taylor -inf b) (#s(alt (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b) (patch (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1/2 (/ 1 b))) (taylor -inf b) (#s(alt (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b) (patch (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1/2 (/ 1 b))) (taylor -inf b) (#s(alt (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b) (patch (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor 0 b) (#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor 0 b) (#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor 0 b) (#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor 0 b) (#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor inf b) (#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor inf b) (#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor inf b) (#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor inf b) (#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor -inf b) (#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor -inf b) (#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor -inf b) (#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor -inf b) (#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ())) ())
#s(alt (/ -4 (pow b 3)) (taylor 0 b) (#s(alt (/.f64 (fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64)) (*.f64 b (*.f64 b b))) (patch (/.f64 (fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64)) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 2 b) 4) (pow b 3)) (taylor 0 b) (#s(alt (/.f64 (fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64)) (*.f64 b (*.f64 b b))) (patch (/.f64 (fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64)) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 2 b) 4) (pow b 3)) (taylor 0 b) (#s(alt (/.f64 (fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64)) (*.f64 b (*.f64 b b))) (patch (/.f64 (fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64)) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 2 b) 4) (pow b 3)) (taylor 0 b) (#s(alt (/.f64 (fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64)) (*.f64 b (*.f64 b b))) (patch (/.f64 (fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64)) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow b 2)) (taylor inf b) (#s(alt (/.f64 (fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64)) (*.f64 b (*.f64 b b))) (patch (/.f64 (fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64)) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ (- 2 (* 4 (/ 1 b))) (pow b 2)) (taylor inf b) (#s(alt (/.f64 (fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64)) (*.f64 b (*.f64 b b))) (patch (/.f64 (fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64)) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ (- 2 (* 4 (/ 1 b))) (pow b 2)) (taylor inf b) (#s(alt (/.f64 (fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64)) (*.f64 b (*.f64 b b))) (patch (/.f64 (fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64)) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ (- 2 (* 4 (/ 1 b))) (pow b 2)) (taylor inf b) (#s(alt (/.f64 (fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64)) (*.f64 b (*.f64 b b))) (patch (/.f64 (fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64)) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow b 2)) (taylor -inf b) (#s(alt (/.f64 (fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64)) (*.f64 b (*.f64 b b))) (patch (/.f64 (fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64)) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ (- 2 (* 4 (/ 1 b))) (pow b 2)) (taylor -inf b) (#s(alt (/.f64 (fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64)) (*.f64 b (*.f64 b b))) (patch (/.f64 (fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64)) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ (- 2 (* 4 (/ 1 b))) (pow b 2)) (taylor -inf b) (#s(alt (/.f64 (fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64)) (*.f64 b (*.f64 b b))) (patch (/.f64 (fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64)) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ (- 2 (* 4 (/ 1 b))) (pow b 2)) (taylor -inf b) (#s(alt (/.f64 (fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64)) (*.f64 b (*.f64 b b))) (patch (/.f64 (fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64)) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt -4 (taylor 0 b) (#s(alt (fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64)) (patch (fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 2 b) 4) (taylor 0 b) (#s(alt (fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64)) (patch (fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 2 b) 4) (taylor 0 b) (#s(alt (fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64)) (patch (fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 2 b) 4) (taylor 0 b) (#s(alt (fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64)) (patch (fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 b) (taylor inf b) (#s(alt (fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64)) (patch (fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* b (- 2 (* 4 (/ 1 b)))) (taylor inf b) (#s(alt (fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64)) (patch (fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* b (- 2 (* 4 (/ 1 b)))) (taylor inf b) (#s(alt (fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64)) (patch (fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* b (- 2 (* 4 (/ 1 b)))) (taylor inf b) (#s(alt (fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64)) (patch (fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 b) (taylor -inf b) (#s(alt (fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64)) (patch (fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (* 4 (/ 1 b)) 2))) (taylor -inf b) (#s(alt (fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64)) (patch (fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (* 4 (/ 1 b)) 2))) (taylor -inf b) (#s(alt (fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64)) (patch (fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (* 4 (/ 1 b)) 2))) (taylor -inf b) (#s(alt (fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64)) (patch (fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow b 3) (taylor 0 b) (#s(alt (*.f64 b (*.f64 b b)) (patch (*.f64 b (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow b 3) (taylor 0 b) (#s(alt (*.f64 b (*.f64 b b)) (patch (*.f64 b (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow b 3) (taylor 0 b) (#s(alt (*.f64 b (*.f64 b b)) (patch (*.f64 b (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow b 3) (taylor 0 b) (#s(alt (*.f64 b (*.f64 b b)) (patch (*.f64 b (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow b 3) (taylor inf b) (#s(alt (*.f64 b (*.f64 b b)) (patch (*.f64 b (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow b 3) (taylor inf b) (#s(alt (*.f64 b (*.f64 b b)) (patch (*.f64 b (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow b 3) (taylor inf b) (#s(alt (*.f64 b (*.f64 b b)) (patch (*.f64 b (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow b 3) (taylor inf b) (#s(alt (*.f64 b (*.f64 b b)) (patch (*.f64 b (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow b 3) (taylor -inf b) (#s(alt (*.f64 b (*.f64 b b)) (patch (*.f64 b (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow b 3) (taylor -inf b) (#s(alt (*.f64 b (*.f64 b b)) (patch (*.f64 b (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow b 3) (taylor -inf b) (#s(alt (*.f64 b (*.f64 b b)) (patch (*.f64 b (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow b 3) (taylor -inf b) (#s(alt (*.f64 b (*.f64 b b)) (patch (*.f64 b (*.f64 b b)) #<representation binary64>) () ())) ())
Calls

36 calls:

TimeVariablePointExpression
4.0ms
b
@inf
(* b (* b b))
1.0ms
a
@0
(* a (* a (* a -1/48)))
1.0ms
b
@-inf
(* b (* b b))
0.0ms
b
@0
(/ (+ (* 2 b) -4) (* b (* b b)))
0.0ms
a
@inf
(* a (* a (* a -1/48)))

rewrite298.0ms (4%)

Memory
33.5MiB live, 463.9MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 092×lower-fma.f32
5 088×lower-fma.f64
4 578×lower-*.f32
4 566×lower-*.f64
2 672×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02060
03456
110256
251854
3469454
0839054
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
12 → 519
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) #s(literal 2 binary64))
(exp.f64 a)
(*.f64 #s(literal -1/4 binary64) b)
(*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
(*.f64 a (*.f64 a #s(literal -1/48 binary64)))
(*.f64 a #s(literal -1/48 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b))
(fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)
(*.f64 b b)
(/.f64 (fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64)) (*.f64 b (*.f64 b b)))
(fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64))
(*.f64 b (*.f64 b b))
Outputs
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 a)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (exp.f64 a) #s(literal -1/2 binary64)))
(neg.f64 (*.f64 (exp.f64 a) #s(literal -1/2 binary64)))
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) #s(literal -1/2 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 a)))))
(/.f64 (exp.f64 a) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 a))))
(/.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 a)))
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 a))))
(/.f64 (neg.f64 (exp.f64 a)) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 a))) #s(literal -2 binary64))
(pow.f64 (*.f64 (exp.f64 a) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 a))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 (exp.f64 a) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 a))) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 a)))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 a))))) #s(literal -1 binary64))
(*.f64 (exp.f64 a) #s(literal 1/2 binary64))
(*.f64 (*.f64 (exp.f64 a) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (exp.f64 a))
(*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (neg.f64 a) #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (exp.f64 a) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (exp.f64 a)) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (neg.f64 (exp.f64 a)))
(*.f64 (pow.f64 (*.f64 (exp.f64 a) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (exp.f64 a) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 a))) #s(literal -1/2 binary64))
(exp.f64 a)
(-.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 a)))
(neg.f64 (neg.f64 (exp.f64 a)))
(*.f64 #s(literal 1 binary64) (exp.f64 a))
(*.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 a)))
(*.f64 #s(literal -1/4 binary64) b)
(*.f64 b #s(literal -1/4 binary64))
(*.f64 a (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))
(*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a)))
(*.f64 (*.f64 a #s(literal -1/48 binary64)) (*.f64 a a))
(*.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) a)
(*.f64 (*.f64 a a) (*.f64 a #s(literal -1/48 binary64)))
(*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/48 binary64))
(*.f64 a (*.f64 a #s(literal -1/48 binary64)))
(*.f64 #s(literal -1/48 binary64) (*.f64 a a))
(*.f64 (*.f64 a #s(literal -1/48 binary64)) a)
(*.f64 (*.f64 a a) #s(literal -1/48 binary64))
(*.f64 a #s(literal -1/48 binary64))
(*.f64 #s(literal -1/48 binary64) a)
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) #s(literal 1/4 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (*.f64 b (*.f64 b b)))) (*.f64 b (+.f64 b (*.f64 (*.f64 b b) #s(literal -1/2 binary64))))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (*.f64 b (*.f64 b b)))) (*.f64 b (+.f64 b (*.f64 (*.f64 b b) #s(literal -1/2 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) #s(literal 1/4 binary64)))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (fma.f64 b (*.f64 (*.f64 b b) #s(literal 1/4 binary64)) (neg.f64 b)))) (*.f64 b (*.f64 b #s(literal 1/2 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (fma.f64 b (*.f64 (*.f64 b b) #s(literal 1/4 binary64)) (neg.f64 b)))) (neg.f64 b)))
(+.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (*.f64 b (*.f64 b b))))) (*.f64 (*.f64 b (+.f64 b (*.f64 (*.f64 b b) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (*.f64 b (*.f64 b b))))))
(+.f64 (*.f64 (*.f64 b (+.f64 b (*.f64 (*.f64 b b) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (*.f64 b (*.f64 b b))))) (*.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (*.f64 b (*.f64 b b))))))
(+.f64 (*.f64 (*.f64 b (*.f64 b #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 b (fma.f64 b (*.f64 (*.f64 b b) #s(literal 1/4 binary64)) (neg.f64 b))))) (*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (*.f64 b (fma.f64 b (*.f64 (*.f64 b b) #s(literal 1/4 binary64)) (neg.f64 b))))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.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 -1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)) #s(literal -1/2 binary64) (*.f64 (log.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)) #s(literal -1/2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)))
(-.f64 (/.f64 (*.f64 b (*.f64 b #s(literal 1/2 binary64))) (*.f64 b (fma.f64 b (*.f64 (*.f64 b b) #s(literal 1/4 binary64)) (neg.f64 b)))) (/.f64 b (*.f64 b (fma.f64 b (*.f64 (*.f64 b b) #s(literal 1/4 binary64)) (neg.f64 b)))))
(-.f64 (/.f64 (*.f64 b (fma.f64 b (*.f64 (*.f64 b b) #s(literal 1/4 binary64)) b)) (*.f64 (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b))) (*.f64 (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (*.f64 b (*.f64 b b)))))
(fma.f64 (*.f64 b (*.f64 b #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 b (fma.f64 b (*.f64 (*.f64 b b) #s(literal 1/4 binary64)) (neg.f64 b)))) (*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (*.f64 b (fma.f64 b (*.f64 (*.f64 b b) #s(literal 1/4 binary64)) (neg.f64 b))))))
(fma.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 b (+.f64 b (*.f64 (*.f64 b b) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 b (*.f64 b b)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (*.f64 b (*.f64 b b))))))
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(/.f64 (*.f64 (neg.f64 (fma.f64 b (*.f64 (*.f64 b b) #s(literal 8 binary64)) #s(literal -64 binary64))) #s(literal 1 binary64)) (neg.f64 (fma.f64 b (-.f64 (*.f64 b #s(literal 4 binary64)) #s(literal -8 binary64)) #s(literal 16 binary64))))
(/.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -16 binary64))) #s(literal 1 binary64)) (fma.f64 b #s(literal -2 binary64) #s(literal -4 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal -4 binary64) (*.f64 b #s(literal -2 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 64 binary64)) #s(literal -4096 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 b (*.f64 (*.f64 b b) #s(literal 8 binary64)) #s(literal 64 binary64)) (fma.f64 b (-.f64 (*.f64 b #s(literal 4 binary64)) #s(literal -8 binary64)) #s(literal 16 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 64 binary64)) #s(literal -4096 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 16 binary64) (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (*.f64 b b) #s(literal 64 binary64) #s(literal 256 binary64))) (fma.f64 #s(literal 2 binary64) b #s(literal 4 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 16 binary64) (*.f64 b (*.f64 b (*.f64 b b))) #s(literal -256 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal 16 binary64)) (fma.f64 #s(literal 2 binary64) b #s(literal 4 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 b (*.f64 (*.f64 b b) #s(literal 8 binary64)) #s(literal -64 binary64)))) (fma.f64 b (-.f64 (*.f64 b #s(literal 4 binary64)) #s(literal -8 binary64)) #s(literal 16 binary64)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 b (*.f64 (*.f64 b b) #s(literal 8 binary64)) #s(literal -64 binary64)))) (neg.f64 (neg.f64 (fma.f64 b (-.f64 (*.f64 b #s(literal 4 binary64)) #s(literal -8 binary64)) #s(literal 16 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -16 binary64)))) (fma.f64 #s(literal 2 binary64) b #s(literal 4 binary64)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -16 binary64)))) (neg.f64 (fma.f64 b #s(literal -2 binary64) #s(literal -4 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) (neg.f64 (+.f64 #s(literal -4 binary64) (*.f64 b #s(literal -2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) b #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) b #s(literal 4 binary64)))) (/.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) b #s(literal 4 binary64)))) (*.f64 (*.f64 (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal 2 binary64) b #s(literal 4 binary64))) (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal 2 binary64) b #s(literal 4 binary64)))) (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal 2 binary64) b #s(literal 4 binary64))))) (fma.f64 (/.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) b #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) b #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal 2 binary64) b #s(literal 4 binary64))) (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal 2 binary64) b #s(literal 4 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) b #s(literal 4 binary64))) (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal 2 binary64) b #s(literal 4 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) b #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) b #s(literal 4 binary64)))) (*.f64 (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal 2 binary64) b #s(literal 4 binary64))) (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal 2 binary64) b #s(literal 4 binary64))))) (fma.f64 (*.f64 b b) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) b #s(literal 4 binary64))) (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal 2 binary64) b #s(literal 4 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 512 binary64)) #s(literal -262144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 (*.f64 b #s(literal 4 binary64)) #s(literal -8 binary64)) #s(literal 16 binary64)))) (-.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 64 binary64)) #s(literal 4096 binary64)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -512 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 64 binary64)) #s(literal -4096 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 (*.f64 b #s(literal 4 binary64)) #s(literal -8 binary64)) #s(literal 16 binary64)))) (fma.f64 b (*.f64 (*.f64 b b) #s(literal 8 binary64)) #s(literal 64 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 64 binary64)) #s(literal -4096 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) b #s(literal 4 binary64)))) (fma.f64 #s(literal 16 binary64) (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (*.f64 b b) #s(literal 64 binary64) #s(literal 256 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 16 binary64) (*.f64 b (*.f64 b (*.f64 b b))) #s(literal -256 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) b #s(literal 4 binary64)))) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal 16 binary64)))
(pow.f64 (fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal -4 binary64) (*.f64 b #s(literal -2 binary64))) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64)))
(*.f64 (fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (fma.f64 b #s(literal -2 binary64) #s(literal 4 binary64)))
(*.f64 (fma.f64 b (*.f64 (*.f64 b b) #s(literal 8 binary64)) #s(literal -64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 (*.f64 b #s(literal 4 binary64)) #s(literal -8 binary64)) #s(literal 16 binary64))))
(*.f64 (fma.f64 b (*.f64 (*.f64 b b) #s(literal 8 binary64)) #s(literal -64 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 (*.f64 b #s(literal 4 binary64)) #s(literal -8 binary64)) #s(literal 16 binary64))) #s(literal 1 binary64)))
(*.f64 (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) b #s(literal 4 binary64))))
(*.f64 (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -16 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) b #s(literal 4 binary64))) #s(literal 1 binary64)))
(*.f64 (neg.f64 (fma.f64 b (*.f64 (*.f64 b b) #s(literal 8 binary64)) #s(literal -64 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 b (-.f64 (*.f64 b #s(literal 4 binary64)) #s(literal -8 binary64)) #s(literal 16 binary64)))))
(*.f64 (neg.f64 (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -16 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal -2 binary64) #s(literal -4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 (*.f64 b #s(literal 4 binary64)) #s(literal -8 binary64)) #s(literal 16 binary64))) (fma.f64 b (*.f64 (*.f64 b b) #s(literal 8 binary64)) #s(literal -64 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) b #s(literal 4 binary64))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -16 binary64)))
(*.f64 (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -4 binary64) (*.f64 b #s(literal -2 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -16 binary64)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -16 binary64))) (fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64)))
(*.f64 (/.f64 (fma.f64 b (*.f64 (*.f64 b b) #s(literal 8 binary64)) #s(literal -64 binary64)) (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 64 binary64)) (*.f64 (fma.f64 b #s(literal 8 binary64) #s(literal 16 binary64)) (*.f64 (fma.f64 b #s(literal 8 binary64) #s(literal 16 binary64)) (fma.f64 b #s(literal 8 binary64) #s(literal 16 binary64)))))) (fma.f64 #s(literal 16 binary64) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (fma.f64 b #s(literal 8 binary64) #s(literal 16 binary64)) (-.f64 (fma.f64 b #s(literal 8 binary64) #s(literal 16 binary64)) (*.f64 (*.f64 b b) #s(literal 4 binary64))))))
(*.f64 (/.f64 (fma.f64 b (*.f64 (*.f64 b b) #s(literal 8 binary64)) #s(literal -64 binary64)) (*.f64 (fma.f64 b (-.f64 (*.f64 b #s(literal 4 binary64)) #s(literal -8 binary64)) #s(literal 16 binary64)) (+.f64 (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -16 binary64)) (*.f64 b #s(literal -8 binary64))))) (+.f64 (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -16 binary64)) (*.f64 b #s(literal -8 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -16 binary64)) (fma.f64 b (*.f64 (*.f64 b b) #s(literal 8 binary64)) #s(literal 64 binary64))) (fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 b #s(literal -8 binary64) #s(literal 16 binary64))))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 b)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 b)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 b #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 b) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 b) #s(literal 3/2 binary64) (*.f64 (log.f64 b) #s(literal 3/2 binary64))))
(exp.f64 (neg.f64 (*.f64 (log.f64 b) #s(literal -3 binary64))))
(exp.f64 (neg.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 b)) #s(literal -1 binary64))))
(exp.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 3 binary64) (log.f64 b)))))
(exp.f64 (-.f64 (log.f64 b) (neg.f64 (*.f64 #s(literal 2 binary64) (log.f64 b)))))
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 b (*.f64 b b))))
(neg.f64 (neg.f64 (*.f64 b (*.f64 b b))))
(/.f64 b (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b b))))
(/.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) b))
(/.f64 (*.f64 b (*.f64 b b)) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 b (*.f64 b b))) #s(literal -1 binary64))
(pow.f64 b #s(literal 3 binary64))
(pow.f64 (*.f64 b b) #s(literal 3/2 binary64))
(pow.f64 (*.f64 b (*.f64 b b)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b b))) #s(literal -1 binary64))
(pow.f64 (pow.f64 b #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 b))
(*.f64 b (*.f64 b b))
(*.f64 b (neg.f64 (*.f64 b (neg.f64 b))))
(*.f64 b (/.f64 (*.f64 b b) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b b)))
(*.f64 (*.f64 b b) b)
(*.f64 (*.f64 b b) (neg.f64 (neg.f64 b)))
(*.f64 (*.f64 b b) (/.f64 b #s(literal 1 binary64)))
(*.f64 (*.f64 b (*.f64 b b)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 b (*.f64 b b))))
(*.f64 (*.f64 b (neg.f64 b)) (neg.f64 b))
(*.f64 (neg.f64 b) (*.f64 b (neg.f64 b)))
(*.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64)))
(*.f64 (pow.f64 b #s(literal 3/2 binary64)) (/.f64 (pow.f64 b #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (*.f64 b (neg.f64 b))) b)
(*.f64 (neg.f64 (neg.f64 b)) (*.f64 b b))
(*.f64 (pow.f64 (sqrt.f64 b) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 b) #s(literal 3 binary64)))

simplify339.0ms (4.5%)

Memory
-9.3MiB live, 492.8MiB allocated
Algorithm
1×egg-herbie
Rules
12 000×lower-fma.f64
12 000×lower-fma.f32
3 376×lower-*.f64
3 376×lower-*.f32
2 202×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0108724
1288724
2630716
31586712
43418712
56889712
08049666
Stop Event
1×iter limit
1×node limit
Counts
144 → 143
Calls
Call 1
Inputs
1/2
(+ 1/2 (* 1/2 a))
(+ 1/2 (* a (+ 1/2 (* 1/4 a))))
(+ 1/2 (* a (+ 1/2 (* a (+ 1/4 (* 1/12 a))))))
(* 1/2 (exp a))
(* 1/2 (exp a))
(* 1/2 (exp a))
(* 1/2 (exp a))
(* 1/2 (exp a))
(* 1/2 (exp a))
(* 1/2 (exp a))
(* 1/2 (exp a))
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)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/48 (pow a 3))
(* -1/48 (pow a 3))
(* -1/48 (pow a 3))
(* -1/48 (pow a 3))
(* -1/48 (pow a 3))
(* -1/48 (pow a 3))
(* -1/48 (pow a 3))
(* -1/48 (pow a 3))
(* -1/48 (pow a 3))
(* -1/48 (pow a 3))
(* -1/48 (pow a 3))
(* -1/48 (pow a 3))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
(* -1/48 a)
(* -1/48 a)
(* -1/48 a)
(* -1/48 a)
(* -1/48 a)
(* -1/48 a)
(* -1/48 a)
(* -1/48 a)
(* -1/48 a)
(* -1/48 a)
(* -1/48 a)
(* -1/48 a)
(/ 1 b)
(/ (+ 1 (* -1/2 b)) b)
(/ (+ 1 (* b (- (* 1/4 b) 1/2))) b)
(/ (+ 1 (* b (- (* b (+ 1/4 (* -1/8 b))) 1/2))) b)
(/ 2 (pow b 2))
(/ (- 2 (* 4 (/ 1 b))) (pow b 2))
(/ (- (+ 2 (/ 8 (pow b 2))) (* 4 (/ 1 b))) (pow b 2))
(/ (- (+ 2 (/ 8 (pow b 2))) (+ (* 4 (/ 1 b)) (* 16 (/ 1 (pow b 3))))) (pow b 2))
(/ 2 (pow b 2))
(/ (- 2 (* 4 (/ 1 b))) (pow b 2))
(/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 b))) b))) (pow b 2))
(/ (+ 2 (* -1 (/ (+ 4 (* -1 (/ (- 8 (* 16 (/ 1 b))) b))) b))) (pow b 2))
b
(* b (+ 1 (* 1/2 b)))
(* b (+ 1 (* 1/2 b)))
(* b (+ 1 (* 1/2 b)))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(/ -4 (pow b 3))
(/ (- (* 2 b) 4) (pow b 3))
(/ (- (* 2 b) 4) (pow b 3))
(/ (- (* 2 b) 4) (pow b 3))
(/ 2 (pow b 2))
(/ (- 2 (* 4 (/ 1 b))) (pow b 2))
(/ (- 2 (* 4 (/ 1 b))) (pow b 2))
(/ (- 2 (* 4 (/ 1 b))) (pow b 2))
(/ 2 (pow b 2))
(/ (- 2 (* 4 (/ 1 b))) (pow b 2))
(/ (- 2 (* 4 (/ 1 b))) (pow b 2))
(/ (- 2 (* 4 (/ 1 b))) (pow b 2))
-4
(- (* 2 b) 4)
(- (* 2 b) 4)
(- (* 2 b) 4)
(* 2 b)
(* b (- 2 (* 4 (/ 1 b))))
(* b (- 2 (* 4 (/ 1 b))))
(* b (- 2 (* 4 (/ 1 b))))
(* 2 b)
(* -1 (* b (- (* 4 (/ 1 b)) 2)))
(* -1 (* b (- (* 4 (/ 1 b)) 2)))
(* -1 (* b (- (* 4 (/ 1 b)) 2)))
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/2 a))
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1/2 binary64))
(+ 1/2 (* a (+ 1/2 (* 1/4 a))))
(fma.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* a (+ 1/2 (* a (+ 1/4 (* 1/12 a))))))
(fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(* 1/2 (exp a))
(*.f64 #s(literal 1/2 binary64) (exp.f64 a))
(* 1/2 (exp a))
(*.f64 #s(literal 1/2 binary64) (exp.f64 a))
(* 1/2 (exp a))
(*.f64 #s(literal 1/2 binary64) (exp.f64 a))
(* 1/2 (exp a))
(*.f64 #s(literal 1/2 binary64) (exp.f64 a))
(* 1/2 (exp a))
(*.f64 #s(literal 1/2 binary64) (exp.f64 a))
(* 1/2 (exp a))
(*.f64 #s(literal 1/2 binary64) (exp.f64 a))
(* 1/2 (exp a))
(*.f64 #s(literal 1/2 binary64) (exp.f64 a))
(* 1/2 (exp a))
(*.f64 #s(literal 1/2 binary64) (exp.f64 a))
1
#s(literal 1 binary64)
(+ 1 a)
(+.f64 a #s(literal 1 binary64))
(+ 1 (* a (+ 1 (* 1/2 a))))
(fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #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)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/48 (pow a 3))
(*.f64 a (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))
(* -1/48 (pow a 3))
(*.f64 a (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))
(* -1/48 (pow a 3))
(*.f64 a (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))
(* -1/48 (pow a 3))
(*.f64 a (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))
(* -1/48 (pow a 3))
(*.f64 a (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))
(* -1/48 (pow a 3))
(*.f64 a (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))
(* -1/48 (pow a 3))
(*.f64 a (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))
(* -1/48 (pow a 3))
(*.f64 a (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))
(* -1/48 (pow a 3))
(*.f64 a (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))
(* -1/48 (pow a 3))
(*.f64 a (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))
(* -1/48 (pow a 3))
(*.f64 a (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))
(* -1/48 (pow a 3))
(*.f64 a (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))
(* -1/48 (pow a 2))
(*.f64 #s(literal -1/48 binary64) (*.f64 a a))
(* -1/48 (pow a 2))
(*.f64 #s(literal -1/48 binary64) (*.f64 a a))
(* -1/48 (pow a 2))
(*.f64 #s(literal -1/48 binary64) (*.f64 a a))
(* -1/48 (pow a 2))
(*.f64 #s(literal -1/48 binary64) (*.f64 a a))
(* -1/48 (pow a 2))
(*.f64 #s(literal -1/48 binary64) (*.f64 a a))
(* -1/48 (pow a 2))
(*.f64 #s(literal -1/48 binary64) (*.f64 a a))
(* -1/48 (pow a 2))
(*.f64 #s(literal -1/48 binary64) (*.f64 a a))
(* -1/48 (pow a 2))
(*.f64 #s(literal -1/48 binary64) (*.f64 a a))
(* -1/48 (pow a 2))
(*.f64 #s(literal -1/48 binary64) (*.f64 a a))
(* -1/48 (pow a 2))
(*.f64 #s(literal -1/48 binary64) (*.f64 a a))
(* -1/48 (pow a 2))
(*.f64 #s(literal -1/48 binary64) (*.f64 a a))
(* -1/48 (pow a 2))
(*.f64 #s(literal -1/48 binary64) (*.f64 a a))
(* -1/48 a)
(*.f64 a #s(literal -1/48 binary64))
(* -1/48 a)
(*.f64 a #s(literal -1/48 binary64))
(* -1/48 a)
(*.f64 a #s(literal -1/48 binary64))
(* -1/48 a)
(*.f64 a #s(literal -1/48 binary64))
(* -1/48 a)
(*.f64 a #s(literal -1/48 binary64))
(* -1/48 a)
(*.f64 a #s(literal -1/48 binary64))
(* -1/48 a)
(*.f64 a #s(literal -1/48 binary64))
(* -1/48 a)
(*.f64 a #s(literal -1/48 binary64))
(* -1/48 a)
(*.f64 a #s(literal -1/48 binary64))
(* -1/48 a)
(*.f64 a #s(literal -1/48 binary64))
(* -1/48 a)
(*.f64 a #s(literal -1/48 binary64))
(* -1/48 a)
(*.f64 a #s(literal -1/48 binary64))
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ (+ 1 (* -1/2 b)) b)
(/.f64 (fma.f64 b #s(literal -1/2 binary64) #s(literal 1 binary64)) b)
(/ (+ 1 (* b (- (* 1/4 b) 1/2))) b)
(/.f64 (fma.f64 b (fma.f64 #s(literal 1/4 binary64) b #s(literal -1/2 binary64)) #s(literal 1 binary64)) b)
(/ (+ 1 (* b (- (* b (+ 1/4 (* -1/8 b))) 1/2))) b)
(/.f64 (fma.f64 b (fma.f64 b (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) b)
(/ 2 (pow b 2))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(/ (- 2 (* 4 (/ 1 b))) (pow b 2))
(/.f64 (fma.f64 b #s(literal 2 binary64) #s(literal -4 binary64)) (*.f64 b (*.f64 b b)))
(/ (- (+ 2 (/ 8 (pow b 2))) (* 4 (/ 1 b))) (pow b 2))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) b) #s(literal -4 binary64)) b)) (*.f64 b b))
(/ (- (+ 2 (/ 8 (pow b 2))) (+ (* 4 (/ 1 b)) (* 16 (/ 1 (pow b 3))))) (pow b 2))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16 binary64) b) #s(literal -8 binary64)) b)) b)) (*.f64 b b))
(/ 2 (pow b 2))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(/ (- 2 (* 4 (/ 1 b))) (pow b 2))
(/.f64 (fma.f64 b #s(literal 2 binary64) #s(literal -4 binary64)) (*.f64 b (*.f64 b b)))
(/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 b))) b))) (pow b 2))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) b) #s(literal -4 binary64)) b)) (*.f64 b b))
(/ (+ 2 (* -1 (/ (+ 4 (* -1 (/ (- 8 (* 16 (/ 1 b))) b))) b))) (pow b 2))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16 binary64) b) #s(literal -8 binary64)) b)) b)) (*.f64 b b))
b
(* b (+ 1 (* 1/2 b)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)
(* b (+ 1 (* 1/2 b)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)
(* b (+ 1 (* 1/2 b)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)
(* 1/2 (pow b 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 b b))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)
(* (pow b 2) (+ 1/2 (/ 1 b)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)
(* (pow b 2) (+ 1/2 (/ 1 b)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)
(* 1/2 (pow b 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 b b))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)
(* (pow b 2) (+ 1/2 (/ 1 b)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)
(* (pow b 2) (+ 1/2 (/ 1 b)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(/ -4 (pow b 3))
(/.f64 #s(literal -4 binary64) (*.f64 b (*.f64 b b)))
(/ (- (* 2 b) 4) (pow b 3))
(/.f64 (fma.f64 b #s(literal 2 binary64) #s(literal -4 binary64)) (*.f64 b (*.f64 b b)))
(/ (- (* 2 b) 4) (pow b 3))
(/.f64 (fma.f64 b #s(literal 2 binary64) #s(literal -4 binary64)) (*.f64 b (*.f64 b b)))
(/ (- (* 2 b) 4) (pow b 3))
(/.f64 (fma.f64 b #s(literal 2 binary64) #s(literal -4 binary64)) (*.f64 b (*.f64 b b)))
(/ 2 (pow b 2))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(/ (- 2 (* 4 (/ 1 b))) (pow b 2))
(/.f64 (fma.f64 b #s(literal 2 binary64) #s(literal -4 binary64)) (*.f64 b (*.f64 b b)))
(/ (- 2 (* 4 (/ 1 b))) (pow b 2))
(/.f64 (fma.f64 b #s(literal 2 binary64) #s(literal -4 binary64)) (*.f64 b (*.f64 b b)))
(/ (- 2 (* 4 (/ 1 b))) (pow b 2))
(/.f64 (fma.f64 b #s(literal 2 binary64) #s(literal -4 binary64)) (*.f64 b (*.f64 b b)))
(/ 2 (pow b 2))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(/ (- 2 (* 4 (/ 1 b))) (pow b 2))
(/.f64 (fma.f64 b #s(literal 2 binary64) #s(literal -4 binary64)) (*.f64 b (*.f64 b b)))
(/ (- 2 (* 4 (/ 1 b))) (pow b 2))
(/.f64 (fma.f64 b #s(literal 2 binary64) #s(literal -4 binary64)) (*.f64 b (*.f64 b b)))
(/ (- 2 (* 4 (/ 1 b))) (pow b 2))
(/.f64 (fma.f64 b #s(literal 2 binary64) #s(literal -4 binary64)) (*.f64 b (*.f64 b b)))
-4
#s(literal -4 binary64)
(- (* 2 b) 4)
(fma.f64 b #s(literal 2 binary64) #s(literal -4 binary64))
(- (* 2 b) 4)
(fma.f64 b #s(literal 2 binary64) #s(literal -4 binary64))
(- (* 2 b) 4)
(fma.f64 b #s(literal 2 binary64) #s(literal -4 binary64))
(* 2 b)
(*.f64 b #s(literal 2 binary64))
(* b (- 2 (* 4 (/ 1 b))))
(fma.f64 b #s(literal 2 binary64) #s(literal -4 binary64))
(* b (- 2 (* 4 (/ 1 b))))
(fma.f64 b #s(literal 2 binary64) #s(literal -4 binary64))
(* b (- 2 (* 4 (/ 1 b))))
(fma.f64 b #s(literal 2 binary64) #s(literal -4 binary64))
(* 2 b)
(*.f64 b #s(literal 2 binary64))
(* -1 (* b (- (* 4 (/ 1 b)) 2)))
(fma.f64 b #s(literal 2 binary64) #s(literal -4 binary64))
(* -1 (* b (- (* 4 (/ 1 b)) 2)))
(fma.f64 b #s(literal 2 binary64) #s(literal -4 binary64))
(* -1 (* b (- (* 4 (/ 1 b)) 2)))
(fma.f64 b #s(literal 2 binary64) #s(literal -4 binary64))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))

eval78.0ms (1%)

Memory
14.7MiB live, 167.3MiB allocated
Compiler

Compiled 13 731 to 1 422 computations (89.6% saved)

prune102.0ms (1.4%)

Memory
19.4MiB live, 218.5MiB allocated
Pruning

30 alts after pruning (21 fresh and 9 done)

PrunedKeptTotal
New6738681
Fresh21315
Picked235
Done066
Total67730707
Accuracy
100.0%
Counts
707 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
32.8%
(fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
✓33.5%
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
35.7%
(fma.f64 a (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
✓35.6%
(fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
34.8%
(fma.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64))) #s(literal 1/2 binary64))
35.6%
(fma.f64 a #s(literal 1/4 binary64) (fma.f64 (*.f64 a a) (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/2 binary64)))
35.7%
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
3.0%
(/.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 64 binary64)) #s(literal -4096 binary64)) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (fma.f64 b (-.f64 (*.f64 b #s(literal 4 binary64)) #s(literal -8 binary64)) #s(literal 16 binary64))) (fma.f64 b (*.f64 (*.f64 b b) #s(literal 8 binary64)) #s(literal 64 binary64))))
11.2%
(/.f64 (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (fma.f64 #s(literal 2 binary64) b #s(literal 4 binary64)))))
5.5%
(/.f64 (fma.f64 b (*.f64 (*.f64 b b) #s(literal 8 binary64)) #s(literal -64 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (fma.f64 b (-.f64 (*.f64 b #s(literal 4 binary64)) #s(literal -8 binary64)) #s(literal 16 binary64))))
✓22.9%
(/.f64 (fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64)) (*.f64 b (*.f64 b b)))
17.6%
(/.f64 #s(literal 2 binary64) (*.f64 b b))
47.6%
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) #s(literal 1/2 binary64) (+.f64 b #s(literal 2 binary64))))
53.8%
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
✓47.7%
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
54.6%
(/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))
51.6%
(/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) #s(literal 2 binary64)))
✓17.4%
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b))
36.3%
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) a))
33.6%
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
✓62.4%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
✓80.5%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
3.7%
(/.f64 #s(literal 1 binary64) b)
23.0%
(/.f64 #s(literal -4 binary64) (*.f64 b (*.f64 b b)))
17.5%
(*.f64 (*.f64 a a) (*.f64 a #s(literal -1/48 binary64)))
17.5%
(*.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) a)
60.6%
(*.f64 (exp.f64 a) #s(literal 1/2 binary64))
11.2%
(*.f64 a (fma.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/4 binary64)))
✓3.7%
(*.f64 #s(literal -1/4 binary64) b)
✓35.3%
#s(literal 1/2 binary64)
Compiler

Compiled 767 to 365 computations (52.4% saved)

regimes53.0ms (0.7%)

Memory
12.0MiB live, 89.7MiB allocated
Counts
39 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/4 binary64) b)
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) a))
(*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
(*.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) a)
(*.f64 (*.f64 a a) (*.f64 a #s(literal -1/48 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(fma.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64))) #s(literal 1/2 binary64))
(fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal -4 binary64) (*.f64 b (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b))
(fma.f64 a #s(literal 1/4 binary64) (fma.f64 (*.f64 a a) (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) #s(literal 1/2 binary64) (+.f64 b #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64)) (*.f64 b (*.f64 b b)))
(fma.f64 a (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(*.f64 a (fma.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/4 binary64)))
(/.f64 (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (fma.f64 #s(literal 2 binary64) b #s(literal 4 binary64)))))
(/.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 b b) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -4 binary64)))
(/.f64 (fma.f64 b (*.f64 (*.f64 b b) #s(literal 8 binary64)) #s(literal -64 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (fma.f64 b (-.f64 (*.f64 b #s(literal 4 binary64)) #s(literal -8 binary64)) #s(literal 16 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 b b) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -4 binary64))) (*.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 b b) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 64 binary64)) #s(literal -4096 binary64)) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (fma.f64 b (-.f64 (*.f64 b #s(literal 4 binary64)) #s(literal -8 binary64)) #s(literal 16 binary64))) (fma.f64 b (*.f64 (*.f64 b b) #s(literal 8 binary64)) #s(literal 64 binary64))))
(*.f64 (exp.f64 a) #s(literal 1/2 binary64))
(/.f64 (exp.f64 a) #s(literal 2 binary64))
(/.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 (neg.f64 a))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #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))))
(pow.f64 (pow.f64 (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (*.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (+.f64 (exp.f64 a) (exp.f64 b))))
Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Calls

5 calls:

12.0ms
b
11.0ms
a
10.0ms
(exp.f64 b)
9.0ms
(exp.f64 a)
9.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Results
AccuracySegmentsBranch
99.2%1a
99.2%1b
99.2%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
99.2%1(exp.f64 a)
99.2%1(exp.f64 b)
Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes54.0ms (0.7%)

Memory
-45.9MiB live, 94.0MiB allocated
Counts
35 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/4 binary64) b)
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) a))
(*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
(*.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) a)
(*.f64 (*.f64 a a) (*.f64 a #s(literal -1/48 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(fma.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64))) #s(literal 1/2 binary64))
(fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal -4 binary64) (*.f64 b (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b))
(fma.f64 a #s(literal 1/4 binary64) (fma.f64 (*.f64 a a) (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) #s(literal 1/2 binary64) (+.f64 b #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64)) (*.f64 b (*.f64 b b)))
(fma.f64 a (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(*.f64 a (fma.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/4 binary64)))
(/.f64 (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (fma.f64 #s(literal 2 binary64) b #s(literal 4 binary64)))))
(/.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 b b) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -4 binary64)))
(/.f64 (fma.f64 b (*.f64 (*.f64 b b) #s(literal 8 binary64)) #s(literal -64 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (fma.f64 b (-.f64 (*.f64 b #s(literal 4 binary64)) #s(literal -8 binary64)) #s(literal 16 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 b b) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -4 binary64))) (*.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 b b) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 64 binary64)) #s(literal -4096 binary64)) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (fma.f64 b (-.f64 (*.f64 b #s(literal 4 binary64)) #s(literal -8 binary64)) #s(literal 16 binary64))) (fma.f64 b (*.f64 (*.f64 b b) #s(literal 8 binary64)) #s(literal 64 binary64))))
(*.f64 (exp.f64 a) #s(literal 1/2 binary64))
(/.f64 (exp.f64 a) #s(literal 2 binary64))
(/.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 (neg.f64 a))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
Outputs
(*.f64 (exp.f64 a) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
Calls

5 calls:

14.0ms
(exp.f64 b)
11.0ms
a
10.0ms
b
9.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
8.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
98.3%2a
99.0%3b
80.5%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
98.3%2(exp.f64 a)
99.0%3(exp.f64 b)
Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes46.0ms (0.6%)

Memory
-2.4MiB live, 78.1MiB allocated
Counts
32 → 4
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/4 binary64) b)
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) a))
(*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
(*.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) a)
(*.f64 (*.f64 a a) (*.f64 a #s(literal -1/48 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(fma.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64))) #s(literal 1/2 binary64))
(fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal -4 binary64) (*.f64 b (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b))
(fma.f64 a #s(literal 1/4 binary64) (fma.f64 (*.f64 a a) (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) #s(literal 1/2 binary64) (+.f64 b #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64)) (*.f64 b (*.f64 b b)))
(fma.f64 a (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(*.f64 a (fma.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/4 binary64)))
(/.f64 (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (fma.f64 #s(literal 2 binary64) b #s(literal 4 binary64)))))
(/.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 b b) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -4 binary64)))
(/.f64 (fma.f64 b (*.f64 (*.f64 b b) #s(literal 8 binary64)) #s(literal -64 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (fma.f64 b (-.f64 (*.f64 b #s(literal 4 binary64)) #s(literal -8 binary64)) #s(literal 16 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 b b) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -4 binary64))) (*.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 b b) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 64 binary64)) #s(literal -4096 binary64)) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (fma.f64 b (-.f64 (*.f64 b #s(literal 4 binary64)) #s(literal -8 binary64)) #s(literal 16 binary64))) (fma.f64 b (*.f64 (*.f64 b b) #s(literal 8 binary64)) #s(literal 64 binary64))))
(*.f64 (exp.f64 a) #s(literal 1/2 binary64))
(/.f64 (exp.f64 a) #s(literal 2 binary64))
Outputs
(*.f64 (exp.f64 a) #s(literal 1/2 binary64))
(*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
(/.f64 (fma.f64 b (*.f64 (*.f64 b b) #s(literal 8 binary64)) #s(literal -64 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (fma.f64 b (-.f64 (*.f64 b #s(literal 4 binary64)) #s(literal -8 binary64)) #s(literal 16 binary64))))
(/.f64 #s(literal -4 binary64) (*.f64 b (*.f64 b b)))
Calls

5 calls:

11.0ms
a
9.0ms
b
9.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
7.0ms
(exp.f64 b)
7.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
60.6%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
79.2%4b
73.3%2(exp.f64 b)
72.7%2a
72.7%2(exp.f64 a)
Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes35.0ms (0.5%)

Memory
21.3MiB live, 59.4MiB allocated
Counts
30 → 4
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/4 binary64) b)
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) a))
(*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
(*.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) a)
(*.f64 (*.f64 a a) (*.f64 a #s(literal -1/48 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(fma.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64))) #s(literal 1/2 binary64))
(fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal -4 binary64) (*.f64 b (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b))
(fma.f64 a #s(literal 1/4 binary64) (fma.f64 (*.f64 a a) (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) #s(literal 1/2 binary64) (+.f64 b #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64)) (*.f64 b (*.f64 b b)))
(fma.f64 a (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(*.f64 a (fma.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/4 binary64)))
(/.f64 (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (fma.f64 #s(literal 2 binary64) b #s(literal 4 binary64)))))
(/.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 b b) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -4 binary64)))
(/.f64 (fma.f64 b (*.f64 (*.f64 b b) #s(literal 8 binary64)) #s(literal -64 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (fma.f64 b (-.f64 (*.f64 b #s(literal 4 binary64)) #s(literal -8 binary64)) #s(literal 16 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 b b) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -4 binary64))) (*.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 b b) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 64 binary64)) #s(literal -4096 binary64)) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (fma.f64 b (-.f64 (*.f64 b #s(literal 4 binary64)) #s(literal -8 binary64)) #s(literal 16 binary64))) (fma.f64 b (*.f64 (*.f64 b b) #s(literal 8 binary64)) #s(literal 64 binary64))))
Outputs
(/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
(/.f64 (fma.f64 b (*.f64 (*.f64 b b) #s(literal 8 binary64)) #s(literal -64 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (fma.f64 b (-.f64 (*.f64 b #s(literal 4 binary64)) #s(literal -8 binary64)) #s(literal 16 binary64))))
(/.f64 #s(literal -4 binary64) (*.f64 b (*.f64 b b)))
Calls

4 calls:

10.0ms
a
9.0ms
b
7.0ms
(exp.f64 b)
7.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
66.3%2(exp.f64 a)
67.4%2a
69.2%2(exp.f64 b)
75.0%4b
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes10.0ms (0.1%)

Memory
-14.3MiB live, 25.0MiB allocated
Counts
27 → 3
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/4 binary64) b)
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) a))
(*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
(*.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) a)
(*.f64 (*.f64 a a) (*.f64 a #s(literal -1/48 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(fma.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64))) #s(literal 1/2 binary64))
(fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal -4 binary64) (*.f64 b (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b))
(fma.f64 a #s(literal 1/4 binary64) (fma.f64 (*.f64 a a) (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) #s(literal 1/2 binary64) (+.f64 b #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64)) (*.f64 b (*.f64 b b)))
(fma.f64 a (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(*.f64 a (fma.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/4 binary64)))
(/.f64 (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (fma.f64 #s(literal 2 binary64) b #s(literal 4 binary64)))))
(/.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 b b) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -4 binary64)))
Outputs
(/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
(/.f64 #s(literal -4 binary64) (*.f64 b (*.f64 b b)))
Calls

1 calls:

9.0ms
b
Results
AccuracySegmentsBranch
72.8%3b
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory
13.8MiB live, 13.8MiB allocated
Counts
22 → 3
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/4 binary64) b)
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) a))
(*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
(*.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) a)
(*.f64 (*.f64 a a) (*.f64 a #s(literal -1/48 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(fma.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64))) #s(literal 1/2 binary64))
(fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal -4 binary64) (*.f64 b (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b))
(fma.f64 a #s(literal 1/4 binary64) (fma.f64 (*.f64 a a) (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) #s(literal 1/2 binary64) (+.f64 b #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal 2 binary64) b #s(literal -4 binary64)) (*.f64 b (*.f64 b b)))
(fma.f64 a (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #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) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
(/.f64 #s(literal -4 binary64) (*.f64 b (*.f64 b b)))
Calls

1 calls:

7.0ms
b
Results
AccuracySegmentsBranch
71.0%3b
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes27.0ms (0.4%)

Memory
-27.3MiB live, 54.5MiB allocated
Counts
17 → 3
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/4 binary64) b)
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) a))
(*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
(*.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) a)
(*.f64 (*.f64 a a) (*.f64 a #s(literal -1/48 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(fma.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64))) #s(literal 1/2 binary64))
(fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal -4 binary64) (*.f64 b (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b))
(fma.f64 a #s(literal 1/4 binary64) (fma.f64 (*.f64 a a) (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/2 binary64)))
Outputs
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) a))
(*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
(/.f64 #s(literal -4 binary64) (*.f64 b (*.f64 b b)))
Calls

5 calls:

5.0ms
b
5.0ms
a
5.0ms
(exp.f64 b)
4.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
56.0%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
42.2%2(exp.f64 a)
42.2%2a
56.5%2(exp.f64 b)
60.1%3b
Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes13.0ms (0.2%)

Memory
25.1MiB live, 25.1MiB allocated
Counts
14 → 3
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/4 binary64) b)
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) a))
(*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
(*.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) a)
(*.f64 (*.f64 a a) (*.f64 a #s(literal -1/48 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(fma.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64))) #s(literal 1/2 binary64))
(fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
Outputs
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) a))
(*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
Calls

3 calls:

5.0ms
b
4.0ms
(exp.f64 b)
4.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Results
AccuracySegmentsBranch
50.2%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
50.7%2(exp.f64 b)
57.5%3b
Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes40.0ms (0.5%)

Memory
-19.4MiB live, 18.7MiB allocated
Counts
10 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/4 binary64) b)
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) a))
(*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
(*.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) a)
(*.f64 (*.f64 a a) (*.f64 a #s(literal -1/48 binary64)))
Outputs
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) a))
(*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
Calls

2 calls:

36.0ms
(exp.f64 b)
4.0ms
b
Results
AccuracySegmentsBranch
50.7%2(exp.f64 b)
50.7%2b
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes13.0ms (0.2%)

Memory
13.8MiB live, 13.8MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/4 binary64) b)
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) a))
Outputs
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) a))
Calls

5 calls:

3.0ms
b
3.0ms
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
36.3%1(exp.f64 a)
36.3%1a
36.3%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
36.3%1b
36.3%1(exp.f64 b)
Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes12.0ms (0.2%)

Memory
20.2MiB live, 20.2MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/4 binary64) b)
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
Outputs
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
Calls

5 calls:

3.0ms
b
3.0ms
a
2.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
2.0ms
(exp.f64 b)
2.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
35.7%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
35.7%1(exp.f64 a)
35.7%1a
35.7%1b
35.7%1(exp.f64 b)
Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes27.0ms (0.4%)

Memory
-30.3MiB live, 8.5MiB allocated
Accuracy

Total -20.5b remaining (-49.5%)

Threshold costs -20.5b (-49.5%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/4 binary64) b)
Outputs
#s(literal 1/2 binary64)
Calls

5 calls:

22.0ms
b
1.0ms
a
1.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms
(exp.f64 b)
1.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
35.3%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
35.3%1(exp.f64 a)
35.3%1a
35.3%1(exp.f64 b)
35.3%1b
Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
0.37624920363290815
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch41.0ms (0.5%)

Memory
25.7MiB live, 63.2MiB allocated
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
10.0ms
1.1612636840909426e+101
4.3694246190063737e+105
13.0ms
6.98122982965699e+54
4.104214966907109e+63
14.0ms
56.29908076739907
207332701869000.97
Samples
22.0ms432×0valid
Compiler

Compiled 795 to 549 computations (30.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-exp: 7.0ms (53.4% of total)
ival-div: 3.0ms (22.9% of total)
ival-add: 3.0ms (22.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory
4.8MiB live, 4.8MiB allocated
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
1.1612636840909426e+101
4.3694246190063737e+105
1.0ms
6.98122982965699e+54
4.104214966907109e+63
1.0ms
56.29908076739907
207332701869000.97
Compiler

Compiled 875 to 609 computations (30.4% saved)

bsearch10.0ms (0.1%)

Memory
-34.8MiB live, 7.3MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
8.0ms
1.1612636840909426e+101
4.3694246190063737e+105
1.0ms
56.29908076739907
207332701869000.97
Samples
5.0ms64×0valid
Compiler

Compiled 423 to 313 computations (26% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-exp: 1.0ms (61% of total)
ival-div: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
4.7MiB live, 4.7MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
1.1612636840909426e+101
4.3694246190063737e+105
1.0ms
56.29908076739907
207332701869000.97
Compiler

Compiled 393 to 293 computations (25.4% saved)

bsearch11.0ms (0.2%)

Memory
12.1MiB live, 12.1MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
1.1612636840909426e+101
4.3694246190063737e+105
10.0ms
56.29908076739907
207332701869000.97
Samples
5.0ms112×0valid
Compiler

Compiled 353 to 263 computations (25.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-exp: 2.0ms (62.1% of total)
ival-div: 1.0ms (31% of total)
ival-add: 1.0ms (31% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch15.0ms (0.2%)

Memory
-13.8MiB live, 24.2MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
13.0ms
2.299135181253138e+152
4.398864086081107e+158
1.0ms
56.29908076739907
207332701869000.97
Samples
7.0ms144×0valid
Compiler

Compiled 355 to 268 computations (24.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-exp: 2.0ms (52.4% of total)
ival-div: 1.0ms (26.2% of total)
ival-add: 1.0ms (26.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
56.29908076739907
207332701869000.97
Compiler

Compiled 193 to 151 computations (21.8% saved)

simplify9.0ms (0.1%)

Memory
13.8MiB live, 13.8MiB allocated
Algorithm
1×egg-herbie
Rules
20×*-commutative_binary64
12×+-commutative_binary64
8×sub-neg_binary64
4×neg-sub0_binary64
4×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074280
190280
296280
3100280
4102280
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) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(if (<=.f64 b #s(literal 2100 binary64)) (*.f64 (exp.f64 a) #s(literal 1/2 binary64)) (if (<=.f64 b #s(literal 35000000000000001796668967162490362989442499009207193514803200 binary64)) (*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64)))) (if (<=.f64 b #s(literal 2800000000000000184400255347580263637342283689198040067392064127923440386338200198228880130814920097792 binary64)) (/.f64 (fma.f64 b (*.f64 (*.f64 b b) #s(literal 8 binary64)) #s(literal -64 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (fma.f64 b (-.f64 (*.f64 b #s(literal 4 binary64)) #s(literal -8 binary64)) #s(literal 16 binary64)))) (/.f64 #s(literal -4 binary64) (*.f64 b (*.f64 b b))))))
(if (<=.f64 b #s(literal 2050 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))) (if (<=.f64 b #s(literal 35000000000000001796668967162490362989442499009207193514803200 binary64)) (*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64)))) (if (<=.f64 b #s(literal 2800000000000000184400255347580263637342283689198040067392064127923440386338200198228880130814920097792 binary64)) (/.f64 (fma.f64 b (*.f64 (*.f64 b b) #s(literal 8 binary64)) #s(literal -64 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (fma.f64 b (-.f64 (*.f64 b #s(literal 4 binary64)) #s(literal -8 binary64)) #s(literal 16 binary64)))) (/.f64 #s(literal -4 binary64) (*.f64 b (*.f64 b b))))))
(if (<=.f64 b #s(literal 2050 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))) (if (<=.f64 b #s(literal 5800000000000000488541222450656255139219497959086120161124165150130208823228552602008286773659486388224 binary64)) (*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64)))) (/.f64 #s(literal -4 binary64) (*.f64 b (*.f64 b b)))))
(if (<=.f64 b #s(literal 2050 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) #s(literal 2 binary64))) (if (<=.f64 b #s(literal 5800000000000000488541222450656255139219497959086120161124165150130208823228552602008286773659486388224 binary64)) (*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64)))) (/.f64 #s(literal -4 binary64) (*.f64 b (*.f64 b b)))))
(if (<=.f64 b #s(literal 430 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) a)) (if (<=.f64 b #s(literal 5800000000000000488541222450656255139219497959086120161124165150130208823228552602008286773659486388224 binary64)) (*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64)))) (/.f64 #s(literal -4 binary64) (*.f64 b (*.f64 b b)))))
(if (<=.f64 b #s(literal 430 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) a)) (if (<=.f64 b #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64)))) (/.f64 #s(literal 2 binary64) (*.f64 b b))))
(if (<=.f64 b #s(literal 430 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) a)) (*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64)))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) a))
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
#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) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (*.f64 (exp.f64 a) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
(if (<=.f64 b #s(literal 2100 binary64)) (*.f64 (exp.f64 a) #s(literal 1/2 binary64)) (if (<=.f64 b #s(literal 35000000000000001796668967162490362989442499009207193514803200 binary64)) (*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64)))) (if (<=.f64 b #s(literal 2800000000000000184400255347580263637342283689198040067392064127923440386338200198228880130814920097792 binary64)) (/.f64 (fma.f64 b (*.f64 (*.f64 b b) #s(literal 8 binary64)) #s(literal -64 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (fma.f64 b (-.f64 (*.f64 b #s(literal 4 binary64)) #s(literal -8 binary64)) #s(literal 16 binary64)))) (/.f64 #s(literal -4 binary64) (*.f64 b (*.f64 b b))))))
(if (<=.f64 b #s(literal 2050 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))) (if (<=.f64 b #s(literal 35000000000000001796668967162490362989442499009207193514803200 binary64)) (*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64)))) (if (<=.f64 b #s(literal 2800000000000000184400255347580263637342283689198040067392064127923440386338200198228880130814920097792 binary64)) (/.f64 (fma.f64 b (*.f64 (*.f64 b b) #s(literal 8 binary64)) #s(literal -64 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (fma.f64 b (-.f64 (*.f64 b #s(literal 4 binary64)) #s(literal -8 binary64)) #s(literal 16 binary64)))) (/.f64 #s(literal -4 binary64) (*.f64 b (*.f64 b b))))))
(if (<=.f64 b #s(literal 2050 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))) (if (<=.f64 b #s(literal 5800000000000000488541222450656255139219497959086120161124165150130208823228552602008286773659486388224 binary64)) (*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64)))) (/.f64 #s(literal -4 binary64) (*.f64 b (*.f64 b b)))))
(if (<=.f64 b #s(literal 2050 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) #s(literal 2 binary64))) (if (<=.f64 b #s(literal 5800000000000000488541222450656255139219497959086120161124165150130208823228552602008286773659486388224 binary64)) (*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64)))) (/.f64 #s(literal -4 binary64) (*.f64 b (*.f64 b b)))))
(if (<=.f64 b #s(literal 430 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) a)) (if (<=.f64 b #s(literal 5800000000000000488541222450656255139219497959086120161124165150130208823228552602008286773659486388224 binary64)) (*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64)))) (/.f64 #s(literal -4 binary64) (*.f64 b (*.f64 b b)))))
(if (<=.f64 b #s(literal 430 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) a)) (if (<=.f64 b #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64)))) (/.f64 #s(literal 2 binary64) (*.f64 b b))))
(if (<=.f64 b #s(literal 430 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) a)) (*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64)))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) a))
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)

soundness1.5s (20.3%)

Memory
-3.3MiB live, 1 108.7MiB allocated
Rules
18 438×lower-fma.f64
18 438×lower-fma.f32
15 668×lower-fma.f64
15 668×lower-fma.f32
12 000×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0108724
1288724
2630716
31586712
43418712
56889712
08049666
0136793
1359784
2900784
33120774
47778774
08253697
04654747
113774233
241694093
377404069
081723849
0617
01017
13217
220317
3193617
0863117
02060
03456
110256
251854
3469454
0839054
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×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 1 004 to 611 computations (39.1% saved)

preprocess71.0ms (0.9%)

Memory
22.0MiB live, 138.5MiB allocated
Compiler

Compiled 604 to 174 computations (71.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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