Quotient of sum of exps

Time bar (total: 5.7s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze5.0ms (0.1%)

Memory
6.1MiB live, 6.1MiB 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)

sample993.0ms (17.6%)

Memory
14.3MiB live, 1 096.1MiB allocated
Samples
423.0ms8 256×0valid
190.0ms2 987×0exit
Precisions
Click to see histograms. Total time spent on operations: 363.0ms
ival-exp: 207.0ms (57.1% of total)
ival-div: 75.0ms (20.7% of total)
ival-add: 66.0ms (18.2% of total)
ival-true: 10.0ms (2.8% of total)
ival-assert: 4.0ms (1.1% of total)
Bogosity

explain78.0ms (1.4%)

Memory
33.3MiB live, 111.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
40-0-(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
00-0-(+.f64 (exp.f64 a) (exp.f64 b))
00-0-a
00-0-(exp.f64 b)
00-0-b
00-0-(exp.f64 a)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))o/o30
↳(exp.f64 a)overflow3
↳(+.f64 (exp.f64 a) (exp.f64 b))overflow71
↳(exp.f64 a)overflow3
↳(exp.f64 b)overflow69
/.f64(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))u/u10
↳(exp.f64 a)underflow62
↳(+.f64 (exp.f64 a) (exp.f64 b))underflow1
↳(exp.f64 a)underflow62
↳(exp.f64 b)underflow40
Confusion
Predicted +Predicted -
+40
-0252
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+400
-00252
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0252
14
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
34.0ms512×0valid
Compiler

Compiled 69 to 28 computations (59.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-exp: 8.0ms (56.1% of total)
ival-div: 3.0ms (21.1% of total)
ival-add: 3.0ms (21.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess92.0ms (1.6%)

Memory
-22.4MiB live, 51.8MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.4%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 8 to 6 computations (25% saved)

simplify2.0ms (0%)

Memory
3.1MiB live, 3.1MiB 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)))
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)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(exp.f64 a)
a
(+.f64 (exp.f64 a) (exp.f64 b))
(+.f64 (exp.f64 b) (exp.f64 a))
(exp.f64 b)
b

localize28.0ms (0.5%)

Memory
-11.0MiB live, 32.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(exp.f64 b)
accuracy0
(exp.f64 a)
accuracy0.00390625
(+.f64 (exp.f64 a) (exp.f64 b))
accuracy0.9765693771232895
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Samples
20.0ms256×0valid
Compiler

Compiled 40 to 14 computations (65% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-exp: 4.0ms (57.1% of total)
ival-div: 2.0ms (28.5% of total)
ival-add: 1.0ms (14.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
7.7MiB live, 7.7MiB allocated
Counts
4 → 27
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(exp.f64 a)
(+.f64 (exp.f64 a) (exp.f64 b))
(exp.f64 b)
Outputs
(/ 1 (+ 1 (exp b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(+ 1 (exp b))
(+ 1 (+ a (exp b)))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(/ (exp a) (+ (exp a) (exp b)))
(exp a)
(+ (exp a) (exp b))
(/ (exp a) (+ 1 (exp a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(+ 1 (exp a))
(+ 1 (+ b (exp a)))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ 1 b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(exp b)
Calls

6 calls:

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

simplify174.0ms (3.1%)

Memory
-2.3MiB live, 206.0MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

rewrite159.0ms (2.8%)

Memory
8.2MiB live, 237.1MiB allocated
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 (pow.f64 (/.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (exp.f64 a)) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 b) (exp.f64 a))))
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(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b)))) (neg.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))) (/.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))) (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))) (neg.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) (fma.f64 (exp.f64 b) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))) (/.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 4 binary64)) (fma.f64 (exp.f64 b) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 6 binary64)) (+.f64 (+.f64 (exp.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))) (pow.f64 (exp.f64 b) #s(literal 4 binary64))) (pow.f64 (exp.f64 a) #s(literal 4 binary64)))) (neg.f64 (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))) (/.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 6 binary64)) (+.f64 (+.f64 (exp.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))) (pow.f64 (exp.f64 b) #s(literal 4 binary64))) (pow.f64 (exp.f64 a) #s(literal 4 binary64)))) (neg.f64 (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))))
(-.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (neg.f64 (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))) (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (neg.f64 (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) (fma.f64 (exp.f64 b) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 4 binary64)) (fma.f64 (exp.f64 b) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (-.f64 (exp.f64 a) (exp.f64 b))))
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 6 binary64)) (+.f64 (+.f64 (exp.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))) (pow.f64 (exp.f64 b) #s(literal 4 binary64))) (pow.f64 (exp.f64 a) #s(literal 4 binary64)))) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 6 binary64)) (+.f64 (+.f64 (exp.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))) (pow.f64 (exp.f64 b) #s(literal 4 binary64))) (pow.f64 (exp.f64 a) #s(literal 4 binary64)))) (-.f64 (exp.f64 a) (exp.f64 b))))
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 6 binary64)) (-.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))) (/.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 6 binary64)) (-.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 6 binary64)) (-.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64)))) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (/.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 6 binary64)) (-.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64)))) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))
(-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (exp.f64 b) #s(literal 0 binary64)) #s(literal -1 binary64)) (neg.f64 (exp.f64 a)))
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b)))) #s(literal -1 binary64)) (/.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (neg.f64 (exp.f64 b)) #s(literal -1 binary64)) (neg.f64 (exp.f64 a)))
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 (exp.f64 b) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (exp.f64 b) (exp.f64 a))) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 (exp.f64 b) (exp.f64 a))) (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (exp.f64 b) (exp.f64 a))))
(-.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b))))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (exp.f64 a) (neg.f64 (exp.f64 b))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(-.f64 (exp.f64 a) (/.f64 (exp.f64 b) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal -1 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 b) (exp.f64 a)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (neg.f64 (neg.f64 (exp.f64 b))) (exp.f64 a))
(+.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b))) (neg.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b)))))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 a) (neg.f64 (neg.f64 (exp.f64 b))))
(+.f64 (exp.f64 a) (exp.f64 b))
(pow.f64 (exp.f64 b) #s(literal 1 binary64))
(exp.f64 (*.f64 b #s(literal 1 binary64)))
(exp.f64 b)

eval39.0ms (0.7%)

Memory
5.0MiB live, 91.0MiB allocated
Compiler

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

prune7.0ms (0.1%)

Memory
-17.4MiB live, 21.3MiB allocated
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New3592361
Fresh000
Picked101
Done000
Total3602362
Accuracy
99.7%
Counts
362 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶67.8%
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
▶83.1%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
Compiler

Compiled 28 to 21 computations (25% saved)

simplify3.0ms (0.1%)

Memory
6.6MiB live, 6.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01560
02160
12660
02660
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
#s(literal 1 binary64)
(+.f64 (exp.f64 b) #s(literal 1 binary64))
(exp.f64 b)
b
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(exp.f64 a)
a
#s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(+.f64 (exp.f64 a) #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
#s(literal 1 binary64)
(+.f64 (exp.f64 b) #s(literal 1 binary64))
(exp.f64 b)
b
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(exp.f64 a)
a
#s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(+.f64 (exp.f64 a) #s(literal 1 binary64))
#s(literal 1 binary64)

localize30.0ms (0.5%)

Memory
23.6MiB live, 62.0MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0
(exp.f64 a)
accuracy0.0078125
(+.f64 (exp.f64 a) #s(literal 1 binary64))
accuracy0.9765693771232895
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
accuracy24.44825511820802
#s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
accuracy0
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
accuracy0
(+.f64 (exp.f64 b) #s(literal 1 binary64))
accuracy0
(exp.f64 b)
accuracy10.805924138363684
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
Samples
22.0ms256×0valid
Compiler

Compiled 105 to 27 computations (74.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-exp: 4.0ms (35.7% of total)
ival-add: 4.0ms (35.7% of total)
ival-div: 3.0ms (26.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.2%)

Memory
-33.4MiB live, 10.5MiB allocated
Counts
8 → 38
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
(+.f64 (exp.f64 b) #s(literal 1 binary64))
(exp.f64 b)
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(exp.f64 a)
#s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(+.f64 (exp.f64 a) #s(literal 1 binary64))
Outputs
(/ 1 (+ 1 (exp b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(+ 1 (exp b))
(+ 1 (+ a (exp b)))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
2
(+ 2 a)
(+ 2 (* a (+ 1 (* 1/2 a))))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(/ (exp a) (+ (exp a) (exp b)))
(exp a)
(+ (exp a) (exp b))
(+ 1 (exp a))
(/ (exp a) (+ 1 (exp a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
1/2
(+ 1/2 (* -1/4 b))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(+ 1 b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(+ 1 (+ b (exp a)))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(exp b)
Calls

6 calls:

TimeVariablePointExpression
4.0ms
a
@inf
((/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (exp b) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (+ (exp a) 1))
2.0ms
b
@inf
((/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (exp b) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (+ (exp a) 1))
1.0ms
b
@-inf
((/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (exp b) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (+ (exp a) 1))
1.0ms
b
@0
((/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (exp b) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (+ (exp a) 1))
0.0ms
a
@-inf
((/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (exp b) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (+ (exp a) 1))

simplify213.0ms (3.8%)

Memory
4.2MiB live, 286.1MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0143601
1380586
21074569
33982543
08099487
Stop Event
1×iter limit
1×node limit
Counts
38 → 38
Calls
Call 1
Inputs
(/ 1 (+ 1 (exp b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(+ 1 (exp b))
(+ 1 (+ a (exp b)))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
2
(+ 2 a)
(+ 2 (* a (+ 1 (* 1/2 a))))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(/ (exp a) (+ (exp a) (exp b)))
(exp a)
(+ (exp a) (exp b))
(+ 1 (exp a))
(/ (exp a) (+ 1 (exp a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
1/2
(+ 1/2 (* -1/4 b))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(+ 1 b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(+ 1 (+ b (exp a)))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 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 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) (/.f64 #s(literal 1 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 3 binary64))) a (*.f64 (fma.f64 a #s(literal 3/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (fma.f64 (fma.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 3/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal 2/3 binary64)) (fma.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 4 binary64))))) (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) a (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) a (*.f64 (fma.f64 a #s(literal 3/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
1
#s(literal 1 binary64)
(+ 1 a)
(+.f64 #s(literal 1 binary64) a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (+ a (exp b)))
(+.f64 (+.f64 (exp.f64 b) a) #s(literal 1 binary64))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) (exp.f64 b)))
2
#s(literal 2 binary64)
(+ 2 a)
(+.f64 #s(literal 2 binary64) a)
(+ 2 (* a (+ 1 (* 1/2 a))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(exp a)
(exp.f64 a)
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(/ (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 (fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) b #s(literal -1 binary64)) (*.f64 (exp.f64 a) (/.f64 b (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))))) b (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(fma.f64 (*.f64 b b) (fma.f64 (fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) #s(literal 1 binary64)) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) #s(literal 1/2 binary64))) b (neg.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) b (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.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)))))
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 (- (* 1/48 (pow b 2)) 1/4)))
(fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))
(+ 2 b)
(+.f64 #s(literal 2 binary64) b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))
(+ 1 b)
(+.f64 #s(literal 1 binary64) b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64))
(+ 1 (+ b (exp a)))
(+.f64 (+.f64 b (exp.f64 a)) #s(literal 1 binary64))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(exp b)
(exp.f64 b)

rewrite147.0ms (2.6%)

Memory
2.2MiB live, 241.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01556
02156
17856
246956
3422356
0830754
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
8 → 346
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
(+.f64 (exp.f64 b) #s(literal 1 binary64))
(exp.f64 b)
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(exp.f64 a)
#s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(+.f64 (exp.f64 a) #s(literal 1 binary64))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b)))))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (expm1.f64 b) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fma.f64 (exp.f64 b) (expm1.f64 b) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 b) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b)))))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 b) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 b) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)) (expm1.f64 (*.f64 #s(literal 3 binary64) b))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (exp.f64 b) #s(literal 4 binary64)) (pow.f64 (neg.f64 (expm1.f64 b)) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)) (exp.f64 b)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 (expm1.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (neg.f64 (expm1.f64 b)) (-.f64 (neg.f64 (expm1.f64 b)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))) (pow.f64 (exp.f64 b) #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)) (expm1.f64 (*.f64 #s(literal 2 binary64) b))) #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b)))))
(*.f64 (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b #s(literal 4 binary64)))) (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)))
(*.f64 (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 b) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (neg.f64 (expm1.f64 b)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 b) #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (expm1.f64 b)))
(*.f64 (/.f64 (fma.f64 (exp.f64 b) (expm1.f64 b) #s(literal 1 binary64)) (expm1.f64 (*.f64 b #s(literal 6 binary64)))) (expm1.f64 (*.f64 #s(literal 3 binary64) b)))
(*.f64 (/.f64 (fma.f64 (exp.f64 b) (expm1.f64 b) #s(literal 1 binary64)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 9 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64))))
(*.f64 (pow.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (neg.f64 (expm1.f64 b)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b))) #s(literal -1 binary64)) (neg.f64 (expm1.f64 b)))
(*.f64 (pow.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (neg.f64 (fma.f64 (exp.f64 b) (expm1.f64 b) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (neg.f64 (fma.f64 (exp.f64 b) (expm1.f64 b) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) b))) (neg.f64 (expm1.f64 b)))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (exp.f64 b) (expm1.f64 b) #s(literal 1 binary64))))
(*.f64 (pow.f64 (expm1.f64 b) #s(literal 1 binary64)) (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (exp.f64 b) (expm1.f64 b) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (expm1.f64 b) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64)) (pow.f64 (expm1.f64 b) #s(literal 1 binary64)))
(*.f64 (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64)) (expm1.f64 b))
(*.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (exp.f64 b) (expm1.f64 b) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (exp.f64 b) (expm1.f64 b) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (exp.f64 b) (expm1.f64 b) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 b)) #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (expm1.f64 b) (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (exp.f64 b) (expm1.f64 b) #s(literal 1 binary64)) (pow.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 b)) #s(literal -1 binary64)))
(*.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b)))) (pow.f64 (*.f64 (expm1.f64 b) (pow.f64 (expm1.f64 b) #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b)))) (pow.f64 (/.f64 (expm1.f64 b) (expm1.f64 b)) #s(literal -1 binary64)))
(*.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b)))))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log1p.f64 (exp.f64 b)))
(pow.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b)))) #s(literal 1 binary64))
(pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1 binary64))
(/.f64 (/.f64 (expm1.f64 b) (+.f64 (exp.f64 b) #s(literal 1 binary64))) (expm1.f64 b))
(/.f64 (*.f64 (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64)) (expm1.f64 (*.f64 #s(literal 3 binary64) b))) (fma.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b) #s(literal 1 binary64)))
(/.f64 (*.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (exp.f64 b) #s(literal 4 binary64)) (pow.f64 (neg.f64 (expm1.f64 b)) #s(literal 2 binary64)))) (+.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)) (exp.f64 b)))
(/.f64 (*.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 (expm1.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 6 binary64)))) (fma.f64 (neg.f64 (expm1.f64 b)) (-.f64 (neg.f64 (expm1.f64 b)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))) (pow.f64 (exp.f64 b) #s(literal 4 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 3 binary64) b))) (*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)) (fma.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b) #s(literal 1 binary64))))
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(pow.f64 (pow.f64 #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/.f64 (neg.f64 #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) #s(literal -1 binary64))
(/.f64 #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal -1 binary64)))
(neg.f64 (neg.f64 #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
(exp.f64 (neg.f64 (*.f64 (log.f64 #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) a)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)) (+.f64 (pow.f64 (exp.f64 a) #s(literal 9 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (expm1.f64 a) (expm1.f64 (*.f64 a #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (expm1.f64 a) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (fma.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a) #s(literal 1 binary64)))
(*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a)) (expm1.f64 (*.f64 #s(literal 3 binary64) a))) (fma.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) (pow.f64 (neg.f64 (expm1.f64 a)) #s(literal 2 binary64)))) (+.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a)) (exp.f64 a)))
(*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 (expm1.f64 a) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 6 binary64)))) (fma.f64 (neg.f64 (expm1.f64 a)) (-.f64 (neg.f64 (expm1.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (pow.f64 (exp.f64 a) #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a)) (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (pow.f64 (neg.f64 (expm1.f64 a)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (expm1.f64 a) #s(literal -1 binary64)) (pow.f64 (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (expm1.f64 a) #s(literal -1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) a)))
(*.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (pow.f64 (neg.f64 (expm1.f64 a)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (neg.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a)) (pow.f64 (expm1.f64 a) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (/.f64 (expm1.f64 a) (expm1.f64 a)))
(*.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (*.f64 (expm1.f64 a) (pow.f64 (expm1.f64 a) #s(literal -1 binary64))))
(*.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(pow.f64 (/.f64 (neg.f64 (expm1.f64 a)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 (expm1.f64 (*.f64 a #s(literal 4 binary64))) (pow.f64 (expm1.f64 a) #s(literal -1 binary64))) (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)))
(/.f64 (*.f64 (expm1.f64 (*.f64 a #s(literal 6 binary64))) (pow.f64 (expm1.f64 a) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))
(/.f64 (*.f64 (expm1.f64 (*.f64 a #s(literal 6 binary64))) (pow.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)) #s(literal -1 binary64))) (expm1.f64 (*.f64 #s(literal 3 binary64) a)))
(/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 9 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (expm1.f64 a)) #s(literal 2 binary64)) (pow.f64 (expm1.f64 a) #s(literal -2 binary64))) (+.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (expm1.f64 a)) (pow.f64 (expm1.f64 a) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 a) #s(literal 6 binary64)) (pow.f64 (expm1.f64 a) #s(literal -3 binary64))) (pow.f64 (expm1.f64 a) #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (expm1.f64 a)) #s(literal 2 binary64)) (+.f64 (pow.f64 (expm1.f64 a) #s(literal -2 binary64)) (*.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (expm1.f64 a)) (pow.f64 (expm1.f64 a) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a)))) (neg.f64 (neg.f64 (expm1.f64 a))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (expm1.f64 a))))
(/.f64 (*.f64 (expm1.f64 (*.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (expm1.f64 a)))
(/.f64 (*.f64 (expm1.f64 (*.f64 a #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (expm1.f64 a)))
(/.f64 (*.f64 (expm1.f64 (*.f64 a #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) a)) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 9 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (expm1.f64 a)) (*.f64 (expm1.f64 a) #s(literal 1 binary64))) (pow.f64 (expm1.f64 a) #s(literal 2 binary64)))
(/.f64 (expm1.f64 (*.f64 a #s(literal 4 binary64))) (*.f64 (expm1.f64 a) (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (neg.f64 (expm1.f64 a)))
(/.f64 (expm1.f64 (*.f64 a #s(literal 6 binary64))) (*.f64 (expm1.f64 a) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))
(/.f64 (expm1.f64 (*.f64 a #s(literal 6 binary64))) (*.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 3 binary64) a))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 9 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (neg.f64 (expm1.f64 a)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64))))
(/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a)) (expm1.f64 a))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (expm1.f64 a)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -1 binary64)))
(neg.f64 (/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a)))
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64))))
(neg.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a)) (neg.f64 (expm1.f64 a))))
(neg.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)))))
(fma.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (expm1.f64 (*.f64 #s(literal 3 binary64) a))) (fma.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a) #s(literal 1 binary64)) (neg.f64 (pow.f64 (expm1.f64 a) #s(literal -1 binary64))))
(fma.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (+.f64 (exp.f64 a) #s(literal 1 binary64)) (neg.f64 (pow.f64 (expm1.f64 a) #s(literal -1 binary64))))
(fma.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (expm1.f64 a) #s(literal -1 binary64)) (neg.f64 (pow.f64 (expm1.f64 a) #s(literal -1 binary64))))
(fma.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (exp.f64 a)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 a)) #s(literal 1 binary64))
(fma.f64 (exp.f64 a) (/.f64 (exp.f64 a) (expm1.f64 a)) (neg.f64 (pow.f64 (expm1.f64 a) #s(literal -1 binary64))))
(fma.f64 (exp.f64 a) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (exp.f64 a) #s(literal 1 binary64))
(-.f64 (pow.f64 (neg.f64 (expm1.f64 a)) #s(literal -1 binary64)) (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (neg.f64 (expm1.f64 a))))
(-.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (expm1.f64 a)) (pow.f64 (expm1.f64 a) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (expm1.f64 a)) (neg.f64 (pow.f64 (expm1.f64 a) #s(literal -1 binary64))))
(+.f64 (exp.f64 a) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (exp.f64 a))

eval44.0ms (0.8%)

Memory
21.7MiB live, 98.7MiB allocated
Compiler

Compiled 9 403 to 1 494 computations (84.1% saved)

prune15.0ms (0.3%)

Memory
-4.0MiB live, 38.4MiB allocated
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New39011401
Fresh000
Picked022
Done000
Total39013403
Accuracy
99.7%
Counts
403 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓67.8%
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
67.3%
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))))
67.5%
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
67.4%
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
▶67.3%
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
66.8%
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
▶82.5%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
✓83.1%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
▶61.3%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
55.4%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
▶42.1%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
41.6%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
▶44.0%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
Compiler

Compiled 460 to 339 computations (26.3% saved)

simplify11.0ms (0.2%)

Memory
-24.6MiB live, 14.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))
cost-diff0
#s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a)))
cost-diff0
(exp.f64 a)
cost-diff0
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
cost-diff0
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))
cost-diff0
#s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))
cost-diff0
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
cost-diff0
(+.f64 #s(literal 2 binary64) b)
cost-diff0
#s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b)))
cost-diff0
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
cost-diff0
#s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))
cost-diff0
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
cost-diff0
(+.f64 (exp.f64 b) #s(literal 1 binary64))
cost-diff0
(pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1/2 binary64))
cost-diff0
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
cost-diff6464
(pow.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036240
055240
169236
288236
3152236
4283236
5355236
6356236
0356236
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1/2 binary64))
(+.f64 (exp.f64 b) #s(literal 1 binary64))
(exp.f64 b)
b
#s(literal 1 binary64)
#s(literal -1/2 binary64)
#s(literal 2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
#s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b)))
#s(literal 1 binary64)
#s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))
(+.f64 #s(literal 2 binary64) b)
#s(literal 2 binary64)
b
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))
#s(literal 1 binary64)
#s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
b
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
(exp.f64 a)
a
#s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a)))
#s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))
(+.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))
(pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1/2 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64))
(+.f64 (exp.f64 b) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(exp.f64 b)
b
#s(literal 1 binary64)
#s(literal -1/2 binary64)
#s(literal 2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
#s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b)))
#s(literal 1 binary64)
#s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))
(+.f64 #s(literal 2 binary64) b)
#s(literal 2 binary64)
b
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))
#s(literal 1 binary64)
#s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
b
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
(exp.f64 a)
a
#s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a)))
#s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))
(+.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)

localize96.0ms (1.7%)

Memory
8.8MiB live, 170.5MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0
(exp.f64 a)
accuracy0.9765693771232895
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
accuracy16.648488161620374
#s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))
accuracy24.44825511820802
#s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a)))
accuracy0.07421875
(fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))
accuracy0.14453125
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
accuracy10.805924138363684
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
accuracy14.149543093550841
#s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
accuracy0
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b)))
accuracy0
(+.f64 #s(literal 2 binary64) b)
accuracy10.805924138363684
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
accuracy26.37929971349965
#s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))
accuracy10.805924138363684
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
accuracy25.052716938046814
#s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))
accuracy0
(+.f64 (exp.f64 b) #s(literal 1 binary64))
accuracy0
(exp.f64 b)
accuracy0.5703125
(pow.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
accuracy10.805924138363684
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
Samples
78.0ms256×0valid
Compiler

Compiled 387 to 63 computations (83.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 59.0ms
ival-pow2: 23.0ms (38.9% of total)
ival-add: 12.0ms (20.3% of total)
const: 6.0ms (10.1% of total)
ival-pow: 6.0ms (10.1% of total)
ival-mult: 5.0ms (8.5% of total)
ival-exp: 4.0ms (6.8% of total)
ival-div: 3.0ms (5.1% of total)
exact: 1.0ms (1.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series10.0ms (0.2%)

Memory
17.8MiB live, 17.8MiB allocated
Counts
21 → 59
Calls
Call 1
Inputs
(pow.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1/2 binary64))
(+.f64 (exp.f64 b) #s(literal 1 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
#s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b)))
#s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))
(+.f64 #s(literal 2 binary64) b)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))
#s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
(exp.f64 a)
#s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a)))
#s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))
(exp.f64 b)
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))
Outputs
(/ 1 (+ 1 (exp b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(+ 1 (exp b))
(+ 1 (+ a (exp b)))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
2
(+ 2 a)
(+ 2 (* a (+ 1 (* 1/2 a))))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(/ (exp a) (+ (exp a) (exp b)))
(exp a)
(+ (exp a) (exp b))
(+ 1 (exp a))
1/2
(+ 1/2 (* -1/4 b))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
(/ (exp a) (+ 1 (exp a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(sqrt 1/2)
(+ (sqrt 1/2) (* -1/8 (/ b (sqrt 1/2))))
(+ (sqrt 1/2) (* b (- (* -1/128 (/ b (pow (sqrt 1/2) 3))) (* 1/8 (/ 1 (sqrt 1/2))))))
(+ (sqrt 1/2) (* b (- (* b (- (* 1/2 (/ (* b (- 1/48 (* 1/512 (/ 1 (pow (sqrt 1/2) 4))))) (sqrt 1/2))) (* 1/128 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/8 (/ 1 (sqrt 1/2))))))
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(+ 1 (+ b (exp a)))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ 1 b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(+ 1/2 (* 1/6 b))
(+ 1 (* 1/2 b))
(+ 1 (* b (+ 1/2 (* 1/6 b))))
(sqrt (/ 1 (+ 1 (exp b))))
b
(* b (+ 1 (* 2 (/ 1 b))))
(* 1/6 (pow b 3))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (* 2 (/ 1 (pow b 3)))))))
(exp b)
(* 1/6 b)
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(* 1/6 (pow b 2))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))) b)) 1/6)))
Calls

6 calls:

TimeVariablePointExpression
3.0ms
b
@-inf
((pow (pow (+ (exp b) 1) -1/2) 2) (/ (exp a) (+ (exp a) (exp b))) (pow (+ (exp b) 1) -1/2) (+ (exp b) 1) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ 2 b) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (+ (exp a) 1) (exp b) (+ (* 1/6 b) 1/2) (+ (* (+ (* 1/6 b) 1/2) b) 1))
2.0ms
b
@inf
((pow (pow (+ (exp b) 1) -1/2) 2) (/ (exp a) (+ (exp a) (exp b))) (pow (+ (exp b) 1) -1/2) (+ (exp b) 1) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ 2 b) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (+ (exp a) 1) (exp b) (+ (* 1/6 b) 1/2) (+ (* (+ (* 1/6 b) 1/2) b) 1))
1.0ms
b
@0
((pow (pow (+ (exp b) 1) -1/2) 2) (/ (exp a) (+ (exp a) (exp b))) (pow (+ (exp b) 1) -1/2) (+ (exp b) 1) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ 2 b) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (+ (exp a) 1) (exp b) (+ (* 1/6 b) 1/2) (+ (* (+ (* 1/6 b) 1/2) b) 1))
1.0ms
a
@0
((pow (pow (+ (exp b) 1) -1/2) 2) (/ (exp a) (+ (exp a) (exp b))) (pow (+ (exp b) 1) -1/2) (+ (exp b) 1) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ 2 b) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (+ (exp a) 1) (exp b) (+ (* 1/6 b) 1/2) (+ (* (+ (* 1/6 b) 1/2) b) 1))
0.0ms
a
@inf
((pow (pow (+ (exp b) 1) -1/2) 2) (/ (exp a) (+ (exp a) (exp b))) (pow (+ (exp b) 1) -1/2) (+ (exp b) 1) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ 2 b) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (+ (exp a) 1) (exp b) (+ (* 1/6 b) 1/2) (+ (* (+ (* 1/6 b) 1/2) b) 1))

simplify308.0ms (5.5%)

Memory
-6.9MiB live, 148.0MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0212803
1584784
21652759
35952755
08103689
Stop Event
1×iter limit
1×node limit
Counts
59 → 58
Calls
Call 1
Inputs
(/ 1 (+ 1 (exp b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(+ 1 (exp b))
(+ 1 (+ a (exp b)))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
2
(+ 2 a)
(+ 2 (* a (+ 1 (* 1/2 a))))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(/ (exp a) (+ (exp a) (exp b)))
(exp a)
(+ (exp a) (exp b))
(+ 1 (exp a))
1/2
(+ 1/2 (* -1/4 b))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
(/ (exp a) (+ 1 (exp a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(sqrt 1/2)
(+ (sqrt 1/2) (* -1/8 (/ b (sqrt 1/2))))
(+ (sqrt 1/2) (* b (- (* -1/128 (/ b (pow (sqrt 1/2) 3))) (* 1/8 (/ 1 (sqrt 1/2))))))
(+ (sqrt 1/2) (* b (- (* b (- (* 1/2 (/ (* b (- 1/48 (* 1/512 (/ 1 (pow (sqrt 1/2) 4))))) (sqrt 1/2))) (* 1/128 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/8 (/ 1 (sqrt 1/2))))))
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(+ 1 (+ b (exp a)))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ 1 b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(+ 1/2 (* 1/6 b))
(+ 1 (* 1/2 b))
(+ 1 (* b (+ 1/2 (* 1/6 b))))
(sqrt (/ 1 (+ 1 (exp b))))
b
(* b (+ 1 (* 2 (/ 1 b))))
(* 1/6 (pow b 3))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (* 2 (/ 1 (pow b 3)))))))
(exp b)
(* 1/6 b)
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(* 1/6 (pow b 2))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))) b)) 1/6)))
Outputs
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (/.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 4 binary64)))))) a (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (/.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
1
#s(literal 1 binary64)
(+ 1 a)
(+.f64 #s(literal 1 binary64) a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (+ a (exp b)))
(+.f64 (+.f64 (exp.f64 b) a) #s(literal 1 binary64))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) (exp.f64 b)))
2
#s(literal 2 binary64)
(+ 2 a)
(+.f64 #s(literal 2 binary64) a)
(+ 2 (* a (+ 1 (* 1/2 a))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(exp a)
(exp.f64 a)
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
1/2
#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 (- (* 1/48 (pow b 2)) 1/4)))
(fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(fma.f64 (neg.f64 (/.f64 b (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (exp.f64 a) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(fma.f64 (fma.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) b (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (neg.f64 b) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (-.f64 #s(literal -1 binary64) (exp.f64 a)))) b (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))) (neg.f64 b) (/.f64 (neg.f64 (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) b (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* -1/8 (/ b (sqrt 1/2))))
(fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))) b (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* b (- (* -1/128 (/ b (pow (sqrt 1/2) 3))) (* 1/8 (/ 1 (sqrt 1/2))))))
(fma.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 b (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) b (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* b (- (* b (- (* 1/2 (/ (* b (- 1/48 (* 1/512 (/ 1 (pow (sqrt 1/2) 4))))) (sqrt 1/2))) (* 1/128 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/8 (/ 1 (sqrt 1/2))))))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/512 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))) #s(literal 1/2 binary64) #s(literal 1/96 binary64)) (/.f64 b (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal -1/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) b (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) b (sqrt.f64 #s(literal 1/2 binary64)))
(+ 2 b)
(+.f64 #s(literal 2 binary64) b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))
(+ 1 (+ b (exp a)))
(+.f64 (+.f64 (exp.f64 a) b) #s(literal 1 binary64))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ 1 b)
(+.f64 #s(literal 1 binary64) b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64))
(+ 1/2 (* 1/6 b))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
(+ 1 (* 1/2 b))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
(+ 1 (* b (+ 1/2 (* 1/6 b))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))
(sqrt (/ 1 (+ 1 (exp b))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
b
(* b (+ 1 (* 2 (/ 1 b))))
(+.f64 #s(literal 2 binary64) b)
(* 1/6 (pow b 3))
(*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/6 binary64))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) b)
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b)
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (* 2 (/ 1 (pow b 3)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))
(exp b)
(exp.f64 b)
(* 1/6 b)
(*.f64 #s(literal 1/6 binary64) b)
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
(* 1/6 (pow b 2))
(*.f64 (*.f64 #s(literal 1/6 binary64) b) b)
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b)
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1/2 binary64)) b) #s(literal -1/6 binary64)) (pow.f64 b #s(literal 3 binary64)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))) b)) 1/6)))
(*.f64 (-.f64 (/.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) b) b) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) b)) b) #s(literal -1/6 binary64)) (pow.f64 b #s(literal 3 binary64)))

rewrite165.0ms (2.9%)

Memory
-14.8MiB live, 181.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036222
055218
1206218
21241218
08386218
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
21 → 377
Calls
Call 1
Inputs
(pow.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1/2 binary64))
(+.f64 (exp.f64 b) #s(literal 1 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
#s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b)))
#s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))
(+.f64 #s(literal 2 binary64) b)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))
#s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
(exp.f64 a)
#s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a)))
#s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))
(exp.f64 b)
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))
Outputs
(*.f64 (pow.f64 (pow.f64 (expm1.f64 (+.f64 b b)) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (expm1.f64 b) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (exp.f64 b) (exp.f64 b) (-.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -3/4 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 (expm1.f64 (+.f64 b b)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (expm1.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (expm1.f64 (+.f64 b b)) #s(literal -1 binary64)) (expm1.f64 b))
(*.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (exp.f64 b) (exp.f64 b) (-.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (exp.f64 b) (exp.f64 b) (-.f64 #s(literal 1 binary64) (exp.f64 b))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -3/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/4 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -3/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -3/4 binary64)))
(*.f64 (expm1.f64 b) (pow.f64 (expm1.f64 (+.f64 b b)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (exp.f64 b) (exp.f64 b) (-.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
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(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal -1 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)))) (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal -1 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 9 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 6 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 3 binary64)))) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal -1 binary64))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b))))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b))))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b))) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) b) (pow.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64)) b) (pow.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) (-.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/12 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 b (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64))) (pow.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 b (fma.f64 #s(literal 1/216 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64))) (pow.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) (-.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/12 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 1 binary64))
(fma.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b))) (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b))))
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal -1 binary64))) (pow.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal -1 binary64)) #s(literal -1 binary64)))
(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal -1 binary64)) #s(literal -1 binary64))))
(+.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b))

eval85.0ms (1.5%)

Memory
0.1MiB live, 77.1MiB allocated
Compiler

Compiled 13 484 to 2 112 computations (84.3% saved)

prune21.0ms (0.4%)

Memory
13.7MiB live, 50.1MiB allocated
Pruning

20 alts after pruning (15 fresh and 5 done)

PrunedKeptTotal
New42110431
Fresh156
Picked235
Done022
Total42420444
Accuracy
99.8%
Counts
444 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓67.8%
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
67.3%
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))))
▶67.5%
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
67.4%
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
66.8%
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
44.1%
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
44.1%
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
44.8%
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
44.4%
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
43.4%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (pow (+ (exp b) 1) -1/2) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))
✓83.1%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
✓61.3%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
▶61.3%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
▶55.4%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
61.3%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)))) b #s(literal 2 binary64)))))
✓42.1%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
▶22.7%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b)))))
23.1%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) b)))))
▶41.6%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ (exp b) 1) -1/2) 2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
✓44.0%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
Compiler

Compiled 840 to 603 computations (28.2% saved)

simplify33.0ms (0.6%)

Memory
4.9MiB live, 41.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
054471
085471
1120467
2172467
3336467
4649467
5916467
61332467
71455467
81455467
01455463
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
(exp.f64 a)
a
#s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64))))
#s(approx (+ (exp a) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ (exp b) 1) -1/2) 2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (pow (pow (+ (exp b) 1) -1/2) 2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
#s(literal -1/4 binary64)
b
#s(literal 1/2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))
#s(literal 1 binary64)
#s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
#s(literal 1/2 binary64)
b
#s(literal 2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b))))
#s(literal 1 binary64)
#s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b)))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b)
(fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
b
#s(literal 1/2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64))))
#s(literal 1 binary64)
#s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
(fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64))
(/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64))
#s(literal 1/36 binary64)
(*.f64 b b)
b
#s(literal -1/4 binary64)
(fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))
#s(literal 1/6 binary64)
#s(literal -1/2 binary64)
#s(literal 2 binary64)
Outputs
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
(exp.f64 a)
a
#s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64))))
#s(approx (+ (exp a) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ (exp b) 1) -1/2) 2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (pow (pow (+ (exp b) 1) -1/2) 2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
#s(literal -1/4 binary64)
b
#s(literal 1/2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))
#s(literal 1 binary64)
#s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
#s(literal 1/2 binary64)
b
#s(literal 2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b))))
#s(literal 1 binary64)
#s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b)))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b)
(fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
b
#s(literal 1/2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)) b #s(literal 2 binary64))))
#s(literal 1 binary64)
#s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
#s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)) b #s(literal 2 binary64)))
(fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64))
(fma.f64 (fma.f64 (/.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)) b #s(literal 2 binary64))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64))
(fma.f64 (/.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)))
(/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64))
(fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64))
#s(literal 1/36 binary64)
(*.f64 b b)
b
#s(literal -1/4 binary64)
(fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))
#s(literal 1/6 binary64)
#s(literal -1/2 binary64)
#s(literal 2 binary64)

localize188.0ms (3.3%)

Memory
2.8MiB live, 167.8MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.1484375
(fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))
accuracy10.805924138363684
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
accuracy12.656721850161055
(/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)))
accuracy14.149543093550841
#s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
accuracy0.14453125
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
accuracy10.805924138363684
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b)))))
accuracy14.149543093550841
#s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b)))
accuracy35.50957226791308
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b))
accuracy0
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
accuracy0
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))
accuracy10.805924138363684
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
accuracy17.762552079585348
#s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
accuracy0
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
accuracy10.805924138363684
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ (exp b) 1) -1/2) 2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
accuracy26.552177571020035
#s(approx (pow (pow (+ (exp b) 1) -1/2) 2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
accuracy0.078125
(fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64))
accuracy0.9765693771232895
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
accuracy16.5124052684736
#s(approx (+ (exp a) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64)))
accuracy24.44825511820802
#s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64))))
Samples
144.0ms256×0valid
Compiler

Compiled 743 to 106 computations (85.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 93.0ms
ival-add: 45.0ms (48.5% of total)
ival-mult: 19.0ms (20.5% of total)
ival-div: 7.0ms (7.5% of total)
const: 7.0ms (7.5% of total)
ival-pow: 6.0ms (6.5% of total)
ival-exp: 4.0ms (4.3% of total)
ival-pow2: 3.0ms (3.2% of total)
exact: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series9.0ms (0.2%)

Memory
16.9MiB live, 16.9MiB allocated
Counts
24 → 59
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
(exp.f64 a)
#s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64))))
#s(approx (+ (exp a) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ (exp b) 1) -1/2) 2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (pow (pow (+ (exp b) 1) -1/2) 2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))
#s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b))))
#s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b)))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64))))
#s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
(fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64))
(fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
(/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))
Outputs
(/ 1 (+ 1 (exp b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(+ 1 (exp b))
(+ 1 (+ a (exp b)))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
2
(+ 2 a)
(+ 2 (* a (+ 1 (* 1/2 a))))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
1/2
(+ 1/2 (* 1/6 a))
(/ (exp a) (+ (exp a) (exp b)))
(exp a)
(+ (exp a) (exp b))
(+ 1 (exp a))
(* 1/6 a)
(* a (+ 1/6 (* 1/2 (/ 1 a))))
(/ (exp a) (+ 1 (exp a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(+ 1 (+ b (exp a)))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ 1/2 (* -1/4 b))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(+ 1 (* 1/2 b))
(+ 1/2 (* 1/6 b))
-1/2
(- (* 1/6 b) 1/2)
(* -1/4 b)
(* b (- (* 1/2 (/ 1 b)) 1/4))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(* 1/6 (pow b 3))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (* 2 (/ 1 (pow b 3)))))))
(* 1/2 b)
(* b (+ 1/2 (/ 1 b)))
(* 1/6 b)
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(* b (- 1/6 (* 1/2 (/ 1 b))))
(* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))) b)) 1/6)))
(* -1 (* b (- (* 1/2 (/ 1 b)) 1/6)))
Calls

6 calls:

TimeVariablePointExpression
2.0ms
b
@-inf
((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (+ (exp a) 1) (/ (exp a) (+ (exp a) (exp b))) (pow (pow (+ (exp b) 1) -1/2) 2) (+ (* -1/4 b) 1/2) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ (* (+ (* 1/2 b) 1) b) 2) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ (* (+ (* (/ (+ (* 1/36 (* b b)) -1/4) (+ (* 1/6 b) -1/2)) b) 1) b) 2) (+ (* 1/6 a) 1/2) (+ (* 1/2 b) 1) (+ (* 1/6 b) 1/2) (/ (+ (* 1/36 (* b b)) -1/4) (+ (* 1/6 b) -1/2)) (+ (* 1/6 b) -1/2))
2.0ms
b
@inf
((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (+ (exp a) 1) (/ (exp a) (+ (exp a) (exp b))) (pow (pow (+ (exp b) 1) -1/2) 2) (+ (* -1/4 b) 1/2) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ (* (+ (* 1/2 b) 1) b) 2) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ (* (+ (* (/ (+ (* 1/36 (* b b)) -1/4) (+ (* 1/6 b) -1/2)) b) 1) b) 2) (+ (* 1/6 a) 1/2) (+ (* 1/2 b) 1) (+ (* 1/6 b) 1/2) (/ (+ (* 1/36 (* b b)) -1/4) (+ (* 1/6 b) -1/2)) (+ (* 1/6 b) -1/2))
1.0ms
b
@0
((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (+ (exp a) 1) (/ (exp a) (+ (exp a) (exp b))) (pow (pow (+ (exp b) 1) -1/2) 2) (+ (* -1/4 b) 1/2) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ (* (+ (* 1/2 b) 1) b) 2) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ (* (+ (* (/ (+ (* 1/36 (* b b)) -1/4) (+ (* 1/6 b) -1/2)) b) 1) b) 2) (+ (* 1/6 a) 1/2) (+ (* 1/2 b) 1) (+ (* 1/6 b) 1/2) (/ (+ (* 1/36 (* b b)) -1/4) (+ (* 1/6 b) -1/2)) (+ (* 1/6 b) -1/2))
1.0ms
a
@0
((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (+ (exp a) 1) (/ (exp a) (+ (exp a) (exp b))) (pow (pow (+ (exp b) 1) -1/2) 2) (+ (* -1/4 b) 1/2) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ (* (+ (* 1/2 b) 1) b) 2) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ (* (+ (* (/ (+ (* 1/36 (* b b)) -1/4) (+ (* 1/6 b) -1/2)) b) 1) b) 2) (+ (* 1/6 a) 1/2) (+ (* 1/2 b) 1) (+ (* 1/6 b) 1/2) (/ (+ (* 1/36 (* b b)) -1/4) (+ (* 1/6 b) -1/2)) (+ (* 1/6 b) -1/2))
1.0ms
a
@-inf
((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (+ (exp a) 1) (/ (exp a) (+ (exp a) (exp b))) (pow (pow (+ (exp b) 1) -1/2) 2) (+ (* -1/4 b) 1/2) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ (* (+ (* 1/2 b) 1) b) 2) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ (* (+ (* (/ (+ (* 1/36 (* b b)) -1/4) (+ (* 1/6 b) -1/2)) b) 1) b) 2) (+ (* 1/6 a) 1/2) (+ (* 1/2 b) 1) (+ (* 1/6 b) 1/2) (/ (+ (* 1/36 (* b b)) -1/4) (+ (* 1/6 b) -1/2)) (+ (* 1/6 b) -1/2))

simplify167.0ms (3%)

Memory
-19.0MiB live, 220.0MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0190743
1539726
21562703
36714699
08365638
Stop Event
1×iter limit
1×node limit
Counts
59 → 59
Calls
Call 1
Inputs
(/ 1 (+ 1 (exp b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(+ 1 (exp b))
(+ 1 (+ a (exp b)))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
2
(+ 2 a)
(+ 2 (* a (+ 1 (* 1/2 a))))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
1/2
(+ 1/2 (* 1/6 a))
(/ (exp a) (+ (exp a) (exp b)))
(exp a)
(+ (exp a) (exp b))
(+ 1 (exp a))
(* 1/6 a)
(* a (+ 1/6 (* 1/2 (/ 1 a))))
(/ (exp a) (+ 1 (exp a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(+ 1 (+ b (exp a)))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ 1/2 (* -1/4 b))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(+ 1 (* 1/2 b))
(+ 1/2 (* 1/6 b))
-1/2
(- (* 1/6 b) 1/2)
(* -1/4 b)
(* b (- (* 1/2 (/ 1 b)) 1/4))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(* 1/6 (pow b 3))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (* 2 (/ 1 (pow b 3)))))))
(* 1/2 b)
(* b (+ 1/2 (/ 1 b)))
(* 1/6 b)
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(* b (- 1/6 (* 1/2 (/ 1 b))))
(* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))) b)) 1/6)))
(* -1 (* b (- (* 1/2 (/ 1 b)) 1/6)))
Outputs
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (/.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 4 binary64)))))) a (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (/.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
1
#s(literal 1 binary64)
(+ 1 a)
(+.f64 #s(literal 1 binary64) a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (+ a (exp b)))
(+.f64 (+.f64 (exp.f64 b) a) #s(literal 1 binary64))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) (exp.f64 b)))
2
#s(literal 2 binary64)
(+ 2 a)
(+.f64 #s(literal 2 binary64) a)
(+ 2 (* a (+ 1 (* 1/2 a))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 a))
(fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(exp a)
(exp.f64 a)
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(* 1/6 a)
(*.f64 #s(literal 1/6 binary64) a)
(* a (+ 1/6 (* 1/2 (/ 1 a))))
(fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(fma.f64 (neg.f64 (/.f64 b (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (exp.f64 a) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(fma.f64 (fma.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) b (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (neg.f64 b) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (-.f64 #s(literal -1 binary64) (exp.f64 a)))) b (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))) (neg.f64 b) (/.f64 (neg.f64 (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) b (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ 1 (+ b (exp a)))
(+.f64 (+.f64 b (exp.f64 a)) #s(literal 1 binary64))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ 1/2 (* -1/4 b))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))
(+ 2 b)
(+.f64 #s(literal 2 binary64) b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))
(+ 1 (* 1/2 b))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
(+ 1/2 (* 1/6 b))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(- (* 1/6 b) 1/2)
(fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* b (- (* 1/2 (/ 1 b)) 1/4))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
(* 1/2 (pow b 2))
(*.f64 (*.f64 b b) #s(literal 1/2 binary64))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) b) b b)
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))
(* 1/6 (pow b 3))
(*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/6 binary64))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) b)
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b)
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (* 2 (/ 1 (pow b 3)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 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))
(* 1/6 b)
(*.f64 #s(literal 1/6 binary64) b)
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
(* b (- 1/6 (* 1/2 (/ 1 b))))
(fma.f64 #s(literal 1/6 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 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1/2 binary64)) b) #s(literal -1/6 binary64)) (pow.f64 b #s(literal 3 binary64)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))) b)) 1/6)))
(*.f64 (-.f64 (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) b (/.f64 (+.f64 #s(literal 2 binary64) b) b)) b) b) #s(literal -1/6 binary64)) (pow.f64 b #s(literal 3 binary64)))
(* -1 (* b (- (* 1/2 (/ 1 b)) 1/6)))
(fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))

rewrite242.0ms (4.3%)

Memory
8.6MiB live, 165.1MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
054392
085381
1348349
22537349
08449349
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
24 → 416
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
(exp.f64 a)
#s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64))))
#s(approx (+ (exp a) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ (exp b) 1) -1/2) 2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (pow (pow (+ (exp b) 1) -1/2) 2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))
#s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b))))
#s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b)))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64))))
#s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
(fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64))
(fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
(/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))
Outputs
(*.f64 (pow.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64)))) #s(literal -1 binary64)) (exp.f64 a))
(*.f64 (neg.f64 (exp.f64 a)) (pow.f64 (neg.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64))))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64))))))
(*.f64 (exp.f64 a) (pow.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (/.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64)))) (exp.f64 a)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64)))) (exp.f64 a)) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (exp.f64 a)))) (neg.f64 (neg.f64 (neg.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (exp.f64 a))) (neg.f64 (neg.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (exp.f64 a)) (neg.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64)))) (exp.f64 a)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64)))) (exp.f64 a))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64)))) (exp.f64 a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64)))) (exp.f64 a)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64)))) (exp.f64 a)))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
(neg.f64 (/.f64 (neg.f64 (exp.f64 a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64))))))
(neg.f64 (/.f64 (exp.f64 a) (neg.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))) (/.f64 (exp.f64 a) (neg.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64)))) (exp.f64 a))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (exp.f64 a))
(*.f64 (exp.f64 a) #s(literal 1 binary64))
(exp.f64 a)
#s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64))))
#s(approx (+ (exp a) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ (exp b) 1) -1/2) 2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (pow (pow (+ (exp b) 1) -1/2) 2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
(*.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/64 binary64) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 b b) (-.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal -1/8 binary64)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/16 binary64) (*.f64 b b) #s(literal -1/4 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 b b) (-.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal -1/8 binary64)))) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/64 binary64) #s(literal 1/8 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/16 binary64) (*.f64 b b)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/64 binary64) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 b b) (-.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal -1/8 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 b b)) (fma.f64 #s(literal -1/4 binary64) b #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal -1/4 binary64) b #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/16 binary64) (*.f64 b b))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b)))
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(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b b) #s(literal 1/36 binary64)))) (neg.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) b))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) b) b (+.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal -1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal -1/12 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 b b) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b b) #s(literal 1/36 binary64))) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) b)))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 #s(literal 1/36 binary64) b) b (+.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/12 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal -1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 b b) #s(literal 1/36 binary64)) (*.f64 b #s(literal -1/12 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal -1/8 binary64))) (neg.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal -1/12 binary64))))))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 b b) #s(literal 1/36 binary64)) (*.f64 b #s(literal -1/12 binary64)))))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal -1/8 binary64)) (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal -1/12 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal -1/12 binary64)))) (fma.f64 #s(literal 1/216 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal -1/8 binary64)))))
(/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal -1/12 binary64)))) (fma.f64 #s(literal 1/216 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal -1/8 binary64))))
(fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))
(fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) b))) (/.f64 (*.f64 (*.f64 b b) #s(literal 1/36 binary64)) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) b))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/36 binary64) b) b (+.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/12 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 (*.f64 #s(literal 1/36 binary64) b) b (+.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/12 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)))) (neg.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 4 binary64)) (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1/16 binary64) (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 b b) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))))
(-.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64))
(+.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) b))

eval55.0ms (1%)

Memory
17.4MiB live, 92.9MiB allocated
Compiler

Compiled 15 566 to 2 262 computations (85.5% saved)

prune35.0ms (0.6%)

Memory
-50.2MiB live, 44.1MiB allocated
Pruning

24 alts after pruning (16 fresh and 8 done)

PrunedKeptTotal
New3907397
Fresh1910
Picked235
Done055
Total39324417
Accuracy
100.0%
Counts
417 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓67.8%
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
67.3%
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))))
66.8%
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
45.1%
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
44.1%
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
46.4%
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
44.1%
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
44.8%
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
56.9%
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
44.4%
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
43.4%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (pow (+ (exp b) 1) -1/2) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))
✓83.1%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
✓61.3%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
62.7%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(approx (+ (* 1/6 b) -1/2) #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
✓55.4%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
61.3%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)))) b #s(literal 2 binary64)))))
✓42.1%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
✓22.7%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b)))))
23.1%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) b)))))
16.7%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) b) b b)))))
17.1%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))))
✓41.6%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ (exp b) 1) -1/2) 2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
4.0%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ (exp b) 1) -1/2) 2) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
✓44.0%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
Compiler

Compiled 1 352 to 584 computations (56.8% saved)

regimes41.0ms (0.7%)

Memory
23.7MiB live, 62.3MiB allocated
Counts
31 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ (exp b) 1) -1/2) 2) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ (exp b) 1) -1/2) 2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) b) b b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(approx (+ (* 1/6 b) -1/2) #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)))) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (pow (+ (exp b) 1) -1/2) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Calls

5 calls:

10.0ms
b
9.0ms
a
7.0ms
(exp.f64 b)
7.0ms
(exp.f64 a)
7.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Results
AccuracySegmentsBranch
98.4%1a
98.4%1b
98.4%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
98.4%1(exp.f64 a)
98.4%1(exp.f64 b)
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes41.0ms (0.7%)

Memory
-13.7MiB live, 63.1MiB allocated
Counts
30 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ (exp b) 1) -1/2) 2) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ (exp b) 1) -1/2) 2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) b) b b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(approx (+ (* 1/6 b) -1/2) #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)))) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (pow (+ (exp b) 1) -1/2) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
Outputs
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
Calls

5 calls:

10.0ms
a
9.0ms
b
7.0ms
(exp.f64 a)
7.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
7.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
99.0%2a
99.6%3b
83.1%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
99.0%2(exp.f64 a)
99.6%3(exp.f64 b)
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes16.0ms (0.3%)

Memory
23.9MiB live, 23.9MiB allocated
Counts
28 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ (exp b) 1) -1/2) 2) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ (exp b) 1) -1/2) 2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) b) b b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(approx (+ (* 1/6 b) -1/2) #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)))) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (pow (+ (exp b) 1) -1/2) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
Outputs
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
Calls

2 calls:

8.0ms
a
6.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
99.0%2a
99.0%2(exp.f64 a)
Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes17.0ms (0.3%)

Memory
-17.6MiB live, 23.0MiB allocated
Counts
27 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ (exp b) 1) -1/2) 2) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ (exp b) 1) -1/2) 2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) b) b b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(approx (+ (* 1/6 b) -1/2) #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)))) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (pow (+ (exp b) 1) -1/2) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
Outputs
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
Calls

2 calls:

8.0ms
a
8.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
98.9%2a
98.9%2(exp.f64 a)
Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes15.0ms (0.3%)

Memory
15.6MiB live, 15.6MiB allocated
Counts
26 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ (exp b) 1) -1/2) 2) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ (exp b) 1) -1/2) 2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) b) b b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(approx (+ (* 1/6 b) -1/2) #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)))) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (pow (+ (exp b) 1) -1/2) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))))
Outputs
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
Calls

2 calls:

8.0ms
a
6.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
98.8%2a
98.8%2(exp.f64 a)
Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes21.0ms (0.4%)

Memory
-24.2MiB live, 14.2MiB allocated
Counts
24 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ (exp b) 1) -1/2) 2) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ (exp b) 1) -1/2) 2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) b) b b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(approx (+ (* 1/6 b) -1/2) #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)))) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (pow (+ (exp b) 1) -1/2) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
Outputs
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
Calls

2 calls:

14.0ms
a
6.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
98.6%2a
98.6%2(exp.f64 a)
Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes31.0ms (0.6%)

Memory
30.6MiB live, 30.6MiB allocated
Counts
23 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ (exp b) 1) -1/2) 2) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ (exp b) 1) -1/2) 2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) b) b b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(approx (+ (* 1/6 b) -1/2) #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)))) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (pow (+ (exp b) 1) -1/2) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
Outputs
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(approx (+ (* 1/6 b) -1/2) #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
Calls

5 calls:

7.0ms
a
7.0ms
b
5.0ms
(exp.f64 a)
5.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
5.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
68.6%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
82.0%2b
81.0%2(exp.f64 b)
79.9%2(exp.f64 a)
79.9%2a
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes43.0ms (0.8%)

Memory
-3.1MiB live, 35.7MiB allocated
Counts
22 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ (exp b) 1) -1/2) 2) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ (exp b) 1) -1/2) 2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) b) b b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(approx (+ (* 1/6 b) -1/2) #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)))) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (pow (+ (exp b) 1) -1/2) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))
Outputs
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(approx (+ (* 1/6 b) -1/2) #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
Calls

4 calls:

25.0ms
b
7.0ms
a
5.0ms
(exp.f64 b)
5.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
69.8%2(exp.f64 a)
72.2%2a
73.9%2(exp.f64 b)
74.6%2b
Compiler

Compiled 6 to 10 computations (-66.7% saved)

regimes14.0ms (0.3%)

Memory
-19.2MiB live, 17.2MiB allocated
Counts
17 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ (exp b) 1) -1/2) 2) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ (exp b) 1) -1/2) 2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) b) b b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
Outputs
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) b)))))
Calls

2 calls:

8.0ms
(exp.f64 b)
5.0ms
b
Results
AccuracySegmentsBranch
72.5%2(exp.f64 b)
73.4%2b
Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes21.0ms (0.4%)

Memory
32.4MiB live, 32.4MiB allocated
Counts
14 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ (exp b) 1) -1/2) 2) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ (exp b) 1) -1/2) 2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) b) b b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
Outputs
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
Calls

5 calls:

5.0ms
a
5.0ms
b
4.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms
(exp.f64 a)
3.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
64.6%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
61.3%1(exp.f64 a)
61.3%1a
64.7%2(exp.f64 b)
64.7%2b
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes13.0ms (0.2%)

Memory
-24.5MiB live, 15.4MiB allocated
Counts
13 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ (exp b) 1) -1/2) 2) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ (exp b) 1) -1/2) 2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) b) b b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b)))))
Outputs
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b)))))
Calls

2 calls:

8.0ms
(exp.f64 b)
4.0ms
b
Results
AccuracySegmentsBranch
64.7%2b
64.7%2(exp.f64 b)
Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes8.0ms (0.1%)

Memory
24.4MiB live, 24.4MiB allocated
Counts
12 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ (exp b) 1) -1/2) 2) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ (exp b) 1) -1/2) 2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) b) b b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) b)))))
Outputs
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) b)))))
Calls

2 calls:

4.0ms
b
3.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
64.6%2b
64.6%2(exp.f64 b)
Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes23.0ms (0.4%)

Memory
-30.9MiB live, 43.1MiB allocated
Counts
11 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ (exp b) 1) -1/2) 2) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ (exp b) 1) -1/2) 2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) b) b b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
Outputs
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
Calls

5 calls:

6.0ms
a
6.0ms
(exp.f64 b)
4.0ms
b
3.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
3.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
55.4%1a
55.4%1(exp.f64 a)
58.4%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
58.4%2b
58.4%2(exp.f64 b)
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes7.0ms (0.1%)

Memory
18.0MiB live, 18.0MiB allocated
Counts
9 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ (exp b) 1) -1/2) 2) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ (exp b) 1) -1/2) 2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) b) b b)))))
Outputs
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) b) b b)))))
Calls

2 calls:

3.0ms
b
3.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
58.4%2b
58.4%2(exp.f64 b)
Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes6.0ms (0.1%)

Memory
15.9MiB live, 15.9MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ (exp b) 1) -1/2) 2) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ (exp b) 1) -1/2) 2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))))
Outputs
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))))
Calls

2 calls:

3.0ms
b
2.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
58.4%2b
58.4%2(exp.f64 b)
Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes14.0ms (0.3%)

Memory
-13.1MiB live, 25.7MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ (exp b) 1) -1/2) 2) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ (exp b) 1) -1/2) 2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
Outputs
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
Calls

5 calls:

4.0ms
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
44.8%1a
44.8%1(exp.f64 a)
44.8%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
44.8%1b
44.8%1(exp.f64 b)
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes14.0ms (0.3%)

Memory
-23.4MiB live, 20.9MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ (exp b) 1) -1/2) 2) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ (exp b) 1) -1/2) 2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
Outputs
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
Calls

5 calls:

5.0ms
a
3.0ms
b
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
44.4%1a
44.4%1b
44.4%1(exp.f64 a)
44.4%1(exp.f64 b)
44.4%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes11.0ms (0.2%)

Memory
21.2MiB live, 21.2MiB allocated
Accuracy

Total -26.2b remaining (-73%)

Threshold costs -26.2b (-73%)

Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ (exp b) 1) -1/2) 2) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ (exp b) 1) -1/2) 2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
Calls

5 calls:

2.0ms
b
2.0ms
a
2.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
2.0ms
(exp.f64 a)
2.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
44.0%1a
44.0%1(exp.f64 a)
44.0%1b
44.0%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
44.0%1(exp.f64 b)
Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.9999999968044455
0.9999999975608214
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.9999999968044455
0.9999999975608214
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.9999999968044455
0.9999999975608214
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.9999999968044455
0.9999999975608214
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch13.0ms (0.2%)

Memory
-19.0MiB live, 18.4MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
12.0ms
-510997647.4485999
-14693860.907915976
Samples
8.0ms112×0valid
Compiler

Compiled 221 to 186 computations (15.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-exp: 2.0ms (54.3% of total)
ival-div: 1.0ms (27.1% of total)
ival-add: 1.0ms (27.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch14.0ms (0.3%)

Memory
21.6MiB live, 21.6MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
13.0ms
5.2364185218136155e+60
7.739092284805474e+67
Samples
7.0ms144×0valid
Compiler

Compiled 470 to 371 computations (21.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-exp: 2.0ms (52.7% of total)
ival-div: 1.0ms (26.4% of total)
ival-add: 1.0ms (26.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
2.9MiB live, 2.9MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
2.0ms
5.2364185218136155e+60
7.739092284805474e+67
Compiler

Compiled 569 to 425 computations (25.3% saved)

bsearch40.0ms (0.7%)

Memory
-21.0MiB live, 16.6MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
38.0ms
4.713282708158104e+98
1.4430944395607148e+110
Samples
8.0ms160×0valid
Compiler

Compiled 651 to 481 computations (26.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-exp: 2.0ms (48% of total)
ival-div: 1.0ms (24% of total)
ival-add: 1.0ms (24% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch10.0ms (0.2%)

Memory
5.4MiB live, 5.4MiB allocated
Algorithm
1×binary-search
Stop Event
1×predicate-same
Steps
TimeLeftRight
8.0ms
6.902477789408553e-45
1.5780893740444196e-41
Samples
5.0ms96×0valid
Compiler

Compiled 293 to 221 computations (24.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-div: 1.0ms (39.2% of total)
ival-exp: 1.0ms (39.2% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.0
164.56867484991517
Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.0
164.56867484991517
Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.0
164.56867484991517
Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.0
164.56867484991517
Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.0
164.56867484991517
Compiler

Compiled 11 to 11 computations (0% saved)

simplify32.0ms (0.6%)

Memory
3.2MiB live, 41.4MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0130787
1143787
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 4503599613859697/4503599627370496 binary64)) (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))))
(if (<=.f64 (exp.f64 a) #s(literal 4503599613859697/4503599627370496 binary64)) (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))))
(if (<=.f64 (exp.f64 a) #s(literal 4503599613859697/4503599627370496 binary64)) (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))))
(if (<=.f64 (exp.f64 a) #s(literal 4503599613859697/4503599627370496 binary64)) (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))))
(if (<=.f64 a #s(literal -15000000 binary64)) (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))))
(if (<=.f64 b #s(literal 75000000000000005439857728614692634461878080723489146663865761660928 binary64)) (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(approx (+ (* 1/6 b) -1/2) #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64))))))
(if (<=.f64 b #s(literal 75000000000000005439857728614692634461878080723489146663865761660928 binary64)) (/.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(approx (+ (* 1/6 b) -1/2) #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64))))))
(if (<=.f64 b #s(literal 4300000000000000126662498538739519728979004887202038196878176021395756309587636148316920650074685440 binary64)) (/.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) b))))))
(if (<=.f64 b #s(literal 6277101735386681/1569275433846670190958947355801916604025588861116008628224 binary64)) (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))))
(if (<=.f64 (exp.f64 b) #s(literal 2 binary64)) (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b))))))
(if (<=.f64 (exp.f64 b) #s(literal 2 binary64)) (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) b))))))
(if (<=.f64 (exp.f64 b) #s(literal 2 binary64)) (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))))
(if (<=.f64 (exp.f64 b) #s(literal 2 binary64)) (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) b) b b))))))
(if (<=.f64 (exp.f64 b) #s(literal 2 binary64)) (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64)))))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(if (<=.f64 (exp.f64 a) #s(literal 4503599613859697/4503599627370496 binary64)) (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))))
(if (<=.f64 (exp.f64 a) #s(literal 4503599613859697/4503599627370496 binary64)) (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(if (<=.f64 (exp.f64 a) #s(literal 4503599613859697/4503599627370496 binary64)) (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))))
(if (<=.f64 (exp.f64 a) #s(literal 4503599613859697/4503599627370496 binary64)) (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(if (<=.f64 (exp.f64 a) #s(literal 4503599613859697/4503599627370496 binary64)) (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))))
(if (<=.f64 (exp.f64 a) #s(literal 4503599613859697/4503599627370496 binary64)) (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(if (<=.f64 (exp.f64 a) #s(literal 4503599613859697/4503599627370496 binary64)) (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))))
(if (<=.f64 (exp.f64 a) #s(literal 4503599613859697/4503599627370496 binary64)) (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(if (<=.f64 a #s(literal -15000000 binary64)) (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))))
(if (<=.f64 a #s(literal -15000000 binary64)) (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(if (<=.f64 b #s(literal 75000000000000005439857728614692634461878080723489146663865761660928 binary64)) (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(approx (+ (* 1/6 b) -1/2) #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64))))))
(if (<=.f64 b #s(literal 75000000000000005439857728614692634461878080723489146663865761660928 binary64)) (/.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(approx (+ (* 1/6 b) -1/2) #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64))))))
(if (<=.f64 b #s(literal 4300000000000000126662498538739519728979004887202038196878176021395756309587636148316920650074685440 binary64)) (/.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) b))))))
(if (<=.f64 b #s(literal 6277101735386681/1569275433846670190958947355801916604025588861116008628224 binary64)) (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))))
(if (<=.f64 (exp.f64 b) #s(literal 2 binary64)) (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b))))))
(if (<=.f64 (exp.f64 b) #s(literal 2 binary64)) (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) b))))))
(if (<=.f64 (exp.f64 b) #s(literal 2 binary64)) (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))))
(if (<=.f64 (exp.f64 b) #s(literal 2 binary64)) (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) b) b b))))))
(if (<=.f64 (exp.f64 b) #s(literal 2 binary64)) (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64)))))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))

soundness1.6s (28.1%)

Memory
0.4MiB live, 1 189.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0143601
1380586
21074569
33982543
08099487
0190743
1539726
21562703
36714699
08365638
0120516
1332501
2963484
33682453
08319416
036222
055218
1206218
21241218
08386218
0212803
1584784
21652759
35952755
08103689
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×node limit
1×iter limit
1×node limit
Compiler

Compiled 1 319 to 624 computations (52.7% saved)

preprocess121.0ms (2.1%)

Memory
27.5MiB live, 225.3MiB allocated
Compiler

Compiled 1 606 to 296 computations (81.6% saved)

end0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

Profiling

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