Quotient of sum of exps

Time bar (total: 5.5s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze5.0ms (0.1%)

Memory
6.2MiB live, 6.2MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
50%50%50%0.1%0%0%0%2
75%74.9%25%0.1%0%0%0%3
87.5%87.4%12.5%0.1%0%0%0%4
93.8%93.7%6.2%0.1%0%0%0%5
93.8%93.7%6.2%0.1%0%0%0%6
95.2%93.7%4.7%0.1%0%1.6%0%7
96%93.7%3.9%0.1%0%2.3%0%8
97.2%93.7%2.7%0.1%0%3.5%0%9
97.8%93.7%2.1%0.1%0%4.1%0%10
98.5%93.7%1.5%0.1%0%4.8%0%11
98.8%93.7%1.1%0.1%0%5.1%0%12
Compiler

Compiled 10 to 8 computations (20% saved)

sample1.2s (22%)

Memory
-180.8MiB live, 1 076.6MiB allocated
Samples
674.0ms8 256×0valid
170.0ms3 086×0exit
Precisions
Click to see histograms. Total time spent on operations: 320.0ms
ival-exp: 177.0ms (55.3% of total)
ival-div: 76.0ms (23.7% of total)
ival-add: 55.0ms (17.2% of total)
ival-true: 8.0ms (2.5% of total)
ival-assert: 4.0ms (1.2% of total)
Bogosity

explain74.0ms (1.3%)

Memory
4.6MiB live, 81.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
30-0-(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
00-0-(+.f64 (exp.f64 a) (exp.f64 b))
00-0-a
00-0-(exp.f64 b)
00-0-b
00-0-(exp.f64 a)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))u/u20
↳(exp.f64 a)underflow70
↳(+.f64 (exp.f64 a) (exp.f64 b))underflow2
↳(exp.f64 a)underflow70
↳(exp.f64 b)underflow49
/.f64(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))o/o10
↳(exp.f64 a)overflow1
↳(+.f64 (exp.f64 a) (exp.f64 b))overflow73
↳(exp.f64 a)overflow1
↳(exp.f64 b)overflow72
Confusion
Predicted +Predicted -
+30
-0253
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+300
-00253
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0253
13
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
33.0ms512×0valid
Compiler

Compiled 50 to 22 computations (56% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-exp: 13.0ms (69.5% of total)
ival-div: 3.0ms (16% of total)
ival-add: 2.0ms (10.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess92.0ms (1.7%)

Memory
1.7MiB live, 38.7MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01648
14048
27548
314448
426143
546543
666343
792343
8127543
9151643
10169242
11187542
12197742
13212342
14220742
15223942
16224942
17225142
18225142
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
0.7MiB live, 0.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.8%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 8 to 6 computations (25% saved)

simplify2.0ms (0%)

Memory
2.7MiB live, 2.7MiB 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

localize18.0ms (0.3%)

Memory
24.9MiB live, 24.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(exp.f64 b)
accuracy0.0
(exp.f64 a)
accuracy0.015625
(+.f64 (exp.f64 a) (exp.f64 b))
accuracy0.7460978760724644
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Samples
13.0ms256×0valid
Compiler

Compiled 21 to 8 computations (61.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-exp: 4.0ms (58.5% of total)
ival-div: 2.0ms (29.2% of total)
ival-add: 1.0ms (14.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series15.0ms (0.3%)

Memory
-31.6MiB live, 8.3MiB 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
7.0ms
a
@-inf
((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp b))
4.0ms
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
b
@-inf
((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp b))

simplify165.0ms (3%)

Memory
38.6MiB live, 194.5MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0120516
1332501
2973484
33759453
08455416
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)

rewrite188.0ms (3.4%)

Memory
-29.2MiB live, 176.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0617
01017
13217
220317
3194717
0868117
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)

eval40.0ms (0.7%)

Memory
15.2MiB live, 52.8MiB allocated
Compiler

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

prune7.0ms (0.1%)

Memory
-19.1MiB live, 18.1MiB allocated
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New3583361
Fresh000
Picked101
Done000
Total3593362
Accuracy
99.7%
Counts
362 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.8%
(/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (+.f64 (exp.f64 a) (exp.f64 b)))
▶65.5%
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
▶79.9%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
Compiler

Compiled 39 to 31 computations (20.5% saved)

simplify15.0ms (0.3%)

Memory
15.9MiB live, 15.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 a)
cost-diff0
(exp.f64 (neg.f64 a))
cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (+.f64 (exp.f64 a) (exp.f64 b)))
cost-diff3
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
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: 1 (0.0ms)

IterNodesCost
02093
03189
14487
26087
310487
417087
523687
626887
731687
837387
944687
1047387
1147587
047587
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)
(/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
#s(literal 1 binary64)
(exp.f64 (neg.f64 a))
(neg.f64 a)
a
(+.f64 (exp.f64 a) (exp.f64 b))
(exp.f64 a)
(exp.f64 b)
b
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)
(/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
(exp.f64 a)
#s(literal 1 binary64)
(exp.f64 (neg.f64 a))
(neg.f64 a)
a
(+.f64 (exp.f64 a) (exp.f64 b))
(exp.f64 a)
(exp.f64 b)
b

localize42.0ms (0.8%)

Memory
-21.3MiB live, 61.8MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(exp.f64 a)
accuracy0.0078125
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
accuracy0.015625
(+.f64 (exp.f64 a) (exp.f64 b))
accuracy0.7460978760724644
(/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (+.f64 (exp.f64 a) (exp.f64 b)))
accuracy0.0
(exp.f64 a)
accuracy0.0078125
(+.f64 (exp.f64 a) #s(literal 1 binary64))
accuracy0.7460978760724644
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
accuracy27.948256160902577
#s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
accuracy0.0
(exp.f64 b)
accuracy0.01171875
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
accuracy0.01171875
(+.f64 (exp.f64 b) #s(literal 1 binary64))
accuracy12.895893370540684
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
Samples
30.0ms256×0valid
Compiler

Compiled 78 to 16 computations (79.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-div: 6.0ms (37.7% of total)
ival-exp: 5.0ms (31.5% of total)
ival-add: 3.0ms (18.9% of total)
ival-neg: 1.0ms (6.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series13.0ms (0.2%)

Memory
20.9MiB live, 20.9MiB allocated
Counts
13 → 54
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))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
(/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (+.f64 (exp.f64 a) (exp.f64 b)))
(exp.f64 (neg.f64 a))
(neg.f64 a)
(+.f64 (exp.f64 a) (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)))))))
2
(+ 2 a)
(+ 2 (* a (+ 1 (* 1/2 a))))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(+ (* a (- (+ (* a (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (* a (- (* 1/6 (/ 1 (+ 1 (exp b)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (+ 1 (exp b))) (/ (* (- (* 1/2 (+ 1 (exp b))) 1/2) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ 1 (* -1 a))
(+ 1 (* a (- (* 1/2 a) 1)))
(+ 1 (* a (- (* a (+ 1/2 (* -1/6 a))) 1)))
(* -1 a)
(/ (exp a) (+ (exp a) (exp b)))
(exp a)
(+ (exp a) (exp b))
(+ 1 (exp a))
(/ 1 (exp (neg a)))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(exp (neg a))
(/ 1 (exp (* -1 a)))
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))
(exp (* -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))))
1/2
(+ 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)))))))
(/ 1 (* (exp (neg a)) (+ 1 (exp a))))
(+ (* -1 (/ b (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
(+ (* b (- (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
(+ (* b (- (* b (- (+ (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (+ (* 1/6 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 4)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3)))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
(exp b)
Calls

6 calls:

TimeVariablePointExpression
3.0ms
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 (exp (neg a))) (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (exp (neg a)) (neg a) (+ (exp a) (exp b)))
2.0ms
a
@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) (/ 1 (exp (neg a))) (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (exp (neg a)) (neg a) (+ (exp a) (exp b)))
2.0ms
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) (/ 1 (exp (neg a))) (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (exp (neg a)) (neg a) (+ (exp a) (exp b)))
2.0ms
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) (/ 1 (exp (neg a))) (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (exp (neg a)) (neg a) (+ (exp a) (exp b)))
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 (exp (neg a))) (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (exp (neg a)) (neg a) (+ (exp a) (exp b)))

simplify168.0ms (3%)

Memory
-5.5MiB live, 180.5MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02201064
16011014
21730982
37095979
08274914
Stop Event
1×iter limit
1×node limit
Counts
54 → 54
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))))))
(+ (* a (- (+ (* a (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (* a (- (* 1/6 (/ 1 (+ 1 (exp b)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (+ 1 (exp b))) (/ (* (- (* 1/2 (+ 1 (exp b))) 1/2) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ 1 (* -1 a))
(+ 1 (* a (- (* 1/2 a) 1)))
(+ 1 (* a (- (* a (+ 1/2 (* -1/6 a))) 1)))
(* -1 a)
(/ (exp a) (+ (exp a) (exp b)))
(exp a)
(+ (exp a) (exp b))
(+ 1 (exp a))
(/ 1 (exp (neg a)))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(exp (neg a))
(/ 1 (exp (* -1 a)))
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))
(exp (* -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))))
1/2
(+ 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)))))))
(/ 1 (* (exp (neg a)) (+ 1 (exp a))))
(+ (* -1 (/ b (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
(+ (* b (- (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
(+ (* b (- (* b (- (+ (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (+ (* 1/6 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 4)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3)))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
(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 (/.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))
(+ (* a (- (+ (* a (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (fma.f64 (neg.f64 (exp.f64 b)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))) 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 (pow (+ 1 (exp b)) 2))) (* a (- (* 1/6 (/ 1 (+ 1 (exp b)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (+ 1 (exp b))) (/ (* (- (* 1/2 (+ 1 (exp b))) 1/2) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (fma.f64 (/.f64 (neg.f64 (exp.f64 b)) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (fma.f64 (neg.f64 (exp.f64 b)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 b) #s(literal 0 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (/.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))))) a (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (fma.f64 (neg.f64 (exp.f64 b)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))) 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 (* -1 a))
(-.f64 #s(literal 1 binary64) a)
(+ 1 (* a (- (* 1/2 a) 1)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 1 binary64))
(+ 1 (* a (- (* a (+ 1/2 (* -1/6 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 1 binary64))
(* -1 a)
(neg.f64 a)
(/ (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 (exp (neg a)))
(exp.f64 a)
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(exp (neg a))
(exp.f64 (neg.f64 a))
(/ 1 (exp (* -1 a)))
(exp.f64 a)
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(exp (* -1 a))
(exp.f64 (neg.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))))
(fma.f64 (/.f64 (neg.f64 b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (exp.f64 a) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(fma.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) b (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) b (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (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))))))) b (/.f64 (neg.f64 (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) b (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
1/2
#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)))
(/ 1 (* (exp (neg a)) (+ 1 (exp a))))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ (* -1 (/ b (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
(fma.f64 (/.f64 (neg.f64 b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (exp.f64 a) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (* b (- (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
(fma.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) b (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) b (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (* b (- (* b (- (+ (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (+ (* 1/6 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 4)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3)))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
(fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (exp.f64 a) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 4 binary64))))) 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)))))) b) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) b (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(exp b)
(exp.f64 b)

rewrite154.0ms (2.8%)

Memory
13.9MiB live, 202.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02082
03178
110676
259976
3544876
0841574
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
13 → 631
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))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
(/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (+.f64 (exp.f64 a) (exp.f64 b)))
(exp.f64 (neg.f64 a))
(neg.f64 a)
(+.f64 (exp.f64 a) (exp.f64 b))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b)))))
(*.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 (pow.f64 (neg.f64 (expm1.f64 (*.f64 b #s(literal 2 binary64)))) #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)) (neg.f64 (fma.f64 (exp.f64 b) (expm1.f64 b) #s(literal 1 binary64))))
(*.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 (/.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 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 b #s(literal 2 binary64)))) (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 (*.f64 #s(literal 1 binary64) (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 (pow.f64 (expm1.f64 (*.f64 b #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (expm1.f64 b) #s(literal 1 binary64)))
(*.f64 (pow.f64 (expm1.f64 (*.f64 b #s(literal 2 binary64))) #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 (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 b #s(literal 2 binary64))) #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)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (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 b #s(literal 2 binary64))) #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 b #s(literal 2 binary64))) (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)) (+.f64 (pow.f64 (neg.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) (-.f64 (pow.f64 (exp.f64 b) #s(literal 4 binary64)) (pow.f64 (neg.f64 (expm1.f64 b)) #s(literal 2 binary64)))) (*.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (expm1.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 b))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (neg.f64 (expm1.f64 b)) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 6 binary64)))) (*.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 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 b #s(literal 2 binary64))) (fma.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 b #s(literal 2 binary64)))) (*.f64 (expm1.f64 (*.f64 b #s(literal 2 binary64))) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
(/.f64 (pow.f64 (expm1.f64 (*.f64 b #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (expm1.f64 b) #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 (-.f64 (pow.f64 (exp.f64 b) #s(literal 4 binary64)) (pow.f64 (neg.f64 (expm1.f64 b)) #s(literal 2 binary64))) (*.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (expm1.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 b))))
(/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) b)) (*.f64 (expm1.f64 (*.f64 b #s(literal 2 binary64))) (fma.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 (neg.f64 (expm1.f64 b)) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 6 binary64))) (*.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 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 (neg.f64 (fma.f64 (exp.f64 b) (expm1.f64 b) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b #s(literal 2 binary64))))
(/.f64 (expm1.f64 (*.f64 b #s(literal 2 binary64))) (*.f64 (expm1.f64 (*.f64 b #s(literal 2 binary64))) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
(/.f64 (fma.f64 (exp.f64 b) (expm1.f64 b) #s(literal 1 binary64)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (expm1.f64 b)) (neg.f64 (expm1.f64 (*.f64 b #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 b)))
(/.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
(neg.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 b)) #s(literal -1 binary64)))
(fma.f64 (pow.f64 (expm1.f64 (*.f64 b #s(literal 2 binary64))) #s(literal -1 binary64)) (exp.f64 b) (*.f64 (pow.f64 (expm1.f64 (*.f64 b #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(fma.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (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 (exp.f64 b) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (*.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (expm1.f64 b))))
(fma.f64 (neg.f64 (expm1.f64 b)) (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 2 binary64)) (pow.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (expm1.f64 b)) (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) (pow.f64 (expm1.f64 (*.f64 b #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 (expm1.f64 (*.f64 b #s(literal 2 binary64))) #s(literal -1 binary64))))
(-.f64 (/.f64 (exp.f64 b) (expm1.f64 (*.f64 b #s(literal 2 binary64)))) (pow.f64 (expm1.f64 (*.f64 b #s(literal 2 binary64))) #s(literal -1 binary64)))
(-.f64 (/.f64 (fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (exp.f64 b) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 b)) #s(literal -1 binary64)))
(exp.f64 (fma.f64 (log1p.f64 (exp.f64 b)) #s(literal -1/2 binary64) (*.f64 (log1p.f64 (exp.f64 b)) #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(+.f64 (*.f64 (exp.f64 b) (pow.f64 (expm1.f64 (*.f64 b #s(literal 2 binary64))) #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 (expm1.f64 (*.f64 b #s(literal 2 binary64))) #s(literal -1 binary64))))
(+.f64 (*.f64 (neg.f64 (expm1.f64 b)) (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 2 binary64)) (pow.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(+.f64 (*.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (neg.f64 (expm1.f64 b)) (pow.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(+.f64 (*.f64 (pow.f64 (expm1.f64 (*.f64 b #s(literal 2 binary64))) #s(literal -1 binary64)) (exp.f64 b)) (*.f64 (pow.f64 (expm1.f64 (*.f64 b #s(literal 2 binary64))) #s(literal -1 binary64)) #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)) (neg.f64 (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 (exp.f64 b) #s(literal 2 binary64))))
(+.f64 (*.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))) (*.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (expm1.f64 b))))
(*.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)))) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
(*.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)))) (fma.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b) #s(literal 1 binary64)))
(*.f64 (/.f64 (expm1.f64 (*.f64 b #s(literal 2 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 (+.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)))) (+.f64 (expm1.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 b)))
(*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (neg.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 (expm1.f64 (*.f64 b #s(literal 2 binary64))) (expm1.f64 (*.f64 b #s(literal 2 binary64)))) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 b) #s(literal 2 binary64))) (pow.f64 (neg.f64 (expm1.f64 b)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (exp.f64 b) (expm1.f64 b) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (expm1.f64 b) #s(literal -1 binary64)) (expm1.f64 (*.f64 b #s(literal 2 binary64))))
(*.f64 (neg.f64 (expm1.f64 (*.f64 b #s(literal 2 binary64)))) (pow.f64 (neg.f64 (expm1.f64 b)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (neg.f64 (fma.f64 (exp.f64 b) (expm1.f64 b) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (expm1.f64 (*.f64 b #s(literal 2 binary64))) (*.f64 (pow.f64 (expm1.f64 b) #s(literal -1 binary64)) #s(literal 1 binary64)))
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(/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 9 binary64)) (pow.f64 (exp.f64 b) #s(literal 9 binary64))) (pow.f64 (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 (+.f64 (pow.f64 (exp.f64 a) #s(literal 6 binary64)) (pow.f64 (exp.f64 b) #s(literal 6 binary64))) (exp.f64 (*.f64 (+.f64 b a) #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64))) (fma.f64 (exp.f64 a) (/.f64 (exp.f64 a) (-.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 (-.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (*.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 (neg.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (neg.f64 (-.f64 (exp.f64 b) (exp.f64 a))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))))) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (neg.f64 (neg.f64 (+.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 (neg.f64 (neg.f64 (+.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 (-.f64 (pow.f64 (exp.f64 a) #s(literal 6 binary64)) (pow.f64 (exp.f64 b) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.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)) (pow.f64 (exp.f64 b) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.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 (+.f64 (pow.f64 (exp.f64 a) #s(literal 9 binary64)) (pow.f64 (exp.f64 b) #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 6 binary64)) (pow.f64 (exp.f64 b) #s(literal 6 binary64))) (exp.f64 (*.f64 (+.f64 b a) #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 (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) #s(literal 1 binary64)) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64)))) #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 (-.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) (pow.f64 (exp.f64 b) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (pow.f64 (exp.f64 b) #s(literal 2 binary64))) (-.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b))) (*.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (pow.f64 (-.f64 (exp.f64 a) (exp.f64 b)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) (pow.f64 (exp.f64 b) #s(literal 4 binary64))) (*.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (fma.f64 (exp.f64 a) (exp.f64 a) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (-.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 6 binary64)) (pow.f64 (exp.f64 b) #s(literal 6 binary64))) (*.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (+.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 (-.f64 (pow.f64 (exp.f64 a) #s(literal 6 binary64)) (pow.f64 (exp.f64 b) #s(literal 6 binary64))) (*.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (-.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 9 binary64)) (pow.f64 (exp.f64 b) #s(literal 9 binary64))) (*.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 a) #s(literal 6 binary64)) (pow.f64 (exp.f64 b) #s(literal 6 binary64))) (exp.f64 (*.f64 (+.f64 b a) #s(literal 3 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #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 (neg.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 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 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))) (neg.f64 (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (+.f64 (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 a) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64))) (*.f64 #s(literal 1 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 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 (neg.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal -1 binary64)))
(neg.f64 (neg.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(fma.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) a)) (pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) a)) (neg.f64 (neg.f64 (exp.f64 b))))
(fma.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) a)) (pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) a)) (exp.f64 b))
(fma.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 #s(literal -1 binary64))) (pow.f64 (exp.f64 #s(literal 1 binary64)) (+.f64 (log.f64 #s(literal -1 binary64)) a)) (neg.f64 (neg.f64 (exp.f64 b))))
(fma.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 #s(literal -1 binary64))) (pow.f64 (exp.f64 #s(literal 1 binary64)) (+.f64 (log.f64 #s(literal -1 binary64)) a)) (exp.f64 b))
(fma.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64)))) (fma.f64 (exp.f64 b) (+.f64 (exp.f64 a) (exp.f64 b)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (neg.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b)))))
(fma.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (+.f64 (exp.f64 a) (exp.f64 b)) (neg.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b)))))
(fma.f64 (sqrt.f64 (exp.f64 a)) (/.f64 (sqrt.f64 (exp.f64 a)) #s(literal 1 binary64)) (neg.f64 (neg.f64 (exp.f64 b))))
(fma.f64 (sqrt.f64 (exp.f64 a)) (/.f64 (sqrt.f64 (exp.f64 a)) #s(literal 1 binary64)) (exp.f64 b))
(fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) (neg.f64 (neg.f64 (exp.f64 b))))
(fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) (exp.f64 b))
(fma.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (-.f64 (exp.f64 a) (exp.f64 b)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b)))))
(fma.f64 (neg.f64 (exp.f64 a)) #s(literal -1 binary64) (neg.f64 (neg.f64 (exp.f64 b))))
(fma.f64 (neg.f64 (exp.f64 a)) #s(literal -1 binary64) (exp.f64 b))
(fma.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 a)) (neg.f64 (neg.f64 (exp.f64 b))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 a)) (exp.f64 b))
(fma.f64 (exp.f64 a) (/.f64 (exp.f64 a) (-.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)))))
(fma.f64 (exp.f64 a) #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 b))))
(fma.f64 (exp.f64 a) #s(literal 1 binary64) (exp.f64 b))
(fma.f64 (exp.f64 b) #s(literal 1 binary64) (exp.f64 a))
(fma.f64 #s(literal 1 binary64) (exp.f64 a) (neg.f64 (neg.f64 (exp.f64 b))))
(fma.f64 #s(literal 1 binary64) (exp.f64 a) (exp.f64 b))
(fma.f64 #s(literal 1 binary64) (exp.f64 b) (exp.f64 a))
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b))) #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) (neg.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(-.f64 (exp.f64 b) (neg.f64 (exp.f64 a)))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #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 a) (neg.f64 (neg.f64 (exp.f64 b))))
(+.f64 (exp.f64 a) (exp.f64 b))
(+.f64 (exp.f64 b) (exp.f64 a))

eval131.0ms (2.4%)

Memory
15.8MiB live, 221.2MiB allocated
Compiler

Compiled 16 191 to 2 377 computations (85.3% saved)

prune21.0ms (0.4%)

Memory
-14.8MiB live, 62.0MiB allocated
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New73311744
Fresh000
Picked123
Done000
Total73413747
Accuracy
100.0%
Counts
747 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓65.5%
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
63.3%
(/.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)))))
63.2%
(/.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)))))
63.0%
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
▶62.6%
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
▶99.2%
(/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (neg.f64 a)) (exp.f64 b) #s(literal 1 binary64)))
✓79.9%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
54.9%
#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)))))
▶49.3%
#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)))))
▶34.7%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
33.6%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
34.6%
#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))))
▶36.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
Compiler

Compiled 460 to 337 computations (26.7% saved)

simplify48.0ms (0.9%)

Memory
3.3MiB live, 42.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (+ (exp a) 1) #s(literal 2 binary64))
cost-diff0
#s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))
cost-diff0
(exp.f64 a)
cost-diff0
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
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
(+.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
(neg.f64 a)
cost-diff0
(exp.f64 (neg.f64 a))
cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (neg.f64 a)) (exp.f64 b) #s(literal 1 binary64)))
cost-diff1
(fma.f64 (exp.f64 (neg.f64 a)) (exp.f64 b) #s(literal 1 binary64))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
032196
048196
166196
286194
3122194
4172194
5256194
6361194
7712194
8857194
9931194
10989194
111012194
121022194
131037194
141043194
151055194
161073194
171107194
181121194
01121194
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (neg.f64 a)) (exp.f64 b) #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 (exp.f64 (neg.f64 a)) (exp.f64 b) #s(literal 1 binary64))
(exp.f64 (neg.f64 a))
(neg.f64 a)
a
(exp.f64 b)
b
#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 #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)
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
(exp.f64 a)
a
#s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))
#s(approx (+ (exp a) 1) #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
(/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (neg.f64 a)) (exp.f64 b) #s(literal 1 binary64)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
#s(literal 1 binary64)
(fma.f64 (exp.f64 (neg.f64 a)) (exp.f64 b) #s(literal 1 binary64))
(+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64))
(exp.f64 (neg.f64 a))
(neg.f64 a)
a
(exp.f64 b)
b
#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))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (-.f64 b #s(literal -2 binary64)))))
(/.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 b #s(literal -2 binary64))))
#s(literal 1 binary64)
#s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))
#s(approx (+ (exp b) 1) (-.f64 b #s(literal -2 binary64)))
(+.f64 #s(literal 2 binary64) b)
(-.f64 b #s(literal -2 binary64))
#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 #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)
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
(exp.f64 a)
a
#s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))
#s(approx (+ (exp a) 1) #s(literal 2 binary64))
#s(literal 2 binary64)

localize56.0ms (1%)

Memory
15.4MiB live, 97.6MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(exp.f64 a)
accuracy0.7460978760724644
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
accuracy16.547519254725707
#s(approx (+ (exp a) 1) #s(literal 2 binary64))
accuracy27.948256160902577
#s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))
accuracy0.00390625
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))
accuracy0.01171875
(/.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))))
accuracy12.895893370540684
#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)))))
accuracy19.759117433975813
#s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
accuracy0.0
(+.f64 #s(literal 2 binary64) b)
accuracy0.01171875
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b)))
accuracy12.895893370540684
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
accuracy29.369984141853728
#s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))
accuracy12.895893370540684
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
accuracy28.050563181845703
#s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))
accuracy0.0
(exp.f64 (neg.f64 a))
accuracy0.0
(exp.f64 b)
accuracy0.02734375
(/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (neg.f64 a)) (exp.f64 b) #s(literal 1 binary64)))
accuracy0.45312775105082526
(fma.f64 (exp.f64 (neg.f64 a)) (exp.f64 b) #s(literal 1 binary64))
Samples
41.0ms256×0valid
Compiler

Compiled 126 to 24 computations (81% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-add: 9.0ms (35.2% of total)
ival-exp: 5.0ms (19.6% of total)
ival-div: 4.0ms (15.6% of total)
ival-mult: 4.0ms (15.6% of total)
ival-neg: 1.0ms (3.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series13.0ms (0.2%)

Memory
-16.8MiB live, 22.3MiB allocated
Counts
19 → 67
Calls
Call 1
Inputs
(fma.f64 (exp.f64 (neg.f64 a)) (exp.f64 b) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (neg.f64 a)) (exp.f64 b) #s(literal 1 binary64)))
(exp.f64 (neg.f64 a))
(neg.f64 a)
#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 #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))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
(exp.f64 a)
#s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))
#s(approx (+ (exp a) 1) #s(literal 2 binary64))
(exp.f64 b)
Outputs
(+ 1 (exp b))
(+ 1 (+ (exp b) (* -1 (* a (exp b)))))
(+ 1 (+ (exp b) (* a (+ (* -1 (exp b)) (* 1/2 (* a (exp b)))))))
(+ 1 (+ (exp b) (* a (+ (* -1 (exp b)) (* a (+ (* -1/6 (* a (exp b))) (* 1/2 (exp b))))))))
(/ 1 (+ 1 (exp b)))
(+ (/ 1 (+ 1 (exp b))) (/ (* a (exp b)) (pow (+ 1 (exp b)) 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 3))) (* 1/2 (/ (exp b) (pow (+ 1 (exp b)) 2)))))) (* -1 (/ (exp b) (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/6 (/ (exp b) (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 3))) (/ (* (exp b) (+ (* -1 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 3))) (* 1/2 (/ (exp b) (pow (+ 1 (exp b)) 2))))) (+ 1 (exp b))))))) (+ (* -1 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 3))) (* 1/2 (/ (exp b) (pow (+ 1 (exp b)) 2)))))) (* -1 (/ (exp b) (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))
1
(+ 1 (* -1 a))
(+ 1 (* a (- (* 1/2 a) 1)))
(+ 1 (* a (- (* a (+ 1/2 (* -1/6 a))) 1)))
(* -1 a)
(+ (* 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 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(+ 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 (* (exp b) (exp (neg a))))
(/ 1 (+ 1 (* (exp b) (exp (neg a)))))
(exp (neg a))
(/ (exp a) (+ (exp a) (exp b)))
(exp a)
(+ (exp a) (exp b))
(+ 1 (exp a))
(+ 1 (* (exp b) (exp (* -1 a))))
(/ 1 (+ 1 (* (exp b) (exp (* -1 a)))))
(exp (* -1 a))
(+ 1 (exp (neg a)))
(+ 1 (+ (exp (neg a)) (* b (exp (neg a)))))
(+ 1 (+ (exp (neg a)) (* b (+ (exp (neg a)) (* 1/2 (* b (exp (neg a))))))))
(+ 1 (+ (exp (neg a)) (* b (+ (exp (neg a)) (* b (+ (* 1/6 (* b (exp (neg a)))) (* 1/2 (exp (neg a)))))))))
(/ 1 (+ 1 (exp (neg a))))
(+ (* -1 (/ (* b (exp (neg a))) (pow (+ 1 (exp (neg a))) 2))) (/ 1 (+ 1 (exp (neg a)))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 3))) (* 1/2 (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2)))))) (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2)))) (/ 1 (+ 1 (exp (neg a)))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (* (exp (neg a)) (+ (* -1 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 3))) (* 1/2 (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2))))) (+ 1 (exp (neg a))))) (+ (* -1/2 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 3))) (* 1/6 (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2))))))) (+ (* -1 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 3))) (* 1/2 (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2)))))) (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2)))) (/ 1 (+ 1 (exp (neg 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 (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))))))
b
(* b (+ 1 (* 2 (/ 1 b))))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(exp b)
Calls

6 calls:

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

simplify138.0ms (2.5%)

Memory
-4.7MiB live, 190.4MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02681191
17841142
224451085
379721085
080041008
Stop Event
1×iter limit
1×node limit
Counts
67 → 66
Calls
Call 1
Inputs
(+ 1 (exp b))
(+ 1 (+ (exp b) (* -1 (* a (exp b)))))
(+ 1 (+ (exp b) (* a (+ (* -1 (exp b)) (* 1/2 (* a (exp b)))))))
(+ 1 (+ (exp b) (* a (+ (* -1 (exp b)) (* a (+ (* -1/6 (* a (exp b))) (* 1/2 (exp b))))))))
(/ 1 (+ 1 (exp b)))
(+ (/ 1 (+ 1 (exp b))) (/ (* a (exp b)) (pow (+ 1 (exp b)) 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 3))) (* 1/2 (/ (exp b) (pow (+ 1 (exp b)) 2)))))) (* -1 (/ (exp b) (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/6 (/ (exp b) (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 3))) (/ (* (exp b) (+ (* -1 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 3))) (* 1/2 (/ (exp b) (pow (+ 1 (exp b)) 2))))) (+ 1 (exp b))))))) (+ (* -1 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 3))) (* 1/2 (/ (exp b) (pow (+ 1 (exp b)) 2)))))) (* -1 (/ (exp b) (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))
1
(+ 1 (* -1 a))
(+ 1 (* a (- (* 1/2 a) 1)))
(+ 1 (* a (- (* a (+ 1/2 (* -1/6 a))) 1)))
(* -1 a)
(+ (* 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 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(+ 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 (* (exp b) (exp (neg a))))
(/ 1 (+ 1 (* (exp b) (exp (neg a)))))
(exp (neg a))
(/ (exp a) (+ (exp a) (exp b)))
(exp a)
(+ (exp a) (exp b))
(+ 1 (exp a))
(+ 1 (* (exp b) (exp (* -1 a))))
(/ 1 (+ 1 (* (exp b) (exp (* -1 a)))))
(exp (* -1 a))
(+ 1 (exp (neg a)))
(+ 1 (+ (exp (neg a)) (* b (exp (neg a)))))
(+ 1 (+ (exp (neg a)) (* b (+ (exp (neg a)) (* 1/2 (* b (exp (neg a))))))))
(+ 1 (+ (exp (neg a)) (* b (+ (exp (neg a)) (* b (+ (* 1/6 (* b (exp (neg a)))) (* 1/2 (exp (neg a)))))))))
(/ 1 (+ 1 (exp (neg a))))
(+ (* -1 (/ (* b (exp (neg a))) (pow (+ 1 (exp (neg a))) 2))) (/ 1 (+ 1 (exp (neg a)))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 3))) (* 1/2 (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2)))))) (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2)))) (/ 1 (+ 1 (exp (neg a)))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (* (exp (neg a)) (+ (* -1 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 3))) (* 1/2 (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2))))) (+ 1 (exp (neg a))))) (+ (* -1/2 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 3))) (* 1/6 (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2))))))) (+ (* -1 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 3))) (* 1/2 (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2)))))) (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2)))) (/ 1 (+ 1 (exp (neg 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 (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))))))
b
(* b (+ 1 (* 2 (/ 1 b))))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(exp b)
Outputs
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (+ (exp b) (* -1 (* a (exp b)))))
(fma.f64 (-.f64 #s(literal 1 binary64) a) (exp.f64 b) #s(literal 1 binary64))
(+ 1 (+ (exp b) (* a (+ (* -1 (exp b)) (* 1/2 (* a (exp b)))))))
(fma.f64 (*.f64 (exp.f64 b) a) (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ 1 (+ (exp b) (* a (+ (* -1 (exp b)) (* a (+ (* -1/6 (* a (exp b))) (* 1/2 (exp b))))))))
(fma.f64 (*.f64 a a) (*.f64 (fma.f64 #s(literal -1/6 binary64) a #s(literal 1/2 binary64)) (exp.f64 b)) (fma.f64 (-.f64 #s(literal 1 binary64) a) (exp.f64 b) #s(literal 1 binary64)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ (/ 1 (+ 1 (exp b))) (/ (* a (exp b)) (pow (+ 1 (exp b)) 2)))
(fma.f64 (/.f64 a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (exp.f64 b) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 3))) (* 1/2 (/ (exp b) (pow (+ 1 (exp b)) 2)))))) (* -1 (/ (exp b) (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))
(fma.f64 (fma.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) a (neg.f64 (*.f64 (/.f64 (exp.f64 b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64))))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/6 (/ (exp b) (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 3))) (/ (* (exp b) (+ (* -1 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 3))) (* 1/2 (/ (exp b) (pow (+ 1 (exp b)) 2))))) (+ 1 (exp b))))))) (+ (* -1 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 3))) (* 1/2 (/ (exp b) (pow (+ 1 (exp b)) 2)))))) (* -1 (/ (exp b) (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))
(fma.f64 (fma.f64 (*.f64 (neg.f64 a) (fma.f64 (/.f64 (exp.f64 b) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (fma.f64 (/.f64 (exp.f64 b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 b) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (*.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))))) a (fma.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) a (neg.f64 (*.f64 (/.f64 (exp.f64 b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)))))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
1
#s(literal 1 binary64)
(+ 1 (* -1 a))
(-.f64 #s(literal 1 binary64) a)
(+ 1 (* a (- (* 1/2 a) 1)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 1 binary64))
(+ 1 (* a (- (* a (+ 1/2 (* -1/6 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 1 binary64))
(* -1 a)
(neg.f64 a)
(+ (* 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 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 (+ 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 (* (exp b) (exp (neg a))))
(+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64))
(/ 1 (+ 1 (* (exp b) (exp (neg a)))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)))
(exp (neg a))
(exp.f64 (neg.f64 a))
(/ (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 (* (exp b) (exp (* -1 a))))
(+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64))
(/ 1 (+ 1 (* (exp b) (exp (* -1 a)))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)))
(exp (* -1 a))
(exp.f64 (neg.f64 a))
(+ 1 (exp (neg a)))
(+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))
(+ 1 (+ (exp (neg a)) (* b (exp (neg a)))))
(fma.f64 (+.f64 #s(literal 1 binary64) b) (exp.f64 (neg.f64 a)) #s(literal 1 binary64))
(+ 1 (+ (exp (neg a)) (* b (+ (exp (neg a)) (* 1/2 (* b (exp (neg a))))))))
(fma.f64 (exp.f64 (neg.f64 a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (+ (exp (neg a)) (* b (+ (exp (neg a)) (* b (+ (* 1/6 (* b (exp (neg a)))) (* 1/2 (exp (neg a)))))))))
(fma.f64 (*.f64 (exp.f64 (neg.f64 a)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))) b (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))
(/ 1 (+ 1 (exp (neg a))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))
(+ (* -1 (/ (* b (exp (neg a))) (pow (+ 1 (exp (neg a))) 2))) (/ 1 (+ 1 (exp (neg a)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))) (/.f64 (/.f64 b (exp.f64 a)) (pow.f64 (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 3))) (* 1/2 (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2)))))) (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2)))) (/ 1 (+ 1 (exp (neg a)))))
(fma.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 (exp.f64 (neg.f64 a)) (pow.f64 (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 (neg.f64 a)) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))))) b (/.f64 (exp.f64 (neg.f64 a)) (pow.f64 (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) #s(literal 2 binary64))))) b (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (* (exp (neg a)) (+ (* -1 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 3))) (* 1/2 (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2))))) (+ 1 (exp (neg a))))) (+ (* -1/2 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 3))) (* 1/6 (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2))))))) (+ (* -1 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 3))) (* 1/2 (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2)))))) (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2)))) (/ 1 (+ 1 (exp (neg a)))))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (exp.f64 a) #s(literal -2 binary64)) (pow.f64 (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1/6 binary64) (exp.f64 a)) (pow.f64 (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 (/.f64 (*.f64 (/.f64 (exp.f64 (neg.f64 a)) (pow.f64 (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 (neg.f64 a)) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))))) (exp.f64 a)) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))) b (*.f64 (/.f64 (exp.f64 (neg.f64 a)) (pow.f64 (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 (neg.f64 a)) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))))))) b (/.f64 (/.f64 #s(literal -1 binary64) (exp.f64 a)) (pow.f64 (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) #s(literal 2 binary64)))) b (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 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 (exp.f64 a)) (/.f64 b (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(fma.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) b (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) b (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (fma.f64 #s(literal -1 binary64) (exp.f64 a) #s(literal -1 binary64)))) b (*.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 (neg.f64 (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) b (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
1/2
#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 (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))
b
(* b (+ 1 (* 2 (/ 1 b))))
(+.f64 #s(literal 2 binary64) b)
(* 1/2 (pow b 2))
(*.f64 (*.f64 #s(literal 1/2 binary64) b) b)
(* (pow b 2) (+ 1/2 (/ 1 b)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(*.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) b) b) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b)
(exp b)
(exp.f64 b)

rewrite163.0ms (2.9%)

Memory
20.4MiB live, 229.5MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
032179
048179
1179179
21130177
08514177
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
19 → 342
Calls
Call 1
Inputs
(fma.f64 (exp.f64 (neg.f64 a)) (exp.f64 b) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (neg.f64 a)) (exp.f64 b) #s(literal 1 binary64)))
(exp.f64 (neg.f64 a))
(neg.f64 a)
#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 #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))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
(exp.f64 a)
#s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))
#s(approx (+ (exp a) 1) #s(literal 2 binary64))
(exp.f64 b)
Outputs
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))))
(*.f64 (neg.f64 (expm1.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 (-.f64 b a)))))
(*.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 (-.f64 b a) #s(literal 3 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)))))))
(*.f64 (expm1.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))) (pow.f64 (expm1.f64 (-.f64 b a)) #s(literal -1 binary64)))
(*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 b a) #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a))))))
(*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 b a) #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (-.f64 b a))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (-.f64 b a))))
(*.f64 (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)) (/.f64 (expm1.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a))))
(*.f64 (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)))
(pow.f64 (pow.f64 (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))) (expm1.f64 (-.f64 b a))) (/.f64 (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))) (expm1.f64 (-.f64 b a)))) (*.f64 (pow.f64 (expm1.f64 (-.f64 b a)) #s(literal -1 binary64)) (pow.f64 (expm1.f64 (-.f64 b a)) #s(literal -1 binary64)))) (+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))) (expm1.f64 (-.f64 b a))) (pow.f64 (expm1.f64 (-.f64 b a)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))) (expm1.f64 (-.f64 b a))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (expm1.f64 (-.f64 b a)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))) (expm1.f64 (-.f64 b a))) (/.f64 (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))) (expm1.f64 (-.f64 b a))) (fma.f64 (pow.f64 (expm1.f64 (-.f64 b a)) #s(literal -1 binary64)) (pow.f64 (expm1.f64 (-.f64 b a)) #s(literal -1 binary64)) (*.f64 (/.f64 (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))) (expm1.f64 (-.f64 b a))) (pow.f64 (expm1.f64 (-.f64 b a)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (expm1.f64 (-.f64 b a)))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))))) (expm1.f64 (-.f64 b a)))
(/.f64 (neg.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 (-.f64 b a) #s(literal 3 binary64))) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 (-.f64 b a) #s(literal 3 binary64))) #s(literal 1 binary64)))) (+.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 (-.f64 b a)) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))) #s(literal 1 binary64)) (expm1.f64 (-.f64 b a))))
(/.f64 (*.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 b a)) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 b a)) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))))) (expm1.f64 (-.f64 b a))))
(/.f64 (*.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 b a)) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (expm1.f64 (*.f64 (-.f64 b a) #s(literal 3 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 b a)) #s(literal 9 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 b a)) #s(literal 6 binary64)) #s(literal 1 binary64)) (exp.f64 (*.f64 (-.f64 b a) #s(literal 3 binary64)))) (+.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))) (expm1.f64 (-.f64 b a))) (*.f64 (expm1.f64 (-.f64 b a)) #s(literal 1 binary64))) (*.f64 (expm1.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)))) (neg.f64 (expm1.f64 (-.f64 b a))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 (-.f64 b a) #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a))))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 (-.f64 b a) #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))))))
(/.f64 (expm1.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))) (neg.f64 (neg.f64 (expm1.f64 (-.f64 b a)))))
(/.f64 (expm1.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))) (expm1.f64 (-.f64 b a)))
(/.f64 (+.f64 (exp.f64 (*.f64 (-.f64 b a) #s(literal 3 binary64))) #s(literal 1 binary64)) (neg.f64 (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 (-.f64 b a) #s(literal 3 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a)))))
(/.f64 (+.f64 (exp.f64 (*.f64 (-.f64 b a) #s(literal 3 binary64))) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (-.f64 b a))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (-.f64 b a))) #s(literal -1 binary64)))
(/.f64 (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a)))) (+.f64 (exp.f64 (*.f64 (-.f64 b a) #s(literal 3 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(neg.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (-.f64 b a))))
(fma.f64 (/.f64 (exp.f64 b) #s(literal 1 binary64)) (exp.f64 (neg.f64 a)) #s(literal 1 binary64))
(fma.f64 (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))) (pow.f64 (expm1.f64 (-.f64 b a)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (expm1.f64 (-.f64 b a)) #s(literal -1 binary64))))
(fma.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (exp.f64 b) (exp.f64 (neg.f64 a)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)) #s(literal 1 binary64))
(fma.f64 (exp.f64 (neg.f64 a)) (/.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (exp.f64 (neg.f64 a)) (exp.f64 b) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) (/.f64 (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))))
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))) (expm1.f64 (-.f64 b a))) #s(literal 1 binary64)) (/.f64 (pow.f64 (expm1.f64 (-.f64 b a)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))) (expm1.f64 (-.f64 b a))) (pow.f64 (expm1.f64 (-.f64 b a)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (-.f64 b a))))
(exp.f64 (neg.f64 (*.f64 (log1p.f64 (exp.f64 (-.f64 b a))) #s(literal -1 binary64))))
(+.f64 (neg.f64 (neg.f64 (exp.f64 (-.f64 b a)))) #s(literal 1 binary64))
(+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))) (expm1.f64 (-.f64 b a))) (neg.f64 (pow.f64 (expm1.f64 (-.f64 b a)) #s(literal -1 binary64))))
(+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 (-.f64 b a)))))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (pow.f64 (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (expm1.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (expm1.f64 (-.f64 b a)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (expm1.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))) #s(literal -1 binary64)) (expm1.f64 (-.f64 b a)))
(*.f64 (pow.f64 (+.f64 (exp.f64 (*.f64 (-.f64 b a) #s(literal 3 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 (exp.f64 (*.f64 (-.f64 b a) #s(literal 3 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (expm1.f64 (-.f64 b a)) (pow.f64 (expm1.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)))) (pow.f64 (+.f64 (exp.f64 (*.f64 (-.f64 b a) #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 (-.f64 b a))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(pow.f64 (exp.f64 (log1p.f64 (exp.f64 (-.f64 b a)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)) (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 b a) #s(literal 3 binary64)))) (*.f64 (expm1.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))) (fma.f64 (exp.f64 (-.f64 b a)) (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)))) (*.f64 (expm1.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))) (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (exp.f64 (-.f64 b a)) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) #s(literal 2 binary64)))) (*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 b a) #s(literal 3 binary64))) #s(literal 1 binary64)) (+.f64 (expm1.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))) (exp.f64 (-.f64 b a)))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 (-.f64 b a)) #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) #s(literal 3 binary64)))) (*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 b a) #s(literal 3 binary64))) #s(literal 1 binary64)) (+.f64 (pow.f64 (exp.f64 (-.f64 b a)) #s(literal 4 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) (-.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (expm1.f64 (-.f64 b a))) (neg.f64 (expm1.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))))) (neg.f64 (+.f64 (exp.f64 (*.f64 (-.f64 b a) #s(literal 3 binary64))) #s(literal 1 binary64))))
(/.f64 (expm1.f64 (-.f64 b a)) (expm1.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))))
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 (-.f64 b a) #s(literal 3 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (-.f64 b a))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)))
(neg.f64 (*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (-.f64 b a))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(neg.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (-.f64 b a))) #s(literal -1 binary64)))
(fma.f64 (pow.f64 (expm1.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))) #s(literal -1 binary64)) (exp.f64 (-.f64 b a)) (*.f64 (pow.f64 (expm1.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(fma.f64 (pow.f64 (+.f64 (exp.f64 (*.f64 (-.f64 b a) #s(literal 3 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) (*.f64 (pow.f64 (+.f64 (exp.f64 (*.f64 (-.f64 b a) #s(literal 3 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (+.f64 (exp.f64 (*.f64 (-.f64 b a) #s(literal 3 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))) (*.f64 (pow.f64 (+.f64 (exp.f64 (*.f64 (-.f64 b a) #s(literal 3 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))))
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(fma.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 2 binary64) b))) (*.f64 (*.f64 b b) #s(literal 1/2 binary64)))
(fma.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 b (-.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))) (*.f64 (*.f64 b b) #s(literal 1/2 binary64)))
(fma.f64 (-.f64 #s(literal 4 binary64) (*.f64 b b)) (pow.f64 (-.f64 #s(literal 2 binary64) b) #s(literal -1 binary64)) (*.f64 (*.f64 b b) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 b b) #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) b))
(fma.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 b b) #s(literal 1/2 binary64)))
(fma.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 8 binary64)) (pow.f64 (fma.f64 b (-.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 b b) #s(literal 1/2 binary64)))
(fma.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 2 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal -2 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 4 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal -2 binary64)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) b) b (+.f64 #s(literal 2 binary64) b))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) b) (*.f64 (*.f64 b b) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1 binary64) b (fma.f64 (*.f64 b b) #s(literal 1/2 binary64) #s(literal 2 binary64)))
(fma.f64 b (*.f64 #s(literal 1/2 binary64) b) (+.f64 #s(literal 2 binary64) b))
(fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 b #s(literal 1 binary64) (fma.f64 (*.f64 b b) #s(literal 1/2 binary64) #s(literal 2 binary64)))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b))) (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 2 binary64)) (-.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b))))
(-.f64 (/.f64 (pow.f64 (*.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))) (/.f64 #s(literal 4 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal -2 binary64))))
(+.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))) b)
(+.f64 (*.f64 (*.f64 b b) #s(literal 1/2 binary64)) (+.f64 #s(literal 2 binary64) b))
(+.f64 (/.f64 (pow.f64 (*.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))) (neg.f64 (/.f64 #s(literal 4 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal -2 binary64)))))
(+.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 2 binary64))
(+.f64 (+.f64 #s(literal 2 binary64) b) (*.f64 (*.f64 b b) #s(literal 1/2 binary64)))
(+.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b))
(+.f64 b (fma.f64 (*.f64 b b) #s(literal 1/2 binary64) #s(literal 2 binary64)))
(*.f64 (*.f64 (pow.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) (exp.f64 a))
(*.f64 (pow.f64 (/.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))) (exp.f64 a)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))) (exp.f64 a)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))) #s(literal -1 binary64)) (exp.f64 a))
(*.f64 (neg.f64 (exp.f64 a)) (/.f64 #s(literal -1 binary64) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (exp.f64 a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))))
(*.f64 (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (exp.f64 a) (pow.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))))
(pow.f64 (/.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))) (exp.f64 a)) #s(literal -1 binary64))
(/.f64 (neg.f64 (exp.f64 a)) (neg.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))) (neg.f64 (exp.f64 a))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))) (exp.f64 a)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))) (exp.f64 a))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (exp.f64 a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))))
(neg.f64 (/.f64 (neg.f64 (exp.f64 a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))) (/.f64 (neg.f64 (exp.f64 a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (exp.f64 a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))) (exp.f64 a))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 a)))
(*.f64 (exp.f64 a) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 a))
(/.f64 (neg.f64 (exp.f64 a)) #s(literal -1 binary64))
(/.f64 (exp.f64 a) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
(neg.f64 (neg.f64 (exp.f64 a)))
(-.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 a)))
(exp.f64 a)
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))))
(*.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
#s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))
(/.f64 (neg.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) #s(literal -1 binary64))
(/.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))) #s(literal -1 binary64)))
(neg.f64 (neg.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))))
#s(approx (+ (exp a) 1) #s(literal 2 binary64))
(*.f64 (exp.f64 b) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 b))
(exp.f64 b)

eval47.0ms (0.8%)

Memory
-15.5MiB live, 100.5MiB allocated
Compiler

Compiled 10 115 to 1 556 computations (84.6% saved)

prune16.0ms (0.3%)

Memory
-0.2MiB live, 42.1MiB allocated
Pruning

17 alts after pruning (11 fresh and 6 done)

PrunedKeptTotal
New3956401
Fresh156
Picked145
Done022
Total39717414
Accuracy
100.0%
Counts
414 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓65.5%
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
63.2%
(/.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)))))
63.0%
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
✓62.6%
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
36.3%
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
36.3%
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
▶65.8%
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (exp (neg a)) (exp b)) 1) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))))
✓79.9%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
▶54.9%
#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)))))
✓49.3%
#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)))))
✓34.7%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
43.1%
#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 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) b) b) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b)))))
▶18.0%
#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 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)))))
18.3%
#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 #s(literal 1/2 binary64) b) b)))))
▶33.6%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
▶34.6%
#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))))
✓36.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
Compiler

Compiled 638 to 459 computations (28.1% saved)

simplify151.0ms (2.7%)

Memory
-5.1MiB live, 73.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))
cost-diff0
#s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))
cost-diff0
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
cost-diff0
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b))
cost-diff0
#s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (fma.f64 #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 (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (fma.f64 #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 (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)))))
cost-diff0
(fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64))
cost-diff0
(fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))
cost-diff0
#s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))
cost-diff0
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
cost-diff0
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
cost-diff0
#s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
cost-diff0
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
cost-diff0
(exp.f64 (neg.f64 a))
cost-diff0
(+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))
cost-diff0
#s(approx (+ (* (exp (neg a)) (exp b)) 1) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (exp (neg a)) (exp b)) 1) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047328
068326
199326
2140324
3241324
4406324
5624324
6974324
72298324
82853324
93061324
103229324
113292324
123325324
133341324
143347324
153359324
163377324
173411324
183425324
03425320
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (exp (neg a)) (exp b)) 1) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))))
#s(literal 1 binary64)
#s(approx (+ (* (exp (neg a)) (exp b)) 1) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))
(+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))
(exp.f64 (neg.f64 a))
(neg.f64 a)
a
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
#s(literal -1/4 binary64)
b
#s(literal 1/2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))
(fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64))
(*.f64 b b)
b
#s(literal 1/48 binary64)
#s(literal -1/4 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b))))
#s(literal 1 binary64)
#s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b))
(*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
#s(literal 1/2 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)
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (exp (neg a)) (exp b)) 1) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))))
#s(literal 1 binary64)
#s(approx (+ (* (exp (neg a)) (exp b)) 1) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))
(+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))
(exp.f64 (neg.f64 a))
(neg.f64 a)
a
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
#s(literal -1/4 binary64)
b
#s(literal 1/2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))
#s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))
(fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))
(fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64))
(fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64))
(*.f64 b b)
b
#s(literal 1/48 binary64)
#s(literal -1/4 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b))))
#s(literal 1 binary64)
#s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b))
(*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
#s(literal 1/2 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)

localize94.0ms (1.7%)

Memory
16.4MiB live, 173.6MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.06640625
(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))
accuracy0.16015625
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
accuracy12.895893370540684
#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)))))
accuracy16.422831131001587
#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)))
accuracy0.015625
(*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)
accuracy12.895893370540684
#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 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)))))
accuracy19.759117433975813
#s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)))
accuracy32.81261588472371
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b))
accuracy0.0625
(fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))
accuracy0.08984375
(fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64))
accuracy12.895893370540684
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
accuracy29.832802274826044
#s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))
accuracy0.0
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
accuracy12.895893370540684
#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))))
accuracy29.20571546765721
#s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
accuracy0.0
(exp.f64 (neg.f64 a))
accuracy0.0078125
(+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))
accuracy0.02734375
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (exp (neg a)) (exp b)) 1) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))))
accuracy21.85112024992691
#s(approx (+ (* (exp (neg a)) (exp b)) 1) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))
Samples
73.0ms256×0valid
Compiler

Compiled 185 to 39 computations (78.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-mult: 15.0ms (32.6% of total)
ival-add: 13.0ms (28.3% of total)
const: 7.0ms (15.2% of total)
ival-exp: 5.0ms (10.9% of total)
ival-div: 4.0ms (8.7% of total)
exact: 1.0ms (2.2% of total)
ival-neg: 1.0ms (2.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series16.0ms (0.3%)

Memory
-11.9MiB live, 26.8MiB allocated
Counts
21 → 72
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (exp (neg a)) (exp b)) 1) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))))
#s(approx (+ (* (exp (neg a)) (exp b)) 1) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))
(+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))
(exp.f64 (neg.f64 a))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))
(fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64))
#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 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b))))
#s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (fma.f64 #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(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 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
Outputs
(/ 1 (+ 1 (exp b)))
(+ (/ 1 (+ 1 (exp b))) (/ (* a (exp b)) (pow (+ 1 (exp b)) 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 3))) (* 1/2 (/ (exp b) (pow (+ 1 (exp b)) 2)))))) (* -1 (/ (exp b) (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/6 (/ (exp b) (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 3))) (/ (* (exp b) (+ (* -1 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 3))) (* 1/2 (/ (exp b) (pow (+ 1 (exp b)) 2))))) (+ 1 (exp b))))))) (+ (* -1 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 3))) (* 1/2 (/ (exp b) (pow (+ 1 (exp b)) 2)))))) (* -1 (/ (exp b) (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))
(+ 1 (exp b))
(+ 1 (+ (exp b) (* -1 (* a (exp b)))))
(+ 1 (+ (exp b) (* a (+ (* -1 (exp b)) (* 1/2 (* a (exp b)))))))
(+ 1 (+ (exp b) (* a (+ (* -1 (exp b)) (* a (+ (* -1/6 (* a (exp b))) (* 1/2 (exp b))))))))
2
(+ 2 (* -1 a))
(+ 2 (* a (- (* 1/2 a) 1)))
(+ 2 (* a (- (* a (+ 1/2 (* -1/6 a))) 1)))
1
(+ 1 (* -1 a))
(+ 1 (* a (- (* 1/2 a) 1)))
(+ 1 (* a (- (* a (+ 1/2 (* -1/6 a))) 1)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(/ 1 (+ 1 (* (exp b) (exp (neg a)))))
(+ 1 (* (exp b) (exp (neg a))))
(+ 1 (exp (neg a)))
(exp (neg a))
(/ (exp a) (+ (exp a) (exp b)))
(/ 1 (+ 1 (* (exp b) (exp (* -1 a)))))
(+ 1 (* (exp b) (exp (* -1 a))))
(+ 1 (exp (* -1 a)))
(exp (* -1 a))
(/ 1 (+ 1 (exp (neg a))))
(+ (* -1 (/ (* b (exp (neg a))) (pow (+ 1 (exp (neg a))) 2))) (/ 1 (+ 1 (exp (neg a)))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 3))) (* 1/2 (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2)))))) (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2)))) (/ 1 (+ 1 (exp (neg a)))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (* (exp (neg a)) (+ (* -1 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 3))) (* 1/2 (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2))))) (+ 1 (exp (neg a))))) (+ (* -1/2 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 3))) (* 1/6 (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2))))))) (+ (* -1 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 3))) (* 1/2 (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2)))))) (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2)))) (/ 1 (+ 1 (exp (neg a)))))
(+ 1 (+ (exp (neg a)) (* b (exp (neg a)))))
(+ 1 (+ (exp (neg a)) (* b (+ (exp (neg a)) (* 1/2 (* b (exp (neg a))))))))
(+ 1 (+ (exp (neg a)) (* b (+ (exp (neg a)) (* b (+ (* 1/6 (* b (exp (neg a)))) (* 1/2 (exp (neg 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)))
-1/4
(- (* 1/48 (pow b 2)) 1/4)
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
b
(* b (+ 1 (* 1/2 b)))
(+ 1/2 (* 1/6 b))
(* -1/4 b)
(* b (- (* 1/2 (/ 1 b)) 1/4))
(* 1/48 (pow b 3))
(* (pow b 3) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))
(* (pow b 3) (- (+ 1/48 (/ 1/2 (pow b 3))) (* 1/4 (/ 1 (pow b 2)))))
(* 1/48 (pow b 2))
(* (pow b 2) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))
(* 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)))))))
(* 1/6 b)
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))
(* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) 1/48)))
(* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) (+ 1/48 (/ 1/2 (pow b 3))))))
(* -1 (* (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
8.0ms
b
@inf
((/ 1 (+ (* (exp (neg a)) (exp b)) 1)) (+ (* (exp (neg a)) (exp b)) 1) (+ (exp (neg a)) 1) (exp (neg a)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (* -1/4 b) 1/2) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (+ (* (* b b) 1/48) -1/4) (/ (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) (* (+ (* 1/2 b) 1) b) (+ (* 1/6 b) 1/2))
3.0ms
b
@-inf
((/ 1 (+ (* (exp (neg a)) (exp b)) 1)) (+ (* (exp (neg a)) (exp b)) 1) (+ (exp (neg a)) 1) (exp (neg a)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (* -1/4 b) 1/2) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (+ (* (* b b) 1/48) -1/4) (/ (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) (* (+ (* 1/2 b) 1) b) (+ (* 1/6 b) 1/2))
1.0ms
b
@0
((/ 1 (+ (* (exp (neg a)) (exp b)) 1)) (+ (* (exp (neg a)) (exp b)) 1) (+ (exp (neg a)) 1) (exp (neg a)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (* -1/4 b) 1/2) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (+ (* (* b b) 1/48) -1/4) (/ (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) (* (+ (* 1/2 b) 1) b) (+ (* 1/6 b) 1/2))
1.0ms
a
@inf
((/ 1 (+ (* (exp (neg a)) (exp b)) 1)) (+ (* (exp (neg a)) (exp b)) 1) (+ (exp (neg a)) 1) (exp (neg a)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (* -1/4 b) 1/2) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (+ (* (* b b) 1/48) -1/4) (/ (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) (* (+ (* 1/2 b) 1) b) (+ (* 1/6 b) 1/2))
1.0ms
a
@-inf
((/ 1 (+ (* (exp (neg a)) (exp b)) 1)) (+ (* (exp (neg a)) (exp b)) 1) (+ (exp (neg a)) 1) (exp (neg a)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (* -1/4 b) 1/2) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (+ (* (* b b) 1/48) -1/4) (/ (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) (* (+ (* 1/2 b) 1) b) (+ (* 1/6 b) 1/2))

simplify156.0ms (2.8%)

Memory
29.8MiB live, 228.4MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02871266
18511216
227791158
087331093
Stop Event
1×iter limit
1×node limit
Counts
72 → 71
Calls
Call 1
Inputs
(/ 1 (+ 1 (exp b)))
(+ (/ 1 (+ 1 (exp b))) (/ (* a (exp b)) (pow (+ 1 (exp b)) 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 3))) (* 1/2 (/ (exp b) (pow (+ 1 (exp b)) 2)))))) (* -1 (/ (exp b) (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/6 (/ (exp b) (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 3))) (/ (* (exp b) (+ (* -1 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 3))) (* 1/2 (/ (exp b) (pow (+ 1 (exp b)) 2))))) (+ 1 (exp b))))))) (+ (* -1 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 3))) (* 1/2 (/ (exp b) (pow (+ 1 (exp b)) 2)))))) (* -1 (/ (exp b) (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))
(+ 1 (exp b))
(+ 1 (+ (exp b) (* -1 (* a (exp b)))))
(+ 1 (+ (exp b) (* a (+ (* -1 (exp b)) (* 1/2 (* a (exp b)))))))
(+ 1 (+ (exp b) (* a (+ (* -1 (exp b)) (* a (+ (* -1/6 (* a (exp b))) (* 1/2 (exp b))))))))
2
(+ 2 (* -1 a))
(+ 2 (* a (- (* 1/2 a) 1)))
(+ 2 (* a (- (* a (+ 1/2 (* -1/6 a))) 1)))
1
(+ 1 (* -1 a))
(+ 1 (* a (- (* 1/2 a) 1)))
(+ 1 (* a (- (* a (+ 1/2 (* -1/6 a))) 1)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(/ 1 (+ 1 (* (exp b) (exp (neg a)))))
(+ 1 (* (exp b) (exp (neg a))))
(+ 1 (exp (neg a)))
(exp (neg a))
(/ (exp a) (+ (exp a) (exp b)))
(/ 1 (+ 1 (* (exp b) (exp (* -1 a)))))
(+ 1 (* (exp b) (exp (* -1 a))))
(+ 1 (exp (* -1 a)))
(exp (* -1 a))
(/ 1 (+ 1 (exp (neg a))))
(+ (* -1 (/ (* b (exp (neg a))) (pow (+ 1 (exp (neg a))) 2))) (/ 1 (+ 1 (exp (neg a)))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 3))) (* 1/2 (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2)))))) (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2)))) (/ 1 (+ 1 (exp (neg a)))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (* (exp (neg a)) (+ (* -1 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 3))) (* 1/2 (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2))))) (+ 1 (exp (neg a))))) (+ (* -1/2 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 3))) (* 1/6 (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2))))))) (+ (* -1 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 3))) (* 1/2 (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2)))))) (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2)))) (/ 1 (+ 1 (exp (neg a)))))
(+ 1 (+ (exp (neg a)) (* b (exp (neg a)))))
(+ 1 (+ (exp (neg a)) (* b (+ (exp (neg a)) (* 1/2 (* b (exp (neg a))))))))
(+ 1 (+ (exp (neg a)) (* b (+ (exp (neg a)) (* b (+ (* 1/6 (* b (exp (neg a)))) (* 1/2 (exp (neg 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)))
-1/4
(- (* 1/48 (pow b 2)) 1/4)
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
b
(* b (+ 1 (* 1/2 b)))
(+ 1/2 (* 1/6 b))
(* -1/4 b)
(* b (- (* 1/2 (/ 1 b)) 1/4))
(* 1/48 (pow b 3))
(* (pow b 3) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))
(* (pow b 3) (- (+ 1/48 (/ 1/2 (pow b 3))) (* 1/4 (/ 1 (pow b 2)))))
(* 1/48 (pow b 2))
(* (pow b 2) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))
(* 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)))))))
(* 1/6 b)
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))
(* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) 1/48)))
(* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) (+ 1/48 (/ 1/2 (pow b 3))))))
(* -1 (* (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)))
(+ (/ 1 (+ 1 (exp b))) (/ (* a (exp b)) (pow (+ 1 (exp b)) 2)))
(fma.f64 (exp.f64 b) (/.f64 a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 3))) (* 1/2 (/ (exp b) (pow (+ 1 (exp b)) 2)))))) (* -1 (/ (exp b) (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))
(fma.f64 (fma.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) a (neg.f64 (*.f64 (/.f64 (exp.f64 b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64))))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/6 (/ (exp b) (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 3))) (/ (* (exp b) (+ (* -1 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 3))) (* 1/2 (/ (exp b) (pow (+ 1 (exp b)) 2))))) (+ 1 (exp b))))))) (+ (* -1 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 3))) (* 1/2 (/ (exp b) (pow (+ 1 (exp b)) 2)))))) (* -1 (/ (exp b) (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))
(fma.f64 (fma.f64 (*.f64 (neg.f64 a) (fma.f64 (/.f64 (exp.f64 b) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (fma.f64 (/.f64 (exp.f64 b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 b) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (/.f64 (*.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))))) a (fma.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) a (neg.f64 (*.f64 (/.f64 (exp.f64 b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)))))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (+ (exp b) (* -1 (* a (exp b)))))
(fma.f64 (-.f64 #s(literal 1 binary64) a) (exp.f64 b) #s(literal 1 binary64))
(+ 1 (+ (exp b) (* a (+ (* -1 (exp b)) (* 1/2 (* a (exp b)))))))
(fma.f64 (*.f64 (exp.f64 b) a) (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ 1 (+ (exp b) (* a (+ (* -1 (exp b)) (* a (+ (* -1/6 (* a (exp b))) (* 1/2 (exp b))))))))
(fma.f64 (*.f64 a a) (*.f64 (exp.f64 b) (fma.f64 #s(literal -1/6 binary64) a #s(literal 1/2 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) a) (exp.f64 b) #s(literal 1 binary64)))
2
#s(literal 2 binary64)
(+ 2 (* -1 a))
(-.f64 #s(literal 2 binary64) a)
(+ 2 (* a (- (* 1/2 a) 1)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 2 binary64))
(+ 2 (* a (- (* a (+ 1/2 (* -1/6 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))
1
#s(literal 1 binary64)
(+ 1 (* -1 a))
(-.f64 #s(literal 1 binary64) a)
(+ 1 (* a (- (* 1/2 a) 1)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 1 binary64))
(+ 1 (* a (- (* a (+ 1/2 (* -1/6 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 1 binary64))
(+ (* 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 (+ 1 (* (exp b) (exp (neg a)))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)))
(+ 1 (* (exp b) (exp (neg a))))
(+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64))
(+ 1 (exp (neg a)))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
(exp (neg a))
(exp.f64 (neg.f64 a))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ 1 (+ 1 (* (exp b) (exp (* -1 a)))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)))
(+ 1 (* (exp b) (exp (* -1 a))))
(+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64))
(+ 1 (exp (* -1 a)))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
(exp (* -1 a))
(exp.f64 (neg.f64 a))
(/ 1 (+ 1 (exp (neg a))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
(+ (* -1 (/ (* b (exp (neg a))) (pow (+ 1 (exp (neg a))) 2))) (/ 1 (+ 1 (exp (neg a)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) (/.f64 (/.f64 b (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #s(literal 2 binary64))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 3))) (* 1/2 (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2)))))) (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2)))) (/ 1 (+ 1 (exp (neg a)))))
(fma.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 (exp.f64 (neg.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 (neg.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))) b (/.f64 (exp.f64 (neg.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #s(literal 2 binary64))))) b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (* (exp (neg a)) (+ (* -1 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 3))) (* 1/2 (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2))))) (+ 1 (exp (neg a))))) (+ (* -1/2 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 3))) (* 1/6 (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2))))))) (+ (* -1 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 3))) (* 1/2 (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2)))))) (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2)))) (/ 1 (+ 1 (exp (neg a)))))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (exp.f64 a) #s(literal -2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1/6 binary64) (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #s(literal 2 binary64)))) (/.f64 (/.f64 (*.f64 (/.f64 (exp.f64 (neg.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 (neg.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) b (*.f64 (/.f64 (exp.f64 (neg.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 (neg.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))))) b (/.f64 (/.f64 #s(literal -1 binary64) (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #s(literal 2 binary64)))) b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
(+ 1 (+ (exp (neg a)) (* b (exp (neg a)))))
(fma.f64 (+.f64 #s(literal 1 binary64) b) (exp.f64 (neg.f64 a)) #s(literal 1 binary64))
(+ 1 (+ (exp (neg a)) (* b (+ (exp (neg a)) (* 1/2 (* b (exp (neg a))))))))
(+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (/.f64 b (exp.f64 a)) #s(literal 1 binary64)) (exp.f64 (neg.f64 a)))
(+ 1 (+ (exp (neg a)) (* b (+ (exp (neg a)) (* b (+ (* 1/6 (* b (exp (neg a)))) (* 1/2 (exp (neg a)))))))))
(fma.f64 (*.f64 (exp.f64 (neg.f64 a)) (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 (neg.f64 a))))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(fma.f64 (neg.f64 (exp.f64 a)) (/.f64 b (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(fma.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) b (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 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 (fma.f64 (neg.f64 (fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (*.f64 (fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (/.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) (fma.f64 #s(literal -1 binary64) (exp.f64 a) #s(literal -1 binary64)))) b))) b (/.f64 (neg.f64 (exp.f64 a)) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)))) b (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 b))
(fma.f64 #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))
-1/4
#s(literal -1/4 binary64)
(- (* 1/48 (pow b 2)) 1/4)
(fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64))
(+ 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))
b
(* b (+ 1 (* 1/2 b)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)
(+ 1/2 (* 1/6 b))
(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))
(* 1/48 (pow b 3))
(*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64))
(* (pow b 3) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))
(*.f64 (-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 3 binary64)))
(* (pow b 3) (- (+ 1/48 (/ 1/2 (pow b 3))) (* 1/4 (/ 1 (pow b 2)))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 3 binary64))) #s(literal 1/48 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 3 binary64)))
(* 1/48 (pow b 2))
(*.f64 (*.f64 b b) #s(literal 1/48 binary64))
(* (pow b 2) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))
(*.f64 (*.f64 (-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 b b))) b) b)
(* 1/2 (pow b 2))
(*.f64 (*.f64 b b) #s(literal 1/2 binary64))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(*.f64 b (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))) b #s(literal 1 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 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (*.f64 b b))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 #s(literal 1 binary64) b) b)) b #s(literal 1/2 binary64)))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (* 2 (/ 1 (pow b 3)))))))
(*.f64 (*.f64 b b) (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 b #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) b) b)) b #s(literal 1/2 binary64)))
(* 1/6 b)
(*.f64 #s(literal 1/6 binary64) b)
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
(* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))
(neg.f64 (fma.f64 #s(literal 1/4 binary64) b #s(literal -1/2 binary64)))
(* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) 1/48)))
(*.f64 (-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 3 binary64)))
(* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) (+ 1/48 (/ 1/2 (pow b 3))))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 3 binary64))) #s(literal 1/48 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 3 binary64)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))
(*.f64 (neg.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1/2 binary64)) b))) (pow.f64 b #s(literal 3 binary64)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))) b)) 1/6)))
(*.f64 (neg.f64 (pow.f64 b #s(literal 3 binary64))) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) b) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 b b)))) b) #s(literal 1/6 binary64)))

rewrite144.0ms (2.6%)

Memory
-21.8MiB live, 211.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047295
068293
1267293
21814291
08362287
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
21 → 295
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (exp (neg a)) (exp b)) 1) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))))
#s(approx (+ (* (exp (neg a)) (exp b)) 1) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))
(+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))
(exp.f64 (neg.f64 a))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))
(fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64))
#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 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b))))
#s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (fma.f64 #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(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 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
Outputs
(*.f64 (pow.f64 #s(approx (+ (* (exp (neg a)) (exp b)) 1) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))) #s(literal -1/2 binary64)) (pow.f64 #s(approx (+ (* (exp (neg a)) (exp b)) 1) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (+ (* (exp (neg a)) (exp b)) 1) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))))
(*.f64 (pow.f64 #s(approx (+ (* (exp (neg a)) (exp b)) 1) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 #s(approx (+ (* (exp (neg a)) (exp b)) 1) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))) #s(literal -1 binary64)))
(pow.f64 (exp.f64 (log.f64 #s(approx (+ (* (exp (neg a)) (exp b)) 1) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))))) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(approx (+ (* (exp (neg a)) (exp b)) 1) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))) #s(approx (+ (* (exp (neg a)) (exp b)) 1) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 #s(approx (+ (* (exp (neg a)) (exp b)) 1) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 #s(approx (+ (* (exp (neg a)) (exp b)) 1) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))))) #s(literal -1 binary64))
(pow.f64 #s(approx (+ (* (exp (neg a)) (exp b)) 1) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 #s(approx (+ (* (exp (neg a)) (exp b)) 1) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 #s(approx (+ (* (exp (neg a)) (exp b)) 1) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 #s(approx (+ (* (exp (neg a)) (exp b)) 1) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (exp (neg a)) (exp b)) 1) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* (exp (neg a)) (exp b)) 1) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 #s(approx (+ (* (exp (neg a)) (exp b)) 1) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(*.f64 #s(approx (+ (* (exp (neg a)) (exp b)) 1) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (pow.f64 #s(approx (+ (* (exp (neg a)) (exp b)) 1) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 #s(approx (+ (* (exp (neg a)) (exp b)) 1) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (+ (* (exp (neg a)) (exp b)) 1) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (neg.f64 #s(approx (+ (* (exp (neg a)) (exp b)) 1) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 (neg.f64 #s(approx (+ (* (exp (neg a)) (exp b)) 1) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 #s(approx (+ (* (exp (neg a)) (exp b)) 1) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))) #s(literal -1 binary64))))
(/.f64 #s(approx (+ (* (exp (neg a)) (exp b)) 1) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (+ (* (exp (neg a)) (exp b)) 1) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(approx (+ (* (exp (neg a)) (exp b)) 1) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 #s(approx (+ (* (exp (neg a)) (exp b)) 1) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))) #s(literal -1 binary64))))
(*.f64 (expm1.f64 (-.f64 (neg.f64 a) a)) (pow.f64 (expm1.f64 (neg.f64 a)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal -3 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 a))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (expm1.f64 (neg.f64 a)) (expm1.f64 (-.f64 (neg.f64 a) a))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 a))) (+.f64 (pow.f64 (exp.f64 a) #s(literal -3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (-.f64 (neg.f64 a) a)))) (neg.f64 (neg.f64 (expm1.f64 (neg.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 (-.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 a))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal -2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 a)) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal -2 binary64)) #s(literal 1 binary64)) (expm1.f64 (neg.f64 a))))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 a)) #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 a)) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal -2 binary64)))) (expm1.f64 (neg.f64 a))))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 a)) #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (expm1.f64 (*.f64 (neg.f64 a) #s(literal 3 binary64))) (-.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 a)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 a)) #s(literal 9 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 a)) #s(literal 6 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal -3 binary64)))) (-.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 a)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 a) #s(literal -2 binary64)) (expm1.f64 (neg.f64 a))) (*.f64 (expm1.f64 (neg.f64 a)) #s(literal 1 binary64))) (*.f64 (expm1.f64 (neg.f64 a)) (expm1.f64 (neg.f64 a))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal -2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
(/.f64 (neg.f64 (expm1.f64 (-.f64 (neg.f64 a) a))) (neg.f64 (expm1.f64 (neg.f64 a))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal -3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (neg.f64 a)) (exp.f64 a)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal -3 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 a)))))
(/.f64 (expm1.f64 (-.f64 (neg.f64 a) a)) (expm1.f64 (neg.f64 a)))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal -3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (neg.f64 a)) (exp.f64 a))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal -3 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 a))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (expm1.f64 (neg.f64 a)) (expm1.f64 (-.f64 (neg.f64 a) a)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 a))) (+.f64 (pow.f64 (exp.f64 a) #s(literal -3 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (neg.f64 a)) (expm1.f64 (-.f64 (neg.f64 a) a))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 a))) (+.f64 (pow.f64 (exp.f64 a) #s(literal -3 binary64)) #s(literal 1 binary64))))
(fma.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64) #s(literal 1 binary64))
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(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) #s(literal -1 binary64)) b)) (neg.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) b)) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))
(/.f64 (neg.f64 (*.f64 b (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) #s(literal -1 binary64)))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 b (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) #s(literal -1 binary64)) b) (fma.f64 #s(literal 1/2 binary64) b #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) b) (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))
(/.f64 (*.f64 b (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) #s(literal -1 binary64))) (fma.f64 #s(literal 1/2 binary64) b #s(literal -1 binary64)))
(/.f64 (*.f64 b (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) b) b (*.f64 #s(literal 1 binary64) b))
(fma.f64 b (*.f64 #s(literal 1/2 binary64) b) (*.f64 b #s(literal 1 binary64)))
(fma.f64 b #s(literal 1 binary64) (*.f64 b (*.f64 #s(literal 1/2 binary64) b)))
(fma.f64 #s(literal 1 binary64) b (*.f64 (*.f64 #s(literal 1/2 binary64) b) b))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) b) b) (*.f64 #s(literal 1 binary64) b))
(+.f64 (*.f64 #s(literal 1 binary64) b) (*.f64 (*.f64 #s(literal 1/2 binary64) b) b))
(+.f64 (*.f64 b (*.f64 #s(literal 1/2 binary64) b)) (*.f64 b #s(literal 1 binary64)))
(+.f64 (*.f64 b #s(literal 1 binary64)) (*.f64 b (*.f64 #s(literal 1/2 binary64) b)))
(*.f64 (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)))
(*.f64 (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)))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) (-.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))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 b b)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #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 (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 #s(literal 1/36 binary64) (*.f64 b b) (-.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/12 binary64)))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 4 binary64)) #s(literal 1/16 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 (*.f64 (-.f64 (*.f64 #s(literal 1/46656 binary64) (pow.f64 b #s(literal 6 binary64))) #s(literal 1/64 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 4 binary64)) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.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 (*.f64 (-.f64 (*.f64 #s(literal 1/46656 binary64) (pow.f64 b #s(literal 6 binary64))) #s(literal 1/64 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) (-.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/12 binary64))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 9 binary64)) #s(literal 1/512 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/46656 binary64) (pow.f64 b #s(literal 6 binary64)) (-.f64 #s(literal 1/64 binary64) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/1728 binary64)))) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) (-.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/12 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 b b)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 b b))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64))) (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 #s(literal 1/36 binary64) (*.f64 b b)) (*.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 #s(literal 1/36 binary64) (*.f64 b b) (-.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/12 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 #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 #s(literal 1/36 binary64) (*.f64 b b)) (*.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 #s(literal 1/36 binary64) (*.f64 b b) (-.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/12 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) (-.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 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) (-.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 #s(literal 1/36 binary64) (*.f64 b b)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b))))
(-.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 b b)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) (/.f64 #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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b))

eval47.0ms (0.9%)

Memory
17.1MiB live, 98.5MiB allocated
Compiler

Compiled 12 507 to 1 832 computations (85.4% saved)

prune23.0ms (0.4%)

Memory
-24.2MiB live, 54.0MiB allocated
Pruning

26 alts after pruning (15 fresh and 11 done)

PrunedKeptTotal
New34313356
Fresh426
Picked055
Done066
Total34726373
Accuracy
100.0%
Counts
373 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓65.5%
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
63.2%
(/.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)))))
63.0%
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
✓62.6%
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
✓65.8%
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (exp (neg a)) (exp b)) 1) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))))
55.2%
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (exp (neg a)) (exp b)) 1) (+.f64 #s(approx (exp (neg a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 1 binary64))) #s(literal 1 binary64))))
57.8%
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (exp (neg a)) (exp b)) 1) #s(approx (+ (exp (neg 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)))))
55.2%
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (exp (neg a)) (exp b)) 1) #s(approx (+ (exp (neg a)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 2 binary64)))))
37.7%
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (exp (neg a)) (exp b)) 1) #s(approx (+ (exp (neg a)) 1) (-.f64 #s(literal 2 binary64) a))))
✓79.9%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
✓54.9%
#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)))))
54.9%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
39.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 b b)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
54.9%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
54.6%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
✓49.3%
#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)))))
✓34.7%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
23.7%
#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 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (*.f64 b b))))))
✓18.0%
#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 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)))))
18.3%
#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))))))
43.0%
#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 b (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))) b #s(literal 1 binary64)))))))
✓33.6%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
✓34.6%
#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))))
13.6%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64)))))
4.0%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
✓36.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
Compiler

Compiled 1 497 to 689 computations (54% saved)

regimes87.0ms (1.6%)

Memory
-0.1MiB live, 124.3MiB allocated
Counts
34 → 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 (/ 1 (+ (exp b) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 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))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (exp (neg a)) (exp b)) 1) #s(approx (+ (exp (neg 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) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #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 (+ (* (+ (* 1/2 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) (*.f64 (fma.f64 #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 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (exp (neg a)) (exp b)) 1) #s(approx (+ (exp (neg a)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (exp (neg a)) (exp b)) 1) (+.f64 #s(approx (exp (neg a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 1 binary64))) #s(literal 1 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 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (*.f64 b b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (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 (neg a)) (exp b)) 1) #s(approx (+ (exp (neg 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 (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 b (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))) b #s(literal 1 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) (*.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) b) 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)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 b b)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64)))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (exp (neg a)) (exp b)) 1) (+.f64 (exp.f64 (neg.f64 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))))
(/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (neg.f64 a)) (exp.f64 b) #s(literal 1 binary64)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (+.f64 (exp.f64 a) (exp.f64 b)))
Outputs
(/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (neg.f64 a)) (exp.f64 b) #s(literal 1 binary64)))
Calls

5 calls:

53.0ms
a
9.0ms
b
8.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
7.0ms
(exp.f64 b)
7.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
99.2%1a
99.2%1b
99.2%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
99.2%1(exp.f64 a)
99.2%1(exp.f64 b)
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes39.0ms (0.7%)

Memory
1.8MiB live, 80.3MiB allocated
Counts
31 → 3
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 (/ 1 (+ (exp b) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 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))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (exp (neg a)) (exp b)) 1) #s(approx (+ (exp (neg 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) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #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 (+ (* (+ (* 1/2 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) (*.f64 (fma.f64 #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 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (exp (neg a)) (exp b)) 1) #s(approx (+ (exp (neg a)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (exp (neg a)) (exp b)) 1) (+.f64 #s(approx (exp (neg a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 1 binary64))) #s(literal 1 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 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (*.f64 b b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (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 (neg a)) (exp b)) 1) #s(approx (+ (exp (neg 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 (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 b (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))) b #s(literal 1 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) (*.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) b) 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)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 b b)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64)))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (exp (neg a)) (exp b)) 1) (+.f64 (exp.f64 (neg.f64 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))))
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) #s(approx (+ (* (exp (neg a)) (exp b)) 1) (+.f64 (exp.f64 (neg.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:

9.0ms
a
9.0ms
b
7.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
6.0ms
(exp.f64 b)
6.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
97.8%2a
99.4%3b
79.9%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
97.8%2(exp.f64 a)
99.4%3(exp.f64 b)
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes30.0ms (0.5%)

Memory
18.5MiB live, 58.7MiB 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 (/ 1 (+ (exp b) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 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))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (exp (neg a)) (exp b)) 1) #s(approx (+ (exp (neg 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) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #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 (+ (* (+ (* 1/2 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) (*.f64 (fma.f64 #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 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (exp (neg a)) (exp b)) 1) #s(approx (+ (exp (neg a)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (exp (neg a)) (exp b)) 1) (+.f64 #s(approx (exp (neg a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 1 binary64))) #s(literal 1 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 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (*.f64 b b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (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 (neg a)) (exp b)) 1) #s(approx (+ (exp (neg 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 (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 b (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))) b #s(literal 1 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) (*.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) b) 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)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 b b)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64)))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
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

4 calls:

8.0ms
a
8.0ms
b
7.0ms
(exp.f64 a)
6.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
97.3%2a
96.9%2(exp.f64 a)
97.0%3b
97.0%3(exp.f64 b)
Compiler

Compiled 6 to 10 computations (-66.7% saved)

regimes32.0ms (0.6%)

Memory
8.6MiB live, 47.8MiB allocated
Counts
25 → 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 (/ 1 (+ (exp b) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 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))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (exp (neg a)) (exp b)) 1) #s(approx (+ (exp (neg 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) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #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 (+ (* (+ (* 1/2 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) (*.f64 (fma.f64 #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 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (exp (neg a)) (exp b)) 1) #s(approx (+ (exp (neg a)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (exp (neg a)) (exp b)) 1) (+.f64 #s(approx (exp (neg a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 1 binary64))) #s(literal 1 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 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (*.f64 b b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (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 (neg a)) (exp b)) 1) #s(approx (+ (exp (neg 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 (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 b (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))) b #s(literal 1 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) (*.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) b) 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)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 b b)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64)))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
Outputs
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
Calls

5 calls:

7.0ms
a
7.0ms
b
6.0ms
(exp.f64 a)
5.0ms
(exp.f64 b)
5.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Results
AccuracySegmentsBranch
62.6%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
77.1%2b
74.7%2(exp.f64 b)
75.1%2(exp.f64 a)
75.1%2a
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes26.0ms (0.5%)

Memory
1.3MiB live, 40.5MiB 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 (/ 1 (+ (exp b) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 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))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (exp (neg a)) (exp b)) 1) #s(approx (+ (exp (neg 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) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #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 (+ (* (+ (* 1/2 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) (*.f64 (fma.f64 #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 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (exp (neg a)) (exp b)) 1) #s(approx (+ (exp (neg a)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (exp (neg a)) (exp b)) 1) (+.f64 #s(approx (exp (neg a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 1 binary64))) #s(literal 1 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 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (*.f64 b b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (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 (neg a)) (exp b)) 1) #s(approx (+ (exp (neg 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 (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 b (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))) b #s(literal 1 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) (*.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) b) 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)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 b b)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64)))))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (exp (neg a)) (exp b)) 1) #s(approx (+ (exp (neg 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 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
Calls

4 calls:

7.0ms
b
7.0ms
a
5.0ms
(exp.f64 b)
5.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
72.5%2(exp.f64 b)
71.3%2a
70.0%2(exp.f64 a)
74.1%2b
Compiler

Compiled 6 to 10 computations (-66.7% saved)

regimes11.0ms (0.2%)

Memory
-21.7MiB live, 17.3MiB 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 (/ 1 (+ (exp b) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 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))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (exp (neg a)) (exp b)) 1) #s(approx (+ (exp (neg 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) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #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 (+ (* (+ (* 1/2 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) (*.f64 (fma.f64 #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 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (exp (neg a)) (exp b)) 1) #s(approx (+ (exp (neg a)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (exp (neg a)) (exp b)) 1) (+.f64 #s(approx (exp (neg a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 1 binary64))) #s(literal 1 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 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (*.f64 b b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (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(literal 1 binary64) #s(approx (+ (* (exp (neg a)) (exp b)) 1) (+.f64 #s(approx (exp (neg a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 1 binary64))) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
Calls

2 calls:

6.0ms
b
4.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
70.6%2(exp.f64 b)
71.9%2b
Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes6.0ms (0.1%)

Memory
10.2MiB live, 10.2MiB allocated
Counts
15 → 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 (/ 1 (+ (exp b) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 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))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (exp (neg a)) (exp b)) 1) #s(approx (+ (exp (neg 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) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #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 (+ (* (+ (* 1/2 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) (*.f64 (fma.f64 #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 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (exp (neg a)) (exp b)) 1) #s(approx (+ (exp (neg a)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (exp (neg a)) (exp b)) 1) (+.f64 #s(approx (exp (neg a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 1 binary64))) #s(literal 1 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 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (*.f64 b b))))))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (exp (neg a)) (exp b)) 1) (+.f64 #s(approx (exp (neg a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 1 binary64))) #s(literal 1 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 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (*.f64 b b))))))
Calls

1 calls:

5.0ms
b
Results
AccuracySegmentsBranch
71.9%2b
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes18.0ms (0.3%)

Memory
-12.1MiB live, 28.8MiB 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 (/ 1 (+ (exp b) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 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))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (exp (neg a)) (exp b)) 1) #s(approx (+ (exp (neg 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) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #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 (+ (* (+ (* 1/2 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) (*.f64 (fma.f64 #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 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (exp (neg a)) (exp b)) 1) #s(approx (+ (exp (neg a)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (exp (neg a)) (exp b)) 1) (+.f64 #s(approx (exp (neg a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 1 binary64))) #s(literal 1 binary64))))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (exp (neg a)) (exp b)) 1) (+.f64 #s(approx (exp (neg a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 1 binary64))) #s(literal 1 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) (*.f64 (*.f64 #s(literal 1/2 binary64) b) b)))))
Calls

4 calls:

5.0ms
(exp.f64 b)
4.0ms
b
4.0ms
a
3.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
64.3%2(exp.f64 a)
64.7%2(exp.f64 b)
64.8%2a
67.3%2b
Compiler

Compiled 6 to 10 computations (-66.7% saved)

regimes5.0ms (0.1%)

Memory
9.5MiB live, 9.5MiB 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 (/ 1 (+ (exp b) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 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))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (exp (neg a)) (exp b)) 1) #s(approx (+ (exp (neg 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) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #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 (+ (* (+ (* 1/2 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) (*.f64 (fma.f64 #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 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (exp (neg a)) (exp b)) 1) #s(approx (+ (exp (neg a)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (exp (neg a)) (exp b)) 1) #s(approx (+ (exp (neg 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) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) b) b)))))
Calls

1 calls:

4.0ms
b
Results
AccuracySegmentsBranch
67.3%2b
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes17.0ms (0.3%)

Memory
-8.2MiB live, 31.0MiB 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 (/ 1 (+ (exp b) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 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))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (exp (neg a)) (exp b)) 1) #s(approx (+ (exp (neg 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) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #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 (+ (* (+ (* 1/2 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) (*.f64 (fma.f64 #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 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (exp (neg a)) (exp b)) 1) #s(approx (+ (exp (neg 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:

4.0ms
a
4.0ms
b
3.0ms
(exp.f64 a)
3.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
3.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
52.0%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
49.3%1(exp.f64 a)
52.4%2(exp.f64 b)
49.3%1a
52.4%2b
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes7.0ms (0.1%)

Memory
12.9MiB live, 12.9MiB allocated
Counts
10 → 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 (/ 1 (+ (exp b) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 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))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (exp (neg a)) (exp b)) 1) #s(approx (+ (exp (neg 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) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #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 (+ (* (+ (* 1/2 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) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)))))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (exp (neg a)) (exp b)) 1) #s(approx (+ (exp (neg 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 #s(literal 1/2 binary64) b) b)))))
Calls

2 calls:

3.0ms
b
3.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
52.3%2b
52.2%2(exp.f64 b)
Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes12.0ms (0.2%)

Memory
15.7MiB live, 15.7MiB 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 (/ 1 (+ (exp b) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 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))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (exp (neg a)) (exp b)) 1) #s(approx (+ (exp (neg 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) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (exp (neg a)) (exp b)) 1) #s(approx (+ (exp (neg a)) 1) (-.f64 #s(literal 2 binary64) a))))
Calls

5 calls:

3.0ms
b
2.0ms
a
2.0ms
(exp.f64 b)
2.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
2.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
37.7%1a
37.7%1(exp.f64 a)
37.7%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
37.7%1(exp.f64 b)
37.7%1b
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes24.0ms (0.4%)

Memory
-27.9MiB live, 11.2MiB allocated
Accuracy

Total -21.6b remaining (-53.5%)

Threshold costs -21.6b (-53.5%)

Counts
4 → 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 (/ 1 (+ (exp b) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 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))) (/.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:

17.0ms
(exp.f64 b)
2.0ms
b
2.0ms
a
1.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
36.8%1a
36.8%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
36.8%1(exp.f64 a)
36.8%1b
36.8%1(exp.f64 b)
Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.0000000004582057
1.0002321913181689
0.0ms
0.9999646929056951
0.9999742998138283
Compiler

Compiled 11 to 11 computations (0% saved)

bsearch17.0ms (0.3%)

Memory
12.3MiB live, 12.3MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
15.0ms
-6.882492289763361e+25
-44843847.040497825
Samples
8.0ms160×0valid
0.0ms7×0exit
Compiler

Compiled 311 to 261 computations (16.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-exp: 3.0ms (61.8% of total)
ival-div: 1.0ms (20.6% of total)
ival-add: 1.0ms (20.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch8.0ms (0.1%)

Memory
6.0MiB live, 6.0MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
7.0ms
8.054644393487996e+60
1.7961569884596645e+61
Samples
4.0ms80×0valid
Compiler

Compiled 241 to 191 computations (20.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-exp: 1.0ms (48.7% of total)
ival-div: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch16.0ms (0.3%)

Memory
-18.3MiB live, 19.6MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
15.0ms
6.518835602311891e+49
1.4050320062250439e+56
Samples
8.0ms144×0valid
Compiler

Compiled 533 to 407 computations (23.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-exp: 2.0ms (49.7% of total)
ival-div: 1.0ms (24.9% of total)
ival-add: 1.0ms (24.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
2.7MiB live, 2.7MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
6.518835602311891e+49
1.4050320062250439e+56
Compiler

Compiled 506 to 380 computations (24.9% saved)

bsearch2.0ms (0%)

Memory
2.7MiB live, 2.7MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
6.518835602311891e+49
1.4050320062250439e+56
Compiler

Compiled 569 to 425 computations (25.3% saved)

bsearch14.0ms (0.3%)

Memory
17.2MiB live, 17.2MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
13.0ms
1.0626023454314423e+154
3.271317686257385e+161
Samples
7.0ms144×0valid
Compiler

Compiled 506 to 380 computations (24.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-exp: 2.0ms (52.9% 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
2.1MiB live, 2.1MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
1.0626023454314423e+154
3.271317686257385e+161
Compiler

Compiled 506 to 389 computations (23.1% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.0000000004582057
1.0002321913181689
Compiler

Compiled 11 to 11 computations (0% saved)

bsearch14.0ms (0.3%)

Memory
-25.8MiB live, 13.7MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
13.0ms
6.518835602311891e+49
1.4050320062250439e+56
Samples
8.0ms112×0valid
Compiler

Compiled 470 to 362 computations (23% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-exp: 2.0ms (64.6% of total)
ival-div: 1.0ms (32.3% of total)
ival-add: 1.0ms (32.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify64.0ms (1.2%)

Memory
12.3MiB live, 50.3MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0117571
1159571
2192562
3278562
4436562
5695562
61420562
73463562
Stop Event
1×node limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (neg.f64 a)) (exp.f64 b) #s(literal 1 binary64)))
(if (<=.f64 (exp.f64 b) #s(literal 4503464519381675/4503599627370496 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 b) #s(literal 2252250173647985/2251799813685248 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (exp (neg a)) (exp b)) 1) (+.f64 (exp.f64 (neg.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 a #s(literal -45000000 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 17599999999999999680112658310886684481874539973634071839375360 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 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))))
(if (<=.f64 b #s(literal 140000000000000004155168318224704868655258293348692131840 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (exp (neg a)) (exp b)) 1) #s(approx (+ (exp (neg 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 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))))
(if (<=.f64 b #s(literal 140000000000000004155168318224704868655258293348692131840 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (exp (neg a)) (exp b)) 1) (+.f64 #s(approx (exp (neg a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 1 binary64))) #s(literal 1 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))))
(if (<=.f64 b #s(literal 140000000000000004155168318224704868655258293348692131840 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (exp (neg a)) (exp b)) 1) (+.f64 #s(approx (exp (neg a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 1 binary64))) #s(literal 1 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 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (*.f64 b b)))))))
(if (<=.f64 b #s(literal 11499999999999999903898777837578586075525251310197441495021067994303539598477127764116748356477588136349743365114593773456912066480413072039100673924530176 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (exp (neg a)) (exp b)) 1) (+.f64 #s(approx (exp (neg a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 1 binary64))) #s(literal 1 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) (*.f64 (*.f64 #s(literal 1/2 binary64) b) b))))))
(if (<=.f64 b #s(literal 11499999999999999903898777837578586075525251310197441495021067994303539598477127764116748356477588136349743365114593773456912066480413072039100673924530176 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (exp (neg a)) (exp b)) 1) #s(approx (+ (exp (neg 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) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) b) b))))))
(if (<=.f64 (exp.f64 b) #s(literal 2252250173647985/2251799813685248 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (exp (neg a)) (exp b)) 1) #s(approx (+ (exp (neg 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 b #s(literal 239999999999999998373027681846790714350810026066575360 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (exp (neg a)) (exp b)) 1) #s(approx (+ (exp (neg 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 #s(literal 1/2 binary64) b) b))))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (exp (neg a)) (exp b)) 1) #s(approx (+ (exp (neg 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 #s(literal 1 binary64) (fma.f64 (exp.f64 (neg.f64 a)) (exp.f64 b) #s(literal 1 binary64)))
(pow.f64 (fma.f64 (exp.f64 (neg.f64 a)) (exp.f64 b) #s(literal 1 binary64)) #s(literal -1 binary64))
(if (<=.f64 (exp.f64 b) #s(literal 4503464519381675/4503599627370496 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 b) #s(literal 2252250173647985/2251799813685248 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (exp (neg a)) (exp b)) 1) (+.f64 (exp.f64 (neg.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 (or (<=.f64 (exp.f64 b) #s(literal 4503464519381675/4503599627370496 binary64)) (not (<=.f64 (exp.f64 b) #s(literal 2252250173647985/2251799813685248 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1 binary64))) (pow.f64 #s(approx (+ (* (exp (neg a)) (exp b)) 1) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))) #s(literal -1 binary64)))
(if (<=.f64 a #s(literal -45000000 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 -45000000 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))) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1 binary64))))
(if (<=.f64 b #s(literal 17599999999999999680112658310886684481874539973634071839375360 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 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))))
(if (<=.f64 b #s(literal 17599999999999999680112658310886684481874539973634071839375360 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))) (pow.f64 #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64))) #s(literal -1 binary64))))
(if (<=.f64 b #s(literal 140000000000000004155168318224704868655258293348692131840 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (exp (neg a)) (exp b)) 1) #s(approx (+ (exp (neg 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 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))))
(if (<=.f64 b #s(literal 140000000000000004155168318224704868655258293348692131840 binary64)) (pow.f64 #s(approx (+ (* (exp (neg a)) (exp b)) 1) #s(approx (+ (exp (neg 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)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64))) #s(literal -1 binary64))))
(if (<=.f64 b #s(literal 140000000000000004155168318224704868655258293348692131840 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (exp (neg a)) (exp b)) 1) (+.f64 #s(approx (exp (neg a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 1 binary64))) #s(literal 1 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))))
(if (<=.f64 b #s(literal 140000000000000004155168318224704868655258293348692131840 binary64)) (pow.f64 #s(approx (+ (* (exp (neg a)) (exp b)) 1) (+.f64 #s(approx (exp (neg a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 1 binary64))) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64))) #s(literal -1 binary64))))
(if (<=.f64 b #s(literal 140000000000000004155168318224704868655258293348692131840 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (exp (neg a)) (exp b)) 1) (+.f64 #s(approx (exp (neg a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 1 binary64))) #s(literal 1 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 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (*.f64 b b)))))))
(if (<=.f64 b #s(literal 140000000000000004155168318224704868655258293348692131840 binary64)) (pow.f64 #s(approx (+ (* (exp (neg a)) (exp b)) 1) (+.f64 #s(approx (exp (neg a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 1 binary64))) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (*.f64 b b)))) #s(literal -1 binary64))))
(if (<=.f64 b #s(literal 11499999999999999903898777837578586075525251310197441495021067994303539598477127764116748356477588136349743365114593773456912066480413072039100673924530176 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (exp (neg a)) (exp b)) 1) (+.f64 #s(approx (exp (neg a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 1 binary64))) #s(literal 1 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) (*.f64 (*.f64 #s(literal 1/2 binary64) b) b))))))
(if (<=.f64 b #s(literal 11499999999999999903898777837578586075525251310197441495021067994303539598477127764116748356477588136349743365114593773456912066480413072039100673924530176 binary64)) (pow.f64 #s(approx (+ (* (exp (neg a)) (exp b)) 1) (+.f64 #s(approx (exp (neg a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 1 binary64))) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) b) b))) #s(literal -1 binary64))))
(if (<=.f64 b #s(literal 11499999999999999903898777837578586075525251310197441495021067994303539598477127764116748356477588136349743365114593773456912066480413072039100673924530176 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (exp (neg a)) (exp b)) 1) #s(approx (+ (exp (neg 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) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) b) b))))))
(if (<=.f64 b #s(literal 11499999999999999903898777837578586075525251310197441495021067994303539598477127764116748356477588136349743365114593773456912066480413072039100673924530176 binary64)) (pow.f64 #s(approx (+ (* (exp (neg a)) (exp b)) 1) #s(approx (+ (exp (neg a)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) b) b))) #s(literal -1 binary64))))
(if (<=.f64 (exp.f64 b) #s(literal 2252250173647985/2251799813685248 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (exp (neg a)) (exp b)) 1) #s(approx (+ (exp (neg 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 2252250173647985/2251799813685248 binary64)) (pow.f64 #s(approx (+ (* (exp (neg a)) (exp b)) 1) #s(approx (+ (exp (neg a)) 1) (-.f64 #s(literal 2 binary64) a))) #s(literal -1 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #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))))
(if (<=.f64 b #s(literal 239999999999999998373027681846790714350810026066575360 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (exp (neg a)) (exp b)) 1) #s(approx (+ (exp (neg 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 #s(literal 1/2 binary64) b) b))))))
(if (<=.f64 b #s(literal 239999999999999998373027681846790714350810026066575360 binary64)) (pow.f64 #s(approx (+ (* (exp (neg a)) (exp b)) 1) #s(approx (+ (exp (neg a)) 1) (-.f64 #s(literal 2 binary64) a))) #s(literal -1 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) b) b))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (exp (neg a)) (exp b)) 1) #s(approx (+ (exp (neg a)) 1) (-.f64 #s(literal 2 binary64) a))))
(pow.f64 #s(approx (+ (* (exp (neg a)) (exp b)) 1) #s(approx (+ (exp (neg a)) 1) (-.f64 #s(literal 2 binary64) a))) #s(literal -1 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))

soundness1.5s (26.9%)

Memory
18.6MiB live, 844.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02201064
16011014
21730982
37095979
08274914
02082
03178
110676
259976
3544876
0841574
0617
01017
13217
220317
3194717
0868117
02871266
18511216
227791158
087331093
02681191
17841142
224451085
379721085
080041008
0120516
1332501
2973484
33759453
08455416
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 1 053 to 545 computations (48.2% saved)

preprocess112.0ms (2%)

Memory
-2.2MiB live, 146.2MiB allocated
Compiler

Compiled 1 192 to 270 computations (77.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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