Quotient of sum of exps

Time bar (total: 5.5s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze6.0ms (0.1%)

Memory
21.1MiB live, 21.1MiB allocated; 0ms collecting garbage
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 (22.4%)

Memory
16.6MiB live, 3 204.6MiB allocated; 330ms collecting garbage
Samples
580.0ms8 256×0valid
175.0ms2 843×0exit
Precisions
Click to see histograms. Total time spent on operations: 420.0ms
ival-exp: 247.0ms (58.9% of total)
ival-div: 87.0ms (20.7% of total)
ival-add: 69.0ms (16.4% of total)
ival-true: 9.0ms (2.1% of total)
ival-assert: 5.0ms (1.2% of total)
adjust: 3.0ms (0.7% of total)
Bogosity

explain161.0ms (2.9%)

Memory
-26.9MiB live, 260.7MiB allocated; 17ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
50-0-(/.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/u30
↳(exp.f64 a)underflow70
↳(+.f64 (exp.f64 a) (exp.f64 b))underflow3
↳(exp.f64 a)underflow70
↳(exp.f64 b)underflow46
/.f64(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))o/o20
↳(exp.f64 a)overflow2
↳(+.f64 (exp.f64 a) (exp.f64 b))overflow82
↳(exp.f64 a)overflow2
↳(exp.f64 b)overflow80
Confusion
Predicted +Predicted -
+50
-0251
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+500
-00251
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0251
15
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
31.0ms512×0valid
Compiler

Compiled 50 to 22 computations (56% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-exp: 9.0ms (56.5% of total)
ival-div: 3.0ms (18.8% of total)
ival-add: 3.0ms (18.8% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess158.0ms (2.9%)

Memory
22.3MiB live, 353.2MiB allocated; 23ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01648
14448
214248
355543
4320843
068
0108
1178
2438
31198
45828
559838
080508
Stop Event
1×iter limit
1×node limit
1×iter limit
1×node limit
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; 0ms collecting garbage
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.0%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 8 to 6 computations (25% saved)

simplify126.0ms (2.3%)

Memory
20.0MiB live, 301.4MiB allocated; 18ms collecting garbage
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
11719
24319
311919
458219
5598319
0805019
Stop Event
1×iter limit
1×node limit
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

localize56.0ms (1%)

Memory
1.0MiB live, 148.3MiB allocated; 17ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(exp.f64 b)
accuracy0.0
(exp.f64 a)
accuracy0.0078125
(+.f64 (exp.f64 a) (exp.f64 b))
accuracy1.2343846281741149
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Samples
50.0ms256×0valid
Compiler

Compiled 21 to 8 computations (61.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-exp: 4.0ms (51.5% of total)
ival-div: 2.0ms (25.7% of total)
ival-add: 1.0ms (12.9% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
-19.6MiB live, 27.3MiB allocated; 3ms collecting garbage
Counts
4 → 28
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
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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))))))
#s(approx (exp a) #s(hole binary64 1))
#s(approx (exp a) #s(hole binary64 (+ 1 a)))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ (exp a) (exp b)))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (exp b) #s(hole binary64 1))
#s(approx (exp b) #s(hole binary64 (+ 1 b)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (exp b) #s(hole binary64 (exp b)))
Calls

6 calls:

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

simplify173.0ms (3.1%)

Memory
31.5MiB live, 361.6MiB allocated; 23ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0148682
1391670
21472641
37120633
08578600
Stop Event
1×iter limit
1×node limit
Counts
28 → 28
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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))))))
#s(approx (exp a) #s(hole binary64 1))
#s(approx (exp a) #s(hole binary64 (+ 1 a)))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ (exp a) (exp b)))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (exp b) #s(hole binary64 1))
#s(approx (exp b) #s(hole binary64 (+ 1 b)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (exp b) #s(hole binary64 (exp b)))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #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)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (*.f64 (/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64))) a)) (/.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)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (fma.f64 (+.f64 (/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -1/6 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64))) (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal 3 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 4 binary64))))) a))) a (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #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)))))
#s(approx (exp a) #s(hole binary64 1))
#s(approx (exp a) #s(literal 1 binary64))
#s(approx (exp a) #s(hole binary64 (+ 1 a)))
#s(approx (exp a) (-.f64 a #s(literal -1 binary64)))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#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) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 b) #s(literal -1 binary64)))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (+ (exp a) (exp b)) (-.f64 (+.f64 (exp.f64 b) a) #s(literal -1 binary64)))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (-.f64 (exp.f64 b) #s(literal -1 binary64))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))
#s(approx (+ (exp a) (exp b)) (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))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ (exp a) (exp b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (exp a) (exp.f64 a))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b))))
#s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 b) (exp.f64 a)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (fma.f64 (neg.f64 (exp.f64 a)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (exp.f64 a)) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (exp.f64 a) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64)))) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 2 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)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (*.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 (/.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal -1/6 binary64)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (exp.f64 a) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64)))) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 3 binary64))))) b (/.f64 (fma.f64 #s(literal -1/2 binary64) (exp.f64 a) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64)))) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 2 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)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64)))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a)))))
#s(approx (+ (exp a) (exp b)) (-.f64 (+.f64 (exp.f64 a) b) #s(literal -1 binary64)))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (-.f64 (exp.f64 a) #s(literal -1 binary64))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (+ (exp a) (exp 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))))
#s(approx (exp b) #s(hole binary64 1))
#s(approx (exp b) #s(literal 1 binary64))
#s(approx (exp b) #s(hole binary64 (+ 1 b)))
#s(approx (exp b) (-.f64 b #s(literal -1 binary64)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (exp 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)))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (exp b) (exp.f64 b))

rewrite307.0ms (5.6%)

Memory
-47.2MiB live, 397.5MiB allocated; 37ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0617
01017
13317
224417
3309617
0958517
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
4 → 368
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(exp.f64 a)
(+.f64 (exp.f64 a) (exp.f64 b))
(exp.f64 b)
Outputs
(*.f64 (/.f64 (exp.f64 a) (pow.f64 (-.f64 (exp.f64 b) (exp.f64 a)) #s(literal 2 binary64))) (-.f64 (exp.f64 b) (exp.f64 a)))
(*.f64 (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #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 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 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 (exp.f64 b) (exp.f64 a)) (/.f64 (exp.f64 a) (pow.f64 (-.f64 (exp.f64 b) (exp.f64 a)) #s(literal 2 binary64))))
(*.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))))
(pow.f64 (*.f64 (exp.f64 (neg.f64 a)) (-.f64 (exp.f64 b) (exp.f64 a))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (-.f64 (exp.f64 b) (exp.f64 a)) #s(literal 2 binary64))) (-.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #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 (neg.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (-.f64 (exp.f64 b) (exp.f64 a)) #s(literal 2 binary64))) (pow.f64 (-.f64 (exp.f64 b) (exp.f64 a)) #s(literal 2 binary64)))) (-.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (neg.f64 (*.f64 (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 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 2 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 (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b)) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 6 binary64))))) (neg.f64 (fma.f64 (*.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b)) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (pow.f64 (exp.f64 a) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (*.f64 (exp.f64 a) (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 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (cosh.f64 a) (-.f64 (exp.f64 b) (exp.f64 a))) #s(literal 2 binary64)) (pow.f64 (/.f64 (sinh.f64 a) (-.f64 (exp.f64 b) (exp.f64 a))) #s(literal 2 binary64)))) (neg.f64 (/.f64 (exp.f64 (neg.f64 a)) (-.f64 (exp.f64 b) (exp.f64 a)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (cosh.f64 a) (-.f64 (exp.f64 b) (exp.f64 a))) #s(literal 3 binary64)) (pow.f64 (/.f64 (sinh.f64 a) (-.f64 (exp.f64 b) (exp.f64 a))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (cosh.f64 a) (-.f64 (exp.f64 b) (exp.f64 a))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (sinh.f64 a) (-.f64 (exp.f64 b) (exp.f64 a))) #s(literal 2 binary64)) (*.f64 (/.f64 (cosh.f64 a) (-.f64 (exp.f64 b) (exp.f64 a))) (/.f64 (sinh.f64 a) (-.f64 (exp.f64 b) (exp.f64 a))))))))
(/.f64 (neg.f64 (*.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))))) (neg.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 b) (exp.f64 a)) #s(literal 2 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) (pow.f64 (-.f64 (exp.f64 b) (exp.f64 a)) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (-.f64 (exp.f64 b) (exp.f64 a)) #s(literal 3 binary64))))
(/.f64 (neg.f64 (*.f64 (exp.f64 a) (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 2 binary64)))) (neg.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 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 (neg.f64 (*.f64 (exp.f64 a) (+.f64 (pow.f64 (*.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b)) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 6 binary64))))) (neg.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))) (fma.f64 (*.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b)) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (pow.f64 (exp.f64 a) #s(literal 4 binary64))))))
(/.f64 (neg.f64 (fma.f64 (cosh.f64 a) (-.f64 (exp.f64 b) (exp.f64 a)) (*.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (sinh.f64 a)))) (pow.f64 (-.f64 (exp.f64 b) (exp.f64 a)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 (exp.f64 a) (-.f64 (exp.f64 b) (exp.f64 a)))) (pow.f64 (-.f64 (exp.f64 b) (exp.f64 a)) #s(literal 2 binary64)))
(/.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (-.f64 (exp.f64 b) (exp.f64 a)) #s(literal 2 binary64))) (-.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 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 (exp.f64 a) (pow.f64 (-.f64 (exp.f64 b) (exp.f64 a)) #s(literal 2 binary64))) (pow.f64 (-.f64 (exp.f64 b) (exp.f64 a)) #s(literal 2 binary64))) (-.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (*.f64 (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 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 2 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 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b)) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b)) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (pow.f64 (exp.f64 a) #s(literal 4 binary64))))
(/.f64 (*.f64 (exp.f64 a) (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 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (cosh.f64 a) (-.f64 (exp.f64 b) (exp.f64 a))) #s(literal 2 binary64)) (pow.f64 (/.f64 (sinh.f64 a) (-.f64 (exp.f64 b) (exp.f64 a))) #s(literal 2 binary64))) (/.f64 (exp.f64 (neg.f64 a)) (-.f64 (exp.f64 b) (exp.f64 a))))
(/.f64 (+.f64 (pow.f64 (/.f64 (cosh.f64 a) (-.f64 (exp.f64 b) (exp.f64 a))) #s(literal 3 binary64)) (pow.f64 (/.f64 (sinh.f64 a) (-.f64 (exp.f64 b) (exp.f64 a))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (cosh.f64 a) (-.f64 (exp.f64 b) (exp.f64 a))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (sinh.f64 a) (-.f64 (exp.f64 b) (exp.f64 a))) #s(literal 2 binary64)) (*.f64 (/.f64 (cosh.f64 a) (-.f64 (exp.f64 b) (exp.f64 a))) (/.f64 (sinh.f64 a) (-.f64 (exp.f64 b) (exp.f64 a)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 a) #s(literal 3 binary64)) (pow.f64 (cosh.f64 a) #s(literal 3 binary64)))) (neg.f64 (*.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) a)) (*.f64 (sinh.f64 a) (cosh.f64 a))) (-.f64 (exp.f64 b) (exp.f64 a)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (exp.f64 (neg.f64 a)) (-.f64 (exp.f64 b) (exp.f64 a)))))
(/.f64 (*.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (*.f64 (pow.f64 (-.f64 (exp.f64 b) (exp.f64 a)) #s(literal 2 binary64)) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))
(/.f64 (*.f64 (exp.f64 a) (pow.f64 (-.f64 (exp.f64 b) (exp.f64 a)) #s(literal 2 binary64))) (pow.f64 (-.f64 (exp.f64 b) (exp.f64 a)) #s(literal 3 binary64)))
(/.f64 (*.f64 (exp.f64 a) (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 2 binary64))) (*.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 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 (exp.f64 a) (+.f64 (pow.f64 (*.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b)) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 6 binary64)))) (*.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))) (fma.f64 (*.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b)) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (pow.f64 (exp.f64 a) #s(literal 4 binary64)))))
(/.f64 (fma.f64 (cosh.f64 a) (-.f64 (exp.f64 b) (exp.f64 a)) (*.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (sinh.f64 a))) (pow.f64 (-.f64 (exp.f64 b) (exp.f64 a)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 a)) (-.f64 (exp.f64 b) (exp.f64 a))))
(/.f64 (+.f64 (pow.f64 (sinh.f64 a) #s(literal 3 binary64)) (pow.f64 (cosh.f64 a) #s(literal 3 binary64))) (*.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) a)) (*.f64 (sinh.f64 a) (cosh.f64 a))) (-.f64 (exp.f64 b) (exp.f64 a))))
(/.f64 (*.f64 (exp.f64 a) (-.f64 (exp.f64 b) (exp.f64 a))) (pow.f64 (-.f64 (exp.f64 b) (exp.f64 a)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (exp.f64 a)) (-.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (-.f64 (exp.f64 b) (exp.f64 a)))
(neg.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 b) (exp.f64 a))))
(fma.f64 (/.f64 (sinh.f64 a) (pow.f64 (-.f64 (exp.f64 b) (exp.f64 a)) #s(literal 2 binary64))) (-.f64 (exp.f64 b) (exp.f64 a)) (/.f64 (cosh.f64 a) (-.f64 (exp.f64 b) (exp.f64 a))))
(fma.f64 (/.f64 (cosh.f64 a) (pow.f64 (-.f64 (exp.f64 b) (exp.f64 a)) #s(literal 2 binary64))) (-.f64 (exp.f64 b) (exp.f64 a)) (/.f64 (sinh.f64 a) (-.f64 (exp.f64 b) (exp.f64 a))))
(fma.f64 (/.f64 (sinh.f64 a) (-.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #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 (cosh.f64 a) (-.f64 (exp.f64 b) (exp.f64 a))))
(fma.f64 (/.f64 (sinh.f64 a) (-.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 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 (cosh.f64 a) (-.f64 (exp.f64 b) (exp.f64 a))))
(fma.f64 (/.f64 (cosh.f64 a) (-.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #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 (sinh.f64 a) (-.f64 (exp.f64 b) (exp.f64 a))))
(fma.f64 (/.f64 (cosh.f64 a) (-.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 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 (sinh.f64 a) (-.f64 (exp.f64 b) (exp.f64 a))))
(fma.f64 (/.f64 (exp.f64 a) (pow.f64 (-.f64 (exp.f64 b) (exp.f64 a)) #s(literal 2 binary64))) (cosh.f64 a) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (-.f64 (exp.f64 b) (exp.f64 a)) #s(literal 2 binary64))) (-.f64 (sinh.f64 a) (exp.f64 b))))
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(/.f64 (sqrt.f64 (*.f64 (exp.f64 b) #s(literal 1 binary64))) (sqrt.f64 (exp.f64 (neg.f64 b))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (cosh.f64 b) (exp.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sinh.f64 b) (exp.f64 b)) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (*.f64 (cosh.f64 b) (exp.f64 b)) (*.f64 (sinh.f64 b) (exp.f64 b)))))
(/.f64 (hypot.f64 (pow.f64 (*.f64 (cosh.f64 b) (exp.f64 b)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (sinh.f64 b) (exp.f64 b)) #s(literal 3/2 binary64))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (cosh.f64 b) (exp.f64 b)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sinh.f64 b) (exp.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cosh.f64 b) (exp.f64 b)) (*.f64 (sinh.f64 b) (exp.f64 b)))))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (pow.f64 (cosh.f64 b) #s(literal 3 binary64))) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) b)) (*.f64 (sinh.f64 b) (cosh.f64 b))) (exp.f64 (neg.f64 b)))))
(/.f64 (sqrt.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (pow.f64 (cosh.f64 b) #s(literal 3 binary64))))) (sqrt.f64 (*.f64 (exp.f64 (neg.f64 b)) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) b)) (*.f64 (sinh.f64 b) (cosh.f64 b))))))
(/.f64 (exp.f64 (log.f64 (+.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (pow.f64 (cosh.f64 b) #s(literal 3 binary64))))) (exp.f64 (log.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) b)) (*.f64 (sinh.f64 b) (cosh.f64 b))))))
(/.f64 (pow.f64 (exp.f64 b) (pow.f64 (cosh.f64 a) #s(literal 2 binary64))) (pow.f64 (exp.f64 b) (pow.f64 (sinh.f64 a) #s(literal 2 binary64))))
(/.f64 (pow.f64 (exp.f64 b) (pow.f64 (cosh.f64 b) #s(literal 2 binary64))) (pow.f64 (exp.f64 b) (pow.f64 (sinh.f64 b) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (sinh.f64 b) #s(literal 2 binary64)) (pow.f64 (cosh.f64 b) #s(literal 2 binary64))) (-.f64 (sinh.f64 b) (cosh.f64 b)))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 b) (*.f64 #s(literal 2 binary64) (cosh.f64 b))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 b) (*.f64 #s(literal 2 binary64) (sinh.f64 b))) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 b))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (pow.f64 (cosh.f64 b) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (sinh.f64 b) (sinh.f64 b) (-.f64 (pow.f64 (cosh.f64 b) #s(literal 2 binary64)) (*.f64 (sinh.f64 b) (cosh.f64 b))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (pow.f64 (cosh.f64 b) #s(literal 3 binary64)))) (neg.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) b)) (*.f64 (sinh.f64 b) (cosh.f64 b)))))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 b)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 b)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 b)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 b)))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (+.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (pow.f64 (cosh.f64 b) #s(literal 3 binary64)))) (fabs.f64 (fma.f64 (sinh.f64 b) (sinh.f64 b) (-.f64 (pow.f64 (cosh.f64 b) #s(literal 2 binary64)) (*.f64 (sinh.f64 b) (cosh.f64 b))))))
(/.f64 (fabs.f64 (+.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (pow.f64 (cosh.f64 b) #s(literal 3 binary64)))) (fabs.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) b)) (*.f64 (sinh.f64 b) (cosh.f64 b)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 (neg.f64 b)))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)))
(/.f64 (+.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (pow.f64 (cosh.f64 b) #s(literal 3 binary64))) (fma.f64 (sinh.f64 b) (sinh.f64 b) (-.f64 (pow.f64 (cosh.f64 b) #s(literal 2 binary64)) (*.f64 (sinh.f64 b) (cosh.f64 b)))))
(/.f64 (+.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (pow.f64 (cosh.f64 b) #s(literal 3 binary64))) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) b)) (*.f64 (sinh.f64 b) (cosh.f64 b))))
(sqrt.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 (cosh.f64 b) #s(literal 2 binary64)) (exp.f64 (neg.f64 b))) (/.f64 (pow.f64 (sinh.f64 b) #s(literal 2 binary64)) (exp.f64 (neg.f64 b))))
(-.f64 (cosh.f64 b) (sinh.f64 (neg.f64 b)))
(fabs.f64 (-.f64 (/.f64 (pow.f64 (sinh.f64 b) #s(literal 2 binary64)) (exp.f64 (neg.f64 b))) (/.f64 (pow.f64 (cosh.f64 b) #s(literal 2 binary64)) (exp.f64 (neg.f64 b)))))
(fabs.f64 (neg.f64 (neg.f64 (exp.f64 b))))
(fabs.f64 (neg.f64 (exp.f64 b)))
(fabs.f64 (exp.f64 b))
(exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) b) #s(literal 2 binary64)))
(exp.f64 (*.f64 b #s(literal 1 binary64)))
(exp.f64 b)
(+.f64 (/.f64 (pow.f64 (cosh.f64 b) #s(literal 3 binary64)) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) b)) (*.f64 (sinh.f64 b) (cosh.f64 b)))) (/.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) b)) (*.f64 (sinh.f64 b) (cosh.f64 b)))))
(+.f64 (sinh.f64 b) (cosh.f64 b))
(+.f64 (cosh.f64 b) (sinh.f64 b))

eval95.0ms (1.7%)

Memory
20.6MiB live, 164.7MiB allocated; 8ms collecting garbage
Compiler

Compiled 12 159 to 1 589 computations (86.9% saved)

prune27.0ms (0.5%)

Memory
0.6MiB live, 46.8MiB allocated; 2ms collecting garbage
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New4595464
Fresh000
Picked101
Done000
Total4605465
Accuracy
99.4%
Counts
465 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.0%
(/.f64 (*.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a))) (+.f64 (exp.f64 a) (exp.f64 b)))
▶62.4%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
▶73.8%
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 (exp.f64 a) (exp.f64 b)))
▶60.4%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (fma.f64 (neg.f64 (exp.f64 a)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (exp.f64 a)) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
▶80.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
Compiler

Compiled 166 to 112 computations (32.5% saved)

simplify161.0ms (2.9%)

Memory
7.2MiB live, 146.0MiB allocated; 17ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 (exp.f64 a))
cost-diff0
(fma.f64 (neg.f64 (exp.f64 a)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (exp.f64 a))
cost-diff0
(/.f64 (fma.f64 (neg.f64 (exp.f64 a)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (exp.f64 a)) (-.f64 (exp.f64 a) #s(literal -1 binary64)))
cost-diff0
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (fma.f64 (neg.f64 (exp.f64 a)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (exp.f64 a)) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
cost-diff0
(fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64))
cost-diff0
(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))
cost-diff0
#s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
cost-diff0
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 (exp.f64 a) (exp.f64 b)))
cost-diff0
#s(approx (exp b) #s(literal 1 binary64))
cost-diff0
(+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))
cost-diff0
(exp.f64 a)
cost-diff0
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
cost-diff0
(exp.f64 b)
cost-diff0
(-.f64 (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))))
cost-diff0
(exp.f64 a)
cost-diff0
(sqrt.f64 (exp.f64 a))
cost-diff0
(/.f64 (*.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a))) (+.f64 (exp.f64 a) (exp.f64 b)))
cost-diff5
(*.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033229
058219
193219
2245219
3788219
43978219
08084219
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a))) (+.f64 (exp.f64 a) (exp.f64 b)))
(*.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)))
(sqrt.f64 (exp.f64 a))
(exp.f64 a)
a
(+.f64 (exp.f64 a) (exp.f64 b))
(exp.f64 b)
b
#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
#s(literal -1 binary64)
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(exp.f64 a)
a
(+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))
#s(approx (exp b) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 (exp.f64 a) (exp.f64 b)))
#s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
(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))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
a
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(+.f64 (exp.f64 a) (exp.f64 b))
(exp.f64 a)
(exp.f64 b)
b
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (fma.f64 (neg.f64 (exp.f64 a)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (exp.f64 a)) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(/.f64 (fma.f64 (neg.f64 (exp.f64 a)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (exp.f64 a)) (-.f64 (exp.f64 a) #s(literal -1 binary64)))
(fma.f64 (neg.f64 (exp.f64 a)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (exp.f64 a))
(neg.f64 (exp.f64 a))
(exp.f64 a)
a
(/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))
b
(-.f64 (exp.f64 a) #s(literal -1 binary64))
#s(literal -1 binary64)
Outputs
(/.f64 (*.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a))) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(*.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)))
(exp.f64 a)
(sqrt.f64 (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
#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
#s(literal -1 binary64)
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a)))
(exp.f64 a)
a
(+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))
(+.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a))
#s(approx (exp b) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 (exp.f64 b) (exp.f64 a)))
#s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
(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))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
a
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(+.f64 (exp.f64 a) (exp.f64 b))
(+.f64 (exp.f64 b) (exp.f64 a))
(exp.f64 a)
(exp.f64 b)
b
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (fma.f64 (neg.f64 (exp.f64 a)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (exp.f64 a)) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (fma.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (neg.f64 (exp.f64 a)) (exp.f64 a)) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(/.f64 (fma.f64 (neg.f64 (exp.f64 a)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (exp.f64 a)) (-.f64 (exp.f64 a) #s(literal -1 binary64)))
(/.f64 (fma.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (neg.f64 (exp.f64 a)) (exp.f64 a)) (-.f64 (exp.f64 a) #s(literal -1 binary64)))
(fma.f64 (neg.f64 (exp.f64 a)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (exp.f64 a))
(fma.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (neg.f64 (exp.f64 a)) (exp.f64 a))
(neg.f64 (exp.f64 a))
(exp.f64 a)
a
(/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))
b
(-.f64 (exp.f64 a) #s(literal -1 binary64))
#s(literal -1 binary64)

localize126.0ms (2.3%)

Memory
-29.1MiB live, 113.5MiB allocated; 24ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.015625
(/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))
accuracy0.40234375000000006
(fma.f64 (neg.f64 (exp.f64 a)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (exp.f64 a))
accuracy0.5078180021016504
(/.f64 (fma.f64 (neg.f64 (exp.f64 a)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (exp.f64 a)) (-.f64 (exp.f64 a) #s(literal -1 binary64)))
accuracy24.843534667385672
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (fma.f64 (neg.f64 (exp.f64 a)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (exp.f64 a)) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
accuracy0.06640625
(fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64))
accuracy0.09765625
(fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64))
accuracy1.2343846281741149
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 (exp.f64 a) (exp.f64 b)))
accuracy18.41006580380919
#s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
accuracy0.0
(exp.f64 a)
accuracy0.0078125
(+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))
accuracy1.2343846281741149
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
accuracy31.297431182360345
#s(approx (exp b) #s(literal 1 binary64))
accuracy0.0
(exp.f64 b)
accuracy0.00390625
(-.f64 (exp.f64 b) #s(literal -1 binary64))
accuracy0.0078125
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))
accuracy12.28047601598185
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
accuracy0.00390625
(sqrt.f64 (exp.f64 a))
accuracy0.0078125
(+.f64 (exp.f64 a) (exp.f64 b))
accuracy0.021816259768442016
(*.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)))
accuracy1.2343846281741149
(/.f64 (*.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a))) (+.f64 (exp.f64 a) (exp.f64 b)))
Samples
91.0ms256×0valid
Compiler

Compiled 186 to 29 computations (84.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 62.0ms
ival-add: 22.0ms (35.7% of total)
ival-sub: 13.0ms (21.1% of total)
ival-div: 8.0ms (13% of total)
ival-mult: 8.0ms (13% of total)
ival-exp: 4.0ms (6.5% of total)
const: 4.0ms (6.5% of total)
ival-sqrt: 2.0ms (3.2% of total)
ival-neg: 1.0ms (1.6% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series23.0ms (0.4%)

Memory
34.5MiB live, 34.5MiB allocated; 0ms collecting garbage
Counts
22 → 106
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)))
(/.f64 (*.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a))) (+.f64 (exp.f64 a) (exp.f64 b)))
(sqrt.f64 (exp.f64 a))
(exp.f64 a)
#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) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))
#s(approx (exp b) #s(literal 1 binary64))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 (exp.f64 a) (exp.f64 b)))
#s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
(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))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (fma.f64 (neg.f64 (exp.f64 a)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (exp.f64 a)) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(/.f64 (fma.f64 (neg.f64 (exp.f64 a)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (exp.f64 a)) (-.f64 (exp.f64 a) #s(literal -1 binary64)))
(fma.f64 (neg.f64 (exp.f64 a)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (exp.f64 a))
(neg.f64 (exp.f64 a))
(+.f64 (exp.f64 a) (exp.f64 b))
(fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64))
(/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))
Outputs
#s(approx (* (sqrt (exp a)) (sqrt (exp a))) #s(hole binary64 1))
#s(approx (* (sqrt (exp a)) (sqrt (exp a))) #s(hole binary64 (+ 1 a)))
#s(approx (* (sqrt (exp a)) (sqrt (exp a))) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (* (sqrt (exp a)) (sqrt (exp a))) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (/ (* (sqrt (exp a)) (sqrt (exp a))) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ (* (sqrt (exp a)) (sqrt (exp a))) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (* (sqrt (exp a)) (sqrt (exp a))) (+ (exp a) (exp b))) #s(hole 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))))))
#s(approx (/ (* (sqrt (exp a)) (sqrt (exp a))) (+ (exp a) (exp b))) #s(hole 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))))))
#s(approx (sqrt (exp a)) #s(hole binary64 1))
#s(approx (sqrt (exp a)) #s(hole binary64 (+ 1 (* 1/2 a))))
#s(approx (sqrt (exp a)) #s(hole binary64 (+ 1 (* a (+ 1/2 (* 1/8 a))))))
#s(approx (sqrt (exp a)) #s(hole binary64 (+ 1 (* a (+ 1/2 (* a (+ 1/8 (* 1/48 a))))))))
#s(approx (exp a) #s(hole binary64 1))
#s(approx (exp a) #s(hole binary64 (+ 1 a)))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (+ 1 a)))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (+ 1 (* 1/2 a))))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (+ 1 (* a (+ 1/2 (* 1/6 a))))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (* 1/2 (+ 1 (* -1/2 b)))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* 1/4 (+ 1 (* -1/2 b))))))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* a (- (* 1/2 (+ 1/2 (* -1 (- (* 1/4 b) (+ (* 1/8 b) (* 1/2 (- (* 1/2 b) (* 1/4 b)))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b))))))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* a (- (+ (* 1/2 (+ 1/2 (* -1 (- (* 1/4 b) (+ (* 1/8 b) (* 1/2 (- (* 1/2 b) (* 1/4 b)))))))) (* a (- (* 1/2 (+ 1/6 (* -1 (- (* 1/12 b) (+ (* 1/24 b) (+ (* 1/4 (- (* 1/2 b) (* 1/4 b))) (* 1/2 (- (* 1/4 b) (+ (* 1/8 b) (* 1/2 (- (* 1/2 b) (* 1/4 b)))))))))))) (+ (* 1/24 (+ 1 (* -1/2 b))) (+ (* 1/4 (- (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* 1/4 (+ 1 (* -1/2 b))))) (* 1/2 (- (* 1/2 (+ 1/2 (* -1 (- (* 1/4 b) (+ (* 1/8 b) (* 1/2 (- (* 1/2 b) (* 1/4 b)))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* 1/4 (+ 1 (* -1/2 b))))))))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b))))))))
#s(approx (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) #s(hole binary64 (+ 1 (* -1/2 b))))
#s(approx (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) #s(hole binary64 (+ 1 (+ (* -1/2 b) (* a (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b)))))))))
#s(approx (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) #s(hole binary64 (+ 1 (+ (* -1/2 b) (* a (+ 1 (+ (* -1 (- (* 1/2 b) (* 1/4 b))) (* a (+ 1/2 (* -1 (- (* 1/4 b) (+ (* 1/8 b) (* 1/2 (- (* 1/2 b) (* 1/4 b)))))))))))))))
#s(approx (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) #s(hole binary64 (+ 1 (+ (* -1/2 b) (* a (+ 1 (+ (* -1 (- (* 1/2 b) (* 1/4 b))) (* a (+ 1/2 (+ (* -1 (- (* 1/4 b) (+ (* 1/8 b) (* 1/2 (- (* 1/2 b) (* 1/4 b)))))) (* a (+ 1/6 (* -1 (- (* 1/12 b) (+ (* 1/24 b) (+ (* 1/4 (- (* 1/2 b) (* 1/4 b))) (* 1/2 (- (* 1/4 b) (+ (* 1/8 b) (* 1/2 (- (* 1/2 b) (* 1/4 b))))))))))))))))))))))
#s(approx (neg (exp a)) #s(hole binary64 -1))
#s(approx (neg (exp a)) #s(hole binary64 (- (* -1 a) 1)))
#s(approx (neg (exp a)) #s(hole binary64 (- (* a (- (* -1/2 a) 1)) 1)))
#s(approx (neg (exp a)) #s(hole binary64 (- (* a (- (* a (- (* -1/6 a) 1/2)) 1)) 1)))
#s(approx (+ (* 1/6 a) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/6 a) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 a))))
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (* 1/2 b)))
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (+ (* -1/4 (* a b)) (* 1/2 b))))
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))))
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (+ (* 1/2 b) (* a (- (* a (- (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))))) (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))))
#s(approx (* (sqrt (exp a)) (sqrt (exp a))) #s(hole binary64 (exp a)))
#s(approx (/ (* (sqrt (exp a)) (sqrt (exp a))) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ (exp a) (exp b)))))
#s(approx (sqrt (exp a)) #s(hole binary64 (sqrt (exp a))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ (exp a) (exp b)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* 1/6 (pow a 3))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* (pow a 3) (+ 1/6 (* 1/2 (/ 1 a))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* (pow a 3) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* (pow a 3) (+ 1/6 (+ (* 1/2 (/ 1 a)) (+ (/ 1 (pow a 2)) (/ 1 (pow a 3))))))))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (* 1/6 (pow a 2))))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (* (pow a 2) (+ 1/6 (* 1/2 (/ 1 a))))))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (* (pow a 2) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2)))))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (/ (+ (exp a) (* -1 (/ (* b (exp a)) (+ 1 (exp a))))) (+ 1 (exp a)))))
#s(approx (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) #s(hole binary64 (+ (exp a) (* -1 (/ (* b (exp a)) (+ 1 (exp a)))))))
#s(approx (neg (exp a)) #s(hole binary64 (* -1 (exp a))))
#s(approx (+ (* 1/6 a) 1/2) #s(hole binary64 (* 1/6 a)))
#s(approx (+ (* 1/6 a) 1/2) #s(hole binary64 (* a (+ 1/6 (* 1/2 (/ 1 a))))))
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* -1 (* (pow a 3) (- (* -1 (/ (+ 1/2 (/ 1 a)) a)) 1/6)))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* -1 (* (pow a 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))) a)) 1/6)))))
#s(approx (/ (* (sqrt (exp a)) (sqrt (exp a))) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (/ (* (sqrt (exp a)) (sqrt (exp a))) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (* (sqrt (exp a)) (sqrt (exp a))) (+ (exp a) (exp b))) #s(hole 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))))))
#s(approx (/ (* (sqrt (exp a)) (sqrt (exp a))) (+ (exp a) (exp b))) #s(hole 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))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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))))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 1/2))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))))
#s(approx (- (exp b) -1) #s(hole binary64 2))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 b)))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (exp b) #s(hole binary64 1))
#s(approx (exp b) #s(hole binary64 (+ 1 b)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) #s(hole binary64 (exp a)))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 1 (exp b))))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2)))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a))))))))
#s(approx (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) #s(hole binary64 (* -1 (/ (* b (exp a)) (+ 1 (exp a))))))
#s(approx (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) #s(hole binary64 (* b (+ (* -1 (/ (exp a) (+ 1 (exp a)))) (/ (exp a) b)))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))))))
#s(approx (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ (exp a) b)) (/ (exp a) (+ 1 (exp a))))))))
Calls

6 calls:

TimeVariablePointExpression
5.0ms
a
@inf
((* (sqrt (exp a)) (sqrt (exp a))) (/ (* (sqrt (exp a)) (sqrt (exp a))) (+ (exp a) (exp b))) (sqrt (exp a)) (exp a) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (exp b) (/ (exp a) (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (+ (* (+ (* 1/6 a) 1/2) a) 1) (/ (exp a) (+ (exp a) (exp b))) (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (neg (exp a)) (+ (exp a) (exp b)) (+ (* 1/6 a) 1/2) (/ b (- (exp a) -1)))
4.0ms
a
@0
((* (sqrt (exp a)) (sqrt (exp a))) (/ (* (sqrt (exp a)) (sqrt (exp a))) (+ (exp a) (exp b))) (sqrt (exp a)) (exp a) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (exp b) (/ (exp a) (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (+ (* (+ (* 1/6 a) 1/2) a) 1) (/ (exp a) (+ (exp a) (exp b))) (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (neg (exp a)) (+ (exp a) (exp b)) (+ (* 1/6 a) 1/2) (/ b (- (exp a) -1)))
4.0ms
a
@-inf
((* (sqrt (exp a)) (sqrt (exp a))) (/ (* (sqrt (exp a)) (sqrt (exp a))) (+ (exp a) (exp b))) (sqrt (exp a)) (exp a) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (exp b) (/ (exp a) (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (+ (* (+ (* 1/6 a) 1/2) a) 1) (/ (exp a) (+ (exp a) (exp b))) (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (neg (exp a)) (+ (exp a) (exp b)) (+ (* 1/6 a) 1/2) (/ b (- (exp a) -1)))
3.0ms
b
@0
((* (sqrt (exp a)) (sqrt (exp a))) (/ (* (sqrt (exp a)) (sqrt (exp a))) (+ (exp a) (exp b))) (sqrt (exp a)) (exp a) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (exp b) (/ (exp a) (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (+ (* (+ (* 1/6 a) 1/2) a) 1) (/ (exp a) (+ (exp a) (exp b))) (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (neg (exp a)) (+ (exp a) (exp b)) (+ (* 1/6 a) 1/2) (/ b (- (exp a) -1)))
2.0ms
b
@inf
((* (sqrt (exp a)) (sqrt (exp a))) (/ (* (sqrt (exp a)) (sqrt (exp a))) (+ (exp a) (exp b))) (sqrt (exp a)) (exp a) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (exp b) (/ (exp a) (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (+ (* (+ (* 1/6 a) 1/2) a) 1) (/ (exp a) (+ (exp a) (exp b))) (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (neg (exp a)) (+ (exp a) (exp b)) (+ (* 1/6 a) 1/2) (/ b (- (exp a) -1)))

simplify225.0ms (4.1%)

Memory
-19.0MiB live, 168.3MiB allocated; 38ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04372793
111942529
249752460
083352296
Stop Event
1×iter limit
1×node limit
Counts
106 → 106
Calls
Call 1
Inputs
#s(approx (* (sqrt (exp a)) (sqrt (exp a))) #s(hole binary64 1))
#s(approx (* (sqrt (exp a)) (sqrt (exp a))) #s(hole binary64 (+ 1 a)))
#s(approx (* (sqrt (exp a)) (sqrt (exp a))) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (* (sqrt (exp a)) (sqrt (exp a))) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (/ (* (sqrt (exp a)) (sqrt (exp a))) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ (* (sqrt (exp a)) (sqrt (exp a))) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (* (sqrt (exp a)) (sqrt (exp a))) (+ (exp a) (exp b))) #s(hole 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))))))
#s(approx (/ (* (sqrt (exp a)) (sqrt (exp a))) (+ (exp a) (exp b))) #s(hole 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))))))
#s(approx (sqrt (exp a)) #s(hole binary64 1))
#s(approx (sqrt (exp a)) #s(hole binary64 (+ 1 (* 1/2 a))))
#s(approx (sqrt (exp a)) #s(hole binary64 (+ 1 (* a (+ 1/2 (* 1/8 a))))))
#s(approx (sqrt (exp a)) #s(hole binary64 (+ 1 (* a (+ 1/2 (* a (+ 1/8 (* 1/48 a))))))))
#s(approx (exp a) #s(hole binary64 1))
#s(approx (exp a) #s(hole binary64 (+ 1 a)))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (+ 1 a)))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (+ 1 (* 1/2 a))))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (+ 1 (* a (+ 1/2 (* 1/6 a))))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (* 1/2 (+ 1 (* -1/2 b)))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* 1/4 (+ 1 (* -1/2 b))))))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* a (- (* 1/2 (+ 1/2 (* -1 (- (* 1/4 b) (+ (* 1/8 b) (* 1/2 (- (* 1/2 b) (* 1/4 b)))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b))))))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* a (- (+ (* 1/2 (+ 1/2 (* -1 (- (* 1/4 b) (+ (* 1/8 b) (* 1/2 (- (* 1/2 b) (* 1/4 b)))))))) (* a (- (* 1/2 (+ 1/6 (* -1 (- (* 1/12 b) (+ (* 1/24 b) (+ (* 1/4 (- (* 1/2 b) (* 1/4 b))) (* 1/2 (- (* 1/4 b) (+ (* 1/8 b) (* 1/2 (- (* 1/2 b) (* 1/4 b)))))))))))) (+ (* 1/24 (+ 1 (* -1/2 b))) (+ (* 1/4 (- (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* 1/4 (+ 1 (* -1/2 b))))) (* 1/2 (- (* 1/2 (+ 1/2 (* -1 (- (* 1/4 b) (+ (* 1/8 b) (* 1/2 (- (* 1/2 b) (* 1/4 b)))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* 1/4 (+ 1 (* -1/2 b))))))))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b))))))))
#s(approx (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) #s(hole binary64 (+ 1 (* -1/2 b))))
#s(approx (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) #s(hole binary64 (+ 1 (+ (* -1/2 b) (* a (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b)))))))))
#s(approx (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) #s(hole binary64 (+ 1 (+ (* -1/2 b) (* a (+ 1 (+ (* -1 (- (* 1/2 b) (* 1/4 b))) (* a (+ 1/2 (* -1 (- (* 1/4 b) (+ (* 1/8 b) (* 1/2 (- (* 1/2 b) (* 1/4 b)))))))))))))))
#s(approx (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) #s(hole binary64 (+ 1 (+ (* -1/2 b) (* a (+ 1 (+ (* -1 (- (* 1/2 b) (* 1/4 b))) (* a (+ 1/2 (+ (* -1 (- (* 1/4 b) (+ (* 1/8 b) (* 1/2 (- (* 1/2 b) (* 1/4 b)))))) (* a (+ 1/6 (* -1 (- (* 1/12 b) (+ (* 1/24 b) (+ (* 1/4 (- (* 1/2 b) (* 1/4 b))) (* 1/2 (- (* 1/4 b) (+ (* 1/8 b) (* 1/2 (- (* 1/2 b) (* 1/4 b))))))))))))))))))))))
#s(approx (neg (exp a)) #s(hole binary64 -1))
#s(approx (neg (exp a)) #s(hole binary64 (- (* -1 a) 1)))
#s(approx (neg (exp a)) #s(hole binary64 (- (* a (- (* -1/2 a) 1)) 1)))
#s(approx (neg (exp a)) #s(hole binary64 (- (* a (- (* a (- (* -1/6 a) 1/2)) 1)) 1)))
#s(approx (+ (* 1/6 a) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/6 a) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 a))))
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (* 1/2 b)))
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (+ (* -1/4 (* a b)) (* 1/2 b))))
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))))
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (+ (* 1/2 b) (* a (- (* a (- (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))))) (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))))
#s(approx (* (sqrt (exp a)) (sqrt (exp a))) #s(hole binary64 (exp a)))
#s(approx (/ (* (sqrt (exp a)) (sqrt (exp a))) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ (exp a) (exp b)))))
#s(approx (sqrt (exp a)) #s(hole binary64 (sqrt (exp a))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ (exp a) (exp b)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* 1/6 (pow a 3))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* (pow a 3) (+ 1/6 (* 1/2 (/ 1 a))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* (pow a 3) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* (pow a 3) (+ 1/6 (+ (* 1/2 (/ 1 a)) (+ (/ 1 (pow a 2)) (/ 1 (pow a 3))))))))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (* 1/6 (pow a 2))))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (* (pow a 2) (+ 1/6 (* 1/2 (/ 1 a))))))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (* (pow a 2) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2)))))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (/ (+ (exp a) (* -1 (/ (* b (exp a)) (+ 1 (exp a))))) (+ 1 (exp a)))))
#s(approx (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) #s(hole binary64 (+ (exp a) (* -1 (/ (* b (exp a)) (+ 1 (exp a)))))))
#s(approx (neg (exp a)) #s(hole binary64 (* -1 (exp a))))
#s(approx (+ (* 1/6 a) 1/2) #s(hole binary64 (* 1/6 a)))
#s(approx (+ (* 1/6 a) 1/2) #s(hole binary64 (* a (+ 1/6 (* 1/2 (/ 1 a))))))
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* -1 (* (pow a 3) (- (* -1 (/ (+ 1/2 (/ 1 a)) a)) 1/6)))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* -1 (* (pow a 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))) a)) 1/6)))))
#s(approx (/ (* (sqrt (exp a)) (sqrt (exp a))) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (/ (* (sqrt (exp a)) (sqrt (exp a))) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (* (sqrt (exp a)) (sqrt (exp a))) (+ (exp a) (exp b))) #s(hole 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))))))
#s(approx (/ (* (sqrt (exp a)) (sqrt (exp a))) (+ (exp a) (exp b))) #s(hole 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))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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))))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 1/2))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))))
#s(approx (- (exp b) -1) #s(hole binary64 2))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 b)))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (exp b) #s(hole binary64 1))
#s(approx (exp b) #s(hole binary64 (+ 1 b)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) #s(hole binary64 (exp a)))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 1 (exp b))))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2)))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a))))))))
#s(approx (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) #s(hole binary64 (* -1 (/ (* b (exp a)) (+ 1 (exp a))))))
#s(approx (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) #s(hole binary64 (* b (+ (* -1 (/ (exp a) (+ 1 (exp a)))) (/ (exp a) b)))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))))))
#s(approx (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ (exp a) b)) (/ (exp a) (+ 1 (exp a))))))))
Outputs
#s(approx (* (sqrt (exp a)) (sqrt (exp a))) #s(hole binary64 1))
#s(approx (* (sqrt (exp a)) (sqrt (exp a))) #s(literal 1 binary64))
#s(approx (* (sqrt (exp a)) (sqrt (exp a))) #s(hole binary64 (+ 1 a)))
#s(approx (* (sqrt (exp a)) (sqrt (exp a))) (+.f64 #s(literal 1 binary64) a))
#s(approx (* (sqrt (exp a)) (sqrt (exp a))) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (* (sqrt (exp a)) (sqrt (exp a))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
#s(approx (* (sqrt (exp a)) (sqrt (exp a))) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (* (sqrt (exp a)) (sqrt (exp a))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
#s(approx (/ (* (sqrt (exp a)) (sqrt (exp a))) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ (* (sqrt (exp a)) (sqrt (exp a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
#s(approx (/ (* (sqrt (exp a)) (sqrt (exp a))) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (* (sqrt (exp a)) (sqrt (exp a))) (+ (exp a) (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)))))
#s(approx (/ (* (sqrt (exp a)) (sqrt (exp a))) (+ (exp a) (exp b))) #s(hole 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))))))
#s(approx (/ (* (sqrt (exp a)) (sqrt (exp a))) (+ (exp a) (exp b))) (fma.f64 (fma.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal -3/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 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)))))
#s(approx (/ (* (sqrt (exp a)) (sqrt (exp a))) (+ (exp a) (exp b))) #s(hole 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))))))
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#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* 1/6 (pow a 3))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* (pow a 3) (+ 1/6 (* 1/2 (/ 1 a))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal -1/6 binary64)) (pow.f64 a #s(literal 3 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* (pow a 3) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1/2 binary64)) a) #s(literal -1/6 binary64)) (pow.f64 a #s(literal 3 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* (pow a 3) (+ 1/6 (+ (* 1/2 (/ 1 a)) (+ (/ 1 (pow a 2)) (/ 1 (pow a 3))))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) a) #s(literal -1/2 binary64)) a) #s(literal -1/6 binary64)) (pow.f64 a #s(literal 3 binary64))))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (* 1/6 (pow a 2))))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) (*.f64 (*.f64 a a) #s(literal 1/6 binary64)))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (* (pow a 2) (+ 1/6 (* 1/2 (/ 1 a))))))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal -1/6 binary64)) a) a))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (* (pow a 2) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2)))))))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1/2 binary64)) a) #s(literal -1/6 binary64)) (*.f64 a a)))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (/ (+ (exp a) (* -1 (/ (* b (exp a)) (+ 1 (exp a))))) (+ 1 (exp a)))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (/.f64 (fma.f64 (neg.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) #s(hole binary64 (+ (exp a) (* -1 (/ (* b (exp a)) (+ 1 (exp a)))))))
#s(approx (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (fma.f64 (neg.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (exp.f64 a)))
#s(approx (neg (exp a)) #s(hole binary64 (* -1 (exp a))))
#s(approx (neg (exp a)) (neg.f64 (exp.f64 a)))
#s(approx (+ (* 1/6 a) 1/2) #s(hole binary64 (* 1/6 a)))
#s(approx (+ (* 1/6 a) 1/2) (*.f64 #s(literal 1/6 binary64) a))
#s(approx (+ (* 1/6 a) 1/2) #s(hole binary64 (* a (+ 1/6 (* 1/2 (/ 1 a))))))
#s(approx (+ (* 1/6 a) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal -1/6 binary64)) a))
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (/ b (- (exp a) -1)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* -1 (* (pow a 3) (- (* -1 (/ (+ 1/2 (/ 1 a)) a)) 1/6)))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1/2 binary64)) a) #s(literal -1/6 binary64)) (pow.f64 a #s(literal 3 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* -1 (* (pow a 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))) a)) 1/6)))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) a) #s(literal -1/2 binary64)) a) #s(literal -1/6 binary64)) (pow.f64 a #s(literal 3 binary64))))
#s(approx (/ (* (sqrt (exp a)) (sqrt (exp a))) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (/ (* (sqrt (exp a)) (sqrt (exp a))) (+ (exp a) (exp b))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (/ (* (sqrt (exp a)) (sqrt (exp a))) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (* (sqrt (exp a)) (sqrt (exp a))) (+ (exp a) (exp b))) (/.f64 (fma.f64 (neg.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (/ (* (sqrt (exp a)) (sqrt (exp a))) (+ (exp a) (exp b))) #s(hole 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))))))
#s(approx (/ (* (sqrt (exp a)) (sqrt (exp a))) (+ (exp a) (exp b))) (fma.f64 (-.f64 (*.f64 (neg.f64 b) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1/2 binary64)))) (/.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)))))
#s(approx (/ (* (sqrt (exp a)) (sqrt (exp a))) (+ (exp a) (exp b))) #s(hole 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))))))
#s(approx (/ (* (sqrt (exp a)) (sqrt (exp a))) (+ (exp a) (exp b))) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (neg.f64 b) (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)))) (neg.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1/2 binary64)))))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1/2 binary64)))) 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)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (/ (* (sqrt (exp a)) (sqrt (exp a))) (+ (exp a) (exp b))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (* (sqrt (exp a)) (sqrt (exp a))) (+ (exp a) (exp b))) (/.f64 (fma.f64 (neg.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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))))))
#s(approx (/ (* (sqrt (exp a)) (sqrt (exp a))) (+ (exp a) (exp b))) (fma.f64 (-.f64 (*.f64 (neg.f64 b) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1/2 binary64)))) (/.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)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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))))))
#s(approx (/ (* (sqrt (exp a)) (sqrt (exp a))) (+ (exp a) (exp b))) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (neg.f64 b) (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)))) (neg.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1/2 binary64)))))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1/2 binary64)))) 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)))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 1/2))
#s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* -1/4 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)) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#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)) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))))
#s(approx (/ 1 (- (exp b) -1)) (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)))
#s(approx (- (exp b) -1) #s(hole binary64 2))
#s(approx (- (exp b) -1) #s(literal 2 binary64))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 b)))
#s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#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) #s(hole binary64 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#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) #s(hole binary64 1))
#s(approx (exp b) #s(literal 1 binary64))
#s(approx (exp b) #s(hole binary64 (+ 1 b)))
#s(approx (exp b) (+.f64 #s(literal 1 binary64) b))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (exp 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)))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (exp a) (exp b)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a)))))
#s(approx (+ (exp a) (exp b)) (+.f64 (+.f64 (exp.f64 a) b) #s(literal 1 binary64)))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (+ (exp a) (exp 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))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (/.f64 (fma.f64 (neg.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) #s(hole binary64 (exp a)))
#s(approx (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (exp.f64 a))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ 1 (- (exp b) -1)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 1 (exp b))))
#s(approx (- (exp b) -1) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (exp b) (exp.f64 b))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2)))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (*.f64 (neg.f64 (exp.f64 a)) (/.f64 b (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a))))))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (*.f64 (/.f64 (fma.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1 binary64) (/.f64 (exp.f64 a) b)) (+.f64 #s(literal 1 binary64) (exp.f64 a))) b))
#s(approx (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) #s(hole binary64 (* -1 (/ (* b (exp a)) (+ 1 (exp a))))))
#s(approx (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (*.f64 (neg.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) #s(hole binary64 (* b (+ (* -1 (/ (exp a) (+ 1 (exp a)))) (/ (exp a) b)))))
#s(approx (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (*.f64 (neg.f64 b) (-.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (exp.f64 a) b))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (*.f64 (/.f64 (fma.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1 binary64) (/.f64 (exp.f64 a) b)) (+.f64 #s(literal 1 binary64) (exp.f64 a))) b))
#s(approx (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ (exp a) b)) (/ (exp a) (+ 1 (exp a))))))))
#s(approx (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (*.f64 (neg.f64 b) (-.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (exp.f64 a) b))))

rewrite86.0ms (1.6%)

Memory
-4.4MiB live, 85.7MiB allocated; 16ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033195
058185
1199185
01509185
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
22 → 255
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)))
(/.f64 (*.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a))) (+.f64 (exp.f64 a) (exp.f64 b)))
(sqrt.f64 (exp.f64 a))
(exp.f64 a)
#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) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))
#s(approx (exp b) #s(literal 1 binary64))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 (exp.f64 a) (exp.f64 b)))
#s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
(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))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (fma.f64 (neg.f64 (exp.f64 a)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (exp.f64 a)) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(/.f64 (fma.f64 (neg.f64 (exp.f64 a)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (exp.f64 a)) (-.f64 (exp.f64 a) #s(literal -1 binary64)))
(fma.f64 (neg.f64 (exp.f64 a)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (exp.f64 a))
(neg.f64 (exp.f64 a))
(+.f64 (exp.f64 a) (exp.f64 b))
(fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64))
(/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))
Outputs
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (exp.f64 a)))) (neg.f64 (neg.f64 (sqrt.f64 (exp.f64 a)))))
(*.f64 (neg.f64 (sqrt.f64 (exp.f64 a))) (neg.f64 (sqrt.f64 (exp.f64 a))))
(*.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)))
(pow.f64 (neg.f64 (sqrt.f64 (exp.f64 a))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (exp.f64 a)) #s(literal 2 binary64))
(pow.f64 (exp.f64 a) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 a) (cosh.f64 a)) (*.f64 (sinh.f64 a) (sinh.f64 a))) (-.f64 (cosh.f64 a) (sinh.f64 a)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 a) #s(literal 3 binary64)) (pow.f64 (sinh.f64 a) #s(literal 3 binary64))) (fma.f64 (cosh.f64 a) (cosh.f64 a) (-.f64 (*.f64 (sinh.f64 a) (sinh.f64 a)) (*.f64 (cosh.f64 a) (sinh.f64 a)))))
(neg.f64 (neg.f64 (exp.f64 a)))
(sqrt.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)))
(fabs.f64 (exp.f64 a))
(exp.f64 (+.f64 (/.f64 a #s(literal 2 binary64)) (/.f64 a #s(literal 2 binary64))))
(exp.f64 (*.f64 (/.f64 a #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (exp.f64 a))) #s(literal 2 binary64)))
(exp.f64 a)
(+.f64 (sinh.f64 a) (cosh.f64 a))
(+.f64 (cosh.f64 a) (sinh.f64 a))
(*.f64 (/.f64 (exp.f64 a) (-.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 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 (exp.f64 b) (exp.f64 a))) (sqrt.f64 (exp.f64 a)))
(*.f64 (neg.f64 (sqrt.f64 (exp.f64 a))) (/.f64 (neg.f64 (sqrt.f64 (exp.f64 a))) (+.f64 (exp.f64 b) (exp.f64 a))))
(*.f64 (sqrt.f64 (exp.f64 a)) (/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 (exp.f64 b) (exp.f64 a))))
(/.f64 (neg.f64 (exp.f64 a)) (neg.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(/.f64 (exp.f64 a) (neg.f64 (neg.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(neg.f64 (/.f64 (neg.f64 (exp.f64 a)) (+.f64 (exp.f64 b) (exp.f64 a))))
(neg.f64 (/.f64 (exp.f64 a) (neg.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(+.f64 (/.f64 (cosh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) (/.f64 (sinh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))))
(*.f64 (pow.f64 (exp.f64 a) #s(literal 1/4 binary64)) (pow.f64 (exp.f64 a) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (exp.f64 a)))) (sqrt.f64 (neg.f64 (sqrt.f64 (exp.f64 a)))))
(*.f64 (sqrt.f64 (sqrt.f64 (exp.f64 a))) (sqrt.f64 (sqrt.f64 (exp.f64 a))))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (exp.f64 a))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (exp.f64 a))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 a)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (exp.f64 a)) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (exp.f64 a)) #s(literal 1 binary64))
(pow.f64 (exp.f64 a) #s(literal 1/2 binary64))
(sqrt.f64 (exp.f64 a))
(fabs.f64 (neg.f64 (sqrt.f64 (exp.f64 a))))
(fabs.f64 (sqrt.f64 (exp.f64 a)))
(exp.f64 (*.f64 a #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 a)) #s(literal 1/2 binary64)))
(exp.f64 (/.f64 a #s(literal 2 binary64)))
(+.f64 (cosh.f64 (/.f64 a #s(literal 2 binary64))) (sinh.f64 (/.f64 a #s(literal 2 binary64))))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (exp.f64 a)))) (neg.f64 (neg.f64 (sqrt.f64 (exp.f64 a)))))
(*.f64 (neg.f64 (sqrt.f64 (exp.f64 a))) (neg.f64 (sqrt.f64 (exp.f64 a))))
(*.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)))
(pow.f64 (neg.f64 (sqrt.f64 (exp.f64 a))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (exp.f64 a)) #s(literal 2 binary64))
(pow.f64 (exp.f64 a) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 a) (cosh.f64 a)) (*.f64 (sinh.f64 a) (sinh.f64 a))) (-.f64 (cosh.f64 a) (sinh.f64 a)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 a) #s(literal 3 binary64)) (pow.f64 (sinh.f64 a) #s(literal 3 binary64))) (fma.f64 (cosh.f64 a) (cosh.f64 a) (-.f64 (*.f64 (sinh.f64 a) (sinh.f64 a)) (*.f64 (cosh.f64 a) (sinh.f64 a)))))
(neg.f64 (neg.f64 (exp.f64 a)))
(sqrt.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)))
(fabs.f64 (exp.f64 a))
(exp.f64 (+.f64 (/.f64 a #s(literal 2 binary64)) (/.f64 a #s(literal 2 binary64))))
(exp.f64 (*.f64 (/.f64 a #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (exp.f64 a))) #s(literal 2 binary64)))
(exp.f64 a)
(+.f64 (sinh.f64 a) (cosh.f64 a))
(+.f64 (cosh.f64 a) (sinh.f64 a))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 b b))) (+.f64 #s(literal -1 binary64) (exp.f64 b)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (exp.f64 b)) (pow.f64 (exp.f64 b) #s(literal 2 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 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))
(pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -1 binary64)))
(/.f64 (neg.f64 (expm1.f64 (+.f64 b b))) (neg.f64 (+.f64 #s(literal -1 binary64) (exp.f64 b))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (exp.f64 b)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))))
(/.f64 (expm1.f64 (+.f64 b b)) (+.f64 #s(literal -1 binary64) (exp.f64 b)))
(/.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (exp.f64 b)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (exp.f64 b))))
(-.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (exp.f64 b)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (exp.f64 b)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))))
(-.f64 (exp.f64 b) #s(literal -1 binary64))
(+.f64 (cosh.f64 b) (-.f64 (sinh.f64 b) #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 (cosh.f64 b) (cosh.f64 b)) (*.f64 (sinh.f64 b) (sinh.f64 b))) (-.f64 (cosh.f64 b) (sinh.f64 b)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 b) #s(literal 3 binary64)) (pow.f64 (sinh.f64 b) #s(literal 3 binary64))) (fma.f64 (cosh.f64 b) (cosh.f64 b) (-.f64 (*.f64 (sinh.f64 b) (sinh.f64 b)) (*.f64 (cosh.f64 b) (sinh.f64 b)))))
(exp.f64 b)
(+.f64 (sinh.f64 b) (cosh.f64 b))
(+.f64 (cosh.f64 b) (sinh.f64 b))
(*.f64 (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(*.f64 (/.f64 (exp.f64 a) (+.f64 (pow.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (-.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))
(*.f64 (neg.f64 (sqrt.f64 (exp.f64 a))) (/.f64 (neg.f64 (sqrt.f64 (exp.f64 a))) (+.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a))))
(*.f64 (sqrt.f64 (exp.f64 a)) (/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a))))
(/.f64 (neg.f64 (exp.f64 a)) (neg.f64 (+.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a))))
(/.f64 (exp.f64 a) (neg.f64 (neg.f64 (+.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a)))))
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a)))
(neg.f64 (/.f64 (neg.f64 (exp.f64 a)) (+.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a))))
(neg.f64 (/.f64 (exp.f64 a) (neg.f64 (+.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a)))))
(+.f64 (/.f64 (cosh.f64 a) (+.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a))) (/.f64 (sinh.f64 a) (+.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a))))
(/.f64 (-.f64 (pow.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (-.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (-.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a)))))
(/.f64 (+.f64 (pow.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (-.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))
(fma.f64 (neg.f64 (neg.f64 (sqrt.f64 (exp.f64 a)))) (neg.f64 (neg.f64 (sqrt.f64 (exp.f64 a)))) #s(approx (exp b) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (sqrt.f64 (exp.f64 a))) (neg.f64 (sqrt.f64 (exp.f64 a))) #s(approx (exp b) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) #s(approx (exp b) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) (/.f64 (pow.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))))
(-.f64 #s(approx (exp b) #s(literal 1 binary64)) (neg.f64 (exp.f64 a)))
(+.f64 (+.f64 #s(approx (exp b) #s(literal 1 binary64)) (cosh.f64 a)) (sinh.f64 a))
(+.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (-.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (/.f64 (pow.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (-.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))
(+.f64 (cosh.f64 a) (+.f64 (sinh.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(+.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a))
(+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))
#s(approx (exp b) #s(literal 1 binary64))
(*.f64 (/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (-.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 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))))) (neg.f64 (neg.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(/.f64 (neg.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))) (neg.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 (exp.f64 b) (exp.f64 a)))
(neg.f64 (/.f64 (neg.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))) (+.f64 (exp.f64 b) (exp.f64 a))))
(neg.f64 (/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (neg.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
#s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.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))) (neg.f64 (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))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a))))
(/.f64 (-.f64 (pow.f64 (*.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)) (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)))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.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 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a))))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a) #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a)))
(fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a) #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
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(fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) (*.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (neg.f64 (exp.f64 a))))
(fma.f64 (exp.f64 a) (neg.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))) (exp.f64 a))
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (neg.f64 (exp.f64 a))) #s(literal 2 binary64)) (fma.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (neg.f64 (exp.f64 a)) (neg.f64 (exp.f64 a)))) (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (fma.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (neg.f64 (exp.f64 a)) (neg.f64 (exp.f64 a)))))
(-.f64 (*.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (neg.f64 (exp.f64 a))) (neg.f64 (exp.f64 a)))
(-.f64 (exp.f64 a) (*.f64 (neg.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))) (neg.f64 (exp.f64 a))))
(-.f64 (exp.f64 a) (*.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (exp.f64 a)))
(+.f64 (fma.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (neg.f64 (exp.f64 a)) (cosh.f64 a)) (sinh.f64 a))
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (neg.f64 (exp.f64 a))) #s(literal 3 binary64)) (fma.f64 (exp.f64 a) (-.f64 (exp.f64 a) (*.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (neg.f64 (exp.f64 a)))) (pow.f64 (*.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (neg.f64 (exp.f64 a))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (fma.f64 (exp.f64 a) (-.f64 (exp.f64 a) (*.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (neg.f64 (exp.f64 a)))) (pow.f64 (*.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (neg.f64 (exp.f64 a))) #s(literal 2 binary64)))))
(+.f64 (cosh.f64 a) (+.f64 (sinh.f64 a) (*.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (neg.f64 (exp.f64 a)))))
(+.f64 (*.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (neg.f64 (exp.f64 a))) (exp.f64 a))
(+.f64 (exp.f64 a) (*.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (neg.f64 (exp.f64 a))))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (exp.f64 a)))) (neg.f64 (sqrt.f64 (exp.f64 a))))
(*.f64 (neg.f64 (sqrt.f64 (exp.f64 a))) (neg.f64 (neg.f64 (sqrt.f64 (exp.f64 a)))))
(*.f64 (neg.f64 (sqrt.f64 (exp.f64 a))) (sqrt.f64 (exp.f64 a)))
(*.f64 (sqrt.f64 (exp.f64 a)) (neg.f64 (sqrt.f64 (exp.f64 a))))
(neg.f64 (exp.f64 a))
(+.f64 (neg.f64 (cosh.f64 a)) (neg.f64 (sinh.f64 a)))
(/.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 (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 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (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))) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))) (fma.f64 (exp.f64 b) (exp.f64 b) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (exp.f64 (+.f64 a b)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))) (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))
(fma.f64 (neg.f64 (neg.f64 (sqrt.f64 (exp.f64 a)))) (neg.f64 (neg.f64 (sqrt.f64 (exp.f64 a)))) (exp.f64 b))
(fma.f64 (neg.f64 (sqrt.f64 (exp.f64 a))) (neg.f64 (sqrt.f64 (exp.f64 a))) (exp.f64 b))
(fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) (exp.f64 b))
(-.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 (exp.f64 b) (neg.f64 (exp.f64 a)))
(+.f64 (+.f64 (exp.f64 b) (cosh.f64 a)) (sinh.f64 a))
(+.f64 (+.f64 (exp.f64 a) (cosh.f64 b)) (sinh.f64 b))
(+.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (/.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))
(+.f64 (cosh.f64 a) (+.f64 (sinh.f64 a) (exp.f64 b)))
(+.f64 (cosh.f64 b) (+.f64 (sinh.f64 b) (exp.f64 a)))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 a) (exp.f64 b))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) a) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) a)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 a a) #s(literal -1/4 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) a) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 a #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 a a) (-.f64 #s(literal 1/4 binary64) (*.f64 a #s(literal 1/12 binary64))))))
(/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 a a) #s(literal -1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) a) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 a #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) a) #s(literal 2 binary64)) (*.f64 a #s(literal 1/12 binary64)))))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 a #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 a a) (-.f64 #s(literal 1/4 binary64) (*.f64 a #s(literal 1/12 binary64)))))
(fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64))
(fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) a) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) a) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/6 binary64) a) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) a))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 a) #s(literal 1/6 binary64)))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) a) #s(literal 3 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 a a) (-.f64 #s(literal 1/4 binary64) (*.f64 a #s(literal 1/12 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/36 binary64) (*.f64 a a) (-.f64 #s(literal 1/4 binary64) (*.f64 a #s(literal 1/12 binary64))))))
(+.f64 (*.f64 #s(literal 1/6 binary64) a) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) a))
(*.f64 (/.f64 b (expm1.f64 (+.f64 a a))) (+.f64 #s(literal -1 binary64) (exp.f64 a)))
(*.f64 (/.f64 b (-.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
(/.f64 (neg.f64 b) (neg.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))
(neg.f64 (/.f64 (neg.f64 b) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(neg.f64 (/.f64 b (neg.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)))))

eval51.0ms (0.9%)

Memory
-5.9MiB live, 97.3MiB allocated; 19ms collecting garbage
Compiler

Compiled 10 108 to 1 426 computations (85.9% saved)

prune13.0ms (0.2%)

Memory
40.9MiB live, 40.9MiB allocated; 0ms collecting garbage
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New3729381
Fresh000
Picked325
Done000
Total37511386
Accuracy
99.4%
Counts
386 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓62.4%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
▶35.4%
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
✓80.8%
#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)))))
51.4%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
▶33.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
▶80.4%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (*.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))))
33.5%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) b #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (fma.f64 (-.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/16 binary64) b)) (*.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) #s(literal 1/4 binary64) (fma.f64 #s(literal -1/48 binary64) b #s(literal 1/24 binary64))))) a (-.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/16 binary64) b)) (*.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))) a (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
▶33.5%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
33.2%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
▶35.4%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
Compiler

Compiled 641 to 366 computations (42.9% saved)

simplify147.0ms (2.7%)

Memory
-34.5MiB live, 200.7MiB allocated; 20ms collecting garbage
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64))
cost-diff0
(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))
cost-diff0
#s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
cost-diff0
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
cost-diff0
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) a (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 (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
cost-diff1
(fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
cost-diff8
(-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)))
cost-diff0
(+.f64 #s(literal 2 binary64) b)
cost-diff0
#s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)))
cost-diff0
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
cost-diff0
#s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64))
cost-diff0
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
cost-diff0
(-.f64 (exp.f64 b) #s(literal -1 binary64))
cost-diff0
(pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64))
cost-diff0
#s(approx (/ (exp a) (+ (exp a) (exp b))) (*.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))))
cost-diff7
(*.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)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049310
075288
1121286
2296262
3923262
45207262
08222259
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (*.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 (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)))
(pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(-.f64 (exp.f64 b) #s(literal -1 binary64))
(exp.f64 b)
b
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(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))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
(fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
(-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)))
(fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64))
#s(literal -1/8 binary64)
b
#s(literal 1/2 binary64)
(fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
a
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
#s(literal -1/4 binary64)
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
(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))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
a
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))
(exp.f64 a)
#s(approx (exp b) #s(literal 1 binary64))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (*.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))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (-.f64 (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)))
(pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(-.f64 (exp.f64 b) #s(literal -1 binary64))
(exp.f64 b)
b
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(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))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (fma.f64 #s(literal -1/4 binary64) (-.f64 b a) #s(literal 1/2 binary64))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (fma.f64 #s(literal -1/4 binary64) (-.f64 b a) #s(literal 1/2 binary64)))
(fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/4 binary64) (-.f64 b a) #s(literal 1/2 binary64))
(-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)))
#s(literal 1/4 binary64)
(fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64))
#s(literal -1/8 binary64)
b
#s(literal 1/2 binary64)
(fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
a
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
#s(literal -1/4 binary64)
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a)))
#s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
(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))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
a
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))
(+.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a))
(exp.f64 a)
#s(approx (exp b) #s(literal 1 binary64))

localize255.0ms (4.6%)

Memory
24.9MiB live, 370.4MiB allocated; 35ms collecting garbage
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.09765625
(fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64))
accuracy1.2343846281741149
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
accuracy18.41006580380919
#s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
accuracy31.297431182360345
#s(approx (exp b) #s(literal 1 binary64))
accuracy0.0
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
accuracy18.60148118498916
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
accuracy24.843534667385672
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
accuracy29.31897558694406
(-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)))
accuracy0.0
(+.f64 #s(literal 2 binary64) b)
accuracy0.0078125
(/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)))
accuracy12.28047601598185
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
accuracy30.56984576057933
#s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))
accuracy12.28047601598185
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
accuracy29.46778477005332
#s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64))
accuracy0.00390625
(pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64))
accuracy0.00390625
(-.f64 (exp.f64 b) #s(literal -1 binary64))
accuracy0.5
(*.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)))
accuracy12.28047601598185
#s(approx (/ (exp a) (+ (exp a) (exp b))) (*.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))))
Samples
168.0ms118×1valid
59.0ms138×0valid
Compiler

Compiled 204 to 42 computations (79.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 194.0ms
ival-sub: 66.0ms (33.9% of total)
ival-add: 27.0ms (13.9% of total)
adjust: 26.0ms (13.4% of total)
ival-mult: 23.0ms (11.8% of total)
ival-exp: 23.0ms (11.8% of total)
ival-pow: 13.0ms (6.7% of total)
ival-div: 9.0ms (4.6% of total)
const: 4.0ms (2.1% of total)
ival-neg: 2.0ms (1% of total)
exact: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series36.0ms (0.7%)

Memory
-10.8MiB live, 34.3MiB allocated; 9ms collecting garbage
Counts
21 → 88
Calls
Call 1
Inputs
(*.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)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (*.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))))
(pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(-.f64 (exp.f64 b) #s(literal -1 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
#s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)))
#s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))
(+.f64 #s(literal 2 binary64) b)
(-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)))
(fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
(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))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
#s(approx (exp b) #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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))))))
#s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* 1/4 a)))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (* 1/2 (+ 1 (* -1/2 b)))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* 1/4 (+ 1 (* -1/2 b))))))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* a (- (* 1/2 (+ 1/2 (* -1 (- (* 1/4 b) (+ (* 1/8 b) (* 1/2 (- (* 1/2 b) (* 1/4 b)))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b))))))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* a (- (+ (* 1/2 (+ 1/2 (* -1 (- (* 1/4 b) (+ (* 1/8 b) (* 1/2 (- (* 1/2 b) (* 1/4 b)))))))) (* a (- (* 1/2 (+ 1/6 (* -1 (- (* 1/12 b) (+ (* 1/24 b) (+ (* 1/4 (- (* 1/2 b) (* 1/4 b))) (* 1/2 (- (* 1/4 b) (+ (* 1/8 b) (* 1/2 (- (* 1/2 b) (* 1/4 b)))))))))))) (+ (* 1/24 (+ 1 (* -1/2 b))) (+ (* 1/4 (- (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* 1/4 (+ 1 (* -1/2 b))))) (* 1/2 (- (* 1/2 (+ 1/2 (* -1 (- (* 1/4 b) (+ (* 1/8 b) (* 1/2 (- (* 1/2 b) (* 1/4 b)))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* 1/4 (+ 1 (* -1/2 b))))))))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b))))))))
#s(approx (exp a) #s(hole binary64 1))
#s(approx (exp a) #s(hole binary64 (+ 1 a)))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (+ 1 a)))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (+ 1 (* 1/2 a))))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (+ 1 (* a (+ 1/2 (* 1/6 a))))))
#s(approx (+ (* 1/6 a) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/6 a) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ (exp a) (exp b)))))
#s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (* 1/4 a)))
#s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (* a (+ 1/4 (+ (* -1/4 (/ b a)) (* 1/2 (/ 1 a)))))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (/ (+ (exp a) (* -1 (/ (* b (exp a)) (+ 1 (exp a))))) (+ 1 (exp a)))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* 1/6 (pow a 3))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* (pow a 3) (+ 1/6 (* 1/2 (/ 1 a))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* (pow a 3) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* (pow a 3) (+ 1/6 (+ (* 1/2 (/ 1 a)) (+ (/ 1 (pow a 2)) (/ 1 (pow a 3))))))))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (* 1/6 (pow a 2))))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (* (pow a 2) (+ 1/6 (* 1/2 (/ 1 a))))))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (* (pow a 2) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2)))))))
#s(approx (+ (* 1/6 a) 1/2) #s(hole binary64 (* 1/6 a)))
#s(approx (+ (* 1/6 a) 1/2) #s(hole binary64 (* a (+ 1/6 (* 1/2 (/ 1 a))))))
#s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (+ 1/2 (* -1/4 b)) a)) 1/4)))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* -1 (* (pow a 3) (- (* -1 (/ (+ 1/2 (/ 1 a)) a)) 1/6)))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* -1 (* (pow a 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))) a)) 1/6)))))
#s(approx (* (pow (- (exp b) -1) -1/2) (pow (- (exp b) -1) -1/2)) #s(hole binary64 1/2))
#s(approx (* (pow (- (exp b) -1) -1/2) (pow (- (exp b) -1) -1/2)) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (* (pow (- (exp b) -1) -1/2) (pow (- (exp b) -1) -1/2)) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (* (pow (- (exp b) -1) -1/2) (pow (- (exp b) -1) -1/2)) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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))))))
#s(approx (pow (- (exp b) -1) -1/2) #s(hole binary64 (sqrt 1/2)))
#s(approx (pow (- (exp b) -1) -1/2) #s(hole binary64 (+ (sqrt 1/2) (* -1/8 (/ b (sqrt 1/2))))))
#s(approx (pow (- (exp b) -1) -1/2) #s(hole binary64 (+ (sqrt 1/2) (* b (- (* -1/128 (/ b (pow (sqrt 1/2) 3))) (* 1/8 (/ 1 (sqrt 1/2))))))))
#s(approx (pow (- (exp b) -1) -1/2) #s(hole binary64 (+ (sqrt 1/2) (* b (- (* b (- (* 1/2 (/ (* b (- 1/48 (* 1/512 (/ 1 (pow (sqrt 1/2) 4))))) (sqrt 1/2))) (* 1/128 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/8 (/ 1 (sqrt 1/2))))))))
#s(approx (- (exp b) -1) #s(hole binary64 2))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 b)))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 1/2))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))))
#s(approx (+ 2 b) #s(hole binary64 2))
#s(approx (+ 2 b) #s(hole binary64 (+ 2 b)))
#s(approx (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) #s(hole binary64 1/4))
#s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (+ 1/2 (* 1/4 a))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (exp b) #s(hole binary64 1))
#s(approx (exp b) #s(hole binary64 (+ 1 b)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (* (pow (- (exp b) -1) -1/2) (pow (- (exp b) -1) -1/2)) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (pow (- (exp b) -1) -1/2) #s(hole binary64 (sqrt (/ 1 (+ 1 (exp b))))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 1 (exp b))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (+ 2 b) #s(hole binary64 b))
#s(approx (+ 2 b) #s(hole binary64 (* b (+ 1 (* 2 (/ 1 b))))))
#s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (* -1/4 b)))
#s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (* b (- (+ (* 1/4 (/ a b)) (* 1/2 (/ 1 b))) 1/4))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2)))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a))))))))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (* -1/4 b)))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (* b (- (* 1/2 (/ 1 b)) 1/4))))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (* -1 (* b (+ 1/4 (* -1 (/ (+ 1/2 (* 1/4 a)) b)))))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))))))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))))
Calls

6 calls:

TimeVariablePointExpression
20.0ms
a
@-inf
((* (pow (- (exp b) -1) -1/2) (pow (- (exp b) -1) -1/2)) (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1/2) (- (exp b) -1) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ 2 b) (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (/ (exp a) (+ (exp a) (exp b))) (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (+ (* (+ (* 1/6 a) 1/2) a) 1) (+ (* -1/4 b) 1/2) (exp b) (+ (* 1/6 a) 1/2))
5.0ms
b
@0
((* (pow (- (exp b) -1) -1/2) (pow (- (exp b) -1) -1/2)) (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1/2) (- (exp b) -1) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ 2 b) (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (/ (exp a) (+ (exp a) (exp b))) (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (+ (* (+ (* 1/6 a) 1/2) a) 1) (+ (* -1/4 b) 1/2) (exp b) (+ (* 1/6 a) 1/2))
2.0ms
b
@inf
((* (pow (- (exp b) -1) -1/2) (pow (- (exp b) -1) -1/2)) (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1/2) (- (exp b) -1) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ 2 b) (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (/ (exp a) (+ (exp a) (exp b))) (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (+ (* (+ (* 1/6 a) 1/2) a) 1) (+ (* -1/4 b) 1/2) (exp b) (+ (* 1/6 a) 1/2))
2.0ms
b
@-inf
((* (pow (- (exp b) -1) -1/2) (pow (- (exp b) -1) -1/2)) (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1/2) (- (exp b) -1) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ 2 b) (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (/ (exp a) (+ (exp a) (exp b))) (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (+ (* (+ (* 1/6 a) 1/2) a) 1) (+ (* -1/4 b) 1/2) (exp b) (+ (* 1/6 a) 1/2))
2.0ms
a
@inf
((* (pow (- (exp b) -1) -1/2) (pow (- (exp b) -1) -1/2)) (/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1/2) (- (exp b) -1) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ 2 b) (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (/ (exp a) (+ (exp a) (exp b))) (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (+ (* (+ (* 1/6 a) 1/2) a) 1) (+ (* -1/4 b) 1/2) (exp b) (+ (* 1/6 a) 1/2))

simplify197.0ms (3.6%)

Memory
-0.8MiB live, 283.2MiB allocated; 50ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04042150
110871994
242451742
089161591
Stop Event
1×iter limit
1×node limit
Counts
88 → 88
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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))))))
#s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* 1/4 a)))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (* 1/2 (+ 1 (* -1/2 b)))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* 1/4 (+ 1 (* -1/2 b))))))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* a (- (* 1/2 (+ 1/2 (* -1 (- (* 1/4 b) (+ (* 1/8 b) (* 1/2 (- (* 1/2 b) (* 1/4 b)))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b))))))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* a (- (+ (* 1/2 (+ 1/2 (* -1 (- (* 1/4 b) (+ (* 1/8 b) (* 1/2 (- (* 1/2 b) (* 1/4 b)))))))) (* a (- (* 1/2 (+ 1/6 (* -1 (- (* 1/12 b) (+ (* 1/24 b) (+ (* 1/4 (- (* 1/2 b) (* 1/4 b))) (* 1/2 (- (* 1/4 b) (+ (* 1/8 b) (* 1/2 (- (* 1/2 b) (* 1/4 b)))))))))))) (+ (* 1/24 (+ 1 (* -1/2 b))) (+ (* 1/4 (- (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* 1/4 (+ 1 (* -1/2 b))))) (* 1/2 (- (* 1/2 (+ 1/2 (* -1 (- (* 1/4 b) (+ (* 1/8 b) (* 1/2 (- (* 1/2 b) (* 1/4 b)))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* 1/4 (+ 1 (* -1/2 b))))))))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b))))))))
#s(approx (exp a) #s(hole binary64 1))
#s(approx (exp a) #s(hole binary64 (+ 1 a)))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (+ 1 a)))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (+ 1 (* 1/2 a))))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (+ 1 (* a (+ 1/2 (* 1/6 a))))))
#s(approx (+ (* 1/6 a) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/6 a) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ (exp a) (exp b)))))
#s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (* 1/4 a)))
#s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (* a (+ 1/4 (+ (* -1/4 (/ b a)) (* 1/2 (/ 1 a)))))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (/ (+ (exp a) (* -1 (/ (* b (exp a)) (+ 1 (exp a))))) (+ 1 (exp a)))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* 1/6 (pow a 3))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* (pow a 3) (+ 1/6 (* 1/2 (/ 1 a))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* (pow a 3) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* (pow a 3) (+ 1/6 (+ (* 1/2 (/ 1 a)) (+ (/ 1 (pow a 2)) (/ 1 (pow a 3))))))))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (* 1/6 (pow a 2))))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (* (pow a 2) (+ 1/6 (* 1/2 (/ 1 a))))))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (* (pow a 2) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2)))))))
#s(approx (+ (* 1/6 a) 1/2) #s(hole binary64 (* 1/6 a)))
#s(approx (+ (* 1/6 a) 1/2) #s(hole binary64 (* a (+ 1/6 (* 1/2 (/ 1 a))))))
#s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (+ 1/2 (* -1/4 b)) a)) 1/4)))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* -1 (* (pow a 3) (- (* -1 (/ (+ 1/2 (/ 1 a)) a)) 1/6)))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* -1 (* (pow a 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))) a)) 1/6)))))
#s(approx (* (pow (- (exp b) -1) -1/2) (pow (- (exp b) -1) -1/2)) #s(hole binary64 1/2))
#s(approx (* (pow (- (exp b) -1) -1/2) (pow (- (exp b) -1) -1/2)) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (* (pow (- (exp b) -1) -1/2) (pow (- (exp b) -1) -1/2)) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (* (pow (- (exp b) -1) -1/2) (pow (- (exp b) -1) -1/2)) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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))))))
#s(approx (pow (- (exp b) -1) -1/2) #s(hole binary64 (sqrt 1/2)))
#s(approx (pow (- (exp b) -1) -1/2) #s(hole binary64 (+ (sqrt 1/2) (* -1/8 (/ b (sqrt 1/2))))))
#s(approx (pow (- (exp b) -1) -1/2) #s(hole binary64 (+ (sqrt 1/2) (* b (- (* -1/128 (/ b (pow (sqrt 1/2) 3))) (* 1/8 (/ 1 (sqrt 1/2))))))))
#s(approx (pow (- (exp b) -1) -1/2) #s(hole binary64 (+ (sqrt 1/2) (* b (- (* b (- (* 1/2 (/ (* b (- 1/48 (* 1/512 (/ 1 (pow (sqrt 1/2) 4))))) (sqrt 1/2))) (* 1/128 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/8 (/ 1 (sqrt 1/2))))))))
#s(approx (- (exp b) -1) #s(hole binary64 2))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 b)))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 1/2))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))))
#s(approx (+ 2 b) #s(hole binary64 2))
#s(approx (+ 2 b) #s(hole binary64 (+ 2 b)))
#s(approx (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) #s(hole binary64 1/4))
#s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (+ 1/2 (* 1/4 a))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (exp b) #s(hole binary64 1))
#s(approx (exp b) #s(hole binary64 (+ 1 b)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (* (pow (- (exp b) -1) -1/2) (pow (- (exp b) -1) -1/2)) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (pow (- (exp b) -1) -1/2) #s(hole binary64 (sqrt (/ 1 (+ 1 (exp b))))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 1 (exp b))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (+ 2 b) #s(hole binary64 b))
#s(approx (+ 2 b) #s(hole binary64 (* b (+ 1 (* 2 (/ 1 b))))))
#s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (* -1/4 b)))
#s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (* b (- (+ (* 1/4 (/ a b)) (* 1/2 (/ 1 b))) 1/4))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2)))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a))))))))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (* -1/4 b)))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (* b (- (* 1/2 (/ 1 b)) 1/4))))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (* -1 (* b (+ 1/4 (* -1 (/ (+ 1/2 (* 1/4 a)) b)))))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))))))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 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 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (fma.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -3/2 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))) a (-.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 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 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (fma.f64 (+.f64 (fma.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1/6 binary64)) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 3 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 4 binary64)))))) a (/.f64 (+.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -3/2 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))) a (-.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 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 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))))
#s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
#s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* 1/4 a)))))
#s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal -1/4 binary64) (-.f64 b a) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (* 1/2 (+ 1 (* -1/2 b)))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* 1/4 (+ 1 (* -1/2 b))))))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (fma.f64 #s(literal -1/4 binary64) (-.f64 b a) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* a (- (* 1/2 (+ 1/2 (* -1 (- (* 1/4 b) (+ (* 1/8 b) (* 1/2 (- (* 1/2 b) (* 1/4 b)))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b))))))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (fma.f64 (fma.f64 (-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -1/16 binary64) b #s(literal 1/8 binary64))) a #s(literal 1/4 binary64)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* a (- (+ (* 1/2 (+ 1/2 (* -1 (- (* 1/4 b) (+ (* 1/8 b) (* 1/2 (- (* 1/2 b) (* 1/4 b)))))))) (* a (- (* 1/2 (+ 1/6 (* -1 (- (* 1/12 b) (+ (* 1/24 b) (+ (* 1/4 (- (* 1/2 b) (* 1/4 b))) (* 1/2 (- (* 1/4 b) (+ (* 1/8 b) (* 1/2 (- (* 1/2 b) (* 1/4 b)))))))))))) (+ (* 1/24 (+ 1 (* -1/2 b))) (+ (* 1/4 (- (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* 1/4 (+ 1 (* -1/2 b))))) (* 1/2 (- (* 1/2 (+ 1/2 (* -1 (- (* 1/4 b) (+ (* 1/8 b) (* 1/2 (- (* 1/2 b) (* 1/4 b)))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* 1/4 (+ 1 (* -1/2 b))))))))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b))))))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/12 binary64)) (fma.f64 (-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -1/16 binary64) b #s(literal 1/8 binary64))) #s(literal 1/2 binary64) (+.f64 #s(literal 5/48 binary64) (*.f64 #s(literal -1/48 binary64) b)))) a (-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -1/16 binary64) b #s(literal 1/8 binary64)))) a #s(literal 1/4 binary64)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (exp a) #s(hole binary64 1))
#s(approx (exp a) #s(literal 1 binary64))
#s(approx (exp a) #s(hole binary64 (+ 1 a)))
#s(approx (exp a) (+.f64 #s(literal 1 binary64) a))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#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) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (+ 1 a)))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (+.f64 #s(literal 1 binary64) a))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) 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)))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (+ 1 (* 1/2 a))))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (+ 1 (* a (+ 1/2 (* 1/6 a))))))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)))
#s(approx (+ (* 1/6 a) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/6 a) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* 1/6 a) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 a))))
#s(approx (+ (* 1/6 a) 1/2) (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ (exp a) (exp b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))))
#s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (* 1/4 a)))
#s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal 1/4 binary64) a))
#s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (* a (+ 1/4 (+ (* -1/4 (/ b a)) (* 1/2 (/ 1 a)))))))
#s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 (fma.f64 (/.f64 b a) #s(literal -1/4 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (/ (+ (exp a) (* -1 (/ (* b (exp a)) (+ 1 (exp a))))) (+ 1 (exp a)))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (/.f64 (fma.f64 (/.f64 b (fma.f64 #s(literal -1 binary64) (exp.f64 a) #s(literal -1 binary64))) (exp.f64 a) (exp.f64 a)) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (exp a) (exp.f64 a))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* 1/6 (pow a 3))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* (pow a 3) (+ 1/6 (* 1/2 (/ 1 a))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (*.f64 (*.f64 a a) (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* (pow a 3) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* (pow a 3) (+ 1/6 (+ (* 1/2 (/ 1 a)) (+ (/ 1 (pow a 2)) (/ 1 (pow a 3))))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) 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)))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (* 1/6 (pow a 2))))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) (*.f64 (*.f64 a a) #s(literal 1/6 binary64)))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (* (pow a 2) (+ 1/6 (* 1/2 (/ 1 a))))))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 (* (pow a 2) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2)))))))
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)))
#s(approx (+ (* 1/6 a) 1/2) #s(hole binary64 (* 1/6 a)))
#s(approx (+ (* 1/6 a) 1/2) (*.f64 #s(literal 1/6 binary64) a))
#s(approx (+ (* 1/6 a) 1/2) #s(hole binary64 (* a (+ 1/6 (* 1/2 (/ 1 a))))))
#s(approx (+ (* 1/6 a) 1/2) (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)))
#s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (+ 1/2 (* -1/4 b)) a)) 1/4)))))
#s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 (fma.f64 (/.f64 b a) #s(literal -1/4 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* -1 (* (pow a 3) (- (* -1 (/ (+ 1/2 (/ 1 a)) a)) 1/6)))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* -1 (* (pow a 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))) a)) 1/6)))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) 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)))
#s(approx (* (pow (- (exp b) -1) -1/2) (pow (- (exp b) -1) -1/2)) #s(hole binary64 1/2))
#s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64))
#s(approx (* (pow (- (exp b) -1) -1/2) (pow (- (exp b) -1) -1/2)) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
#s(approx (* (pow (- (exp b) -1) -1/2) (pow (- (exp b) -1) -1/2)) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#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 (* (pow (- (exp b) -1) -1/2) (pow (- (exp b) -1) -1/2)) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))))
#s(approx (/ 1 (- (exp b) -1)) (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)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (fma.f64 (/.f64 b (fma.f64 #s(literal -1 binary64) (exp.f64 a) #s(literal -1 binary64))) (exp.f64 a) (exp.f64 a)) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (*.f64 (neg.f64 b) (*.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 (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)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (neg.f64 b) (fma.f64 (/.f64 (exp.f64 a) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal -1/6 binary64)) (neg.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal -1/2 binary64)))))) (*.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)))))
#s(approx (pow (- (exp b) -1) -1/2) #s(hole binary64 (sqrt 1/2)))
#s(approx (pow (- (exp b) -1) -1/2) (sqrt.f64 #s(literal 1/2 binary64)))
#s(approx (pow (- (exp b) -1) -1/2) #s(hole binary64 (+ (sqrt 1/2) (* -1/8 (/ b (sqrt 1/2))))))
#s(approx (pow (- (exp b) -1) -1/2) (fma.f64 (/.f64 b (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (pow (- (exp b) -1) -1/2) #s(hole binary64 (+ (sqrt 1/2) (* b (- (* -1/128 (/ b (pow (sqrt 1/2) 3))) (* 1/8 (/ 1 (sqrt 1/2))))))))
#s(approx (pow (- (exp b) -1) -1/2) (fma.f64 (/.f64 (fma.f64 (/.f64 b #s(literal 1/2 binary64)) #s(literal -1/128 binary64) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) b (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (pow (- (exp b) -1) -1/2) #s(hole binary64 (+ (sqrt 1/2) (* b (- (* b (- (* 1/2 (/ (* b (- 1/48 (* 1/512 (/ 1 (pow (sqrt 1/2) 4))))) (sqrt 1/2))) (* 1/128 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/8 (/ 1 (sqrt 1/2))))))))
#s(approx (pow (- (exp b) -1) -1/2) (fma.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/512 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)))) (/.f64 b (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) b (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) b (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- (exp b) -1) #s(hole binary64 2))
#s(approx (- (exp b) -1) #s(literal 2 binary64))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 b)))
#s(approx (- (exp b) -1) (-.f64 b #s(literal -2 binary64)))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#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) #s(hole binary64 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#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 (/ 1 (- (exp b) -1)) #s(hole binary64 1/2))
#s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* -1/4 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)) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#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)) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))))
#s(approx (/ 1 (- (exp b) -1)) (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)))
#s(approx (+ 2 b) #s(hole binary64 2))
#s(approx (+ 2 b) #s(literal 2 binary64))
#s(approx (+ 2 b) #s(hole binary64 (+ 2 b)))
#s(approx (+ 2 b) (-.f64 b #s(literal -2 binary64)))
#s(approx (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) #s(hole binary64 1/4))
#s(approx (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) #s(literal 1/4 binary64))
#s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (+ 1/2 (* 1/4 a))))
#s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (/.f64 (fma.f64 (/.f64 b (fma.f64 #s(literal -1 binary64) (exp.f64 a) #s(literal -1 binary64))) (exp.f64 a) (exp.f64 a)) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* -1/4 b) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (+ (* -1/4 b) 1/2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
#s(approx (exp b) #s(hole binary64 1))
#s(approx (exp b) #s(literal 1 binary64))
#s(approx (exp b) #s(hole binary64 (+ 1 b)))
#s(approx (exp b) (+.f64 #s(literal 1 binary64) b))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (exp 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)))
#s(approx (* (pow (- (exp b) -1) -1/2) (pow (- (exp b) -1) -1/2)) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ 1 (- (exp b) -1)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))
#s(approx (pow (- (exp b) -1) -1/2) #s(hole binary64 (sqrt (/ 1 (+ 1 (exp b))))))
#s(approx (pow (- (exp b) -1) -1/2) (sqrt.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 1 (exp b))))
#s(approx (- (exp b) -1) (-.f64 (exp.f64 b) #s(literal -1 binary64)))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ 1 (- (exp b) -1)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))
#s(approx (+ 2 b) #s(hole binary64 b))
#s(approx (+ 2 b) b)
#s(approx (+ 2 b) #s(hole binary64 (* b (+ 1 (* 2 (/ 1 b))))))
#s(approx (+ 2 b) (-.f64 b #s(literal -2 binary64)))
#s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (* -1/4 b)))
#s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal -1/4 binary64) b))
#s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (* b (- (+ (* 1/4 (/ a b)) (* 1/2 (/ 1 b))) 1/4))))
#s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)) b) #s(literal 1/4 binary64)) b))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2)))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (*.f64 (neg.f64 (exp.f64 a)) (/.f64 b (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a))))))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (*.f64 (/.f64 (+.f64 (/.f64 (exp.f64 a) b) (/.f64 (neg.f64 (exp.f64 a)) (-.f64 (exp.f64 a) #s(literal -1 binary64)))) (-.f64 (exp.f64 a) #s(literal -1 binary64))) b))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (* -1/4 b)))
#s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (* b (- (* 1/2 (/ 1 b)) 1/4))))
#s(approx (+ (* -1/4 b) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/4 binary64)) b))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (exp b) (exp.f64 b))
#s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (* -1 (* b (+ 1/4 (* -1 (/ (+ 1/2 (* 1/4 a)) b)))))))
#s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)) b) #s(literal 1/4 binary64)) b))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (*.f64 (/.f64 (+.f64 (/.f64 (exp.f64 a) b) (/.f64 (neg.f64 (exp.f64 a)) (-.f64 (exp.f64 a) #s(literal -1 binary64)))) (-.f64 (exp.f64 a) #s(literal -1 binary64))) b))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))))
#s(approx (+ (* -1/4 b) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/4 binary64)) b))

rewrite55.0ms (1%)

Memory
2.5MiB live, 96.6MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049274
075260
0305258
Stop Event
1×iter limit
1×iter limit
1×iter limit
1×unsound
1×iter limit
Counts
21 → 70
Calls
Call 1
Inputs
(*.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)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (*.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))))
(pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(-.f64 (exp.f64 b) #s(literal -1 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
#s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)))
#s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))
(+.f64 #s(literal 2 binary64) b)
(-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)))
(fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
(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))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
#s(approx (exp b) #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64))
Outputs
(*.f64 (neg.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 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)))
(pow.f64 (*.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) (-.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 binary64))
(pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/4 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/4 binary64)))
(pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(exp.f64 (*.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -1/2 binary64)))
(/.f64 (-.f64 (*.f64 (exp.f64 b) (exp.f64 b)) #s(literal 1 binary64)) (+.f64 (exp.f64 b) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (exp.f64 b) (exp.f64 b) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) #s(literal -1 binary64)))))
(-.f64 (exp.f64 b) #s(literal -1 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
#s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64)))
(pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)))
(/.f64 #s(literal -1 binary64) (neg.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
#s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 b b)) (-.f64 #s(literal 2 binary64) b))
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 b #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 b b) (*.f64 #s(literal 2 binary64) b))))
(+.f64 #s(literal 2 binary64) b)
(+.f64 b #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64))) (*.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)))) (+.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))))
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)) (*.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))))))
(fma.f64 #s(literal -1/8 binary64) b (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))))
(fma.f64 b #s(literal -1/8 binary64) (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))))
(-.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (*.f64 #s(literal -1/8 binary64) b)) #s(literal 1/4 binary64))
(-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)))
(+.f64 (*.f64 #s(literal -1/8 binary64) b) (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) b (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)))) a) (*.f64 (fma.f64 #s(literal -1/8 binary64) b (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)))) a)) (*.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))) (-.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) b (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)))) a) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) b (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)))) a) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) b (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)))) a) (*.f64 (fma.f64 #s(literal -1/8 binary64) b (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)))) a) (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) b (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)))) a) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) b (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
(fma.f64 a (fma.f64 #s(literal -1/8 binary64) b (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)))) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
(+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) b (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)))) a (*.f64 #s(literal -1/4 binary64) b)) #s(literal 1/2 binary64))
(+.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) b (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)))) a) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
(+.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) (*.f64 (fma.f64 #s(literal -1/8 binary64) b (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)))) a))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) b (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) b (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
(/.f64 (neg.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))) (neg.f64 (+.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a)))
#s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a) (*.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)) (-.f64 (*.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)))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a) (*.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) (*.f64 (*.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)))))
(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))
(fma.f64 a (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 (*.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))
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a))
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a) (*.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a)) #s(literal 1 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a) (*.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a) #s(literal 1 binary64)))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64))
(fma.f64 a (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) b) (*.f64 #s(literal -1/4 binary64) b)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 #s(literal -1/4 binary64) b) (*.f64 #s(literal -1/4 binary64) b) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.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))
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(+.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))
#s(approx (exp b) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) a) (*.f64 #s(literal 1/6 binary64) a)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) a) #s(literal 1/2 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) a) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) (*.f64 #s(literal 1/6 binary64) a) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) a) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64))
(fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(+.f64 (*.f64 #s(literal 1/6 binary64) a) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) a))

eval51.0ms (0.9%)

Memory
5.2MiB live, 52.1MiB allocated; 2ms collecting garbage
Compiler

Compiled 5 186 to 702 computations (86.5% saved)

prune16.0ms (0.3%)

Memory
7.8MiB live, 57.5MiB allocated; 4ms collecting garbage
Pruning

13 alts after pruning (9 fresh and 4 done)

PrunedKeptTotal
New1486154
Fresh134
Picked325
Done022
Total15213165
Accuracy
99.4%
Counts
165 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓62.4%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
✓80.8%
#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)))))
51.4%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
✓33.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
▶3.7%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ 2 b) b))))
▶65.5%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(approx (pow (- (exp b) -1) -1/2) (sqrt.f64 #s(literal 1/2 binary64)))))
33.5%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/12 binary64)) (fma.f64 (-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -1/16 binary64) b #s(literal 1/8 binary64))) #s(literal 1/2 binary64) (+.f64 #s(literal 5/48 binary64) (*.f64 #s(literal -1/48 binary64) b)))) a (-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -1/16 binary64) b #s(literal 1/8 binary64)))) a #s(literal 1/4 binary64)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
33.2%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
▶35.5%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
3.5%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal 1/4 binary64) a))))
▶3.7%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal -1/4 binary64) b))))
✓35.4%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
Compiler

Compiled 755 to 477 computations (36.8% saved)

simplify134.0ms (2.4%)

Memory
-3.3MiB live, 280.0MiB allocated; 34ms collecting garbage
Localize:

Found 20 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 (+ 2 b) b)
cost-diff0
#s(approx (- (exp b) -1) #s(approx (+ 2 b) b))
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ 2 b) b)))
cost-diff0
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ 2 b) b))))
cost-diff0
(fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))
cost-diff0
#s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))
cost-diff0
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
cost-diff0
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
cost-diff0
(*.f64 #s(literal -1/4 binary64) b)
cost-diff0
#s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal -1/4 binary64) b))
cost-diff0
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal -1/4 binary64) b)))
cost-diff0
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal -1/4 binary64) b))))
cost-diff0
(-.f64 (exp.f64 b) #s(literal -1 binary64))
cost-diff0
(pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64))
cost-diff0
(*.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(approx (pow (- (exp b) -1) -1/2) (sqrt.f64 #s(literal 1/2 binary64))))
cost-diff0
#s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(approx (pow (- (exp b) -1) -1/2) (sqrt.f64 #s(literal 1/2 binary64)))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057449
075449
1117433
2276379
3865373
44562373
08327367
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(approx (pow (- (exp b) -1) -1/2) (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(approx (pow (- (exp b) -1) -1/2) (sqrt.f64 #s(literal 1/2 binary64))))
(pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(-.f64 (exp.f64 b) #s(literal -1 binary64))
(exp.f64 b)
b
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(approx (pow (- (exp b) -1) -1/2) (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal -1/4 binary64) b)))
#s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal -1/4 binary64) b))
(*.f64 #s(literal -1/4 binary64) b)
#s(literal -1/4 binary64)
b
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
#s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))
#s(literal 1/4 binary64)
a
#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 (+ 2 b) b))))
(/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ 2 b) b)))
#s(literal 1 binary64)
#s(approx (- (exp b) -1) #s(approx (+ 2 b) b))
#s(approx (+ 2 b) b)
b
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (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
#s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(approx (pow (- (exp b) -1) -1/2) (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 #s(approx (pow (- (exp b) -1) -1/2) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(approx (pow (- (exp b) -1) -1/2) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 #s(approx (pow (- (exp b) -1) -1/2) (sqrt.f64 #s(literal 1/2 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 (exp.f64 b) #s(literal -1 binary64))
(exp.f64 b)
b
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(approx (pow (- (exp b) -1) -1/2) (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal -1/4 binary64) b)))
#s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal -1/4 binary64) b))
(*.f64 #s(literal -1/4 binary64) b)
#s(literal -1/4 binary64)
b
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
#s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))
#s(literal 1/4 binary64)
a
#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 (+ 2 b) b))))
(/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ 2 b) b)))
#s(literal 1 binary64)
#s(approx (- (exp b) -1) #s(approx (+ 2 b) b))
#s(approx (+ 2 b) b)
b
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (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)

localize178.0ms (3.2%)

Memory
-25.4MiB live, 314.4MiB allocated; 28ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0625
(fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))
accuracy0.17578125
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
accuracy12.28047601598185
#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)))))
accuracy17.054005547284152
#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)))
accuracy0.0078125
(/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ 2 b) b)))
accuracy12.28047601598185
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ 2 b) b))))
accuracy30.56984576057933
#s(approx (- (exp b) -1) #s(approx (+ 2 b) b))
accuracy31.823463360952285
#s(approx (+ 2 b) b)
accuracy0.0
(fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))
accuracy18.60148118498916
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
accuracy24.843534667385672
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
accuracy28.48529860701694
#s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))
accuracy0.0
(*.f64 #s(literal -1/4 binary64) b)
accuracy18.60148118498916
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal -1/4 binary64) b)))
accuracy24.843534667385672
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal -1/4 binary64) b))))
accuracy34.50897021965232
#s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal -1/4 binary64) b))
accuracy0.00390625
(-.f64 (exp.f64 b) #s(literal -1 binary64))
accuracy0.5
(*.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(approx (pow (- (exp b) -1) -1/2) (sqrt.f64 #s(literal 1/2 binary64))))
accuracy12.28047601598185
#s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(approx (pow (- (exp b) -1) -1/2) (sqrt.f64 #s(literal 1/2 binary64)))))
accuracy29.305707680736113
#s(approx (pow (- (exp b) -1) -1/2) (sqrt.f64 #s(literal 1/2 binary64)))
Samples
74.0ms233×0valid
73.0ms23×1valid
Compiler

Compiled 223 to 45 computations (79.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 127.0ms
adjust: 44.0ms (34.7% of total)
ival-exp: 22.0ms (17.4% of total)
ival-mult: 14.0ms (11% of total)
ival-add: 14.0ms (11% of total)
ival-pow: 13.0ms (10.3% of total)
ival-div: 7.0ms (5.5% of total)
ival-sub: 4.0ms (3.2% of total)
const: 4.0ms (3.2% of total)
ival-sqrt: 2.0ms (1.6% of total)
exact: 1.0ms (0.8% of total)
ival-neg: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series16.0ms (0.3%)

Memory
0.1MiB live, 47.6MiB allocated; 2ms collecting garbage
Counts
23 → 77
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(approx (pow (- (exp b) -1) -1/2) (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(approx (pow (- (exp b) -1) -1/2) (sqrt.f64 #s(literal 1/2 binary64))))
(pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(-.f64 (exp.f64 b) #s(literal -1 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal -1/4 binary64) b)))
#s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal -1/4 binary64) b))
(*.f64 #s(literal -1/4 binary64) b)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
#s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/4 binary64) a #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 (+ 2 b) b))))
(/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ 2 b) b)))
#s(approx (- (exp b) -1) #s(approx (+ 2 b) b))
#s(approx (+ 2 b) 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))
#s(approx (pow (- (exp b) -1) -1/2) (sqrt.f64 #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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))))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (* 1/2 (+ 1 (* -1/2 b)))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* 1/4 (+ 1 (* -1/2 b))))))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* a (- (* 1/2 (+ 1/2 (* -1 (- (* 1/4 b) (+ (* 1/8 b) (* 1/2 (- (* 1/2 b) (* 1/4 b)))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b))))))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* a (- (+ (* 1/2 (+ 1/2 (* -1 (- (* 1/4 b) (+ (* 1/8 b) (* 1/2 (- (* 1/2 b) (* 1/4 b)))))))) (* a (- (* 1/2 (+ 1/6 (* -1 (- (* 1/12 b) (+ (* 1/24 b) (+ (* 1/4 (- (* 1/2 b) (* 1/4 b))) (* 1/2 (- (* 1/4 b) (+ (* 1/8 b) (* 1/2 (- (* 1/2 b) (* 1/4 b)))))))))))) (+ (* 1/24 (+ 1 (* -1/2 b))) (+ (* 1/4 (- (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* 1/4 (+ 1 (* -1/2 b))))) (* 1/2 (- (* 1/2 (+ 1/2 (* -1 (- (* 1/4 b) (+ (* 1/8 b) (* 1/2 (- (* 1/2 b) (* 1/4 b)))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* 1/4 (+ 1 (* -1/2 b))))))))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b))))))))
#s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* 1/4 a)))))
#s(approx (+ (* 1/4 a) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/4 a) 1/2) #s(hole binary64 (+ 1/2 (* 1/4 a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ (exp a) (exp b)))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (/ (+ (exp a) (* -1 (/ (* b (exp a)) (+ 1 (exp a))))) (+ 1 (exp a)))))
#s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (* 1/4 a)))
#s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (* a (+ 1/4 (+ (* -1/4 (/ b a)) (* 1/2 (/ 1 a)))))))
#s(approx (+ (* 1/4 a) 1/2) #s(hole binary64 (* 1/4 a)))
#s(approx (+ (* 1/4 a) 1/2) #s(hole binary64 (* a (+ 1/4 (* 1/2 (/ 1 a))))))
#s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (+ 1/2 (* -1/4 b)) a)) 1/4)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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))))))
#s(approx (* (pow (- (exp b) -1) -1/2) (pow (- (exp b) -1) -1/2)) #s(hole binary64 1/2))
#s(approx (* (pow (- (exp b) -1) -1/2) (pow (- (exp b) -1) -1/2)) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (* (pow (- (exp b) -1) -1/2) (pow (- (exp b) -1) -1/2)) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (* (pow (- (exp b) -1) -1/2) (pow (- (exp b) -1) -1/2)) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))))
#s(approx (pow (- (exp b) -1) -1/2) #s(hole binary64 (sqrt 1/2)))
#s(approx (pow (- (exp b) -1) -1/2) #s(hole binary64 (+ (sqrt 1/2) (* -1/8 (/ b (sqrt 1/2))))))
#s(approx (pow (- (exp b) -1) -1/2) #s(hole binary64 (+ (sqrt 1/2) (* b (- (* -1/128 (/ b (pow (sqrt 1/2) 3))) (* 1/8 (/ 1 (sqrt 1/2))))))))
#s(approx (pow (- (exp b) -1) -1/2) #s(hole binary64 (+ (sqrt 1/2) (* b (- (* b (- (* 1/2 (/ (* b (- 1/48 (* 1/512 (/ 1 (pow (sqrt 1/2) 4))))) (sqrt 1/2))) (* 1/128 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/8 (/ 1 (sqrt 1/2))))))))
#s(approx (- (exp b) -1) #s(hole binary64 2))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 b)))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (+ 1/2 (* 1/4 a))))
#s(approx (* -1/4 b) #s(hole binary64 (* -1/4 b)))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 1/2))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))))
#s(approx (+ 2 b) #s(hole binary64 2))
#s(approx (+ 2 b) #s(hole binary64 (+ 2 b)))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 2))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (+ 2 b)))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (+ (* 1/6 b) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/6 b) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 b))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (+ 1 (* 1/2 b))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (+ 1 (* b (+ 1/2 (* 1/6 b))))))
#s(approx (* (pow (- (exp b) -1) -1/2) (pow (- (exp b) -1) -1/2)) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (pow (- (exp b) -1) -1/2) #s(hole binary64 (sqrt (/ 1 (+ 1 (exp b))))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 1 (exp b))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2)))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a))))))))
#s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (* -1/4 b)))
#s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (* b (- (+ (* 1/4 (/ a b)) (* 1/2 (/ 1 b))) 1/4))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (+ 2 b) #s(hole binary64 b))
#s(approx (+ 2 b) #s(hole binary64 (* b (+ 1 (* 2 (/ 1 b))))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (* 1/6 (pow b 3))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (* 2 (/ 1 (pow b 3)))))))))
#s(approx (+ (* 1/6 b) 1/2) #s(hole binary64 (* 1/6 b)))
#s(approx (+ (* 1/6 b) 1/2) #s(hole binary64 (* b (+ 1/6 (* 1/2 (/ 1 b))))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (* 1/6 (pow b 2))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))))))
#s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (* -1 (* b (+ 1/4 (* -1 (/ (+ 1/2 (* 1/4 a)) b)))))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))) b)) 1/6)))))
Calls

6 calls:

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

simplify206.0ms (3.7%)

Memory
23.5MiB live, 363.4MiB allocated; 67ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03782059
110251901
240701653
086921518
Stop Event
1×iter limit
1×node limit
Counts
77 → 77
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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))))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (* 1/2 (+ 1 (* -1/2 b)))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* 1/4 (+ 1 (* -1/2 b))))))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* a (- (* 1/2 (+ 1/2 (* -1 (- (* 1/4 b) (+ (* 1/8 b) (* 1/2 (- (* 1/2 b) (* 1/4 b)))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b))))))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* a (- (+ (* 1/2 (+ 1/2 (* -1 (- (* 1/4 b) (+ (* 1/8 b) (* 1/2 (- (* 1/2 b) (* 1/4 b)))))))) (* a (- (* 1/2 (+ 1/6 (* -1 (- (* 1/12 b) (+ (* 1/24 b) (+ (* 1/4 (- (* 1/2 b) (* 1/4 b))) (* 1/2 (- (* 1/4 b) (+ (* 1/8 b) (* 1/2 (- (* 1/2 b) (* 1/4 b)))))))))))) (+ (* 1/24 (+ 1 (* -1/2 b))) (+ (* 1/4 (- (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* 1/4 (+ 1 (* -1/2 b))))) (* 1/2 (- (* 1/2 (+ 1/2 (* -1 (- (* 1/4 b) (+ (* 1/8 b) (* 1/2 (- (* 1/2 b) (* 1/4 b)))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* 1/4 (+ 1 (* -1/2 b))))))))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b))))))))
#s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* 1/4 a)))))
#s(approx (+ (* 1/4 a) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/4 a) 1/2) #s(hole binary64 (+ 1/2 (* 1/4 a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ (exp a) (exp b)))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (/ (+ (exp a) (* -1 (/ (* b (exp a)) (+ 1 (exp a))))) (+ 1 (exp a)))))
#s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (* 1/4 a)))
#s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (* a (+ 1/4 (+ (* -1/4 (/ b a)) (* 1/2 (/ 1 a)))))))
#s(approx (+ (* 1/4 a) 1/2) #s(hole binary64 (* 1/4 a)))
#s(approx (+ (* 1/4 a) 1/2) #s(hole binary64 (* a (+ 1/4 (* 1/2 (/ 1 a))))))
#s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (+ 1/2 (* -1/4 b)) a)) 1/4)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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))))))
#s(approx (* (pow (- (exp b) -1) -1/2) (pow (- (exp b) -1) -1/2)) #s(hole binary64 1/2))
#s(approx (* (pow (- (exp b) -1) -1/2) (pow (- (exp b) -1) -1/2)) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (* (pow (- (exp b) -1) -1/2) (pow (- (exp b) -1) -1/2)) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (* (pow (- (exp b) -1) -1/2) (pow (- (exp b) -1) -1/2)) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))))
#s(approx (pow (- (exp b) -1) -1/2) #s(hole binary64 (sqrt 1/2)))
#s(approx (pow (- (exp b) -1) -1/2) #s(hole binary64 (+ (sqrt 1/2) (* -1/8 (/ b (sqrt 1/2))))))
#s(approx (pow (- (exp b) -1) -1/2) #s(hole binary64 (+ (sqrt 1/2) (* b (- (* -1/128 (/ b (pow (sqrt 1/2) 3))) (* 1/8 (/ 1 (sqrt 1/2))))))))
#s(approx (pow (- (exp b) -1) -1/2) #s(hole binary64 (+ (sqrt 1/2) (* b (- (* b (- (* 1/2 (/ (* b (- 1/48 (* 1/512 (/ 1 (pow (sqrt 1/2) 4))))) (sqrt 1/2))) (* 1/128 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/8 (/ 1 (sqrt 1/2))))))))
#s(approx (- (exp b) -1) #s(hole binary64 2))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 b)))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (+ 1/2 (* 1/4 a))))
#s(approx (* -1/4 b) #s(hole binary64 (* -1/4 b)))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 1/2))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))))
#s(approx (+ 2 b) #s(hole binary64 2))
#s(approx (+ 2 b) #s(hole binary64 (+ 2 b)))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 2))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (+ 2 b)))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (+ (* 1/6 b) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/6 b) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 b))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (+ 1 (* 1/2 b))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (+ 1 (* b (+ 1/2 (* 1/6 b))))))
#s(approx (* (pow (- (exp b) -1) -1/2) (pow (- (exp b) -1) -1/2)) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (pow (- (exp b) -1) -1/2) #s(hole binary64 (sqrt (/ 1 (+ 1 (exp b))))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 1 (exp b))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2)))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a))))))))
#s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (* -1/4 b)))
#s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (* b (- (+ (* 1/4 (/ a b)) (* 1/2 (/ 1 b))) 1/4))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (+ 2 b) #s(hole binary64 b))
#s(approx (+ 2 b) #s(hole binary64 (* b (+ 1 (* 2 (/ 1 b))))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (* 1/6 (pow b 3))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (* 2 (/ 1 (pow b 3)))))))))
#s(approx (+ (* 1/6 b) 1/2) #s(hole binary64 (* 1/6 b)))
#s(approx (+ (* 1/6 b) 1/2) #s(hole binary64 (* b (+ 1/6 (* 1/2 (/ 1 b))))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (* 1/6 (pow b 2))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))))))
#s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (* -1 (* b (+ 1/4 (* -1 (/ (+ 1/2 (* 1/4 a)) b)))))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))) b)) 1/6)))))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 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 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (fma.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -3/2 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))) a (-.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 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 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (fma.f64 (+.f64 (fma.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1/6 binary64)) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 3 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 4 binary64)))))) a (/.f64 (+.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -3/2 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))) a (-.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 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 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (* 1/2 (+ 1 (* -1/2 b)))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* 1/4 (+ 1 (* -1/2 b))))))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (fma.f64 #s(literal -1/4 binary64) (-.f64 b a) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* a (- (* 1/2 (+ 1/2 (* -1 (- (* 1/4 b) (+ (* 1/8 b) (* 1/2 (- (* 1/2 b) (* 1/4 b)))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b))))))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (fma.f64 (fma.f64 (-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -1/16 binary64) b #s(literal 1/8 binary64))) a #s(literal 1/4 binary64)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* a (- (+ (* 1/2 (+ 1/2 (* -1 (- (* 1/4 b) (+ (* 1/8 b) (* 1/2 (- (* 1/2 b) (* 1/4 b)))))))) (* a (- (* 1/2 (+ 1/6 (* -1 (- (* 1/12 b) (+ (* 1/24 b) (+ (* 1/4 (- (* 1/2 b) (* 1/4 b))) (* 1/2 (- (* 1/4 b) (+ (* 1/8 b) (* 1/2 (- (* 1/2 b) (* 1/4 b)))))))))))) (+ (* 1/24 (+ 1 (* -1/2 b))) (+ (* 1/4 (- (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* 1/4 (+ 1 (* -1/2 b))))) (* 1/2 (- (* 1/2 (+ 1/2 (* -1 (- (* 1/4 b) (+ (* 1/8 b) (* 1/2 (- (* 1/2 b) (* 1/4 b)))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* 1/4 (+ 1 (* -1/2 b))))))))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b))))))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/12 binary64)) (fma.f64 (-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -1/16 binary64) b #s(literal 1/8 binary64))) #s(literal 1/2 binary64) (+.f64 #s(literal 5/48 binary64) (*.f64 #s(literal -1/48 binary64) b)))) a (-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -1/16 binary64) b #s(literal 1/8 binary64)))) a #s(literal 1/4 binary64)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
#s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* 1/4 a)))))
#s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal -1/4 binary64) (-.f64 b a) #s(literal 1/2 binary64)))
#s(approx (+ (* 1/4 a) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/4 a) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* 1/4 a) 1/2) #s(hole binary64 (+ 1/2 (* 1/4 a))))
#s(approx (+ (* 1/4 a) 1/2) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ (exp a) (exp b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (/ (+ (exp a) (* -1 (/ (* b (exp a)) (+ 1 (exp a))))) (+ 1 (exp a)))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (/.f64 (fma.f64 (/.f64 b (fma.f64 #s(literal -1 binary64) (exp.f64 a) #s(literal -1 binary64))) (exp.f64 a) (exp.f64 a)) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
#s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (* 1/4 a)))
#s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal 1/4 binary64) a))
#s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (* a (+ 1/4 (+ (* -1/4 (/ b a)) (* 1/2 (/ 1 a)))))))
#s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 (fma.f64 (/.f64 b a) #s(literal -1/4 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))
#s(approx (+ (* 1/4 a) 1/2) #s(hole binary64 (* 1/4 a)))
#s(approx (+ (* 1/4 a) 1/2) (*.f64 #s(literal 1/4 binary64) a))
#s(approx (+ (* 1/4 a) 1/2) #s(hole binary64 (* a (+ 1/4 (* 1/2 (/ 1 a))))))
#s(approx (+ (* 1/4 a) 1/2) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))
#s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (+ 1/2 (* -1/4 b)) a)) 1/4)))))
#s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 (fma.f64 (/.f64 b a) #s(literal -1/4 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (fma.f64 (/.f64 b (fma.f64 #s(literal -1 binary64) (exp.f64 a) #s(literal -1 binary64))) (exp.f64 a) (exp.f64 a)) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (*.f64 (neg.f64 b) (*.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 (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)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (neg.f64 b) (fma.f64 (/.f64 (exp.f64 a) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal -1/6 binary64)) (neg.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal -1/2 binary64)))))) (*.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)))))
#s(approx (* (pow (- (exp b) -1) -1/2) (pow (- (exp b) -1) -1/2)) #s(hole binary64 1/2))
#s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64))
#s(approx (* (pow (- (exp b) -1) -1/2) (pow (- (exp b) -1) -1/2)) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
#s(approx (* (pow (- (exp b) -1) -1/2) (pow (- (exp b) -1) -1/2)) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#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 (* (pow (- (exp b) -1) -1/2) (pow (- (exp b) -1) -1/2)) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))))
#s(approx (/ 1 (- (exp b) -1)) (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)))
#s(approx (pow (- (exp b) -1) -1/2) #s(hole binary64 (sqrt 1/2)))
#s(approx (pow (- (exp b) -1) -1/2) (sqrt.f64 #s(literal 1/2 binary64)))
#s(approx (pow (- (exp b) -1) -1/2) #s(hole binary64 (+ (sqrt 1/2) (* -1/8 (/ b (sqrt 1/2))))))
#s(approx (pow (- (exp b) -1) -1/2) (fma.f64 (/.f64 b (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (pow (- (exp b) -1) -1/2) #s(hole binary64 (+ (sqrt 1/2) (* b (- (* -1/128 (/ b (pow (sqrt 1/2) 3))) (* 1/8 (/ 1 (sqrt 1/2))))))))
#s(approx (pow (- (exp b) -1) -1/2) (fma.f64 (/.f64 (fma.f64 (/.f64 b #s(literal 1/2 binary64)) #s(literal -1/128 binary64) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) b (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (pow (- (exp b) -1) -1/2) #s(hole binary64 (+ (sqrt 1/2) (* b (- (* b (- (* 1/2 (/ (* b (- 1/48 (* 1/512 (/ 1 (pow (sqrt 1/2) 4))))) (sqrt 1/2))) (* 1/128 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/8 (/ 1 (sqrt 1/2))))))))
#s(approx (pow (- (exp b) -1) -1/2) (fma.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/512 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)))) (/.f64 b (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) b (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) b (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- (exp b) -1) #s(hole binary64 2))
#s(approx (- (exp b) -1) #s(literal 2 binary64))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 b)))
#s(approx (- (exp b) -1) (-.f64 b #s(literal -2 binary64)))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#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) #s(hole binary64 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#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 (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (/.f64 (fma.f64 (/.f64 b (fma.f64 #s(literal -1 binary64) (exp.f64 a) #s(literal -1 binary64))) (exp.f64 a) (exp.f64 a)) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
#s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (+ 1/2 (* 1/4 a))))
#s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))
#s(approx (* -1/4 b) #s(hole binary64 (* -1/4 b)))
#s(approx (* -1/4 b) (*.f64 #s(literal -1/4 binary64) b))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 1/2))
#s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* -1/4 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)) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#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)) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))))
#s(approx (/ 1 (- (exp b) -1)) (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)))
#s(approx (+ 2 b) #s(hole binary64 2))
#s(approx (+ 2 b) #s(literal 2 binary64))
#s(approx (+ 2 b) #s(hole binary64 (+ 2 b)))
#s(approx (+ 2 b) (-.f64 b #s(literal -2 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 2))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(literal 2 binary64))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (+ 2 b)))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (-.f64 b #s(literal -2 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (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 (+ (* 1/6 b) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/6 b) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* 1/6 b) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 b))))
#s(approx (+ (* 1/6 b) 1/2) (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (+ 1 (* 1/2 b))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (+ 1 (* b (+ 1/2 (* 1/6 b))))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)))
#s(approx (* (pow (- (exp b) -1) -1/2) (pow (- (exp b) -1) -1/2)) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ 1 (- (exp b) -1)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))
#s(approx (pow (- (exp b) -1) -1/2) #s(hole binary64 (sqrt (/ 1 (+ 1 (exp b))))))
#s(approx (pow (- (exp b) -1) -1/2) (sqrt.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 1 (exp b))))
#s(approx (- (exp b) -1) (-.f64 (exp.f64 b) #s(literal -1 binary64)))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2)))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (*.f64 (neg.f64 (exp.f64 a)) (/.f64 b (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a))))))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (*.f64 (/.f64 (+.f64 (/.f64 (exp.f64 a) b) (/.f64 (neg.f64 (exp.f64 a)) (-.f64 (exp.f64 a) #s(literal -1 binary64)))) (-.f64 (exp.f64 a) #s(literal -1 binary64))) b))
#s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (* -1/4 b)))
#s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal -1/4 binary64) b))
#s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (* b (- (+ (* 1/4 (/ a b)) (* 1/2 (/ 1 b))) 1/4))))
#s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)) b) #s(literal 1/4 binary64)) b))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ 1 (- (exp b) -1)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))
#s(approx (+ 2 b) #s(hole binary64 b))
#s(approx (+ 2 b) b)
#s(approx (+ 2 b) #s(hole binary64 (* b (+ 1 (* 2 (/ 1 b))))))
#s(approx (+ 2 b) (-.f64 b #s(literal -2 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (* 1/6 (pow b 3))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/6 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))))
#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 (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (* 2 (/ 1 (pow b 3)))))))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) #s(literal 1 binary64)) b) #s(literal -1/2 binary64)) b) #s(literal -1/6 binary64)) (pow.f64 b #s(literal 3 binary64))))
#s(approx (+ (* 1/6 b) 1/2) #s(hole binary64 (* 1/6 b)))
#s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b))
#s(approx (+ (* 1/6 b) 1/2) #s(hole binary64 (* b (+ 1/6 (* 1/2 (/ 1 b))))))
#s(approx (+ (* 1/6 b) 1/2) (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (* 1/6 (pow b 2))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) b) b))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (*.f64 (/.f64 (+.f64 (/.f64 (exp.f64 a) b) (/.f64 (neg.f64 (exp.f64 a)) (-.f64 (exp.f64 a) #s(literal -1 binary64)))) (-.f64 (exp.f64 a) #s(literal -1 binary64))) b))
#s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (* -1 (* b (+ 1/4 (* -1 (/ (+ 1/2 (* 1/4 a)) b)))))))
#s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)) b) #s(literal 1/4 binary64)) b))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))) b)) 1/6)))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) #s(literal 1 binary64)) b) #s(literal -1/2 binary64)) b) #s(literal -1/6 binary64)) (pow.f64 b #s(literal 3 binary64))))

rewrite92.0ms (1.7%)

Memory
12.1MiB live, 157.5MiB allocated; 15ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057429
075429
1295413
02430395
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
23 → 126
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(approx (pow (- (exp b) -1) -1/2) (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(approx (pow (- (exp b) -1) -1/2) (sqrt.f64 #s(literal 1/2 binary64))))
(pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(-.f64 (exp.f64 b) #s(literal -1 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal -1/4 binary64) b)))
#s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal -1/4 binary64) b))
(*.f64 #s(literal -1/4 binary64) b)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
#s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/4 binary64) a #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 (+ 2 b) b))))
(/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ 2 b) b)))
#s(approx (- (exp b) -1) #s(approx (+ 2 b) b))
#s(approx (+ 2 b) 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))
#s(approx (pow (- (exp b) -1) -1/2) (sqrt.f64 #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 #s(approx (pow (- (exp b) -1) -1/2) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64))))
(*.f64 (*.f64 #s(approx (pow (- (exp b) -1) -1/2) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/4 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/4 binary64)) #s(approx (pow (- (exp b) -1) -1/2) (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 #s(approx (pow (- (exp b) -1) -1/2) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(approx (pow (- (exp b) -1) -1/2) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (neg.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/4 binary64))) (neg.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/4 binary64))) (fabs.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/4 binary64))))
(*.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/4 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/4 binary64)))
(pow.f64 (exp.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)))) #s(literal -1/2 binary64))
(pow.f64 (*.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -1/4 binary64))
(pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(exp.f64 (*.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -1/2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -1/2 binary64))) (sinh.f64 (*.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b))) (neg.f64 (+.f64 #s(literal -1 binary64) (exp.f64 b))))
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(/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)) (+.f64 #s(literal -1 binary64) (exp.f64 b)))
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(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b))))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b)))
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (*.f64 b #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 1 binary64))
(fma.f64 b (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal -1 binary64))))
(-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))) b))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 b) (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))))
(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b))))
(+.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b))

eval29.0ms (0.5%)

Memory
-13.7MiB live, 79.6MiB allocated; 10ms collecting garbage
Compiler

Compiled 6 951 to 955 computations (86.3% saved)

prune26.0ms (0.5%)

Memory
-21.6MiB live, 76.9MiB allocated; 8ms collecting garbage
Pruning

21 alts after pruning (13 fresh and 8 done)

PrunedKeptTotal
New17310183
Fresh134
Picked145
Done044
Total17521196
Accuracy
99.4%
Counts
196 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓62.4%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
✓80.8%
#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)) (-.f64 (*.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 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
51.4%
#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) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
54.4%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) b) b)) b #s(literal 2 binary64)))))
✓33.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
24.9%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b)))))
25.0%
#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))))))
32.2%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) #s(literal 1 binary64)) b) #s(literal -1/2 binary64)) b) #s(literal -1/6 binary64)) (pow.f64 b #s(literal 3 binary64)))))))
✓3.7%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ 2 b) b))))
32.3%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 #s(approx (pow (- (exp b) -1) -1/2) (fma.f64 (/.f64 b (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) #s(approx (pow (- (exp b) -1) -1/2) (sqrt.f64 #s(literal 1/2 binary64)))))
34.9%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 #s(approx (pow (- (exp b) -1) -1/2) (sqrt.f64 #s(literal 1/2 binary64))) #s(approx (pow (- (exp b) -1) -1/2) (sqrt.f64 #s(literal 1/2 binary64)))))
33.5%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/12 binary64)) (fma.f64 (-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -1/16 binary64) b #s(literal 1/8 binary64))) #s(literal 1/2 binary64) (+.f64 #s(literal 5/48 binary64) (*.f64 #s(literal -1/48 binary64) b)))) a (-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -1/16 binary64) b #s(literal 1/8 binary64)))) a #s(literal 1/4 binary64)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
33.2%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
✓35.5%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
35.5%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (/.f64 (fma.f64 (*.f64 a a) #s(literal 1/16 binary64) #s(literal -1/4 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64))))))
3.5%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal 1/4 binary64) a))))
✓3.7%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal -1/4 binary64) b))))
✓35.4%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
Compiler

Compiled 1 773 to 706 computations (60.2% saved)

regimes42.0ms (0.8%)

Memory
40.4MiB live, 134.3MiB allocated; 7ms collecting garbage
Counts
31 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -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) #s(approx (+ 2 b) b))))
#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) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) #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(approx (pow (- (exp b) -1) -1/2) (sqrt.f64 #s(literal 1/2 binary64))) #s(approx (pow (- (exp b) -1) -1/2) (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) a (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) #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 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) b) b)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b)))))
#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)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (/.f64 (fma.f64 (*.f64 a a) #s(literal 1/16 binary64) #s(literal -1/4 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 #s(approx (pow (- (exp b) -1) -1/2) (fma.f64 (/.f64 b (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) #s(approx (pow (- (exp b) -1) -1/2) (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (-.f64 (*.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 (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/12 binary64)) (fma.f64 (-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -1/16 binary64) b #s(literal 1/8 binary64))) #s(literal 1/2 binary64) (+.f64 #s(literal 5/48 binary64) (*.f64 #s(literal -1/48 binary64) b)))) a (-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -1/16 binary64) b #s(literal 1/8 binary64)))) a #s(literal 1/4 binary64)) a (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) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) b #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (fma.f64 (-.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/16 binary64) b)) (*.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) #s(literal 1/4 binary64) (fma.f64 #s(literal -1/48 binary64) b #s(literal 1/24 binary64))))) a (-.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/16 binary64) b)) (*.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))) a (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)))) a (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) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) #s(literal 1 binary64)) b) #s(literal -1/2 binary64)) b) #s(literal -1/6 binary64)) (pow.f64 b #s(literal 3 binary64)))))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(approx (pow (- (exp b) -1) -1/2) (sqrt.f64 #s(literal 1/2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (*.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))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (fma.f64 (neg.f64 (exp.f64 a)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (exp.f64 a)) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(/.f64 (*.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a))) (+.f64 (exp.f64 a) (exp.f64 b)))
Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Calls

5 calls:

11.0ms
a
8.0ms
b
8.0ms
(exp.f64 a)
6.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
6.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
98.0%1(exp.f64 b)
98.0%1(exp.f64 a)
98.0%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
98.0%1a
98.0%1b
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes48.0ms (0.9%)

Memory
52.8MiB live, 145.0MiB allocated; 18ms collecting garbage
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 (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -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) #s(approx (+ 2 b) b))))
#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) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) #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(approx (pow (- (exp b) -1) -1/2) (sqrt.f64 #s(literal 1/2 binary64))) #s(approx (pow (- (exp b) -1) -1/2) (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) a (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) #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 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) b) b)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b)))))
#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)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (/.f64 (fma.f64 (*.f64 a a) #s(literal 1/16 binary64) #s(literal -1/4 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 #s(approx (pow (- (exp b) -1) -1/2) (fma.f64 (/.f64 b (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) #s(approx (pow (- (exp b) -1) -1/2) (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (-.f64 (*.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 (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/12 binary64)) (fma.f64 (-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -1/16 binary64) b #s(literal 1/8 binary64))) #s(literal 1/2 binary64) (+.f64 #s(literal 5/48 binary64) (*.f64 #s(literal -1/48 binary64) b)))) a (-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -1/16 binary64) b #s(literal 1/8 binary64)))) a #s(literal 1/4 binary64)) a (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) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) b #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (fma.f64 (-.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/16 binary64) b)) (*.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) #s(literal 1/4 binary64) (fma.f64 #s(literal -1/48 binary64) b #s(literal 1/24 binary64))))) a (-.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/16 binary64) b)) (*.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))) a (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)))) a (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) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) #s(literal 1 binary64)) b) #s(literal -1/2 binary64)) b) #s(literal -1/6 binary64)) (pow.f64 b #s(literal 3 binary64)))))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(approx (pow (- (exp b) -1) -1/2) (sqrt.f64 #s(literal 1/2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 (exp.f64 a) (exp.f64 b)))
Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
Calls

5 calls:

15.0ms
b
8.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
8.0ms
a
6.0ms
(exp.f64 b)
6.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
98.4%3(exp.f64 b)
98.2%2(exp.f64 a)
80.8%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
98.2%2a
98.4%3b
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes109.0ms (2%)

Memory
-34.1MiB live, 108.9MiB allocated; 52ms collecting garbage
Counts
24 → 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 (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -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) #s(approx (+ 2 b) b))))
#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) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) #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(approx (pow (- (exp b) -1) -1/2) (sqrt.f64 #s(literal 1/2 binary64))) #s(approx (pow (- (exp b) -1) -1/2) (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) a (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) #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 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) b) b)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b)))))
#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)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (/.f64 (fma.f64 (*.f64 a a) #s(literal 1/16 binary64) #s(literal -1/4 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 #s(approx (pow (- (exp b) -1) -1/2) (fma.f64 (/.f64 b (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) #s(approx (pow (- (exp b) -1) -1/2) (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (-.f64 (*.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 (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/12 binary64)) (fma.f64 (-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -1/16 binary64) b #s(literal 1/8 binary64))) #s(literal 1/2 binary64) (+.f64 #s(literal 5/48 binary64) (*.f64 #s(literal -1/48 binary64) b)))) a (-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -1/16 binary64) b #s(literal 1/8 binary64)))) a #s(literal 1/4 binary64)) a (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) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) b #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (fma.f64 (-.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/16 binary64) b)) (*.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) #s(literal 1/4 binary64) (fma.f64 #s(literal -1/48 binary64) b #s(literal 1/24 binary64))))) a (-.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/16 binary64) b)) (*.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))) a (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)))) a (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) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) #s(literal 1 binary64)) b) #s(literal -1/2 binary64)) b) #s(literal -1/6 binary64)) (pow.f64 b #s(literal 3 binary64)))))))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
Calls

4 calls:

31.0ms
b
29.0ms
(exp.f64 b)
7.0ms
a
5.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
80.8%1(exp.f64 b)
80.8%1b
80.8%1(exp.f64 a)
80.8%1a
Compiler

Compiled 6 to 10 computations (-66.7% saved)

regimes35.0ms (0.6%)

Memory
33.2MiB live, 77.9MiB allocated; 11ms collecting garbage
Counts
20 → 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 (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -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) #s(approx (+ 2 b) b))))
#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) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) #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(approx (pow (- (exp b) -1) -1/2) (sqrt.f64 #s(literal 1/2 binary64))) #s(approx (pow (- (exp b) -1) -1/2) (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) a (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) #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 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) b) b)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b)))))
#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)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (/.f64 (fma.f64 (*.f64 a a) #s(literal 1/16 binary64) #s(literal -1/4 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 #s(approx (pow (- (exp b) -1) -1/2) (fma.f64 (/.f64 b (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) #s(approx (pow (- (exp b) -1) -1/2) (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (-.f64 (*.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 (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/12 binary64)) (fma.f64 (-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -1/16 binary64) b #s(literal 1/8 binary64))) #s(literal 1/2 binary64) (+.f64 #s(literal 5/48 binary64) (*.f64 #s(literal -1/48 binary64) b)))) a (-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -1/16 binary64) b #s(literal 1/8 binary64)))) a #s(literal 1/4 binary64)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
Outputs
#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))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
Calls

5 calls:

15.0ms
a
6.0ms
b
4.0ms
(exp.f64 a)
4.0ms
(exp.f64 b)
4.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Results
AccuracySegmentsBranch
54.9%1(exp.f64 a)
57.7%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
54.9%1a
57.7%2b
57.7%2(exp.f64 b)
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes15.0ms (0.3%)

Memory
1.5MiB live, 47.4MiB allocated; 3ms collecting garbage
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 (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -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) #s(approx (+ 2 b) b))))
#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) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) #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(approx (pow (- (exp b) -1) -1/2) (sqrt.f64 #s(literal 1/2 binary64))) #s(approx (pow (- (exp b) -1) -1/2) (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) a (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) #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 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) b) b)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b)))))
#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)))))
Outputs
#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))) (/.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

3 calls:

7.0ms
b
3.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
3.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
57.7%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
57.7%2(exp.f64 b)
57.7%2b
Compiler

Compiled 11 to 11 computations (0% saved)

regimes13.0ms (0.2%)

Memory
-2.8MiB live, 44.1MiB allocated; 1ms collecting garbage
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 (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -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) #s(approx (+ 2 b) b))))
#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) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) #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(approx (pow (- (exp b) -1) -1/2) (sqrt.f64 #s(literal 1/2 binary64))) #s(approx (pow (- (exp b) -1) -1/2) (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) a (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) #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 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) b) b)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b)))))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) b) b)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
Calls

3 calls:

5.0ms
b
3.0ms
(exp.f64 b)
3.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Results
AccuracySegmentsBranch
57.5%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
57.4%2(exp.f64 b)
57.4%2b
Compiler

Compiled 11 to 11 computations (0% saved)

regimes22.0ms (0.4%)

Memory
-13.5MiB live, 38.3MiB allocated; 14ms collecting garbage
Counts
12 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -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) #s(approx (+ 2 b) b))))
#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) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) #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(approx (pow (- (exp b) -1) -1/2) (sqrt.f64 #s(literal 1/2 binary64))) #s(approx (pow (- (exp b) -1) -1/2) (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) a (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) #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
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #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 (+ (* (+ (* (+ (* 1/6 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

3 calls:

15.0ms
b
3.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
3.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
57.3%2(exp.f64 b)
57.3%2b
57.3%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 11 to 11 computations (0% saved)

regimes19.0ms (0.3%)

Memory
15.0MiB live, 60.7MiB allocated; 3ms collecting garbage
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 (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -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) #s(approx (+ 2 b) b))))
#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) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) #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(approx (pow (- (exp b) -1) -1/2) (sqrt.f64 #s(literal 1/2 binary64))) #s(approx (pow (- (exp b) -1) -1/2) (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
Outputs
#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))) (/.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:

5.0ms
(exp.f64 b)
4.0ms
b
4.0ms
a
3.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
3.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
51.4%1(exp.f64 a)
51.4%1a
54.0%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
54.0%2(exp.f64 b)
54.0%2b
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes13.0ms (0.2%)

Memory
-1.1MiB live, 45.5MiB allocated; 2ms collecting garbage
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 (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -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) #s(approx (+ 2 b) b))))
#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 (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
Calls

5 calls:

4.0ms
b
3.0ms
a
2.0ms
(exp.f64 b)
2.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
2.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
35.5%1(exp.f64 a)
35.5%1a
35.5%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
35.5%1(exp.f64 b)
35.5%1b
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes10.0ms (0.2%)

Memory
-13.6MiB live, 31.2MiB allocated; 4ms collecting garbage
Accuracy

Total -21.1b remaining (-51%)

Threshold costs -21.1b (-51%)

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

5 calls:

2.0ms
a
2.0ms
b
1.0ms
(exp.f64 b)
1.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
35.4%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
35.4%1(exp.f64 a)
35.4%1a
35.4%1b
35.4%1(exp.f64 b)
Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch15.0ms (0.3%)

Memory
-12.6MiB live, 45.5MiB allocated; 2ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
13.0ms
-8.170973623906472e-5
-2.250278204195067e-9
Samples
8.0ms128×0valid
Compiler

Compiled 211 to 187 computations (11.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-exp: 2.0ms (50.3% of total)
ival-div: 1.0ms (25.2% of total)
ival-add: 1.0ms (25.2% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch15.0ms (0.3%)

Memory
-4.2MiB live, 41.9MiB allocated; 3ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
13.0ms
-2.7758629213282708e-5
-3.600413784220329e-8
Samples
8.0ms128×0valid
Compiler

Compiled 355 to 275 computations (22.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-exp: 2.0ms (50.7% of total)
ival-div: 1.0ms (25.4% of total)
ival-add: 1.0ms (25.4% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
4.8MiB live, 4.8MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
-2.7758629213282708e-5
-3.600413784220329e-8
Compiler

Compiled 395 to 307 computations (22.3% saved)

bsearch0.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.020179921480338498
0.49739521070839865
Compiler

Compiled 11 to 11 computations (0% saved)

bsearch19.0ms (0.3%)

Memory
9.3MiB live, 53.2MiB allocated; 4ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
17.0ms
4.9783859688251204e-8
3.8826808375085142
Samples
8.0ms144×0valid
Compiler

Compiled 821 to 560 computations (31.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-exp: 3.0ms (64.4% of total)
ival-div: 1.0ms (21.5% of total)
ival-add: 1.0ms (21.5% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
4.5MiB live, 4.5MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
-2.7758629213282708e-5
-3.600413784220329e-8
Compiler

Compiled 331 to 259 computations (21.8% saved)

simplify55.0ms (1%)

Memory
-17.0MiB live, 128.5MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
096455
1136452
2287434
3871428
44361428
Stop Event
1×node limit
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (<=.f64 a #s(literal -6800207735332289/18889465931478580854784 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
#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 -8116567392432203/295147905179352825856 binary64)) #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))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))))
(if (<=.f64 b #s(literal -8116567392432203/295147905179352825856 binary64)) #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))) (/.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 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 5764607523034235/144115188075855872 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) b) b)) b #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))))
(if (<=.f64 b #s(literal 5/4 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #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 (+ (* (+ (* (+ (* 1/6 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 -8116567392432203/295147905179352825856 binary64)) #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))) (/.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 a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (<=.f64 a #s(literal -6800207735332289/18889465931478580854784 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
#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 -8116567392432203/295147905179352825856 binary64)) #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))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))))
(if (<=.f64 b #s(literal -8116567392432203/295147905179352825856 binary64)) #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))) (/.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 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 5764607523034235/144115188075855872 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) b) b)) b #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))))
(if (<=.f64 b #s(literal 5/4 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #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 (+ (* (+ (* (+ (* 1/6 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 -8116567392432203/295147905179352825856 binary64)) #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))) (/.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 a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))

derivations523.0ms (9.5%)

Memory
25.3MiB live, 527.6MiB allocated; 97ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 455 to 102 computations (77.6% saved)

preprocess81.0ms (1.5%)

Memory
29.8MiB live, 155.7MiB allocated; 41ms collecting garbage
Compiler

Compiled 942 to 230 computations (75.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

Loading profile data...