Quotient of sum of exps

Time bar (total: 7.2s)

start0.0ms (0%)

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

analyze6.0ms (0.1%)

Memory
15.2MiB live, 15.2MiB 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)

sample2.0s (27.5%)

Memory
-69.7MiB live, 2 409.5MiB allocated; 1.4s collecting garbage
Samples
1.1s8 256×0valid
392.0ms2 966×0exit
Precisions
Click to see histograms. Total time spent on operations: 607.0ms
ival-exp: 275.0ms (45.3% of total)
ival-div: 220.0ms (36.3% of total)
ival-add: 96.0ms (15.8% of total)
ival-true: 8.0ms (1.3% of total)
ival-assert: 5.0ms (0.8% of total)
adjust: 3.0ms (0.5% of total)
Bogosity

explain111.0ms (1.5%)

Memory
-0.3MiB live, 306.1MiB allocated; 67ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
30-0-(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
00-0-(+.f64 (exp.f64 a) (exp.f64 b))
00-0-a
00-0-(exp.f64 b)
00-0-b
00-0-(exp.f64 a)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))o/o30
↳(exp.f64 a)overflow3
↳(+.f64 (exp.f64 a) (exp.f64 b))overflow63
↳(exp.f64 a)overflow3
↳(exp.f64 b)overflow60
Confusion
Predicted +Predicted -
+30
-0253
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+300
-00253
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0253
13
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
60.0ms512×0valid
Compiler

Compiled 50 to 22 computations (56% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-exp: 8.0ms (51.5% of total)
ival-div: 3.0ms (19.3% of total)
ival-add: 3.0ms (19.3% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess163.0ms (2.3%)

Memory
9.1MiB live, 385.0MiB allocated; 28ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01856
14656
214756
356351
4326051
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
0.2MiB live, 0.2MiB 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
▶98.8%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 8 to 6 computations (25% saved)

simplify141.0ms (2%)

Memory
14.9MiB live, 355.6MiB allocated; 32ms 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

localize23.0ms (0.3%)

Memory
-13.5MiB live, 81.5MiB allocated; 5ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 (exp.f64 a) (exp.f64 b))
accuracy0.0
(exp.f64 b)
accuracy0.0
(exp.f64 a)
accuracy0.7382895031524757
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Samples
15.0ms256×0valid
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 (52.4% of total)
ival-div: 2.0ms (26.2% of total)
ival-add: 1.0ms (13.1% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
-20.4MiB live, 27.2MiB allocated; 1ms 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
2.0ms
b
@0
((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp b))
1.0ms
a
@0
((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp b))
1.0ms
a
@inf
((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp b))
1.0ms
a
@-inf
((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp b))
1.0ms
b
@inf
((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp b))

simplify185.0ms (2.6%)

Memory
42.7MiB live, 420.7MiB allocated; 24ms 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))

rewrite163.0ms (2.3%)

Memory
-3.3MiB live, 382.0MiB allocated; 28ms 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))))
(fma.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 (-.f64 (exp.f64 b) (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)))) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))
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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))

eval59.0ms (0.8%)

Memory
-2.2MiB live, 189.8MiB allocated; 11ms collecting garbage
Compiler

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

prune12.0ms (0.2%)

Memory
0.2MiB live, 49.4MiB allocated; 5ms collecting garbage
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New4604464
Fresh000
Picked101
Done000
Total4614465
Accuracy
99.4%
Counts
465 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶67.7%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
▶79.4%
(/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (+.f64 (exp.f64 a) (exp.f64 b)))
▶65.4%
#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))))
▶80.1%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
Compiler

Compiled 63 to 44 computations (30.2% saved)

simplify126.0ms (1.8%)

Memory
-0.4MiB live, 386.4MiB allocated; 20ms collecting garbage
Localize:

Found 16 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
026161
043161
162161
2136161
3358161
41629161
08799161
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))
#s(literal 1 binary64)
(-.f64 (exp.f64 b) #s(literal -1 binary64))
(exp.f64 b)
b
#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))
(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)
(/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (+.f64 (exp.f64 a) (exp.f64 b)))
#s(approx (exp a) (-.f64 a #s(literal -1 binary64)))
(-.f64 a #s(literal -1 binary64))
a
#s(literal -1 binary64)
(+.f64 (exp.f64 a) (exp.f64 b))
(exp.f64 a)
(exp.f64 b)
b
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(exp.f64 a)
a
(+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))
#s(approx (exp b) #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))
#s(literal 1 binary64)
(-.f64 (exp.f64 b) #s(literal -1 binary64))
(exp.f64 b)
b
#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))))
#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)
(/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (+.f64 (exp.f64 a) (exp.f64 b)))
#s(approx (exp a) (-.f64 a #s(literal -1 binary64)))
(-.f64 a #s(literal -1 binary64))
a
#s(literal -1 binary64)
(+.f64 (exp.f64 a) (exp.f64 b))
(exp.f64 a)
(exp.f64 b)
b
(/.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)

localize53.0ms (0.7%)

Memory
-26.6MiB live, 214.1MiB allocated; 7ms collecting garbage
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))
accuracy0.0
(exp.f64 a)
accuracy0.7382895031524757
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
accuracy26.966799264205502
#s(approx (exp b) #s(literal 1 binary64))
accuracy0.0
(exp.f64 b)
accuracy0.0
(exp.f64 a)
accuracy0.7382895031524757
(/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (+.f64 (exp.f64 a) (exp.f64 b)))
accuracy17.968813472501754
#s(approx (exp a) (-.f64 a #s(literal -1 binary64)))
accuracy0.015625
(/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))
accuracy0.6093750000000001
(fma.f64 (neg.f64 (exp.f64 a)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (exp.f64 a))
accuracy0.7421957531524757
(/.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)))
accuracy21.360139091334318
#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))))
accuracy0.0
(-.f64 (exp.f64 b) #s(literal -1 binary64))
accuracy0.0
(exp.f64 b)
accuracy0.01171875
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))
accuracy12.72159537165655
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
Samples
39.0ms256×0valid
Compiler

Compiled 126 to 19 computations (84.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-div: 7.0ms (30.7% of total)
ival-exp: 5.0ms (21.9% of total)
ival-sub: 5.0ms (21.9% of total)
ival-add: 2.0ms (8.8% of total)
ival-mult: 2.0ms (8.8% of total)
ival-neg: 1.0ms (4.4% 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)

series22.0ms (0.3%)

Memory
20.3MiB live, 67.2MiB allocated; 3ms collecting garbage
Counts
17 → 71
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))
(-.f64 (exp.f64 b) #s(literal -1 binary64))
(exp.f64 b)
#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 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (+.f64 (exp.f64 a) (exp.f64 b)))
#s(approx (exp a) (-.f64 a #s(literal -1 binary64)))
(-.f64 a #s(literal -1 binary64))
(+.f64 (exp.f64 a) (exp.f64 b))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #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 b (-.f64 (exp.f64 a) #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 (+ (* (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 (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 (- a -1) #s(hole binary64 1))
#s(approx (- a -1) #s(hole binary64 (+ 1 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 (/ 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 (/ (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 (+ (* (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 (exp a) #s(hole binary64 (exp a)))
#s(approx (- a -1) #s(hole binary64 a))
#s(approx (- a -1) #s(hole binary64 (* a (+ 1 (/ 1 a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b))))
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (/ b (+ 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 (/ (+ (* (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 (+ (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 (/ 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
7.0ms
a
@-inf
((/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (exp b) (/ (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 a) (exp b))) (exp a) (- a -1) (+ (exp a) (exp b)) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp b) (/ b (- (exp a) -1)))
4.0ms
a
@0
((/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (exp b) (/ (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 a) (exp b))) (exp a) (- a -1) (+ (exp a) (exp b)) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp b) (/ b (- (exp a) -1)))
3.0ms
a
@inf
((/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (exp b) (/ (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 a) (exp b))) (exp a) (- a -1) (+ (exp a) (exp b)) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp b) (/ b (- (exp a) -1)))
2.0ms
b
@inf
((/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (exp b) (/ (exp a) (+ (exp a) (exp b))) (/ (+ (* (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 a) (exp b))) (exp a) (- a -1) (+ (exp a) (exp b)) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp b) (/ b (- (exp a) -1)))
2.0ms
b
@-inf
((/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (exp b) (/ (exp a) (+ (exp a) (exp b))) (/ (+ (* (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 a) (exp b))) (exp a) (- a -1) (+ (exp a) (exp b)) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp b) (/ b (- (exp a) -1)))

simplify150.0ms (2.1%)

Memory
-0.5MiB live, 284.4MiB allocated; 32ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03551859
19851621
242151495
086681422
Stop Event
1×iter limit
1×node limit
Counts
71 → 71
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 (+ (* (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 (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 (- a -1) #s(hole binary64 1))
#s(approx (- a -1) #s(hole binary64 (+ 1 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 (/ 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 (/ (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 (+ (* (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 (exp a) #s(hole binary64 (exp a)))
#s(approx (- a -1) #s(hole binary64 a))
#s(approx (- a -1) #s(hole binary64 (* a (+ 1 (/ 1 a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b))))
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (/ b (+ 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 (/ (+ (* (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 (+ (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 (/ 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 (/ (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 #s(literal 1 binary64) (exp.f64 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))) (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 (/ (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 (/.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 (/ (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 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) #s(literal 1/6 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 4 binary64)))))) a (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.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 (/ (+ (* (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) 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)))))))) (+ (* 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 (*.f64 (fma.f64 #s(literal 1/48 binary64) b #s(literal 1/6 binary64)) #s(literal 1/2 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 (+ (* (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)) (fma.f64 #s(literal -1/2 binary64) b #s(literal 1 binary64)))
#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)) (fma.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1 binary64)) a (fma.f64 #s(literal -1/2 binary64) b #s(literal 1 binary64))))
#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)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1 binary64))) a (fma.f64 #s(literal -1/2 binary64) b #s(literal 1 binary64))))
#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)) (/ b (- (exp a) -1))) (exp a)) (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) b #s(literal 1/6 binary64)) a #s(literal 1/2 binary64)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1 binary64))) a (fma.f64 #s(literal -1/2 binary64) b #s(literal 1 binary64))))
#s(approx (neg (exp a)) #s(hole binary64 -1))
#s(approx (neg (exp a)) #s(literal -1 binary64))
#s(approx (neg (exp a)) #s(hole binary64 (- (* -1 a) 1)))
#s(approx (neg (exp a)) (-.f64 (neg.f64 a) #s(literal 1 binary64)))
#s(approx (neg (exp a)) #s(hole binary64 (- (* a (- (* -1/2 a) 1)) 1)))
#s(approx (neg (exp a)) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) a) #s(literal 1 binary64)) a) #s(literal 1 binary64)))
#s(approx (neg (exp a)) #s(hole binary64 (- (* a (- (* a (- (* -1/6 a) 1/2)) 1)) 1)))
#s(approx (neg (exp a)) (-.f64 (*.f64 (-.f64 (*.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) #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 (- a -1) #s(hole binary64 1))
#s(approx (- a -1) #s(literal 1 binary64))
#s(approx (- a -1) #s(hole binary64 (+ 1 a)))
#s(approx (- a -1) (-.f64 a #s(literal -1 binary64)))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (exp a) (exp b)) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
#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 #s(literal 1 binary64) (exp.f64 b))))
#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 #s(literal 1 binary64) (exp.f64 b))))
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (* 1/2 b)))
#s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b))
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (+ (* -1/4 (* a b)) (* 1/2 b))))
#s(approx (/ b (- (exp a) -1)) (*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64))))
#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)) (*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64))))
#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 (/ b (- (exp a) -1)) (fma.f64 (fma.f64 (*.f64 (*.f64 b a) #s(literal 1/48 binary64)) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)))
#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 (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 (exp a) #s(hole binary64 (exp a)))
#s(approx (exp a) (exp.f64 a))
#s(approx (- a -1) #s(hole binary64 a))
#s(approx (- a -1) a)
#s(approx (- a -1) #s(hole binary64 (* a (+ 1 (/ 1 a)))))
#s(approx (- a -1) (-.f64 a #s(literal -1 binary64)))
#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 (/ 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 (/ (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 #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 (/ (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 (/ (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 (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1/2 binary64)) (neg.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1/6 binary64))))) 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)))) 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 (/ (+ (* (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 (+ (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 b (exp.f64 a)) #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 (/ 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 (-.f64 (/.f64 (exp.f64 a) b) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (+.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 (-.f64 (/.f64 (exp.f64 a) b) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (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 (-.f64 (/.f64 (exp.f64 a) b) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (+.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 (-.f64 (/.f64 (exp.f64 a) b) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b))

rewrite50.0ms (0.7%)

Memory
16.2MiB live, 60.9MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026140
043140
1139140
0984140
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
17 → 131
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))
(-.f64 (exp.f64 b) #s(literal -1 binary64))
(exp.f64 b)
#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 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (+.f64 (exp.f64 a) (exp.f64 b)))
#s(approx (exp a) (-.f64 a #s(literal -1 binary64)))
(-.f64 a #s(literal -1 binary64))
(+.f64 (exp.f64 a) (exp.f64 b))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #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 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))
Outputs
#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))))
(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))
#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 (/.f64 (fma.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (neg.f64 (exp.f64 a)) (exp.f64 a)) (expm1.f64 (+.f64 a a))) (+.f64 (exp.f64 a) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (neg.f64 (exp.f64 a)) (exp.f64 a)) (-.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (exp.f64 a) (exp.f64 a) (fma.f64 (exp.f64 a) #s(literal -1 binary64) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (neg.f64 (exp.f64 a))) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 (*.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (neg.f64 (exp.f64 a))) (-.f64 (exp.f64 a) #s(literal -1 binary64)))) (*.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))))) (-.f64 (/.f64 (*.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (neg.f64 (exp.f64 a))) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (neg.f64 (exp.f64 a))) (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (neg.f64 (exp.f64 a))) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 (*.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (neg.f64 (exp.f64 a))) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (-.f64 (*.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64)))) (*.f64 (/.f64 (*.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (neg.f64 (exp.f64 a))) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (neg.f64 (exp.f64 a)) (exp.f64 a)))) (neg.f64 (neg.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
(/.f64 (fma.f64 (*.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (neg.f64 (exp.f64 a))) (-.f64 (exp.f64 a) #s(literal -1 binary64)) (*.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) (exp.f64 a))) (*.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (neg.f64 (exp.f64 a))) #s(literal 2 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (*.f64 (-.f64 (*.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 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (neg.f64 (exp.f64 a))) #s(literal 3 binary64))) (*.f64 (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 (exp.f64 a) #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (neg.f64 (exp.f64 a)) (exp.f64 a))) (neg.f64 (-.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)))
(neg.f64 (/.f64 (neg.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))))
(neg.f64 (/.f64 (fma.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (neg.f64 (exp.f64 a)) (exp.f64 a)) (neg.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
(fma.f64 (/.f64 (*.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (neg.f64 (exp.f64 a))) (expm1.f64 (+.f64 a a))) (+.f64 (exp.f64 a) #s(literal -1 binary64)) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(fma.f64 (/.f64 (*.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (neg.f64 (exp.f64 a))) (-.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (exp.f64 a) (exp.f64 a) (fma.f64 (exp.f64 a) #s(literal -1 binary64) #s(literal 1 binary64))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(fma.f64 (/.f64 (exp.f64 a) (expm1.f64 (+.f64 a a))) (+.f64 (exp.f64 a) #s(literal -1 binary64)) (/.f64 (*.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (neg.f64 (exp.f64 a))) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(fma.f64 (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (exp.f64 a) (exp.f64 a) (fma.f64 (exp.f64 a) #s(literal -1 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (neg.f64 (exp.f64 a))) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(fma.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 (neg.f64 (exp.f64 a)) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(fma.f64 (neg.f64 (exp.f64 a)) (/.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(+.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 (*.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (neg.f64 (exp.f64 a))) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(+.f64 (/.f64 (*.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (neg.f64 (exp.f64 a))) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (neg.f64 (exp.f64 a))) #s(literal 2 binary64))) (-.f64 (exp.f64 a) (*.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (neg.f64 (exp.f64 a)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (neg.f64 (exp.f64 a))) #s(literal 2 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (neg.f64 (exp.f64 a))) (exp.f64 a))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (neg.f64 (exp.f64 a))) #s(literal 3 binary64)))) (neg.f64 (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 (-.f64 (pow.f64 (*.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (neg.f64 (exp.f64 a))) #s(literal 2 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (-.f64 (*.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (neg.f64 (exp.f64 a))) (exp.f64 a)))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (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) (exp.f64 a) (-.f64 (pow.f64 (*.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (neg.f64 (exp.f64 a))) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (neg.f64 (exp.f64 a))) (exp.f64 a)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (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))))
(fma.f64 (/.f64 (neg.f64 (*.f64 (exp.f64 a) b)) (expm1.f64 (+.f64 a a))) (+.f64 (exp.f64 a) #s(literal -1 binary64)) (exp.f64 a))
(fma.f64 (/.f64 (neg.f64 (*.f64 (exp.f64 a) b)) (-.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (exp.f64 a) (exp.f64 a) (fma.f64 (exp.f64 a) #s(literal -1 binary64) #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))
(fma.f64 (neg.f64 (exp.f64 a)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (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)) (-.f64 (*.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (neg.f64 (exp.f64 a))) (exp.f64 a))) (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.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 (neg.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))) (neg.f64 (exp.f64 a))))
(-.f64 (exp.f64 a) (*.f64 (neg.f64 (neg.f64 (exp.f64 a))) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
(-.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))))
(neg.f64 (exp.f64 a))
(+.f64 (neg.f64 (cosh.f64 a)) (neg.f64 (sinh.f64 a)))
(*.f64 (/.f64 #s(approx (exp a) (-.f64 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) (-.f64 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) (-.f64 a #s(literal -1 binary64))))) (neg.f64 (neg.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (neg.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64)))) (neg.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (+.f64 (exp.f64 a) (exp.f64 b)))
(neg.f64 (/.f64 (neg.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64)))) (+.f64 (exp.f64 a) (exp.f64 b))))
(neg.f64 (/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (neg.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
#s(approx (exp a) (-.f64 a #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 a a #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal -1 binary64) a)))
(/.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 a a (fma.f64 #s(literal -1 binary64) a #s(literal 1 binary64)))))
(/.f64 (fma.f64 a a #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) a))
(/.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 a a (fma.f64 #s(literal -1 binary64) a #s(literal 1 binary64))))
(-.f64 (/.f64 (*.f64 a a) (+.f64 #s(literal -1 binary64) a)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) a)))
(-.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a a (fma.f64 #s(literal -1 binary64) a #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 a a (fma.f64 #s(literal -1 binary64) a #s(literal 1 binary64)))))
(-.f64 a #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (-.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (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))))
(-.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 (+.f64 (exp.f64 a) (cosh.f64 b)) (sinh.f64 b))
(+.f64 (+.f64 (exp.f64 b) (cosh.f64 a)) (sinh.f64 a))
(+.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 a) (exp.f64 b))
(+.f64 (exp.f64 b) (exp.f64 a))
(*.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 (neg.f64 (exp.f64 a))) (neg.f64 (neg.f64 (+.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) (+.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 (*.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)))))
(exp.f64 a)
(+.f64 (sinh.f64 a) (cosh.f64 a))
(+.f64 (cosh.f64 a) (sinh.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))))
(-.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 (+.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 b (expm1.f64 (+.f64 a a))) (+.f64 (exp.f64 a) #s(literal -1 binary64)))
(*.f64 (/.f64 b (-.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (exp.f64 a) (exp.f64 a) (fma.f64 (exp.f64 a) #s(literal -1 binary64) #s(literal 1 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)))))

eval35.0ms (0.5%)

Memory
-25.6MiB live, 62.9MiB allocated; 22ms collecting garbage
Compiler

Compiled 6 662 to 910 computations (86.3% saved)

prune11.0ms (0.1%)

Memory
25.4MiB live, 25.4MiB allocated; 0ms collecting garbage
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New22510235
Fresh000
Picked224
Done000
Total22712239
Accuracy
99.6%
Counts
239 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓67.7%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
87.2%
(/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #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 #s(literal 1 binary64) (exp.f64 b)))))
▶87.7%
(/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
81.0%
(/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (+ (exp a) (exp b)) (-.f64 (+.f64 (exp.f64 b) a) #s(literal -1 binary64))))
✓80.1%
#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)))))
▶50.0%
#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)))))
39.1%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
▶39.7%
#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 #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)))))
▶39.9%
#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) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
39.1%
#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))))
▶41.6%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
Compiler

Compiled 595 to 382 computations (35.8% saved)

simplify171.0ms (2.4%)

Memory
-32.2MiB live, 217.7MiB allocated; 73ms collecting garbage
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff2
(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)))
cost-diff2
(*.f64 (fma.f64 #s(literal 1/48 binary64) b #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
cost-diff2
(-.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) b #s(literal 1/6 binary64)) #s(literal 1/2 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))))
cost-diff3
(-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -1/16 binary64) b #s(literal 1/8 binary64)))
cost-diff0
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))
cost-diff0
#s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))
cost-diff0
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
cost-diff0
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
cost-diff0
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (fma.f64 #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 #s(literal 1/4 binary64) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
cost-diff1
(fma.f64 #s(literal 1/4 binary64) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
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
#s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) (exp.f64 b))))
cost-diff0
(-.f64 a #s(literal -1 binary64))
cost-diff0
#s(approx (exp a) (-.f64 a #s(literal -1 binary64)))
cost-diff0
(/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057532
091532
1154509
2392482
31300463
46063463
08354438
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
#s(approx (exp a) (-.f64 a #s(literal -1 binary64)))
(-.f64 a #s(literal -1 binary64))
a
#s(literal -1 binary64)
#s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(exp.f64 b)
b
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
#s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (fma.f64 #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) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/4 binary64) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 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)
b
#s(literal 1/2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))
#s(literal 1 binary64)
#s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
#s(literal 1/2 binary64)
b
#s(literal 2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #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 #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 (/ (+ (* (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 #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))))
(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 #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)))
(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 #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))
(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 #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))))
(-.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) b #s(literal 1/6 binary64)) #s(literal 1/2 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))))
(*.f64 (fma.f64 #s(literal 1/48 binary64) b #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/48 binary64) b #s(literal 1/6 binary64))
#s(literal 1/48 binary64)
b
#s(literal 1/6 binary64)
#s(literal 1/2 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)))
(-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -1/16 binary64) b #s(literal 1/8 binary64)))
#s(literal 1/8 binary64)
(fma.f64 #s(literal -1/16 binary64) b #s(literal 1/8 binary64))
#s(literal -1/16 binary64)
(-.f64 #s(literal 5/48 binary64) (*.f64 #s(literal 1/48 binary64) b))
#s(literal 5/48 binary64)
(*.f64 #s(literal 1/48 binary64) b)
a
#s(literal 1/4 binary64)
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
#s(literal -1/4 binary64)
Outputs
(/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #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) (-.f64 a #s(literal -1 binary64)))
(-.f64 a #s(literal -1 binary64))
a
#s(literal -1 binary64)
#s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) (exp.f64 b))))
#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))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (-.f64 (exp.f64 b) #s(literal -1 binary64)))
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(-.f64 (exp.f64 b) #s(literal -1 binary64))
(exp.f64 b)
b
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
#s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (fma.f64 #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 a b) #s(literal 1/4 binary64) #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) 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 a b) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/4 binary64) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
(fma.f64 (-.f64 a b) #s(literal 1/4 binary64) #s(literal 1/2 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)
b
#s(literal 1/2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))
#s(literal 1 binary64)
#s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
#s(literal 1/2 binary64)
b
#s(literal 2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #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 #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))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/32 binary64) b (fma.f64 #s(literal 1/48 binary64) b (fma.f64 #s(literal 1/96 binary64) b #s(literal -1/48 binary64)))) a (*.f64 #s(literal 1/16 binary64) b)) 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)) (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 #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 (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/32 binary64) b (fma.f64 #s(literal 1/48 binary64) b (fma.f64 #s(literal 1/96 binary64) b #s(literal -1/48 binary64)))) a (*.f64 #s(literal 1/16 binary64) b)) a #s(literal 1/4 binary64)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
(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 #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)))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/32 binary64) b (fma.f64 #s(literal 1/48 binary64) b (fma.f64 #s(literal 1/96 binary64) b #s(literal -1/48 binary64)))) a (*.f64 #s(literal 1/16 binary64) b)) a #s(literal 1/4 binary64)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
(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 #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))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/32 binary64) b (fma.f64 #s(literal 1/48 binary64) b (fma.f64 #s(literal 1/96 binary64) b #s(literal -1/48 binary64)))) a (*.f64 #s(literal 1/16 binary64) b)) a #s(literal 1/4 binary64))
(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 #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))))
(fma.f64 (fma.f64 #s(literal -1/32 binary64) b (fma.f64 #s(literal 1/48 binary64) b (fma.f64 #s(literal 1/96 binary64) b #s(literal -1/48 binary64)))) a (*.f64 #s(literal 1/16 binary64) b))
(-.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) b #s(literal 1/6 binary64)) #s(literal 1/2 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))))
(fma.f64 #s(literal -1/32 binary64) b (fma.f64 #s(literal 1/48 binary64) b (fma.f64 #s(literal 1/96 binary64) b #s(literal -1/48 binary64))))
(*.f64 (fma.f64 #s(literal 1/48 binary64) b #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/96 binary64) b #s(literal 1/12 binary64))
(fma.f64 #s(literal 1/48 binary64) b #s(literal 1/6 binary64))
#s(literal 1/48 binary64)
b
#s(literal 1/6 binary64)
#s(literal 1/2 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)))
(fma.f64 #s(literal 1/32 binary64) b (fma.f64 #s(literal -1/48 binary64) b #s(literal 5/48 binary64)))
(-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -1/16 binary64) b #s(literal 1/8 binary64)))
(*.f64 #s(literal 1/16 binary64) b)
#s(literal 1/8 binary64)
(fma.f64 #s(literal -1/16 binary64) b #s(literal 1/8 binary64))
#s(literal -1/16 binary64)
(-.f64 #s(literal 5/48 binary64) (*.f64 #s(literal 1/48 binary64) b))
(fma.f64 #s(literal -1/48 binary64) b #s(literal 5/48 binary64))
#s(literal 5/48 binary64)
(*.f64 #s(literal 1/48 binary64) b)
a
#s(literal 1/4 binary64)
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
#s(literal -1/4 binary64)

localize424.0ms (5.9%)

Memory
88.2MiB live, 797.1MiB allocated; 192ms collecting garbage
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy17.488084571950946
#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 #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))))
accuracy21.13457199847482
#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 #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)))))
accuracy26.61535061539153
(-.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) b #s(literal 1/6 binary64)) #s(literal 1/2 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))))
accuracy34.030935363593095
(-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -1/16 binary64) b #s(literal 1/8 binary64)))
accuracy0.0
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
accuracy0.01171875
(/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))
accuracy12.72159537165655
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
accuracy19.259130172012522
#s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
accuracy0.0
(fma.f64 #s(literal 1/4 binary64) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
accuracy0.0
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
accuracy17.6830271185323
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (fma.f64 #s(literal 1/4 binary64) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
accuracy21.13457199847482
#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) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
accuracy12.72159537165655
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
accuracy24.800212486060847
#s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64))
accuracy0.0
(exp.f64 b)
accuracy0.7382895031524757
(/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
accuracy12.625890750662096
#s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) (exp.f64 b))))
accuracy17.968813472501754
#s(approx (exp a) (-.f64 a #s(literal -1 binary64)))
Samples
326.0ms233×1valid
22.0ms19×2valid
2.0ms1×5exit
1.0ms3×0valid
Compiler

Compiled 370 to 57 computations (84.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 299.0ms
ival-add: 82.0ms (27.4% of total)
adjust: 72.0ms (24.1% of total)
const: 59.0ms (19.7% of total)
ival-mult: 39.0ms (13% of total)
ival-sub: 24.0ms (8% of total)
ival-div: 12.0ms (4% of total)
ival-exp: 8.0ms (2.7% of total)
ival-neg: 2.0ms (0.7% of total)
exact: 1.0ms (0.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series30.0ms (0.4%)

Memory
-4.4MiB live, 41.8MiB allocated; 14ms collecting garbage
Counts
22 → 86
Calls
Call 1
Inputs
(/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
#s(approx (exp a) (-.f64 a #s(literal -1 binary64)))
(-.f64 a #s(literal -1 binary64))
#s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) (exp.f64 b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
#s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64))
(fma.f64 #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) 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) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))
#s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))
(-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -1/16 binary64) b #s(literal 1/8 binary64)))
(-.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) b #s(literal 1/6 binary64)) #s(literal 1/2 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))))
(*.f64 (fma.f64 #s(literal 1/48 binary64) b #s(literal 1/6 binary64)) #s(literal 1/2 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)))
(exp.f64 b)
(fma.f64 #s(literal 1/2 binary64) 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 #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 (/ (+ (* (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 #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(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 (- a -1) #s(hole binary64 1))
#s(approx (- a -1) #s(hole binary64 (+ 1 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 (+ (* 1/4 a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (+ (* 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) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ (exp a) (exp b)))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (- a -1) #s(hole binary64 a))
#s(approx (- a -1) #s(hole binary64 (* a (+ 1 (/ 1 a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b))))
#s(approx (+ (* 1/4 a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (* 1/4 a)))
#s(approx (+ (* 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 (+ (* 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 (+ (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 (/ 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 (+ (* 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) -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 (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 2))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (+ 2 b)))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#s(approx (- 1/8 (+ (* -1/16 b) 1/8)) #s(hole binary64 (* 1/16 b)))
#s(approx (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) #s(hole binary64 -1/48))
#s(approx (* (+ (* 1/48 b) 1/6) 1/2) #s(hole binary64 1/12))
#s(approx (* (+ (* 1/48 b) 1/6) 1/2) #s(hole binary64 (+ 1/12 (* 1/96 b))))
#s(approx (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b))) #s(hole binary64 5/48))
#s(approx (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b))) #s(hole binary64 (+ 5/48 (* 1/96 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 (+ (* 1/2 b) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (+ 1 (* 1/2 b))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (+ (* 1/4 a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (* -1/4 b)))
#s(approx (+ (* 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) -1) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (* 1/2 (pow b 2))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (* (pow b 2) (+ 1/2 (/ 1 b)))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))))
#s(approx (* (+ (* 1/48 b) 1/6) 1/2) #s(hole binary64 (* 1/96 b)))
#s(approx (* (+ (* 1/48 b) 1/6) 1/2) #s(hole binary64 (* b (+ 1/96 (* 1/12 (/ 1 b))))))
#s(approx (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b))) #s(hole binary64 (* 1/96 b)))
#s(approx (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b))) #s(hole binary64 (* b (+ 1/96 (* 5/48 (/ 1 b))))))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (* 1/2 b)))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (* b (+ 1/2 (/ 1 b)))))
#s(approx (+ (* 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
12.0ms
a
@0
((/ (exp a) (+ (exp a) (exp b))) (exp a) (- a -1) (+ (exp a) (exp b)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (+ (* 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)) (+ (* -1/4 b) 1/2) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ (* (+ (* 1/2 b) 1) b) 2) (- 1/8 (+ (* -1/16 b) 1/8)) (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b))) (exp b) (+ (* 1/2 b) 1) (/ (exp a) (+ (exp a) (exp b))) (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)))
6.0ms
b
@inf
((/ (exp a) (+ (exp a) (exp b))) (exp a) (- a -1) (+ (exp a) (exp b)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (+ (* 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)) (+ (* -1/4 b) 1/2) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ (* (+ (* 1/2 b) 1) b) 2) (- 1/8 (+ (* -1/16 b) 1/8)) (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b))) (exp b) (+ (* 1/2 b) 1) (/ (exp a) (+ (exp a) (exp b))) (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)))
3.0ms
b
@-inf
((/ (exp a) (+ (exp a) (exp b))) (exp a) (- a -1) (+ (exp a) (exp b)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (+ (* 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)) (+ (* -1/4 b) 1/2) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ (* (+ (* 1/2 b) 1) b) 2) (- 1/8 (+ (* -1/16 b) 1/8)) (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b))) (exp b) (+ (* 1/2 b) 1) (/ (exp a) (+ (exp a) (exp b))) (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)))
2.0ms
b
@0
((/ (exp a) (+ (exp a) (exp b))) (exp a) (- a -1) (+ (exp a) (exp b)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (+ (* 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)) (+ (* -1/4 b) 1/2) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ (* (+ (* 1/2 b) 1) b) 2) (- 1/8 (+ (* -1/16 b) 1/8)) (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b))) (exp b) (+ (* 1/2 b) 1) (/ (exp a) (+ (exp a) (exp b))) (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)))
2.0ms
a
@inf
((/ (exp a) (+ (exp a) (exp b))) (exp a) (- a -1) (+ (exp a) (exp b)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (+ (* 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)) (+ (* -1/4 b) 1/2) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ (* (+ (* 1/2 b) 1) b) 2) (- 1/8 (+ (* -1/16 b) 1/8)) (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b))) (exp b) (+ (* 1/2 b) 1) (/ (exp a) (+ (exp a) (exp b))) (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)))

simplify171.0ms (2.4%)

Memory
-2.5MiB live, 272.9MiB allocated; 32ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03761924
110061776
237771755
088381606
Stop Event
1×iter limit
1×node limit
Counts
86 → 86
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 (- a -1) #s(hole binary64 1))
#s(approx (- a -1) #s(hole binary64 (+ 1 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 (+ (* 1/4 a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (+ (* 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) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ (exp a) (exp b)))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (- a -1) #s(hole binary64 a))
#s(approx (- a -1) #s(hole binary64 (* a (+ 1 (/ 1 a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b))))
#s(approx (+ (* 1/4 a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (* 1/4 a)))
#s(approx (+ (* 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 (+ (* 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 (+ (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 (/ 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 (+ (* 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) -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 (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 2))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (+ 2 b)))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#s(approx (- 1/8 (+ (* -1/16 b) 1/8)) #s(hole binary64 (* 1/16 b)))
#s(approx (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) #s(hole binary64 -1/48))
#s(approx (* (+ (* 1/48 b) 1/6) 1/2) #s(hole binary64 1/12))
#s(approx (* (+ (* 1/48 b) 1/6) 1/2) #s(hole binary64 (+ 1/12 (* 1/96 b))))
#s(approx (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b))) #s(hole binary64 5/48))
#s(approx (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b))) #s(hole binary64 (+ 5/48 (* 1/96 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 (+ (* 1/2 b) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (+ 1 (* 1/2 b))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (+ (* 1/4 a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (* -1/4 b)))
#s(approx (+ (* 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) -1) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (* 1/2 (pow b 2))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (* (pow b 2) (+ 1/2 (/ 1 b)))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))))
#s(approx (* (+ (* 1/48 b) 1/6) 1/2) #s(hole binary64 (* 1/96 b)))
#s(approx (* (+ (* 1/48 b) 1/6) 1/2) #s(hole binary64 (* b (+ 1/96 (* 1/12 (/ 1 b))))))
#s(approx (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b))) #s(hole binary64 (* 1/96 b)))
#s(approx (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b))) #s(hole binary64 (* b (+ 1/96 (* 5/48 (/ 1 b))))))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (* 1/2 b)))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (* b (+ 1/2 (/ 1 b)))))
#s(approx (+ (* 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))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 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))) (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 (/ (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 (/.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 (/ (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 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) #s(literal 1/6 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 4 binary64)))))) a (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (/.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)))) 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 (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 (- a -1) #s(hole binary64 1))
#s(approx (- a -1) #s(literal 1 binary64))
#s(approx (- a -1) #s(hole binary64 (+ 1 a)))
#s(approx (- a -1) (-.f64 a #s(literal -1 binary64)))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (exp a) (exp b)) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
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#s(approx (+ (exp a) (exp b)) (+.f64 (+.f64 (exp.f64 b) a) #s(literal 1 binary64)))
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#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))
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#s(approx (+ (* 1/4 a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
#s(approx (+ (* 1/4 a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* 1/4 a)))))
#s(approx (+ (* 1/4 a) (+ (* -1/4 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)))
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#s(approx (exp a) (exp.f64 a))
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#s(approx (- a -1) a)
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#s(approx (+ (* 1/4 a) (+ (* -1/4 b) 1/2)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a) #s(literal -1/4 binary64)) 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 #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 (/ (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))))))
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#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))))))
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#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 b (exp.f64 a)) #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 (/ 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 (+ (* 1/4 a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (+ 1/2 (* 1/4 a))))
#s(approx (+ (* 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 #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 (+ (* -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) -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 (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 2))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(literal 2 binary64))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (+ 2 b)))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (+.f64 #s(literal 2 binary64) b))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#s(approx (+ (* (+ (* 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 (- 1/8 (+ (* -1/16 b) 1/8)) #s(hole binary64 (* 1/16 b)))
#s(approx (- 1/8 (+ (* -1/16 b) 1/8)) (*.f64 #s(literal 1/16 binary64) b))
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#s(approx (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) #s(literal -1/48 binary64))
#s(approx (* (+ (* 1/48 b) 1/6) 1/2) #s(hole binary64 1/12))
#s(approx (* (+ (* 1/48 b) 1/6) 1/2) #s(literal 1/12 binary64))
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#s(approx (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b))) #s(literal 5/48 binary64))
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#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 (+ (* 1/2 b) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 b) 1) #s(literal 1 binary64))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (+ 1 (* 1/2 b))))
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#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)))))
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#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 #s(literal 1 binary64) (exp.f64 a)))) (+.f64 #s(literal 1 binary64) (exp.f64 a))) 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) -1) #s(hole binary64 (+ 1 (exp b))))
#s(approx (- (exp b) -1) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (* 1/2 (pow b 2))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (* (pow b 2) (+ 1/2 (/ 1 b)))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) b) b b))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))))
#s(approx (+ (* (+ (* 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 (* (+ (* 1/48 b) 1/6) 1/2) #s(hole binary64 (* 1/96 b)))
#s(approx (* (+ (* 1/48 b) 1/6) 1/2) (*.f64 #s(literal 1/96 binary64) b))
#s(approx (* (+ (* 1/48 b) 1/6) 1/2) #s(hole binary64 (* b (+ 1/96 (* 1/12 (/ 1 b))))))
#s(approx (* (+ (* 1/48 b) 1/6) 1/2) (fma.f64 #s(literal 1/96 binary64) b #s(literal 1/12 binary64)))
#s(approx (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b))) #s(hole binary64 (* 1/96 b)))
#s(approx (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b))) (*.f64 #s(literal 1/96 binary64) b))
#s(approx (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b))) #s(hole binary64 (* b (+ 1/96 (* 5/48 (/ 1 b))))))
#s(approx (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b))) (fma.f64 #s(literal 1/96 binary64) b #s(literal 5/48 binary64)))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (exp b) (exp.f64 b))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (* 1/2 b)))
#s(approx (+ (* 1/2 b) 1) (*.f64 #s(literal 1/2 binary64) b))
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (* b (+ 1/2 (/ 1 b)))))
#s(approx (+ (* 1/2 b) 1) (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)))
#s(approx (+ (* 1/4 a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (* -1 (* b (+ 1/4 (* -1 (/ (+ 1/2 (* 1/4 a)) b)))))))
#s(approx (+ (* 1/4 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 #s(literal 1 binary64) (exp.f64 a)))) (+.f64 #s(literal 1 binary64) (exp.f64 a))) 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))

rewrite122.0ms (1.7%)

Memory
7.5MiB live, 159.5MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057373
091373
1412359
03626355
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
22 → 177
Calls
Call 1
Inputs
(/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
#s(approx (exp a) (-.f64 a #s(literal -1 binary64)))
(-.f64 a #s(literal -1 binary64))
#s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) (exp.f64 b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
#s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64))
(fma.f64 #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) 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) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))
#s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))
(-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -1/16 binary64) b #s(literal 1/8 binary64)))
(-.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) b #s(literal 1/6 binary64)) #s(literal 1/2 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))))
(*.f64 (fma.f64 #s(literal 1/48 binary64) b #s(literal 1/6 binary64)) #s(literal 1/2 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)))
(exp.f64 b)
(fma.f64 #s(literal 1/2 binary64) 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 #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 (/ (+ (* (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 #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
(/.f64 (neg.f64 (neg.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))))) (neg.f64 (neg.f64 #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)))))))
(/.f64 (neg.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64)))) (neg.f64 #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))))))
(/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #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)))))
(neg.f64 (/.f64 (neg.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64)))) #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))))))
(neg.f64 (/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (neg.f64 #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) (-.f64 a #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 a a #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal -1 binary64) a)))
(/.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 a a (fma.f64 #s(literal -1 binary64) a #s(literal 1 binary64)))))
(/.f64 (fma.f64 a a #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) a))
(/.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 a a (fma.f64 #s(literal -1 binary64) a #s(literal 1 binary64))))
(-.f64 (/.f64 (*.f64 a a) (+.f64 #s(literal -1 binary64) a)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) a)))
(-.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a a (fma.f64 #s(literal -1 binary64) a #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 a a (fma.f64 #s(literal -1 binary64) a #s(literal 1 binary64)))))
(-.f64 a #s(literal -1 binary64))
#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 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))
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) b (*.f64 #s(literal 1/4 binary64) a)) (fma.f64 #s(literal -1/4 binary64) b (*.f64 #s(literal 1/4 binary64) a))) #s(literal 1/4 binary64)) (-.f64 (fma.f64 #s(literal -1/4 binary64) b (*.f64 #s(literal 1/4 binary64) a)) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 2 binary64))) (-.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) a)))
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) b (*.f64 #s(literal 1/4 binary64) a)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (fma.f64 #s(literal -1/4 binary64) b (*.f64 #s(literal 1/4 binary64) a)) (fma.f64 #s(literal -1/4 binary64) b (*.f64 #s(literal 1/4 binary64) a)) (-.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 #s(literal -1/4 binary64) b (*.f64 #s(literal 1/4 binary64) a)) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) a) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/64 binary64) (pow.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 a a) #s(literal 1/16 binary64) (*.f64 (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 #s(literal 1/4 binary64) a))))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/4 binary64) a) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
(/.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/64 binary64) (pow.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) a) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))))
(/.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/64 binary64) (pow.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 a a) #s(literal 1/16 binary64) (*.f64 (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 #s(literal 1/4 binary64) a)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) a) #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/4 binary64) b (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a)))
(fma.f64 #s(literal 1/4 binary64) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) a) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
(fma.f64 b #s(literal -1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a)))
(fma.f64 a #s(literal 1/4 binary64) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) a) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 #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 #s(literal -1/4 binary64) a))
(-.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) (*.f64 (neg.f64 a) #s(literal 1/4 binary64)))
(+.f64 (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)) (*.f64 #s(literal -1/4 binary64) b))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 3 binary64)) (fma.f64 (*.f64 a a) #s(literal 1/16 binary64) (*.f64 (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 #s(literal 1/4 binary64) a))))) (/.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 a a) #s(literal 1/16 binary64) (*.f64 (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 #s(literal 1/4 binary64) a))))))
(+.f64 (fma.f64 #s(literal -1/4 binary64) b (*.f64 #s(literal 1/4 binary64) a)) #s(literal 1/2 binary64))
(+.f64 (*.f64 #s(literal 1/4 binary64) a) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal -1/4 binary64) b) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a)))
(+.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) a))
(+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) b (*.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)) (fma.f64 #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) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b)))
(/.f64 (neg.f64 (fma.f64 (*.f64 b b) #s(literal 1/16 binary64) #s(literal -1/4 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (*.f64 b b) #s(literal 1/16 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal -1/8 binary64))))))
(/.f64 (fma.f64 (*.f64 b b) #s(literal 1/16 binary64) #s(literal -1/4 binary64)) (-.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 2 binary64)) (*.f64 b #s(literal -1/8 binary64)))))
(/.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 b b) #s(literal 1/16 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal -1/8 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 (pow.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 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))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 b) #s(literal -1/4 binary64)))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 3 binary64)) (fma.f64 (*.f64 b b) #s(literal 1/16 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal -1/8 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 (*.f64 b b) #s(literal 1/16 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal -1/8 binary64))))))
(+.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64))
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(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/110592 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal 1/216 binary64))) (fma.f64 #s(literal 1/2304 binary64) (*.f64 b b) (-.f64 #s(literal 1/36 binary64) (*.f64 b #s(literal 1/288 binary64)))))
(fma.f64 (*.f64 #s(literal 1/48 binary64) b) #s(literal 1/2 binary64) #s(literal 1/12 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/48 binary64) b) #s(literal 1/12 binary64))
(+.f64 (*.f64 (*.f64 #s(literal 1/48 binary64) b) #s(literal 1/2 binary64)) #s(literal 1/12 binary64))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/48 binary64) b)) #s(literal 1/12 binary64))
(+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 #s(literal 1/48 binary64) b) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/48 binary64) b)))
(/.f64 (-.f64 (*.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/16 binary64) b)) #s(literal 1/2 binary64) #s(literal 5/48 binary64)) (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/16 binary64) b)) #s(literal 1/2 binary64) #s(literal 5/48 binary64))) (pow.f64 (*.f64 #s(literal 1/48 binary64) b) #s(literal 2 binary64))) (+.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/16 binary64) b)) #s(literal 1/2 binary64) #s(literal 5/48 binary64)) (*.f64 #s(literal 1/48 binary64) b)))
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 5/48 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/16 binary64) b)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (-.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 5/48 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/16 binary64) b)) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/16 binary64) b)) #s(literal 1/2 binary64) #s(literal 5/48 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/48 binary64) b) #s(literal 3 binary64))) (fma.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/16 binary64) b)) #s(literal 1/2 binary64) #s(literal 5/48 binary64)) (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/16 binary64) b)) #s(literal 1/2 binary64) #s(literal 5/48 binary64)) (fma.f64 #s(literal 1/2304 binary64) (*.f64 b b) (*.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/16 binary64) b)) #s(literal 1/2 binary64) #s(literal 5/48 binary64)) (*.f64 #s(literal 1/48 binary64) b)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/16 binary64) b)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 5/48 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/16 binary64) b)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/48 binary64) b #s(literal 5/48 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/16 binary64) b)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 5/48 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/16 binary64) b)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 5/48 binary64)) (-.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 5/48 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/16 binary64) b)) #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/16 binary64) b)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 5/48 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/16 binary64) b)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/48 binary64) b #s(literal 5/48 binary64))))
(/.f64 (fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/16 binary64) b)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 5/48 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 5/48 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/16 binary64) b)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/16 binary64) b)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/48 binary64) b #s(literal 5/48 binary64))))))
(/.f64 (fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/16 binary64) b)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 5/48 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/16 binary64) b)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 5/48 binary64)) (-.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 5/48 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/16 binary64) b)) #s(literal 1/2 binary64))))))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/16 binary64) b)) #s(literal 1/2 binary64) (fma.f64 #s(literal -1/48 binary64) b #s(literal 5/48 binary64)))
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/16 binary64) b)) (fma.f64 #s(literal -1/48 binary64) b #s(literal 5/48 binary64)))
(-.f64 (/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/16 binary64) b)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/16 binary64) b)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/48 binary64) b #s(literal 5/48 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 5/48 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/16 binary64) b)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/48 binary64) b #s(literal 5/48 binary64)))))
(-.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/16 binary64) b)) #s(literal 1/2 binary64) #s(literal 5/48 binary64)) (*.f64 #s(literal 1/48 binary64) b))
(-.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 5/48 binary64)) (*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/16 binary64) b))) #s(literal 1/2 binary64)))
(-.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 5/48 binary64)) (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/16 binary64) b))))
(-.f64 #s(literal 5/48 binary64) (-.f64 (*.f64 #s(literal 1/48 binary64) b) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/16 binary64) b)) #s(literal 1/2 binary64))))
(+.f64 (/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/16 binary64) b)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/16 binary64) b)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 5/48 binary64)) (-.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 5/48 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/16 binary64) b)) #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 5/48 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/16 binary64) b)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 5/48 binary64)) (-.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 5/48 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/16 binary64) b)) #s(literal 1/2 binary64)))))))
(+.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/16 binary64) b)) #s(literal 1/2 binary64) #s(literal 5/48 binary64)) (*.f64 (neg.f64 b) #s(literal 1/48 binary64)))
(+.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/16 binary64) b)) #s(literal 1/2 binary64) #s(literal 5/48 binary64)) (*.f64 #s(literal -1/48 binary64) b))
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/16 binary64) b)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/48 binary64) b #s(literal 5/48 binary64)))
(+.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 5/48 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/16 binary64) b)) #s(literal 1/2 binary64)))
(+.f64 #s(literal 5/48 binary64) (fma.f64 #s(literal -1/48 binary64) b (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/16 binary64) b)) #s(literal 1/2 binary64))))
(*.f64 (exp.f64 b) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 b))
(*.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 b)))
(/.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)))))
(fma.f64 (cosh.f64 b) #s(literal 1 binary64) (*.f64 (sinh.f64 b) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cosh.f64 b) (*.f64 #s(literal 1 binary64) (sinh.f64 b)))
(exp.f64 (+.f64 #s(literal 0 binary64) b))
(exp.f64 b)
(+.f64 (*.f64 (cosh.f64 b) #s(literal 1 binary64)) (*.f64 (sinh.f64 b) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 b)) (*.f64 #s(literal 1 binary64) (sinh.f64 b)))
(+.f64 (sinh.f64 b) (cosh.f64 b))
(+.f64 (cosh.f64 b) (sinh.f64 b))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))
(/.f64 (neg.f64 (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))
(/.f64 (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) b #s(literal -1 binary64)))
(/.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b))))
(/.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) b #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) b #s(literal -1 binary64))))
(-.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) b))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 b) #s(literal 1/2 binary64)))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 3 binary64)) (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 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 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 #s(literal 1/48 binary64) b #s(literal 1/6 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/16 binary64) b)))) (fma.f64 #s(literal -1/48 binary64) b #s(literal 5/48 binary64))) a (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/16 binary64) b))) 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)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 #s(literal 1/48 binary64) b #s(literal 1/6 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/16 binary64) b)))) (fma.f64 #s(literal -1/48 binary64) b #s(literal 5/48 binary64))) a (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/16 binary64) b))) a #s(literal 1/4 binary64)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))

eval98.0ms (1.4%)

Memory
-15.5MiB live, 78.8MiB allocated; 67ms collecting garbage
Compiler

Compiled 13 685 to 1 609 computations (88.2% saved)

prune27.0ms (0.4%)

Memory
-9.5MiB live, 40.4MiB allocated; 10ms collecting garbage
Pruning

20 alts after pruning (17 fresh and 3 done)

PrunedKeptTotal
New26812280
Fresh055
Picked415
Done022
Total27220292
Accuracy
99.7%
Counts
292 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓67.7%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
76.9%
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
▶87.2%
(/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #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 #s(literal 1 binary64) (exp.f64 b)))))
54.3%
(/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) #s(approx (exp b) #s(literal 1 binary64))))))
81.0%
(/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (+ (exp a) (exp b)) (-.f64 (+.f64 (exp.f64 b) a) #s(literal -1 binary64))))
86.8%
(/.f64 #s(approx (exp a) #s(approx (- a -1) #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
✓80.1%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
54.9%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
49.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 #s(approx (+ (* 1/2 b) 1) (*.f64 #s(literal 1/2 binary64) b)) b #s(literal 2 binary64)))))
▶39.1%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
14.3%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) b) b b)))))
14.5%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))))
▶39.7%
#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 #s(approx (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) #s(literal -1/48 binary64)) 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)))))
42.2%
#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) a #s(approx (+ (* -1/4 b) 1/2) #s(literal 1/2 binary64)))))
39.1%
#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))))
39.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* 1/4 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))))
▶39.6%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* 1/4 a) (+ (* -1/4 b) 1/2)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a) #s(literal -1/4 binary64)) a))))
3.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* 1/4 a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal 1/4 binary64) a))))
▶3.9%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* 1/4 a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal -1/4 binary64) b))))
✓41.6%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
Compiler

Compiled 1 194 to 775 computations (35.1% saved)

simplify169.0ms (2.4%)

Memory
3.0MiB live, 185.5MiB allocated; 45ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (fma.f64 (fma.f64 #s(approx (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) #s(literal -1/48 binary64)) 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)))
cost-diff0
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (fma.f64 (fma.f64 (fma.f64 #s(approx (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) #s(literal -1/48 binary64)) 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))))
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 (fma.f64 (fma.f64 #s(approx (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) #s(literal -1/48 binary64)) 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)))))
cost-diff3
(-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -1/16 binary64) b #s(literal 1/8 binary64)))
cost-diff0
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a) #s(literal -1/4 binary64)) a)
cost-diff0
#s(approx (+ (* 1/4 a) (+ (* -1/4 b) 1/2)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a) #s(literal -1/4 binary64)) a))
cost-diff0
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* 1/4 a) (+ (* -1/4 b) 1/2)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a) #s(literal -1/4 binary64)) a)))
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 (+ (* 1/4 a) (+ (* -1/4 b) 1/2)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a) #s(literal -1/4 binary64)) a))))
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
(*.f64 #s(literal -1/4 binary64) b)
cost-diff0
#s(approx (+ (* 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 (+ (* 1/4 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 (+ (* 1/4 a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal -1/4 binary64) b))))
cost-diff0
#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 #s(literal 1 binary64) (exp.f64 b))))
cost-diff0
(-.f64 a #s(literal -1 binary64))
cost-diff0
#s(approx (exp a) (-.f64 a #s(literal -1 binary64)))
cost-diff0
(/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #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 #s(literal 1 binary64) (exp.f64 b)))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
071640
097640
1162610
2405580
31282556
45688556
08112532
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #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 #s(literal 1 binary64) (exp.f64 b)))))
#s(approx (exp a) (-.f64 a #s(literal -1 binary64)))
(-.f64 a #s(literal -1 binary64))
a
#s(literal -1 binary64)
#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 #s(literal 1 binary64) (exp.f64 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 #s(literal 1 binary64) (exp.f64 b)))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(exp.f64 b)
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 (+ (* 1/4 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 (+ (* 1/4 a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal -1/4 binary64) b)))
#s(approx (+ (* 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))) (/.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)) #s(approx (+ (* 1/4 a) (+ (* -1/4 b) 1/2)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a) #s(literal -1/4 binary64)) a))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* 1/4 a) (+ (* -1/4 b) 1/2)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a) #s(literal -1/4 binary64)) a)))
#s(approx (+ (* 1/4 a) (+ (* -1/4 b) 1/2)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a) #s(literal -1/4 binary64)) a))
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a) #s(literal -1/4 binary64)) a)
(-.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a) #s(literal -1/4 binary64))
(/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a)
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
#s(literal -1/4 binary64)
b
#s(literal 1/2 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 (fma.f64 #s(approx (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) #s(literal -1/48 binary64)) 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 (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (fma.f64 (fma.f64 (fma.f64 #s(approx (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) #s(literal -1/48 binary64)) 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))))
(fma.f64 (fma.f64 (fma.f64 #s(approx (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) #s(literal -1/48 binary64)) 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)))
(fma.f64 (fma.f64 #s(approx (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) #s(literal -1/48 binary64)) 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))
(fma.f64 #s(approx (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) #s(literal -1/48 binary64)) a (-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -1/16 binary64) b #s(literal 1/8 binary64))))
#s(approx (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) #s(literal -1/48 binary64))
#s(literal -1/48 binary64)
a
(-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -1/16 binary64) b #s(literal 1/8 binary64)))
#s(literal 1/8 binary64)
(fma.f64 #s(literal -1/16 binary64) b #s(literal 1/8 binary64))
#s(literal -1/16 binary64)
b
#s(literal 1/4 binary64)
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
#s(literal -1/4 binary64)
#s(literal 1/2 binary64)
Outputs
(/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #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 #s(literal 1 binary64) (exp.f64 b)))))
(/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #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) (-.f64 a #s(literal -1 binary64)))
(-.f64 a #s(literal -1 binary64))
a
#s(literal -1 binary64)
#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 #s(literal 1 binary64) (exp.f64 b))))
#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))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(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)))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(-.f64 (exp.f64 b) #s(literal -1 binary64))
(exp.f64 b)
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 (+ (* 1/4 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 (+ (* 1/4 a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal -1/4 binary64) b)))
#s(approx (+ (* 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))) (/.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)) #s(approx (+ (* 1/4 a) (+ (* -1/4 b) 1/2)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a) #s(literal -1/4 binary64)) a))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* 1/4 a) (+ (* -1/4 b) 1/2)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a) #s(literal -1/4 binary64)) a)))
#s(approx (+ (* 1/4 a) (+ (* -1/4 b) 1/2)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a) #s(literal -1/4 binary64)) a))
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a) #s(literal -1/4 binary64)) a)
(-.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a) #s(literal -1/4 binary64))
(/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a)
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
#s(literal -1/4 binary64)
b
#s(literal 1/2 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 (fma.f64 #s(approx (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) #s(literal -1/48 binary64)) 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))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (fma.f64 (fma.f64 (fma.f64 #s(approx (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) #s(literal -1/48 binary64)) a (*.f64 #s(literal 1/16 binary64) b)) 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)) (fma.f64 (fma.f64 (fma.f64 #s(approx (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) #s(literal -1/48 binary64)) 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 (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (fma.f64 (fma.f64 (fma.f64 #s(approx (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) #s(literal -1/48 binary64)) a (*.f64 #s(literal 1/16 binary64) b)) a #s(literal 1/4 binary64)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
(fma.f64 (fma.f64 (fma.f64 #s(approx (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) #s(literal -1/48 binary64)) 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)))
(fma.f64 (fma.f64 (fma.f64 #s(approx (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) #s(literal -1/48 binary64)) a (*.f64 #s(literal 1/16 binary64) b)) a #s(literal 1/4 binary64)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 #s(approx (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) #s(literal -1/48 binary64)) 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))
(fma.f64 (fma.f64 #s(approx (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) #s(literal -1/48 binary64)) a (*.f64 #s(literal 1/16 binary64) b)) a #s(literal 1/4 binary64))
(fma.f64 #s(approx (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) #s(literal -1/48 binary64)) a (-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -1/16 binary64) b #s(literal 1/8 binary64))))
(fma.f64 #s(approx (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) #s(literal -1/48 binary64)) a (*.f64 #s(literal 1/16 binary64) b))
#s(approx (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) #s(literal -1/48 binary64))
#s(literal -1/48 binary64)
a
(-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -1/16 binary64) b #s(literal 1/8 binary64)))
(*.f64 #s(literal 1/16 binary64) b)
#s(literal 1/8 binary64)
(fma.f64 #s(literal -1/16 binary64) b #s(literal 1/8 binary64))
#s(literal -1/16 binary64)
b
#s(literal 1/4 binary64)
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
#s(literal -1/4 binary64)
#s(literal 1/2 binary64)

localize456.0ms (6.3%)

Memory
44.5MiB live, 567.2MiB allocated; 60ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.16796875
(fma.f64 #s(approx (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) #s(literal -1/48 binary64)) a (-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -1/16 binary64) b #s(literal 1/8 binary64))))
accuracy17.488084571950946
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (fma.f64 (fma.f64 (fma.f64 #s(approx (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) #s(literal -1/48 binary64)) 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))))
accuracy21.360139091334318
#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 #s(approx (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) #s(literal -1/48 binary64)) 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)))))
accuracy34.030935363593095
(-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -1/16 binary64) b #s(literal 1/8 binary64)))
accuracy0.0078125
(/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a)
accuracy9.911710975507994
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a) #s(literal -1/4 binary64)) a)
accuracy17.6830271185323
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* 1/4 a) (+ (* -1/4 b) 1/2)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a) #s(literal -1/4 binary64)) a)))
accuracy21.360139091334318
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* 1/4 a) (+ (* -1/4 b) 1/2)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a) #s(literal -1/4 binary64)) a))))
accuracy0.0
(+.f64 #s(literal 2 binary64) b)
accuracy0.01171875
(/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)))
accuracy12.72159537165655
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
accuracy26.692433088876708
#s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))
accuracy0.0
(*.f64 #s(literal -1/4 binary64) b)
accuracy17.6830271185323
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* 1/4 a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal -1/4 binary64) b)))
accuracy21.360139091334318
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* 1/4 a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal -1/4 binary64) b))))
accuracy39.32099209471919
#s(approx (+ (* 1/4 a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal -1/4 binary64) b))
accuracy0.7382895031524757
(/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #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 #s(literal 1 binary64) (exp.f64 b)))))
accuracy2.2070312500000004
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) (exp.f64 b)))
accuracy12.86872800859309
#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 #s(literal 1 binary64) (exp.f64 b))))
accuracy17.968813472501754
#s(approx (exp a) (-.f64 a #s(literal -1 binary64)))
Samples
345.0ms234×1valid
24.0ms19×2valid
1.0ms3×0valid
Compiler

Compiled 386 to 60 computations (84.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 308.0ms
ival-mult: 80.0ms (26% of total)
adjust: 65.0ms (21.1% of total)
ival-div: 41.0ms (13.3% of total)
ival-add: 37.0ms (12% of total)
ival-sub: 37.0ms (12% of total)
const: 37.0ms (12% of total)
ival-exp: 8.0ms (2.6% of total)
ival-neg: 2.0ms (0.6% of total)
exact: 1.0ms (0.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series63.0ms (0.9%)

Memory
-25.3MiB live, 62.9MiB allocated; 24ms collecting garbage
Counts
23 → 118
Calls
Call 1
Inputs
(/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #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 #s(literal 1 binary64) (exp.f64 b)))))
#s(approx (exp a) (-.f64 a #s(literal -1 binary64)))
(-.f64 a #s(literal -1 binary64))
#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 #s(literal 1 binary64) (exp.f64 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 (+ (* 1/4 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 (+ (* 1/4 a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal -1/4 binary64) b)))
#s(approx (+ (* 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))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)))
#s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))
(+.f64 #s(literal 2 binary64) b)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* 1/4 a) (+ (* -1/4 b) 1/2)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a) #s(literal -1/4 binary64)) a))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* 1/4 a) (+ (* -1/4 b) 1/2)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a) #s(literal -1/4 binary64)) a)))
#s(approx (+ (* 1/4 a) (+ (* -1/4 b) 1/2)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a) #s(literal -1/4 binary64)) a))
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a) #s(literal -1/4 binary64)) a)
(-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -1/16 binary64) b #s(literal 1/8 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 #s(approx (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) #s(literal -1/48 binary64)) 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 (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (fma.f64 (fma.f64 (fma.f64 #s(approx (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) #s(literal -1/48 binary64)) 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))))
(fma.f64 (fma.f64 (fma.f64 #s(approx (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) #s(literal -1/48 binary64)) 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)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a)
(fma.f64 #s(approx (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) #s(literal -1/48 binary64)) a (-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -1/16 binary64) b #s(literal 1/8 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 (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 (- a -1) #s(hole binary64 1))
#s(approx (- a -1) #s(hole binary64 (+ 1 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 (/ (+ (* (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 (+ (* 1/4 a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (+ (* 1/4 a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* 1/4 a)))))
#s(approx (* (- (/ (+ (* -1/4 b) 1/2) a) -1/4) a) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (* (- (/ (+ (* -1/4 b) 1/2) a) -1/4) a) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* 1/4 a)))))
#s(approx (+ (* (+ (* (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) a) 1/4) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (+ (* (+ (* (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) a) 1/4) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* 1/4 a)))))
#s(approx (+ (* (+ (* (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) a) 1/4) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* a (+ 1/4 (* 1/16 (* a b))))))))
#s(approx (+ (* (+ (* (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) a) 1/4) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* a (+ 1/4 (* a (+ (* 1/16 b) (* a (- (+ (* 1/48 b) (* 1/2 (+ 1/6 (* 1/48 b)))) (+ 5/48 (* 1/32 b))))))))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (+ 1 (exp b))) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (+ 1 (exp b))) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (+ 1 (exp b))) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (+ 1 (exp b))) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))
#s(approx (/ (+ (* -1/4 b) 1/2) a) #s(hole binary64 (/ (+ 1/2 (* -1/4 b)) a)))
#s(approx (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) #s(hole binary64 (* 1/16 b)))
#s(approx (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) #s(hole binary64 (- (* a (- (+ (* 1/48 b) (* 1/2 (+ 1/6 (* 1/48 b)))) (+ 5/48 (* 1/32 b)))) (* -1/16 b))))
#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 (- a -1) #s(hole binary64 a))
#s(approx (- a -1) #s(hole binary64 (* a (+ 1 (/ 1 a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (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 (+ (* 1/4 a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (* 1/4 a)))
#s(approx (+ (* 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 b) 1/2) a) -1/4) a) #s(hole binary64 (* 1/4 a)))
#s(approx (* (- (/ (+ (* -1/4 b) 1/2) a) -1/4) a) #s(hole binary64 (* a (+ 1/4 (+ (* -1/4 (/ b a)) (* 1/2 (/ 1 a)))))))
#s(approx (+ (* (+ (* (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) a) 1/4) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (* (pow a 3) (- (+ (* 1/48 b) (* 1/2 (+ 1/6 (* 1/48 b)))) (+ 5/48 (* 1/32 b))))))
#s(approx (+ (* (+ (* (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) a) 1/4) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (* (pow a 3) (- (+ (* 1/48 b) (+ (* 1/16 (/ b a)) (* 1/2 (+ 1/6 (* 1/48 b))))) (+ 5/48 (* 1/32 b))))))
#s(approx (+ (* (+ (* (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) a) 1/4) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (* (pow a 3) (- (+ (* 1/48 b) (+ (* 1/2 (+ 1/6 (* 1/48 b))) (/ 1/4 (pow a 2)))) (+ 5/48 (+ (* -1/16 (/ b a)) (* 1/32 b)))))))
#s(approx (+ (* (+ (* (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) a) 1/4) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (* (pow a 3) (- (+ (* -1/4 (/ b (pow a 3))) (+ (* 1/48 b) (+ (* 1/2 (+ 1/6 (* 1/48 b))) (+ (/ 1/4 (pow a 2)) (* 1/2 (/ 1 (pow a 3))))))) (+ 5/48 (+ (* -1/16 (/ b a)) (* 1/32 b)))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (+ 1 (exp b))) #s(hole binary64 (* 1/6 (pow a 3))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (+ 1 (exp b))) #s(hole binary64 (* (pow a 3) (+ 1/6 (* 1/2 (/ 1 a))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (+ 1 (exp b))) #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 (exp b))) #s(hole binary64 (* (pow a 3) (+ 1/6 (+ (* 1/2 (/ 1 a)) (+ (/ 1 (pow a 2)) (+ (/ 1 (pow a 3)) (/ (exp b) (pow a 3)))))))))
#s(approx (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) #s(hole binary64 (* a (- (+ (* 1/48 b) (* 1/2 (+ 1/6 (* 1/48 b)))) (+ 5/48 (* 1/32 b))))))
#s(approx (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) #s(hole binary64 (* a (- (+ (* 1/48 b) (+ (* 1/16 (/ b a)) (* 1/2 (+ 1/6 (* 1/48 b))))) (+ 5/48 (* 1/32 b))))))
#s(approx (+ (* 1/4 a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (+ 1/2 (* -1/4 b)) a)) 1/4)))))
#s(approx (* (- (/ (+ (* -1/4 b) 1/2) a) -1/4) a) #s(hole binary64 (* -1 (* a (- (* -1 (/ (+ 1/2 (* -1/4 b)) a)) 1/4)))))
#s(approx (+ (* (+ (* (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) a) 1/4) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (* -1 (* (pow a 3) (+ (* -1 (- (+ (* 1/48 b) (* 1/2 (+ 1/6 (* 1/48 b)))) (+ 5/48 (* 1/32 b)))) (* -1/16 (/ b a)))))))
#s(approx (+ (* (+ (* (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) a) 1/4) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (* -1 (* (pow a 3) (+ (* -1 (- (+ (* 1/48 b) (* 1/2 (+ 1/6 (* 1/48 b)))) (+ 5/48 (* 1/32 b)))) (* -1 (/ (+ (* 1/16 b) (* 1/4 (/ 1 a))) a)))))))
#s(approx (+ (* (+ (* (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) a) 1/4) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (* -1 (* (pow a 3) (+ (* -1 (- (+ (* 1/48 b) (* 1/2 (+ 1/6 (* 1/48 b)))) (+ 5/48 (* 1/32 b)))) (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ 1/2 (* -1/4 b)) a)) 1/4) a)) (* 1/16 b)) a)))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (+ 1 (exp b))) #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 (exp b))) #s(hole binary64 (* -1 (* (pow a 3) (- (* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp b)) a)) 1) a))) a)) 1/6)))))
#s(approx (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) #s(hole binary64 (* -1 (* a (+ (* -1 (- (+ (* 1/48 b) (* 1/2 (+ 1/6 (* 1/48 b)))) (+ 5/48 (* 1/32 b)))) (* -1/16 (/ b 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 (+ (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 (+ (* 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 (- (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 (+ 2 b) #s(hole binary64 2))
#s(approx (+ 2 b) #s(hole binary64 (+ 2 b)))
#s(approx (* (- (/ (+ (* -1/4 b) 1/2) a) -1/4) a) #s(hole binary64 (* a (+ 1/4 (* 1/2 (/ 1 a))))))
#s(approx (* (- (/ (+ (* -1/4 b) 1/2) a) -1/4) a) #s(hole binary64 (+ (* -1/4 b) (* a (+ 1/4 (* 1/2 (/ 1 a)))))))
#s(approx (- 1/8 (+ (* -1/16 b) 1/8)) #s(hole binary64 (* 1/16 b)))
#s(approx (+ (* (+ (* (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) a) 1/4) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))))
#s(approx (+ (* (+ (* (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) a) 1/4) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (+ 1/2 (+ (* a (+ 1/4 (* -1/48 (pow a 2)))) (* b (- (* 1/16 (pow a 2)) 1/4))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (+ 1 (exp b))) #s(hole binary64 (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (+ 1 (exp b))) #s(hole binary64 (+ 2 (+ b (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (+ 1 (exp b))) #s(hole binary64 (+ 2 (+ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (+ 1 (exp b))) #s(hole binary64 (+ 2 (+ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (/ (+ (* -1/4 b) 1/2) a) #s(hole binary64 (/ 1/2 a)))
#s(approx (/ (+ (* -1/4 b) 1/2) a) #s(hole binary64 (+ (* -1/4 (/ b a)) (* 1/2 (/ 1 a)))))
#s(approx (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) #s(hole binary64 (* -1/48 a)))
#s(approx (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) #s(hole binary64 (+ (* -1/48 a) (* 1/16 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 (+ (* 1/4 a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (* -1/4 b)))
#s(approx (+ (* 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 (- (exp b) -1) #s(hole binary64 (+ 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 (* (- (/ (+ (* -1/4 b) 1/2) a) -1/4) a) #s(hole binary64 (* -1/4 b)))
#s(approx (* (- (/ (+ (* -1/4 b) 1/2) a) -1/4) a) #s(hole binary64 (* b (- (/ (* a (+ 1/4 (* 1/2 (/ 1 a)))) b) 1/4))))
#s(approx (+ (* (+ (* (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) a) 1/4) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (* b (- (* 1/16 (pow a 2)) 1/4))))
#s(approx (+ (* (+ (* (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) a) 1/4) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (* b (- (+ (* 1/16 (pow a 2)) (+ (* 1/2 (/ 1 b)) (/ (* a (+ 1/4 (* -1/48 (pow a 2)))) b))) 1/4))))
#s(approx (/ (+ (* -1/4 b) 1/2) a) #s(hole binary64 (* -1/4 (/ b a))))
#s(approx (/ (+ (* -1/4 b) 1/2) a) #s(hole binary64 (* b (- (* 1/2 (/ 1 (* a b))) (* 1/4 (/ 1 a))))))
#s(approx (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) #s(hole binary64 (* b (+ 1/16 (* -1/48 (/ 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 a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (* -1 (* b (+ 1/4 (* -1 (/ (+ 1/2 (* 1/4 a)) b)))))))
#s(approx (* (- (/ (+ (* -1/4 b) 1/2) a) -1/4) a) #s(hole binary64 (* -1 (* b (+ 1/4 (* -1 (/ (* a (+ 1/4 (* 1/2 (/ 1 a)))) b)))))))
#s(approx (+ (* (+ (* (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) a) 1/4) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (* -1 (* b (+ 1/4 (* -1/16 (pow a 2)))))))
#s(approx (+ (* (+ (* (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) a) 1/4) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (* -1 (* b (+ 1/4 (+ (* -1 (/ (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2))))) b)) (* -1/16 (pow a 2))))))))
#s(approx (/ (+ (* -1/4 b) 1/2) a) #s(hole binary64 (* -1 (* b (- (* 1/4 (/ 1 a)) (* 1/2 (/ 1 (* a b))))))))
#s(approx (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) #s(hole binary64 (* -1 (* b (- (* 1/48 (/ a b)) 1/16)))))
Calls

6 calls:

TimeVariablePointExpression
34.0ms
a
@0
((/ (exp a) (+ (exp a) (exp b))) (exp a) (- a -1) (+ (exp a) (exp b)) (/ (exp a) (+ (exp a) (exp b))) (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (+ (* 1/4 a) (+ (* -1/4 b) 1/2)) (* -1/4 b) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ 2 b) (/ (exp a) (+ (exp a) (exp b))) (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (+ (* 1/4 a) (+ (* -1/4 b) 1/2)) (* (- (/ (+ (* -1/4 b) 1/2) a) -1/4) a) (- 1/8 (+ (* -1/16 b) 1/8)) (/ (exp a) (+ (exp a) (exp b))) (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (+ (* (+ (* (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) a) 1/4) a) (+ (* -1/4 b) 1/2)) (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (+ 1 (exp b))) (/ (+ (* -1/4 b) 1/2) a) (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))))
8.0ms
b
@-inf
((/ (exp a) (+ (exp a) (exp b))) (exp a) (- a -1) (+ (exp a) (exp b)) (/ (exp a) (+ (exp a) (exp b))) (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (+ (* 1/4 a) (+ (* -1/4 b) 1/2)) (* -1/4 b) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ 2 b) (/ (exp a) (+ (exp a) (exp b))) (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (+ (* 1/4 a) (+ (* -1/4 b) 1/2)) (* (- (/ (+ (* -1/4 b) 1/2) a) -1/4) a) (- 1/8 (+ (* -1/16 b) 1/8)) (/ (exp a) (+ (exp a) (exp b))) (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (+ (* (+ (* (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) a) 1/4) a) (+ (* -1/4 b) 1/2)) (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (+ 1 (exp b))) (/ (+ (* -1/4 b) 1/2) a) (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))))
5.0ms
b
@inf
((/ (exp a) (+ (exp a) (exp b))) (exp a) (- a -1) (+ (exp a) (exp b)) (/ (exp a) (+ (exp a) (exp b))) (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (+ (* 1/4 a) (+ (* -1/4 b) 1/2)) (* -1/4 b) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ 2 b) (/ (exp a) (+ (exp a) (exp b))) (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (+ (* 1/4 a) (+ (* -1/4 b) 1/2)) (* (- (/ (+ (* -1/4 b) 1/2) a) -1/4) a) (- 1/8 (+ (* -1/16 b) 1/8)) (/ (exp a) (+ (exp a) (exp b))) (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (+ (* (+ (* (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) a) 1/4) a) (+ (* -1/4 b) 1/2)) (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (+ 1 (exp b))) (/ (+ (* -1/4 b) 1/2) a) (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))))
4.0ms
a
@-inf
((/ (exp a) (+ (exp a) (exp b))) (exp a) (- a -1) (+ (exp a) (exp b)) (/ (exp a) (+ (exp a) (exp b))) (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (+ (* 1/4 a) (+ (* -1/4 b) 1/2)) (* -1/4 b) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ 2 b) (/ (exp a) (+ (exp a) (exp b))) (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (+ (* 1/4 a) (+ (* -1/4 b) 1/2)) (* (- (/ (+ (* -1/4 b) 1/2) a) -1/4) a) (- 1/8 (+ (* -1/16 b) 1/8)) (/ (exp a) (+ (exp a) (exp b))) (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (+ (* (+ (* (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) a) 1/4) a) (+ (* -1/4 b) 1/2)) (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (+ 1 (exp b))) (/ (+ (* -1/4 b) 1/2) a) (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))))
4.0ms
a
@inf
((/ (exp a) (+ (exp a) (exp b))) (exp a) (- a -1) (+ (exp a) (exp b)) (/ (exp a) (+ (exp a) (exp b))) (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (+ (* 1/4 a) (+ (* -1/4 b) 1/2)) (* -1/4 b) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ 2 b) (/ (exp a) (+ (exp a) (exp b))) (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (+ (* 1/4 a) (+ (* -1/4 b) 1/2)) (* (- (/ (+ (* -1/4 b) 1/2) a) -1/4) a) (- 1/8 (+ (* -1/16 b) 1/8)) (/ (exp a) (+ (exp a) (exp b))) (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (+ (* (+ (* (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) a) 1/4) a) (+ (* -1/4 b) 1/2)) (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (+ 1 (exp b))) (/ (+ (* -1/4 b) 1/2) a) (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))))

simplify181.0ms (2.5%)

Memory
16.4MiB live, 243.4MiB allocated; 47ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05533939
115583604
263433573
082113145
Stop Event
1×iter limit
1×node limit
Counts
118 → 118
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 (- a -1) #s(hole binary64 1))
#s(approx (- a -1) #s(hole binary64 (+ 1 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 (/ (+ (* (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 (+ (* 1/4 a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (+ (* 1/4 a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* 1/4 a)))))
#s(approx (* (- (/ (+ (* -1/4 b) 1/2) a) -1/4) a) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (* (- (/ (+ (* -1/4 b) 1/2) a) -1/4) a) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* 1/4 a)))))
#s(approx (+ (* (+ (* (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) a) 1/4) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (+ (* (+ (* (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) a) 1/4) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* 1/4 a)))))
#s(approx (+ (* (+ (* (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) a) 1/4) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* a (+ 1/4 (* 1/16 (* a b))))))))
#s(approx (+ (* (+ (* (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) a) 1/4) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* a (+ 1/4 (* a (+ (* 1/16 b) (* a (- (+ (* 1/48 b) (* 1/2 (+ 1/6 (* 1/48 b)))) (+ 5/48 (* 1/32 b))))))))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (+ 1 (exp b))) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (+ 1 (exp b))) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (+ 1 (exp b))) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (+ 1 (exp b))) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))
#s(approx (/ (+ (* -1/4 b) 1/2) a) #s(hole binary64 (/ (+ 1/2 (* -1/4 b)) a)))
#s(approx (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) #s(hole binary64 (* 1/16 b)))
#s(approx (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) #s(hole binary64 (- (* a (- (+ (* 1/48 b) (* 1/2 (+ 1/6 (* 1/48 b)))) (+ 5/48 (* 1/32 b)))) (* -1/16 b))))
#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 (- a -1) #s(hole binary64 a))
#s(approx (- a -1) #s(hole binary64 (* a (+ 1 (/ 1 a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (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 (+ (* 1/4 a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (* 1/4 a)))
#s(approx (+ (* 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 b) 1/2) a) -1/4) a) #s(hole binary64 (* 1/4 a)))
#s(approx (* (- (/ (+ (* -1/4 b) 1/2) a) -1/4) a) #s(hole binary64 (* a (+ 1/4 (+ (* -1/4 (/ b a)) (* 1/2 (/ 1 a)))))))
#s(approx (+ (* (+ (* (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) a) 1/4) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (* (pow a 3) (- (+ (* 1/48 b) (* 1/2 (+ 1/6 (* 1/48 b)))) (+ 5/48 (* 1/32 b))))))
#s(approx (+ (* (+ (* (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) a) 1/4) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (* (pow a 3) (- (+ (* 1/48 b) (+ (* 1/16 (/ b a)) (* 1/2 (+ 1/6 (* 1/48 b))))) (+ 5/48 (* 1/32 b))))))
#s(approx (+ (* (+ (* (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) a) 1/4) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (* (pow a 3) (- (+ (* 1/48 b) (+ (* 1/2 (+ 1/6 (* 1/48 b))) (/ 1/4 (pow a 2)))) (+ 5/48 (+ (* -1/16 (/ b a)) (* 1/32 b)))))))
#s(approx (+ (* (+ (* (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) a) 1/4) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (* (pow a 3) (- (+ (* -1/4 (/ b (pow a 3))) (+ (* 1/48 b) (+ (* 1/2 (+ 1/6 (* 1/48 b))) (+ (/ 1/4 (pow a 2)) (* 1/2 (/ 1 (pow a 3))))))) (+ 5/48 (+ (* -1/16 (/ b a)) (* 1/32 b)))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (+ 1 (exp b))) #s(hole binary64 (* 1/6 (pow a 3))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (+ 1 (exp b))) #s(hole binary64 (* (pow a 3) (+ 1/6 (* 1/2 (/ 1 a))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (+ 1 (exp b))) #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 (exp b))) #s(hole binary64 (* (pow a 3) (+ 1/6 (+ (* 1/2 (/ 1 a)) (+ (/ 1 (pow a 2)) (+ (/ 1 (pow a 3)) (/ (exp b) (pow a 3)))))))))
#s(approx (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) #s(hole binary64 (* a (- (+ (* 1/48 b) (* 1/2 (+ 1/6 (* 1/48 b)))) (+ 5/48 (* 1/32 b))))))
#s(approx (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) #s(hole binary64 (* a (- (+ (* 1/48 b) (+ (* 1/16 (/ b a)) (* 1/2 (+ 1/6 (* 1/48 b))))) (+ 5/48 (* 1/32 b))))))
#s(approx (+ (* 1/4 a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (+ 1/2 (* -1/4 b)) a)) 1/4)))))
#s(approx (* (- (/ (+ (* -1/4 b) 1/2) a) -1/4) a) #s(hole binary64 (* -1 (* a (- (* -1 (/ (+ 1/2 (* -1/4 b)) a)) 1/4)))))
#s(approx (+ (* (+ (* (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) a) 1/4) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (* -1 (* (pow a 3) (+ (* -1 (- (+ (* 1/48 b) (* 1/2 (+ 1/6 (* 1/48 b)))) (+ 5/48 (* 1/32 b)))) (* -1/16 (/ b a)))))))
#s(approx (+ (* (+ (* (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) a) 1/4) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (* -1 (* (pow a 3) (+ (* -1 (- (+ (* 1/48 b) (* 1/2 (+ 1/6 (* 1/48 b)))) (+ 5/48 (* 1/32 b)))) (* -1 (/ (+ (* 1/16 b) (* 1/4 (/ 1 a))) a)))))))
#s(approx (+ (* (+ (* (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) a) 1/4) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (* -1 (* (pow a 3) (+ (* -1 (- (+ (* 1/48 b) (* 1/2 (+ 1/6 (* 1/48 b)))) (+ 5/48 (* 1/32 b)))) (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ 1/2 (* -1/4 b)) a)) 1/4) a)) (* 1/16 b)) a)))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (+ 1 (exp b))) #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 (exp b))) #s(hole binary64 (* -1 (* (pow a 3) (- (* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp b)) a)) 1) a))) a)) 1/6)))))
#s(approx (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) #s(hole binary64 (* -1 (* a (+ (* -1 (- (+ (* 1/48 b) (* 1/2 (+ 1/6 (* 1/48 b)))) (+ 5/48 (* 1/32 b)))) (* -1/16 (/ b 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 (+ (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 (+ (* 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 (- (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 (+ 2 b) #s(hole binary64 2))
#s(approx (+ 2 b) #s(hole binary64 (+ 2 b)))
#s(approx (* (- (/ (+ (* -1/4 b) 1/2) a) -1/4) a) #s(hole binary64 (* a (+ 1/4 (* 1/2 (/ 1 a))))))
#s(approx (* (- (/ (+ (* -1/4 b) 1/2) a) -1/4) a) #s(hole binary64 (+ (* -1/4 b) (* a (+ 1/4 (* 1/2 (/ 1 a)))))))
#s(approx (- 1/8 (+ (* -1/16 b) 1/8)) #s(hole binary64 (* 1/16 b)))
#s(approx (+ (* (+ (* (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) a) 1/4) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))))
#s(approx (+ (* (+ (* (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) a) 1/4) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (+ 1/2 (+ (* a (+ 1/4 (* -1/48 (pow a 2)))) (* b (- (* 1/16 (pow a 2)) 1/4))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (+ 1 (exp b))) #s(hole binary64 (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (+ 1 (exp b))) #s(hole binary64 (+ 2 (+ b (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (+ 1 (exp b))) #s(hole binary64 (+ 2 (+ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (+ 1 (exp b))) #s(hole binary64 (+ 2 (+ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (/ (+ (* -1/4 b) 1/2) a) #s(hole binary64 (/ 1/2 a)))
#s(approx (/ (+ (* -1/4 b) 1/2) a) #s(hole binary64 (+ (* -1/4 (/ b a)) (* 1/2 (/ 1 a)))))
#s(approx (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) #s(hole binary64 (* -1/48 a)))
#s(approx (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) #s(hole binary64 (+ (* -1/48 a) (* 1/16 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 (+ (* 1/4 a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (* -1/4 b)))
#s(approx (+ (* 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 (- (exp b) -1) #s(hole binary64 (+ 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 (* (- (/ (+ (* -1/4 b) 1/2) a) -1/4) a) #s(hole binary64 (* -1/4 b)))
#s(approx (* (- (/ (+ (* -1/4 b) 1/2) a) -1/4) a) #s(hole binary64 (* b (- (/ (* a (+ 1/4 (* 1/2 (/ 1 a)))) b) 1/4))))
#s(approx (+ (* (+ (* (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) a) 1/4) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (* b (- (* 1/16 (pow a 2)) 1/4))))
#s(approx (+ (* (+ (* (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) a) 1/4) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (* b (- (+ (* 1/16 (pow a 2)) (+ (* 1/2 (/ 1 b)) (/ (* a (+ 1/4 (* -1/48 (pow a 2)))) b))) 1/4))))
#s(approx (/ (+ (* -1/4 b) 1/2) a) #s(hole binary64 (* -1/4 (/ b a))))
#s(approx (/ (+ (* -1/4 b) 1/2) a) #s(hole binary64 (* b (- (* 1/2 (/ 1 (* a b))) (* 1/4 (/ 1 a))))))
#s(approx (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) #s(hole binary64 (* b (+ 1/16 (* -1/48 (/ 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 a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (* -1 (* b (+ 1/4 (* -1 (/ (+ 1/2 (* 1/4 a)) b)))))))
#s(approx (* (- (/ (+ (* -1/4 b) 1/2) a) -1/4) a) #s(hole binary64 (* -1 (* b (+ 1/4 (* -1 (/ (* a (+ 1/4 (* 1/2 (/ 1 a)))) b)))))))
#s(approx (+ (* (+ (* (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) a) 1/4) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (* -1 (* b (+ 1/4 (* -1/16 (pow a 2)))))))
#s(approx (+ (* (+ (* (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) a) 1/4) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (* -1 (* b (+ 1/4 (+ (* -1 (/ (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2))))) b)) (* -1/16 (pow a 2))))))))
#s(approx (/ (+ (* -1/4 b) 1/2) a) #s(hole binary64 (* -1 (* b (- (* 1/4 (/ 1 a)) (* 1/2 (/ 1 (* a b))))))))
#s(approx (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) #s(hole binary64 (* -1 (* b (- (* 1/48 (/ a b)) 1/16)))))
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 #s(literal 1 binary64) (exp.f64 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))) (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 (/ (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 (/.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 (/ (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 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) #s(literal 1/6 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 4 binary64)))))) a (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (/.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)))) 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 (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 (- a -1) #s(hole binary64 1))
#s(approx (- a -1) #s(literal 1 binary64))
#s(approx (- a -1) #s(hole binary64 (+ 1 a)))
#s(approx (- a -1) (-.f64 a #s(literal -1 binary64)))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (exp a) (exp b)) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
#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 #s(literal 1 binary64) (exp.f64 b))))
#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 #s(literal 1 binary64) (exp.f64 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)) (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 (-.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)) #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 (fma.f64 (fma.f64 #s(literal 1/8 binary64) b (*.f64 #s(literal -1/8 binary64) b)) #s(literal -1/2 binary64) #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))) #s(literal 1/2 binary64) (fma.f64 #s(literal -1/16 binary64) b #s(literal 1/8 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 (/ (+ (* (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 (-.f64 (*.f64 #s(literal 1/24 binary64) b) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b (*.f64 #s(literal -1/8 binary64) b)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/16 binary64) b))) #s(literal -1/2 binary64) #s(literal 1/12 binary64)) (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) b (*.f64 #s(literal -1/8 binary64) b)) #s(literal -1/2 binary64) #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))) #s(literal 1/2 binary64) (fma.f64 #s(literal -1/16 binary64) b #s(literal 1/8 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 (fma.f64 (fma.f64 #s(literal 1/8 binary64) b (*.f64 #s(literal -1/8 binary64) b)) #s(literal -1/2 binary64) #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))) #s(literal 1/2 binary64) (fma.f64 #s(literal -1/16 binary64) b #s(literal 1/8 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 (+ (* 1/4 a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (+ (* 1/4 a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
#s(approx (+ (* 1/4 a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* 1/4 a)))))
#s(approx (+ (* 1/4 a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal -1/4 binary64) (-.f64 b a) #s(literal 1/2 binary64)))
#s(approx (* (- (/ (+ (* -1/4 b) 1/2) a) -1/4) a) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (* (- (/ (+ (* -1/4 b) 1/2) a) -1/4) a) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
#s(approx (* (- (/ (+ (* -1/4 b) 1/2) a) -1/4) a) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* 1/4 a)))))
#s(approx (* (- (/ (+ (* -1/4 b) 1/2) a) -1/4) a) (fma.f64 #s(literal -1/4 binary64) (-.f64 b a) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) a) 1/4) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (+ (* (+ (* (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) a) 1/4) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) a) 1/4) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* 1/4 a)))))
#s(approx (+ (* (+ (* (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) a) 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 (+ (* (+ (* (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) a) 1/4) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* a (+ 1/4 (* 1/16 (* a b))))))))
#s(approx (+ (* (+ (* (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) a) 1/4) a) (+ (* -1/4 b) 1/2)) (fma.f64 (fma.f64 (*.f64 b a) #s(literal 1/16 binary64) #s(literal 1/4 binary64)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (+ (* (+ (* (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) a) 1/4) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* a (+ 1/4 (* a (+ (* 1/16 b) (* a (- (+ (* 1/48 b) (* 1/2 (+ 1/6 (* 1/48 b)))) (+ 5/48 (* 1/32 b))))))))))))
#s(approx (+ (* (+ (* (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) a) 1/4) a) (+ (* -1/4 b) 1/2)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/48 binary64) b (fma.f64 #s(literal 1/96 binary64) b #s(literal 1/12 binary64))) (fma.f64 #s(literal 1/32 binary64) b #s(literal 5/48 binary64))) a (*.f64 #s(literal 1/16 binary64) b)) a #s(literal 1/4 binary64)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (+ 1 (exp b))) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (+ 1 (exp b))) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (+ 1 (exp b))) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (+ 1 (exp b))) (+.f64 (+.f64 (exp.f64 b) a) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (+ 1 (exp b))) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) (exp.f64 b))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (+ 1 (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 (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 #s(literal 1 binary64) (exp.f64 b))))
#s(approx (/ (+ (* -1/4 b) 1/2) a) #s(hole binary64 (/ (+ 1/2 (* -1/4 b)) a)))
#s(approx (/ (+ (* -1/4 b) 1/2) a) (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a))
#s(approx (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) #s(hole binary64 (* 1/16 b)))
#s(approx (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) (*.f64 #s(literal 1/16 binary64) b))
#s(approx (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) #s(hole binary64 (- (* a (- (+ (* 1/48 b) (* 1/2 (+ 1/6 (* 1/48 b)))) (+ 5/48 (* 1/32 b)))) (* -1/16 b))))
#s(approx (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) (fma.f64 (-.f64 (fma.f64 #s(literal 1/48 binary64) b (fma.f64 #s(literal 1/96 binary64) b #s(literal 1/12 binary64))) (fma.f64 #s(literal 1/32 binary64) b #s(literal 5/48 binary64))) a (*.f64 #s(literal 1/16 binary64) b)))
#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 (- a -1) #s(hole binary64 a))
#s(approx (- a -1) a)
#s(approx (- a -1) #s(hole binary64 (* a (+ 1 (/ 1 a)))))
#s(approx (- a -1) (-.f64 a #s(literal -1 binary64)))
#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 (/ (+ (* (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 (+ (* 1/4 a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (* 1/4 a)))
#s(approx (+ (* 1/4 a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal 1/4 binary64) a))
#s(approx (+ (* 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) (+ (* -1/4 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 b) 1/2) a) -1/4) a) #s(hole binary64 (* 1/4 a)))
#s(approx (* (- (/ (+ (* -1/4 b) 1/2) a) -1/4) a) (*.f64 #s(literal 1/4 binary64) a))
#s(approx (* (- (/ (+ (* -1/4 b) 1/2) a) -1/4) a) #s(hole binary64 (* a (+ 1/4 (+ (* -1/4 (/ b a)) (* 1/2 (/ 1 a)))))))
#s(approx (* (- (/ (+ (* -1/4 b) 1/2) a) -1/4) a) (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 (+ (* (+ (* (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) a) 1/4) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (* (pow a 3) (- (+ (* 1/48 b) (* 1/2 (+ 1/6 (* 1/48 b)))) (+ 5/48 (* 1/32 b))))))
#s(approx (+ (* (+ (* (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) a) 1/4) a) (+ (* -1/4 b) 1/2)) (*.f64 (pow.f64 a #s(literal 3 binary64)) (-.f64 (fma.f64 #s(literal 1/48 binary64) b (fma.f64 #s(literal 1/96 binary64) b #s(literal 1/12 binary64))) (fma.f64 #s(literal 1/32 binary64) b #s(literal 5/48 binary64)))))
#s(approx (+ (* (+ (* (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) a) 1/4) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (* (pow a 3) (- (+ (* 1/48 b) (+ (* 1/16 (/ b a)) (* 1/2 (+ 1/6 (* 1/48 b))))) (+ 5/48 (* 1/32 b))))))
#s(approx (+ (* (+ (* (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) a) 1/4) a) (+ (* -1/4 b) 1/2)) (*.f64 (-.f64 (fma.f64 (/.f64 b a) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/48 binary64) b (fma.f64 #s(literal 1/96 binary64) b #s(literal 1/12 binary64)))) (fma.f64 #s(literal 1/32 binary64) b #s(literal 5/48 binary64))) (pow.f64 a #s(literal 3 binary64))))
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#s(approx (+ (* (+ (* (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) a) 1/4) a) (+ (* -1/4 b) 1/2)) (*.f64 (-.f64 (fma.f64 #s(literal 1/48 binary64) b (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 a a)) (fma.f64 #s(literal 1/96 binary64) b #s(literal 1/12 binary64)))) (fma.f64 (/.f64 b a) #s(literal -1/16 binary64) (fma.f64 #s(literal 1/32 binary64) b #s(literal 5/48 binary64)))) (pow.f64 a #s(literal 3 binary64))))
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#s(approx (+ (* (+ (* (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) a) 1/4) a) (+ (* -1/4 b) 1/2)) (*.f64 (-.f64 (fma.f64 (/.f64 b (pow.f64 a #s(literal 3 binary64))) #s(literal -1/4 binary64) (fma.f64 #s(literal 1/48 binary64) b (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal -1/4 binary64)) (*.f64 a a)) (fma.f64 #s(literal 1/96 binary64) b #s(literal 1/12 binary64))))) (fma.f64 (/.f64 b a) #s(literal -1/16 binary64) (fma.f64 #s(literal 1/32 binary64) b #s(literal 5/48 binary64)))) (pow.f64 a #s(literal 3 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (+ 1 (exp b))) #s(hole binary64 (* 1/6 (pow a 3))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (+ 1 (exp b))) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (+ 1 (exp b))) #s(hole binary64 (* (pow a 3) (+ 1/6 (* 1/2 (/ 1 a))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (+ 1 (exp b))) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a) a))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (+ 1 (exp b))) #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 (exp b))) (*.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 (exp b))) #s(hole binary64 (* (pow a 3) (+ 1/6 (+ (* 1/2 (/ 1 a)) (+ (/ 1 (pow a 2)) (+ (/ 1 (pow a 3)) (/ (exp b) (pow a 3)))))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (+ 1 (exp b))) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) a) #s(literal 1 binary64)) (*.f64 a a)) (-.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal -1/6 binary64))) (pow.f64 a #s(literal 3 binary64))))
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#s(approx (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) (*.f64 (-.f64 (fma.f64 #s(literal 1/48 binary64) b (fma.f64 #s(literal 1/96 binary64) b #s(literal 1/12 binary64))) (fma.f64 #s(literal 1/32 binary64) b #s(literal 5/48 binary64))) a))
#s(approx (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) #s(hole binary64 (* a (- (+ (* 1/48 b) (+ (* 1/16 (/ b a)) (* 1/2 (+ 1/6 (* 1/48 b))))) (+ 5/48 (* 1/32 b))))))
#s(approx (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) (*.f64 (-.f64 (fma.f64 (/.f64 b a) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/48 binary64) b (fma.f64 #s(literal 1/96 binary64) b #s(literal 1/12 binary64)))) (fma.f64 #s(literal 1/32 binary64) b #s(literal 5/48 binary64))) a))
#s(approx (+ (* 1/4 a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (+ 1/2 (* -1/4 b)) a)) 1/4)))))
#s(approx (+ (* 1/4 a) (+ (* -1/4 b) 1/2)) (*.f64 (neg.f64 a) (-.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) b #s(literal -1/2 binary64)) a) #s(literal 1/4 binary64))))
#s(approx (* (- (/ (+ (* -1/4 b) 1/2) a) -1/4) a) #s(hole binary64 (* -1 (* a (- (* -1 (/ (+ 1/2 (* -1/4 b)) a)) 1/4)))))
#s(approx (* (- (/ (+ (* -1/4 b) 1/2) a) -1/4) a) (*.f64 (neg.f64 a) (-.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) b #s(literal -1/2 binary64)) a) #s(literal 1/4 binary64))))
#s(approx (+ (* (+ (* (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) a) 1/4) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (* -1 (* (pow a 3) (+ (* -1 (- (+ (* 1/48 b) (* 1/2 (+ 1/6 (* 1/48 b)))) (+ 5/48 (* 1/32 b)))) (* -1/16 (/ b a)))))))
#s(approx (+ (* (+ (* (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) a) 1/4) a) (+ (* -1/4 b) 1/2)) (*.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) (fma.f64 (/.f64 b a) #s(literal -1/16 binary64) (neg.f64 (-.f64 (fma.f64 #s(literal 1/48 binary64) b (fma.f64 #s(literal 1/96 binary64) b #s(literal 1/12 binary64))) (fma.f64 #s(literal 1/32 binary64) b #s(literal 5/48 binary64)))))))
#s(approx (+ (* (+ (* (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) a) 1/4) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (* -1 (* (pow a 3) (+ (* -1 (- (+ (* 1/48 b) (* 1/2 (+ 1/6 (* 1/48 b)))) (+ 5/48 (* 1/32 b)))) (* -1 (/ (+ (* 1/16 b) (* 1/4 (/ 1 a))) a)))))))
#s(approx (+ (* (+ (* (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) a) 1/4) a) (+ (* -1/4 b) 1/2)) (*.f64 (pow.f64 a #s(literal 3 binary64)) (+.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) b (/.f64 #s(literal 1/4 binary64) a)) a) (-.f64 (fma.f64 #s(literal 1/48 binary64) b (fma.f64 #s(literal 1/96 binary64) b #s(literal 1/12 binary64))) (fma.f64 #s(literal 1/32 binary64) b #s(literal 5/48 binary64))))))
#s(approx (+ (* (+ (* (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) a) 1/4) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (* -1 (* (pow a 3) (+ (* -1 (- (+ (* 1/48 b) (* 1/2 (+ 1/6 (* 1/48 b)))) (+ 5/48 (* 1/32 b)))) (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ 1/2 (* -1/4 b)) a)) 1/4) a)) (* 1/16 b)) a)))))))
#s(approx (+ (* (+ (* (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) a) 1/4) a) (+ (* -1/4 b) 1/2)) (*.f64 (pow.f64 a #s(literal 3 binary64)) (+.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) b (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) b #s(literal -1/2 binary64)) a) #s(literal 1/4 binary64)) (neg.f64 a))) a) (-.f64 (fma.f64 #s(literal 1/48 binary64) b (fma.f64 #s(literal 1/96 binary64) b #s(literal 1/12 binary64))) (fma.f64 #s(literal 1/32 binary64) b #s(literal 5/48 binary64))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (+ 1 (exp b))) #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 (exp b))) (*.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1/2 binary64)) a) #s(literal -1 binary64) #s(literal -1/6 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (+ 1 (exp b))) #s(hole binary64 (* -1 (* (pow a 3) (- (* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp b)) a)) 1) a))) a)) 1/6)))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (+ 1 (exp b))) (*.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) (-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (exp.f64 b) #s(literal -1 binary64)) a) #s(literal 1 binary64)) a) #s(literal -1/2 binary64)) a) #s(literal 1/6 binary64))))
#s(approx (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) #s(hole binary64 (* -1 (* a (+ (* -1 (- (+ (* 1/48 b) (* 1/2 (+ 1/6 (* 1/48 b)))) (+ 5/48 (* 1/32 b)))) (* -1/16 (/ b a)))))))
#s(approx (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) (fma.f64 (-.f64 (fma.f64 #s(literal 1/48 binary64) b (fma.f64 #s(literal 1/96 binary64) b #s(literal 1/12 binary64))) (fma.f64 #s(literal 1/32 binary64) b #s(literal 5/48 binary64))) a (*.f64 (*.f64 (/.f64 b a) #s(literal 1/16 binary64)) 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 #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 (/ (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 (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (*.f64 (neg.f64 b) (/.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 a) (/.f64 (neg.f64 (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 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 (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (neg.f64 b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (/.f64 (neg.f64 (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 4 binary64)))) #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (exp.f64 a) (/.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 a) (/.f64 (neg.f64 (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 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 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)))))
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#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 (+ (* 1/4 a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (+ 1/2 (* 1/4 a))))
#s(approx (+ (* 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 (- (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 (+ 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 (* (- (/ (+ (* -1/4 b) 1/2) a) -1/4) a) #s(hole binary64 (* a (+ 1/4 (* 1/2 (/ 1 a))))))
#s(approx (* (- (/ (+ (* -1/4 b) 1/2) a) -1/4) a) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))
#s(approx (* (- (/ (+ (* -1/4 b) 1/2) a) -1/4) a) #s(hole binary64 (+ (* -1/4 b) (* a (+ 1/4 (* 1/2 (/ 1 a)))))))
#s(approx (* (- (/ (+ (* -1/4 b) 1/2) a) -1/4) a) (fma.f64 #s(literal -1/4 binary64) (-.f64 b a) #s(literal 1/2 binary64)))
#s(approx (- 1/8 (+ (* -1/16 b) 1/8)) #s(hole binary64 (* 1/16 b)))
#s(approx (- 1/8 (+ (* -1/16 b) 1/8)) (*.f64 #s(literal 1/16 binary64) b))
#s(approx (+ (* (+ (* (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) a) 1/4) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))))
#s(approx (+ (* (+ (* (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) a) 1/4) a) (+ (* -1/4 b) 1/2)) (fma.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) a) 1/4) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (+ 1/2 (+ (* a (+ 1/4 (* -1/48 (pow a 2)))) (* b (- (* 1/16 (pow a 2)) 1/4))))))
#s(approx (+ (* (+ (* (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) a) 1/4) a) (+ (* -1/4 b) 1/2)) (fma.f64 (fma.f64 (*.f64 a a) #s(literal 1/16 binary64) #s(literal -1/4 binary64)) b (fma.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (+ 1 (exp b))) #s(hole binary64 (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (+ 1 (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 #s(literal 2 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (+ 1 (exp b))) #s(hole binary64 (+ 2 (+ b (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (+ 1 (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 b #s(literal -2 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (+ 1 (exp b))) #s(hole binary64 (+ 2 (+ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (+ 1 (exp b))) #s(hole binary64 (+ 2 (+ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (+ 1 (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 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64))))
#s(approx (/ (+ (* -1/4 b) 1/2) a) #s(hole binary64 (/ 1/2 a)))
#s(approx (/ (+ (* -1/4 b) 1/2) a) (/.f64 #s(literal 1/2 binary64) a))
#s(approx (/ (+ (* -1/4 b) 1/2) a) #s(hole binary64 (+ (* -1/4 (/ b a)) (* 1/2 (/ 1 a)))))
#s(approx (/ (+ (* -1/4 b) 1/2) a) (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a))
#s(approx (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) #s(hole binary64 (* -1/48 a)))
#s(approx (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) (*.f64 #s(literal -1/48 binary64) a))
#s(approx (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) #s(hole binary64 (+ (* -1/48 a) (* 1/16 b))))
#s(approx (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) (fma.f64 #s(literal -1/48 binary64) a (*.f64 #s(literal 1/16 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 #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 (+.f64 (/.f64 (exp.f64 a) b) (/.f64 (neg.f64 (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (+.f64 #s(literal 1 binary64) (exp.f64 a))) b))
#s(approx (+ (* 1/4 a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (* -1/4 b)))
#s(approx (+ (* 1/4 a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal -1/4 binary64) b))
#s(approx (+ (* 1/4 a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (* b (- (+ (* 1/4 (/ a b)) (* 1/2 (/ 1 b))) 1/4))))
#s(approx (+ (* 1/4 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)) (/.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 (+ 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) (fma.f64 (/.f64 #s(literal 2 binary64) b) b b))
#s(approx (* (- (/ (+ (* -1/4 b) 1/2) a) -1/4) a) #s(hole binary64 (* -1/4 b)))
#s(approx (* (- (/ (+ (* -1/4 b) 1/2) a) -1/4) a) (*.f64 #s(literal -1/4 binary64) b))
#s(approx (* (- (/ (+ (* -1/4 b) 1/2) a) -1/4) a) #s(hole binary64 (* b (- (/ (* a (+ 1/4 (* 1/2 (/ 1 a)))) b) 1/4))))
#s(approx (* (- (/ (+ (* -1/4 b) 1/2) a) -1/4) a) (*.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 (+ (* (+ (* (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) a) 1/4) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (* b (- (* 1/16 (pow a 2)) 1/4))))
#s(approx (+ (* (+ (* (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) a) 1/4) a) (+ (* -1/4 b) 1/2)) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/16 binary64) #s(literal -1/4 binary64)) b))
#s(approx (+ (* (+ (* (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) a) 1/4) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (* b (- (+ (* 1/16 (pow a 2)) (+ (* 1/2 (/ 1 b)) (/ (* a (+ 1/4 (* -1/48 (pow a 2)))) b))) 1/4))))
#s(approx (+ (* (+ (* (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) a) 1/4) a) (+ (* -1/4 b) 1/2)) (*.f64 (-.f64 (fma.f64 (*.f64 a a) #s(literal 1/16 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)) b)) #s(literal 1/4 binary64)) b))
#s(approx (/ (+ (* -1/4 b) 1/2) a) #s(hole binary64 (* -1/4 (/ b a))))
#s(approx (/ (+ (* -1/4 b) 1/2) a) (*.f64 (/.f64 b a) #s(literal -1/4 binary64)))
#s(approx (/ (+ (* -1/4 b) 1/2) a) #s(hole binary64 (* b (- (* 1/2 (/ 1 (* a b))) (* 1/4 (/ 1 a))))))
#s(approx (/ (+ (* -1/4 b) 1/2) a) (*.f64 (/.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) b)) a) b))
#s(approx (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) #s(hole binary64 (* b (+ 1/16 (* -1/48 (/ a b))))))
#s(approx (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) (*.f64 (fma.f64 (/.f64 a b) #s(literal -1/48 binary64) #s(literal 1/16 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 #s(literal 1 binary64) (exp.f64 a)))) (+.f64 #s(literal 1 binary64) (exp.f64 a))) b))
#s(approx (+ (* 1/4 a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (* -1 (* b (+ 1/4 (* -1 (/ (+ 1/2 (* 1/4 a)) b)))))))
#s(approx (+ (* 1/4 a) (+ (* -1/4 b) 1/2)) (fma.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)) b) b (*.f64 #s(literal -1/4 binary64) b)))
#s(approx (* (- (/ (+ (* -1/4 b) 1/2) a) -1/4) a) #s(hole binary64 (* -1 (* b (+ 1/4 (* -1 (/ (* a (+ 1/4 (* 1/2 (/ 1 a)))) b)))))))
#s(approx (* (- (/ (+ (* -1/4 b) 1/2) a) -1/4) a) (fma.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)) b) b (*.f64 #s(literal -1/4 binary64) b)))
#s(approx (+ (* (+ (* (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) a) 1/4) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (* -1 (* b (+ 1/4 (* -1/16 (pow a 2)))))))
#s(approx (+ (* (+ (* (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) a) 1/4) a) (+ (* -1/4 b) 1/2)) (*.f64 (neg.f64 b) (fma.f64 (*.f64 a a) #s(literal -1/16 binary64) #s(literal 1/4 binary64))))
#s(approx (+ (* (+ (* (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) a) 1/4) a) (+ (* -1/4 b) 1/2)) #s(hole binary64 (* -1 (* b (+ 1/4 (+ (* -1 (/ (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2))))) b)) (* -1/16 (pow a 2))))))))
#s(approx (+ (* (+ (* (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) a) 1/4) a) (+ (* -1/4 b) 1/2)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)) b) #s(literal -1 binary64) (fma.f64 (*.f64 a a) #s(literal -1/16 binary64) #s(literal 1/4 binary64)))))
#s(approx (/ (+ (* -1/4 b) 1/2) a) #s(hole binary64 (* -1 (* b (- (* 1/4 (/ 1 a)) (* 1/2 (/ 1 (* a b))))))))
#s(approx (/ (+ (* -1/4 b) 1/2) a) (*.f64 (neg.f64 b) (-.f64 (/.f64 #s(literal 1/4 binary64) a) (/.f64 (/.f64 #s(literal 1/2 binary64) b) a))))
#s(approx (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) #s(hole binary64 (* -1 (* b (- (* 1/48 (/ a b)) 1/16)))))
#s(approx (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) (*.f64 (neg.f64 b) (-.f64 (*.f64 (/.f64 a b) #s(literal 1/48 binary64)) #s(literal 1/16 binary64))))

rewrite131.0ms (1.8%)

Memory
0.3MiB live, 192.9MiB allocated; 24ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
071521
097521
1433498
03740484
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
23 → 148
Calls
Call 1
Inputs
(/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #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 #s(literal 1 binary64) (exp.f64 b)))))
#s(approx (exp a) (-.f64 a #s(literal -1 binary64)))
(-.f64 a #s(literal -1 binary64))
#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 #s(literal 1 binary64) (exp.f64 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 (+ (* 1/4 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 (+ (* 1/4 a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal -1/4 binary64) b)))
#s(approx (+ (* 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))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)))
#s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))
(+.f64 #s(literal 2 binary64) b)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* 1/4 a) (+ (* -1/4 b) 1/2)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a) #s(literal -1/4 binary64)) a))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* 1/4 a) (+ (* -1/4 b) 1/2)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a) #s(literal -1/4 binary64)) a)))
#s(approx (+ (* 1/4 a) (+ (* -1/4 b) 1/2)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a) #s(literal -1/4 binary64)) a))
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a) #s(literal -1/4 binary64)) a)
(-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -1/16 binary64) b #s(literal 1/8 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 #s(approx (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) #s(literal -1/48 binary64)) 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 (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (fma.f64 (fma.f64 (fma.f64 #s(approx (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) #s(literal -1/48 binary64)) 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))))
(fma.f64 (fma.f64 (fma.f64 #s(approx (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) #s(literal -1/48 binary64)) 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)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a)
(fma.f64 #s(approx (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) #s(literal -1/48 binary64)) a (-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -1/16 binary64) b #s(literal 1/8 binary64))))
Outputs
(/.f64 (neg.f64 (neg.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))))) (neg.f64 (neg.f64 #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)))))))
(/.f64 (neg.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64)))) (neg.f64 #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))))))
(/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #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)))))
(neg.f64 (/.f64 (neg.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64)))) #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))))))
(neg.f64 (/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (neg.f64 #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) (-.f64 a #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 a a #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal -1 binary64) a)))
(/.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 a a (fma.f64 #s(literal -1 binary64) a #s(literal 1 binary64)))))
(/.f64 (fma.f64 a a #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) a))
(/.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 a a (fma.f64 #s(literal -1 binary64) a #s(literal 1 binary64))))
(-.f64 (/.f64 (*.f64 a a) (+.f64 #s(literal -1 binary64) a)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) a)))
(-.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a a (fma.f64 #s(literal -1 binary64) a #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 a a (fma.f64 #s(literal -1 binary64) a #s(literal 1 binary64)))))
(-.f64 a #s(literal -1 binary64))
#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(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* 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 (+ (* 1/4 a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal -1/4 binary64) b)))
#s(approx (+ (* 1/4 a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal -1/4 binary64) b))
(*.f64 #s(literal -1/4 binary64) b)
(*.f64 b #s(literal -1/4 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)))
(*.f64 (pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1/2 binary64)) (pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1/2 binary64)))
(*.f64 #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) (/.f64 #s(literal -1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
(pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)))))
(/.f64 #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))))
(neg.f64 (/.f64 #s(literal -1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)))))
(exp.f64 (*.f64 (log.f64 #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 (-.f64 (*.f64 b b) #s(literal 4 binary64)) (-.f64 b #s(literal 2 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (*.f64 b b))) (neg.f64 (-.f64 #s(literal 2 binary64) b)))
(/.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 8 binary64))) (neg.f64 (fma.f64 b (-.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 b b)) (-.f64 #s(literal 2 binary64) b))
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 b b (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) b))))
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 b (-.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) b)) (/.f64 (*.f64 b b) (-.f64 #s(literal 2 binary64) b)))
(+.f64 (+.f64 b #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 8 binary64) (fma.f64 b (-.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b (-.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))))
(+.f64 #s(literal 2 binary64) b)
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) b))
(+.f64 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 (+ (* 1/4 a) (+ (* -1/4 b) 1/2)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a) #s(literal -1/4 binary64)) a))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* 1/4 a) (+ (* -1/4 b) 1/2)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a) #s(literal -1/4 binary64)) a)))
#s(approx (+ (* 1/4 a) (+ (* -1/4 b) 1/2)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a) #s(literal -1/4 binary64)) a))
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a) #s(literal -1/4 binary64)) a)
(*.f64 a (-.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a) #s(literal -1/4 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a) #s(literal 2 binary64)) #s(literal 1/16 binary64)) a) (+.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a) #s(literal -1/4 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a) #s(literal 3 binary64)) #s(literal -1/64 binary64)) a) (fma.f64 #s(literal -1/4 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a) #s(literal -1/4 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a) #s(literal 2 binary64))))
(/.f64 (*.f64 a (-.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a) #s(literal 2 binary64)) #s(literal 1/16 binary64))) (+.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a) #s(literal -1/4 binary64)))
(/.f64 (*.f64 a (-.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a) #s(literal 3 binary64)) #s(literal -1/64 binary64))) (fma.f64 #s(literal -1/4 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a) #s(literal -1/4 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/16 binary64) b)) (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/16 binary64) b))) #s(literal 1/64 binary64)) (+.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/16 binary64) b)) #s(literal 1/8 binary64)))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/16 binary64) b)) #s(literal 3 binary64)) #s(literal 1/512 binary64)) (fma.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/16 binary64) b)) (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/16 binary64) b)) (+.f64 #s(literal 1/64 binary64) (*.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/16 binary64) b)) #s(literal 1/8 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/64 binary64) (pow.f64 (fma.f64 #s(literal -1/16 binary64) b #s(literal 1/8 binary64)) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/16 binary64) b))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/512 binary64) (pow.f64 (fma.f64 #s(literal -1/16 binary64) b #s(literal 1/8 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) b #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/16 binary64) b)) #s(literal 1/64 binary64))))
(/.f64 (-.f64 #s(literal 1/64 binary64) (pow.f64 (fma.f64 #s(literal -1/16 binary64) b #s(literal 1/8 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/16 binary64) b)))
(/.f64 (-.f64 #s(literal 1/512 binary64) (pow.f64 (fma.f64 #s(literal -1/16 binary64) b #s(literal 1/8 binary64)) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal -1/16 binary64) b #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/16 binary64) b)) #s(literal 1/64 binary64)))
(-.f64 (/.f64 #s(literal 1/64 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/16 binary64) b))) (/.f64 (pow.f64 (fma.f64 #s(literal -1/16 binary64) b #s(literal 1/8 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/16 binary64) b))))
(-.f64 (/.f64 #s(literal 1/512 binary64) (fma.f64 (fma.f64 #s(literal -1/16 binary64) b #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/16 binary64) b)) #s(literal 1/64 binary64))) (/.f64 (pow.f64 (fma.f64 #s(literal -1/16 binary64) b #s(literal 1/8 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/16 binary64) b #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/16 binary64) b)) #s(literal 1/64 binary64))))
(-.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/16 binary64) b)) #s(literal 1/8 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/16 binary64) b))
(-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -1/16 binary64) b #s(literal 1/8 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 #s(approx (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) #s(literal -1/48 binary64)) a (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/16 binary64) b))) 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)) (fma.f64 (fma.f64 (fma.f64 #s(approx (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) #s(literal -1/48 binary64)) a (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/16 binary64) b))) a #s(literal 1/4 binary64)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
(/.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(approx (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) #s(literal -1/48 binary64)) a (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/16 binary64) b))) a #s(literal 1/4 binary64)) a (*.f64 #s(literal -1/4 binary64) b)) (fma.f64 (fma.f64 (fma.f64 #s(approx (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) #s(literal -1/48 binary64)) a (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/16 binary64) b))) a #s(literal 1/4 binary64)) a (*.f64 #s(literal -1/4 binary64) b))) #s(literal 1/4 binary64)) (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(approx (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) #s(literal -1/48 binary64)) a (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/16 binary64) b))) a #s(literal 1/4 binary64)) a (*.f64 #s(literal -1/4 binary64) b)) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(approx (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) #s(literal -1/48 binary64)) a (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/16 binary64) b))) a #s(literal 1/4 binary64)) a) #s(literal 2 binary64))) (-.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) (*.f64 (fma.f64 (fma.f64 #s(approx (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) #s(literal -1/48 binary64)) a (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/16 binary64) b))) a #s(literal 1/4 binary64)) a)))
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(+.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)) (fma.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) (-.f64 (-.f64 (exp.f64 b) #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)) (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 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 3 binary64)) (fma.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) (-.f64 (-.f64 (exp.f64 b) #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)) (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 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)) (exp.f64 b))
(+.f64 (*.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)))
(+.f64 (-.f64 (exp.f64 b) #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 (exp.f64 b) (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(literal 1 binary64) (+.f64 (exp.f64 b) (*.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 (*.f64 #s(literal -1/4 binary64) b) a) (/.f64 (*.f64 #s(literal -1/4 binary64) b) a)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) a))) (-.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) b) a) (/.f64 #s(literal 1/2 binary64) a)))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) b) a) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) b) a) (/.f64 (*.f64 #s(literal -1/4 binary64) b) a) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) b) a) (/.f64 #s(literal 1/2 binary64) a)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))) (neg.f64 (neg.f64 a)))
(/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) b) a (*.f64 a #s(literal 1/2 binary64))) (*.f64 a a))
(/.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (*.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)) a))
(/.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 b b) (-.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal -1/8 binary64)))) a))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))) (neg.f64 a))
(/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a)
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))) a))
(neg.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) (neg.f64 a)))
(fma.f64 #s(literal -1/4 binary64) (/.f64 b a) (/.f64 #s(literal 1/2 binary64) a))
(fma.f64 b (/.f64 #s(literal -1/4 binary64) a) (/.f64 #s(literal 1/2 binary64) a))
(+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (*.f64 #s(literal -1/4 binary64) b) a))
(+.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) b) a) (/.f64 #s(literal 1/2 binary64) a))
(/.f64 (-.f64 (*.f64 (fma.f64 #s(approx (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) #s(literal -1/48 binary64)) a #s(literal 1/8 binary64)) (fma.f64 #s(approx (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) #s(literal -1/48 binary64)) a #s(literal 1/8 binary64))) (pow.f64 (fma.f64 #s(literal -1/16 binary64) b #s(literal 1/8 binary64)) #s(literal 2 binary64))) (+.f64 (fma.f64 #s(approx (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) #s(literal -1/48 binary64)) a #s(literal 1/8 binary64)) (fma.f64 #s(literal -1/16 binary64) b #s(literal 1/8 binary64))))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/16 binary64) b)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(approx (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) #s(literal -1/48 binary64)) a) #s(literal 2 binary64))) (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/16 binary64) b)) (*.f64 #s(approx (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) #s(literal -1/48 binary64)) a)))
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(approx (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) #s(literal -1/48 binary64)) a #s(literal 1/8 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -1/16 binary64) b #s(literal 1/8 binary64)) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(approx (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) #s(literal -1/48 binary64)) a #s(literal 1/8 binary64)) (fma.f64 #s(approx (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) #s(literal -1/48 binary64)) a #s(literal 1/8 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal -1/16 binary64) b #s(literal 1/8 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(approx (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) #s(literal -1/48 binary64)) a #s(literal 1/8 binary64)) (fma.f64 #s(literal -1/16 binary64) b #s(literal 1/8 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) #s(literal -1/48 binary64)) a) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/16 binary64) b)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(approx (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) #s(literal -1/48 binary64)) a) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/16 binary64) b)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/16 binary64) b)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) #s(literal -1/48 binary64)) a) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/16 binary64) b)) (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/16 binary64) b)) (*.f64 #s(approx (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) #s(literal -1/48 binary64)) a)) (pow.f64 (*.f64 #s(approx (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) #s(literal -1/48 binary64)) a) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) #s(literal -1/48 binary64)) a) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/16 binary64) b)) #s(literal 2 binary64))) (-.f64 (*.f64 #s(approx (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) #s(literal -1/48 binary64)) a) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/16 binary64) b))))
(/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/16 binary64) b)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) #s(literal -1/48 binary64)) a) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/16 binary64) b)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(approx (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) #s(literal -1/48 binary64)) a) #s(literal 2 binary64)) (*.f64 (*.f64 #s(approx (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) #s(literal -1/48 binary64)) a) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/16 binary64) b))))))
(/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/16 binary64) b)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) #s(literal -1/48 binary64)) a) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/16 binary64) b)) (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/16 binary64) b)) (*.f64 #s(approx (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) #s(literal -1/48 binary64)) a)) (pow.f64 (*.f64 #s(approx (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) #s(literal -1/48 binary64)) a) #s(literal 2 binary64))))
(fma.f64 #s(approx (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) #s(literal -1/48 binary64)) a (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/16 binary64) b)))
(fma.f64 a #s(approx (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) #s(literal -1/48 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/16 binary64) b)))
(-.f64 (-.f64 (fma.f64 #s(approx (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) #s(literal -1/48 binary64)) a #s(literal 1/8 binary64)) (*.f64 #s(literal -1/16 binary64) b)) #s(literal 1/8 binary64))
(-.f64 (-.f64 (fma.f64 #s(approx (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) #s(literal -1/48 binary64)) a #s(literal 1/8 binary64)) #s(literal 1/8 binary64)) (*.f64 #s(literal -1/16 binary64) b))
(-.f64 (fma.f64 #s(approx (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) #s(literal -1/48 binary64)) a (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/16 binary64) b))) #s(literal 1/8 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) #s(literal -1/48 binary64)) a) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) #s(literal -1/48 binary64)) a) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/16 binary64) b)))) (/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/16 binary64) b)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) #s(literal -1/48 binary64)) a) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/16 binary64) b)))))
(-.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/16 binary64) b)) (-.f64 #s(literal 1/8 binary64) (*.f64 #s(approx (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) #s(literal -1/48 binary64)) a)))
(-.f64 (fma.f64 #s(approx (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) #s(literal -1/48 binary64)) a #s(literal 1/8 binary64)) (fma.f64 #s(literal -1/16 binary64) b #s(literal 1/8 binary64)))
(-.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/16 binary64) b)) (*.f64 (neg.f64 #s(approx (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) #s(literal -1/48 binary64))) a))
(-.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/16 binary64) b)) (*.f64 (neg.f64 a) #s(approx (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) #s(literal -1/48 binary64))))
(-.f64 #s(literal 1/8 binary64) (-.f64 (fma.f64 #s(literal -1/16 binary64) b #s(literal 1/8 binary64)) (*.f64 #s(approx (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) #s(literal -1/48 binary64)) a)))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) #s(literal -1/48 binary64)) a) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/16 binary64) b)) (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/16 binary64) b)) (*.f64 #s(approx (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) #s(literal -1/48 binary64)) a)) (pow.f64 (*.f64 #s(approx (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) #s(literal -1/48 binary64)) a) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/16 binary64) b)) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/16 binary64) b)) (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/16 binary64) b)) (*.f64 #s(approx (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) #s(literal -1/48 binary64)) a)) (pow.f64 (*.f64 #s(approx (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) #s(literal -1/48 binary64)) a) #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(approx (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) #s(literal -1/48 binary64)) a) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/16 binary64) b)))
(+.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/16 binary64) b)) (*.f64 #s(approx (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) #s(literal -1/48 binary64)) a))

eval41.0ms (0.6%)

Memory
15.4MiB live, 113.6MiB allocated; 9ms collecting garbage
Compiler

Compiled 14 973 to 1 408 computations (90.6% saved)

prune25.0ms (0.3%)

Memory
-8.0MiB live, 84.1MiB allocated; 6ms collecting garbage
Pruning

23 alts after pruning (18 fresh and 5 done)

PrunedKeptTotal
New2527259
Fresh11112
Picked325
Done033
Total25623279
Accuracy
99.9%
Counts
279 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓67.7%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
75.6%
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
76.9%
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
54.3%
(/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) #s(approx (exp b) #s(literal 1 binary64))))))
81.0%
(/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (+ (exp a) (exp b)) (-.f64 (+.f64 (exp.f64 b) a) #s(literal -1 binary64))))
20.0%
(/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (+ 1 (exp b))) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64)))))
21.2%
(/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (+ 1 (exp b))) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a) a))))
86.2%
(/.f64 #s(approx (exp a) #s(approx (- a -1) #s(literal 1 binary64))) #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 #s(literal 1 binary64) (exp.f64 b)))))
86.8%
(/.f64 #s(approx (exp a) #s(approx (- a -1) #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
✓80.1%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
54.9%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
49.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 #s(approx (+ (* 1/2 b) 1) (*.f64 #s(literal 1/2 binary64) b)) b #s(literal 2 binary64)))))
✓39.1%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
14.3%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) b) b b)))))
14.5%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))))
39.1%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ 2 b) (fma.f64 (/.f64 #s(literal 2 binary64) b) b b)))))
3.5%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ 2 b) b))))
42.2%
#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) a #s(approx (+ (* -1/4 b) 1/2) #s(literal 1/2 binary64)))))
39.1%
#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))))
42.1%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* (+ (* (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) a) 1/4) a) (+ (* -1/4 b) 1/2)) (fma.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))))
3.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* 1/4 a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal 1/4 binary64) a))))
✓3.9%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* 1/4 a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal -1/4 binary64) b))))
✓41.6%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
Compiler

Compiled 1 764 to 680 computations (61.5% saved)

regimes111.0ms (1.5%)

Memory
-2.8MiB live, 151.4MiB allocated; 103ms collecting garbage
Counts
34 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* 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 (+ (* 1/4 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)) (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) a #s(approx (+ (* -1/4 b) 1/2) #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))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (fma.f64 #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) (+.f64 #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)) #s(approx (+ (* (+ (* (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) a) 1/4) a) (+ (* -1/4 b) 1/2)) (fma.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #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 (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) b) b b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 #s(approx (+ (* 1/2 b) 1) (*.f64 #s(literal 1/2 binary64) b)) 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(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 (+ (* 1/4 a) (+ (* -1/4 b) 1/2)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a) #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 (+ (* 1/4 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 (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ 2 b) (fma.f64 (/.f64 #s(literal 2 binary64) b) b b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) #s(approx (exp b) #s(literal 1 binary64))))))
(/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (+ 1 (exp b))) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a) 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 (fma.f64 #s(approx (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) #s(literal -1/48 binary64)) 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))) #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 #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) (-.f64 a #s(literal -1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (+ 1 (exp b))) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64)))))
(/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (+ (exp a) (exp b)) (-.f64 (+.f64 (exp.f64 b) a) #s(literal -1 binary64))))
(/.f64 #s(approx (exp a) #s(approx (- a -1) #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(/.f64 #s(approx (exp a) #s(approx (- a -1) #s(literal 1 binary64))) #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 #s(literal 1 binary64) (exp.f64 b)))))
(/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #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 #s(literal 1 binary64) (exp.f64 b)))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) (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))) #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 #s(literal 1 binary64) (exp.f64 b)))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (-.f64 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 (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))))
Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Calls

5 calls:

66.0ms
b
18.0ms
a
9.0ms
(exp.f64 a)
7.0ms
(exp.f64 b)
7.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Results
AccuracySegmentsBranch
98.8%1(exp.f64 b)
98.8%1(exp.f64 a)
98.8%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
98.8%1a
98.8%1b
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes44.0ms (0.6%)

Memory
-25.7MiB live, 123.1MiB allocated; 9ms collecting garbage
Counts
32 → 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 (+ (* 1/4 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 (+ (* 1/4 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)) (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) a #s(approx (+ (* -1/4 b) 1/2) #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))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (fma.f64 #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) (+.f64 #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)) #s(approx (+ (* (+ (* (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) a) 1/4) a) (+ (* -1/4 b) 1/2)) (fma.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #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 (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) b) b b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 #s(approx (+ (* 1/2 b) 1) (*.f64 #s(literal 1/2 binary64) b)) 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(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 (+ (* 1/4 a) (+ (* -1/4 b) 1/2)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a) #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 (+ (* 1/4 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 (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ 2 b) (fma.f64 (/.f64 #s(literal 2 binary64) b) b b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) #s(approx (exp b) #s(literal 1 binary64))))))
(/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (+ 1 (exp b))) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a) 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 (fma.f64 #s(approx (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) #s(literal -1/48 binary64)) 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))) #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 #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) (-.f64 a #s(literal -1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (+ 1 (exp b))) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64)))))
(/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (+ (exp a) (exp b)) (-.f64 (+.f64 (exp.f64 b) a) #s(literal -1 binary64))))
(/.f64 #s(approx (exp a) #s(approx (- a -1) #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(/.f64 #s(approx (exp a) #s(approx (- a -1) #s(literal 1 binary64))) #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 #s(literal 1 binary64) (exp.f64 b)))))
(/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #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 #s(literal 1 binary64) (exp.f64 b)))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) (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))) #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 #s(literal 1 binary64) (exp.f64 b)))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (-.f64 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))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
Calls

5 calls:

10.0ms
b
9.0ms
a
8.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
8.0ms
(exp.f64 b)
6.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
98.9%3(exp.f64 b)
99.7%2(exp.f64 a)
90.1%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
99.7%2a
98.9%3b
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes32.0ms (0.5%)

Memory
34.8MiB live, 81.3MiB allocated; 2ms collecting garbage
Counts
30 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* 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 (+ (* 1/4 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)) (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) a #s(approx (+ (* -1/4 b) 1/2) #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))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (fma.f64 #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) (+.f64 #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)) #s(approx (+ (* (+ (* (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) a) 1/4) a) (+ (* -1/4 b) 1/2)) (fma.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #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 (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) b) b b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 #s(approx (+ (* 1/2 b) 1) (*.f64 #s(literal 1/2 binary64) b)) 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(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 (+ (* 1/4 a) (+ (* -1/4 b) 1/2)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a) #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 (+ (* 1/4 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 (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ 2 b) (fma.f64 (/.f64 #s(literal 2 binary64) b) b b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) #s(approx (exp b) #s(literal 1 binary64))))))
(/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (+ 1 (exp b))) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a) 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 (fma.f64 #s(approx (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) #s(literal -1/48 binary64)) 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))) #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 #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) (-.f64 a #s(literal -1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (+ 1 (exp b))) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64)))))
(/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (+ (exp a) (exp b)) (-.f64 (+.f64 (exp.f64 b) a) #s(literal -1 binary64))))
(/.f64 #s(approx (exp a) #s(approx (- a -1) #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(/.f64 #s(approx (exp a) #s(approx (- a -1) #s(literal 1 binary64))) #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 #s(literal 1 binary64) (exp.f64 b)))))
(/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #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 #s(literal 1 binary64) (exp.f64 b)))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) (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))) #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 #s(literal 1 binary64) (exp.f64 b)))))
Outputs
(/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (+ 1 (exp b))) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a) 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))) #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 #s(literal 1 binary64) (exp.f64 b)))))
Calls

4 calls:

9.0ms
b
8.0ms
a
7.0ms
(exp.f64 a)
6.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
91.5%2(exp.f64 b)
91.5%2b
92.2%2(exp.f64 a)
93.7%2a
Compiler

Compiled 6 to 10 computations (-66.7% saved)

regimes11.0ms (0.2%)

Memory
-20.6MiB live, 25.9MiB allocated; 3ms collecting garbage
Counts
29 → 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 (+ (* 1/4 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 (+ (* 1/4 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)) (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) a #s(approx (+ (* -1/4 b) 1/2) #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))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (fma.f64 #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) (+.f64 #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)) #s(approx (+ (* (+ (* (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) a) 1/4) a) (+ (* -1/4 b) 1/2)) (fma.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #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 (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) b) b b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 #s(approx (+ (* 1/2 b) 1) (*.f64 #s(literal 1/2 binary64) b)) 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(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 (+ (* 1/4 a) (+ (* -1/4 b) 1/2)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a) #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 (+ (* 1/4 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 (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ 2 b) (fma.f64 (/.f64 #s(literal 2 binary64) b) b b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) #s(approx (exp b) #s(literal 1 binary64))))))
(/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (+ 1 (exp b))) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a) 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 (fma.f64 #s(approx (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) #s(literal -1/48 binary64)) 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))) #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 #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) (-.f64 a #s(literal -1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (+ 1 (exp b))) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64)))))
(/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (+ (exp a) (exp b)) (-.f64 (+.f64 (exp.f64 b) a) #s(literal -1 binary64))))
(/.f64 #s(approx (exp a) #s(approx (- a -1) #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(/.f64 #s(approx (exp a) #s(approx (- a -1) #s(literal 1 binary64))) #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 #s(literal 1 binary64) (exp.f64 b)))))
(/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #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 #s(literal 1 binary64) (exp.f64 b)))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
Outputs
(/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (+ 1 (exp b))) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a) a))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
Calls

1 calls:

9.0ms
a
Results
AccuracySegmentsBranch
93.3%2a
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes10.0ms (0.1%)

Memory
27.6MiB live, 27.6MiB allocated; 0ms collecting garbage
Counts
28 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* 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 (+ (* 1/4 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)) (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) a #s(approx (+ (* -1/4 b) 1/2) #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))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (fma.f64 #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) (+.f64 #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)) #s(approx (+ (* (+ (* (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) a) 1/4) a) (+ (* -1/4 b) 1/2)) (fma.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #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 (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) b) b b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 #s(approx (+ (* 1/2 b) 1) (*.f64 #s(literal 1/2 binary64) b)) 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(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 (+ (* 1/4 a) (+ (* -1/4 b) 1/2)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a) #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 (+ (* 1/4 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 (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ 2 b) (fma.f64 (/.f64 #s(literal 2 binary64) b) b b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) #s(approx (exp b) #s(literal 1 binary64))))))
(/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (+ 1 (exp b))) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a) 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 (fma.f64 #s(approx (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) #s(literal -1/48 binary64)) 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))) #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 #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) (-.f64 a #s(literal -1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (+ 1 (exp b))) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64)))))
(/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (+ (exp a) (exp b)) (-.f64 (+.f64 (exp.f64 b) a) #s(literal -1 binary64))))
(/.f64 #s(approx (exp a) #s(approx (- a -1) #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(/.f64 #s(approx (exp a) #s(approx (- a -1) #s(literal 1 binary64))) #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 #s(literal 1 binary64) (exp.f64 b)))))
(/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #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 #s(literal 1 binary64) (exp.f64 b)))))
Outputs
(/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (+ 1 (exp b))) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a) a))))
(/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (+ (exp a) (exp b)) (-.f64 (+.f64 (exp.f64 b) a) #s(literal -1 binary64))))
Calls

1 calls:

8.0ms
a
Results
AccuracySegmentsBranch
92.8%2a
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes16.0ms (0.2%)

Memory
-15.6MiB live, 34.0MiB allocated; 6ms collecting garbage
Counts
23 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* 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 (+ (* 1/4 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)) (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) a #s(approx (+ (* -1/4 b) 1/2) #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))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (fma.f64 #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) (+.f64 #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)) #s(approx (+ (* (+ (* (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) a) 1/4) a) (+ (* -1/4 b) 1/2)) (fma.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #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 (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) b) b b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 #s(approx (+ (* 1/2 b) 1) (*.f64 #s(literal 1/2 binary64) b)) 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(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 (+ (* 1/4 a) (+ (* -1/4 b) 1/2)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a) #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 (+ (* 1/4 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 (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ 2 b) (fma.f64 (/.f64 #s(literal 2 binary64) b) b b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) #s(approx (exp b) #s(literal 1 binary64))))))
(/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (+ 1 (exp b))) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a) 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 (fma.f64 #s(approx (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) #s(literal -1/48 binary64)) 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))) #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 #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) (-.f64 a #s(literal -1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (+ 1 (exp b))) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64)))))
Outputs
(/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (+ 1 (exp b))) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
Calls

2 calls:

7.0ms
a
5.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
90.4%2(exp.f64 a)
91.9%2a
Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes31.0ms (0.4%)

Memory
-18.3MiB live, 74.6MiB allocated; 7ms collecting garbage
Counts
21 → 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 (+ (* 1/4 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 (+ (* 1/4 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)) (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) a #s(approx (+ (* -1/4 b) 1/2) #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))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (fma.f64 #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) (+.f64 #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)) #s(approx (+ (* (+ (* (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) a) 1/4) a) (+ (* -1/4 b) 1/2)) (fma.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #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 (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) b) b b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 #s(approx (+ (* 1/2 b) 1) (*.f64 #s(literal 1/2 binary64) b)) 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(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 (+ (* 1/4 a) (+ (* -1/4 b) 1/2)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a) #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 (+ (* 1/4 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 (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ 2 b) (fma.f64 (/.f64 #s(literal 2 binary64) b) b b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) #s(approx (exp b) #s(literal 1 binary64))))))
(/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (+ 1 (exp b))) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a) 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 (fma.f64 #s(approx (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) #s(literal -1/48 binary64)) 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))) #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 #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
(/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (+ 1 (exp b))) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
Calls

5 calls:

8.0ms
a
6.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
6.0ms
b
4.0ms
(exp.f64 a)
4.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
59.7%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
68.1%2(exp.f64 a)
66.2%2(exp.f64 b)
67.2%2b
68.5%2a
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes17.0ms (0.2%)

Memory
-9.6MiB live, 37.0MiB allocated; 3ms collecting garbage
Counts
18 → 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 (+ (* 1/4 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 (+ (* 1/4 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)) (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) a #s(approx (+ (* -1/4 b) 1/2) #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))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (fma.f64 #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) (+.f64 #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)) #s(approx (+ (* (+ (* (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) a) 1/4) a) (+ (* -1/4 b) 1/2)) (fma.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #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 (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) b) b b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 #s(approx (+ (* 1/2 b) 1) (*.f64 #s(literal 1/2 binary64) b)) 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(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 (+ (* 1/4 a) (+ (* -1/4 b) 1/2)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a) #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 (+ (* 1/4 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 (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ 2 b) (fma.f64 (/.f64 #s(literal 2 binary64) b) b b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) #s(approx (exp b) #s(literal 1 binary64))))))
Outputs
(/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) #s(approx (exp b) #s(literal 1 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #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

3 calls:

5.0ms
a
5.0ms
b
4.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
67.2%2b
63.3%2(exp.f64 a)
63.9%2a
Compiler

Compiled 4 to 7 computations (-75% saved)

regimes25.0ms (0.4%)

Memory
7.9MiB live, 57.4MiB allocated; 4ms collecting garbage
Counts
17 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* 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 (+ (* 1/4 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)) (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) a #s(approx (+ (* -1/4 b) 1/2) #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))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (fma.f64 #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) (+.f64 #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)) #s(approx (+ (* (+ (* (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) a) 1/4) a) (+ (* -1/4 b) 1/2)) (fma.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #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 (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) b) b b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 #s(approx (+ (* 1/2 b) 1) (*.f64 #s(literal 1/2 binary64) b)) 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(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 (+ (* 1/4 a) (+ (* -1/4 b) 1/2)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a) #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 (+ (* 1/4 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 (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ 2 b) (fma.f64 (/.f64 #s(literal 2 binary64) b) b b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
Outputs
#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 (+ (* (+ (* (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) a) 1/4) a) (+ (* -1/4 b) 1/2)) (fma.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))))
Calls

5 calls:

6.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
5.0ms
a
5.0ms
b
4.0ms
(exp.f64 a)
4.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
58.5%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
54.9%1(exp.f64 a)
54.9%1a
58.3%2(exp.f64 b)
58.4%2b
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes23.0ms (0.3%)

Memory
7.5MiB live, 54.3MiB allocated; 2ms collecting garbage
Counts
16 → 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 (+ (* 1/4 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 (+ (* 1/4 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)) (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) a #s(approx (+ (* -1/4 b) 1/2) #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))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (fma.f64 #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) (+.f64 #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)) #s(approx (+ (* (+ (* (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) a) 1/4) a) (+ (* -1/4 b) 1/2)) (fma.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #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 (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) b) b b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 #s(approx (+ (* 1/2 b) 1) (*.f64 #s(literal 1/2 binary64) b)) 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(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 (+ (* 1/4 a) (+ (* -1/4 b) 1/2)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a) #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 (+ (* 1/4 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 (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ 2 b) (fma.f64 (/.f64 #s(literal 2 binary64) b) b b)))))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 #s(approx (+ (* 1/2 b) 1) (*.f64 #s(literal 1/2 binary64) 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 (+ (* (+ (* (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) a) 1/4) a) (+ (* -1/4 b) 1/2)) (fma.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))))
Calls

5 calls:

6.0ms
a
5.0ms
b
4.0ms
(exp.f64 a)
4.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
3.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
50.0%1(exp.f64 a)
50.0%1a
53.2%2(exp.f64 b)
53.3%2b
53.4%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes7.0ms (0.1%)

Memory
17.2MiB live, 17.2MiB allocated; 0ms 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 (+ (* 1/4 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 (+ (* 1/4 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)) (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) a #s(approx (+ (* -1/4 b) 1/2) #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))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (fma.f64 #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) (+.f64 #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)) #s(approx (+ (* (+ (* (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) a) 1/4) a) (+ (* -1/4 b) 1/2)) (fma.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #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 (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) b) b b)))))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) b) b b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* (+ (* (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) a) 1/4) a) (+ (* -1/4 b) 1/2)) (fma.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))))
Calls

2 calls:

4.0ms
b
3.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Results
AccuracySegmentsBranch
53.2%2b
53.2%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes12.0ms (0.2%)

Memory
-24.8MiB live, 20.7MiB allocated; 7ms collecting garbage
Counts
10 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* 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 (+ (* 1/4 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)) (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) a #s(approx (+ (* -1/4 b) 1/2) #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))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (fma.f64 #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) (+.f64 #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)) #s(approx (+ (* (+ (* (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) a) 1/4) a) (+ (* -1/4 b) 1/2)) (fma.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #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 (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))))
Outputs
#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) a #s(approx (+ (* -1/4 b) 1/2) #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))))
Calls

3 calls:

7.0ms
b
2.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
2.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
53.2%2b
53.2%2(exp.f64 b)
53.2%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 11 to 11 computations (0% saved)

regimes14.0ms (0.2%)

Memory
33.6MiB live, 33.6MiB allocated; 0ms collecting garbage
Counts
9 → 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 (+ (* 1/4 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 (+ (* 1/4 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)) (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) a #s(approx (+ (* -1/4 b) 1/2) #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))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (fma.f64 #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) (+.f64 #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)) #s(approx (+ (* (+ (* (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) a) 1/4) a) (+ (* -1/4 b) 1/2)) (fma.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))))
Outputs
#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) a #s(approx (+ (* -1/4 b) 1/2) #s(literal 1/2 binary64)))))
Calls

5 calls:

3.0ms
b
3.0ms
a
2.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
2.0ms
(exp.f64 b)
2.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
42.2%1(exp.f64 a)
42.2%1a
42.2%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
42.2%1b
42.2%1(exp.f64 b)
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes12.0ms (0.2%)

Memory
-24.1MiB live, 21.5MiB allocated; 6ms collecting garbage
Accuracy

Total -25.0b remaining (-66.9%)

Threshold costs -25b (-66.9%)

Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* 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 (+ (* 1/4 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)) (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)))
Calls

5 calls:

5.0ms
b
2.0ms
a
2.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms
(exp.f64 a)
1.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
41.6%1a
41.6%1(exp.f64 a)
41.6%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
41.6%1b
41.6%1(exp.f64 b)
Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch14.0ms (0.2%)

Memory
25.1MiB live, 25.1MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
12.0ms
-261237.81412268386
-304.00017710799233
Samples
7.0ms128×0valid
Compiler

Compiled 355 to 227 computations (36.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-exp: 2.0ms (51.4% of total)
ival-div: 1.0ms (25.7% of total)
ival-add: 1.0ms (25.7% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch22.0ms (0.3%)

Memory
-22.1MiB live, 27.0MiB allocated; 17ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
20.0ms
-2.433455609808913e+74
-6.885695861683929e+72
Samples
13.0ms112×0valid
1.0ms17×0exit
Compiler

Compiled 508 to 326 computations (35.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-exp: 2.0ms (54.7% of total)
ival-div: 1.0ms (27.3% of total)
ival-add: 1.0ms (27.3% 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
3.1MiB live, 3.1MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
-2.433455609808913e+74
-6.885695861683929e+72
Compiler

Compiled 466 to 312 computations (33% saved)

bsearch1.0ms (0%)

Memory
3.1MiB live, 3.1MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
-2.433455609808913e+74
-6.885695861683929e+72
Compiler

Compiled 410 to 298 computations (27.3% saved)

bsearch1.0ms (0%)

Memory
2.8MiB live, 2.8MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
-2.433455609808913e+74
-6.885695861683929e+72
Compiler

Compiled 382 to 291 computations (23.8% saved)

bsearch21.0ms (0.3%)

Memory
-8.8MiB live, 36.4MiB allocated; 7ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
19.0ms
-1.7726517141361496e+49
-7.379643298901081e+43
Samples
11.0ms144×0valid
1.0ms19×0exit
Compiler

Compiled 587 to 425 computations (27.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-exp: 6.0ms (73.4% of total)
ival-div: 1.0ms (12.2% of total)
ival-add: 1.0ms (12.2% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch15.0ms (0.2%)

Memory
27.5MiB live, 27.5MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
13.0ms
3.643445381394828e+97
5.266238549673928e+104
Samples
7.0ms144×0valid
Compiler

Compiled 470 to 335 computations (28.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-exp: 2.0ms (51.6% of total)
ival-div: 1.0ms (25.8% of total)
ival-add: 1.0ms (25.8% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
0.49991914378263586
Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
0.49991914378263586
Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
0.49991914378263586
Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.0000000000000002
+inf
Compiler

Compiled 11 to 11 computations (0% saved)

simplify73.0ms (1%)

Memory
2.1MiB live, 92.5MiB allocated; 17ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0151937
1214926
2456914
31484902
47425902
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 -330 binary64)) (/.f64 (exp.f64 a) (+.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))) #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 #s(literal 1 binary64) (exp.f64 b))))))
(if (<=.f64 a #s(literal -240000000000000008482290701564079719198996772191764583928833789717670526976 binary64)) (/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (+ 1 (exp b))) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a) 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))) #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 #s(literal 1 binary64) (exp.f64 b))))))
(if (<=.f64 a #s(literal -240000000000000008482290701564079719198996772191764583928833789717670526976 binary64)) (/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (+ 1 (exp b))) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a) a)))) (/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) (exp.f64 b))))))
(if (<=.f64 a #s(literal -240000000000000008482290701564079719198996772191764583928833789717670526976 binary64)) (/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (+ 1 (exp b))) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a) a)))) (/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (+ (exp a) (exp b)) (-.f64 (+.f64 (exp.f64 b) a) #s(literal -1 binary64)))))
(if (<=.f64 a #s(literal -240000000000000008482290701564079719198996772191764583928833789717670526976 binary64)) (/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (+ 1 (exp b))) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a) a)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
(if (<=.f64 a #s(literal -17499999999999998739061292923666411311370705305600 binary64)) (/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (+ 1 (exp b))) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a) a)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))))
(if (<=.f64 b #s(literal 8499999999999999618424649100915370533529820064297460014433909236216550303362722911142909623392832323584 binary64)) (/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) #s(approx (exp b) #s(literal 1 binary64)))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #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 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 0 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 (+ (* (+ (* (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) a) 1/4) a) (+ (* -1/4 b) 1/2)) (fma.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))))))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 0 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 #s(approx (+ (* 1/2 b) 1) (*.f64 #s(literal 1/2 binary64) 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 (+ (* (+ (* (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) a) 1/4) a) (+ (* -1/4 b) 1/2)) (fma.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))))))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 0 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) b) b b))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* (+ (* (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) a) 1/4) a) (+ (* -1/4 b) 1/2)) (fma.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))))))
(if (<=.f64 (exp.f64 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 #s(literal 1/4 binary64) a #s(approx (+ (* -1/4 b) 1/2) #s(literal 1/2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b 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) a #s(approx (+ (* -1/4 b) 1/2) #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 -330 binary64)) (/.f64 (exp.f64 a) (+.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))) #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 #s(literal 1 binary64) (exp.f64 b))))))
(if (<=.f64 a #s(literal -240000000000000008482290701564079719198996772191764583928833789717670526976 binary64)) (/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (+ 1 (exp b))) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a) 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))) #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 #s(literal 1 binary64) (exp.f64 b))))))
(if (<=.f64 a #s(literal -240000000000000008482290701564079719198996772191764583928833789717670526976 binary64)) (/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (+ 1 (exp b))) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a) a)))) (/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) (exp.f64 b))))))
(if (<=.f64 a #s(literal -240000000000000008482290701564079719198996772191764583928833789717670526976 binary64)) (/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (+ 1 (exp b))) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a) a)))) (/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (+ (exp a) (exp b)) (-.f64 (+.f64 (exp.f64 b) a) #s(literal -1 binary64)))))
(if (<=.f64 a #s(literal -240000000000000008482290701564079719198996772191764583928833789717670526976 binary64)) (/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (+ 1 (exp b))) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a) a)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
(if (<=.f64 a #s(literal -17499999999999998739061292923666411311370705305600 binary64)) (/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) (+ 1 (exp b))) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a) a)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))))
(if (<=.f64 b #s(literal 8499999999999999618424649100915370533529820064297460014433909236216550303362722911142909623392832323584 binary64)) (/.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) #s(approx (exp b) #s(literal 1 binary64)))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #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 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 0 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 (+ (* (+ (* (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) a) 1/4) a) (+ (* -1/4 b) 1/2)) (fma.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))))))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 0 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 #s(approx (+ (* 1/2 b) 1) (*.f64 #s(literal 1/2 binary64) 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 (+ (* (+ (* (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) a) 1/4) a) (+ (* -1/4 b) 1/2)) (fma.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))))))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 0 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) b) b b))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* (+ (* (+ (* (- (* (+ (* 1/48 b) 1/6) 1/2) (+ (* (- 1/8 (+ (* -1/16 b) 1/8)) 1/2) (- 5/48 (* 1/48 b)))) a) (- 1/8 (+ (* -1/16 b) 1/8))) a) 1/4) a) (+ (* -1/4 b) 1/2)) (fma.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))))))
(if (<=.f64 (exp.f64 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 #s(literal 1/4 binary64) a #s(approx (+ (* -1/4 b) 1/2) #s(literal 1/2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b 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) a #s(approx (+ (* -1/4 b) 1/2) #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))

derivations1.2s (16.7%)

Memory
34.3MiB live, 1 021.5MiB allocated; 264ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 937 to 157 computations (83.2% saved)

preprocess71.0ms (1%)

Memory
29.2MiB live, 117.0MiB allocated; 18ms collecting garbage
Compiler

Compiled 1 906 to 340 computations (82.2% saved)

end0.0ms (0%)

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

Profiling

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