Quotient of sum of exps

Time bar (total: 7.5s)

start0.0ms (0%)

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

analyze10.0ms (0.1%)

Memory
-16.7MiB live, 31.3MiB allocated; 1ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
50%50%50%0.1%0%0%0%2
75%74.9%25%0.1%0%0%0%3
87.5%87.4%12.5%0.1%0%0%0%4
93.8%93.7%6.2%0.1%0%0%0%5
93.8%93.7%6.2%0.1%0%0%0%6
95.2%93.7%4.7%0.1%0%1.6%0%7
96%93.7%3.9%0.1%0%2.3%0%8
97.2%93.7%2.7%0.1%0%3.5%0%9
97.8%93.7%2.1%0.1%0%4.1%0%10
98.5%93.7%1.5%0.1%0%4.8%0%11
98.8%93.7%1.1%0.1%0%5.1%0%12
Compiler

Compiled 10 to 8 computations (20% saved)

sample1.6s (21.2%)

Memory
-174.4MiB live, 3 523.8MiB allocated; 1.1s collecting garbage
Samples
973.0ms8 256×0valid
207.0ms3 103×0exit
Precisions
Click to see histograms. Total time spent on operations: 905.0ms
ival-exp: 703.0ms (77.7% of total)
ival-add: 97.0ms (10.7% of total)
ival-div: 89.0ms (9.8% of total)
ival-true: 8.0ms (0.9% of total)
ival-assert: 5.0ms (0.6% of total)
adjust: 3.0ms (0.3% of total)
Bogosity

explain104.0ms (1.4%)

Memory
11.4MiB live, 298.1MiB allocated; 19ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
10-0-(/.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/o10
↳(exp.f64 a)overflow1
↳(+.f64 (exp.f64 a) (exp.f64 b))overflow85
↳(exp.f64 a)overflow1
↳(exp.f64 b)overflow84
Confusion
Predicted +Predicted -
+10
-0255
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+100
-00255
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0255
11
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
41.0ms512×0valid
Compiler

Compiled 50 to 22 computations (56% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-exp: 12.0ms (51.7% of total)
ival-div: 6.0ms (25.9% of total)
ival-add: 4.0ms (17.2% of total)
ival-true: 1.0ms (4.3% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess154.0ms (2%)

Memory
-26.3MiB live, 350.6MiB allocated; 21ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01648
14448
214248
355543
4320843
068
0108
1178
2438
31198
45828
559838
080508
Stop Event
1×iter limit
1×node limit
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

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

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.6%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 8 to 6 computations (25% saved)

simplify132.0ms (1.7%)

Memory
6.1MiB live, 240.1MiB allocated; 26ms 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

localize31.0ms (0.4%)

Memory
-4.1MiB live, 50.7MiB allocated; 8ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(exp.f64 b)
accuracy0.0
(exp.f64 a)
accuracy0.01171875
(+.f64 (exp.f64 a) (exp.f64 b))
accuracy0.2656277510508252
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Samples
13.0ms256×0valid
Compiler

Compiled 21 to 8 computations (61.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-exp: 4.0ms (60% of total)
ival-div: 2.0ms (30% of total)
ival-add: 1.0ms (15% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
8.8MiB live, 8.8MiB allocated; 0ms 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
1.0ms
b
@0
((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp b))
1.0ms
a
@0
((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp b))
1.0ms
a
@inf
((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp b))
1.0ms
a
@-inf
((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp b))
1.0ms
b
@-inf
((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp b))

simplify187.0ms (2.5%)

Memory
9.8MiB live, 193.4MiB allocated; 42ms 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 (2.2%)

Memory
-12.1MiB live, 223.1MiB allocated; 46ms 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))

eval46.0ms (0.6%)

Memory
42.1MiB live, 86.2MiB allocated; 6ms collecting garbage
Compiler

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

prune19.0ms (0.3%)

Memory
-16.5MiB live, 28.7MiB allocated; 6ms collecting garbage
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New4586464
Fresh000
Picked101
Done000
Total4596465
Accuracy
99.7%
Counts
465 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.6%
(/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (+.f64 (exp.f64 a) (exp.f64 b)))
99.6%
(/.f64 (*.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a))) (+.f64 (exp.f64 a) (exp.f64 b)))
▶72.2%
(/.f64 (exp.f64 a) (+.f64 (+.f64 (cosh.f64 a) (exp.f64 b)) (sinh.f64 a)))
▶64.0%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
▶62.7%
#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))))
▶80.2%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
Compiler

Compiled 172 to 122 computations (29.1% saved)

simplify136.0ms (1.8%)

Memory
-9.6MiB live, 177.8MiB allocated; 39ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 (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-diff1
(fma.f64 (neg.f64 (exp.f64 a)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (exp.f64 a))
cost-diff0
(+.f64 (cosh.f64 a) (exp.f64 b))
cost-diff0
(exp.f64 a)
cost-diff0
(/.f64 (exp.f64 a) (+.f64 (+.f64 (cosh.f64 a) (exp.f64 b)) (sinh.f64 a)))
cost-diff3
(+.f64 (+.f64 (cosh.f64 a) (exp.f64 b)) (sinh.f64 a))
cost-diff0
#s(approx (exp b) #s(literal 1 binary64))
cost-diff0
(+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))
cost-diff0
(exp.f64 a)
cost-diff0
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
cost-diff0
(exp.f64 b)
cost-diff0
(-.f64 (exp.f64 b) #s(literal -1 binary64))
cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))
cost-diff0
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
cost-diff0
(neg.f64 a)
cost-diff0
(exp.f64 (neg.f64 a))
cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (+.f64 (exp.f64 a) (exp.f64 b)))
cost-diff3
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
032195
054197
189183
2220180
3914180
08743180
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
#s(literal 1 binary64)
(exp.f64 (neg.f64 a))
(neg.f64 a)
a
(+.f64 (exp.f64 a) (exp.f64 b))
(exp.f64 a)
(exp.f64 b)
b
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))
#s(literal 1 binary64)
(-.f64 (exp.f64 b) #s(literal -1 binary64))
(exp.f64 b)
b
#s(literal -1 binary64)
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(exp.f64 a)
a
(+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))
#s(approx (exp b) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (exp.f64 a) (+.f64 (+.f64 (cosh.f64 a) (exp.f64 b)) (sinh.f64 a)))
(exp.f64 a)
a
(+.f64 (+.f64 (cosh.f64 a) (exp.f64 b)) (sinh.f64 a))
(+.f64 (cosh.f64 a) (exp.f64 b))
(cosh.f64 a)
(exp.f64 b)
b
(sinh.f64 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))))
(/.f64 (fma.f64 (neg.f64 (exp.f64 a)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (exp.f64 a)) (-.f64 (exp.f64 a) #s(literal -1 binary64)))
(fma.f64 (neg.f64 (exp.f64 a)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (exp.f64 a))
(neg.f64 (exp.f64 a))
(exp.f64 a)
a
(/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))
b
(-.f64 (exp.f64 a) #s(literal -1 binary64))
#s(literal -1 binary64)
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
(exp.f64 a)
#s(literal 1 binary64)
(exp.f64 (neg.f64 a))
(neg.f64 a)
a
(+.f64 (exp.f64 a) (exp.f64 b))
(+.f64 (exp.f64 b) (exp.f64 a))
(exp.f64 a)
(exp.f64 b)
b
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))
#s(literal 1 binary64)
(-.f64 (exp.f64 b) #s(literal -1 binary64))
(exp.f64 b)
b
#s(literal -1 binary64)
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a)))
(exp.f64 a)
a
(+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))
(+.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a))
#s(approx (exp b) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (exp.f64 a) (+.f64 (+.f64 (cosh.f64 a) (exp.f64 b)) (sinh.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(exp.f64 a)
a
(+.f64 (+.f64 (cosh.f64 a) (exp.f64 b)) (sinh.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (cosh.f64 a) (exp.f64 b))
(cosh.f64 a)
(exp.f64 b)
b
(sinh.f64 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))) (/.f64 (*.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))))) (-.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 (*.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))))) (-.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))
(*.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
(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)

localize92.0ms (1.2%)

Memory
33.1MiB live, 228.4MiB allocated; 18ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.015625
(/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))
accuracy0.21093750000000003
(fma.f64 (neg.f64 (exp.f64 a)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (exp.f64 a))
accuracy0.2695340010508252
(/.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)))
accuracy23.641112648341622
#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))))
accuracy0.00390625
(cosh.f64 a)
accuracy0.01171875
(+.f64 (cosh.f64 a) (exp.f64 b))
accuracy0.19921875000000003
(+.f64 (+.f64 (cosh.f64 a) (exp.f64 b)) (sinh.f64 a))
accuracy0.2656277510508252
(/.f64 (exp.f64 a) (+.f64 (+.f64 (cosh.f64 a) (exp.f64 b)) (sinh.f64 a)))
accuracy0.0
(exp.f64 a)
accuracy0.01171875
(+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))
accuracy0.2656277510508252
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
accuracy24.386817029498115
#s(approx (exp b) #s(literal 1 binary64))
accuracy0.0
(exp.f64 b)
accuracy0.0078125
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))
accuracy0.0078125
(-.f64 (exp.f64 b) #s(literal -1 binary64))
accuracy0.7753332158975412
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
accuracy0.0
(exp.f64 a)
accuracy0.0078125
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
accuracy0.01171875
(+.f64 (exp.f64 a) (exp.f64 b))
accuracy0.2656277510508252
(/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (+.f64 (exp.f64 a) (exp.f64 b)))
Samples
53.0ms187×0valid
13.0ms69×0exit
Compiler

Compiled 168 to 27 computations (83.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-div: 12.0ms (35.1% of total)
ival-exp: 5.0ms (14.6% of total)
ival-add: 4.0ms (11.7% of total)
ival-sub: 4.0ms (11.7% of total)
ival-cosh: 3.0ms (8.8% of total)
ival-mult: 2.0ms (5.9% of total)
ival-neg: 2.0ms (5.9% of total)
ival-sinh: 2.0ms (5.9% 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)

series65.0ms (0.9%)

Memory
-32.8MiB live, 154.6MiB allocated; 19ms collecting garbage
Counts
22 → 122
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
(/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (+.f64 (exp.f64 a) (exp.f64 b)))
(exp.f64 (neg.f64 a))
(neg.f64 a)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))
(-.f64 (exp.f64 b) #s(literal -1 binary64))
(exp.f64 b)
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(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 (cosh.f64 a) (exp.f64 b)) (sinh.f64 a))
(/.f64 (exp.f64 a) (+.f64 (+.f64 (cosh.f64 a) (exp.f64 b)) (sinh.f64 a)))
(+.f64 (cosh.f64 a) (exp.f64 b))
(fma.f64 (neg.f64 (exp.f64 a)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (exp.f64 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))))
(/.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)))
(neg.f64 (exp.f64 a))
(+.f64 (exp.f64 a) (exp.f64 b))
(cosh.f64 a)
(/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))
Outputs
#s(approx (/ 1 (exp (neg a))) #s(hole binary64 1))
#s(approx (/ 1 (exp (neg a))) #s(hole binary64 (+ 1 a)))
#s(approx (/ 1 (exp (neg a))) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (/ 1 (exp (neg a))) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ (/ 1 (exp (neg 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 (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (* a (- (* 1/6 (/ 1 (+ 1 (exp b)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (+ 1 (exp b))) (/ (* (- (* 1/2 (+ 1 (exp b))) 1/2) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (exp (neg a)) #s(hole binary64 1))
#s(approx (exp (neg a)) #s(hole binary64 (+ 1 (* -1 a))))
#s(approx (exp (neg a)) #s(hole binary64 (+ 1 (* a (- (* 1/2 a) 1)))))
#s(approx (exp (neg a)) #s(hole binary64 (+ 1 (* a (- (* a (+ 1/2 (* -1/6 a))) 1)))))
#s(approx (neg a) #s(hole binary64 (* -1 a)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (exp a) #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 (+ (+ (cosh a) (exp b)) (sinh a)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (+ (cosh a) (exp b)) (sinh a)) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (+ (+ (cosh a) (exp b)) (sinh a)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (+ (cosh a) (exp b)) (sinh a)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))
#s(approx (/ (exp a) (+ (+ (cosh a) (exp b)) (sinh a))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ (exp a) (+ (+ (cosh a) (exp b)) (sinh a))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (+ (cosh a) (exp b)) (sinh a))) #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) (+ (+ (cosh a) (exp b)) (sinh a))) #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 (+ (cosh a) (exp b)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (cosh a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* 1/2 (pow a 2))))))
#s(approx (+ (cosh a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* (pow a 2) (+ 1/2 (* 1/24 (pow a 2))))))))
#s(approx (+ (cosh a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* (pow a 2) (+ 1/2 (* (pow a 2) (+ 1/24 (* 1/720 (pow a 2))))))))))
#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)) (/ 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)) #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 (cosh a) #s(hole binary64 1))
#s(approx (cosh a) #s(hole binary64 (+ 1 (* 1/2 (pow a 2)))))
#s(approx (cosh a) #s(hole binary64 (+ 1 (* (pow a 2) (+ 1/2 (* 1/24 (pow a 2)))))))
#s(approx (cosh a) #s(hole binary64 (+ 1 (* (pow a 2) (+ 1/2 (* (pow a 2) (+ 1/24 (* 1/720 (pow a 2)))))))))
#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 (/ 1 (exp (neg a))) #s(hole binary64 (/ 1 (exp (neg a)))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))))
#s(approx (exp (neg a)) #s(hole binary64 (exp (neg 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 (+ (+ (cosh a) (exp b)) (sinh a)) #s(hole binary64 (+ (exp b) (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))))
#s(approx (/ (exp a) (+ (+ (cosh a) (exp b)) (sinh a))) #s(hole binary64 (/ (exp a) (+ (exp b) (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))))))
#s(approx (+ (cosh a) (exp b)) #s(hole binary64 (+ (exp b) (* 1/2 (+ (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)) (/ 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)) #s(hole binary64 (* -1 (exp a))))
#s(approx (cosh a) #s(hole binary64 (* 1/2 (+ (exp a) (/ 1 (exp a))))))
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (/ 1 (exp (neg a))) #s(hole binary64 (/ 1 (exp (* -1 a)))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))))
#s(approx (exp (neg a)) #s(hole binary64 (exp (* -1 a))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (* (exp (neg a)) (+ 1 (exp a))))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (/ b (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* b (- (+ (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (+ (* 1/6 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 4)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3)))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 1/2))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))))
#s(approx (- (exp b) -1) #s(hole binary64 2))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 b)))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (exp b) #s(hole binary64 1))
#s(approx (exp b) #s(hole binary64 (+ 1 b)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (+ (+ (cosh a) (exp b)) (sinh a)) #s(hole binary64 (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))))
#s(approx (+ (+ (cosh a) (exp b)) (sinh a)) #s(hole binary64 (+ 1 (+ b (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))))))
#s(approx (+ (+ (cosh a) (exp b)) (sinh a)) #s(hole binary64 (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (+ (* 1/2 (- (exp a) (/ 1 (exp a)))) (* b (+ 1 (* 1/2 b))))))))
#s(approx (+ (+ (cosh a) (exp b)) (sinh a)) #s(hole binary64 (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (+ (* 1/2 (- (exp a) (/ 1 (exp a)))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))))
#s(approx (/ (exp a) (+ (+ (cosh a) (exp b)) (sinh a))) #s(hole binary64 (/ (exp a) (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))))))
#s(approx (/ (exp a) (+ (+ (cosh a) (exp b)) (sinh a))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))) 2))) (/ (exp a) (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))))))
#s(approx (/ (exp a) (+ (+ (cosh a) (exp b)) (sinh a))) #s(hole binary64 (+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))) 2)))))) (/ (exp a) (pow (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))) 2)))) (/ (exp a) (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))))))
#s(approx (/ (exp a) (+ (+ (cosh a) (exp b)) (sinh a))) #s(hole binary64 (+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))) 2)))) (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))) 2)))))) (/ (exp a) (pow (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))) 2)))) (/ (exp a) (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))))))
#s(approx (+ (cosh a) (exp b)) #s(hole binary64 (+ 1 (* 1/2 (+ (exp a) (/ 1 (exp a)))))))
#s(approx (+ (cosh a) (exp b)) #s(hole binary64 (+ 1 (+ b (* 1/2 (+ (exp a) (/ 1 (exp a))))))))
#s(approx (+ (cosh a) (exp b)) #s(hole binary64 (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (cosh a) (exp b)) #s(hole binary64 (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#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 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 (- (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)) #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 (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 (+ (* -1 (/ (exp a) b)) (/ (exp a) (+ 1 (exp a))))))))
#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)))))))
Calls

6 calls:

TimeVariablePointExpression
14.0ms
b
@0
((/ 1 (exp (neg a))) (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (exp (neg a)) (neg a) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (exp b) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp b) (+ (+ (cosh a) (exp b)) (sinh a)) (/ (exp a) (+ (+ (cosh a) (exp b)) (sinh a))) (+ (cosh a) (exp b)) (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (/ (exp a) (+ (exp a) (exp b))) (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (neg (exp a)) (+ (exp a) (exp b)) (cosh a) (/ b (- (exp a) -1)))
11.0ms
a
@0
((/ 1 (exp (neg a))) (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (exp (neg a)) (neg a) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (exp b) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp b) (+ (+ (cosh a) (exp b)) (sinh a)) (/ (exp a) (+ (+ (cosh a) (exp b)) (sinh a))) (+ (cosh a) (exp b)) (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (/ (exp a) (+ (exp a) (exp b))) (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (neg (exp a)) (+ (exp a) (exp b)) (cosh a) (/ b (- (exp a) -1)))
10.0ms
b
@inf
((/ 1 (exp (neg a))) (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (exp (neg a)) (neg a) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (exp b) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp b) (+ (+ (cosh a) (exp b)) (sinh a)) (/ (exp a) (+ (+ (cosh a) (exp b)) (sinh a))) (+ (cosh a) (exp b)) (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (/ (exp a) (+ (exp a) (exp b))) (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (neg (exp a)) (+ (exp a) (exp b)) (cosh a) (/ b (- (exp a) -1)))
8.0ms
a
@inf
((/ 1 (exp (neg a))) (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (exp (neg a)) (neg a) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (exp b) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp b) (+ (+ (cosh a) (exp b)) (sinh a)) (/ (exp a) (+ (+ (cosh a) (exp b)) (sinh a))) (+ (cosh a) (exp b)) (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (/ (exp a) (+ (exp a) (exp b))) (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (neg (exp a)) (+ (exp a) (exp b)) (cosh a) (/ b (- (exp a) -1)))
8.0ms
b
@-inf
((/ 1 (exp (neg a))) (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (exp (neg a)) (neg a) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (exp b) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp b) (+ (+ (cosh a) (exp b)) (sinh a)) (/ (exp a) (+ (+ (cosh a) (exp b)) (sinh a))) (+ (cosh a) (exp b)) (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (/ (exp a) (+ (exp a) (exp b))) (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (neg (exp a)) (+ (exp a) (exp b)) (cosh a) (/ b (- (exp a) -1)))

simplify184.0ms (2.4%)

Memory
0.4MiB live, 255.4MiB allocated; 55ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05563726
114953330
265093272
080633088
Stop Event
1×iter limit
1×node limit
Counts
122 → 122
Calls
Call 1
Inputs
#s(approx (/ 1 (exp (neg a))) #s(hole binary64 1))
#s(approx (/ 1 (exp (neg a))) #s(hole binary64 (+ 1 a)))
#s(approx (/ 1 (exp (neg a))) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (/ 1 (exp (neg a))) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ (/ 1 (exp (neg 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 (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (* a (- (* 1/6 (/ 1 (+ 1 (exp b)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (+ 1 (exp b))) (/ (* (- (* 1/2 (+ 1 (exp b))) 1/2) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (exp (neg a)) #s(hole binary64 1))
#s(approx (exp (neg a)) #s(hole binary64 (+ 1 (* -1 a))))
#s(approx (exp (neg a)) #s(hole binary64 (+ 1 (* a (- (* 1/2 a) 1)))))
#s(approx (exp (neg a)) #s(hole binary64 (+ 1 (* a (- (* a (+ 1/2 (* -1/6 a))) 1)))))
#s(approx (neg a) #s(hole binary64 (* -1 a)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (exp a) #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 (+ (+ (cosh a) (exp b)) (sinh a)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (+ (cosh a) (exp b)) (sinh a)) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (+ (+ (cosh a) (exp b)) (sinh a)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (+ (cosh a) (exp b)) (sinh a)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))
#s(approx (/ (exp a) (+ (+ (cosh a) (exp b)) (sinh a))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ (exp a) (+ (+ (cosh a) (exp b)) (sinh a))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (+ (cosh a) (exp b)) (sinh a))) #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) (+ (+ (cosh a) (exp b)) (sinh a))) #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 (+ (cosh a) (exp b)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (cosh a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* 1/2 (pow a 2))))))
#s(approx (+ (cosh a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* (pow a 2) (+ 1/2 (* 1/24 (pow a 2))))))))
#s(approx (+ (cosh a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* (pow a 2) (+ 1/2 (* (pow a 2) (+ 1/24 (* 1/720 (pow a 2))))))))))
#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)) (/ 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)) #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 (cosh a) #s(hole binary64 1))
#s(approx (cosh a) #s(hole binary64 (+ 1 (* 1/2 (pow a 2)))))
#s(approx (cosh a) #s(hole binary64 (+ 1 (* (pow a 2) (+ 1/2 (* 1/24 (pow a 2)))))))
#s(approx (cosh a) #s(hole binary64 (+ 1 (* (pow a 2) (+ 1/2 (* (pow a 2) (+ 1/24 (* 1/720 (pow a 2)))))))))
#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 (/ 1 (exp (neg a))) #s(hole binary64 (/ 1 (exp (neg a)))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))))
#s(approx (exp (neg a)) #s(hole binary64 (exp (neg 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 (+ (+ (cosh a) (exp b)) (sinh a)) #s(hole binary64 (+ (exp b) (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))))
#s(approx (/ (exp a) (+ (+ (cosh a) (exp b)) (sinh a))) #s(hole binary64 (/ (exp a) (+ (exp b) (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))))))
#s(approx (+ (cosh a) (exp b)) #s(hole binary64 (+ (exp b) (* 1/2 (+ (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)) (/ 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)) #s(hole binary64 (* -1 (exp a))))
#s(approx (cosh a) #s(hole binary64 (* 1/2 (+ (exp a) (/ 1 (exp a))))))
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (/ 1 (exp (neg a))) #s(hole binary64 (/ 1 (exp (* -1 a)))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))))
#s(approx (exp (neg a)) #s(hole binary64 (exp (* -1 a))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (* (exp (neg a)) (+ 1 (exp a))))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (/ b (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* b (- (+ (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (+ (* 1/6 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 4)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3)))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 1/2))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))))
#s(approx (- (exp b) -1) #s(hole binary64 2))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 b)))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (exp b) #s(hole binary64 1))
#s(approx (exp b) #s(hole binary64 (+ 1 b)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (+ (+ (cosh a) (exp b)) (sinh a)) #s(hole binary64 (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))))
#s(approx (+ (+ (cosh a) (exp b)) (sinh a)) #s(hole binary64 (+ 1 (+ b (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))))))
#s(approx (+ (+ (cosh a) (exp b)) (sinh a)) #s(hole binary64 (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (+ (* 1/2 (- (exp a) (/ 1 (exp a)))) (* b (+ 1 (* 1/2 b))))))))
#s(approx (+ (+ (cosh a) (exp b)) (sinh a)) #s(hole binary64 (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (+ (* 1/2 (- (exp a) (/ 1 (exp a)))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))))
#s(approx (/ (exp a) (+ (+ (cosh a) (exp b)) (sinh a))) #s(hole binary64 (/ (exp a) (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))))))
#s(approx (/ (exp a) (+ (+ (cosh a) (exp b)) (sinh a))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))) 2))) (/ (exp a) (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))))))
#s(approx (/ (exp a) (+ (+ (cosh a) (exp b)) (sinh a))) #s(hole binary64 (+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))) 2)))))) (/ (exp a) (pow (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))) 2)))) (/ (exp a) (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))))))
#s(approx (/ (exp a) (+ (+ (cosh a) (exp b)) (sinh a))) #s(hole binary64 (+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))) 2)))) (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))) 2)))))) (/ (exp a) (pow (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))) 2)))) (/ (exp a) (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))))))
#s(approx (+ (cosh a) (exp b)) #s(hole binary64 (+ 1 (* 1/2 (+ (exp a) (/ 1 (exp a)))))))
#s(approx (+ (cosh a) (exp b)) #s(hole binary64 (+ 1 (+ b (* 1/2 (+ (exp a) (/ 1 (exp a))))))))
#s(approx (+ (cosh a) (exp b)) #s(hole binary64 (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (cosh a) (exp b)) #s(hole binary64 (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#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 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 (- (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)) #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 (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 (+ (* -1 (/ (exp a) b)) (/ (exp a) (+ 1 (exp a))))))))
#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)))))))
Outputs
#s(approx (/ 1 (exp (neg a))) #s(hole binary64 1))
#s(approx (/ 1 (exp (neg a))) #s(literal 1 binary64))
#s(approx (/ 1 (exp (neg a))) #s(hole binary64 (+ 1 a)))
#s(approx (/ 1 (exp (neg a))) (+.f64 #s(literal 1 binary64) a))
#s(approx (/ 1 (exp (neg a))) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (/ 1 (exp (neg a))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
#s(approx (/ 1 (exp (neg a))) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (/ 1 (exp (neg a))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
#s(approx (/ (/ 1 (exp (neg 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 (/ (/ 1 (exp (neg 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 (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (fma.f64 (+.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 b))) (-.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)))) #s(literal 1/2 binary64)) (-.f64 (exp.f64 b) #s(literal -1 binary64)))) 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 (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (* a (- (* 1/6 (/ 1 (+ 1 (exp b)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (+ 1 (exp b))) (/ (* (- (* 1/2 (+ 1 (exp b))) 1/2) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (/.f64 (+.f64 (fma.f64 (fma.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (-.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)))) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (fma.f64 (+.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 b))) (-.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)))) #s(literal 1/2 binary64)) (-.f64 (exp.f64 b) #s(literal -1 binary64)))) (+.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 b))))) (/.f64 #s(literal 1/6 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))) (-.f64 (exp.f64 b) #s(literal -1 binary64)))) a (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (fma.f64 (+.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 b))) (-.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)))) #s(literal 1/2 binary64)) (-.f64 (exp.f64 b) #s(literal -1 binary64))))) 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 (neg a)) #s(hole binary64 1))
#s(approx (exp (neg a)) #s(literal 1 binary64))
#s(approx (exp (neg a)) #s(hole binary64 (+ 1 (* -1 a))))
#s(approx (exp (neg a)) (-.f64 #s(literal 1 binary64) a))
#s(approx (exp (neg a)) #s(hole binary64 (+ 1 (* a (- (* 1/2 a) 1)))))
#s(approx (exp (neg a)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64)) a #s(literal 1 binary64)))
#s(approx (exp (neg a)) #s(hole binary64 (+ 1 (* a (- (* a (+ 1/2 (* -1/6 a))) 1)))))
#s(approx (exp (neg a)) (fma.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 (neg a) #s(hole binary64 (* -1 a)))
#s(approx (neg a) (neg.f64 a))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ (/ 1 (exp (neg 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 (/ (/ 1 (exp (neg 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 (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (fma.f64 (fma.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -3/2 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))) a (-.f64 (/.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)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (fma.f64 (fma.f64 (+.f64 (fma.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1/6 binary64)) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 3 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 4 binary64)))))) a (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -3/2 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)))) 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 (/ 1 (exp (neg a))) #s(literal 1 binary64))
#s(approx (exp a) #s(hole binary64 (+ 1 a)))
#s(approx (/ 1 (exp (neg a))) (+.f64 #s(literal 1 binary64) a))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (/ 1 (exp (neg 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 (/ 1 (exp (neg 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 (+ (+ (cosh a) (exp b)) (sinh a)) (-.f64 (exp.f64 b) #s(literal -1 binary64)))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (+ (+ (cosh a) (exp b)) (sinh a)) (+.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 (+ (+ (cosh a) (exp b)) (sinh a)) (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 (+ (+ (cosh a) (exp b)) (sinh a)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a (-.f64 (exp.f64 b) #s(literal -1 binary64))))
#s(approx (+ (+ (cosh a) (exp b)) (sinh a)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (+ (cosh a) (exp b)) (sinh a)) (-.f64 (exp.f64 b) #s(literal -1 binary64)))
#s(approx (+ (+ (cosh a) (exp b)) (sinh a)) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (+ (+ (cosh a) (exp b)) (sinh a)) (+.f64 (+.f64 (exp.f64 b) a) #s(literal 1 binary64)))
#s(approx (+ (+ (cosh a) (exp b)) (sinh a)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (+ (cosh a) (exp b)) (sinh a)) (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 (+ (+ (cosh a) (exp b)) (sinh a)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))
#s(approx (+ (+ (cosh a) (exp b)) (sinh a)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a (-.f64 (exp.f64 b) #s(literal -1 binary64))))
#s(approx (/ (exp a) (+ (+ (cosh a) (exp b)) (sinh a))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
#s(approx (/ (exp a) (+ (+ (cosh a) (exp b)) (sinh a))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (/ 1 (exp (neg 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) (+ (+ (cosh a) (exp b)) (sinh a))) #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 (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (fma.f64 (fma.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -3/2 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))) a (-.f64 (/.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) (+ (+ (cosh a) (exp b)) (sinh a))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (fma.f64 (fma.f64 (+.f64 (fma.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1/6 binary64)) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 3 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 4 binary64)))))) a (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -3/2 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)))) 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 (+ (cosh a) (exp b)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (cosh a) (exp b)) (-.f64 (exp.f64 b) #s(literal -1 binary64)))
#s(approx (+ (cosh a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* 1/2 (pow a 2))))))
#s(approx (+ (cosh a) (exp b)) (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
#s(approx (+ (cosh a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* (pow a 2) (+ 1/2 (* 1/24 (pow a 2))))))))
#s(approx (+ (cosh a) (exp b)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal 1/2 binary64)) a) a (-.f64 (exp.f64 b) #s(literal -1 binary64))))
#s(approx (+ (cosh a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* (pow a 2) (+ 1/2 (* (pow a 2) (+ 1/24 (* 1/720 (pow a 2))))))))))
#s(approx (+ (cosh a) (exp b)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal 1/2 binary64)) a) a (-.f64 (exp.f64 b) #s(literal -1 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 -1/4 binary64) b (fma.f64 #s(literal 1/2 binary64) a #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 (-.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 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)) (/ 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 (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/16 binary64) b)) (*.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) #s(literal 1/2 binary64))) a (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* a (- (+ (* 1/2 (+ 1/2 (* -1 (- (* 1/4 b) (+ (* 1/8 b) (* 1/2 (- (* 1/2 b) (* 1/4 b)))))))) (* a (- (* 1/2 (+ 1/6 (* -1 (- (* 1/12 b) (+ (* 1/24 b) (+ (* 1/4 (- (* 1/2 b) (* 1/4 b))) (* 1/2 (- (* 1/4 b) (+ (* 1/8 b) (* 1/2 (- (* 1/2 b) (* 1/4 b)))))))))))) (+ (* 1/24 (+ 1 (* -1/2 b))) (+ (* 1/4 (- (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* 1/4 (+ 1 (* -1/2 b))))) (* 1/2 (- (* 1/2 (+ 1/2 (* -1 (- (* 1/4 b) (+ (* 1/8 b) (* 1/2 (- (* 1/2 b) (* 1/4 b)))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* 1/4 (+ 1 (* -1/2 b))))))))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b))))))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/12 binary64)) (fma.f64 (-.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/16 binary64) b)) (*.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) #s(literal 1/4 binary64) (fma.f64 #s(literal -1/48 binary64) b #s(literal 1/24 binary64))))) a (-.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/16 binary64) b)) (*.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))) a (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (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 (cosh a) #s(hole binary64 1))
#s(approx (cosh a) #s(literal 1 binary64))
#s(approx (cosh a) #s(hole binary64 (+ 1 (* 1/2 (pow a 2)))))
#s(approx (cosh a) (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (cosh a) #s(hole binary64 (+ 1 (* (pow a 2) (+ 1/2 (* 1/24 (pow a 2)))))))
#s(approx (cosh a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))
#s(approx (cosh a) #s(hole binary64 (+ 1 (* (pow a 2) (+ 1/2 (* (pow a 2) (+ 1/24 (* 1/720 (pow a 2)))))))))
#s(approx (cosh a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))
#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)) (fma.f64 (fma.f64 #s(literal 0 binary64) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) 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 (/ b (- (exp a) -1)) (fma.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64))) a) #s(literal 0 binary64)) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)))
#s(approx (/ 1 (exp (neg a))) #s(hole binary64 (/ 1 (exp (neg a)))))
#s(approx (/ 1 (exp (neg a))) (exp.f64 a))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))))
#s(approx (exp (neg a)) #s(hole binary64 (exp (neg a))))
#s(approx (exp (neg a)) (exp.f64 (neg.f64 a)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ (exp a) (exp b)))))
#s(approx (/ (/ 1 (exp (neg 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 (/ 1 (exp (neg a))) (exp.f64 a))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b))))
#s(approx (+ (+ (cosh a) (exp b)) (sinh a)) (+.f64 (exp.f64 b) (exp.f64 a)))
#s(approx (+ (+ (cosh a) (exp b)) (sinh a)) #s(hole binary64 (+ (exp b) (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))))
#s(approx (+ (+ (cosh a) (exp b)) (sinh a)) (fma.f64 (+.f64 (-.f64 (exp.f64 a) (exp.f64 (neg.f64 a))) (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 a))) #s(literal 1/2 binary64) (exp.f64 b)))
#s(approx (/ (exp a) (+ (+ (cosh a) (exp b)) (sinh a))) #s(hole binary64 (/ (exp a) (+ (exp b) (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 (exp.f64 a) (fma.f64 (+.f64 (-.f64 (exp.f64 a) (exp.f64 (neg.f64 a))) (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 a))) #s(literal 1/2 binary64) (exp.f64 b))))
#s(approx (+ (cosh a) (exp b)) #s(hole binary64 (+ (exp b) (* 1/2 (+ (exp a) (/ 1 (exp a)))))))
#s(approx (+ (cosh a) (exp b)) (fma.f64 (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 a)) #s(literal 1/2 binary64) (exp.f64 b)))
#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 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (neg.f64 (exp.f64 a)) (exp.f64 a)))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (/ (+ (exp a) (* -1 (/ (* b (exp a)) (+ 1 (exp a))))) (+ 1 (exp a)))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (/.f64 (fma.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (neg.f64 (exp.f64 a)) (exp.f64 a)) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
#s(approx (neg (exp a)) #s(hole binary64 (* -1 (exp a))))
#s(approx (neg (exp a)) (neg.f64 (exp.f64 a)))
#s(approx (cosh a) #s(hole binary64 (* 1/2 (+ (exp a) (/ 1 (exp a))))))
#s(approx (cosh a) (*.f64 (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 a)) #s(literal 1/2 binary64)))
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (/ b (+ 1 (exp a)))))
#s(approx (/ b (- (exp a) -1)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))))
#s(approx (/ 1 (exp (neg a))) #s(hole binary64 (/ 1 (exp (* -1 a)))))
#s(approx (/ 1 (exp (neg a))) (exp.f64 a))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))))
#s(approx (exp (neg a)) #s(hole binary64 (exp (* -1 a))))
#s(approx (exp (neg a)) (exp.f64 (neg.f64 a)))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (* (exp (neg a)) (+ 1 (exp a))))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (/ b (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 (neg.f64 b) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64)))) (exp.f64 (neg.f64 a))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (fma.f64 (-.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (exp.f64 a) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.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 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* b (- (+ (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (+ (* 1/6 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 4)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3)))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))) (*.f64 #s(literal -1/6 binary64) (exp.f64 a))) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (exp.f64 a) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 4 binary64)))) b (/.f64 (fma.f64 #s(literal -1/2 binary64) (exp.f64 a) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.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 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.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 (/ (/ 1 (exp (neg 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))))
#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 (/ (/ 1 (exp (neg 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 (exp.f64 a) #s(literal -1 binary64)))) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (exp.f64 a) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64)))) b (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))))
#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 (neg 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 (exp.f64 a) #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 (neg.f64 (exp.f64 a)) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #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 (exp.f64 a) #s(literal -1 binary64)))) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 a) (/.f64 (neg.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 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 1/2))
#s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (/ 1 (- (exp b) -1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))))
#s(approx (/ 1 (- (exp b) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))
#s(approx (- (exp b) -1) #s(hole binary64 2))
#s(approx (- (exp b) -1) #s(literal 2 binary64))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 b)))
#s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
#s(approx (exp b) #s(hole binary64 1))
#s(approx (exp b) #s(literal 1 binary64))
#s(approx (exp b) #s(hole binary64 (+ 1 b)))
#s(approx (exp b) (+.f64 #s(literal 1 binary64) b))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (+ (cosh a) (exp b)) (sinh a)) (-.f64 (exp.f64 a) #s(literal -1 binary64)))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a)))))
#s(approx (+ (+ (cosh a) (exp b)) (sinh a)) (+.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 (+ (+ (cosh a) (exp b)) (sinh a)) (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 (+ (+ (cosh a) (exp b)) (sinh a)) (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 (+ (+ (cosh a) (exp b)) (sinh a)) #s(hole binary64 (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))))
#s(approx (+ (+ (cosh a) (exp b)) (sinh a)) (fma.f64 (+.f64 (-.f64 (exp.f64 a) (exp.f64 (neg.f64 a))) (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 a))) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (+ (+ (cosh a) (exp b)) (sinh a)) #s(hole binary64 (+ 1 (+ b (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))))))
#s(approx (+ (+ (cosh a) (exp b)) (sinh a)) (fma.f64 (+.f64 (-.f64 (exp.f64 a) (exp.f64 (neg.f64 a))) (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 a))) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) b)))
#s(approx (+ (+ (cosh a) (exp b)) (sinh a)) #s(hole binary64 (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (+ (* 1/2 (- (exp a) (/ 1 (exp a)))) (* b (+ 1 (* 1/2 b))))))))
#s(approx (+ (+ (cosh a) (exp b)) (sinh a)) (fma.f64 (+.f64 (-.f64 (exp.f64 a) (exp.f64 (neg.f64 a))) (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 a))) #s(literal 1/2 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))))
#s(approx (+ (+ (cosh a) (exp b)) (sinh a)) #s(hole binary64 (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (+ (* 1/2 (- (exp a) (/ 1 (exp a)))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))))
#s(approx (+ (+ (cosh a) (exp b)) (sinh a)) (fma.f64 (+.f64 (-.f64 (exp.f64 a) (exp.f64 (neg.f64 a))) (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 a))) #s(literal 1/2 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (+ (cosh a) (exp b)) (sinh a))) #s(hole binary64 (/ (exp a) (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 (exp.f64 a) (fma.f64 (+.f64 (-.f64 (exp.f64 a) (exp.f64 (neg.f64 a))) (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 a))) #s(literal 1/2 binary64) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (+ (cosh a) (exp b)) (sinh a))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))) 2))) (/ (exp a) (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 (+.f64 (/.f64 (*.f64 (neg.f64 b) (exp.f64 a)) (fma.f64 (+.f64 (-.f64 (exp.f64 a) (exp.f64 (neg.f64 a))) (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 a))) #s(literal 1/2 binary64) #s(literal 1 binary64))) (exp.f64 a)) (fma.f64 (+.f64 (-.f64 (exp.f64 a) (exp.f64 (neg.f64 a))) (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 a))) #s(literal 1/2 binary64) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (+ (cosh a) (exp b)) (sinh a))) #s(hole binary64 (+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))) 2)))))) (/ (exp a) (pow (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))) 2)))) (/ (exp a) (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))))))
#s(approx (/ (/ 1 (exp (neg 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)) (fma.f64 (+.f64 (-.f64 (exp.f64 a) (exp.f64 (neg.f64 a))) (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 a))) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (pow.f64 (fma.f64 (+.f64 (-.f64 (exp.f64 a) (exp.f64 (neg.f64 a))) (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 a))) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 (exp.f64 a) (pow.f64 (fma.f64 (+.f64 (-.f64 (exp.f64 a) (exp.f64 (neg.f64 a))) (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 a))) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) b (/.f64 (exp.f64 a) (fma.f64 (+.f64 (-.f64 (exp.f64 a) (exp.f64 (neg.f64 a))) (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 a))) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (+ (cosh a) (exp b)) (sinh a))) #s(hole binary64 (+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))) 2)))) (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))) 2)))))) (/ (exp a) (pow (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))) 2)))) (/ (exp a) (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))))))))
#s(approx (/ (/ 1 (exp (neg 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 (fma.f64 (+.f64 (-.f64 (exp.f64 a) (exp.f64 (neg.f64 a))) (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 a))) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 (neg.f64 (exp.f64 a)) (pow.f64 (fma.f64 (+.f64 (-.f64 (exp.f64 a) (exp.f64 (neg.f64 a))) (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 a))) #s(literal 1/2 binary64) #s(literal 1 binary64)) #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)) (fma.f64 (+.f64 (-.f64 (exp.f64 a) (exp.f64 (neg.f64 a))) (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 a))) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (pow.f64 (fma.f64 (+.f64 (-.f64 (exp.f64 a) (exp.f64 (neg.f64 a))) (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 a))) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 a) (/.f64 (neg.f64 (exp.f64 a)) (fma.f64 (+.f64 (-.f64 (exp.f64 a) (exp.f64 (neg.f64 a))) (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 a))) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (pow.f64 (fma.f64 (+.f64 (-.f64 (exp.f64 a) (exp.f64 (neg.f64 a))) (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 a))) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) b) (/.f64 (exp.f64 a) (pow.f64 (fma.f64 (+.f64 (-.f64 (exp.f64 a) (exp.f64 (neg.f64 a))) (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 a))) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) b (/.f64 (exp.f64 a) (fma.f64 (+.f64 (-.f64 (exp.f64 a) (exp.f64 (neg.f64 a))) (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 a))) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
#s(approx (+ (cosh a) (exp b)) #s(hole binary64 (+ 1 (* 1/2 (+ (exp a) (/ 1 (exp a)))))))
#s(approx (+ (cosh a) (exp b)) (fma.f64 (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 a)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (+ (cosh a) (exp b)) #s(hole binary64 (+ 1 (+ b (* 1/2 (+ (exp a) (/ 1 (exp a))))))))
#s(approx (+ (cosh a) (exp b)) (fma.f64 (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 a)) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) b)))
#s(approx (+ (cosh a) (exp b)) #s(hole binary64 (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (cosh a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (fma.f64 (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 a)) #s(literal 1/2 binary64) #s(literal 1 binary64))))
#s(approx (+ (cosh a) (exp b)) #s(hole binary64 (+ 1 (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (+ (cosh 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 (fma.f64 (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 a)) #s(literal 1/2 binary64) #s(literal 1 binary64))))
#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 (/ (+ (* (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 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (/.f64 (fma.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (neg.f64 (exp.f64 a)) (exp.f64 a)) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
#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 (exp.f64 b) #s(literal -1 binary64))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 1 (exp b))))
#s(approx (- (exp b) -1) (-.f64 (exp.f64 b) #s(literal -1 binary64)))
#s(approx (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)) #s(hole binary64 (* -1 (/ (* b (exp a)) (+ 1 (exp a))))))
#s(approx (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (*.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (neg.f64 (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 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))) #s(literal -1 binary64) (/.f64 (exp.f64 a) b)) 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 b) (/.f64 (exp.f64 a) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a))))))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))) #s(literal -1 binary64) (/.f64 (exp.f64 a) b)) b) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
#s(approx (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ (exp a) b)) (/ (exp a) (+ 1 (exp a))))))))
#s(approx (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (exp.f64 a) b) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (* -1 (* b (+ (* -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 (neg.f64 b) (/.f64 (fma.f64 (/.f64 (exp.f64 a) b) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))) (-.f64 (exp.f64 a) #s(literal -1 binary64)))))

rewrite73.0ms (1%)

Memory
15.6MiB live, 106.7MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032166
054162
1183154
01395154
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
22 → 275
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
(/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (+.f64 (exp.f64 a) (exp.f64 b)))
(exp.f64 (neg.f64 a))
(neg.f64 a)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))
(-.f64 (exp.f64 b) #s(literal -1 binary64))
(exp.f64 b)
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(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 (cosh.f64 a) (exp.f64 b)) (sinh.f64 a))
(/.f64 (exp.f64 a) (+.f64 (+.f64 (cosh.f64 a) (exp.f64 b)) (sinh.f64 a)))
(+.f64 (cosh.f64 a) (exp.f64 b))
(fma.f64 (neg.f64 (exp.f64 a)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (exp.f64 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))))
(/.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)))
(neg.f64 (exp.f64 a))
(+.f64 (exp.f64 a) (exp.f64 b))
(cosh.f64 a)
(/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))
Outputs
(*.f64 (pow.f64 (exp.f64 (neg.f64 a)) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 (neg.f64 a)) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 a)))
(*.f64 #s(literal 1 binary64) (exp.f64 a))
(pow.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (cosh.f64 a) #s(literal 2 binary64)) (pow.f64 (sinh.f64 a) #s(literal 2 binary64))) (exp.f64 (neg.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 (pow.f64 (sinh.f64 a) #s(literal 2 binary64)) (*.f64 (cosh.f64 a) (sinh.f64 a)))))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 a) (*.f64 #s(literal 2 binary64) (sinh.f64 a))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 a)))) #s(literal 4 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 a)))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 a))))
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
(neg.f64 (neg.f64 (exp.f64 a)))
(-.f64 (cosh.f64 a) (sinh.f64 (neg.f64 a)))
(exp.f64 (-.f64 #s(literal 0 binary64) (neg.f64 a)))
(exp.f64 (*.f64 (neg.f64 a) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (neg.f64 a))) #s(literal -1 binary64)))
(exp.f64 a)
(+.f64 (sinh.f64 a) (cosh.f64 a))
(+.f64 (cosh.f64 a) (sinh.f64 a))
(*.f64 (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (-.f64 (exp.f64 a) (exp.f64 b)))
(*.f64 (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))
(*.f64 (/.f64 (exp.f64 a) (*.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (+.f64 (exp.f64 b) (exp.f64 (neg.f64 a))))) (+.f64 (exp.f64 b) (exp.f64 (neg.f64 a))))
(*.f64 (/.f64 (exp.f64 a) (+.f64 (pow.f64 (sinh.f64 a) #s(literal 3 binary64)) (pow.f64 (+.f64 (cosh.f64 a) (exp.f64 b)) #s(literal 3 binary64)))) (fma.f64 (sinh.f64 a) (-.f64 (sinh.f64 a) (+.f64 (cosh.f64 a) (exp.f64 b))) (pow.f64 (+.f64 (cosh.f64 a) (exp.f64 b)) #s(literal 2 binary64))))
(*.f64 (neg.f64 (exp.f64 a)) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 b) (exp.f64 a))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 (neg.f64 a)))))
(pow.f64 (*.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 (neg.f64 a))) #s(literal -1 binary64))
(/.f64 (neg.f64 (exp.f64 a)) (neg.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 a)) (+.f64 (exp.f64 b) (exp.f64 a))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 (neg.f64 a)))))
(/.f64 (exp.f64 a) (neg.f64 (neg.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 (neg.f64 a))))
(neg.f64 (/.f64 (neg.f64 (exp.f64 a)) (+.f64 (exp.f64 b) (exp.f64 a))))
(neg.f64 (/.f64 (exp.f64 a) (neg.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(+.f64 (/.f64 (cosh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) (/.f64 (sinh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 a)))
(pow.f64 (exp.f64 a) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (cosh.f64 a) #s(literal 2 binary64)) (pow.f64 (sinh.f64 a) #s(literal 2 binary64))) (exp.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) (fma.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 (neg.f64 a)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 a) (cosh.f64 a) (-.f64 (pow.f64 (sinh.f64 a) #s(literal 2 binary64)) (*.f64 (cosh.f64 a) (sinh.f64 (neg.f64 a))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 a)))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) (*.f64 #s(literal 2 binary64) (sinh.f64 a))) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 a)))
(/.f64 #s(literal 1 binary64) (exp.f64 a))
(-.f64 (cosh.f64 a) (sinh.f64 a))
(exp.f64 (-.f64 #s(literal 0 binary64) a))
(exp.f64 (neg.f64 a))
(+.f64 (sinh.f64 (neg.f64 a)) (cosh.f64 a))
(+.f64 (cosh.f64 a) (sinh.f64 (neg.f64 a)))
(neg.f64 a)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 b b))) (+.f64 #s(literal -1 binary64) (exp.f64 b)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (exp.f64 b)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))))
(*.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
(pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -1 binary64)))
(/.f64 (neg.f64 (expm1.f64 (+.f64 b b))) (neg.f64 (+.f64 #s(literal -1 binary64) (exp.f64 b))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (exp.f64 b)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))))
(/.f64 (expm1.f64 (+.f64 b b)) (+.f64 #s(literal -1 binary64) (exp.f64 b)))
(/.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (exp.f64 b)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (exp.f64 b))))
(-.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (exp.f64 b)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (exp.f64 b)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))))
(-.f64 (exp.f64 b) #s(literal -1 binary64))
(+.f64 (cosh.f64 b) (-.f64 (sinh.f64 b) #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 (cosh.f64 b) (cosh.f64 b)) (*.f64 (sinh.f64 b) (sinh.f64 b))) (-.f64 (cosh.f64 b) (sinh.f64 b)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 b) #s(literal 3 binary64)) (pow.f64 (sinh.f64 b) #s(literal 3 binary64))) (fma.f64 (cosh.f64 b) (cosh.f64 b) (-.f64 (*.f64 (sinh.f64 b) (sinh.f64 b)) (*.f64 (cosh.f64 b) (sinh.f64 b)))))
(exp.f64 b)
(+.f64 (sinh.f64 b) (cosh.f64 b))
(+.f64 (cosh.f64 b) (sinh.f64 b))
(*.f64 (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(*.f64 (/.f64 (exp.f64 a) (+.f64 (pow.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (-.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))
(/.f64 (neg.f64 (exp.f64 a)) (neg.f64 (+.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a))))
(/.f64 (exp.f64 a) (neg.f64 (neg.f64 (+.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a)))))
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a)))
(neg.f64 (/.f64 (neg.f64 (exp.f64 a)) (+.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a))))
(neg.f64 (/.f64 (exp.f64 a) (neg.f64 (+.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a)))))
(+.f64 (/.f64 (cosh.f64 a) (+.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a))) (/.f64 (sinh.f64 a) (+.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a))))
(*.f64 (pow.f64 (exp.f64 (neg.f64 a)) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 (neg.f64 a)) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 a)))
(*.f64 #s(literal 1 binary64) (exp.f64 a))
(pow.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (cosh.f64 a) #s(literal 2 binary64)) (pow.f64 (sinh.f64 a) #s(literal 2 binary64))) (exp.f64 (neg.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 (pow.f64 (sinh.f64 a) #s(literal 2 binary64)) (*.f64 (cosh.f64 a) (sinh.f64 a)))))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 a) (*.f64 #s(literal 2 binary64) (sinh.f64 a))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 a)))) #s(literal 4 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 a)))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 a))))
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
(neg.f64 (neg.f64 (exp.f64 a)))
(-.f64 (cosh.f64 a) (sinh.f64 (neg.f64 a)))
(exp.f64 (-.f64 #s(literal 0 binary64) (neg.f64 a)))
(exp.f64 (*.f64 (neg.f64 a) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (neg.f64 a))) #s(literal -1 binary64)))
(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))))
(fma.f64 (pow.f64 (exp.f64 (neg.f64 a)) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 (neg.f64 a)) #s(literal -1/2 binary64)) #s(approx (exp b) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 a)) #s(approx (exp b) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) (/.f64 (pow.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))))
(+.f64 (+.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 (pow.f64 (sinh.f64 a) #s(literal 2 binary64)) (pow.f64 (+.f64 (cosh.f64 a) (exp.f64 b)) #s(literal 2 binary64))) (-.f64 (sinh.f64 a) (+.f64 (cosh.f64 a) (exp.f64 b))))
(/.f64 (-.f64 (pow.f64 (cosh.f64 a) #s(literal 2 binary64)) (*.f64 (+.f64 (sinh.f64 a) (exp.f64 b)) (+.f64 (sinh.f64 a) (exp.f64 b)))) (-.f64 (cosh.f64 a) (+.f64 (sinh.f64 a) (exp.f64 b))))
(/.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (-.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 a) #s(literal 3 binary64)) (pow.f64 (+.f64 (sinh.f64 a) (exp.f64 b)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 a) (cosh.f64 a) (-.f64 (*.f64 (+.f64 (sinh.f64 a) (exp.f64 b)) (+.f64 (sinh.f64 a) (exp.f64 b))) (*.f64 (cosh.f64 a) (+.f64 (sinh.f64 a) (exp.f64 b))))))
(/.f64 (neg.f64 (*.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (+.f64 (exp.f64 b) (exp.f64 (neg.f64 a))))) (neg.f64 (+.f64 (exp.f64 b) (exp.f64 (neg.f64 a)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 a) #s(literal 3 binary64)) (pow.f64 (+.f64 (cosh.f64 a) (exp.f64 b)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (sinh.f64 a) (-.f64 (sinh.f64 a) (+.f64 (cosh.f64 a) (exp.f64 b))) (pow.f64 (+.f64 (cosh.f64 a) (exp.f64 b)) #s(literal 2 binary64)))))
(/.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 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) (-.f64 (cosh.f64 a) (exp.f64 b)) (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (cosh.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (-.f64 (cosh.f64 a) (exp.f64 b))))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (cosh.f64 a)) (pow.f64 (cosh.f64 a) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (cosh.f64 a) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (cosh.f64 a)) (pow.f64 (cosh.f64 a) #s(literal 2 binary64)))))
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(/.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 (*.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (neg.f64 (exp.f64 a))) #s(literal 3 binary64)) (pow.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 (exp.f64 a) (expm1.f64 (+.f64 a a))) (+.f64 #s(literal -1 binary64) (exp.f64 a)) (/.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 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (exp.f64 a)) (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))) (-.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 #s(literal -1 binary64) (exp.f64 a)) (/.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 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (/.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 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 a))))
(/.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 a)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 a)))
(neg.f64 (exp.f64 a))
(+.f64 (neg.f64 (cosh.f64 a)) (sinh.f64 (neg.f64 a)))
(/.f64 (-.f64 (pow.f64 (sinh.f64 a) #s(literal 2 binary64)) (pow.f64 (+.f64 (cosh.f64 a) (exp.f64 b)) #s(literal 2 binary64))) (-.f64 (sinh.f64 a) (+.f64 (cosh.f64 a) (exp.f64 b))))
(/.f64 (-.f64 (pow.f64 (cosh.f64 a) #s(literal 2 binary64)) (*.f64 (+.f64 (sinh.f64 a) (exp.f64 b)) (+.f64 (sinh.f64 a) (exp.f64 b)))) (-.f64 (cosh.f64 a) (+.f64 (sinh.f64 a) (exp.f64 b))))
(/.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (-.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 a) #s(literal 3 binary64)) (pow.f64 (+.f64 (sinh.f64 a) (exp.f64 b)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 a) (cosh.f64 a) (-.f64 (*.f64 (+.f64 (sinh.f64 a) (exp.f64 b)) (+.f64 (sinh.f64 a) (exp.f64 b))) (*.f64 (cosh.f64 a) (+.f64 (sinh.f64 a) (exp.f64 b))))))
(/.f64 (neg.f64 (*.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (+.f64 (exp.f64 b) (exp.f64 (neg.f64 a))))) (neg.f64 (+.f64 (exp.f64 b) (exp.f64 (neg.f64 a)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 a) #s(literal 3 binary64)) (pow.f64 (+.f64 (cosh.f64 a) (exp.f64 b)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (sinh.f64 a) (-.f64 (sinh.f64 a) (+.f64 (cosh.f64 a) (exp.f64 b))) (pow.f64 (+.f64 (cosh.f64 a) (exp.f64 b)) #s(literal 2 binary64)))))
(/.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 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) (-.f64 (cosh.f64 a) (exp.f64 b)) (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (cosh.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (-.f64 (cosh.f64 a) (exp.f64 b))))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (cosh.f64 a)) (pow.f64 (cosh.f64 a) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (cosh.f64 a) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (cosh.f64 a)) (pow.f64 (cosh.f64 a) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (-.f64 (pow.f64 (cosh.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))) #s(literal 2 binary64) (*.f64 (-.f64 (cosh.f64 a) (exp.f64 b)) (*.f64 #s(literal 2 binary64) (sinh.f64 a)))) (*.f64 (-.f64 (cosh.f64 a) (exp.f64 b)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (+.f64 (pow.f64 (cosh.f64 a) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64))) #s(literal 2 binary64) (*.f64 (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (cosh.f64 a)) (pow.f64 (cosh.f64 a) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 a)))) (*.f64 (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (cosh.f64 a)) (pow.f64 (cosh.f64 a) #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (*.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (+.f64 (exp.f64 b) (exp.f64 (neg.f64 a)))) (+.f64 (exp.f64 b) (exp.f64 (neg.f64 a))))
(/.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 (sinh.f64 a) #s(literal 3 binary64)) (pow.f64 (+.f64 (cosh.f64 a) (exp.f64 b)) #s(literal 3 binary64))) (fma.f64 (sinh.f64 a) (sinh.f64 a) (-.f64 (pow.f64 (+.f64 (cosh.f64 a) (exp.f64 b)) #s(literal 2 binary64)) (*.f64 (sinh.f64 a) (+.f64 (cosh.f64 a) (exp.f64 b))))))
(/.f64 (+.f64 (pow.f64 (sinh.f64 a) #s(literal 3 binary64)) (pow.f64 (+.f64 (cosh.f64 a) (exp.f64 b)) #s(literal 3 binary64))) (fma.f64 (sinh.f64 a) (-.f64 (sinh.f64 a) (+.f64 (cosh.f64 a) (exp.f64 b))) (pow.f64 (+.f64 (cosh.f64 a) (exp.f64 b)) #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 (exp.f64 b) (exp.f64 b) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (exp.f64 (+.f64 a b)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))) (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (exp.f64 (neg.f64 a)) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 (neg.f64 a)) #s(literal -1/2 binary64)) (exp.f64 b))
(fma.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 a)) (exp.f64 b))
(fma.f64 #s(literal 1 binary64) (exp.f64 a) (exp.f64 b))
(-.f64 (/.f64 (pow.f64 (+.f64 (cosh.f64 a) (exp.f64 b)) #s(literal 2 binary64)) (+.f64 (exp.f64 b) (exp.f64 (neg.f64 a)))) (/.f64 (pow.f64 (sinh.f64 a) #s(literal 2 binary64)) (+.f64 (exp.f64 b) (exp.f64 (neg.f64 a)))))
(-.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b))))
(+.f64 (+.f64 (exp.f64 a) (cosh.f64 b)) (sinh.f64 b))
(+.f64 (/.f64 (pow.f64 (+.f64 (cosh.f64 a) (exp.f64 b)) #s(literal 3 binary64)) (fma.f64 (sinh.f64 a) (-.f64 (sinh.f64 a) (+.f64 (cosh.f64 a) (exp.f64 b))) (pow.f64 (+.f64 (cosh.f64 a) (exp.f64 b)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sinh.f64 a) #s(literal 3 binary64)) (fma.f64 (sinh.f64 a) (-.f64 (sinh.f64 a) (+.f64 (cosh.f64 a) (exp.f64 b))) (pow.f64 (+.f64 (cosh.f64 a) (exp.f64 b)) #s(literal 2 binary64)))))
(+.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 (+.f64 (sinh.f64 a) (exp.f64 b)) (cosh.f64 a))
(+.f64 (cosh.f64 b) (+.f64 (sinh.f64 b) (exp.f64 a)))
(+.f64 (sinh.f64 a) (+.f64 (cosh.f64 a) (exp.f64 b)))
(+.f64 (+.f64 (cosh.f64 a) (exp.f64 b)) (sinh.f64 a))
(+.f64 (cosh.f64 a) (+.f64 (sinh.f64 a) (exp.f64 b)))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 a) (exp.f64 b))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) #s(literal 2 binary64))
(cosh.f64 (neg.f64 a))
(cosh.f64 a)
(+.f64 (/.f64 (exp.f64 a) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 a)) #s(literal 2 binary64)))
(*.f64 (/.f64 b (expm1.f64 (+.f64 a a))) (+.f64 #s(literal -1 binary64) (exp.f64 a)))
(*.f64 (/.f64 b (-.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
(/.f64 (neg.f64 b) (neg.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))
(neg.f64 (/.f64 (neg.f64 b) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(neg.f64 (/.f64 b (neg.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)))))

eval44.0ms (0.6%)

Memory
-21.2MiB live, 124.7MiB allocated; 19ms collecting garbage
Compiler

Compiled 8 946 to 1 315 computations (85.3% saved)

prune14.0ms (0.2%)

Memory
-6.5MiB live, 40.3MiB allocated; 2ms collecting garbage
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New31511326
Fresh101
Picked415
Done000
Total32012332
Accuracy
100.0%
Counts
332 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
36.6%
(/.f64 (exp.f64 a) (+.f64 (+.f64 (cosh.f64 a) #s(approx (exp b) #s(literal 1 binary64))) (sinh.f64 a)))
▶64.4%
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))))
✓80.2%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
59.0%
#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)))))
▶53.5%
#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)))))
▶35.9%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
47.4%
#s(approx (/ (exp a) (+ (exp a) (exp 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)))))
35.4%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
35.3%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
▶35.0%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #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))))
34.6%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
▶36.7%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
Compiler

Compiled 565 to 386 computations (31.7% saved)

simplify130.0ms (1.7%)

Memory
35.6MiB live, 268.6MiB allocated; 22ms collecting garbage
Localize:

Found 18 expressions of interest:

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

Useful iterations: 1 (0.0ms)

IterNodesCost
041261
059260
198258
2265258
31140258
08879258
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))
#s(literal 1 binary64)
(+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))
(exp.f64 (neg.f64 a))
(neg.f64 a)
a
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
#s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)))
#s(literal 1 binary64)
#s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))
(+.f64 #s(literal 2 binary64) b)
#s(literal 2 binary64)
b
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))
#s(literal 1 binary64)
#s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
#s(literal 1/2 binary64)
b
#s(literal 2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #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 (- (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)))
(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))
(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))
(fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64))
#s(literal -1/480 binary64)
(*.f64 b b)
b
#s(literal 1/48 binary64)
#s(literal -1/4 binary64)
#s(literal 1/2 binary64)
Outputs
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64)))
#s(literal 1 binary64)
(+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))
(-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64))
(exp.f64 (neg.f64 a))
(neg.f64 a)
a
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
#s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (-.f64 b #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)))
(/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (-.f64 b #s(literal -2 binary64))))
#s(literal 1 binary64)
#s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))
#s(approx (- (exp b) -1) (-.f64 b #s(literal -2 binary64)))
(+.f64 #s(literal 2 binary64) b)
(-.f64 b #s(literal -2 binary64))
#s(literal 2 binary64)
b
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))
#s(literal 1 binary64)
#s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
#s(literal 1/2 binary64)
b
#s(literal 2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ 1 (- (exp b) -1)) (fma.f64 (fma.f64 (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 (- (exp b) -1)) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))
(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))
(fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))
(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))
(fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64))
(fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64))
(fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64))
#s(literal -1/480 binary64)
(*.f64 b b)
b
#s(literal 1/48 binary64)
#s(literal -1/4 binary64)
#s(literal 1/2 binary64)

localize179.0ms (2.4%)

Memory
4.5MiB live, 350.1MiB allocated; 27ms collecting garbage
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.03515625
(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))
accuracy0.2517046530472983
(fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64))
accuracy12.641986379707168
#s(approx (/ (exp a) (+ (exp a) (exp b))) #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))))
accuracy29.194123175850574
#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)))
accuracy0.0
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
accuracy0.015625
(/.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))))
accuracy12.641986379707168
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
accuracy17.585365371839405
#s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
accuracy0.0
(+.f64 #s(literal 2 binary64) b)
accuracy0.015625
(/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)))
accuracy12.641986379707168
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
accuracy29.262551049252593
#s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))
accuracy12.641986379707168
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
accuracy28.925528430249916
#s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64))
accuracy0.0
(exp.f64 (neg.f64 a))
accuracy0.01171875
(+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))
accuracy0.01953125
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))
accuracy22.803540609949284
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))))
Samples
127.0ms256×0valid
Compiler

Compiled 166 to 35 computations (78.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 82.0ms
ival-add: 28.0ms (34.3% of total)
const: 22.0ms (26.9% of total)
ival-mult: 11.0ms (13.5% of total)
ival-div: 9.0ms (11% of total)
ival-exp: 7.0ms (8.6% of total)
ival-neg: 2.0ms (2.4% of total)
ival-sub: 1.0ms (1.2% of total)
exact: 1.0ms (1.2% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series20.0ms (0.3%)

Memory
-16.7MiB live, 30.2MiB allocated; 3ms collecting garbage
Counts
20 → 82
Calls
Call 1
Inputs
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))
(+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))
(exp.f64 (neg.f64 a))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
#s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)))
#s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))
(+.f64 #s(literal 2 binary64) b)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))
#s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #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 (- (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)))
(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))
(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))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
(fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64))
Outputs
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ (/ 1 (exp (neg 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 (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (* a (- (* 1/6 (/ 1 (+ 1 (exp b)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (+ 1 (exp b))) (/ (* (- (* 1/2 (+ 1 (exp b))) 1/2) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ 1 (+ (exp (neg a)) 1)) #s(hole binary64 1/2))
#s(approx (/ 1 (+ (exp (neg a)) 1)) #s(hole binary64 (+ 1/2 (* 1/4 a))))
#s(approx (/ 1 (+ (exp (neg a)) 1)) #s(hole binary64 (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))))
#s(approx (/ 1 (+ (exp (neg a)) 1)) #s(hole binary64 (+ 1/2 (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))))))
#s(approx (+ (exp (neg a)) 1) #s(hole binary64 2))
#s(approx (+ (exp (neg a)) 1) #s(hole binary64 (+ 2 (* -1 a))))
#s(approx (+ (exp (neg a)) 1) #s(hole binary64 (+ 2 (* a (- (* 1/2 a) 1)))))
#s(approx (+ (exp (neg a)) 1) #s(hole binary64 (+ 2 (* a (- (* a (+ 1/2 (* -1/6 a))) 1)))))
#s(approx (exp (neg a)) #s(hole binary64 1))
#s(approx (exp (neg a)) #s(hole binary64 (+ 1 (* -1 a))))
#s(approx (exp (neg a)) #s(hole binary64 (+ 1 (* a (- (* 1/2 a) 1)))))
#s(approx (exp (neg a)) #s(hole binary64 (+ 1 (* a (- (* a (+ 1/2 (* -1/6 a))) 1)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))))
#s(approx (/ 1 (+ (exp (neg a)) 1)) #s(hole binary64 (/ 1 (+ 1 (exp (neg a))))))
#s(approx (+ (exp (neg a)) 1) #s(hole binary64 (+ 1 (exp (neg a)))))
#s(approx (exp (neg a)) #s(hole binary64 (exp (neg a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ (exp a) (exp b)))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))))
#s(approx (/ 1 (+ (exp (neg a)) 1)) #s(hole binary64 (/ 1 (+ 1 (exp (* -1 a))))))
#s(approx (+ (exp (neg a)) 1) #s(hole binary64 (+ 1 (exp (* -1 a)))))
#s(approx (exp (neg a)) #s(hole binary64 (exp (* -1 a))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (* (exp (neg a)) (+ 1 (exp a))))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (/ b (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* b (- (+ (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (+ (* 1/6 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 4)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3)))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))))
#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 (+ 2 b) #s(hole binary64 2))
#s(approx (+ 2 b) #s(hole binary64 (+ 2 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 (+ (* (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) b) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) b) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (+ (* (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) b) 1/2) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (+ (* (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) b) 1/2) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))))
#s(approx (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) #s(hole binary64 -1/4))
#s(approx (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) #s(hole binary64 (- (* 1/48 (pow b 2)) 1/4)))
#s(approx (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) #s(hole binary64 (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
#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 (+ (* -1/480 (* b b)) 1/48) #s(hole binary64 1/48))
#s(approx (+ (* -1/480 (* b b)) 1/48) #s(hole binary64 (+ 1/48 (* -1/480 (pow b 2)))))
#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 (+ (* (+ (* 1/2 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 (+ (* (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) b) 1/2) #s(hole binary64 (* -1/480 (pow b 5))))
#s(approx (+ (* (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) b) 1/2) #s(hole binary64 (* (pow b 5) (- (* 1/48 (/ 1 (pow b 2))) 1/480))))
#s(approx (+ (* (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) b) 1/2) #s(hole binary64 (* (pow b 5) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))))
#s(approx (+ (* (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) b) 1/2) #s(hole binary64 (* (pow b 5) (- (+ (* 1/48 (/ 1 (pow b 2))) (* 1/2 (/ 1 (pow b 5)))) (+ 1/480 (/ 1/4 (pow b 4)))))))
#s(approx (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) #s(hole binary64 (* -1/480 (pow b 4))))
#s(approx (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) #s(hole binary64 (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))))
#s(approx (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) #s(hole binary64 (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))))
#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 (+ (* -1/480 (* b b)) 1/48) #s(hole binary64 (* -1/480 (pow b 2))))
#s(approx (+ (* -1/480 (* b b)) 1/48) #s(hole binary64 (* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))))
#s(approx (+ (* (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) b) 1/2) #s(hole binary64 (* -1 (* (pow b 5) (- 1/480 (* 1/48 (/ 1 (pow b 2))))))))
#s(approx (+ (* (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) b) 1/2) #s(hole binary64 (* -1 (* (pow b 5) (- (+ 1/480 (/ 1/4 (pow b 4))) (* 1/48 (/ 1 (pow b 2))))))))
#s(approx (+ (* (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) b) 1/2) #s(hole binary64 (* -1 (* (pow b 5) (- (+ 1/480 (/ 1/4 (pow b 4))) (+ (* 1/48 (/ 1 (pow b 2))) (* 1/2 (/ 1 (pow b 5)))))))))
Calls

6 calls:

TimeVariablePointExpression
3.0ms
b
@inf
((/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/ 1 (+ (exp (neg a)) 1)) (+ (exp (neg a)) 1) (exp (neg a)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ 2 b) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ (* (+ (* 1/2 b) 1) b) 2) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (+ (* (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) b) 1/2) (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) (+ (* 1/2 b) 1) (+ (* -1/480 (* b b)) 1/48))
3.0ms
b
@-inf
((/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/ 1 (+ (exp (neg a)) 1)) (+ (exp (neg a)) 1) (exp (neg a)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ 2 b) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ (* (+ (* 1/2 b) 1) b) 2) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (+ (* (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) b) 1/2) (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) (+ (* 1/2 b) 1) (+ (* -1/480 (* b b)) 1/48))
2.0ms
a
@inf
((/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/ 1 (+ (exp (neg a)) 1)) (+ (exp (neg a)) 1) (exp (neg a)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ 2 b) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ (* (+ (* 1/2 b) 1) b) 2) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (+ (* (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) b) 1/2) (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) (+ (* 1/2 b) 1) (+ (* -1/480 (* b b)) 1/48))
1.0ms
a
@-inf
((/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/ 1 (+ (exp (neg a)) 1)) (+ (exp (neg a)) 1) (exp (neg a)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ 2 b) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ (* (+ (* 1/2 b) 1) b) 2) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (+ (* (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) b) 1/2) (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) (+ (* 1/2 b) 1) (+ (* -1/480 (* b b)) 1/48))
1.0ms
b
@0
((/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/ 1 (+ (exp (neg a)) 1)) (+ (exp (neg a)) 1) (exp (neg a)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ 2 b) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ (* (+ (* 1/2 b) 1) b) 2) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (+ (* (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) b) 1/2) (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) (+ (* 1/2 b) 1) (+ (* -1/480 (* b b)) 1/48))

simplify142.0ms (1.9%)

Memory
-1.2MiB live, 186.1MiB allocated; 20ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03522115
18532004
230391960
081151832
Stop Event
1×iter limit
1×node limit
Counts
82 → 82
Calls
Call 1
Inputs
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ (/ 1 (exp (neg 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 (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (* a (- (* 1/6 (/ 1 (+ 1 (exp b)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (+ 1 (exp b))) (/ (* (- (* 1/2 (+ 1 (exp b))) 1/2) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ 1 (+ (exp (neg a)) 1)) #s(hole binary64 1/2))
#s(approx (/ 1 (+ (exp (neg a)) 1)) #s(hole binary64 (+ 1/2 (* 1/4 a))))
#s(approx (/ 1 (+ (exp (neg a)) 1)) #s(hole binary64 (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))))
#s(approx (/ 1 (+ (exp (neg a)) 1)) #s(hole binary64 (+ 1/2 (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))))))
#s(approx (+ (exp (neg a)) 1) #s(hole binary64 2))
#s(approx (+ (exp (neg a)) 1) #s(hole binary64 (+ 2 (* -1 a))))
#s(approx (+ (exp (neg a)) 1) #s(hole binary64 (+ 2 (* a (- (* 1/2 a) 1)))))
#s(approx (+ (exp (neg a)) 1) #s(hole binary64 (+ 2 (* a (- (* a (+ 1/2 (* -1/6 a))) 1)))))
#s(approx (exp (neg a)) #s(hole binary64 1))
#s(approx (exp (neg a)) #s(hole binary64 (+ 1 (* -1 a))))
#s(approx (exp (neg a)) #s(hole binary64 (+ 1 (* a (- (* 1/2 a) 1)))))
#s(approx (exp (neg a)) #s(hole binary64 (+ 1 (* a (- (* a (+ 1/2 (* -1/6 a))) 1)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))))
#s(approx (/ 1 (+ (exp (neg a)) 1)) #s(hole binary64 (/ 1 (+ 1 (exp (neg a))))))
#s(approx (+ (exp (neg a)) 1) #s(hole binary64 (+ 1 (exp (neg a)))))
#s(approx (exp (neg a)) #s(hole binary64 (exp (neg a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ (exp a) (exp b)))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))))
#s(approx (/ 1 (+ (exp (neg a)) 1)) #s(hole binary64 (/ 1 (+ 1 (exp (* -1 a))))))
#s(approx (+ (exp (neg a)) 1) #s(hole binary64 (+ 1 (exp (* -1 a)))))
#s(approx (exp (neg a)) #s(hole binary64 (exp (* -1 a))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (* (exp (neg a)) (+ 1 (exp a))))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (/ b (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* b (- (+ (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (+ (* 1/6 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 4)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3)))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))))
#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 (+ 2 b) #s(hole binary64 2))
#s(approx (+ 2 b) #s(hole binary64 (+ 2 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 (+ (* (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) b) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) b) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (+ (* (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) b) 1/2) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (+ (* (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) b) 1/2) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))))
#s(approx (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) #s(hole binary64 -1/4))
#s(approx (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) #s(hole binary64 (- (* 1/48 (pow b 2)) 1/4)))
#s(approx (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) #s(hole binary64 (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
#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 (+ (* -1/480 (* b b)) 1/48) #s(hole binary64 1/48))
#s(approx (+ (* -1/480 (* b b)) 1/48) #s(hole binary64 (+ 1/48 (* -1/480 (pow b 2)))))
#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 (+ (* (+ (* 1/2 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 (+ (* (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) b) 1/2) #s(hole binary64 (* -1/480 (pow b 5))))
#s(approx (+ (* (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) b) 1/2) #s(hole binary64 (* (pow b 5) (- (* 1/48 (/ 1 (pow b 2))) 1/480))))
#s(approx (+ (* (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) b) 1/2) #s(hole binary64 (* (pow b 5) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))))
#s(approx (+ (* (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) b) 1/2) #s(hole binary64 (* (pow b 5) (- (+ (* 1/48 (/ 1 (pow b 2))) (* 1/2 (/ 1 (pow b 5)))) (+ 1/480 (/ 1/4 (pow b 4)))))))
#s(approx (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) #s(hole binary64 (* -1/480 (pow b 4))))
#s(approx (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) #s(hole binary64 (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))))
#s(approx (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) #s(hole binary64 (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))))
#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 (+ (* -1/480 (* b b)) 1/48) #s(hole binary64 (* -1/480 (pow b 2))))
#s(approx (+ (* -1/480 (* b b)) 1/48) #s(hole binary64 (* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))))
#s(approx (+ (* (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) b) 1/2) #s(hole binary64 (* -1 (* (pow b 5) (- 1/480 (* 1/48 (/ 1 (pow b 2))))))))
#s(approx (+ (* (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) b) 1/2) #s(hole binary64 (* -1 (* (pow b 5) (- (+ 1/480 (/ 1/4 (pow b 4))) (* 1/48 (/ 1 (pow b 2))))))))
#s(approx (+ (* (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) b) 1/2) #s(hole binary64 (* -1 (* (pow b 5) (- (+ 1/480 (/ 1/4 (pow b 4))) (+ (* 1/48 (/ 1 (pow b 2))) (* 1/2 (/ 1 (pow b 5)))))))))
Outputs
#s(approx (/ (/ 1 (exp (neg 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 (/ (/ 1 (exp (neg 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 (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
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#s(approx (/ 1 (+ (exp (neg a)) 1)) #s(hole binary64 1/2))
#s(approx (/ 1 (+ (exp (neg a)) 1)) #s(literal 1/2 binary64))
#s(approx (/ 1 (+ (exp (neg a)) 1)) #s(hole binary64 (+ 1/2 (* 1/4 a))))
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#s(approx (/ 1 (+ (exp (neg a)) 1)) #s(hole binary64 (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))))
#s(approx (/ 1 (+ (exp (neg a)) 1)) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))
#s(approx (/ 1 (+ (exp (neg a)) 1)) #s(hole binary64 (+ 1/2 (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))))))
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#s(approx (+ (exp (neg a)) 1) #s(hole binary64 2))
#s(approx (+ (exp (neg a)) 1) #s(literal 2 binary64))
#s(approx (+ (exp (neg a)) 1) #s(hole binary64 (+ 2 (* -1 a))))
#s(approx (+ (exp (neg a)) 1) (-.f64 #s(literal 2 binary64) a))
#s(approx (+ (exp (neg a)) 1) #s(hole binary64 (+ 2 (* a (- (* 1/2 a) 1)))))
#s(approx (+ (exp (neg a)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 2 binary64)))
#s(approx (+ (exp (neg a)) 1) #s(hole binary64 (+ 2 (* a (- (* a (+ 1/2 (* -1/6 a))) 1)))))
#s(approx (+ (exp (neg a)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal -1 binary64)) a #s(literal 2 binary64)))
#s(approx (exp (neg a)) #s(hole binary64 1))
#s(approx (exp (neg a)) #s(literal 1 binary64))
#s(approx (exp (neg a)) #s(hole binary64 (+ 1 (* -1 a))))
#s(approx (exp (neg a)) (-.f64 #s(literal 1 binary64) a))
#s(approx (exp (neg a)) #s(hole binary64 (+ 1 (* a (- (* 1/2 a) 1)))))
#s(approx (exp (neg a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 1 binary64)))
#s(approx (exp (neg a)) #s(hole binary64 (+ 1 (* a (- (* a (+ 1/2 (* -1/6 a))) 1)))))
#s(approx (exp (neg 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 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))))))
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#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))))))
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#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))))))
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#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))))
#s(approx (/ 1 (+ (exp (neg a)) 1)) #s(hole binary64 (/ 1 (+ 1 (exp (neg a))))))
#s(approx (/ 1 (+ (exp (neg a)) 1)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
#s(approx (+ (exp (neg a)) 1) #s(hole binary64 (+ 1 (exp (neg a)))))
#s(approx (+ (exp (neg a)) 1) (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64)))
#s(approx (exp (neg a)) #s(hole binary64 (exp (neg a))))
#s(approx (exp (neg a)) (exp.f64 (neg.f64 a)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ (exp a) (exp b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))))
#s(approx (/ 1 (+ (exp (neg a)) 1)) #s(hole binary64 (/ 1 (+ 1 (exp (* -1 a))))))
#s(approx (/ 1 (+ (exp (neg a)) 1)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
#s(approx (+ (exp (neg a)) 1) #s(hole binary64 (+ 1 (exp (* -1 a)))))
#s(approx (+ (exp (neg a)) 1) (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64)))
#s(approx (exp (neg a)) #s(hole binary64 (exp (* -1 a))))
#s(approx (exp (neg a)) (exp.f64 (neg.f64 a)))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (* (exp (neg 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 (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (/ b (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (+.f64 (/.f64 (*.f64 (neg.f64 b) (exp.f64 a)) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (exp.f64 a)) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))))
#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 (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* b (- (+ (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (+ (* 1/6 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 4)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3)))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (/.f64 (+.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (*.f64 #s(literal -1/6 binary64) (exp.f64 a))) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 4 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 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 (+.f64 (/.f64 (*.f64 (neg.f64 b) (exp.f64 a)) (+.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 (-.f64 (*.f64 (neg.f64 b) (fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (neg.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal -1/2 binary64)))))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))))) b) (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)))) b (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
#s(approx (/ 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 (-.f64 (*.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 (*.f64 #s(literal 1/48 binary64) b) b (-.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal -1/480 binary64)) #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 (+ (* (+ (* 1/2 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 b #s(literal -2 binary64)))
#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 (+ (* (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) b) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) b) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) b) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (+ (* (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) b) 1/2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) b) 1/2) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (+ (* (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) b) 1/2) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) b) 1/2) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))))
#s(approx (+ (* (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) b) 1/2) (fma.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) b) b (-.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal -1/480 binary64)) #s(literal 1/4 binary64))) b #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) #s(hole binary64 -1/4))
#s(approx (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) #s(literal -1/4 binary64))
#s(approx (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) #s(hole binary64 (- (* 1/48 (pow b 2)) 1/4)))
#s(approx (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)))
#s(approx (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) #s(hole binary64 (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
#s(approx (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) (fma.f64 (*.f64 #s(literal 1/48 binary64) b) b (-.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal -1/480 binary64)) #s(literal 1/4 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))))
#s(approx (+ (* 1/2 b) 1) (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)))
#s(approx (+ (* -1/480 (* b b)) 1/48) #s(hole binary64 1/48))
#s(approx (+ (* -1/480 (* b b)) 1/48) #s(literal 1/48 binary64))
#s(approx (+ (* -1/480 (* b b)) 1/48) #s(hole binary64 (+ 1/48 (* -1/480 (pow b 2)))))
#s(approx (+ (* -1/480 (* b b)) 1/48) (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)))
#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 (exp.f64 b) #s(literal -1 binary64))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 1 (exp b))))
#s(approx (- (exp b) -1) (-.f64 (exp.f64 b) #s(literal -1 binary64)))
#s(approx (+ 2 b) #s(hole binary64 b))
#s(approx (+ 2 b) b)
#s(approx (+ 2 b) #s(hole binary64 (* b (+ 1 (* 2 (/ 1 b))))))
#s(approx (+ 2 b) (-.f64 b #s(literal -2 binary64)))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) #s(hole binary64 (* 1/2 (pow b 2))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) b) b))
#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) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) 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) (*.f64 (*.f64 (-.f64 (/.f64 (/.f64 (-.f64 b #s(literal -2 binary64)) b) b) #s(literal -1/2 binary64)) b) b))
#s(approx (+ (* (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) b) 1/2) #s(hole binary64 (* -1/480 (pow b 5))))
#s(approx (+ (* (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 5 binary64)) #s(literal -1/480 binary64)))
#s(approx (+ (* (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) b) 1/2) #s(hole binary64 (* (pow b 5) (- (* 1/48 (/ 1 (pow b 2))) 1/480))))
#s(approx (+ (* (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) b) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/48 binary64) (*.f64 b b)) #s(literal 1/480 binary64)) (pow.f64 b #s(literal 5 binary64))))
#s(approx (+ (* (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) b) 1/2) #s(hole binary64 (* (pow b 5) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))))
#s(approx (+ (* (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) b) 1/2) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/48 binary64) (*.f64 b b)) #s(literal 1/480 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 b #s(literal 4 binary64)))) (pow.f64 b #s(literal 5 binary64))))
#s(approx (+ (* (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) b) 1/2) #s(hole binary64 (* (pow b 5) (- (+ (* 1/48 (/ 1 (pow b 2))) (* 1/2 (/ 1 (pow b 5)))) (+ 1/480 (/ 1/4 (pow b 4)))))))
#s(approx (+ (* (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) b) 1/2) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 5 binary64))) (/.f64 #s(literal -1/48 binary64) (*.f64 b b))) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 b #s(literal 4 binary64))) #s(literal 1/480 binary64))) (pow.f64 b #s(literal 5 binary64))))
#s(approx (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) #s(hole binary64 (* -1/480 (pow b 4))))
#s(approx (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) (*.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal -1/480 binary64)))
#s(approx (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) #s(hole binary64 (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))))
#s(approx (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) (*.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/48 binary64) (*.f64 b b)) #s(literal 1/480 binary64))))
#s(approx (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) #s(hole binary64 (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))))
#s(approx (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/48 binary64) (*.f64 b b)) #s(literal 1/480 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 b #s(literal 4 binary64)))) (pow.f64 b #s(literal 4 binary64))))
#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 (+ (* -1/480 (* b b)) 1/48) #s(hole binary64 (* -1/480 (pow b 2))))
#s(approx (+ (* -1/480 (* b b)) 1/48) (*.f64 #s(literal -1/480 binary64) (*.f64 b b)))
#s(approx (+ (* -1/480 (* b b)) 1/48) #s(hole binary64 (* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))))
#s(approx (+ (* -1/480 (* b b)) 1/48) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/48 binary64) (*.f64 b b)) #s(literal 1/480 binary64)) b) b))
#s(approx (+ (* (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) b) 1/2) #s(hole binary64 (* -1 (* (pow b 5) (- 1/480 (* 1/48 (/ 1 (pow b 2))))))))
#s(approx (+ (* (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) b) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/48 binary64) (*.f64 b b)) #s(literal -1/480 binary64)) (pow.f64 b #s(literal 5 binary64))))
#s(approx (+ (* (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) b) 1/2) #s(hole binary64 (* -1 (* (pow b 5) (- (+ 1/480 (/ 1/4 (pow b 4))) (* 1/48 (/ 1 (pow b 2))))))))
#s(approx (+ (* (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) b) 1/2) (*.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 b #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/48 binary64) (*.f64 b b)) #s(literal -1/480 binary64))) (pow.f64 b #s(literal 5 binary64))))
#s(approx (+ (* (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) b) 1/2) #s(hole binary64 (* -1 (* (pow b 5) (- (+ 1/480 (/ 1/4 (pow b 4))) (+ (* 1/48 (/ 1 (pow b 2))) (* 1/2 (/ 1 (pow b 5)))))))))
#s(approx (+ (* (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) b) 1/2) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 b #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/48 binary64) (*.f64 b b)) #s(literal -1/480 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 5 binary64)))) (pow.f64 b #s(literal 5 binary64))))

rewrite126.0ms (1.7%)

Memory
-27.1MiB live, 77.8MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
041241
059240
1231238
01717238
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
20 → 183
Calls
Call 1
Inputs
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))
(+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))
(exp.f64 (neg.f64 a))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
#s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)))
#s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))
(+.f64 #s(literal 2 binary64) b)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))
#s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #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 (- (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)))
(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))
(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))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
(fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (neg.f64 a) #s(literal 2 binary64)))) (expm1.f64 (neg.f64 a)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (exp.f64 (neg.f64 a)) #s(literal 3 binary64)) #s(literal -1 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (pow.f64 (exp.f64 (neg.f64 a)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(pow.f64 (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64))))
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 (neg.f64 a))) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (neg.f64 a)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (neg.f64 a) #s(literal 2 binary64)))) (neg.f64 (expm1.f64 (neg.f64 a))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 a)) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (pow.f64 (exp.f64 (neg.f64 a)) #s(literal 2 binary64)))))
(/.f64 (expm1.f64 (*.f64 (neg.f64 a) #s(literal 2 binary64))) (expm1.f64 (neg.f64 a)))
(/.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 a)) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (exp.f64 (neg.f64 a)) #s(literal 2 binary64)) (exp.f64 (neg.f64 a)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 a)) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (pow.f64 (exp.f64 (neg.f64 a)) #s(literal 2 binary64))))
(fma.f64 (*.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 a)) #s(literal 1 binary64))
(fma.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 a)) (sinh.f64 a))
(-.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 a)) #s(literal 2 binary64)) (expm1.f64 (neg.f64 a))) (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 a))))
(-.f64 (cosh.f64 a) (-.f64 (sinh.f64 a) #s(literal 1 binary64)))
(-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64))
(+.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 a)) (sinh.f64 (neg.f64 a)))
(+.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 a)) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (pow.f64 (exp.f64 (neg.f64 a)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (pow.f64 (exp.f64 (neg.f64 a)) #s(literal 2 binary64)))))
(+.f64 (cosh.f64 a) (+.f64 (sinh.f64 (neg.f64 a)) #s(literal 1 binary64)))
(+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
(*.f64 (*.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 a)))
(*.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
(pow.f64 (exp.f64 a) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 a) (cosh.f64 a)) (*.f64 (sinh.f64 a) (sinh.f64 a))) (exp.f64 a))
(/.f64 (-.f64 (*.f64 (cosh.f64 a) (cosh.f64 a)) (*.f64 (sinh.f64 (neg.f64 a)) (sinh.f64 (neg.f64 a)))) (exp.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) (fma.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 (neg.f64 a)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 a) (cosh.f64 a) (-.f64 (*.f64 (sinh.f64 (neg.f64 a)) (sinh.f64 (neg.f64 a))) (*.f64 (cosh.f64 a) (sinh.f64 (neg.f64 a))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 a)))
(/.f64 #s(literal 1 binary64) (exp.f64 a))
(-.f64 (cosh.f64 a) (sinh.f64 a))
(exp.f64 (-.f64 #s(literal 0 binary64) a))
(exp.f64 (+.f64 (neg.f64 a) #s(literal 0 binary64)))
(exp.f64 (neg.f64 a))
(+.f64 (cosh.f64 a) (sinh.f64 (neg.f64 a)))
(+.f64 (sinh.f64 (neg.f64 a)) (cosh.f64 a))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
#s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (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) (/.f64 #s(literal -1 binary64) #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)))
(pow.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
(/.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)))
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(-.f64 #s(literal -1/4 binary64) (*.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) b)) b))
(-.f64 #s(literal -1/4 binary64) (*.f64 (neg.f64 (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64))) (*.f64 b b)))
(-.f64 #s(literal -1/4 binary64) (*.f64 (neg.f64 (*.f64 b b)) (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64))))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) b) b) #s(literal 3 binary64)) (fma.f64 #s(literal -1/4 binary64) (-.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) b) b)) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) b) b) #s(literal 2 binary64)))) (/.f64 #s(literal -1/64 binary64) (fma.f64 #s(literal -1/4 binary64) (-.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) b) b)) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) b) b) #s(literal 2 binary64)))))
(+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) b) b) #s(literal -1/4 binary64))
(+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) b) b))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 b b))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) b #s(literal -1 binary64)))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) (*.f64 #s(literal 1/2 binary64) b))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))
(fma.f64 (*.f64 (*.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 1/2 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))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) (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 (*.f64 #s(literal 1/8 binary64) (pow.f64 b #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))
(+.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 (-.f64 #s(literal 1/2304 binary64) (pow.f64 (*.f64 (*.f64 b b) #s(literal -1/480 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) #s(literal -1/480 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 b b) #s(literal -1/480 binary64)) #s(literal 2 binary64)) #s(literal 1/2304 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal -1/480 binary64)) #s(literal 1/48 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 b b) #s(literal 3 binary64)) #s(literal -1/110592000 binary64) #s(literal 1/110592 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (*.f64 b b) #s(literal -1/480 binary64)) #s(literal 2 binary64)) #s(literal 1/2304 binary64)) (*.f64 (*.f64 b b) #s(literal -1/23040 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 b b) #s(literal -1/480 binary64)) #s(literal 2 binary64)) #s(literal 1/2304 binary64)) (-.f64 (*.f64 (*.f64 b b) #s(literal -1/480 binary64)) #s(literal 1/48 binary64)))
(/.f64 (fma.f64 (pow.f64 (*.f64 b b) #s(literal 3 binary64)) #s(literal -1/110592000 binary64) #s(literal 1/110592 binary64)) (+.f64 #s(literal 1/2304 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 b b) #s(literal -1/480 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 b b) #s(literal -1/23040 binary64)))))
(/.f64 (fma.f64 (pow.f64 (*.f64 b b) #s(literal 3 binary64)) #s(literal -1/110592000 binary64) #s(literal 1/110592 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (*.f64 b b) #s(literal -1/480 binary64)) #s(literal 2 binary64)) #s(literal 1/2304 binary64)) (*.f64 (*.f64 b b) #s(literal -1/23040 binary64))))
(fma.f64 (*.f64 #s(literal -1/480 binary64) (neg.f64 b)) (neg.f64 b) #s(literal 1/48 binary64))
(fma.f64 (*.f64 #s(literal -1/480 binary64) (fabs.f64 b)) (fabs.f64 b) #s(literal 1/48 binary64))
(fma.f64 (*.f64 #s(literal -1/480 binary64) b) b #s(literal 1/48 binary64))
(fma.f64 (neg.f64 b) (*.f64 (neg.f64 b) #s(literal -1/480 binary64)) #s(literal 1/48 binary64))
(fma.f64 (fabs.f64 b) (*.f64 (fabs.f64 b) #s(literal -1/480 binary64)) #s(literal 1/48 binary64))
(fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64))
(fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64))
(fma.f64 b (*.f64 #s(literal -1/480 binary64) b) #s(literal 1/48 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 b b) #s(literal -1/480 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 b b) #s(literal -1/480 binary64)) #s(literal 1/48 binary64))) (/.f64 #s(literal 1/2304 binary64) (-.f64 (*.f64 (*.f64 b b) #s(literal -1/480 binary64)) #s(literal 1/48 binary64))))
(-.f64 #s(literal 1/48 binary64) (*.f64 (neg.f64 (*.f64 #s(literal -1/480 binary64) b)) b))
(-.f64 #s(literal 1/48 binary64) (*.f64 (neg.f64 (*.f64 b b)) #s(literal -1/480 binary64)))
(-.f64 #s(literal 1/48 binary64) (*.f64 #s(literal 1/480 binary64) (*.f64 b b)))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 b b) #s(literal -1/480 binary64)) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (*.f64 b b) #s(literal -1/480 binary64)) #s(literal 2 binary64)) #s(literal 1/2304 binary64)) (*.f64 (*.f64 b b) #s(literal -1/23040 binary64)))) (/.f64 #s(literal 1/110592 binary64) (-.f64 (+.f64 (pow.f64 (*.f64 (*.f64 b b) #s(literal -1/480 binary64)) #s(literal 2 binary64)) #s(literal 1/2304 binary64)) (*.f64 (*.f64 b b) #s(literal -1/23040 binary64)))))
(+.f64 (*.f64 (*.f64 b b) #s(literal -1/480 binary64)) #s(literal 1/48 binary64))
(+.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) #s(literal -1/480 binary64)))

eval38.0ms (0.5%)

Memory
5.1MiB live, 48.8MiB allocated; 9ms collecting garbage
Compiler

Compiled 8 205 to 1 266 computations (84.6% saved)

prune17.0ms (0.2%)

Memory
32.0MiB live, 32.0MiB allocated; 0ms collecting garbage
Pruning

22 alts after pruning (16 fresh and 6 done)

PrunedKeptTotal
New23912251
Fresh246
Picked055
Done011
Total24122263
Accuracy
100.0%
Counts
263 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶63.6%
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 a)) (sinh.f64 a))))
✓64.4%
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))))
55.0%
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg a)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal -1 binary64)) a #s(literal 2 binary64)))))
▶49.5%
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg a)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 2 binary64)))))
37.5%
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg a)) 1) (-.f64 #s(literal 2 binary64) a))))
36.7%
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp (neg a)) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (*.f64 a a) #s(literal -1/48 binary64)) (*.f64 a a) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))))
36.6%
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp (neg a)) 1)) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))))
36.7%
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp (neg a)) 1)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
✓80.2%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
59.0%
#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)))))
✓53.5%
#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)))))
✓35.9%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
21.3%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)))))
▶47.1%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 (-.f64 (/.f64 (/.f64 (-.f64 b #s(literal -2 binary64)) b) b) #s(literal -1/2 binary64)) b) b)))))
21.6%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) b) b)))))
3.9%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ 2 b) b))))
47.4%
#s(approx (/ (exp a) (+ (exp a) (exp 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)))))
▶35.3%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
✓35.0%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #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))))
▶34.6%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
16.7%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 5 binary64)) #s(literal -1/480 binary64)))))
✓36.7%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
Compiler

Compiled 1 045 to 741 computations (29.1% saved)

simplify176.0ms (2.3%)

Memory
11.9MiB live, 150.2MiB allocated; 29ms collecting garbage
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 (-.f64 (/.f64 (/.f64 (-.f64 b #s(literal -2 binary64)) b) b) #s(literal -1/2 binary64)) b) b))
cost-diff0
#s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 (-.f64 (/.f64 (/.f64 (-.f64 b #s(literal -2 binary64)) b) b) #s(literal -1/2 binary64)) b) b)))
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 (-.f64 (/.f64 (/.f64 (-.f64 b #s(literal -2 binary64)) b) b) #s(literal -1/2 binary64)) b) b))))
cost-diff0
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 (-.f64 (/.f64 (/.f64 (-.f64 b #s(literal -2 binary64)) b) b) #s(literal -1/2 binary64)) b) b)))))
cost-diff0
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 2 binary64))
cost-diff0
#s(approx (+ (exp (neg a)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 2 binary64)))
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg a)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 2 binary64))))
cost-diff0
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg a)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 2 binary64)))))
cost-diff0
(fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64))
cost-diff0
(fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))
cost-diff0
#s(approx (/ 1 (- (exp b) -1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))
cost-diff0
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
cost-diff0
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
cost-diff0
#s(approx (/ (+ (* (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)))
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) b #s(literal 1/2 binary64))))
cost-diff0
(+.f64 #s(literal 1 binary64) (cosh.f64 a))
cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 a)) (sinh.f64 a)))
cost-diff0
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 a)) (sinh.f64 a))))
cost-diff2
(-.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 a)) (sinh.f64 a))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060415
084407
1144401
2378399
31502399
08577391
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 a)) (sinh.f64 a))))
(/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 a)) (sinh.f64 a)))
#s(literal 1 binary64)
(-.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 a)) (sinh.f64 a))
(+.f64 #s(literal 1 binary64) (cosh.f64 a))
(cosh.f64 a)
a
(sinh.f64 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 (/ (+ (* (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)))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
#s(literal -1/4 binary64)
b
#s(literal 1/2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ 1 (- (exp b) -1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))
(fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64))
(*.f64 b b)
b
#s(literal 1/48 binary64)
#s(literal -1/4 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg a)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg a)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 2 binary64))))
#s(literal 1 binary64)
#s(approx (+ (exp (neg a)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 2 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64))
#s(literal 1/2 binary64)
a
#s(literal -1 binary64)
#s(literal 2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 (-.f64 (/.f64 (/.f64 (-.f64 b #s(literal -2 binary64)) b) b) #s(literal -1/2 binary64)) b) b)))))
(/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 (-.f64 (/.f64 (/.f64 (-.f64 b #s(literal -2 binary64)) b) b) #s(literal -1/2 binary64)) b) b))))
#s(literal 1 binary64)
#s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 (-.f64 (/.f64 (/.f64 (-.f64 b #s(literal -2 binary64)) b) b) #s(literal -1/2 binary64)) b) b)))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 (-.f64 (/.f64 (/.f64 (-.f64 b #s(literal -2 binary64)) b) b) #s(literal -1/2 binary64)) b) b))
(*.f64 (*.f64 (-.f64 (/.f64 (/.f64 (-.f64 b #s(literal -2 binary64)) b) b) #s(literal -1/2 binary64)) b) b)
(*.f64 (-.f64 (/.f64 (/.f64 (-.f64 b #s(literal -2 binary64)) b) b) #s(literal -1/2 binary64)) b)
(-.f64 (/.f64 (/.f64 (-.f64 b #s(literal -2 binary64)) b) b) #s(literal -1/2 binary64))
(/.f64 (/.f64 (-.f64 b #s(literal -2 binary64)) b) b)
(/.f64 (-.f64 b #s(literal -2 binary64)) b)
(-.f64 b #s(literal -2 binary64))
b
#s(literal -2 binary64)
#s(literal -1/2 binary64)
Outputs
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 a)) (sinh.f64 a))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 a)) (sinh.f64 a)))
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64)))
#s(literal 1 binary64)
(-.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 a)) (sinh.f64 a))
(-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) (cosh.f64 a))
(-.f64 (cosh.f64 a) #s(literal -1 binary64))
(cosh.f64 a)
a
(sinh.f64 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 (/ (/ 1 (exp (neg 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 (/ (+ (* (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)))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
#s(literal -1/4 binary64)
b
#s(literal 1/2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ 1 (- (exp b) -1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))
#s(approx (/ 1 (- (exp b) -1)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))
(fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))
(fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64))
(fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64))
(*.f64 b b)
b
#s(literal 1/48 binary64)
#s(literal -1/4 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg a)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg a)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 2 binary64))))
#s(literal 1 binary64)
#s(approx (+ (exp (neg a)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 2 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64))
#s(literal 1/2 binary64)
a
#s(literal -1 binary64)
#s(literal 2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 (-.f64 (/.f64 (/.f64 (-.f64 b #s(literal -2 binary64)) b) b) #s(literal -1/2 binary64)) b) b)))))
#s(approx (/ (/ 1 (exp (neg 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 (-.f64 (/.f64 (/.f64 (-.f64 b #s(literal -2 binary64)) b) b) #s(literal -1/2 binary64)) b) b)))))
(/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 (-.f64 (/.f64 (/.f64 (-.f64 b #s(literal -2 binary64)) b) b) #s(literal -1/2 binary64)) b) b))))
#s(literal 1 binary64)
#s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 (-.f64 (/.f64 (/.f64 (-.f64 b #s(literal -2 binary64)) b) b) #s(literal -1/2 binary64)) b) b)))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 (-.f64 (/.f64 (/.f64 (-.f64 b #s(literal -2 binary64)) b) b) #s(literal -1/2 binary64)) b) b))
(*.f64 (*.f64 (-.f64 (/.f64 (/.f64 (-.f64 b #s(literal -2 binary64)) b) b) #s(literal -1/2 binary64)) b) b)
(*.f64 (-.f64 (/.f64 (/.f64 (-.f64 b #s(literal -2 binary64)) b) b) #s(literal -1/2 binary64)) b)
(-.f64 (/.f64 (/.f64 (-.f64 b #s(literal -2 binary64)) b) b) #s(literal -1/2 binary64))
(/.f64 (/.f64 (-.f64 b #s(literal -2 binary64)) b) b)
(/.f64 (-.f64 b #s(literal -2 binary64)) b)
(-.f64 b #s(literal -2 binary64))
b
#s(literal -2 binary64)
#s(literal -1/2 binary64)

localize267.0ms (3.5%)

Memory
-35.5MiB live, 207.7MiB allocated; 34ms collecting garbage
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.34374449386619266
(*.f64 (*.f64 (-.f64 (/.f64 (/.f64 (-.f64 b #s(literal -2 binary64)) b) b) #s(literal -1/2 binary64)) b) b)
accuracy12.438861379707168
#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 (-.f64 (/.f64 (/.f64 (-.f64 b #s(literal -2 binary64)) b) b) #s(literal -1/2 binary64)) b) b)))))
accuracy15.451626601017043
(*.f64 (-.f64 (/.f64 (/.f64 (-.f64 b #s(literal -2 binary64)) b) b) #s(literal -1/2 binary64)) b)
accuracy17.585365371839405
#s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 (-.f64 (/.f64 (/.f64 (-.f64 b #s(literal -2 binary64)) b) b) #s(literal -1/2 binary64)) b) b)))
accuracy0.0
(fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64))
accuracy0.01953125
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg a)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 2 binary64))))
accuracy9.786699554814628
#s(approx (+ (exp (neg a)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 2 binary64)))
accuracy22.803540609949284
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg a)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 2 binary64)))))
accuracy0.03515625
(fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))
accuracy0.3008263658788519
(fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64))
accuracy12.438861379707168
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
accuracy29.501535342990582
#s(approx (/ 1 (- (exp b) -1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))
accuracy0.0
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
accuracy18.103328737104434
#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)))
accuracy23.641112648341622
#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))))
accuracy0.00390625
(cosh.f64 a)
accuracy0.01953125
(/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 a)) (sinh.f64 a)))
accuracy0.27482868138423205
(-.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 a)) (sinh.f64 a))
accuracy22.803540609949284
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 a)) (sinh.f64 a))))
Samples
181.0ms254×0valid
9.0ms1×5exit
1.0ms1×1valid
Compiler

Compiled 233 to 56 computations (76% saved)

Precisions
Click to see histograms. Total time spent on operations: 138.0ms
ival-div: 59.0ms (42.9% of total)
ival-mult: 35.0ms (25.4% of total)
ival-add: 13.0ms (9.4% of total)
ival-exp: 7.0ms (5.1% of total)
ival-sub: 6.0ms (4.4% of total)
ival-cosh: 6.0ms (4.4% of total)
const: 4.0ms (2.9% of total)
ival-sinh: 3.0ms (2.2% of total)
ival-neg: 2.0ms (1.5% of total)
adjust: 1.0ms (0.7% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series41.0ms (0.5%)

Memory
-3.2MiB live, 42.2MiB allocated; 4ms collecting garbage
Counts
23 → 119
Calls
Call 1
Inputs
(-.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 a)) (sinh.f64 a))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 a)) (sinh.f64 a))))
(/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 a)) (sinh.f64 a)))
(+.f64 #s(literal 1 binary64) (cosh.f64 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 (/ (+ (* (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)))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ 1 (- (exp b) -1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))
(fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg a)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg a)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 2 binary64))))
#s(approx (+ (exp (neg a)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 2 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 2 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 (-.f64 (/.f64 (/.f64 (-.f64 b #s(literal -2 binary64)) b) b) #s(literal -1/2 binary64)) b) b)))))
(/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 (-.f64 (/.f64 (/.f64 (-.f64 b #s(literal -2 binary64)) b) b) #s(literal -1/2 binary64)) b) b))))
#s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 (-.f64 (/.f64 (/.f64 (-.f64 b #s(literal -2 binary64)) b) b) #s(literal -1/2 binary64)) b) b)))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 (-.f64 (/.f64 (/.f64 (-.f64 b #s(literal -2 binary64)) b) b) #s(literal -1/2 binary64)) b) b))
(cosh.f64 a)
(fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64))
(*.f64 (-.f64 (/.f64 (/.f64 (-.f64 b #s(literal -2 binary64)) b) b) #s(literal -1/2 binary64)) b)
(*.f64 (*.f64 (-.f64 (/.f64 (/.f64 (-.f64 b #s(literal -2 binary64)) b) b) #s(literal -1/2 binary64)) b) b)
Outputs
#s(approx (- (+ 1 (cosh a)) (sinh a)) #s(hole binary64 2))
#s(approx (- (+ 1 (cosh a)) (sinh a)) #s(hole binary64 (+ 2 (* -1 a))))
#s(approx (- (+ 1 (cosh a)) (sinh a)) #s(hole binary64 (+ 2 (* a (- (* 1/2 a) 1)))))
#s(approx (- (+ 1 (cosh a)) (sinh a)) #s(hole binary64 (+ 2 (* a (- (* a (+ 1/2 (* -1/6 a))) 1)))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ (/ 1 (exp (neg 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 (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (* a (- (* 1/6 (/ 1 (+ 1 (exp b)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (+ 1 (exp b))) (/ (* (- (* 1/2 (+ 1 (exp b))) 1/2) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ 1 (- (+ 1 (cosh a)) (sinh a))) #s(hole binary64 1/2))
#s(approx (/ 1 (- (+ 1 (cosh a)) (sinh a))) #s(hole binary64 (+ 1/2 (* 1/4 a))))
#s(approx (/ 1 (- (+ 1 (cosh a)) (sinh a))) #s(hole binary64 (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))))
#s(approx (/ 1 (- (+ 1 (cosh a)) (sinh a))) #s(hole binary64 (+ 1/2 (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))))))
#s(approx (+ 1 (cosh a)) #s(hole binary64 2))
#s(approx (+ 1 (cosh a)) #s(hole binary64 (+ 2 (* 1/2 (pow a 2)))))
#s(approx (+ 1 (cosh a)) #s(hole binary64 (+ 2 (* (pow a 2) (+ 1/2 (* 1/24 (pow a 2)))))))
#s(approx (+ 1 (cosh a)) #s(hole binary64 (+ 2 (* (pow a 2) (+ 1/2 (* (pow a 2) (+ 1/24 (* 1/720 (pow a 2)))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (* 1/2 (+ 1 (* -1/2 b)))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* 1/4 (+ 1 (* -1/2 b))))))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* a (- (* 1/2 (+ 1/2 (* -1 (- (* 1/4 b) (+ (* 1/8 b) (* 1/2 (- (* 1/2 b) (* 1/4 b)))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b))))))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* a (- (+ (* 1/2 (+ 1/2 (* -1 (- (* 1/4 b) (+ (* 1/8 b) (* 1/2 (- (* 1/2 b) (* 1/4 b)))))))) (* a (- (* 1/2 (+ 1/6 (* -1 (- (* 1/12 b) (+ (* 1/24 b) (+ (* 1/4 (- (* 1/2 b) (* 1/4 b))) (* 1/2 (- (* 1/4 b) (+ (* 1/8 b) (* 1/2 (- (* 1/2 b) (* 1/4 b)))))))))))) (+ (* 1/24 (+ 1 (* -1/2 b))) (+ (* 1/4 (- (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* 1/4 (+ 1 (* -1/2 b))))) (* 1/2 (- (* 1/2 (+ 1/2 (* -1 (- (* 1/4 b) (+ (* 1/8 b) (* 1/2 (- (* 1/2 b) (* 1/4 b)))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* 1/4 (+ 1 (* -1/2 b))))))))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b))))))))
#s(approx (/ 1 (+ (exp (neg a)) 1)) #s(hole binary64 1/2))
#s(approx (/ 1 (+ (exp (neg a)) 1)) #s(hole binary64 (+ 1/2 (* 1/4 a))))
#s(approx (/ 1 (+ (exp (neg a)) 1)) #s(hole binary64 (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))))
#s(approx (/ 1 (+ (exp (neg a)) 1)) #s(hole binary64 (+ 1/2 (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))))))
#s(approx (+ (exp (neg a)) 1) #s(hole binary64 2))
#s(approx (+ (exp (neg a)) 1) #s(hole binary64 (+ 2 (* -1 a))))
#s(approx (+ (exp (neg a)) 1) #s(hole binary64 (+ 2 (* a (- (* 1/2 a) 1)))))
#s(approx (+ (exp (neg a)) 1) #s(hole binary64 (+ 2 (* a (- (* a (+ 1/2 (* -1/6 a))) 1)))))
#s(approx (+ (* (+ (* 1/2 a) -1) a) 2) #s(hole binary64 2))
#s(approx (+ (* (+ (* 1/2 a) -1) a) 2) #s(hole binary64 (+ 2 (* -1 a))))
#s(approx (+ (* (+ (* 1/2 a) -1) a) 2) #s(hole binary64 (+ 2 (* a (- (* 1/2 a) 1)))))
#s(approx (cosh a) #s(hole binary64 1))
#s(approx (cosh a) #s(hole binary64 (+ 1 (* 1/2 (pow a 2)))))
#s(approx (cosh a) #s(hole binary64 (+ 1 (* (pow a 2) (+ 1/2 (* 1/24 (pow a 2)))))))
#s(approx (cosh a) #s(hole binary64 (+ 1 (* (pow a 2) (+ 1/2 (* (pow a 2) (+ 1/24 (* 1/720 (pow a 2)))))))))
#s(approx (+ (* 1/2 a) -1) #s(hole binary64 -1))
#s(approx (+ (* 1/2 a) -1) #s(hole binary64 (- (* 1/2 a) 1)))
#s(approx (- (+ 1 (cosh a)) (sinh a)) #s(hole binary64 (- (+ 1 (* 1/2 (+ (exp a) (/ 1 (exp a))))) (* 1/2 (- (exp a) (/ 1 (exp a)))))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))))
#s(approx (/ 1 (- (+ 1 (cosh a)) (sinh a))) #s(hole binary64 (/ 1 (- (+ 1 (* 1/2 (+ (exp a) (/ 1 (exp a))))) (* 1/2 (- (exp a) (/ 1 (exp a))))))))
#s(approx (+ 1 (cosh a)) #s(hole binary64 (+ 1 (* 1/2 (+ (exp a) (/ 1 (exp a)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ (exp a) (exp b)))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (/ (+ (exp a) (* -1 (/ (* b (exp a)) (+ 1 (exp a))))) (+ 1 (exp a)))))
#s(approx (/ 1 (+ (exp (neg a)) 1)) #s(hole binary64 (/ 1 (+ 1 (exp (neg a))))))
#s(approx (+ (exp (neg a)) 1) #s(hole binary64 (+ 1 (exp (neg a)))))
#s(approx (+ (* (+ (* 1/2 a) -1) a) 2) #s(hole binary64 (* 1/2 (pow a 2))))
#s(approx (+ (* (+ (* 1/2 a) -1) a) 2) #s(hole binary64 (* (pow a 2) (- 1/2 (/ 1 a)))))
#s(approx (+ (* (+ (* 1/2 a) -1) a) 2) #s(hole binary64 (* (pow a 2) (- (+ 1/2 (/ 2 (pow a 2))) (/ 1 a)))))
#s(approx (cosh a) #s(hole binary64 (* 1/2 (+ (exp a) (/ 1 (exp a))))))
#s(approx (+ (* 1/2 a) -1) #s(hole binary64 (* 1/2 a)))
#s(approx (+ (* 1/2 a) -1) #s(hole binary64 (* a (- 1/2 (/ 1 a)))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))))
#s(approx (/ 1 (+ (exp (neg a)) 1)) #s(hole binary64 (/ 1 (+ 1 (exp (* -1 a))))))
#s(approx (+ (exp (neg a)) 1) #s(hole binary64 (+ 1 (exp (* -1 a)))))
#s(approx (+ (* (+ (* 1/2 a) -1) a) 2) #s(hole binary64 (* (pow a 2) (+ 1/2 (* -1 (/ (- 1 (* 2 (/ 1 a))) a))))))
#s(approx (+ (* 1/2 a) -1) #s(hole binary64 (* -1 (* a (- (/ 1 a) 1/2)))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (* (exp (neg a)) (+ 1 (exp a))))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (/ b (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* b (- (+ (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (+ (* 1/6 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 4)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3)))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))))
#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 (/ (+ (* (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 (/ 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 (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (+ (* (* b b) 1/48) -1/4) #s(hole binary64 -1/4))
#s(approx (+ (* (* b b) 1/48) -1/4) #s(hole binary64 (- (* 1/48 (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 (+ (* (+ (* 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 (* (- (/ (/ (- b -2) b) b) -1/2) b) #s(hole binary64 (/ 2 b)))
#s(approx (* (- (/ (/ (- b -2) b) b) -1/2) b) #s(hole binary64 (/ (+ 2 b) b)))
#s(approx (* (- (/ (/ (- b -2) b) b) -1/2) b) #s(hole binary64 (/ (+ 2 (* b (+ 1 (* 1/2 b)))) b)))
#s(approx (* (* (- (/ (/ (- b -2) b) b) -1/2) b) b) #s(hole binary64 2))
#s(approx (* (* (- (/ (/ (- b -2) b) b) -1/2) b) b) #s(hole binary64 (+ 2 b)))
#s(approx (* (* (- (/ (/ (- b -2) b) b) -1/2) b) b) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 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 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 (/ 1 (- (exp b) -1)) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) #s(hole binary64 (* 1/48 (pow b 3))))
#s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) #s(hole binary64 (* (pow b 3) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))))
#s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) #s(hole binary64 (* (pow b 3) (- (+ 1/48 (/ 1/2 (pow b 3))) (* 1/4 (/ 1 (pow b 2)))))))
#s(approx (+ (* (* b b) 1/48) -1/4) #s(hole binary64 (* 1/48 (pow b 2))))
#s(approx (+ (* (* b b) 1/48) -1/4) #s(hole binary64 (* (pow b 2) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))))
#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 (* (- (/ (/ (- b -2) b) b) -1/2) b) #s(hole binary64 (* 1/2 b)))
#s(approx (* (- (/ (/ (- b -2) b) b) -1/2) b) #s(hole binary64 (* b (+ 1/2 (/ 1 b)))))
#s(approx (* (- (/ (/ (- b -2) b) b) -1/2) b) #s(hole binary64 (* b (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))))
#s(approx (* (* (- (/ (/ (- b -2) b) b) -1/2) b) b) #s(hole binary64 (* 1/2 (pow b 2))))
#s(approx (* (* (- (/ (/ (- b -2) b) b) -1/2) b) b) #s(hole binary64 (* (pow b 2) (+ 1/2 (/ 1 b)))))
#s(approx (* (* (- (/ (/ (- b -2) b) b) -1/2) b) b) #s(hole binary64 (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))))))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))))
#s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) #s(hole binary64 (* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) 1/48)))))
#s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) #s(hole binary64 (* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) (+ 1/48 (/ 1/2 (pow b 3))))))))
#s(approx (* (- (/ (/ (- b -2) b) b) -1/2) b) #s(hole binary64 (* -1 (* b (- (* -1 (/ (+ 1 (* 2 (/ 1 b))) b)) 1/2)))))
Calls

6 calls:

TimeVariablePointExpression
23.0ms
b
@-inf
((- (+ 1 (cosh a)) (sinh a)) (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/ 1 (- (+ 1 (cosh a)) (sinh a))) (+ 1 (cosh a)) (/ (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)) (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (+ (* (* b b) 1/48) -1/4) (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/ 1 (+ (exp (neg a)) 1)) (+ (exp (neg a)) 1) (+ (* (+ (* 1/2 a) -1) a) 2) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ (* (+ (* 1/2 b) 1) b) 2) (cosh a) (+ (* 1/2 a) -1) (* (- (/ (/ (- b -2) b) b) -1/2) b) (* (* (- (/ (/ (- b -2) b) b) -1/2) b) b))
5.0ms
a
@inf
((- (+ 1 (cosh a)) (sinh a)) (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/ 1 (- (+ 1 (cosh a)) (sinh a))) (+ 1 (cosh a)) (/ (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)) (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (+ (* (* b b) 1/48) -1/4) (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/ 1 (+ (exp (neg a)) 1)) (+ (exp (neg a)) 1) (+ (* (+ (* 1/2 a) -1) a) 2) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ (* (+ (* 1/2 b) 1) b) 2) (cosh a) (+ (* 1/2 a) -1) (* (- (/ (/ (- b -2) b) b) -1/2) b) (* (* (- (/ (/ (- b -2) b) b) -1/2) b) b))
4.0ms
a
@-inf
((- (+ 1 (cosh a)) (sinh a)) (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/ 1 (- (+ 1 (cosh a)) (sinh a))) (+ 1 (cosh a)) (/ (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)) (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (+ (* (* b b) 1/48) -1/4) (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/ 1 (+ (exp (neg a)) 1)) (+ (exp (neg a)) 1) (+ (* (+ (* 1/2 a) -1) a) 2) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ (* (+ (* 1/2 b) 1) b) 2) (cosh a) (+ (* 1/2 a) -1) (* (- (/ (/ (- b -2) b) b) -1/2) b) (* (* (- (/ (/ (- b -2) b) b) -1/2) b) b))
3.0ms
b
@inf
((- (+ 1 (cosh a)) (sinh a)) (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/ 1 (- (+ 1 (cosh a)) (sinh a))) (+ 1 (cosh a)) (/ (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)) (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (+ (* (* b b) 1/48) -1/4) (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/ 1 (+ (exp (neg a)) 1)) (+ (exp (neg a)) 1) (+ (* (+ (* 1/2 a) -1) a) 2) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ (* (+ (* 1/2 b) 1) b) 2) (cosh a) (+ (* 1/2 a) -1) (* (- (/ (/ (- b -2) b) b) -1/2) b) (* (* (- (/ (/ (- b -2) b) b) -1/2) b) b))
2.0ms
b
@0
((- (+ 1 (cosh a)) (sinh a)) (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/ 1 (- (+ 1 (cosh a)) (sinh a))) (+ 1 (cosh a)) (/ (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)) (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (+ (* (* b b) 1/48) -1/4) (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/ 1 (+ (exp (neg a)) 1)) (+ (exp (neg a)) 1) (+ (* (+ (* 1/2 a) -1) a) 2) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ (* (+ (* 1/2 b) 1) b) 2) (cosh a) (+ (* 1/2 a) -1) (* (- (/ (/ (- b -2) b) b) -1/2) b) (* (* (- (/ (/ (- b -2) b) b) -1/2) b) b))

simplify229.0ms (3%)

Memory
15.7MiB live, 258.1MiB allocated; 17ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05163077
113092854
251372823
083662635
Stop Event
1×iter limit
1×node limit
Counts
119 → 119
Calls
Call 1
Inputs
#s(approx (- (+ 1 (cosh a)) (sinh a)) #s(hole binary64 2))
#s(approx (- (+ 1 (cosh a)) (sinh a)) #s(hole binary64 (+ 2 (* -1 a))))
#s(approx (- (+ 1 (cosh a)) (sinh a)) #s(hole binary64 (+ 2 (* a (- (* 1/2 a) 1)))))
#s(approx (- (+ 1 (cosh a)) (sinh a)) #s(hole binary64 (+ 2 (* a (- (* a (+ 1/2 (* -1/6 a))) 1)))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ (/ 1 (exp (neg 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 (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (* a (- (* 1/6 (/ 1 (+ 1 (exp b)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (+ 1 (exp b))) (/ (* (- (* 1/2 (+ 1 (exp b))) 1/2) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ 1 (- (+ 1 (cosh a)) (sinh a))) #s(hole binary64 1/2))
#s(approx (/ 1 (- (+ 1 (cosh a)) (sinh a))) #s(hole binary64 (+ 1/2 (* 1/4 a))))
#s(approx (/ 1 (- (+ 1 (cosh a)) (sinh a))) #s(hole binary64 (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))))
#s(approx (/ 1 (- (+ 1 (cosh a)) (sinh a))) #s(hole binary64 (+ 1/2 (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))))))
#s(approx (+ 1 (cosh a)) #s(hole binary64 2))
#s(approx (+ 1 (cosh a)) #s(hole binary64 (+ 2 (* 1/2 (pow a 2)))))
#s(approx (+ 1 (cosh a)) #s(hole binary64 (+ 2 (* (pow a 2) (+ 1/2 (* 1/24 (pow a 2)))))))
#s(approx (+ 1 (cosh a)) #s(hole binary64 (+ 2 (* (pow a 2) (+ 1/2 (* (pow a 2) (+ 1/24 (* 1/720 (pow a 2)))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (* 1/2 (+ 1 (* -1/2 b)))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* 1/4 (+ 1 (* -1/2 b))))))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* a (- (* 1/2 (+ 1/2 (* -1 (- (* 1/4 b) (+ (* 1/8 b) (* 1/2 (- (* 1/2 b) (* 1/4 b)))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b))))))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* a (- (+ (* 1/2 (+ 1/2 (* -1 (- (* 1/4 b) (+ (* 1/8 b) (* 1/2 (- (* 1/2 b) (* 1/4 b)))))))) (* a (- (* 1/2 (+ 1/6 (* -1 (- (* 1/12 b) (+ (* 1/24 b) (+ (* 1/4 (- (* 1/2 b) (* 1/4 b))) (* 1/2 (- (* 1/4 b) (+ (* 1/8 b) (* 1/2 (- (* 1/2 b) (* 1/4 b)))))))))))) (+ (* 1/24 (+ 1 (* -1/2 b))) (+ (* 1/4 (- (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* 1/4 (+ 1 (* -1/2 b))))) (* 1/2 (- (* 1/2 (+ 1/2 (* -1 (- (* 1/4 b) (+ (* 1/8 b) (* 1/2 (- (* 1/2 b) (* 1/4 b)))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* 1/4 (+ 1 (* -1/2 b))))))))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b))))))))
#s(approx (/ 1 (+ (exp (neg a)) 1)) #s(hole binary64 1/2))
#s(approx (/ 1 (+ (exp (neg a)) 1)) #s(hole binary64 (+ 1/2 (* 1/4 a))))
#s(approx (/ 1 (+ (exp (neg a)) 1)) #s(hole binary64 (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))))
#s(approx (/ 1 (+ (exp (neg a)) 1)) #s(hole binary64 (+ 1/2 (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))))))
#s(approx (+ (exp (neg a)) 1) #s(hole binary64 2))
#s(approx (+ (exp (neg a)) 1) #s(hole binary64 (+ 2 (* -1 a))))
#s(approx (+ (exp (neg a)) 1) #s(hole binary64 (+ 2 (* a (- (* 1/2 a) 1)))))
#s(approx (+ (exp (neg a)) 1) #s(hole binary64 (+ 2 (* a (- (* a (+ 1/2 (* -1/6 a))) 1)))))
#s(approx (+ (* (+ (* 1/2 a) -1) a) 2) #s(hole binary64 2))
#s(approx (+ (* (+ (* 1/2 a) -1) a) 2) #s(hole binary64 (+ 2 (* -1 a))))
#s(approx (+ (* (+ (* 1/2 a) -1) a) 2) #s(hole binary64 (+ 2 (* a (- (* 1/2 a) 1)))))
#s(approx (cosh a) #s(hole binary64 1))
#s(approx (cosh a) #s(hole binary64 (+ 1 (* 1/2 (pow a 2)))))
#s(approx (cosh a) #s(hole binary64 (+ 1 (* (pow a 2) (+ 1/2 (* 1/24 (pow a 2)))))))
#s(approx (cosh a) #s(hole binary64 (+ 1 (* (pow a 2) (+ 1/2 (* (pow a 2) (+ 1/24 (* 1/720 (pow a 2)))))))))
#s(approx (+ (* 1/2 a) -1) #s(hole binary64 -1))
#s(approx (+ (* 1/2 a) -1) #s(hole binary64 (- (* 1/2 a) 1)))
#s(approx (- (+ 1 (cosh a)) (sinh a)) #s(hole binary64 (- (+ 1 (* 1/2 (+ (exp a) (/ 1 (exp a))))) (* 1/2 (- (exp a) (/ 1 (exp a)))))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))))
#s(approx (/ 1 (- (+ 1 (cosh a)) (sinh a))) #s(hole binary64 (/ 1 (- (+ 1 (* 1/2 (+ (exp a) (/ 1 (exp a))))) (* 1/2 (- (exp a) (/ 1 (exp a))))))))
#s(approx (+ 1 (cosh a)) #s(hole binary64 (+ 1 (* 1/2 (+ (exp a) (/ 1 (exp a)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ (exp a) (exp b)))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (/ (+ (exp a) (* -1 (/ (* b (exp a)) (+ 1 (exp a))))) (+ 1 (exp a)))))
#s(approx (/ 1 (+ (exp (neg a)) 1)) #s(hole binary64 (/ 1 (+ 1 (exp (neg a))))))
#s(approx (+ (exp (neg a)) 1) #s(hole binary64 (+ 1 (exp (neg a)))))
#s(approx (+ (* (+ (* 1/2 a) -1) a) 2) #s(hole binary64 (* 1/2 (pow a 2))))
#s(approx (+ (* (+ (* 1/2 a) -1) a) 2) #s(hole binary64 (* (pow a 2) (- 1/2 (/ 1 a)))))
#s(approx (+ (* (+ (* 1/2 a) -1) a) 2) #s(hole binary64 (* (pow a 2) (- (+ 1/2 (/ 2 (pow a 2))) (/ 1 a)))))
#s(approx (cosh a) #s(hole binary64 (* 1/2 (+ (exp a) (/ 1 (exp a))))))
#s(approx (+ (* 1/2 a) -1) #s(hole binary64 (* 1/2 a)))
#s(approx (+ (* 1/2 a) -1) #s(hole binary64 (* a (- 1/2 (/ 1 a)))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))))
#s(approx (/ 1 (+ (exp (neg a)) 1)) #s(hole binary64 (/ 1 (+ 1 (exp (* -1 a))))))
#s(approx (+ (exp (neg a)) 1) #s(hole binary64 (+ 1 (exp (* -1 a)))))
#s(approx (+ (* (+ (* 1/2 a) -1) a) 2) #s(hole binary64 (* (pow a 2) (+ 1/2 (* -1 (/ (- 1 (* 2 (/ 1 a))) a))))))
#s(approx (+ (* 1/2 a) -1) #s(hole binary64 (* -1 (* a (- (/ 1 a) 1/2)))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (* (exp (neg a)) (+ 1 (exp a))))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (/ b (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* b (- (+ (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (+ (* 1/6 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 4)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3)))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))))
#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 (/ (+ (* (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 (/ 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 (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (+ (* (* b b) 1/48) -1/4) #s(hole binary64 -1/4))
#s(approx (+ (* (* b b) 1/48) -1/4) #s(hole binary64 (- (* 1/48 (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 (+ (* (+ (* 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 (* (- (/ (/ (- b -2) b) b) -1/2) b) #s(hole binary64 (/ 2 b)))
#s(approx (* (- (/ (/ (- b -2) b) b) -1/2) b) #s(hole binary64 (/ (+ 2 b) b)))
#s(approx (* (- (/ (/ (- b -2) b) b) -1/2) b) #s(hole binary64 (/ (+ 2 (* b (+ 1 (* 1/2 b)))) b)))
#s(approx (* (* (- (/ (/ (- b -2) b) b) -1/2) b) b) #s(hole binary64 2))
#s(approx (* (* (- (/ (/ (- b -2) b) b) -1/2) b) b) #s(hole binary64 (+ 2 b)))
#s(approx (* (* (- (/ (/ (- b -2) b) b) -1/2) b) b) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 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 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 (/ 1 (- (exp b) -1)) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) #s(hole binary64 (* 1/48 (pow b 3))))
#s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) #s(hole binary64 (* (pow b 3) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))))
#s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) #s(hole binary64 (* (pow b 3) (- (+ 1/48 (/ 1/2 (pow b 3))) (* 1/4 (/ 1 (pow b 2)))))))
#s(approx (+ (* (* b b) 1/48) -1/4) #s(hole binary64 (* 1/48 (pow b 2))))
#s(approx (+ (* (* b b) 1/48) -1/4) #s(hole binary64 (* (pow b 2) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))))
#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 (* (- (/ (/ (- b -2) b) b) -1/2) b) #s(hole binary64 (* 1/2 b)))
#s(approx (* (- (/ (/ (- b -2) b) b) -1/2) b) #s(hole binary64 (* b (+ 1/2 (/ 1 b)))))
#s(approx (* (- (/ (/ (- b -2) b) b) -1/2) b) #s(hole binary64 (* b (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))))
#s(approx (* (* (- (/ (/ (- b -2) b) b) -1/2) b) b) #s(hole binary64 (* 1/2 (pow b 2))))
#s(approx (* (* (- (/ (/ (- b -2) b) b) -1/2) b) b) #s(hole binary64 (* (pow b 2) (+ 1/2 (/ 1 b)))))
#s(approx (* (* (- (/ (/ (- b -2) b) b) -1/2) b) b) #s(hole binary64 (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))))))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))))
#s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) #s(hole binary64 (* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) 1/48)))))
#s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) #s(hole binary64 (* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) (+ 1/48 (/ 1/2 (pow b 3))))))))
#s(approx (* (- (/ (/ (- b -2) b) b) -1/2) b) #s(hole binary64 (* -1 (* b (- (* -1 (/ (+ 1 (* 2 (/ 1 b))) b)) 1/2)))))
Outputs
#s(approx (- (+ 1 (cosh a)) (sinh a)) #s(hole binary64 2))
#s(approx (- (+ 1 (cosh a)) (sinh a)) #s(literal 2 binary64))
#s(approx (- (+ 1 (cosh a)) (sinh a)) #s(hole binary64 (+ 2 (* -1 a))))
#s(approx (- (+ 1 (cosh a)) (sinh a)) (-.f64 #s(literal 2 binary64) a))
#s(approx (- (+ 1 (cosh a)) (sinh a)) #s(hole binary64 (+ 2 (* a (- (* 1/2 a) 1)))))
#s(approx (- (+ 1 (cosh a)) (sinh a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 2 binary64)))
#s(approx (- (+ 1 (cosh a)) (sinh a)) #s(hole binary64 (+ 2 (* a (- (* a (+ 1/2 (* -1/6 a))) 1)))))
#s(approx (- (+ 1 (cosh a)) (sinh a)) (fma.f64 (-.f64 (*.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 (exp (neg 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 (/ (/ 1 (exp (neg 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 (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (fma.f64 (+.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 b))) (-.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)))) #s(literal 1/2 binary64)) (-.f64 (exp.f64 b) #s(literal -1 binary64)))) 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 (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (* a (- (* 1/6 (/ 1 (+ 1 (exp b)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (+ 1 (exp b))) (/ (* (- (* 1/2 (+ 1 (exp b))) 1/2) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (/.f64 (+.f64 (fma.f64 (fma.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (-.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)))) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (fma.f64 (+.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 b))) (-.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)))) #s(literal 1/2 binary64)) (-.f64 (exp.f64 b) #s(literal -1 binary64)))) (+.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 b))))) (/.f64 #s(literal 1/6 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))) (-.f64 (exp.f64 b) #s(literal -1 binary64)))) a (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (fma.f64 (+.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 b))) (-.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)))) #s(literal 1/2 binary64)) (-.f64 (exp.f64 b) #s(literal -1 binary64))))) 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 (/ 1 (- (+ 1 (cosh a)) (sinh a))) #s(hole binary64 1/2))
#s(approx (/ 1 (- (+ 1 (cosh a)) (sinh a))) #s(literal 1/2 binary64))
#s(approx (/ 1 (- (+ 1 (cosh a)) (sinh a))) #s(hole binary64 (+ 1/2 (* 1/4 a))))
#s(approx (/ 1 (- (+ 1 (cosh a)) (sinh a))) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))
#s(approx (/ 1 (- (+ 1 (cosh a)) (sinh a))) #s(hole binary64 (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))))
#s(approx (/ 1 (- (+ 1 (cosh a)) (sinh a))) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))
#s(approx (/ 1 (- (+ 1 (cosh a)) (sinh a))) #s(hole binary64 (+ 1/2 (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))))))
#s(approx (/ 1 (- (+ 1 (cosh a)) (sinh a))) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/480 binary64) (*.f64 a a)) #s(literal 1/48 binary64)) (*.f64 a a) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))
#s(approx (+ 1 (cosh a)) #s(hole binary64 2))
#s(approx (+ 1 (cosh a)) #s(literal 2 binary64))
#s(approx (+ 1 (cosh a)) #s(hole binary64 (+ 2 (* 1/2 (pow a 2)))))
#s(approx (+ 1 (cosh a)) (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 2 binary64)))
#s(approx (+ 1 (cosh a)) #s(hole binary64 (+ 2 (* (pow a 2) (+ 1/2 (* 1/24 (pow a 2)))))))
#s(approx (+ 1 (cosh a)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 2 binary64)))
#s(approx (+ 1 (cosh a)) #s(hole binary64 (+ 2 (* (pow a 2) (+ 1/2 (* (pow a 2) (+ 1/24 (* 1/720 (pow a 2)))))))))
#s(approx (+ 1 (cosh a)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 2 binary64)))
#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 (fma.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -3/2 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))) a (-.f64 (/.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)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (fma.f64 (+.f64 (fma.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1/6 binary64)) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 3 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 4 binary64)))))) a (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -3/2 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)))) 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 (/ (+ (* (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 #s(literal 1/16 binary64) b (*.f64 (fma.f64 #s(literal -1/8 binary64) b (*.f64 #s(literal 1/8 binary64) b)) #s(literal -1/2 binary64)))) #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 (+ (exp (neg a)) 1)) #s(hole binary64 1/2))
#s(approx (/ 1 (- (+ 1 (cosh a)) (sinh a))) #s(literal 1/2 binary64))
#s(approx (/ 1 (+ (exp (neg a)) 1)) #s(hole binary64 (+ 1/2 (* 1/4 a))))
#s(approx (/ 1 (- (+ 1 (cosh a)) (sinh a))) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))
#s(approx (/ 1 (+ (exp (neg a)) 1)) #s(hole binary64 (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))))
#s(approx (/ 1 (- (+ 1 (cosh a)) (sinh a))) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))
#s(approx (/ 1 (+ (exp (neg a)) 1)) #s(hole binary64 (+ 1/2 (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))))))
#s(approx (/ 1 (- (+ 1 (cosh a)) (sinh a))) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/480 binary64) (*.f64 a a)) #s(literal 1/48 binary64)) (*.f64 a a) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))
#s(approx (+ (exp (neg a)) 1) #s(hole binary64 2))
#s(approx (- (+ 1 (cosh a)) (sinh a)) #s(literal 2 binary64))
#s(approx (+ (exp (neg a)) 1) #s(hole binary64 (+ 2 (* -1 a))))
#s(approx (- (+ 1 (cosh a)) (sinh a)) (-.f64 #s(literal 2 binary64) a))
#s(approx (+ (exp (neg a)) 1) #s(hole binary64 (+ 2 (* a (- (* 1/2 a) 1)))))
#s(approx (- (+ 1 (cosh a)) (sinh a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 2 binary64)))
#s(approx (+ (exp (neg a)) 1) #s(hole binary64 (+ 2 (* a (- (* a (+ 1/2 (* -1/6 a))) 1)))))
#s(approx (- (+ 1 (cosh a)) (sinh a)) (fma.f64 (-.f64 (*.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 (+ (* (+ (* 1/2 a) -1) a) 2) #s(hole binary64 2))
#s(approx (+ (* (+ (* 1/2 a) -1) a) 2) #s(literal 2 binary64))
#s(approx (+ (* (+ (* 1/2 a) -1) a) 2) #s(hole binary64 (+ 2 (* -1 a))))
#s(approx (+ (* (+ (* 1/2 a) -1) a) 2) (-.f64 #s(literal 2 binary64) a))
#s(approx (+ (* (+ (* 1/2 a) -1) a) 2) #s(hole binary64 (+ 2 (* a (- (* 1/2 a) 1)))))
#s(approx (+ (* (+ (* 1/2 a) -1) a) 2) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 2 binary64)))
#s(approx (cosh a) #s(hole binary64 1))
#s(approx (cosh a) #s(literal 1 binary64))
#s(approx (cosh a) #s(hole binary64 (+ 1 (* 1/2 (pow a 2)))))
#s(approx (cosh a) (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (cosh a) #s(hole binary64 (+ 1 (* (pow a 2) (+ 1/2 (* 1/24 (pow a 2)))))))
#s(approx (cosh a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))
#s(approx (cosh a) #s(hole binary64 (+ 1 (* (pow a 2) (+ 1/2 (* (pow a 2) (+ 1/24 (* 1/720 (pow a 2)))))))))
#s(approx (cosh a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))
#s(approx (+ (* 1/2 a) -1) #s(hole binary64 -1))
#s(approx (+ (* 1/2 a) -1) #s(literal -1 binary64))
#s(approx (+ (* 1/2 a) -1) #s(hole binary64 (- (* 1/2 a) 1)))
#s(approx (+ (* 1/2 a) -1) (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)))
#s(approx (- (+ 1 (cosh a)) (sinh a)) #s(hole binary64 (- (+ 1 (* 1/2 (+ (exp a) (/ 1 (exp a))))) (* 1/2 (- (exp a) (/ 1 (exp a)))))))
#s(approx (- (+ 1 (cosh a)) (sinh a)) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (exp.f64 a) (exp.f64 (neg.f64 a))) (-.f64 (exp.f64 a) (exp.f64 (neg.f64 a)))) #s(literal 1 binary64)))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))))
#s(approx (/ 1 (- (+ 1 (cosh a)) (sinh a))) #s(hole binary64 (/ 1 (- (+ 1 (* 1/2 (+ (exp a) (/ 1 (exp a))))) (* 1/2 (- (exp a) (/ 1 (exp a))))))))
#s(approx (/ 1 (- (+ 1 (cosh a)) (sinh a))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (exp.f64 a) (exp.f64 (neg.f64 a))) (-.f64 (exp.f64 a) (exp.f64 (neg.f64 a)))) #s(literal 1 binary64))))
#s(approx (+ 1 (cosh a)) #s(hole binary64 (+ 1 (* 1/2 (+ (exp a) (/ 1 (exp a)))))))
#s(approx (+ 1 (cosh a)) (fma.f64 (+.f64 (exp.f64 a) (exp.f64 (neg.f64 a))) #s(literal 1/2 binary64) #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 (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (/ (+ (exp a) (* -1 (/ (* b (exp a)) (+ 1 (exp a))))) (+ 1 (exp a)))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (/.f64 (fma.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (neg.f64 (exp.f64 a)) (exp.f64 a)) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
#s(approx (/ 1 (+ (exp (neg a)) 1)) #s(hole binary64 (/ 1 (+ 1 (exp (neg a))))))
#s(approx (/ 1 (- (+ 1 (cosh a)) (sinh a))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
#s(approx (+ (exp (neg a)) 1) #s(hole binary64 (+ 1 (exp (neg a)))))
#s(approx (- (+ 1 (cosh a)) (sinh a)) (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64)))
#s(approx (+ (* (+ (* 1/2 a) -1) a) 2) #s(hole binary64 (* 1/2 (pow a 2))))
#s(approx (+ (* (+ (* 1/2 a) -1) a) 2) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* 1/2 a) -1) a) 2) #s(hole binary64 (* (pow a 2) (- 1/2 (/ 1 a)))))
#s(approx (+ (* (+ (* 1/2 a) -1) a) 2) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) a)) a) a))
#s(approx (+ (* (+ (* 1/2 a) -1) a) 2) #s(hole binary64 (* (pow a 2) (- (+ 1/2 (/ 2 (pow a 2))) (/ 1 a)))))
#s(approx (+ (* (+ (* 1/2 a) -1) a) 2) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a)) (*.f64 a a)))
#s(approx (cosh a) #s(hole binary64 (* 1/2 (+ (exp a) (/ 1 (exp a))))))
#s(approx (cosh a) (*.f64 (+.f64 (exp.f64 a) (exp.f64 (neg.f64 a))) #s(literal 1/2 binary64)))
#s(approx (+ (* 1/2 a) -1) #s(hole binary64 (* 1/2 a)))
#s(approx (+ (* 1/2 a) -1) (*.f64 #s(literal 1/2 binary64) a))
#s(approx (+ (* 1/2 a) -1) #s(hole binary64 (* a (- 1/2 (/ 1 a)))))
#s(approx (+ (* 1/2 a) -1) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) a)) a))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))))
#s(approx (/ 1 (+ (exp (neg a)) 1)) #s(hole binary64 (/ 1 (+ 1 (exp (* -1 a))))))
#s(approx (/ 1 (- (+ 1 (cosh a)) (sinh a))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
#s(approx (+ (exp (neg a)) 1) #s(hole binary64 (+ 1 (exp (* -1 a)))))
#s(approx (- (+ 1 (cosh a)) (sinh a)) (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64)))
#s(approx (+ (* (+ (* 1/2 a) -1) a) 2) #s(hole binary64 (* (pow a 2) (+ 1/2 (* -1 (/ (- 1 (* 2 (/ 1 a))) a))))))
#s(approx (+ (* (+ (* 1/2 a) -1) a) 2) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) a)) a)) a) a))
#s(approx (+ (* 1/2 a) -1) #s(hole binary64 (* -1 (* a (- (/ 1 a) 1/2)))))
#s(approx (+ (* 1/2 a) -1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1/2 binary64)) (neg.f64 a)))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (* (exp (neg 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 (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (/ b (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 (neg.f64 b) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64)))) (exp.f64 (neg.f64 a))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))))
#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 (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* b (- (+ (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (+ (* 1/6 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 4)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3)))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (/.f64 (+.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (*.f64 #s(literal -1/6 binary64) (exp.f64 a))) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (exp.f64 a) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 4 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 a) (exp b))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (fma.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (neg.f64 (exp.f64 a)) (exp.f64 a)) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (*.f64 (/.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 (-.f64 (*.f64 (neg.f64 b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 a) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 (neg.f64 (exp.f64 a)) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #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 (exp.f64 a) #s(literal -1 binary64)))) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 a) (/.f64 (neg.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 (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (/.f64 (fma.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (neg.f64 (exp.f64 a)) (exp.f64 a)) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* -1/4 b) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (+ (* -1/4 b) 1/2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
#s(approx (/ 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 (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (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 (+ (* (* b b) 1/48) -1/4) #s(hole binary64 -1/4))
#s(approx (+ (* (* b b) 1/48) -1/4) #s(literal -1/4 binary64))
#s(approx (+ (* (* b b) 1/48) -1/4) #s(hole binary64 (- (* 1/48 (pow b 2)) 1/4)))
#s(approx (+ (* (* b b) 1/48) -1/4) (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)))
#s(approx (- (exp b) -1) #s(hole binary64 2))
#s(approx (- (exp b) -1) #s(literal 2 binary64))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 b)))
#s(approx (- (exp b) -1) (-.f64 b #s(literal -2 binary64)))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
#s(approx (+ (* (+ (* 1/2 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 b #s(literal -2 binary64)))
#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 (* (- (/ (/ (- b -2) b) b) -1/2) b) #s(hole binary64 (/ 2 b)))
#s(approx (* (- (/ (/ (- b -2) b) b) -1/2) b) (/.f64 #s(literal 2 binary64) b))
#s(approx (* (- (/ (/ (- b -2) b) b) -1/2) b) #s(hole binary64 (/ (+ 2 b) b)))
#s(approx (* (- (/ (/ (- b -2) b) b) -1/2) b) (/.f64 (-.f64 b #s(literal -2 binary64)) b))
#s(approx (* (- (/ (/ (- b -2) b) b) -1/2) b) #s(hole binary64 (/ (+ 2 (* b (+ 1 (* 1/2 b)))) b)))
#s(approx (* (- (/ (/ (- b -2) b) b) -1/2) b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) b)))
#s(approx (* (* (- (/ (/ (- b -2) b) b) -1/2) b) b) #s(hole binary64 2))
#s(approx (* (* (- (/ (/ (- b -2) b) b) -1/2) b) b) #s(literal 2 binary64))
#s(approx (* (* (- (/ (/ (- b -2) b) b) -1/2) b) b) #s(hole binary64 (+ 2 b)))
#s(approx (* (* (- (/ (/ (- b -2) b) b) -1/2) b) b) (-.f64 b #s(literal -2 binary64)))
#s(approx (* (* (- (/ (/ (- b -2) b) b) -1/2) b) b) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#s(approx (* (* (- (/ (/ (- b -2) b) b) -1/2) b) b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2)))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (*.f64 (neg.f64 (exp.f64 a)) (/.f64 b (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a))))))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (*.f64 (/.f64 (+.f64 (/.f64 (exp.f64 a) b) (/.f64 (neg.f64 (exp.f64 a)) (-.f64 (exp.f64 a) #s(literal -1 binary64)))) (-.f64 (exp.f64 a) #s(literal -1 binary64))) b))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (* -1/4 b)))
#s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (* b (- (* 1/2 (/ 1 b)) 1/4))))
#s(approx (+ (* -1/4 b) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/4 binary64)) b))
#s(approx (/ 1 (- (exp b) -1)) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ 1 (- (exp b) -1)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
#s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) #s(hole binary64 (* 1/48 (pow b 3))))
#s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64)))
#s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) #s(hole binary64 (* (pow b 3) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))))
#s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (*.f64 (-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 3 binary64))))
#s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) #s(hole binary64 (* (pow b 3) (- (+ 1/48 (/ 1/2 (pow b 3))) (* 1/4 (/ 1 (pow b 2)))))))
#s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/4 binary64)) (*.f64 b b)) #s(literal 1/48 binary64)) (pow.f64 b #s(literal 3 binary64))))
#s(approx (+ (* (* b b) 1/48) -1/4) #s(hole binary64 (* 1/48 (pow b 2))))
#s(approx (+ (* (* b b) 1/48) -1/4) (*.f64 (*.f64 b b) #s(literal 1/48 binary64)))
#s(approx (+ (* (* b b) 1/48) -1/4) #s(hole binary64 (* (pow b 2) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))))
#s(approx (+ (* (* b b) 1/48) -1/4) (*.f64 (*.f64 (-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 b b))) b) b))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 1 (exp b))))
#s(approx (- (exp b) -1) (-.f64 (exp.f64 b) #s(literal -1 binary64)))
#s(approx (+ (* (+ (* 1/2 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) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) 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) (*.f64 (-.f64 (/.f64 (/.f64 (-.f64 b #s(literal -2 binary64)) b) b) #s(literal -1/2 binary64)) (*.f64 b b)))
#s(approx (* (- (/ (/ (- b -2) b) b) -1/2) b) #s(hole binary64 (* 1/2 b)))
#s(approx (* (- (/ (/ (- b -2) b) b) -1/2) b) (*.f64 #s(literal 1/2 binary64) b))
#s(approx (* (- (/ (/ (- b -2) b) b) -1/2) b) #s(hole binary64 (* b (+ 1/2 (/ 1 b)))))
#s(approx (* (- (/ (/ (- b -2) b) b) -1/2) b) (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)))
#s(approx (* (- (/ (/ (- b -2) b) b) -1/2) b) #s(hole binary64 (* b (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))))
#s(approx (* (- (/ (/ (- b -2) b) b) -1/2) b) (fma.f64 #s(literal 1/2 binary64) b (fma.f64 (/.f64 (/.f64 #s(literal 2 binary64) b) b) b #s(literal 1 binary64))))
#s(approx (* (* (- (/ (/ (- b -2) b) b) -1/2) b) b) #s(hole binary64 (* 1/2 (pow b 2))))
#s(approx (* (* (- (/ (/ (- b -2) b) b) -1/2) b) b) (*.f64 (*.f64 b b) #s(literal 1/2 binary64)))
#s(approx (* (* (- (/ (/ (- b -2) b) b) -1/2) b) b) #s(hole binary64 (* (pow b 2) (+ 1/2 (/ 1 b)))))
#s(approx (* (* (- (/ (/ (- b -2) b) b) -1/2) b) b) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b))
#s(approx (* (* (- (/ (/ (- b -2) b) b) -1/2) b) b) #s(hole binary64 (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))))
#s(approx (* (* (- (/ (/ (- b -2) b) b) -1/2) b) b) (*.f64 (-.f64 (/.f64 (/.f64 (-.f64 b #s(literal -2 binary64)) b) b) #s(literal -1/2 binary64)) (*.f64 b b)))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (*.f64 (/.f64 (+.f64 (/.f64 (exp.f64 a) b) (/.f64 (neg.f64 (exp.f64 a)) (-.f64 (exp.f64 a) #s(literal -1 binary64)))) (-.f64 (exp.f64 a) #s(literal -1 binary64))) b))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))))
#s(approx (+ (* -1/4 b) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/4 binary64)) b))
#s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) #s(hole binary64 (* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) 1/48)))))
#s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (*.f64 (pow.f64 (neg.f64 b) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 b b)) #s(literal 1/48 binary64))))
#s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) #s(hole binary64 (* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) (+ 1/48 (/ 1/2 (pow b 3))))))))
#s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (*.f64 (pow.f64 (neg.f64 b) #s(literal 3 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 b b)) #s(literal 1/48 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 3 binary64))))))
#s(approx (* (- (/ (/ (- b -2) b) b) -1/2) b) #s(hole binary64 (* -1 (* b (- (* -1 (/ (+ 1 (* 2 (/ 1 b))) b)) 1/2)))))
#s(approx (* (- (/ (/ (- b -2) b) b) -1/2) b) (*.f64 (neg.f64 b) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) b) #s(literal -1 binary64)) b) #s(literal 1/2 binary64))))

rewrite138.0ms (1.8%)

Memory
13.5MiB live, 107.0MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060368
084360
1356354
02900346
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
23 → 205
Calls
Call 1
Inputs
(-.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 a)) (sinh.f64 a))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 a)) (sinh.f64 a))))
(/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 a)) (sinh.f64 a)))
(+.f64 #s(literal 1 binary64) (cosh.f64 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 (/ (+ (* (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)))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ 1 (- (exp b) -1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))
(fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg a)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg a)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 2 binary64))))
#s(approx (+ (exp (neg a)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 2 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 2 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 (-.f64 (/.f64 (/.f64 (-.f64 b #s(literal -2 binary64)) b) b) #s(literal -1/2 binary64)) b) b)))))
(/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 (-.f64 (/.f64 (/.f64 (-.f64 b #s(literal -2 binary64)) b) b) #s(literal -1/2 binary64)) b) b))))
#s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 (-.f64 (/.f64 (/.f64 (-.f64 b #s(literal -2 binary64)) b) b) #s(literal -1/2 binary64)) b) b)))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 (-.f64 (/.f64 (/.f64 (-.f64 b #s(literal -2 binary64)) b) b) #s(literal -1/2 binary64)) b) b))
(cosh.f64 a)
(fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64))
(*.f64 (-.f64 (/.f64 (/.f64 (-.f64 b #s(literal -2 binary64)) b) b) #s(literal -1/2 binary64)) b)
(*.f64 (*.f64 (-.f64 (/.f64 (/.f64 (-.f64 b #s(literal -2 binary64)) b) b) #s(literal -1/2 binary64)) b) b)
Outputs
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 a) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (neg.f64 a) #s(literal 2 binary64)))) (neg.f64 (expm1.f64 (neg.f64 a))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 (cosh.f64 a) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 a) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (sinh.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)) (pow.f64 (-.f64 (cosh.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 a) #s(literal 3 binary64))) #s(literal -1 binary64))) (neg.f64 (-.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 a) #s(literal 2 binary64))) #s(literal 1 binary64)) (exp.f64 (neg.f64 a)))))
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cosh.f64 a) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (cosh.f64 a)) (*.f64 #s(literal 2 binary64) (sinh.f64 a)))) (*.f64 (-.f64 #s(literal 1 binary64) (cosh.f64 a)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 (cosh.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 (cosh.f64 a) (-.f64 (cosh.f64 a) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 a)))) (*.f64 (fma.f64 (cosh.f64 a) (-.f64 (cosh.f64 a) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/.f64 (expm1.f64 (*.f64 (neg.f64 a) #s(literal 2 binary64))) (expm1.f64 (neg.f64 a)))
(/.f64 (-.f64 (pow.f64 (-.f64 (cosh.f64 a) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 a) #s(literal 3 binary64))) (fma.f64 (sinh.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)) (pow.f64 (-.f64 (cosh.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64))))
(/.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 a) #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 (neg.f64 a) #s(literal 2 binary64))) (exp.f64 (neg.f64 a)))))
(/.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 a) #s(literal 3 binary64))) #s(literal -1 binary64)) (-.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 a) #s(literal 2 binary64))) #s(literal 1 binary64)) (exp.f64 (neg.f64 a))))
(fma.f64 (*.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 (neg.f64 a) #s(literal 0 binary64)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (neg.f64 a) #s(literal 0 binary64)) #s(literal 2 binary64)))) (sinh.f64 (neg.f64 a)))
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 a #s(literal 0 binary64)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 a #s(literal 0 binary64)) #s(literal 2 binary64)))) (sinh.f64 (neg.f64 a)))
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 #s(literal 0 binary64) (neg.f64 a)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 #s(literal 0 binary64) (neg.f64 a)) #s(literal 2 binary64)))) (sinh.f64 (neg.f64 a)))
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 #s(literal 0 binary64) a) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 #s(literal 0 binary64) a) #s(literal 2 binary64)))) (sinh.f64 (neg.f64 a)))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (cosh.f64 a)) (-.f64 #s(literal 1 binary64) (sinh.f64 a)))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (cosh.f64 a)) (+.f64 (sinh.f64 (neg.f64 a)) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 a)) #s(literal 1 binary64))
(fma.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (cosh.f64 a) #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sinh.f64 a)))
(fma.f64 (cosh.f64 a) #s(literal 1 binary64) (+.f64 (sinh.f64 (neg.f64 a)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (cosh.f64 a) (-.f64 #s(literal 1 binary64) (sinh.f64 a)))
(fma.f64 #s(literal 1 binary64) (cosh.f64 a) (+.f64 (sinh.f64 (neg.f64 a)) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 (-.f64 (cosh.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (pow.f64 (sinh.f64 a) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(-.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 a) #s(literal 2 binary64))) (expm1.f64 (neg.f64 a))) (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 a))))
(-.f64 (/.f64 (pow.f64 (-.f64 (cosh.f64 a) #s(literal -1 binary64)) #s(literal 3 binary64)) (fma.f64 (sinh.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)) (pow.f64 (-.f64 (cosh.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sinh.f64 a) #s(literal 3 binary64)) (fma.f64 (sinh.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)) (pow.f64 (-.f64 (cosh.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64)))))
(-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64))
(-.f64 (-.f64 (cosh.f64 a) #s(literal -1 binary64)) (sinh.f64 a))
(-.f64 (cosh.f64 a) (-.f64 (sinh.f64 a) #s(literal 1 binary64)))
(+.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 a) #s(literal 3 binary64))) (-.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 a) #s(literal 2 binary64))) #s(literal 1 binary64)) (exp.f64 (neg.f64 a)))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 a) #s(literal 2 binary64))) #s(literal 1 binary64)) (exp.f64 (neg.f64 a)))))
(+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))
(+.f64 (-.f64 (cosh.f64 a) #s(literal -1 binary64)) (sinh.f64 (neg.f64 a)))
(+.f64 (cosh.f64 a) (-.f64 #s(literal 1 binary64) (sinh.f64 a)))
(+.f64 (cosh.f64 a) (+.f64 (sinh.f64 (neg.f64 a)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (pow.f64 (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (neg.f64 a) #s(literal 2 binary64)))) (expm1.f64 (neg.f64 a)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (-.f64 (cosh.f64 a) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 a) #s(literal 3 binary64)))) (fma.f64 (sinh.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)) (pow.f64 (-.f64 (cosh.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 (neg.f64 a) #s(literal 3 binary64))) #s(literal -1 binary64))) (-.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 a) #s(literal 2 binary64))) #s(literal 1 binary64)) (exp.f64 (neg.f64 a))))
(*.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(pow.f64 (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -1 binary64) (exp.f64 a)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (/.f64 #s(literal -1 binary64) (exp.f64 a)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64))))
(neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1 binary64) (exp.f64 a)) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 (neg.f64 a))) #s(literal -1 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 (neg.f64 a) #s(literal 0 binary64)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (neg.f64 a) #s(literal 0 binary64)) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 a #s(literal 0 binary64)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 a #s(literal 0 binary64)) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 #s(literal 0 binary64) (neg.f64 a)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 #s(literal 0 binary64) (neg.f64 a)) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 #s(literal 0 binary64) a) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 #s(literal 0 binary64) a) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (cosh.f64 a) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (cosh.f64 a) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cosh.f64 a) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (cosh.f64 a))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cosh.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (cosh.f64 a) (-.f64 (cosh.f64 a) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cosh.f64 a) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (cosh.f64 a)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (cosh.f64 a) (cosh.f64 a) (-.f64 #s(literal 1 binary64) (cosh.f64 a))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (cosh.f64 a) (-.f64 (cosh.f64 a) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (cosh.f64 a)) #s(literal 1 binary64))
(fma.f64 (cosh.f64 a) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (cosh.f64 a) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cosh.f64 a))) (/.f64 (pow.f64 (cosh.f64 a) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cosh.f64 a))))
(-.f64 (cosh.f64 a) #s(literal -1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cosh.f64 a) (-.f64 (cosh.f64 a) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (cosh.f64 a) #s(literal 3 binary64)) (fma.f64 (cosh.f64 a) (-.f64 (cosh.f64 a) #s(literal 1 binary64)) #s(literal 1 binary64))))
(+.f64 (cosh.f64 a) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (cosh.f64 a))
#s(approx (/ (/ 1 (exp (neg 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 (/ (+ (* (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)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/16 binary64) (*.f64 b b))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 b b) #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 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/64 binary64) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 b b) (-.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal -1/8 binary64))))))
(/.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (-.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/64 binary64) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 b b)) (*.f64 b #s(literal -1/8 binary64)))))
(/.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/64 binary64) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/16 binary64) (*.f64 b b) (-.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal -1/8 binary64)))))
(fma.f64 #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 (*.f64 #s(literal 1/16 binary64) (*.f64 b b)) (-.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 #s(literal 1/16 binary64) (*.f64 b b) (-.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal -1/8 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/16 binary64) (*.f64 b b) (-.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal -1/8 binary64))))))
(+.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ 1 (- (exp b) -1)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) b) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) b)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) b) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) b) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) b) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) b)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) b) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) b) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) b) #s(literal 1/2 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) b) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) b) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) b) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) b) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) b)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) b) #s(literal 2 binary64))))
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(-.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) a))
(-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 a) #s(literal 1/2 binary64)))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) a) #s(literal 3 binary64)) (fma.f64 (*.f64 a a) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a #s(literal -1/2 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 a a) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a #s(literal -1/2 binary64))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) a) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) a))
(*.f64 (-.f64 (/.f64 (/.f64 (-.f64 b #s(literal -2 binary64)) b) b) #s(literal -1/2 binary64)) b)
(*.f64 b (-.f64 (/.f64 (/.f64 (-.f64 b #s(literal -2 binary64)) b) b) #s(literal -1/2 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (-.f64 b #s(literal -2 binary64)) b) b) #s(literal 2 binary64)) #s(literal 1/4 binary64)) b) (+.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (-.f64 b #s(literal -2 binary64)) b) b)))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (-.f64 b #s(literal -2 binary64)) b) b) #s(literal 3 binary64)) #s(literal -1/8 binary64)) b) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (-.f64 b #s(literal -2 binary64)) b) b)) (pow.f64 (/.f64 (/.f64 (-.f64 b #s(literal -2 binary64)) b) b) #s(literal 2 binary64))))
(/.f64 (*.f64 b (-.f64 (pow.f64 (/.f64 (/.f64 (-.f64 b #s(literal -2 binary64)) b) b) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (+.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (-.f64 b #s(literal -2 binary64)) b) b)))
(/.f64 (*.f64 b (-.f64 (pow.f64 (/.f64 (/.f64 (-.f64 b #s(literal -2 binary64)) b) b) #s(literal 3 binary64)) #s(literal -1/8 binary64))) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (-.f64 b #s(literal -2 binary64)) b) b)) (pow.f64 (/.f64 (/.f64 (-.f64 b #s(literal -2 binary64)) b) b) #s(literal 2 binary64))))
(*.f64 (*.f64 (-.f64 (/.f64 (/.f64 (-.f64 b #s(literal -2 binary64)) b) b) #s(literal -1/2 binary64)) (neg.f64 b)) (neg.f64 b))
(*.f64 (*.f64 (-.f64 (/.f64 (/.f64 (-.f64 b #s(literal -2 binary64)) b) b) #s(literal -1/2 binary64)) (fabs.f64 b)) (fabs.f64 b))
(*.f64 (*.f64 (-.f64 (/.f64 (/.f64 (-.f64 b #s(literal -2 binary64)) b) b) #s(literal -1/2 binary64)) b) b)
(*.f64 (-.f64 (/.f64 (/.f64 (-.f64 b #s(literal -2 binary64)) b) b) #s(literal -1/2 binary64)) (*.f64 b b))
(*.f64 (*.f64 b b) (-.f64 (/.f64 (/.f64 (-.f64 b #s(literal -2 binary64)) b) b) #s(literal -1/2 binary64)))
(*.f64 b (*.f64 (-.f64 (/.f64 (/.f64 (-.f64 b #s(literal -2 binary64)) b) b) #s(literal -1/2 binary64)) b))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (-.f64 b #s(literal -2 binary64)) b) b) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 b b)) (+.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (-.f64 b #s(literal -2 binary64)) b) b)))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (-.f64 b #s(literal -2 binary64)) b) b) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (*.f64 b b)) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (-.f64 b #s(literal -2 binary64)) b) b)) (pow.f64 (/.f64 (/.f64 (-.f64 b #s(literal -2 binary64)) b) b) #s(literal 2 binary64))))

eval72.0ms (1%)

Memory
-31.0MiB live, 66.2MiB allocated; 10ms collecting garbage
Compiler

Compiled 10 707 to 1 559 computations (85.4% saved)

prune45.0ms (0.6%)

Memory
1.8MiB live, 49.1MiB allocated; 2ms collecting garbage
Pruning

27 alts after pruning (17 fresh and 10 done)

PrunedKeptTotal
New29410304
Fresh4711
Picked145
Done066
Total29927326
Accuracy
100.0%
Counts
326 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓63.6%
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 a)) (sinh.f64 a))))
63.3%
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (+ 1 (cosh a)) #s(literal 2 binary64)) (sinh.f64 a))))
✓64.4%
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))))
37.5%
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (+ 1 (cosh a)) (sinh a)) (-.f64 #s(literal 2 binary64) a))))
55.0%
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg a)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal -1 binary64)) a #s(literal 2 binary64)))))
31.8%
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg a)) 1) #s(approx (+ (* (+ (* 1/2 a) -1) a) 2) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a)) (*.f64 a a))))))
42.3%
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg a)) 1) #s(approx (+ (* (+ (* 1/2 a) -1) a) 2) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) a)) a)) a) a)))))
16.3%
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg a)) 1) #s(approx (+ (* (+ (* 1/2 a) -1) a) 2) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))))))
36.6%
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(approx (/ 1 (- (+ 1 (cosh a)) (sinh a))) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))))
36.7%
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(approx (/ 1 (- (+ 1 (cosh a)) (sinh a))) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
36.7%
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp (neg a)) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (*.f64 a a) #s(literal -1/48 binary64)) (*.f64 a a) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))))
✓80.2%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
59.0%
#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)))))
✓53.5%
#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)))))
✓35.9%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
21.3%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)))))
✓47.1%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 (-.f64 (/.f64 (/.f64 (-.f64 b #s(literal -2 binary64)) b) b) #s(literal -1/2 binary64)) b) b)))))
21.6%
#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))))))
37.0%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 #s(approx (* (- (/ (/ (- b -2) b) b) -1/2) b) (/.f64 #s(literal 2 binary64) b)) b)))))
3.9%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ 2 b) b))))
47.4%
#s(approx (/ (exp a) (+ (exp a) (exp 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)))))
✓35.3%
#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))))
3.7%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
✓35.0%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #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))))
✓34.6%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
16.7%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 5 binary64)) #s(literal -1/480 binary64)))))
✓36.7%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
Compiler

Compiled 1 847 to 830 computations (55.1% saved)

regimes76.0ms (1%)

Memory
25.5MiB live, 72.4MiB allocated; 2ms collecting garbage
Counts
40 → 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 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)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp (neg a)) 1)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(approx (/ 1 (- (+ 1 (cosh a)) (sinh a))) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ 2 b) b))))
#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 (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg a)) 1) (-.f64 #s(literal 2 binary64) a))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (+ 1 (cosh a)) (sinh a)) (-.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp (neg a)) 1)) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(approx (/ 1 (- (+ 1 (cosh a)) (sinh a))) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) b) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg a)) 1) #s(approx (+ (* (+ (* 1/2 a) -1) a) 2) (*.f64 (*.f64 a 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 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg a)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 #s(approx (* (- (/ (/ (- b -2) b) b) -1/2) b) (/.f64 #s(literal 2 binary64) b)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #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 (exp (neg a))) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp (neg a)) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (*.f64 a a) #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) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg a)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal -1 binary64)) a #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 (-.f64 (/.f64 (/.f64 (-.f64 b #s(literal -2 binary64)) b) b) #s(literal -1/2 binary64)) b) b)))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg a)) 1) #s(approx (+ (* (+ (* 1/2 a) -1) a) 2) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) a)) a)) a) a)))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg a)) 1) #s(approx (+ (* (+ (* 1/2 a) -1) a) 2) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a)) (*.f64 a a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 5 binary64)) #s(literal -1/480 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (+ 1 (cosh a)) #s(literal 2 binary64)) (sinh.f64 a))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 a)) (sinh.f64 a))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (+.f64 (cosh.f64 a) #s(approx (exp b) #s(literal 1 binary64))) (sinh.f64 a)))
(/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (+.f64 (cosh.f64 a) (exp.f64 b)) (sinh.f64 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))))
(/.f64 (*.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a))) (+.f64 (exp.f64 a) (exp.f64 b)))
#s(approx (/ (exp a) (+ (exp a) (exp 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)))))
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (+.f64 (exp.f64 a) (exp.f64 b)))
Calls

5 calls:

37.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
10.0ms
b
10.0ms
a
8.0ms
(exp.f64 b)
8.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
99.6%1(exp.f64 b)
99.6%1(exp.f64 a)
99.6%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
99.6%1a
99.6%1b
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes60.0ms (0.8%)

Memory
12.1MiB live, 58.4MiB allocated; 3ms collecting garbage
Counts
35 → 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 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)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp (neg a)) 1)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(approx (/ 1 (- (+ 1 (cosh a)) (sinh a))) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ 2 b) b))))
#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 (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg a)) 1) (-.f64 #s(literal 2 binary64) a))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (+ 1 (cosh a)) (sinh a)) (-.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp (neg a)) 1)) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(approx (/ 1 (- (+ 1 (cosh a)) (sinh a))) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) b) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg a)) 1) #s(approx (+ (* (+ (* 1/2 a) -1) a) 2) (*.f64 (*.f64 a 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 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg a)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 #s(approx (* (- (/ (/ (- b -2) b) b) -1/2) b) (/.f64 #s(literal 2 binary64) b)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #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 (exp (neg a))) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp (neg a)) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (*.f64 a a) #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) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg a)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal -1 binary64)) a #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 (-.f64 (/.f64 (/.f64 (-.f64 b #s(literal -2 binary64)) b) b) #s(literal -1/2 binary64)) b) b)))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg a)) 1) #s(approx (+ (* (+ (* 1/2 a) -1) a) 2) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) a)) a)) a) a)))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg a)) 1) #s(approx (+ (* (+ (* 1/2 a) -1) a) 2) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a)) (*.f64 a a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 5 binary64)) #s(literal -1/480 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (+ 1 (cosh a)) #s(literal 2 binary64)) (sinh.f64 a))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 a)) (sinh.f64 a))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (+.f64 (cosh.f64 a) #s(approx (exp b) #s(literal 1 binary64))) (sinh.f64 a)))
Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Calls

5 calls:

28.0ms
a
9.0ms
b
7.0ms
(exp.f64 b)
7.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
7.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
99.6%1(exp.f64 b)
99.6%1(exp.f64 a)
99.6%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
99.6%1a
99.6%1b
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes90.0ms (1.2%)

Memory
-27.3MiB live, 72.8MiB allocated; 10ms collecting garbage
Counts
33 → 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 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)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp (neg a)) 1)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(approx (/ 1 (- (+ 1 (cosh a)) (sinh a))) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ 2 b) b))))
#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 (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg a)) 1) (-.f64 #s(literal 2 binary64) a))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (+ 1 (cosh a)) (sinh a)) (-.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp (neg a)) 1)) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(approx (/ 1 (- (+ 1 (cosh a)) (sinh a))) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) b) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg a)) 1) #s(approx (+ (* (+ (* 1/2 a) -1) a) 2) (*.f64 (*.f64 a 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 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg a)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 #s(approx (* (- (/ (/ (- b -2) b) b) -1/2) b) (/.f64 #s(literal 2 binary64) b)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #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 (exp (neg a))) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp (neg a)) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (*.f64 a a) #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) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg a)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal -1 binary64)) a #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 (-.f64 (/.f64 (/.f64 (-.f64 b #s(literal -2 binary64)) b) b) #s(literal -1/2 binary64)) b) b)))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg a)) 1) #s(approx (+ (* (+ (* 1/2 a) -1) a) 2) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) a)) a)) a) a)))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg a)) 1) #s(approx (+ (* (+ (* 1/2 a) -1) a) 2) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a)) (*.f64 a a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 5 binary64)) #s(literal -1/480 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (+ 1 (cosh a)) #s(literal 2 binary64)) (sinh.f64 a))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 a)) (sinh.f64 a))))
Outputs
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (+ 1 (cosh a)) #s(literal 2 binary64)) (sinh.f64 a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
Calls

5 calls:

36.0ms
(exp.f64 b)
31.0ms
b
9.0ms
a
6.0ms
(exp.f64 a)
6.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Results
AccuracySegmentsBranch
99.3%3(exp.f64 b)
98.8%2(exp.f64 a)
80.2%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
98.8%2a
99.3%3b
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes36.0ms (0.5%)

Memory
6.3MiB live, 52.5MiB 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 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)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp (neg a)) 1)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(approx (/ 1 (- (+ 1 (cosh a)) (sinh a))) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ 2 b) b))))
#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 (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg a)) 1) (-.f64 #s(literal 2 binary64) a))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (+ 1 (cosh a)) (sinh a)) (-.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp (neg a)) 1)) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(approx (/ 1 (- (+ 1 (cosh a)) (sinh a))) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) b) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg a)) 1) #s(approx (+ (* (+ (* 1/2 a) -1) a) 2) (*.f64 (*.f64 a 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 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg a)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 #s(approx (* (- (/ (/ (- b -2) b) b) -1/2) b) (/.f64 #s(literal 2 binary64) b)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #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 (exp (neg a))) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp (neg a)) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (*.f64 a a) #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) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg a)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal -1 binary64)) a #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 (-.f64 (/.f64 (/.f64 (-.f64 b #s(literal -2 binary64)) b) b) #s(literal -1/2 binary64)) b) b)))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg a)) 1) #s(approx (+ (* (+ (* 1/2 a) -1) a) 2) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) a)) a)) a) a)))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg a)) 1) #s(approx (+ (* (+ (* 1/2 a) -1) a) 2) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a)) (*.f64 a a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 5 binary64)) #s(literal -1/480 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
Outputs
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg a)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal -1 binary64)) a #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
Calls

4 calls:

15.0ms
b
8.0ms
a
6.0ms
(exp.f64 b)
6.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
94.0%3(exp.f64 b)
94.0%3b
90.4%2(exp.f64 a)
94.3%2a
Compiler

Compiled 6 to 10 computations (-66.7% saved)

regimes65.0ms (0.9%)

Memory
2.2MiB live, 45.9MiB allocated; 12ms collecting garbage
Counts
28 → 3
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (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 (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp (neg a)) 1)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(approx (/ 1 (- (+ 1 (cosh a)) (sinh a))) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ 2 b) b))))
#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 (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg a)) 1) (-.f64 #s(literal 2 binary64) a))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (+ 1 (cosh a)) (sinh a)) (-.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp (neg a)) 1)) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(approx (/ 1 (- (+ 1 (cosh a)) (sinh a))) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) b) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg a)) 1) #s(approx (+ (* (+ (* 1/2 a) -1) a) 2) (*.f64 (*.f64 a 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 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg a)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 #s(approx (* (- (/ (/ (- b -2) b) b) -1/2) b) (/.f64 #s(literal 2 binary64) b)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #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 (exp (neg a))) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp (neg a)) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (*.f64 a a) #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) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg a)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal -1 binary64)) a #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 (-.f64 (/.f64 (/.f64 (-.f64 b #s(literal -2 binary64)) b) b) #s(literal -1/2 binary64)) b) b)))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg a)) 1) #s(approx (+ (* (+ (* 1/2 a) -1) a) 2) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) a)) a)) a) a)))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg a)) 1) #s(approx (+ (* (+ (* 1/2 a) -1) a) 2) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a)) (*.f64 a a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 5 binary64)) #s(literal -1/480 binary64)))))
Outputs
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg a)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal -1 binary64)) a #s(literal 2 binary64)))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg a)) 1) #s(approx (+ (* (+ (* 1/2 a) -1) a) 2) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) a)) a)) 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:

39.0ms
b
7.0ms
a
6.0ms
(exp.f64 b)
6.0ms
(exp.f64 a)
5.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Results
AccuracySegmentsBranch
64.8%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
70.3%2(exp.f64 a)
78.0%3b
74.8%2(exp.f64 b)
73.4%2a
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes8.0ms (0.1%)

Memory
11.7MiB live, 11.7MiB allocated; 0ms collecting garbage
Counts
25 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (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 (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp (neg a)) 1)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(approx (/ 1 (- (+ 1 (cosh a)) (sinh a))) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ 2 b) b))))
#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 (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg a)) 1) (-.f64 #s(literal 2 binary64) a))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (+ 1 (cosh a)) (sinh a)) (-.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp (neg a)) 1)) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(approx (/ 1 (- (+ 1 (cosh a)) (sinh a))) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) b) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg a)) 1) #s(approx (+ (* (+ (* 1/2 a) -1) a) 2) (*.f64 (*.f64 a 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 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg a)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 #s(approx (* (- (/ (/ (- b -2) b) b) -1/2) b) (/.f64 #s(literal 2 binary64) b)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #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 (exp (neg a))) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp (neg a)) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (*.f64 a a) #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) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg a)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal -1 binary64)) a #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 (-.f64 (/.f64 (/.f64 (-.f64 b #s(literal -2 binary64)) b) b) #s(literal -1/2 binary64)) b) b)))))
Outputs
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg a)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal -1 binary64)) a #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
Calls

1 calls:

7.0ms
b
Results
AccuracySegmentsBranch
75.1%2b
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes38.0ms (0.5%)

Memory
-28.7MiB live, 23.2MiB allocated; 12ms 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 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)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp (neg a)) 1)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(approx (/ 1 (- (+ 1 (cosh a)) (sinh a))) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ 2 b) b))))
#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 (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg a)) 1) (-.f64 #s(literal 2 binary64) a))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (+ 1 (cosh a)) (sinh a)) (-.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp (neg a)) 1)) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(approx (/ 1 (- (+ 1 (cosh a)) (sinh a))) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) b) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg a)) 1) #s(approx (+ (* (+ (* 1/2 a) -1) a) 2) (*.f64 (*.f64 a 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 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg a)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 #s(approx (* (- (/ (/ (- b -2) b) b) -1/2) b) (/.f64 #s(literal 2 binary64) b)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #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 (exp (neg a))) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp (neg a)) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (*.f64 a a) #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) (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 (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg a)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (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:

26.0ms
a
6.0ms
b
5.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
69.2%2a
70.9%2(exp.f64 b)
70.9%2b
Compiler

Compiled 4 to 7 computations (-75% saved)

regimes23.0ms (0.3%)

Memory
30.1MiB live, 30.1MiB allocated; 0ms collecting garbage
Counts
22 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (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 (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp (neg a)) 1)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(approx (/ 1 (- (+ 1 (cosh a)) (sinh a))) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ 2 b) b))))
#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 (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg a)) 1) (-.f64 #s(literal 2 binary64) a))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (+ 1 (cosh a)) (sinh a)) (-.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp (neg a)) 1)) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(approx (/ 1 (- (+ 1 (cosh a)) (sinh a))) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) b) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg a)) 1) #s(approx (+ (* (+ (* 1/2 a) -1) a) 2) (*.f64 (*.f64 a 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 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg a)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 #s(approx (* (- (/ (/ (- b -2) b) b) -1/2) b) (/.f64 #s(literal 2 binary64) b)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #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 (exp (neg a))) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp (neg a)) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (*.f64 a a) #s(literal -1/48 binary64)) (*.f64 a a) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))))
Outputs
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg a)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
Calls

4 calls:

6.0ms
b
6.0ms
a
5.0ms
(exp.f64 b)
4.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
64.1%2a
61.7%2(exp.f64 a)
65.3%2(exp.f64 b)
65.4%2b
Compiler

Compiled 6 to 10 computations (-66.7% saved)

regimes41.0ms (0.5%)

Memory
-27.6MiB live, 17.5MiB allocated; 6ms 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 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)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp (neg a)) 1)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(approx (/ 1 (- (+ 1 (cosh a)) (sinh a))) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ 2 b) b))))
#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 (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg a)) 1) (-.f64 #s(literal 2 binary64) a))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (+ 1 (cosh a)) (sinh a)) (-.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp (neg a)) 1)) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(approx (/ 1 (- (+ 1 (cosh a)) (sinh a))) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) b) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg a)) 1) #s(approx (+ (* (+ (* 1/2 a) -1) a) 2) (*.f64 (*.f64 a 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 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
Outputs
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg a)) 1) #s(approx (+ (* (+ (* 1/2 a) -1) a) 2) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
Calls

4 calls:

27.0ms
a
5.0ms
b
4.0ms
(exp.f64 b)
4.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Results
AccuracySegmentsBranch
64.1%2a
55.6%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
55.9%2(exp.f64 b)
55.9%2b
Compiler

Compiled 12 to 13 computations (-8.3% saved)

regimes21.0ms (0.3%)

Memory
19.3MiB live, 19.3MiB allocated; 0ms 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 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)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp (neg a)) 1)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(approx (/ 1 (- (+ 1 (cosh a)) (sinh a))) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ 2 b) b))))
#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 (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg a)) 1) (-.f64 #s(literal 2 binary64) a))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (+ 1 (cosh a)) (sinh a)) (-.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp (neg a)) 1)) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(approx (/ 1 (- (+ 1 (cosh a)) (sinh a))) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) b) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg a)) 1) #s(approx (+ (* (+ (* 1/2 a) -1) a) 2) (*.f64 (*.f64 a 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 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)))))
Outputs
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg a)) 1) (-.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) b) b)))))
Calls

5 calls:

5.0ms
a
5.0ms
b
3.0ms
(exp.f64 b)
3.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
3.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
54.9%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
55.4%2(exp.f64 b)
55.4%2b
49.8%2(exp.f64 a)
52.1%3a
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes28.0ms (0.4%)

Memory
-21.3MiB live, 24.0MiB allocated; 6ms collecting garbage
Counts
12 → 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 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)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp (neg a)) 1)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(approx (/ 1 (- (+ 1 (cosh a)) (sinh a))) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ 2 b) b))))
#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 (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg a)) 1) (-.f64 #s(literal 2 binary64) a))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (+ 1 (cosh a)) (sinh a)) (-.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp (neg a)) 1)) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(approx (/ 1 (- (+ 1 (cosh a)) (sinh a))) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))))
Outputs
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg a)) 1) (-.f64 #s(literal 2 binary64) a))))
Calls

5 calls:

4.0ms
b
4.0ms
a
3.0ms
(exp.f64 b)
3.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
3.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
37.5%1(exp.f64 a)
37.5%1a
37.5%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
37.5%1(exp.f64 b)
37.5%1b
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes12.0ms (0.2%)

Memory
18.3MiB live, 18.3MiB allocated; 0ms collecting garbage
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* -1/4 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)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp (neg a)) 1)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(approx (/ 1 (- (+ 1 (cosh a)) (sinh a))) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ 2 b) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
Outputs
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp (neg a)) 1)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
Calls

5 calls:

3.0ms
b
2.0ms
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
36.7%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
36.7%1a
36.7%1(exp.f64 a)
36.7%1(exp.f64 b)
36.7%1b
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes7.0ms (0.1%)

Memory
11.6MiB live, 11.6MiB allocated; 0ms collecting garbage
Accuracy

Total -21.4b remaining (-52.8%)

Threshold costs -21.4b (-52.8%)

Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (- (exp a) -1))) (exp a)) (- (exp a) -1)) #s(approx (+ (* -1/4 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)) (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:

1.0ms
b
1.0ms
a
1.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms
(exp.f64 b)
1.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
36.7%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
36.7%1a
36.7%1b
36.7%1(exp.f64 b)
36.7%1(exp.f64 a)
Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch47.0ms (0.6%)

Memory
-28.8MiB live, 17.3MiB allocated; 5ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
13.0ms
-3.8703703140368155e+22
-1.594862899253928e+19
Samples
6.0ms128×0valid
1.0ms18×0exit
Compiler

Compiled 315 to 275 computations (12.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-exp: 2.0ms (51.9% of total)
ival-div: 1.0ms (26% of total)
ival-add: 1.0ms (26% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch13.0ms (0.2%)

Memory
13.8MiB live, 13.8MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
11.0ms
-6.612953361128886e+102
-8.117735755903052e+100
Samples
5.0ms112×0valid
1.0ms13×0exit
Compiler

Compiled 326 to 263 computations (19.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-exp: 2.0ms (61.8% of total)
ival-div: 1.0ms (30.9% of total)
ival-add: 1.0ms (30.9% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch25.0ms (0.3%)

Memory
27.0MiB live, 27.0MiB allocated; 0ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
9.0ms
6.350505187849895e+83
9.42291332286011e+84
13.0ms
0.24314916961040786
46635.79570518291
Samples
12.0ms240×0valid
Compiler

Compiled 1 082 to 812 computations (25% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-exp: 4.0ms (57.9% of total)
ival-div: 2.0ms (29% of total)
ival-add: 1.0ms (14.5% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch57.0ms (0.8%)

Memory
-32.3MiB live, 19.4MiB allocated; 12ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
55.0ms
3.2945167031025836e+41
5.066248641029636e+53
Samples
48.0ms160×0valid
Compiler

Compiled 571 to 431 computations (24.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-exp: 2.0ms (47.8% of total)
ival-div: 1.0ms (23.9% of total)
ival-add: 1.0ms (23.9% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch13.0ms (0.2%)

Memory
17.1MiB live, 17.1MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
11.0ms
7.729453743181142e-50
1.368248952531731e-46
Samples
6.0ms128×0valid
Compiler

Compiled 435 to 331 computations (23.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-exp: 2.0ms (60.5% of total)
ival-div: 1.0ms (30.3% of total)
ival-add: 1.0ms (30.3% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch11.0ms (0.1%)

Memory
17.8MiB live, 17.8MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
10.0ms
1.213755121016352e+122
3.734591423197141e+123
Samples
5.0ms112×0valid
Compiler

Compiled 361 to 277 computations (23.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-exp: 2.0ms (69.8% of total)
ival-div: 1.0ms (34.9% of total)
ival-add: 1.0ms (34.9% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch37.0ms (0.5%)

Memory
-10.6MiB live, 35.5MiB allocated; 7ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
35.0ms
-1.5314066131695168e+154
-3.806260138938812e+145
Samples
28.0ms144×0valid
1.0ms19×0exit
Compiler

Compiled 533 to 407 computations (23.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-exp: 2.0ms (45.7% of total)
ival-div: 1.0ms (22.9% of total)
ival-add: 1.0ms (22.9% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch31.0ms (0.4%)

Memory
-18.6MiB live, 28.6MiB allocated; 2ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
29.0ms
3.2945167031025836e+41
5.066248641029636e+53
Samples
24.0ms128×0valid
Compiler

Compiled 551 to 431 computations (21.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-exp: 19.0ms (90.2% of total)
ival-div: 1.0ms (4.7% of total)
ival-add: 1.0ms (4.7% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify46.0ms (0.6%)

Memory
21.8MiB live, 69.1MiB allocated; 2ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0127561
1170539
2315539
31026539
Stop Event
1×node limit
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (<=.f64 a #s(literal -16000000000000000000 binary64)) #s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (+ 1 (cosh a)) #s(literal 2 binary64)) (sinh.f64 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 -6500000000000000410310477185104660509709506844680420152858143482774139559697108428275632553229872529408 binary64)) #s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg a)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal -1 binary64)) a #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
(if (<=.f64 b #s(literal 420 binary64)) #s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg a)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal -1 binary64)) a #s(literal 2 binary64))))) (if (<=.f64 b #s(literal 8999999999999999441501622397017478535254800663079350288396599867489511762007911563264 binary64)) #s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg a)) 1) #s(approx (+ (* (+ (* 1/2 a) -1) a) 2) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) a)) a)) 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 500000000000000039145770202298121921152680149943058432 binary64)) #s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg a)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal -1 binary64)) a #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (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 3470986175599419/25711008708143844408671393477458601640355247900524685364822016 binary64)) #s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg a)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (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 3499999999999999995376849771596742216749213691249007626362371282703715477717282461654064990776790569137245026772351696502784 binary64)) #s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg a)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))))
(if (<=.f64 a #s(literal -6000000000000000370541844864089650430387023753368941706779417800053064941257524550524834071447139693671834238391117827232766626973057283290514129009246208 binary64)) #s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg a)) 1) #s(approx (+ (* (+ (* 1/2 a) -1) a) 2) (*.f64 (*.f64 a a) #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))))))
(if (<=.f64 b #s(literal 25999999999999998868362043562994043738393094914048 binary64)) #s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg a)) 1) (-.f64 #s(literal 2 binary64) a)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) b) b))))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg a)) 1) (-.f64 #s(literal 2 binary64) a))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp (neg a)) 1)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (<=.f64 a #s(literal -16000000000000000000 binary64)) #s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (+ 1 (cosh a)) #s(literal 2 binary64)) (sinh.f64 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 -16000000000000000000 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (+ 1 (cosh a)) #s(literal 2 binary64)) (sinh.f64 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 -6500000000000000410310477185104660509709506844680420152858143482774139559697108428275632553229872529408 binary64)) #s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg a)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal -1 binary64)) a #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
(if (<=.f64 a #s(literal -6500000000000000410310477185104660509709506844680420152858143482774139559697108428275632553229872529408 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg a)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal -1 binary64)) a #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
(if (<=.f64 b #s(literal 420 binary64)) #s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg a)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal -1 binary64)) a #s(literal 2 binary64))))) (if (<=.f64 b #s(literal 8999999999999999441501622397017478535254800663079350288396599867489511762007911563264 binary64)) #s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg a)) 1) #s(approx (+ (* (+ (* 1/2 a) -1) a) 2) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) a)) a)) 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 420 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg a)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal -1 binary64)) a #s(literal 2 binary64))))) (if (<=.f64 b #s(literal 8999999999999999441501622397017478535254800663079350288396599867489511762007911563264 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg a)) 1) #s(approx (+ (* (+ (* 1/2 a) -1) a) 2) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) a)) a)) 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 500000000000000039145770202298121921152680149943058432 binary64)) #s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg a)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal -1 binary64)) a #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (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 500000000000000039145770202298121921152680149943058432 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg a)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal -1 binary64)) a #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (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 3470986175599419/25711008708143844408671393477458601640355247900524685364822016 binary64)) #s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg a)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (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))))))
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derivations2.0s (26.8%)

Memory
-29.9MiB live, 1 886.5MiB allocated; 218ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 539 to 129 computations (76.1% saved)

preprocess64.0ms (0.8%)

Memory
42.1MiB live, 137.1MiB allocated; 10ms collecting garbage
Compiler

Compiled 1 110 to 284 computations (74.4% saved)

end0.0ms (0%)

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

Profiling

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