Quotient of sum of exps

Time bar (total: 6.5s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze60.0ms (0.9%)

Memory
-34.7MiB live, 14.5MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
50%50%50%0.1%0%0%0%2
75%74.9%25%0.1%0%0%0%3
87.5%87.4%12.5%0.1%0%0%0%4
93.8%93.7%6.2%0.1%0%0%0%5
93.8%93.7%6.2%0.1%0%0%0%6
95.2%93.7%4.7%0.1%0%1.6%0%7
96%93.7%3.9%0.1%0%2.3%0%8
97.2%93.7%2.7%0.1%0%3.5%0%9
97.8%93.7%2.1%0.1%0%4.1%0%10
98.5%93.7%1.5%0.1%0%4.8%0%11
98.8%93.7%1.1%0.1%0%5.1%0%12
Compiler

Compiled 10 to 8 computations (20% saved)

sample1.2s (18.6%)

Memory
56.3MiB live, 2 836.8MiB allocated
Samples
517.0ms8 256×0valid
259.0ms2 988×0exit
Precisions
Click to see histograms. Total time spent on operations: 448.0ms
ival-exp: 284.0ms (63.4% of total)
ival-div: 78.0ms (17.4% of total)
ival-add: 72.0ms (16.1% of total)
ival-true: 9.0ms (2% of total)
ival-assert: 5.0ms (1.1% of total)
Bogosity

explain77.0ms (1.2%)

Memory
26.5MiB live, 220.1MiB allocated
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))overflow67
↳(exp.f64 a)overflow1
↳(exp.f64 b)overflow67
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
30.0ms512×0valid
Compiler

Compiled 50 to 22 computations (56% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-exp: 8.0ms (50.3% of total)
ival-div: 4.0ms (25.2% of total)
ival-add: 3.0ms (18.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess182.0ms (2.8%)

Memory
-8.1MiB live, 338.6MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01648
14448
214248
354843
4314243
068
0108
1178
2438
31198
45818
558018
085148
Stop Event
1×iter limit
1×node limit
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
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)

simplify110.0ms (1.7%)

Memory
-19.7MiB live, 165.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(exp.f64 b)
cost-diff0
(+.f64 (exp.f64 a) (exp.f64 b))
cost-diff0
(exp.f64 a)
cost-diff0
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0619
01019
11719
24319
311919
458119
5580119
0851419
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

localize20.0ms (0.3%)

Memory
-6.3MiB live, 39.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(exp.f64 b)
accuracy0.0
(exp.f64 a)
accuracy0.02734375
(+.f64 (exp.f64 a) (exp.f64 b))
accuracy0.27343612397081396
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Samples
15.0ms256×0valid
Compiler

Compiled 21 to 8 computations (61.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-exp: 6.0ms (65.7% of total)
ival-div: 2.0ms (21.9% of total)
ival-add: 1.0ms (11% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
12.0MiB live, 12.0MiB allocated
Counts
4 → 27
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(exp.f64 a)
(+.f64 (exp.f64 a) (exp.f64 b))
(exp.f64 b)
Outputs
(/ 1 (+ 1 (exp b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(+ 1 (exp b))
(+ 1 (+ a (exp b)))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(/ (exp a) (+ (exp a) (exp b)))
(exp a)
(+ (exp a) (exp b))
(/ (exp a) (+ 1 (exp a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(+ 1 (exp a))
(+ 1 (+ b (exp a)))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ 1 b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(exp b)
Calls

6 calls:

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

simplify181.0ms (2.8%)

Memory
13.0MiB live, 253.3MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0120516
1363504
21377475
36354467
08422434
Stop Event
1×iter limit
1×node limit
Counts
27 → 27
Calls
Call 1
Inputs
(/ 1 (+ 1 (exp b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(+ 1 (exp b))
(+ 1 (+ a (exp b)))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(/ (exp a) (+ (exp a) (exp b)))
(exp a)
(+ (exp a) (exp b))
(/ (exp a) (+ 1 (exp a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(+ 1 (exp a))
(+ 1 (+ b (exp a)))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ 1 b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(exp b)
Outputs
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 (-.f64 (/.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))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 (-.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))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 (fma.f64 (+.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))) (/.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))) 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))))
1
#s(literal 1 binary64)
(+ 1 a)
(+.f64 #s(literal 1 binary64) a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))
(+ 1 (exp b))
(+.f64 (exp.f64 b) #s(literal 1 binary64))
(+ 1 (+ a (exp b)))
(+.f64 (+.f64 (exp.f64 b) a) #s(literal 1 binary64))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64)))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(exp a)
(exp.f64 a)
(+ (exp a) (exp b))
(+.f64 (exp.f64 a) (exp.f64 b))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(/.f64 (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)))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(fma.f64 (-.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))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(fma.f64 (-.f64 (*.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))))
(+ 1 (exp a))
(+.f64 (exp.f64 a) #s(literal 1 binary64))
(+ 1 (+ b (exp a)))
(+.f64 (+.f64 (exp.f64 a) b) #s(literal 1 binary64))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(+ 1 b)
(+.f64 #s(literal 1 binary64) b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64))
(exp b)
(exp.f64 b)

rewrite172.0ms (2.6%)

Memory
-19.3MiB live, 259.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0617
01017
13317
224417
3309317
0854917
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
4 → 309
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) (-.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 (neg.f64 (exp.f64 a)) (-.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 (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)))
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(/.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 (sqrt.f64 (+.f64 (pow.f64 (*.f64 (cosh.f64 b) (exp.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sinh.f64 b) (exp.f64 b)) #s(literal 3 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 (-.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))

eval51.0ms (0.8%)

Memory
-2.8MiB live, 97.8MiB allocated
Compiler

Compiled 10 498 to 1 399 computations (86.7% saved)

prune5.0ms (0.1%)

Memory
22.0MiB live, 22.0MiB allocated
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New3963399
Fresh000
Picked101
Done000
Total3973400
Accuracy
100.0%
Counts
400 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶64.7%
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
▶99.4%
(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 a)) (+.f64 (exp.f64 b) (exp.f64 a))))
▶79.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
Compiler

Compiled 39 to 31 computations (20.5% saved)

simplify140.0ms (2.1%)

Memory
-4.9MiB live, 225.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

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

Useful iterations: 3 (0.0ms)

IterNodesCost
02097
03197
15792
217192
372391
4539391
0814391
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
#s(literal 1 binary64)
(+.f64 (exp.f64 b) #s(literal 1 binary64))
(exp.f64 b)
b
(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 a)) (+.f64 (exp.f64 b) (exp.f64 a))))
#s(literal 1 binary64)
(*.f64 (exp.f64 (neg.f64 a)) (+.f64 (exp.f64 b) (exp.f64 a)))
(exp.f64 (neg.f64 a))
(neg.f64 a)
a
(+.f64 (exp.f64 b) (exp.f64 a))
(exp.f64 b)
b
(exp.f64 a)
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(exp.f64 a)
a
#s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(+.f64 (exp.f64 a) #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
#s(literal 1 binary64)
(+.f64 (exp.f64 b) #s(literal 1 binary64))
(exp.f64 b)
b
(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 a)) (+.f64 (exp.f64 b) (exp.f64 a))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
#s(literal 1 binary64)
(*.f64 (exp.f64 (neg.f64 a)) (+.f64 (exp.f64 b) (exp.f64 a)))
(-.f64 (exp.f64 (-.f64 b a)) #s(literal -1 binary64))
(exp.f64 (neg.f64 a))
(neg.f64 a)
a
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 a) (exp.f64 b))
(exp.f64 b)
b
(exp.f64 a)
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(exp.f64 a)
a
#s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(+.f64 (exp.f64 a) #s(literal 1 binary64))
#s(literal 1 binary64)

localize43.0ms (0.7%)

Memory
6.9MiB live, 99.9MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(exp.f64 a)
accuracy0.01953125
(+.f64 (exp.f64 a) #s(literal 1 binary64))
accuracy0.27343612397081396
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
accuracy26.552013484328583
#s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
accuracy0.0
(exp.f64 a)
accuracy0.02734375
(+.f64 (exp.f64 b) (exp.f64 a))
accuracy0.13318509887334146
(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 a)) (+.f64 (exp.f64 b) (exp.f64 a))))
accuracy0.22265625000000003
(*.f64 (exp.f64 (neg.f64 a)) (+.f64 (exp.f64 b) (exp.f64 a)))
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))
accuracy12.914028736400855
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
Samples
30.0ms256×0valid
Compiler

Compiled 82 to 17 computations (79.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-exp: 6.0ms (30.8% of total)
ival-add: 6.0ms (30.8% of total)
ival-div: 4.0ms (20.5% of total)
ival-mult: 2.0ms (10.3% of total)
ival-neg: 1.0ms (5.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series20.0ms (0.3%)

Memory
-0.0MiB live, 53.9MiB allocated
Counts
13 → 61
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
(+.f64 (exp.f64 b) #s(literal 1 binary64))
(exp.f64 b)
(*.f64 (exp.f64 (neg.f64 a)) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 a)) (+.f64 (exp.f64 b) (exp.f64 a))))
(exp.f64 (neg.f64 a))
(neg.f64 a)
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(exp.f64 a)
#s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(+.f64 (exp.f64 a) #s(literal 1 binary64))
(+.f64 (exp.f64 b) (exp.f64 a))
Outputs
(/ 1 (+ 1 (exp b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ 1 (exp b))
(+ 1 (+ (exp b) (* a (+ 1 (* -1 (+ 1 (exp b)))))))
(+ 1 (+ (exp b) (* a (+ 1 (+ (* -1 (+ 1 (exp b))) (* a (- (* 1/2 (+ 1 (exp b))) 1/2)))))))
(+ 1 (+ (exp b) (* a (+ 1 (+ (* -1 (+ 1 (exp b))) (* a (- (+ (* 1/2 (+ 1 (exp b))) (* a (+ 1/6 (* -1/6 (+ 1 (exp b)))))) 1/2)))))))
(+ (* a (- (+ (* a (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (* a (- (* 1/6 (/ 1 (+ 1 (exp b)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (+ 1 (exp b))) (/ (* (- (* 1/2 (+ 1 (exp b))) 1/2) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
1
(+ 1 (* -1 a))
(+ 1 (* a (- (* 1/2 a) 1)))
(+ 1 (* a (- (* a (+ 1/2 (* -1/6 a))) 1)))
(* -1 a)
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(+ 1 (+ a (exp b)))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
2
(+ 2 a)
(+ 2 (* a (+ 1 (* 1/2 a))))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(/ (exp a) (+ (exp a) (exp b)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(exp (neg a))
(exp a)
(+ (exp a) (exp b))
(+ 1 (exp a))
(* (exp (* -1 a)) (+ (exp a) (exp b)))
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))
(exp (* -1 a))
(/ (exp a) (+ 1 (exp a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
1/2
(+ 1/2 (* -1/4 b))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(+ 1 b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(* (exp (neg a)) (+ 1 (exp a)))
(+ (* b (exp (neg a))) (* (exp (neg a)) (+ 1 (exp a))))
(+ (* b (+ (exp (neg a)) (* 1/2 (* b (exp (neg a)))))) (* (exp (neg a)) (+ 1 (exp a))))
(+ (* b (+ (exp (neg a)) (* b (+ (* 1/6 (* b (exp (neg a)))) (* 1/2 (exp (neg a))))))) (* (exp (neg a)) (+ 1 (exp a))))
(/ 1 (* (exp (neg a)) (+ 1 (exp a))))
(+ (* -1 (/ b (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
(+ (* b (- (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
(+ (* b (- (* b (- (+ (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (+ (* 1/6 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 4)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3)))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
(+ 1 (+ b (exp a)))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(exp b)
Calls

6 calls:

TimeVariablePointExpression
8.0ms
b
@inf
((/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (exp b) (* (exp (neg a)) (+ (exp b) (exp a))) (/ 1 (* (exp (neg a)) (+ (exp b) (exp a)))) (exp (neg a)) (neg a) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (+ (exp a) 1) (+ (exp b) (exp a)))
3.0ms
b
@-inf
((/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (exp b) (* (exp (neg a)) (+ (exp b) (exp a))) (/ 1 (* (exp (neg a)) (+ (exp b) (exp a)))) (exp (neg a)) (neg a) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (+ (exp a) 1) (+ (exp b) (exp a)))
3.0ms
a
@0
((/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (exp b) (* (exp (neg a)) (+ (exp b) (exp a))) (/ 1 (* (exp (neg a)) (+ (exp b) (exp a)))) (exp (neg a)) (neg a) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (+ (exp a) 1) (+ (exp b) (exp a)))
1.0ms
b
@0
((/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (exp b) (* (exp (neg a)) (+ (exp b) (exp a))) (/ 1 (* (exp (neg a)) (+ (exp b) (exp a)))) (exp (neg a)) (neg a) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (+ (exp a) 1) (+ (exp b) (exp a)))
1.0ms
a
@inf
((/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (exp b) (* (exp (neg a)) (+ (exp b) (exp a))) (/ 1 (* (exp (neg a)) (+ (exp b) (exp a)))) (exp (neg a)) (neg a) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (+ (exp a) 1) (+ (exp b) (exp a)))

simplify189.0ms (2.9%)

Memory
-25.1MiB live, 267.4MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02511227
17771143
230651107
080991030
Stop Event
1×iter limit
1×node limit
Counts
61 → 61
Calls
Call 1
Inputs
(/ 1 (+ 1 (exp b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ 1 (exp b))
(+ 1 (+ (exp b) (* a (+ 1 (* -1 (+ 1 (exp b)))))))
(+ 1 (+ (exp b) (* a (+ 1 (+ (* -1 (+ 1 (exp b))) (* a (- (* 1/2 (+ 1 (exp b))) 1/2)))))))
(+ 1 (+ (exp b) (* a (+ 1 (+ (* -1 (+ 1 (exp b))) (* a (- (+ (* 1/2 (+ 1 (exp b))) (* a (+ 1/6 (* -1/6 (+ 1 (exp b)))))) 1/2)))))))
(+ (* a (- (+ (* a (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (* a (- (* 1/6 (/ 1 (+ 1 (exp b)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (+ 1 (exp b))) (/ (* (- (* 1/2 (+ 1 (exp b))) 1/2) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
1
(+ 1 (* -1 a))
(+ 1 (* a (- (* 1/2 a) 1)))
(+ 1 (* a (- (* a (+ 1/2 (* -1/6 a))) 1)))
(* -1 a)
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(+ 1 (+ a (exp b)))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
2
(+ 2 a)
(+ 2 (* a (+ 1 (* 1/2 a))))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(/ (exp a) (+ (exp a) (exp b)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(exp (neg a))
(exp a)
(+ (exp a) (exp b))
(+ 1 (exp a))
(* (exp (* -1 a)) (+ (exp a) (exp b)))
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))
(exp (* -1 a))
(/ (exp a) (+ 1 (exp a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
1/2
(+ 1/2 (* -1/4 b))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(+ 1 b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(* (exp (neg a)) (+ 1 (exp a)))
(+ (* b (exp (neg a))) (* (exp (neg a)) (+ 1 (exp a))))
(+ (* b (+ (exp (neg a)) (* 1/2 (* b (exp (neg a)))))) (* (exp (neg a)) (+ 1 (exp a))))
(+ (* b (+ (exp (neg a)) (* b (+ (* 1/6 (* b (exp (neg a)))) (* 1/2 (exp (neg a))))))) (* (exp (neg a)) (+ 1 (exp a))))
(/ 1 (* (exp (neg a)) (+ 1 (exp a))))
(+ (* -1 (/ b (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
(+ (* b (- (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
(+ (* b (- (* b (- (+ (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (+ (* 1/6 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 4)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3)))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
(+ 1 (+ b (exp a)))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(exp b)
Outputs
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 (fma.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal -3/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 (fma.f64 (+.f64 (fma.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) #s(literal 1/6 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 4 binary64)))))) a (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal -3/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (+ (exp b) (* a (+ 1 (* -1 (+ 1 (exp b)))))))
(fma.f64 (+.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 b))) a (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ 1 (+ (exp b) (* a (+ 1 (+ (* -1 (+ 1 (exp b))) (* a (- (* 1/2 (+ 1 (exp b))) 1/2)))))))
(fma.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 b) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) a (+.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 b)))) a (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ 1 (+ (exp b) (* a (+ 1 (+ (* -1 (+ 1 (exp b))) (* a (- (+ (* 1/2 (+ 1 (exp b))) (* a (+ 1/6 (* -1/6 (+ 1 (exp b)))))) 1/2)))))))
(fma.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/6 binary64) a (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (fma.f64 #s(literal -1/6 binary64) a #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)) a (+.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 b)))) a (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ (* a (- (+ (* a (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 (fma.f64 (+.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 b))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (* a (- (* 1/6 (/ 1 (+ 1 (exp b)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (+ 1 (exp b))) (/ (* (- (* 1/2 (+ 1 (exp b))) 1/2) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 (+.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 (fma.f64 (+.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 b))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (+.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 b))) (*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 b) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))))) (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) a (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 (fma.f64 (+.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 b))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b))))) a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
1
#s(literal 1 binary64)
(+ 1 (* -1 a))
(-.f64 #s(literal 1 binary64) a)
(+ 1 (* a (- (* 1/2 a) 1)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64)) a #s(literal 1 binary64))
(+ 1 (* a (- (* a (+ 1/2 (* -1/6 a))) 1)))
(fma.f64 (-.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))
(* -1 a)
(neg.f64 a)
(+ 1 a)
(+.f64 #s(literal 1 binary64) a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))
(+ 1 (+ a (exp b)))
(+.f64 (+.f64 (exp.f64 b) a) #s(literal 1 binary64))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) (exp.f64 b)))
2
#s(literal 2 binary64)
(+ 2 a)
(+.f64 #s(literal 2 binary64) a)
(+ 2 (* a (+ 1 (* 1/2 a))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(fma.f64 (exp.f64 (neg.f64 a)) (exp.f64 b) #s(literal 1 binary64))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(exp (neg a))
(exp.f64 (neg.f64 a))
(exp a)
(exp.f64 a)
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(* (exp (* -1 a)) (+ (exp a) (exp b)))
(fma.f64 (exp.f64 (neg.f64 a)) (exp.f64 b) #s(literal 1 binary64))
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(exp (* -1 a))
(exp.f64 (neg.f64 a))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(/.f64 (+.f64 (/.f64 (*.f64 (neg.f64 b) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(fma.f64 (-.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (exp.f64 a) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) b) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) b (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (neg.f64 b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (/.f64 (neg.f64 (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 4 binary64)))) #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (exp.f64 a) (/.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 a) (/.f64 (neg.f64 (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) b) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) b (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 b))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) b) b) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))
(+ 2 b)
(+.f64 #s(literal 2 binary64) b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))
(+ 1 b)
(+.f64 #s(literal 1 binary64) b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64))
(* (exp (neg a)) (+ 1 (exp a)))
(-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64))
(+ (* b (exp (neg a))) (* (exp (neg a)) (+ 1 (exp a))))
(fma.f64 (+.f64 #s(literal 1 binary64) b) (exp.f64 (neg.f64 a)) #s(literal 1 binary64))
(+ (* b (+ (exp (neg a)) (* 1/2 (* b (exp (neg a)))))) (* (exp (neg a)) (+ 1 (exp a))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (exp.f64 (neg.f64 a))) b (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64)))
(+ (* b (+ (exp (neg a)) (* b (+ (* 1/6 (* b (exp (neg a)))) (* 1/2 (exp (neg a))))))) (* (exp (neg a)) (+ 1 (exp a))))
(fma.f64 (fma.f64 (/.f64 b (exp.f64 a)) (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (exp.f64 (neg.f64 a))) b (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64)))
(/ 1 (* (exp (neg a)) (+ 1 (exp a))))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ (* -1 (/ b (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
(/.f64 (+.f64 (/.f64 (*.f64 (neg.f64 b) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ (* b (- (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
(fma.f64 (-.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (exp.f64 a) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) b) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) b (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (* b (- (* b (- (+ (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (+ (* 1/6 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 4)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3)))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
(fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (/.f64 (+.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 #s(literal -1/6 binary64) (exp.f64 a))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 4 binary64)))) b (/.f64 (fma.f64 #s(literal -1/2 binary64) (exp.f64 a) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) b) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) b (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ 1 (+ b (exp a)))
(+.f64 (+.f64 b (exp.f64 a)) #s(literal 1 binary64))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(exp b)
(exp.f64 b)

rewrite164.0ms (2.5%)

Memory
26.0MiB live, 206.2MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02086
03186
111181
278680
0853180
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
13 → 620
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
(+.f64 (exp.f64 b) #s(literal 1 binary64))
(exp.f64 b)
(*.f64 (exp.f64 (neg.f64 a)) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 a)) (+.f64 (exp.f64 b) (exp.f64 a))))
(exp.f64 (neg.f64 a))
(neg.f64 a)
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(exp.f64 a)
#s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(+.f64 (exp.f64 a) #s(literal 1 binary64))
(+.f64 (exp.f64 b) (exp.f64 a))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64)) (expm1.f64 b))
(*.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (exp.f64 b) (exp.f64 b) (-.f64 #s(literal 1 binary64) (exp.f64 b))))
(*.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(pow.f64 (exp.f64 (log1p.f64 (exp.f64 b))) #s(literal -1 binary64))
(pow.f64 (*.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) (+.f64 (exp.f64 b) #s(literal 1 binary64))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 b)) (expm1.f64 (*.f64 #s(literal 2 binary64) b)))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 b) (exp.f64 b) (-.f64 #s(literal 1 binary64) (exp.f64 b)))) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64)) (expm1.f64 (*.f64 b #s(literal 3 binary64)))) (fma.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b) #s(literal 1 binary64)))
(/.f64 (*.f64 (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) b))) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
(/.f64 (*.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (exp.f64 b) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (+.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)) (exp.f64 b)))
(/.f64 (*.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (exp.f64 b) #s(literal 4 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)) (-.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))))))
(/.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 b #s(literal 3 binary64)))) (*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)) (fma.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) b))) (*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (exp.f64 b) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (*.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)) (exp.f64 b))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 b) #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (*.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 4 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)) (-.f64 (-.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) (exp.f64 b) #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))))
(fma.f64 (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64)) (cosh.f64 b) (*.f64 (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64)) (-.f64 (sinh.f64 b) #s(literal 1 binary64))))
(fma.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (*.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 b))))
(fma.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)) (pow.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)) (pow.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (cosh.f64 b) (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64)) (*.f64 (-.f64 (sinh.f64 b) #s(literal 1 binary64)) (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 b)) #s(literal -1 binary64)))
(+.f64 (*.f64 (cosh.f64 b) (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64))) (*.f64 (-.f64 (sinh.f64 b) #s(literal 1 binary64)) (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64))))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)) (pow.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(+.f64 (*.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)) (pow.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(+.f64 (*.f64 (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64)) (cosh.f64 b)) (*.f64 (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64)) (-.f64 (sinh.f64 b) #s(literal 1 binary64))))
(+.f64 (*.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 b))) (*.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))))
(+.f64 (*.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))) (*.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 b))))
(+.f64 (cosh.f64 (*.f64 (log1p.f64 (exp.f64 b)) #s(literal -1 binary64))) (sinh.f64 (*.f64 (log1p.f64 (exp.f64 b)) #s(literal -1 binary64))))
(*.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (expm1.f64 b)) (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (expm1.f64 b))) (*.f64 (pow.f64 (expm1.f64 b) #s(literal -1 binary64)) (pow.f64 (expm1.f64 b) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (expm1.f64 b)) (pow.f64 (expm1.f64 b) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 b)) (+.f64 #s(literal 1 binary64) (cosh.f64 b))) (pow.f64 (sinh.f64 b) #s(literal 2 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 b)) (sinh.f64 b)))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (fma.f64 (exp.f64 b) (exp.f64 b) (-.f64 #s(literal 1 binary64) (exp.f64 b)))) (/.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (fma.f64 (exp.f64 b) (exp.f64 b) (-.f64 #s(literal 1 binary64) (exp.f64 b))))) (*.f64 (pow.f64 (fma.f64 (exp.f64 b) (exp.f64 b) (-.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (exp.f64 b) (exp.f64 b) (-.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal -1 binary64)))) (-.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (fma.f64 (exp.f64 b) (exp.f64 b) (-.f64 #s(literal 1 binary64) (exp.f64 b)))) (pow.f64 (fma.f64 (exp.f64 b) (exp.f64 b) (-.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (cosh.f64 b) #s(literal 2 binary64)) (*.f64 (+.f64 (sinh.f64 b) #s(literal 1 binary64)) (+.f64 (sinh.f64 b) #s(literal 1 binary64)))) (-.f64 (cosh.f64 b) (+.f64 (sinh.f64 b) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (expm1.f64 b)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (expm1.f64 b) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (expm1.f64 b)) (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (expm1.f64 b)) (fma.f64 (pow.f64 (expm1.f64 b) #s(literal -1 binary64)) (pow.f64 (expm1.f64 b) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (expm1.f64 b)) (pow.f64 (expm1.f64 b) #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 b)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 b) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 b)) (+.f64 #s(literal 1 binary64) (cosh.f64 b)) (-.f64 (pow.f64 (sinh.f64 b) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 b)) (sinh.f64 b)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (fma.f64 (exp.f64 b) (exp.f64 b) (-.f64 #s(literal 1 binary64) (exp.f64 b)))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (exp.f64 b) (exp.f64 b) (-.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (fma.f64 (exp.f64 b) (exp.f64 b) (-.f64 #s(literal 1 binary64) (exp.f64 b)))) (/.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (fma.f64 (exp.f64 b) (exp.f64 b) (-.f64 #s(literal 1 binary64) (exp.f64 b)))) (-.f64 (*.f64 (pow.f64 (fma.f64 (exp.f64 b) (exp.f64 b) (-.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (exp.f64 b) (exp.f64 b) (-.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal -1 binary64))) (*.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (fma.f64 (exp.f64 b) (exp.f64 b) (-.f64 #s(literal 1 binary64) (exp.f64 b)))) (pow.f64 (fma.f64 (exp.f64 b) (exp.f64 b) (-.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 b) #s(literal 3 binary64)) (pow.f64 (+.f64 (sinh.f64 b) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 b) (cosh.f64 b) (-.f64 (*.f64 (+.f64 (sinh.f64 b) #s(literal 1 binary64)) (+.f64 (sinh.f64 b) #s(literal 1 binary64))) (*.f64 (cosh.f64 b) (+.f64 (sinh.f64 b) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)))) (neg.f64 (neg.f64 (expm1.f64 b))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) b)))) (expm1.f64 b))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (exp.f64 b) (exp.f64 b) (-.f64 #s(literal 1 binary64) (exp.f64 b))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 (exp.f64 b) (exp.f64 b) (-.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (expm1.f64 b)) (*.f64 (expm1.f64 b) #s(literal 1 binary64))) (*.f64 (expm1.f64 b) (expm1.f64 b)))
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(fma.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)))) #s(literal 1 binary64) (*.f64 (/.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)))) #s(literal 1 binary64)))
(fma.f64 (cosh.f64 b) #s(literal 1 binary64) (*.f64 (+.f64 (sinh.f64 b) (exp.f64 a)) #s(literal 1 binary64)))
(fma.f64 (cosh.f64 a) #s(literal 1 binary64) (*.f64 (+.f64 (sinh.f64 a) (exp.f64 b)) #s(literal 1 binary64)))
(fma.f64 (exp.f64 a) #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 b))))
(fma.f64 (exp.f64 a) #s(literal 1 binary64) (exp.f64 b))
(fma.f64 (exp.f64 b) #s(literal 1 binary64) (exp.f64 a))
(fma.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (cosh.f64 b)) (*.f64 #s(literal 1 binary64) (sinh.f64 b)))
(fma.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (cosh.f64 a)) (*.f64 #s(literal 1 binary64) (sinh.f64 a)))
(fma.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (fma.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (fma.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a) (pow.f64 (exp.f64 b) #s(literal 2 binary64))))))
(fma.f64 #s(literal 1 binary64) (/.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 #s(literal 1 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))))))
(fma.f64 #s(literal 1 binary64) (cosh.f64 b) (*.f64 #s(literal 1 binary64) (+.f64 (sinh.f64 b) (exp.f64 a))))
(fma.f64 #s(literal 1 binary64) (cosh.f64 a) (*.f64 #s(literal 1 binary64) (+.f64 (sinh.f64 a) (exp.f64 b))))
(fma.f64 #s(literal 1 binary64) (exp.f64 a) (neg.f64 (neg.f64 (exp.f64 b))))
(fma.f64 #s(literal 1 binary64) (exp.f64 a) (exp.f64 b))
(fma.f64 #s(literal 1 binary64) (exp.f64 b) (exp.f64 a))
(-.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 (exp.f64 b) (exp.f64 a))) (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (exp.f64 b) (exp.f64 a))))
(-.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b))))
(-.f64 (exp.f64 a) (neg.f64 (exp.f64 b)))
(-.f64 (exp.f64 b) (neg.f64 (exp.f64 a)))
(+.f64 (+.f64 (exp.f64 a) (sinh.f64 b)) (cosh.f64 b))
(+.f64 (+.f64 (exp.f64 b) (sinh.f64 a)) (cosh.f64 a))
(+.f64 (*.f64 (+.f64 (exp.f64 a) (cosh.f64 b)) #s(literal 1 binary64)) (*.f64 (sinh.f64 b) #s(literal 1 binary64)))
(+.f64 (*.f64 (+.f64 (exp.f64 b) (cosh.f64 a)) #s(literal 1 binary64)) (*.f64 (sinh.f64 a) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (fma.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) #s(literal 1 binary64)) (*.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (fma.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.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)))) #s(literal 1 binary64)) (*.f64 (/.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)))) #s(literal 1 binary64)))
(+.f64 (*.f64 (cosh.f64 a) #s(literal 1 binary64)) (*.f64 (+.f64 (sinh.f64 a) (exp.f64 b)) #s(literal 1 binary64)))
(+.f64 (*.f64 (cosh.f64 b) #s(literal 1 binary64)) (*.f64 (+.f64 (sinh.f64 b) (exp.f64 a)) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (cosh.f64 b))) (*.f64 #s(literal 1 binary64) (sinh.f64 b)))
(+.f64 (*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (cosh.f64 a))) (*.f64 #s(literal 1 binary64) (sinh.f64 a)))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (fma.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a) (pow.f64 (exp.f64 b) #s(literal 2 binary64))))) (*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (fma.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a) (pow.f64 (exp.f64 b) #s(literal 2 binary64))))))
(+.f64 (*.f64 #s(literal 1 binary64) (/.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 #s(literal 1 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 #s(literal 1 binary64) (cosh.f64 a)) (*.f64 #s(literal 1 binary64) (+.f64 (sinh.f64 a) (exp.f64 b))))
(+.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 b)) (*.f64 #s(literal 1 binary64) (+.f64 (sinh.f64 b) (exp.f64 a))))
(+.f64 (neg.f64 (neg.f64 (exp.f64 b))) (exp.f64 a))
(+.f64 (+.f64 (exp.f64 a) (cosh.f64 b)) (sinh.f64 b))
(+.f64 (+.f64 (exp.f64 b) (cosh.f64 a)) (sinh.f64 a))
(+.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (fma.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (/.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (fma.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (fma.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (/.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (fma.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))))
(+.f64 (/.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 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 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 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 (exp.f64 b) (exp.f64 a))) (/.f64 (neg.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (-.f64 (exp.f64 b) (exp.f64 a))))
(+.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (neg.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64))) (-.f64 (exp.f64 a) (exp.f64 b))))
(+.f64 (sinh.f64 b) (+.f64 (cosh.f64 b) (exp.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 (cosh.f64 a) (+.f64 (sinh.f64 a) (exp.f64 b)))
(+.f64 (exp.f64 a) (neg.f64 (neg.f64 (exp.f64 b))))
(+.f64 (exp.f64 a) (exp.f64 b))
(+.f64 (exp.f64 b) (exp.f64 a))

eval111.0ms (1.7%)

Memory
9.3MiB live, 153.2MiB allocated
Compiler

Compiled 21 540 to 2 898 computations (86.5% saved)

prune35.0ms (0.5%)

Memory
9.1MiB live, 55.1MiB allocated
Pruning

14 alts after pruning (12 fresh and 2 done)

PrunedKeptTotal
New77912791
Fresh000
Picked123
Done000
Total78014794
Accuracy
100.0%
Counts
794 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓64.7%
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
63.2%
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(literal 1 binary64))))
63.1%
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))))
63.2%
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
63.0%
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
▶62.4%
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
▶64.5%
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64))))
✓79.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
50.5%
#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)))))
▶45.5%
#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)))))
▶35.7%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
34.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #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))))
35.6%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
▶38.1%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
Compiler

Compiled 506 to 369 computations (27.1% saved)

simplify145.0ms (2.2%)

Memory
-24.2MiB live, 209.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

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

Useful iterations: 3 (0.0ms)

IterNodesCost
037215
051215
180211
2210211
3778209
45149209
08227209
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64))))
#s(literal 1 binary64)
#s(approx (* (exp (neg a)) (+ (exp b) (exp a))) (-.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(literal -1 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
#s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b)))
#s(literal 1 binary64)
#s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))
(+.f64 #s(literal 2 binary64) b)
#s(literal 2 binary64)
b
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))
#s(literal 1 binary64)
#s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
#s(literal 1/2 binary64)
b
#s(literal 2 binary64)
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
(exp.f64 a)
a
#s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))
#s(approx (+ (exp a) 1) #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64))))
#s(literal 1 binary64)
#s(approx (* (exp (neg a)) (+ (exp b) (exp a))) (-.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(literal -1 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
#s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b)))
#s(literal 1 binary64)
#s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))
(+.f64 #s(literal 2 binary64) b)
#s(literal 2 binary64)
b
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))
#s(literal 1 binary64)
#s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
#s(literal 1/2 binary64)
b
#s(literal 2 binary64)
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
(exp.f64 a)
a
#s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))
#s(approx (+ (exp a) 1) #s(literal 2 binary64))
#s(literal 2 binary64)

localize107.0ms (1.6%)

Memory
0.1MiB live, 201.9MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(exp.f64 a)
accuracy0.27343612397081396
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
accuracy15.594564115464072
#s(approx (+ (exp a) 1) #s(literal 2 binary64))
accuracy26.552013484328583
#s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))
accuracy0.0
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
accuracy0.0078125
(/.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))))
accuracy12.914028736400855
#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)))))
accuracy21.99145086108172
#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)
accuracy0.0078125
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b)))
accuracy12.914028736400855
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
accuracy28.394033363961267
#s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))
accuracy12.914028736400855
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
accuracy26.77705946683024
#s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))
accuracy0.0
(exp.f64 (neg.f64 a))
accuracy0.01953125
(-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64))
accuracy0.13318509887334146
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64))))
accuracy22.615083043992197
#s(approx (* (exp (neg a)) (+ (exp b) (exp a))) (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64)))
Samples
48.0ms256×0valid
Compiler

Compiled 131 to 26 computations (80.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-exp: 13.0ms (38.7% of total)
ival-add: 8.0ms (23.8% of total)
ival-div: 4.0ms (11.9% of total)
ival-mult: 4.0ms (11.9% of total)
ival-sub: 1.0ms (3% of total)
ival-neg: 1.0ms (3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
13.1MiB live, 13.0MiB allocated
Counts
19 → 69
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64))))
#s(approx (* (exp (neg a)) (+ (exp b) (exp a))) (-.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))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
(exp.f64 a)
#s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))
#s(approx (+ (exp a) 1) #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
Outputs
(/ 1 (+ 1 (exp b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (* a (- (* 1/6 (/ 1 (+ 1 (exp b)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (+ 1 (exp b))) (/ (* (- (* 1/2 (+ 1 (exp b))) 1/2) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ 1 (exp b))
(+ 1 (+ (exp b) (* a (+ 1 (* -1 (+ 1 (exp b)))))))
(+ 1 (+ (exp b) (* a (+ 1 (+ (* -1 (+ 1 (exp b))) (* a (- (* 1/2 (+ 1 (exp b))) 1/2)))))))
(+ 1 (+ (exp b) (* a (+ 1 (+ (* -1 (+ 1 (exp b))) (* a (- (+ (* 1/2 (+ 1 (exp b))) (* a (+ 1/6 (* -1/6 (+ 1 (exp b)))))) 1/2)))))))
2
(+ 2 (* -1 a))
(+ 2 (* a (- (* 1/2 a) 1)))
(+ 2 (* a (- (* a (+ 1/2 (* -1/6 a))) 1)))
1
(+ 1 (* -1 a))
(+ 1 (* a (- (* 1/2 a) 1)))
(+ 1 (* a (- (* a (+ 1/2 (* -1/6 a))) 1)))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(+ 1 (+ a (exp b)))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(+ 2 a)
(+ 2 (* a (+ 1 (* 1/2 a))))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(* (exp (neg a)) (+ (exp a) (exp b)))
(+ 1 (exp (neg a)))
(exp (neg a))
(/ (exp a) (+ (exp a) (exp b)))
(exp a)
(+ (exp a) (exp b))
(+ 1 (exp a))
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))
(* (exp (* -1 a)) (+ (exp a) (exp b)))
(+ 1 (exp (* -1 a)))
(exp (* -1 a))
(/ 1 (* (exp (neg a)) (+ 1 (exp a))))
(+ (* -1 (/ b (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
(+ (* b (- (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
(+ (* b (- (* b (- (+ (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (+ (* 1/6 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 4)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3)))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
(* (exp (neg a)) (+ 1 (exp a)))
(+ (* b (exp (neg a))) (* (exp (neg a)) (+ 1 (exp a))))
(+ (* b (+ (exp (neg a)) (* 1/2 (* b (exp (neg a)))))) (* (exp (neg a)) (+ 1 (exp a))))
(+ (* b (+ (exp (neg a)) (* b (+ (* 1/6 (* b (exp (neg a)))) (* 1/2 (exp (neg a))))))) (* (exp (neg a)) (+ 1 (exp a))))
(/ (exp a) (+ 1 (exp a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
1/2
(+ 1/2 (* -1/4 b))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(+ 1 (+ b (exp a)))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ 1 (* 1/2 b))
b
(* b (+ 1 (* 2 (/ 1 b))))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(* 1/2 b)
(* b (+ 1/2 (/ 1 b)))
Calls

6 calls:

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

simplify152.0ms (2.3%)

Memory
24.3MiB live, 210.6MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02651307
18331191
231971157
084341078
Stop Event
1×iter limit
1×node limit
Counts
69 → 68
Calls
Call 1
Inputs
(/ 1 (+ 1 (exp b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (* a (- (* 1/6 (/ 1 (+ 1 (exp b)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (+ 1 (exp b))) (/ (* (- (* 1/2 (+ 1 (exp b))) 1/2) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ 1 (exp b))
(+ 1 (+ (exp b) (* a (+ 1 (* -1 (+ 1 (exp b)))))))
(+ 1 (+ (exp b) (* a (+ 1 (+ (* -1 (+ 1 (exp b))) (* a (- (* 1/2 (+ 1 (exp b))) 1/2)))))))
(+ 1 (+ (exp b) (* a (+ 1 (+ (* -1 (+ 1 (exp b))) (* a (- (+ (* 1/2 (+ 1 (exp b))) (* a (+ 1/6 (* -1/6 (+ 1 (exp b)))))) 1/2)))))))
2
(+ 2 (* -1 a))
(+ 2 (* a (- (* 1/2 a) 1)))
(+ 2 (* a (- (* a (+ 1/2 (* -1/6 a))) 1)))
1
(+ 1 (* -1 a))
(+ 1 (* a (- (* 1/2 a) 1)))
(+ 1 (* a (- (* a (+ 1/2 (* -1/6 a))) 1)))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(+ 1 (+ a (exp b)))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(+ 2 a)
(+ 2 (* a (+ 1 (* 1/2 a))))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(* (exp (neg a)) (+ (exp a) (exp b)))
(+ 1 (exp (neg a)))
(exp (neg a))
(/ (exp a) (+ (exp a) (exp b)))
(exp a)
(+ (exp a) (exp b))
(+ 1 (exp a))
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))
(* (exp (* -1 a)) (+ (exp a) (exp b)))
(+ 1 (exp (* -1 a)))
(exp (* -1 a))
(/ 1 (* (exp (neg a)) (+ 1 (exp a))))
(+ (* -1 (/ b (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
(+ (* b (- (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
(+ (* b (- (* b (- (+ (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (+ (* 1/6 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 4)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3)))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
(* (exp (neg a)) (+ 1 (exp a)))
(+ (* b (exp (neg a))) (* (exp (neg a)) (+ 1 (exp a))))
(+ (* b (+ (exp (neg a)) (* 1/2 (* b (exp (neg a)))))) (* (exp (neg a)) (+ 1 (exp a))))
(+ (* b (+ (exp (neg a)) (* b (+ (* 1/6 (* b (exp (neg a)))) (* 1/2 (exp (neg a))))))) (* (exp (neg a)) (+ 1 (exp a))))
(/ (exp a) (+ 1 (exp a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
1/2
(+ 1/2 (* -1/4 b))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(+ 1 (+ b (exp a)))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ 1 (* 1/2 b))
b
(* b (+ 1 (* 2 (/ 1 b))))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(* 1/2 b)
(* b (+ 1/2 (/ 1 b)))
Outputs
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(+ (* a (- (+ (* a (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 (fma.f64 (+.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 b))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (* a (- (* 1/6 (/ 1 (+ 1 (exp b)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (+ 1 (exp b))) (/ (* (- (* 1/2 (+ 1 (exp b))) 1/2) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 b) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 (fma.f64 (+.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 b))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (+.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 b))))) (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) a (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 (fma.f64 (+.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 b))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b))))) a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (+ (exp b) (* a (+ 1 (* -1 (+ 1 (exp b)))))))
(fma.f64 (+.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 b))) a (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ 1 (+ (exp b) (* a (+ 1 (+ (* -1 (+ 1 (exp b))) (* a (- (* 1/2 (+ 1 (exp b))) 1/2)))))))
(fma.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 b) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) a (+.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 b)))) a (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ 1 (+ (exp b) (* a (+ 1 (+ (* -1 (+ 1 (exp b))) (* a (- (+ (* 1/2 (+ 1 (exp b))) (* a (+ 1/6 (* -1/6 (+ 1 (exp b)))))) 1/2)))))))
(fma.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/6 binary64) (exp.f64 b))) a (-.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 b) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) a (+.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 b)))) a (+.f64 #s(literal 1 binary64) (exp.f64 b)))
2
#s(literal 2 binary64)
(+ 2 (* -1 a))
(-.f64 #s(literal 2 binary64) a)
(+ 2 (* a (- (* 1/2 a) 1)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64)) a #s(literal 2 binary64))
(+ 2 (* a (- (* a (+ 1/2 (* -1/6 a))) 1)))
(fma.f64 (-.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))
1
#s(literal 1 binary64)
(+ 1 (* -1 a))
(-.f64 #s(literal 1 binary64) a)
(+ 1 (* a (- (* 1/2 a) 1)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64)) a #s(literal 1 binary64))
(+ 1 (* a (- (* a (+ 1/2 (* -1/6 a))) 1)))
(fma.f64 (-.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))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 (fma.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal -3/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 (fma.f64 (+.f64 (fma.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) #s(literal 1/6 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 4 binary64)))))) a (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal -3/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(+ 1 a)
(+.f64 #s(literal 1 binary64) a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))
(+ 1 (+ a (exp b)))
(+.f64 (+.f64 (exp.f64 b) a) #s(literal 1 binary64))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ 2 a)
(+.f64 #s(literal 2 binary64) a)
(+ 2 (* a (+ 1 (* 1/2 a))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(fma.f64 (exp.f64 b) (exp.f64 (neg.f64 a)) #s(literal 1 binary64))
(+ 1 (exp (neg a)))
(-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64))
(exp (neg a))
(exp.f64 (neg.f64 a))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(exp a)
(exp.f64 a)
(+ (exp a) (exp b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(* (exp (* -1 a)) (+ (exp a) (exp b)))
(fma.f64 (exp.f64 b) (exp.f64 (neg.f64 a)) #s(literal 1 binary64))
(+ 1 (exp (* -1 a)))
(-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64))
(exp (* -1 a))
(exp.f64 (neg.f64 a))
(/ 1 (* (exp (neg a)) (+ 1 (exp a))))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ (* -1 (/ b (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
(/.f64 (+.f64 (/.f64 (*.f64 (neg.f64 b) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ (* b (- (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
(fma.f64 (-.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (exp.f64 a) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) b) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) b (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (* b (- (* b (- (+ (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (+ (* 1/6 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 4)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3)))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
(fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (/.f64 (+.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 #s(literal -1/6 binary64) (exp.f64 a))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 4 binary64)))) b (/.f64 (fma.f64 #s(literal -1/2 binary64) (exp.f64 a) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) b) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) b (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(* (exp (neg a)) (+ 1 (exp a)))
(-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64))
(+ (* b (exp (neg a))) (* (exp (neg a)) (+ 1 (exp a))))
(fma.f64 (+.f64 #s(literal 1 binary64) b) (exp.f64 (neg.f64 a)) #s(literal 1 binary64))
(+ (* b (+ (exp (neg a)) (* 1/2 (* b (exp (neg a)))))) (* (exp (neg a)) (+ 1 (exp a))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (exp.f64 (neg.f64 a))) b (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64)))
(+ (* b (+ (exp (neg a)) (* b (+ (* 1/6 (* b (exp (neg a)))) (* 1/2 (exp (neg a))))))) (* (exp (neg a)) (+ 1 (exp a))))
(fma.f64 (fma.f64 (*.f64 (exp.f64 (neg.f64 a)) (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))) b (exp.f64 (neg.f64 a))) b (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(/.f64 (+.f64 (/.f64 (*.f64 (neg.f64 b) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(fma.f64 (-.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (exp.f64 a) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) b) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) b (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (neg.f64 b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (/.f64 (neg.f64 (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 4 binary64)))) #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (exp.f64 a) (/.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 a) (/.f64 (neg.f64 (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) b) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) b (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 b))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) b) b) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))
(+ 2 b)
(-.f64 b #s(literal -2 binary64))
(+ 2 (* b (+ 1 (* 1/2 b))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))
(+ 1 (+ b (exp a)))
(+.f64 (+.f64 (exp.f64 a) b) #s(literal 1 binary64))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ 1 (* 1/2 b))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
b
(* b (+ 1 (* 2 (/ 1 b))))
(-.f64 b #s(literal -2 binary64))
(* 1/2 (pow b 2))
(*.f64 (*.f64 #s(literal 1/2 binary64) b) b)
(* (pow b 2) (+ 1/2 (/ 1 b)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(*.f64 b (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b)) b #s(literal 1 binary64)))
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* b (+ 1/2 (/ 1 b)))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))

rewrite202.0ms (3.1%)

Memory
-6.9MiB live, 232.6MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
037200
051200
1184196
21276194
08161194
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
19 → 227
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64))))
#s(approx (* (exp (neg a)) (+ (exp b) (exp a))) (-.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))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
(exp.f64 a)
#s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))
#s(approx (+ (exp a) 1) #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
Outputs
(*.f64 (neg.f64 (pow.f64 #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64))) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64))) #s(literal -1/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64))) #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64))) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64))) #s(literal -1/2 binary64)) (pow.f64 #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64))) #s(literal -1/2 binary64)))
(pow.f64 (exp.f64 (log.f64 #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64))))) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64))) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64)))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64))))) #s(literal -1 binary64))
(pow.f64 #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64)))) #s(literal -1 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64)))) #s(literal -1 binary64))) (sinh.f64 (*.f64 (log.f64 #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64)))) #s(literal -1 binary64))))
#s(approx (* (exp (neg a)) (+ (exp b) (exp a))) (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal -2 binary64)) (+.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 a)))) (/.f64 (pow.f64 (exp.f64 a) #s(literal -2 binary64)) (+.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 a))))) (*.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 a))) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 a))) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal -2 binary64)) (+.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 a)))) (pow.f64 (+.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 a))) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 a)))) (/.f64 (pow.f64 (exp.f64 a) #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 a))))) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 a)))) (/.f64 #s(literal -1 binary64) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 a)))))) (+.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 a)))) (/.f64 #s(literal -1 binary64) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 a))))))
(/.f64 (-.f64 (pow.f64 (cosh.f64 a) #s(literal 2 binary64)) (*.f64 (+.f64 (sinh.f64 a) #s(literal -1 binary64)) (+.f64 (sinh.f64 a) #s(literal -1 binary64)))) (+.f64 (cosh.f64 a) (+.f64 (sinh.f64 a) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (cosh.f64 a) #s(literal 2 binary64)) (*.f64 (-.f64 (sinh.f64 (neg.f64 a)) #s(literal -1 binary64)) (-.f64 (sinh.f64 (neg.f64 a)) #s(literal -1 binary64)))) (-.f64 (cosh.f64 a) (-.f64 (sinh.f64 (neg.f64 a)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal -2 binary64)) (+.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 a)))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 a))) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal -2 binary64)) (+.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 a)))) (/.f64 (pow.f64 (exp.f64 a) #s(literal -2 binary64)) (+.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 a)))) (fma.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 a))) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 a))) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal -2 binary64)) (+.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 a)))) (pow.f64 (+.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 a))) #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 a)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 a)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 a)))) (/.f64 (pow.f64 (exp.f64 a) #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 a)))) (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 a)))) (/.f64 #s(literal -1 binary64) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 a)))) (*.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 a)))) (/.f64 #s(literal -1 binary64) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 a))))))))
(/.f64 (-.f64 (pow.f64 (cosh.f64 a) #s(literal 3 binary64)) (pow.f64 (+.f64 (sinh.f64 a) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 a) (cosh.f64 a) (fma.f64 (+.f64 (sinh.f64 a) #s(literal -1 binary64)) (+.f64 (sinh.f64 a) #s(literal -1 binary64)) (*.f64 (cosh.f64 a) (+.f64 (sinh.f64 a) #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 a) #s(literal 3 binary64)) (pow.f64 (-.f64 (sinh.f64 (neg.f64 a)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 a) (cosh.f64 a) (-.f64 (*.f64 (-.f64 (sinh.f64 (neg.f64 a)) #s(literal -1 binary64)) (-.f64 (sinh.f64 (neg.f64 a)) #s(literal -1 binary64))) (*.f64 (cosh.f64 a) (-.f64 (sinh.f64 (neg.f64 a)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 (neg.f64 a) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 a))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal -3 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 a))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 a) #s(literal -2 binary64)) (+.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 a)))) (*.f64 (+.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 a))) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 a))) (+.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 a)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 a) #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 a)))) (*.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal -1 binary64))) (*.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 a))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 a)))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (neg.f64 a) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 a)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal -3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 a)))))
(/.f64 (expm1.f64 (*.f64 (neg.f64 a) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 a))))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal -3 binary64)) #s(literal -1 binary64)) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 a))))
(-.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal -2 binary64)) (+.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 a)))) (pow.f64 (+.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 a))) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 a)))) (/.f64 #s(literal -1 binary64) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (exp.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 (cosh.f64 a) (-.f64 (sinh.f64 (neg.f64 a)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (exp.f64 a) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 a) #s(literal -1/2 binary64)))
(*.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 (pow.f64 (sinh.f64 a) #s(literal 2 binary64)) (pow.f64 (cosh.f64 a) #s(literal 2 binary64))) (-.f64 (sinh.f64 (neg.f64 a)) (cosh.f64 a)))
(/.f64 (+.f64 (neg.f64 (pow.f64 (sinh.f64 a) #s(literal 3 binary64))) (pow.f64 (cosh.f64 a) #s(literal 3 binary64))) (fma.f64 (sinh.f64 a) (sinh.f64 a) (-.f64 (pow.f64 (cosh.f64 a) #s(literal 2 binary64)) (*.f64 (sinh.f64 (neg.f64 a)) (cosh.f64 a)))))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 a) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 a)))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 a)) (*.f64 #s(literal 2 binary64) (cosh.f64 a))) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cosh.f64 a) #s(literal 3 binary64)) (pow.f64 (sinh.f64 a) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cosh.f64 a) (cosh.f64 a) (fma.f64 (sinh.f64 a) (sinh.f64 a) (*.f64 (cosh.f64 a) (sinh.f64 a))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cosh.f64 a) #s(literal 3 binary64)) (neg.f64 (pow.f64 (sinh.f64 a) #s(literal 3 binary64))))) (neg.f64 (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 (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 (neg.f64 a))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 a))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.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 (-.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)) (neg.f64 (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 (neg.f64 a))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 a)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 a))))
(/.f64 #s(literal 1 binary64) (exp.f64 a))
(-.f64 (/.f64 (pow.f64 (cosh.f64 a) #s(literal 2 binary64)) (exp.f64 a)) (/.f64 (pow.f64 (sinh.f64 a) #s(literal 2 binary64)) (exp.f64 a)))
(-.f64 (/.f64 (pow.f64 (cosh.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 (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 (cosh.f64 a) (sinh.f64 a))
(exp.f64 (*.f64 a #s(literal -1 binary64)))
(exp.f64 (neg.f64 a))
(+.f64 (/.f64 (pow.f64 (cosh.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 (neg.f64 (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 (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 (neg.f64 (pow.f64 #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1/2 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)))
(pow.f64 (exp.f64 (log.f64 #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b)))) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b)) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.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 (neg.f64 (neg.f64 #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))))
(/.f64 #s(literal -1 binary64) (neg.f64 #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
(/.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) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b)))
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#s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))
#s(approx (+ (exp a) 1) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64)))) (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64))) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) b) (*.f64 #s(literal -1/2 binary64) b))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) b)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 b) #s(literal 1/2 binary64)) (*.f64 (neg.f64 b) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 b) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) 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 (pow.f64 (*.f64 #s(literal 1/2 binary64) 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 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) #s(literal -1 binary64)))) (-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) 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)))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64))) (fma.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64))) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64)) #s(literal -1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) b) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) b) (*.f64 #s(literal -1/2 binary64) b) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) b)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 b) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 b) #s(literal 1/2 binary64)) (*.f64 (neg.f64 b) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 b) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) 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)))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) 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 (pow.f64 (*.f64 #s(literal 1/2 binary64) 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 (*.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) #s(literal -1 binary64))) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) 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)))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64))))
(/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) 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 (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) #s(literal -1 binary64))) (neg.f64 (-.f64 (*.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 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b)))))
(/.f64 (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)) (-.f64 (*.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 (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (*.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 #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 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64))) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) b))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 b) #s(literal 1/2 binary64)))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b)))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b)))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b)))))
(+.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) 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 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) 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)))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.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))

eval62.0ms (0.9%)

Memory
-25.5MiB live, 64.0MiB allocated
Compiler

Compiled 10 383 to 1 445 computations (86.1% saved)

prune22.0ms (0.3%)

Memory
3.2MiB live, 47.9MiB allocated
Pruning

24 alts after pruning (17 fresh and 7 done)

PrunedKeptTotal
New27611287
Fresh167
Picked055
Done022
Total27724301
Accuracy
100.0%
Counts
301 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓64.7%
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
▶63.2%
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(literal 1 binary64))))
63.1%
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))))
63.2%
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
✓62.4%
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
37.7%
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
37.7%
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
37.8%
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
✓64.5%
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64))))
54.9%
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) (-.f64 #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(literal -1 binary64))))
54.9%
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) #s(approx (- (exp (neg a)) -1) (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)))))
51.2%
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) #s(approx (- (exp (neg a)) -1) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64)) a #s(literal 2 binary64)))))
39.1%
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) #s(approx (- (exp (neg a)) -1) (-.f64 #s(literal 2 binary64) a))))
✓79.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
▶50.5%
#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)))))
✓45.5%
#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)))))
42.5%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))) b) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))) b))) (+.f64 #s(literal 2 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))) b))))))
✓35.7%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
13.0%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)))))
▶13.3%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) b) b)))))
▶39.7%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 b (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b)) b #s(literal 1 binary64)))))))
34.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #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))))
▶35.6%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
✓38.1%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
Compiler

Compiled 1 015 to 706 computations (30.4% saved)

simplify150.0ms (2.3%)

Memory
-0.8MiB live, 298.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
048455
075455
1117455
2249455
3743455
42645439
08608412
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(literal 1 binary64))))
(exp.f64 a)
a
#s(approx (+ (exp a) (exp b)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(literal 1 binary64)))
(+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
#s(literal -1/4 binary64)
b
#s(literal 1/2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) b) b)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #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 #s(literal 1/2 binary64) b) b)))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) b) b))
(*.f64 (*.f64 #s(literal 1/2 binary64) b) b)
(*.f64 #s(literal 1/2 binary64) b)
#s(literal 1/2 binary64)
b
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))
#s(literal 1 binary64)
#s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
b
#s(literal 1/2 binary64)
#s(literal 2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 b (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b)) b #s(literal 1 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 b (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b)) b #s(literal 1 binary64))))))
#s(literal 1 binary64)
#s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 b (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b)) b #s(literal 1 binary64)))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 b (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b)) b #s(literal 1 binary64))))
(*.f64 b (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b)) b #s(literal 1 binary64)))
b
(fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b)) b #s(literal 1 binary64))
(+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b))
#s(literal 1/2 binary64)
(/.f64 (/.f64 #s(literal 2 binary64) b) b)
(/.f64 #s(literal 2 binary64) b)
#s(literal 2 binary64)
Outputs
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(literal 1 binary64))))
(exp.f64 a)
a
#s(approx (+ (exp a) (exp b)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(literal 1 binary64)))
(+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
#s(literal -1/4 binary64)
b
#s(literal 1/2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) b) b)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #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 #s(literal 1/2 binary64) b) b)))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) b) b))
(*.f64 (*.f64 #s(literal 1/2 binary64) b) b)
(*.f64 #s(literal 1/2 binary64) b)
#s(literal 1/2 binary64)
b
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))
#s(literal 1 binary64)
#s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
b
#s(literal 1/2 binary64)
#s(literal 2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 b (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b)) b #s(literal 1 binary64)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (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) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 b (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b)) b #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #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(literal 1 binary64)
#s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 b (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b)) b #s(literal 1 binary64)))))
#s(approx (+ (exp b) 1) #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 (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 b (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b)) b #s(literal 1 binary64))))
#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)))
(*.f64 b (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b)) b #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))
b
(fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b)) b #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) b (-.f64 (/.f64 #s(literal 2 binary64) b) #s(literal -1 binary64)))
(+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b))
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 b b)))
#s(literal 1/2 binary64)
(/.f64 (/.f64 #s(literal 2 binary64) b) b)
(/.f64 #s(literal 2 binary64) b)
#s(literal 2 binary64)

localize237.0ms (3.6%)

Memory
3.2MiB live, 337.3MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.32811949386619266
(*.f64 b (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b)) b #s(literal 1 binary64)))
accuracy12.914028736400855
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 b (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b)) b #s(literal 1 binary64)))))))
accuracy17.018997678817207
(fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b)) b #s(literal 1 binary64))
accuracy21.99145086108172
#s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 b (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b)) b #s(literal 1 binary64)))))
accuracy0.05859375
(fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))
accuracy0.1640625
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
accuracy12.914028736400855
#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)))))
accuracy19.037674877047625
#s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
accuracy0.0078125
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) b) b))))
accuracy12.914028736400855
#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)))))
accuracy21.99145086108172
#s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) b) b)))
accuracy33.850648380921996
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) b) b))
accuracy0.0
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
accuracy12.914028736400855
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
accuracy28.309913909855986
#s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
accuracy0.01953125
(+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(literal 1 binary64))
accuracy0.27343612397081396
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(literal 1 binary64))))
accuracy17.37771312026406
#s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
accuracy26.552013484328583
#s(approx (+ (exp a) (exp b)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(literal 1 binary64)))
Samples
197.0ms256×0valid
Compiler

Compiled 220 to 39 computations (82.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 168.0ms
ival-add: 82.0ms (48.7% of total)
ival-mult: 62.0ms (36.8% of total)
ival-div: 12.0ms (7.1% of total)
ival-exp: 6.0ms (3.6% of total)
const: 5.0ms (3% of total)
exact: 1.0ms (0.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory
26.3MiB live, 26.3MiB allocated
Counts
23 → 61
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(literal 1 binary64))))
(exp.f64 a)
#s(approx (+ (exp a) (exp b)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(literal 1 binary64)))
(+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) b) b)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) b) b))))
#s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) b) b)))
#s(approx (+ (* (+ (* 1/2 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) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))
#s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))
(*.f64 b (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b)) b #s(literal 1 binary64)))
(fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b)) b #s(literal 1 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 b (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b)) b #s(literal 1 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 b (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b)) b #s(literal 1 binary64))))))
#s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))
#s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 b (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b)) b #s(literal 1 binary64)))))
Outputs
(/ 1 (+ 1 (exp b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(+ 1 (exp b))
(+ 1 (+ a (exp b)))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
2
(+ 2 a)
(+ 2 (* a (+ 1 (* 1/2 a))))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(/ (exp a) (+ (exp a) (exp b)))
(exp a)
(+ (exp a) (exp b))
(+ 1 (exp a))
(/ (exp a) (+ 1 (exp a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(+ 1 (+ b (exp a)))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
1/2
(+ 1/2 (* -1/4 b))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(/ 2 b)
(/ (+ 2 b) b)
(/ (+ 2 (* b (+ 1 (* 1/2 b)))) b)
(+ 1/2 (* 1/6 b))
(+ 1 (* 1/2 b))
(+ 1 (* b (+ 1/2 (* 1/6 b))))
(* -1/4 b)
(* b (- (* 1/2 (/ 1 b)) 1/4))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(* 1/6 (pow b 3))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (* 2 (/ 1 (pow b 3)))))))
(* 1/2 b)
(* b (+ 1/2 (/ 1 b)))
(* b (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(* 1/6 b)
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(* 1/6 (pow b 2))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))) b)) 1/6)))
(* -1 (* b (- (* -1 (/ (+ 1 (* 2 (/ 1 b))) b)) 1/2)))
Calls

6 calls:

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

simplify168.0ms (2.6%)

Memory
-16.6MiB live, 266.7MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0194801
1610773
22192737
08794681
Stop Event
1×iter limit
1×node limit
Counts
61 → 61
Calls
Call 1
Inputs
(/ 1 (+ 1 (exp b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(+ 1 (exp b))
(+ 1 (+ a (exp b)))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
2
(+ 2 a)
(+ 2 (* a (+ 1 (* 1/2 a))))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(/ (exp a) (+ (exp a) (exp b)))
(exp a)
(+ (exp a) (exp b))
(+ 1 (exp a))
(/ (exp a) (+ 1 (exp a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(+ 1 (+ b (exp a)))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
1/2
(+ 1/2 (* -1/4 b))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(/ 2 b)
(/ (+ 2 b) b)
(/ (+ 2 (* b (+ 1 (* 1/2 b)))) b)
(+ 1/2 (* 1/6 b))
(+ 1 (* 1/2 b))
(+ 1 (* b (+ 1/2 (* 1/6 b))))
(* -1/4 b)
(* b (- (* 1/2 (/ 1 b)) 1/4))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(* 1/6 (pow b 3))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (* 2 (/ 1 (pow b 3)))))))
(* 1/2 b)
(* b (+ 1/2 (/ 1 b)))
(* b (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(* 1/6 b)
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(* 1/6 (pow b 2))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))) b)) 1/6)))
(* -1 (* b (- (* -1 (/ (+ 1 (* 2 (/ 1 b))) b)) 1/2)))
Outputs
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 (fma.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal -3/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) #s(literal 1/6 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 4 binary64)))))) a (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal -3/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))) a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
1
#s(literal 1 binary64)
(+ 1 a)
(+.f64 #s(literal 1 binary64) a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (+ a (exp b)))
(+.f64 (+.f64 (exp.f64 b) a) #s(literal 1 binary64))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) (exp.f64 b)))
2
#s(literal 2 binary64)
(+ 2 a)
(+.f64 #s(literal 2 binary64) a)
(+ 2 (* a (+ 1 (* 1/2 a))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(exp a)
(exp.f64 a)
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(/.f64 (+.f64 (/.f64 (*.f64 (neg.f64 b) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(fma.f64 (-.f64 (*.f64 (neg.f64 b) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) b (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (neg.f64 b) (fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1/6 binary64)) (neg.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1/2 binary64)))))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))) b) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) b (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ 1 (+ b (exp a)))
(+.f64 (+.f64 b (exp.f64 a)) #s(literal 1 binary64))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 b))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
(fma.f64 (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal -1/480 binary64) (-.f64 (*.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64))) b #s(literal 1/2 binary64))
(+ 2 b)
(+.f64 #s(literal 2 binary64) b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))
(/ 2 b)
(/.f64 #s(literal 2 binary64) b)
(/ (+ 2 b) b)
(/.f64 (+.f64 #s(literal 2 binary64) b) b)
(/ (+ 2 (* b (+ 1 (* 1/2 b)))) b)
(fma.f64 #s(literal 1/2 binary64) b (/.f64 (+.f64 #s(literal 2 binary64) b) b))
(+ 1/2 (* 1/6 b))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
(+ 1 (* 1/2 b))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
(+ 1 (* b (+ 1/2 (* 1/6 b))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* b (- (* 1/2 (/ 1 b)) 1/4))
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/4 binary64)) b)
(* 1/2 (pow b 2))
(*.f64 (*.f64 b b) #s(literal 1/2 binary64))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))
(* 1/6 (pow b 3))
(*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/6 binary64))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) b)
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b)
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (* 2 (/ 1 (pow b 3)))))))
(fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/6 binary64)) (/.f64 #s(literal -2 binary64) (pow.f64 b #s(literal 3 binary64)))) (pow.f64 b #s(literal 3 binary64)) b)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* b (+ 1/2 (/ 1 b)))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
(* b (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(fma.f64 #s(literal 1/2 binary64) b (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) b) #s(literal 1 binary64)))
(* 1/6 b)
(*.f64 #s(literal 1/6 binary64) b)
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
(* 1/6 (pow b 2))
(*.f64 (*.f64 b b) #s(literal 1/6 binary64))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b)
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))
(* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))
(*.f64 (pow.f64 (neg.f64 b) #s(literal 3 binary64)) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1/2 binary64)) b) #s(literal 1/6 binary64)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))) b)) 1/6)))
(*.f64 (pow.f64 (neg.f64 b) #s(literal 3 binary64)) (-.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) b) #s(literal -1 binary64)) b) #s(literal -1/2 binary64)) b) #s(literal 1/6 binary64)))
(* -1 (* b (- (* -1 (/ (+ 1 (* 2 (/ 1 b))) b)) 1/2)))
(*.f64 (neg.f64 b) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) b) #s(literal -1 binary64)) b) #s(literal 1/2 binary64)))

rewrite220.0ms (3.4%)

Memory
24.1MiB live, 348.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048381
075381
1284381
21981381
08869367
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
23 → 281
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(literal 1 binary64))))
(exp.f64 a)
#s(approx (+ (exp a) (exp b)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(literal 1 binary64)))
(+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) b) b)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) b) b))))
#s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) b) b)))
#s(approx (+ (* (+ (* 1/2 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) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))
#s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))
(*.f64 b (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b)) b #s(literal 1 binary64)))
(fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b)) b #s(literal 1 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 b (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b)) b #s(literal 1 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 b (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b)) b #s(literal 1 binary64))))))
#s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))
#s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 b (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b)) b #s(literal 1 binary64)))))
Outputs
(/.f64 (+.f64 (pow.f64 (/.f64 (cosh.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (sinh.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (cosh.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(literal 1 binary64)))) (/.f64 (cosh.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(literal 1 binary64)))) (-.f64 (*.f64 (/.f64 (sinh.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(literal 1 binary64)))) (/.f64 (sinh.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(literal 1 binary64))))) (*.f64 (/.f64 (cosh.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(literal 1 binary64)))) (/.f64 (sinh.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(literal 1 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (exp.f64 a)))) (neg.f64 (neg.f64 (neg.f64 #s(approx (+ (exp a) (exp b)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(literal 1 binary64)))))))
(/.f64 (fma.f64 (cosh.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 #s(approx (+ (exp a) (exp b)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(literal 1 binary64))) (sinh.f64 a))) (*.f64 #s(approx (+ (exp a) (exp b)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (exp.f64 a))) (neg.f64 (neg.f64 #s(approx (+ (exp a) (exp b)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (exp.f64 a)) (neg.f64 #s(approx (+ (exp a) (exp b)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(literal 1 binary64)))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(literal 1 binary64))))
(neg.f64 (/.f64 (neg.f64 (exp.f64 a)) #s(approx (+ (exp a) (exp b)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(literal 1 binary64)))))
(neg.f64 (/.f64 (exp.f64 a) (neg.f64 #s(approx (+ (exp a) (exp b)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(literal 1 binary64))))))
(+.f64 (/.f64 (sinh.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(literal 1 binary64)))) (/.f64 (cosh.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(literal 1 binary64)))))
(+.f64 (/.f64 (cosh.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(literal 1 binary64)))) (/.f64 (sinh.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (sinh.f64 a) #s(literal 3 binary64)) (pow.f64 (cosh.f64 a) #s(literal 3 binary64))) (fma.f64 (sinh.f64 a) (sinh.f64 a) (-.f64 (pow.f64 (cosh.f64 a) #s(literal 2 binary64)) (*.f64 (sinh.f64 a) (cosh.f64 a)))))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 a) (*.f64 #s(literal 2 binary64) (cosh.f64 a))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 a) (*.f64 #s(literal 2 binary64) (sinh.f64 a))) #s(literal 2 binary64))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cosh.f64 a) #s(literal 3 binary64)) (pow.f64 (sinh.f64 a) #s(literal 3 binary64)))) (neg.f64 (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 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 a)))) #s(literal 4 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 (+.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 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 a))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
(-.f64 (/.f64 (pow.f64 (cosh.f64 a) #s(literal 2 binary64)) (exp.f64 (neg.f64 a))) (/.f64 (pow.f64 (sinh.f64 a) #s(literal 2 binary64)) (exp.f64 (neg.f64 a))))
(exp.f64 a)
(+.f64 (/.f64 (pow.f64 (cosh.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 (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 (sinh.f64 a) (cosh.f64 a))
(+.f64 (cosh.f64 a) (sinh.f64 a))
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#s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) b) b) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b)))

eval109.0ms (1.7%)

Memory
-7.8MiB live, 84.1MiB allocated
Compiler

Compiled 16 457 to 1 905 computations (88.4% saved)

prune466.0ms (7.1%)

Memory
-148.1MiB live, 102.4MiB allocated
Pruning

30 alts after pruning (19 fresh and 11 done)

PrunedKeptTotal
New3289337
Fresh21012
Picked145
Done077
Total33130361
Accuracy
100.0%
Counts
361 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓64.7%
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
✓62.4%
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
37.7%
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
38.6%
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(literal 1 binary64))))
37.7%
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
50.9%
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(literal 1 binary64))))
37.8%
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
50.4%
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (+ (exp a) (exp b)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(literal 1 binary64))))
✓64.5%
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64))))
54.9%
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) (-.f64 #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(literal -1 binary64))))
54.9%
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) #s(approx (- (exp (neg a)) -1) (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)))))
51.2%
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) #s(approx (- (exp (neg a)) -1) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64)) a #s(literal 2 binary64)))))
39.1%
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) #s(approx (- (exp (neg a)) -1) (-.f64 #s(literal 2 binary64) a))))
✓79.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
✓50.5%
#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)))))
✓45.5%
#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)))))
50.0%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64)))))
42.5%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))) b) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))) b))) (+.f64 #s(literal 2 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))) b))))))
✓35.7%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
18.0%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b)))))
18.2%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) b)))))
13.0%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)))))
✓13.3%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) b) b)))))
✓39.7%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 b (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b)) b #s(literal 1 binary64)))))))
38.4%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 b #s(approx (+ (* (+ 1/2 (/ (/ 2 b) b)) b) 1) (/.f64 #s(literal 2 binary64) b)))))))
34.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #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))))
✓35.6%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
35.5%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/4 binary64)) b))))
4.1%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
✓38.1%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
Compiler

Compiled 1 681 to 751 computations (55.3% saved)

regimes50.0ms (0.8%)

Memory
10.3MiB live, 96.8MiB allocated
Counts
36 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) #s(approx (- (exp (neg a)) -1) (-.f64 #s(literal 2 binary64) a))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/4 binary64)) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #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 (/ (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 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) #s(approx (- (exp (neg a)) -1) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64)) a #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (+ (exp a) (exp b)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 b #s(approx (+ (* (+ 1/2 (/ (/ 2 b) b)) 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) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) #s(approx (- (exp (neg a)) -1) (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)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) (-.f64 #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(literal -1 binary64))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 b (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b)) b #s(literal 1 binary64)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))) b) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))) b))) (+.f64 #s(literal 2 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))) b))))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 a)) (+.f64 (exp.f64 b) (exp.f64 a))))
Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Calls

5 calls:

14.0ms
a
10.0ms
(exp.f64 a)
10.0ms
b
7.0ms
(exp.f64 b)
7.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
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)

regimes56.0ms (0.9%)

Memory
-11.1MiB live, 84.4MiB allocated
Counts
34 → 3
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) #s(approx (- (exp (neg a)) -1) (-.f64 #s(literal 2 binary64) a))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/4 binary64)) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #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 (/ (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 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) #s(approx (- (exp (neg a)) -1) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64)) a #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (+ (exp a) (exp b)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 b #s(approx (+ (* (+ 1/2 (/ (/ 2 b) b)) 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) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) #s(approx (- (exp (neg a)) -1) (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)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) (-.f64 #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(literal -1 binary64))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 b (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b)) b #s(literal 1 binary64)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))) b) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))) b))) (+.f64 #s(literal 2 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))) b))))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
Calls

5 calls:

22.0ms
a
9.0ms
(exp.f64 b)
9.0ms
b
7.0ms
(exp.f64 a)
7.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Results
AccuracySegmentsBranch
100.0%3(exp.f64 b)
98.3%2(exp.f64 a)
79.8%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
98.3%2a
100.0%3b
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes34.0ms (0.5%)

Memory
27.1MiB live, 72.9MiB allocated
Counts
33 → 3
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) #s(approx (- (exp (neg a)) -1) (-.f64 #s(literal 2 binary64) a))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/4 binary64)) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #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 (/ (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 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) #s(approx (- (exp (neg a)) -1) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64)) a #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (+ (exp a) (exp b)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 b #s(approx (+ (* (+ 1/2 (/ (/ 2 b) b)) 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) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) #s(approx (- (exp (neg a)) -1) (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)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) (-.f64 #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(literal -1 binary64))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 b (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b)) b #s(literal 1 binary64)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))) b) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))) b))) (+.f64 #s(literal 2 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))) b))))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(literal 1 binary64))))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
Calls

4 calls:

9.0ms
b
9.0ms
a
8.0ms
(exp.f64 b)
6.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
98.1%2(exp.f64 a)
98.1%2a
99.8%3(exp.f64 b)
99.8%3b
Compiler

Compiled 6 to 10 computations (-66.7% saved)

regimes59.0ms (0.9%)

Memory
4.4MiB live, 50.1MiB allocated
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 (/ 1 (+ (exp b) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) #s(approx (- (exp (neg a)) -1) (-.f64 #s(literal 2 binary64) a))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/4 binary64)) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #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 (/ (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 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) #s(approx (- (exp (neg a)) -1) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64)) a #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (+ (exp a) (exp b)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 b #s(approx (+ (* (+ 1/2 (/ (/ 2 b) b)) 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) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) #s(approx (- (exp (neg a)) -1) (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)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) (-.f64 #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(literal -1 binary64))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 b (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b)) b #s(literal 1 binary64)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))) b) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))) b))) (+.f64 #s(literal 2 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))) b))))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
Outputs
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
Calls

4 calls:

37.0ms
b
8.0ms
a
6.0ms
(exp.f64 a)
6.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
97.8%2(exp.f64 a)
97.8%2a
98.4%3(exp.f64 b)
98.4%3b
Compiler

Compiled 6 to 10 computations (-66.7% saved)

regimes57.0ms (0.9%)

Memory
-20.2MiB live, 73.4MiB allocated
Counts
27 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) #s(approx (- (exp (neg a)) -1) (-.f64 #s(literal 2 binary64) a))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/4 binary64)) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #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 (/ (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 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) #s(approx (- (exp (neg a)) -1) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64)) a #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (+ (exp a) (exp b)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 b #s(approx (+ (* (+ 1/2 (/ (/ 2 b) b)) 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) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) #s(approx (- (exp (neg a)) -1) (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)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) (-.f64 #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(literal -1 binary64))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 b (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b)) b #s(literal 1 binary64)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))) b) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))) b))) (+.f64 #s(literal 2 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))) b))))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
Outputs
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) b)))))
Calls

5 calls:

28.0ms
a
9.0ms
(exp.f64 b)
7.0ms
b
5.0ms
(exp.f64 a)
5.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Results
AccuracySegmentsBranch
62.4%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
71.0%2(exp.f64 b)
73.8%2b
71.6%2(exp.f64 a)
71.6%2a
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes29.0ms (0.4%)

Memory
23.0MiB live, 66.4MiB allocated
Counts
26 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) #s(approx (- (exp (neg a)) -1) (-.f64 #s(literal 2 binary64) a))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/4 binary64)) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #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 (/ (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 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) #s(approx (- (exp (neg a)) -1) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64)) a #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (+ (exp a) (exp b)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 b #s(approx (+ (* (+ 1/2 (/ (/ 2 b) b)) 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) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) #s(approx (- (exp (neg a)) -1) (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)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) (-.f64 #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(literal -1 binary64))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 b (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b)) b #s(literal 1 binary64)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))) b) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))) b))) (+.f64 #s(literal 2 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))) b))))))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) #s(approx (- (exp (neg a)) -1) (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 (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) b)))))
Calls

4 calls:

10.0ms
a
7.0ms
b
5.0ms
(exp.f64 a)
5.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
65.8%2(exp.f64 b)
63.8%2(exp.f64 a)
68.8%3a
67.4%2b
Compiler

Compiled 6 to 10 computations (-66.7% saved)

regimes27.0ms (0.4%)

Memory
-21.6MiB live, 74.0MiB allocated
Counts
21 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) #s(approx (- (exp (neg a)) -1) (-.f64 #s(literal 2 binary64) a))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/4 binary64)) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #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 (/ (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 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) #s(approx (- (exp (neg a)) -1) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64)) a #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (+ (exp a) (exp b)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 b #s(approx (+ (* (+ 1/2 (/ (/ 2 b) b)) 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) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) #s(approx (- (exp (neg a)) -1) (fma.f64 (-.f64 (*.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 (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) b)))))
Calls

3 calls:

12.0ms
a
9.0ms
b
4.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
63.2%2(exp.f64 b)
61.2%2a
64.5%2b
Compiler

Compiled 4 to 7 computations (-75% saved)

regimes43.0ms (0.7%)

Memory
13.0MiB live, 59.2MiB allocated
Counts
15 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) #s(approx (- (exp (neg a)) -1) (-.f64 #s(literal 2 binary64) a))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/4 binary64)) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #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 (/ (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 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) #s(approx (- (exp (neg a)) -1) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64)) a #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (+ (exp a) (exp b)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 b #s(approx (+ (* (+ 1/2 (/ (/ 2 b) b)) b) 1) (/.f64 #s(literal 2 binary64) b)))))))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) #s(approx (- (exp (neg a)) -1) (fma.f64 (-.f64 (*.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 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)))))
Calls

5 calls:

27.0ms
(exp.f64 b)
4.0ms
a
4.0ms
b
3.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
3.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
56.9%2a
58.1%2(exp.f64 b)
56.1%2(exp.f64 a)
51.2%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
60.1%2b
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes48.0ms (0.7%)

Memory
10.2MiB live, 57.0MiB allocated
Counts
12 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) #s(approx (- (exp (neg a)) -1) (-.f64 #s(literal 2 binary64) a))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/4 binary64)) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #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 (/ (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 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) #s(approx (- (exp (neg a)) -1) (-.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
Calls

5 calls:

34.0ms
(exp.f64 b)
4.0ms
a
4.0ms
b
3.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
3.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
48.5%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
45.5%1(exp.f64 a)
45.5%1a
49.0%2(exp.f64 b)
49.0%2b
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes9.0ms (0.1%)

Memory
-19.9MiB live, 27.1MiB allocated
Counts
10 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) #s(approx (- (exp (neg a)) -1) (-.f64 #s(literal 2 binary64) a))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/4 binary64)) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #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 (/ (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 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)))))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) #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 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)))))
Calls

2 calls:

6.0ms
b
2.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
48.9%2(exp.f64 b)
48.9%2b
Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes4.0ms (0.1%)

Memory
17.4MiB live, 17.4MiB allocated
Counts
9 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) #s(approx (- (exp (neg a)) -1) (-.f64 #s(literal 2 binary64) a))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/4 binary64)) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #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 (/ (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)))))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) #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

1 calls:

3.0ms
b
Results
AccuracySegmentsBranch
48.9%2b
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes18.0ms (0.3%)

Memory
-0.5MiB live, 50.2MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) #s(approx (- (exp (neg a)) -1) (-.f64 #s(literal 2 binary64) a))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/4 binary64)) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #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))))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) #s(approx (- (exp (neg a)) -1) (-.f64 #s(literal 2 binary64) a))))
Calls

5 calls:

8.0ms
(exp.f64 b)
3.0ms
b
3.0ms
a
2.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
2.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
39.1%1(exp.f64 a)
39.1%1a
39.1%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
39.1%1(exp.f64 b)
39.1%1b
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes11.0ms (0.2%)

Memory
-8.3MiB live, 37.8MiB allocated
Accuracy

Total -22.4b remaining (-56.6%)

Threshold costs -22.4b (-56.6%)

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

5 calls:

4.0ms
(exp.f64 b)
2.0ms
a
2.0ms
b
1.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
38.1%1a
38.1%1(exp.f64 a)
38.1%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
38.1%1(exp.f64 b)
38.1%1b
Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch32.0ms (0.5%)

Memory
9.4MiB live, 100.8MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
15.0ms
1.1712766505673163e-17
8.904635876274186e-13
14.0ms
-9.605178697736896e-8
-1.5398381640829064e-12
Samples
17.0ms272×0valid
Compiler

Compiled 487 to 402 computations (17.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-exp: 5.0ms (62.7% of total)
ival-div: 2.0ms (25.1% of total)
ival-add: 1.0ms (12.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
10.9MiB live, 10.8MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
1.1712766505673163e-17
8.904635876274186e-13
1.0ms
-9.605178697736896e-8
-1.5398381640829064e-12
Compiler

Compiled 555 to 487 computations (12.3% saved)

bsearch21.0ms (0.3%)

Memory
-28.1MiB live, 33.9MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
20.0ms
-0.6830331032137722
-0.22862339305465965
Samples
17.0ms80×0valid
Compiler

Compiled 161 to 136 computations (15.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-add: 13.0ms (88.6% of total)
ival-exp: 1.0ms (6.8% of total)
ival-div: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch13.0ms (0.2%)

Memory
-1.2MiB live, 45.3MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
12.0ms
1.49348813917113e+97
3.666082477123666e+98
Samples
8.0ms112×0valid
Compiler

Compiled 382 to 298 computations (22% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-exp: 4.0ms (74.7% of total)
ival-div: 1.0ms (18.7% of total)
ival-add: 1.0ms (18.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch13.0ms (0.2%)

Memory
-5.4MiB live, 40.1MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
12.0ms
1.49348813917113e+97
3.666082477123666e+98
Samples
7.0ms96×0valid
Compiler

Compiled 480 to 361 computations (24.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-div: 1.0ms (39.7% of total)
ival-exp: 1.0ms (39.7% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch15.0ms (0.2%)

Memory
4.2MiB live, 48.5MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
14.0ms
4.525296837203541e+92
1.49348813917113e+97
Samples
8.0ms128×0valid
Compiler

Compiled 523 to 395 computations (24.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-exp: 4.0ms (68.6% of total)
ival-div: 1.0ms (17.2% of total)
ival-add: 1.0ms (17.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch14.0ms (0.2%)

Memory
-8.6MiB live, 46.4MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
13.0ms
7.704062601646636e+137
3.57101966691459e+139
Samples
8.0ms112×0valid
Compiler

Compiled 417 to 312 computations (25.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-exp: 5.0ms (82.1% of total)
ival-div: 1.0ms (16.4% of total)
ival-add: 1.0ms (16.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch14.0ms (0.2%)

Memory
-6.5MiB live, 39.8MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
12.0ms
2.9420238650321672e-49
1.6752447299860096e-47
Samples
8.0ms112×0valid
Compiler

Compiled 319 to 249 computations (21.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-exp: 2.0ms (66.5% of total)
ival-div: 1.0ms (33.3% of total)
ival-add: 1.0ms (33.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch17.0ms (0.3%)

Memory
-0.3MiB live, 45.9MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
12.0ms
2.3461026046062079e+24
7.618199749703013e+29
Samples
7.0ms144×0valid
Compiler

Compiled 488 to 371 computations (24% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-exp: 2.0ms (53.7% of total)
ival-div: 1.0ms (26.9% of total)
ival-add: 1.0ms (26.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
5.2MiB live, 5.2MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
2.3461026046062079e+24
7.618199749703013e+29
Compiler

Compiled 479 to 371 computations (22.5% saved)

simplify61.0ms (0.9%)

Memory
3.2MiB live, 100.0MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0120577
1176561
2336561
31023553
45790553
Stop Event
1×node limit
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (<=.f64 b #s(literal -3713820117856141/154742504910672534362390528 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 8715097876569077/9903520314283042199192993792 binary64)) (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))))
(if (<=.f64 b #s(literal -3713820117856141/154742504910672534362390528 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 8715097876569077/9903520314283042199192993792 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))))
(if (<=.f64 a #s(literal -5944751508129055/9007199254740992 binary64)) (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))))
(if (<=.f64 b #s(literal 359999999999999980956012423635524842637849796302164070341440594164143299837525494018255283124436992 binary64)) (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) b))))))
(if (<=.f64 b #s(literal 37000000000000000066314706275452279923329604227776834982044073968404507120605824807679312298770432 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) #s(approx (- (exp (neg a)) -1) (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 (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) b))))))
(if (<=.f64 b #s(literal 10500000000000000582832916394549268735476163421552061412410607920233846978744994073588342036889600 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) #s(approx (- (exp (neg a)) -1) (fma.f64 (-.f64 (*.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 (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) b))))))
(if (<=.f64 b #s(literal 34999999999999997844174843170929418004968899658731210200907555097650048818213603472011089865413730317992180468874861007296637047080610693120 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) #s(approx (- (exp (neg a)) -1) (fma.f64 (-.f64 (*.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 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b))))))
(if (<=.f64 b #s(literal 6787706298949975/411376139330301510538742295639337626245683966408394965837152256 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) #s(approx (- (exp (neg a)) -1) (-.f64 #s(literal 2 binary64) a)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))))
(if (<=.f64 b #s(literal 2150000000000000042312138752 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) #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 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b))))))
(if (<=.f64 b #s(literal 2150000000000000042312138752 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) #s(approx (- (exp (neg a)) -1) (-.f64 #s(literal 2 binary64) a)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) b) b))))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) #s(approx (- (exp (neg a)) -1) (-.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (<=.f64 b #s(literal -3713820117856141/154742504910672534362390528 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 8715097876569077/9903520314283042199192993792 binary64)) (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))))
(if (or (<=.f64 b #s(literal -3713820117856141/154742504910672534362390528 binary64)) (not (<=.f64 b #s(literal 8715097876569077/9903520314283042199192993792 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
(if (<=.f64 b #s(literal -3713820117856141/154742504910672534362390528 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 8715097876569077/9903520314283042199192993792 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))))
(if (or (<=.f64 b #s(literal -3713820117856141/154742504910672534362390528 binary64)) (not (<=.f64 b #s(literal 8715097876569077/9903520314283042199192993792 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1 binary64))) (pow.f64 #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(if (<=.f64 a #s(literal -5944751508129055/9007199254740992 binary64)) (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))))
(if (<=.f64 a #s(literal -5944751508129055/9007199254740992 binary64)) (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1 binary64))))
(if (<=.f64 b #s(literal 359999999999999980956012423635524842637849796302164070341440594164143299837525494018255283124436992 binary64)) (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) b))))))
(if (<=.f64 b #s(literal 359999999999999980956012423635524842637849796302164070341440594164143299837525494018255283124436992 binary64)) (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) b))) #s(literal -1 binary64))))
(if (<=.f64 b #s(literal 37000000000000000066314706275452279923329604227776834982044073968404507120605824807679312298770432 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) #s(approx (- (exp (neg a)) -1) (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 (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) b))))))
(if (<=.f64 b #s(literal 37000000000000000066314706275452279923329604227776834982044073968404507120605824807679312298770432 binary64)) (pow.f64 #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) #s(approx (- (exp (neg a)) -1) (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(literal -1 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) b))) #s(literal -1 binary64))))
(if (<=.f64 b #s(literal 10500000000000000582832916394549268735476163421552061412410607920233846978744994073588342036889600 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) #s(approx (- (exp (neg a)) -1) (fma.f64 (-.f64 (*.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 (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) b))))))
(if (<=.f64 b #s(literal 10500000000000000582832916394549268735476163421552061412410607920233846978744994073588342036889600 binary64)) (pow.f64 #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) #s(approx (- (exp (neg a)) -1) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64)) a #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) b))) #s(literal -1 binary64))))
(if (<=.f64 b #s(literal 34999999999999997844174843170929418004968899658731210200907555097650048818213603472011089865413730317992180468874861007296637047080610693120 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) #s(approx (- (exp (neg a)) -1) (fma.f64 (-.f64 (*.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 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b))))))
(if (<=.f64 b #s(literal 34999999999999997844174843170929418004968899658731210200907555097650048818213603472011089865413730317992180468874861007296637047080610693120 binary64)) (pow.f64 #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) #s(approx (- (exp (neg a)) -1) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64)) a #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b))) #s(literal -1 binary64))))
(if (<=.f64 b #s(literal 6787706298949975/411376139330301510538742295639337626245683966408394965837152256 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) #s(approx (- (exp (neg a)) -1) (-.f64 #s(literal 2 binary64) a)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))))
(if (<=.f64 b #s(literal 6787706298949975/411376139330301510538742295639337626245683966408394965837152256 binary64)) (pow.f64 #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) #s(approx (- (exp (neg a)) -1) (-.f64 #s(literal 2 binary64) a))) #s(literal -1 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))) #s(literal -1 binary64))))
(if (<=.f64 b #s(literal 2150000000000000042312138752 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) #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 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b))))))
(if (<=.f64 b #s(literal 2150000000000000042312138752 binary64)) (pow.f64 #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) #s(approx (- (exp (neg a)) -1) (-.f64 #s(literal 2 binary64) a))) #s(literal -1 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b))) #s(literal -1 binary64))))
(if (<=.f64 b #s(literal 2150000000000000042312138752 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) #s(approx (- (exp (neg a)) -1) (-.f64 #s(literal 2 binary64) a)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) b) b))))))
(if (<=.f64 b #s(literal 2150000000000000042312138752 binary64)) (pow.f64 #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) #s(approx (- (exp (neg a)) -1) (-.f64 #s(literal 2 binary64) a))) #s(literal -1 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) b) b))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) #s(approx (- (exp (neg a)) -1) (-.f64 #s(literal 2 binary64) a))))
(pow.f64 #s(approx (* (exp (neg a)) (+ (exp b) (exp a))) #s(approx (- (exp (neg a)) -1) (-.f64 #s(literal 2 binary64) a))) #s(literal -1 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))

soundness901.0ms (13.8%)

Memory
31.0MiB live, 945.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0194801
1610773
22192737
08794681
0120516
1363504
21377475
36354467
08422434
02651307
18331191
231971157
084341078
02511227
17771143
230651107
080991030
0617
01017
13317
224417
3309317
0854917
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 990 to 451 computations (54.4% saved)

preprocess140.0ms (2.1%)

Memory
0.7MiB live, 382.6MiB allocated
Compiler

Compiled 1 186 to 276 computations (76.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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