Quotient of sum of exps

Time bar (total: 5.9s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze5.0ms (0.1%)

Memory
11.4MiB live, 11.4MiB 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)

sample1.0s (17.6%)

Memory
6.3MiB live, 1 434.5MiB allocated
Samples
433.0ms8 256×0valid
229.0ms2 881×0exit
Precisions
Click to see histograms. Total time spent on operations: 333.0ms
ival-exp: 193.0ms (58% of total)
ival-div: 71.0ms (21.3% of total)
ival-add: 57.0ms (17.1% of total)
ival-true: 8.0ms (2.4% of total)
ival-assert: 5.0ms (1.5% of total)
Bogosity

explain71.0ms (1.2%)

Memory
7.4MiB live, 84.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
30-0-(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
00-0-(+.f64 (exp.f64 a) (exp.f64 b))
00-0-a
00-0-(exp.f64 b)
00-0-b
00-0-(exp.f64 a)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))u/u20
↳(exp.f64 a)underflow72
↳(+.f64 (exp.f64 a) (exp.f64 b))underflow2
↳(exp.f64 a)underflow72
↳(exp.f64 b)underflow39
/.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))overflow86
↳(exp.f64 a)overflow1
↳(exp.f64 b)overflow85
Confusion
Predicted +Predicted -
+30
-0253
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+300
-00253
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0253
13
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
27.0ms512×0valid
Compiler

Compiled 69 to 28 computations (59.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-exp: 8.0ms (57.9% of total)
ival-div: 3.0ms (21.7% of total)
ival-add: 3.0ms (21.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess150.0ms (2.5%)

Memory
0.6MiB live, 118.4MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01648
15448
217448
386743
4514643
068
0108
1178
2438
31298
46428
555008
0100358
Stop Event
1×iter limit
1×node limit
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.8%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 8 to 6 computations (25% saved)

simplify101.0ms (1.7%)

Memory
24.6MiB live, 97.6MiB 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
312919
464219
5550019
01003519
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

localize64.0ms (1.1%)

Memory
-32.0MiB live, 51.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(exp.f64 b)
accuracy0.0
(exp.f64 a)
accuracy0.01953125
(+.f64 (exp.f64 a) (exp.f64 b))
accuracy0.7461020031524757
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Samples
55.0ms256×0valid
Compiler

Compiled 40 to 14 computations (65% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-exp: 46.0ms (94.4% of total)
ival-div: 2.0ms (4.1% of total)
ival-add: 1.0ms (2.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
4.7MiB live, 4.7MiB 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
b
@0
((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp b))
1.0ms
a
@0
((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp b))
1.0ms
a
@inf
((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp b))
1.0ms
a
@-inf
((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp b))
1.0ms
b
@-inf
((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp b))

simplify184.0ms (3.1%)

Memory
11.6MiB live, 202.2MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0120516
1377499
21481473
37402450
08979415
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))))
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 (exp.f64 b) #s(literal 1 binary64))) (/.f64 (neg.f64 a) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 (+.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (+.f64 (exp.f64 b) #s(literal 1 binary64))) a (/.f64 (fma.f64 #s(literal -3/2 binary64) a #s(literal -1 binary64)) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 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 (+.f64 (fma.f64 (+.f64 (+.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 -2/3 binary64)) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 4 binary64))))) a)) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 3 binary64)))) a (/.f64 (fma.f64 #s(literal -3/2 binary64) a #s(literal -1 binary64)) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 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 (fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 3 binary64))) b (/.f64 (fma.f64 (*.f64 (exp.f64 a) #s(literal 1/2 binary64)) b (exp.f64 a)) (neg.f64 (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 b b) (neg.f64 (fma.f64 (+.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 4 binary64))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (exp.f64 a) (*.f64 #s(literal -1/2 binary64) (exp.f64 a))) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 3 binary64)))) b (/.f64 (fma.f64 (*.f64 (exp.f64 a) #s(literal 1/6 binary64)) b (fma.f64 (exp.f64 a) #s(literal 1/2 binary64) (/.f64 (neg.f64 (exp.f64 a)) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))))) (/.f64 (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))))
(+ 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)

rewrite204.0ms (3.4%)

Memory
18.3MiB live, 181.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0617
01017
13817
230417
3411017
0837317
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
4 → 374
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(exp.f64 a)
(+.f64 (exp.f64 a) (exp.f64 b))
(exp.f64 b)
Outputs
(*.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (+.f64 (pow.f64 (sinh.f64 a) #s(literal 3 binary64)) (pow.f64 (cosh.f64 a) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) a)) (*.f64 (sinh.f64 a) (cosh.f64 a))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) #s(literal -1 binary64)))
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(fma.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (fma.f64 (exp.f64 b) (+.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64))) (-.f64 (exp.f64 a) (exp.f64 b))))
(fma.f64 (pow.f64 (exp.f64 b) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (exp.f64 b) #s(literal 3/2 binary64)) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (/.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (exp.f64 a) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (exp.f64 a) #s(literal 3/2 binary64)) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (/.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))
(fma.f64 (+.f64 (pow.f64 (sinh.f64 a) #s(literal 3 binary64)) (pow.f64 (cosh.f64 a) #s(literal 3 binary64))) (pow.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) a)) (*.f64 (sinh.f64 a) (cosh.f64 a))) #s(literal -1 binary64)) (neg.f64 (neg.f64 (exp.f64 b))))
(fma.f64 (+.f64 (pow.f64 (sinh.f64 a) #s(literal 3 binary64)) (pow.f64 (cosh.f64 a) #s(literal 3 binary64))) (pow.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) a)) (*.f64 (sinh.f64 a) (cosh.f64 a))) #s(literal -1 binary64)) (exp.f64 b))
(fma.f64 (+.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (pow.f64 (cosh.f64 b) #s(literal 3 binary64))) (pow.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) b)) (*.f64 (sinh.f64 b) (cosh.f64 b))) #s(literal -1 binary64)) (exp.f64 a))
(fma.f64 (fabs.f64 (exp.f64 a)) (/.f64 (fabs.f64 (exp.f64 a)) (-.f64 (exp.f64 a) (exp.f64 b))) (neg.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b)))))
(fma.f64 (fabs.f64 (exp.f64 a)) (/.f64 (fabs.f64 (exp.f64 a)) (-.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))))
(fma.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (exp.f64 a)) #s(literal 1 binary64)) (neg.f64 (neg.f64 (exp.f64 b))))
(fma.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (exp.f64 a)) #s(literal 1 binary64)) (exp.f64 b))
(fma.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 a)) (neg.f64 (neg.f64 (exp.f64 b))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 a)) (exp.f64 b))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) #s(literal 1/2 binary64) (+.f64 (sinh.f64 a) (exp.f64 b)))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 b)) #s(literal 1/2 binary64) (+.f64 (sinh.f64 b) (exp.f64 a)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) #s(literal 1/2 binary64) (+.f64 (cosh.f64 a) (exp.f64 b)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 b)) #s(literal 1/2 binary64) (+.f64 (cosh.f64 b) (exp.f64 a)))
(fma.f64 #s(literal 1 binary64) (exp.f64 b) (exp.f64 a))
(fma.f64 #s(literal 1 binary64) (exp.f64 a) (neg.f64 (neg.f64 (exp.f64 b))))
(fma.f64 #s(literal 1 binary64) (exp.f64 a) (exp.f64 b))
(fma.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (/.f64 (exp.f64 b) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (/.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (/.f64 (exp.f64 a) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (/.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (-.f64 (exp.f64 a) (exp.f64 b)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b)))))
(fma.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (-.f64 (exp.f64 a) (exp.f64 b)) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64))) (-.f64 (exp.f64 a) (exp.f64 b))))
(fma.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))
(fma.f64 (neg.f64 (exp.f64 a)) (/.f64 (neg.f64 (exp.f64 a)) (-.f64 (exp.f64 a) (exp.f64 b))) (neg.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b)))))
(fma.f64 (neg.f64 (exp.f64 a)) (/.f64 (neg.f64 (exp.f64 a)) (-.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))))
(fma.f64 (exp.f64 b) (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (/.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))
(fma.f64 (exp.f64 a) (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (/.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))
(fma.f64 (exp.f64 a) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b))) (neg.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b)))))
(fma.f64 (exp.f64 a) (/.f64 (exp.f64 a) (-.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))))
(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))
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 (exp.f64 b) (exp.f64 a))) (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (exp.f64 b) (exp.f64 a))))
(-.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b))))
(-.f64 #s(literal 0 binary64) (neg.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(exp.f64 (neg.f64 (*.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal -1 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 b) (exp.f64 a)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal 1 binary64)))
(+.f64 (/.f64 (+.f64 (cosh.f64 a) (exp.f64 b)) #s(literal 1 binary64)) (/.f64 (sinh.f64 a) #s(literal 1 binary64)))
(+.f64 (/.f64 (+.f64 (cosh.f64 b) (exp.f64 a)) #s(literal 1 binary64)) (/.f64 (sinh.f64 b) #s(literal 1 binary64)))
(+.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) #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 (cosh.f64 a) #s(literal 1 binary64)) (/.f64 (+.f64 (sinh.f64 a) (exp.f64 b)) #s(literal 1 binary64)))
(+.f64 (/.f64 (exp.f64 b) #s(literal 1 binary64)) (/.f64 (exp.f64 a) #s(literal 1 binary64)))
(+.f64 (/.f64 (exp.f64 a) #s(literal 1 binary64)) (/.f64 (exp.f64 b) #s(literal 1 binary64)))
(+.f64 (neg.f64 (neg.f64 (exp.f64 b))) (exp.f64 a))
(+.f64 (+.f64 (sinh.f64 b) (exp.f64 a)) (cosh.f64 b))
(+.f64 (+.f64 (sinh.f64 a) (exp.f64 b)) (cosh.f64 a))
(+.f64 (+.f64 (cosh.f64 a) (exp.f64 b)) (sinh.f64 a))
(+.f64 (+.f64 (cosh.f64 b) (exp.f64 a)) (sinh.f64 b))
(+.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (/.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (/.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b))) (neg.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b)))))
(+.f64 (/.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 b) (exp.f64 a))
(+.f64 (exp.f64 a) (neg.f64 (neg.f64 (exp.f64 b))))
(+.f64 (exp.f64 a) (exp.f64 b))
(*.f64 (pow.f64 (+.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (pow.f64 (cosh.f64 b) #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) b)) (*.f64 (sinh.f64 b) (cosh.f64 b))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (+.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (pow.f64 (cosh.f64 b) #s(literal 3 binary64))) (pow.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) b)) (*.f64 (sinh.f64 b) (cosh.f64 b))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (exp.f64 b))
(pow.f64 (/.f64 (exp.f64 (neg.f64 b)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.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)) (pow.f64 (cosh.f64 b) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (neg.f64 b)) #s(literal -1 binary64))
(pow.f64 (exp.f64 b) #s(literal 1 binary64))
(/.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 (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 (+.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))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 b)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.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)) (pow.f64 (cosh.f64 b) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 b)) #s(literal 1/2 binary64) (sinh.f64 b))
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 b)) #s(literal 1/2 binary64) (cosh.f64 b))
(-.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)))
(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))

eval61.0ms (1%)

Memory
-16.0MiB live, 102.8MiB allocated
Compiler

Compiled 10 689 to 1 362 computations (87.3% saved)

prune8.0ms (0.1%)

Memory
-14.1MiB live, 25.1MiB allocated
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New4355440
Fresh000
Picked101
Done000
Total4365441
Accuracy
100.0%
Counts
441 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.5%
(pow.f64 (pow.f64 (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
▶66.8%
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
▶100.0%
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)))
▶65.0%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (fma.f64 (neg.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (exp.f64 a)) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
▶84.4%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
Compiler

Compiled 144 to 104 computations (27.8% saved)

simplify115.0ms (1.9%)

Memory
4.6MiB live, 120.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 (exp.f64 a))
cost-diff0
(/.f64 (fma.f64 (neg.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (exp.f64 a)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
cost-diff0
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (fma.f64 (neg.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (exp.f64 a)) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
cost-diff1
(fma.f64 (neg.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (exp.f64 a))
cost-diff0
(exp.f64 (-.f64 b a))
cost-diff0
(+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64))
cost-diff0
(pow.f64 (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)) #s(literal -1/2 binary64))
cost-diff2
(pow.f64 (pow.f64 (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
cost-diff0
(+.f64 (exp.f64 a) #s(literal 1 binary64))
cost-diff0
#s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
cost-diff0
(exp.f64 a)
cost-diff0
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
cost-diff0
(exp.f64 b)
cost-diff0
(+.f64 (exp.f64 b) #s(literal 1 binary64))
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
cost-diff0
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
cost-diff0
(-.f64 b a)
cost-diff0
(exp.f64 (-.f64 b a))
cost-diff0
(+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64))
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
028193
045191
177191
2186191
3642188
43425188
08434188
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)))
#s(literal 1 binary64)
(+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64))
(exp.f64 (-.f64 b a))
(-.f64 b a)
b
a
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
#s(literal 1 binary64)
(+.f64 (exp.f64 b) #s(literal 1 binary64))
(exp.f64 b)
b
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(exp.f64 a)
a
#s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(+.f64 (exp.f64 a) #s(literal 1 binary64))
#s(literal 1 binary64)
(pow.f64 (pow.f64 (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)) #s(literal -1/2 binary64))
(+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64))
(exp.f64 (-.f64 b a))
(-.f64 b a)
b
a
#s(literal 1 binary64)
#s(literal -1/2 binary64)
#s(literal 2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (fma.f64 (neg.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (exp.f64 a)) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(/.f64 (fma.f64 (neg.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (exp.f64 a)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (exp.f64 a))
(neg.f64 (exp.f64 a))
(exp.f64 a)
a
(/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))
b
(+.f64 (exp.f64 a) #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)))
(pow.f64 (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)) #s(literal -1 binary64))
#s(literal 1 binary64)
(+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64))
(exp.f64 (-.f64 b a))
(-.f64 b a)
b
a
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
#s(literal 1 binary64)
(+.f64 (exp.f64 b) #s(literal 1 binary64))
(exp.f64 b)
b
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(exp.f64 a)
a
#s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(+.f64 (exp.f64 a) #s(literal 1 binary64))
#s(literal 1 binary64)
(pow.f64 (pow.f64 (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)) #s(literal -1/2 binary64))
(+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64))
(exp.f64 (-.f64 b a))
(-.f64 b a)
b
a
#s(literal 1 binary64)
#s(literal -1/2 binary64)
#s(literal 2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (fma.f64 (neg.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (exp.f64 a)) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (exp.f64 a)) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(/.f64 (fma.f64 (neg.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (exp.f64 a)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (exp.f64 a)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (exp.f64 a))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (exp.f64 a))
(neg.f64 (exp.f64 a))
(exp.f64 a)
a
(/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))
b
(+.f64 (exp.f64 a) #s(literal 1 binary64))
#s(literal 1 binary64)

localize108.0ms (1.8%)

Memory
32.7MiB live, 69.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.01953125
(+.f64 (exp.f64 a) #s(literal 1 binary64))
accuracy0.20703125000000003
(fma.f64 (neg.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (exp.f64 a))
accuracy0.2578152510508252
(/.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)))
accuracy22.115399395502635
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (fma.f64 (neg.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (exp.f64 a)) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
accuracy0.0
(exp.f64 (-.f64 b a))
accuracy0.015625
(pow.f64 (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)) #s(literal -1/2 binary64))
accuracy0.0234375
(+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64))
accuracy0.33203125
(pow.f64 (pow.f64 (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
accuracy0.0
(exp.f64 a)
accuracy0.01953125
(+.f64 (exp.f64 a) #s(literal 1 binary64))
accuracy0.7461020031524757
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
accuracy29.1303765912225
#s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
accuracy0.0
(exp.f64 b)
accuracy0.01171875
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
accuracy0.01171875
(+.f64 (exp.f64 b) #s(literal 1 binary64))
accuracy9.966409622384992
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
accuracy0.0
(-.f64 b a)
accuracy0.0
(exp.f64 (-.f64 b a))
accuracy0.015625
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)))
accuracy0.0234375
(+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64))
Samples
90.0ms255×0valid
0.0ms1×1valid
Compiler

Compiled 355 to 53 computations (85.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-div: 7.0ms (21.5% of total)
ival-pow: 7.0ms (21.5% of total)
ival-exp: 6.0ms (18.4% of total)
ival-add: 5.0ms (15.3% of total)
ival-pow2: 3.0ms (9.2% of total)
ival-sub: 2.0ms (6.1% of total)
ival-neg: 1.0ms (3.1% of total)
ival-mult: 1.0ms (3.1% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series41.0ms (0.7%)

Memory
-6.0MiB live, 32.2MiB allocated
Counts
18 → 108
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)))
(+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64))
(exp.f64 (-.f64 b a))
(-.f64 b a)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
(+.f64 (exp.f64 b) #s(literal 1 binary64))
(exp.f64 b)
(/.f64 (exp.f64 a) #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))
(pow.f64 (pow.f64 (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)) #s(literal -1/2 binary64))
(fma.f64 (neg.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (exp.f64 a))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (fma.f64 (neg.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (exp.f64 a)) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(/.f64 (fma.f64 (neg.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (exp.f64 a)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(neg.f64 (exp.f64 a))
Outputs
(/ 1 (+ 1 (exp b)))
(+ (/ 1 (+ 1 (exp b))) (/ (* a (exp b)) (pow (+ 1 (exp b)) 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 3))) (* 1/2 (/ (exp b) (pow (+ 1 (exp b)) 2)))))) (* -1 (/ (exp b) (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/6 (/ (exp b) (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 3))) (/ (* (exp b) (+ (* -1 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 3))) (* 1/2 (/ (exp b) (pow (+ 1 (exp b)) 2))))) (+ 1 (exp b))))))) (+ (* -1 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 3))) (* 1/2 (/ (exp b) (pow (+ 1 (exp b)) 2)))))) (* -1 (/ (exp b) (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))
(+ 1 (exp b))
(+ 1 (+ (exp b) (* -1 (* a (exp b)))))
(+ 1 (+ (exp b) (* a (+ (* -1 (exp b)) (* 1/2 (* a (exp b)))))))
(+ 1 (+ (exp b) (* a (+ (* -1 (exp b)) (* a (+ (* -1/6 (* a (exp b))) (* 1/2 (exp b))))))))
(exp b)
(+ (exp b) (* -1 (* a (exp b))))
(+ (exp b) (* a (+ (* -1 (exp b)) (* 1/2 (* a (exp b))))))
(+ (exp b) (* a (+ (* -1 (exp b)) (* a (+ (* -1/6 (* a (exp b))) (* 1/2 (exp b)))))))
b
(+ b (* -1 a))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
1
(+ 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))))))
(sqrt (/ 1 (+ 1 (exp b))))
(+ (sqrt (/ 1 (+ 1 (exp b)))) (* 1/2 (* (* a (exp b)) (sqrt (/ 1 (pow (+ 1 (exp b)) 3))))))
(+ (sqrt (/ 1 (+ 1 (exp b)))) (* a (+ (* -1/2 (* (* a (+ (* -1 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 3))) (+ (* 1/4 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 3))) (* 1/2 (/ (exp b) (pow (+ 1 (exp b)) 2)))))) (sqrt (+ 1 (exp b))))) (* 1/2 (* (exp b) (sqrt (/ 1 (pow (+ 1 (exp b)) 3))))))))
(+ (sqrt (/ 1 (+ 1 (exp b)))) (* a (+ (* 1/2 (* (exp b) (sqrt (/ 1 (pow (+ 1 (exp b)) 3))))) (* a (+ (* -1/2 (* (sqrt (+ 1 (exp b))) (+ (* -1 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 3))) (+ (* 1/4 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 3))) (* 1/2 (/ (exp b) (pow (+ 1 (exp b)) 2))))))) (* -1/2 (* (* a (+ (* -1/2 (/ (* (exp b) (+ (* -1 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 3))) (+ (* 1/4 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 3))) (* 1/2 (/ (exp b) (pow (+ 1 (exp b)) 2)))))) (+ 1 (exp b)))) (+ (* -1/6 (/ (exp b) (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 3))) (/ (* (exp b) (+ (* -1 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 3))) (* 1/2 (/ (exp b) (pow (+ 1 (exp b)) 2))))) (+ 1 (exp b))))))) (sqrt (+ 1 (exp b))))))))))
(+ 1 (* -1/2 b))
(+ 1 (+ (* -1/2 b) (* a (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b)))))))
(+ 1 (+ (* -1/2 b) (* a (+ 1 (+ (* -1 (- (* 1/2 b) (* 1/4 b))) (* a (+ 1/2 (* -1 (- (* 1/4 b) (+ (* 1/8 b) (* 1/2 (- (* 1/2 b) (* 1/4 b)))))))))))))
(+ 1 (+ (* -1/2 b) (* a (+ 1 (+ (* -1 (- (* 1/2 b) (* 1/4 b))) (* a (+ 1/2 (+ (* -1 (- (* 1/4 b) (+ (* 1/8 b) (* 1/2 (- (* 1/2 b) (* 1/4 b)))))) (* a (+ 1/6 (* -1 (- (* 1/12 b) (+ (* 1/24 b) (+ (* 1/4 (- (* 1/2 b) (* 1/4 b))) (* 1/2 (- (* 1/4 b) (+ (* 1/8 b) (* 1/2 (- (* 1/2 b) (* 1/4 b))))))))))))))))))))
(* 1/2 (+ 1 (* -1/2 b)))
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* 1/4 (+ 1 (* -1/2 b))))))
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* a (- (* 1/2 (+ 1/2 (* -1 (- (* 1/4 b) (+ (* 1/8 b) (* 1/2 (- (* 1/2 b) (* 1/4 b)))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b))))))
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* a (- (+ (* 1/2 (+ 1/2 (* -1 (- (* 1/4 b) (+ (* 1/8 b) (* 1/2 (- (* 1/2 b) (* 1/4 b)))))))) (* a (- (* 1/2 (+ 1/6 (* -1 (- (* 1/12 b) (+ (* 1/24 b) (+ (* 1/4 (- (* 1/2 b) (* 1/4 b))) (* 1/2 (- (* 1/4 b) (+ (* 1/8 b) (* 1/2 (- (* 1/2 b) (* 1/4 b)))))))))))) (+ (* 1/24 (+ 1 (* -1/2 b))) (+ (* 1/4 (- (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* 1/4 (+ 1 (* -1/2 b))))) (* 1/2 (- (* 1/2 (+ 1/2 (* -1 (- (* 1/4 b) (+ (* 1/8 b) (* 1/2 (- (* 1/2 b) (* 1/4 b)))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* 1/4 (+ 1 (* -1/2 b))))))))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b))))))
-1
(- (* -1 a) 1)
(- (* a (- (* -1/2 a) 1)) 1)
(- (* a (- (* a (- (* -1/6 a) 1/2)) 1)) 1)
(/ 1 (+ 1 (exp (- b a))))
(+ 1 (exp (- b a)))
(exp (- b a))
(* -1 a)
(* a (- (/ b a) 1))
(/ (exp a) (+ (exp a) (exp b)))
(exp a)
(+ (exp a) (exp b))
(+ 1 (exp a))
(sqrt (/ 1 (+ 1 (exp (- b a)))))
(+ (exp a) (* -1 (/ (* b (exp a)) (+ 1 (exp a)))))
(/ (+ (exp a) (* -1 (/ (* b (exp a)) (+ 1 (exp a))))) (+ 1 (exp a)))
(* -1 (exp a))
(/ 1 (+ 1 (exp (+ b (* -1 a)))))
(+ 1 (exp (+ b (* -1 a))))
(exp (+ b (* -1 a)))
(* -1 (* a (+ 1 (* -1 (/ b a)))))
(sqrt (/ 1 (+ 1 (exp (+ b (* -1 a))))))
(/ 1 (+ 1 (exp (neg a))))
(+ (* -1 (/ (* b (exp (neg a))) (pow (+ 1 (exp (neg a))) 2))) (/ 1 (+ 1 (exp (neg a)))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 3))) (* 1/2 (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2)))))) (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2)))) (/ 1 (+ 1 (exp (neg a)))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (* (exp (neg a)) (+ (* -1 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 3))) (* 1/2 (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2))))) (+ 1 (exp (neg a))))) (+ (* -1/2 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 3))) (* 1/6 (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2))))))) (+ (* -1 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 3))) (* 1/2 (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2)))))) (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2)))) (/ 1 (+ 1 (exp (neg a)))))
(+ 1 (exp (neg a)))
(+ 1 (+ (exp (neg a)) (* b (exp (neg a)))))
(+ 1 (+ (exp (neg a)) (* b (+ (exp (neg a)) (* 1/2 (* b (exp (neg a))))))))
(+ 1 (+ (exp (neg a)) (* b (+ (exp (neg a)) (* b (+ (* 1/6 (* b (exp (neg a)))) (* 1/2 (exp (neg a)))))))))
(exp (neg a))
(+ (exp (neg a)) (* b (exp (neg a))))
(+ (exp (neg a)) (* b (+ (exp (neg a)) (* 1/2 (* b (exp (neg a)))))))
(+ (exp (neg a)) (* b (+ (exp (neg a)) (* b (+ (* 1/6 (* b (exp (neg a)))) (* 1/2 (exp (neg a))))))))
(- b a)
(/ (exp a) (+ 1 (exp a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
1/2
(+ 1/2 (* -1/4 b))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(+ 1 b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(+ 1 (+ b (exp a)))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(sqrt (/ 1 (+ 1 (exp (neg a)))))
(+ (sqrt (/ 1 (+ 1 (exp (neg a))))) (* -1/2 (* (* b (exp (neg a))) (sqrt (/ 1 (pow (+ 1 (exp (neg a))) 3))))))
(+ (sqrt (/ 1 (+ 1 (exp (neg a))))) (* b (+ (* -1/2 (* (exp (neg a)) (sqrt (/ 1 (pow (+ 1 (exp (neg a))) 3))))) (* -1/2 (* (* b (+ (* -1 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 3))) (+ (* 1/4 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 3))) (* 1/2 (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2)))))) (sqrt (+ 1 (exp (neg a)))))))))
(+ (sqrt (/ 1 (+ 1 (exp (neg a))))) (* b (+ (* -1/2 (* (exp (neg a)) (sqrt (/ 1 (pow (+ 1 (exp (neg a))) 3))))) (* b (+ (* -1/2 (* (sqrt (+ 1 (exp (neg a)))) (+ (* -1 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 3))) (+ (* 1/4 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 3))) (* 1/2 (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2))))))) (* -1/2 (* (* b (+ (* -1 (/ (* (exp (neg a)) (+ (* -1 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 3))) (* 1/2 (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2))))) (+ 1 (exp (neg a))))) (+ (* -1/2 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 3))) (+ (* 1/6 (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2))) (* 1/2 (/ (* (exp (neg a)) (+ (* -1 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 3))) (+ (* 1/4 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 3))) (* 1/2 (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2)))))) (+ 1 (exp (neg a))))))))) (sqrt (+ 1 (exp (neg a)))))))))))
(* b (+ 1 (* -1 (/ a b))))
(* -1 (/ (* b (exp a)) (+ 1 (exp a))))
(* b (+ (* -1 (/ (exp a) (+ 1 (exp a)))) (/ (exp a) b)))
(* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2)))
(* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a))))))
(/ 1 (+ 1 (exp (neg (+ a (* -1 b))))))
(+ 1 (exp (neg (+ a (* -1 b)))))
(exp (neg (+ a (* -1 b))))
(* -1 (* b (- (/ a b) 1)))
(sqrt (/ 1 (+ 1 (exp (neg (+ a (* -1 b)))))))
(* -1 (* b (+ (* -1 (/ (exp a) b)) (/ (exp a) (+ 1 (exp a))))))
(* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))))
Calls

6 calls:

TimeVariablePointExpression
15.0ms
a
@-inf
((/ 1 (+ (exp (- b a)) 1)) (+ (exp (- b a)) 1) (exp (- b a)) (- b a) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (exp b) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (+ (exp a) 1) (pow (pow (+ (exp (- b a)) 1) -1/2) 2) (pow (+ (exp (- b a)) 1) -1/2) (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (/ (exp a) (+ (exp a) (exp b))) (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) (neg (exp a)))
6.0ms
b
@-inf
((/ 1 (+ (exp (- b a)) 1)) (+ (exp (- b a)) 1) (exp (- b a)) (- b a) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (exp b) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (+ (exp a) 1) (pow (pow (+ (exp (- b a)) 1) -1/2) 2) (pow (+ (exp (- b a)) 1) -1/2) (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (/ (exp a) (+ (exp a) (exp b))) (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) (neg (exp a)))
5.0ms
a
@inf
((/ 1 (+ (exp (- b a)) 1)) (+ (exp (- b a)) 1) (exp (- b a)) (- b a) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (exp b) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (+ (exp a) 1) (pow (pow (+ (exp (- b a)) 1) -1/2) 2) (pow (+ (exp (- b a)) 1) -1/2) (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (/ (exp a) (+ (exp a) (exp b))) (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) (neg (exp a)))
5.0ms
a
@0
((/ 1 (+ (exp (- b a)) 1)) (+ (exp (- b a)) 1) (exp (- b a)) (- b a) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (exp b) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (+ (exp a) 1) (pow (pow (+ (exp (- b a)) 1) -1/2) 2) (pow (+ (exp (- b a)) 1) -1/2) (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (/ (exp a) (+ (exp a) (exp b))) (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) (neg (exp a)))
4.0ms
b
@0
((/ 1 (+ (exp (- b a)) 1)) (+ (exp (- b a)) 1) (exp (- b a)) (- b a) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (exp b) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (+ (exp a) 1) (pow (pow (+ (exp (- b a)) 1) -1/2) 2) (pow (+ (exp (- b a)) 1) -1/2) (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (/ (exp a) (+ (exp a) (exp b))) (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) (neg (exp a)))

simplify209.0ms (3.5%)

Memory
10.9MiB live, 211.2MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04422511
115642217
271022168
082332003
Stop Event
1×iter limit
1×node limit
Counts
108 → 107
Calls
Call 1
Inputs
(/ 1 (+ 1 (exp b)))
(+ (/ 1 (+ 1 (exp b))) (/ (* a (exp b)) (pow (+ 1 (exp b)) 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 3))) (* 1/2 (/ (exp b) (pow (+ 1 (exp b)) 2)))))) (* -1 (/ (exp b) (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/6 (/ (exp b) (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 3))) (/ (* (exp b) (+ (* -1 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 3))) (* 1/2 (/ (exp b) (pow (+ 1 (exp b)) 2))))) (+ 1 (exp b))))))) (+ (* -1 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 3))) (* 1/2 (/ (exp b) (pow (+ 1 (exp b)) 2)))))) (* -1 (/ (exp b) (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))
(+ 1 (exp b))
(+ 1 (+ (exp b) (* -1 (* a (exp b)))))
(+ 1 (+ (exp b) (* a (+ (* -1 (exp b)) (* 1/2 (* a (exp b)))))))
(+ 1 (+ (exp b) (* a (+ (* -1 (exp b)) (* a (+ (* -1/6 (* a (exp b))) (* 1/2 (exp b))))))))
(exp b)
(+ (exp b) (* -1 (* a (exp b))))
(+ (exp b) (* a (+ (* -1 (exp b)) (* 1/2 (* a (exp b))))))
(+ (exp b) (* a (+ (* -1 (exp b)) (* a (+ (* -1/6 (* a (exp b))) (* 1/2 (exp b)))))))
b
(+ b (* -1 a))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
1
(+ 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))))))
(sqrt (/ 1 (+ 1 (exp b))))
(+ (sqrt (/ 1 (+ 1 (exp b)))) (* 1/2 (* (* a (exp b)) (sqrt (/ 1 (pow (+ 1 (exp b)) 3))))))
(+ (sqrt (/ 1 (+ 1 (exp b)))) (* a (+ (* -1/2 (* (* a (+ (* -1 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 3))) (+ (* 1/4 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 3))) (* 1/2 (/ (exp b) (pow (+ 1 (exp b)) 2)))))) (sqrt (+ 1 (exp b))))) (* 1/2 (* (exp b) (sqrt (/ 1 (pow (+ 1 (exp b)) 3))))))))
(+ (sqrt (/ 1 (+ 1 (exp b)))) (* a (+ (* 1/2 (* (exp b) (sqrt (/ 1 (pow (+ 1 (exp b)) 3))))) (* a (+ (* -1/2 (* (sqrt (+ 1 (exp b))) (+ (* -1 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 3))) (+ (* 1/4 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 3))) (* 1/2 (/ (exp b) (pow (+ 1 (exp b)) 2))))))) (* -1/2 (* (* a (+ (* -1/2 (/ (* (exp b) (+ (* -1 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 3))) (+ (* 1/4 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 3))) (* 1/2 (/ (exp b) (pow (+ 1 (exp b)) 2)))))) (+ 1 (exp b)))) (+ (* -1/6 (/ (exp b) (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 3))) (/ (* (exp b) (+ (* -1 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 3))) (* 1/2 (/ (exp b) (pow (+ 1 (exp b)) 2))))) (+ 1 (exp b))))))) (sqrt (+ 1 (exp b))))))))))
(+ 1 (* -1/2 b))
(+ 1 (+ (* -1/2 b) (* a (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b)))))))
(+ 1 (+ (* -1/2 b) (* a (+ 1 (+ (* -1 (- (* 1/2 b) (* 1/4 b))) (* a (+ 1/2 (* -1 (- (* 1/4 b) (+ (* 1/8 b) (* 1/2 (- (* 1/2 b) (* 1/4 b)))))))))))))
(+ 1 (+ (* -1/2 b) (* a (+ 1 (+ (* -1 (- (* 1/2 b) (* 1/4 b))) (* a (+ 1/2 (+ (* -1 (- (* 1/4 b) (+ (* 1/8 b) (* 1/2 (- (* 1/2 b) (* 1/4 b)))))) (* a (+ 1/6 (* -1 (- (* 1/12 b) (+ (* 1/24 b) (+ (* 1/4 (- (* 1/2 b) (* 1/4 b))) (* 1/2 (- (* 1/4 b) (+ (* 1/8 b) (* 1/2 (- (* 1/2 b) (* 1/4 b))))))))))))))))))))
(* 1/2 (+ 1 (* -1/2 b)))
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* 1/4 (+ 1 (* -1/2 b))))))
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* a (- (* 1/2 (+ 1/2 (* -1 (- (* 1/4 b) (+ (* 1/8 b) (* 1/2 (- (* 1/2 b) (* 1/4 b)))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b))))))
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* a (- (+ (* 1/2 (+ 1/2 (* -1 (- (* 1/4 b) (+ (* 1/8 b) (* 1/2 (- (* 1/2 b) (* 1/4 b)))))))) (* a (- (* 1/2 (+ 1/6 (* -1 (- (* 1/12 b) (+ (* 1/24 b) (+ (* 1/4 (- (* 1/2 b) (* 1/4 b))) (* 1/2 (- (* 1/4 b) (+ (* 1/8 b) (* 1/2 (- (* 1/2 b) (* 1/4 b)))))))))))) (+ (* 1/24 (+ 1 (* -1/2 b))) (+ (* 1/4 (- (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* 1/4 (+ 1 (* -1/2 b))))) (* 1/2 (- (* 1/2 (+ 1/2 (* -1 (- (* 1/4 b) (+ (* 1/8 b) (* 1/2 (- (* 1/2 b) (* 1/4 b)))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* 1/4 (+ 1 (* -1/2 b))))))))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b))))))
-1
(- (* -1 a) 1)
(- (* a (- (* -1/2 a) 1)) 1)
(- (* a (- (* a (- (* -1/6 a) 1/2)) 1)) 1)
(/ 1 (+ 1 (exp (- b a))))
(+ 1 (exp (- b a)))
(exp (- b a))
(* -1 a)
(* a (- (/ b a) 1))
(/ (exp a) (+ (exp a) (exp b)))
(exp a)
(+ (exp a) (exp b))
(+ 1 (exp a))
(sqrt (/ 1 (+ 1 (exp (- b a)))))
(+ (exp a) (* -1 (/ (* b (exp a)) (+ 1 (exp a)))))
(/ (+ (exp a) (* -1 (/ (* b (exp a)) (+ 1 (exp a))))) (+ 1 (exp a)))
(* -1 (exp a))
(/ 1 (+ 1 (exp (+ b (* -1 a)))))
(+ 1 (exp (+ b (* -1 a))))
(exp (+ b (* -1 a)))
(* -1 (* a (+ 1 (* -1 (/ b a)))))
(sqrt (/ 1 (+ 1 (exp (+ b (* -1 a))))))
(/ 1 (+ 1 (exp (neg a))))
(+ (* -1 (/ (* b (exp (neg a))) (pow (+ 1 (exp (neg a))) 2))) (/ 1 (+ 1 (exp (neg a)))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 3))) (* 1/2 (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2)))))) (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2)))) (/ 1 (+ 1 (exp (neg a)))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (* (exp (neg a)) (+ (* -1 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 3))) (* 1/2 (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2))))) (+ 1 (exp (neg a))))) (+ (* -1/2 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 3))) (* 1/6 (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2))))))) (+ (* -1 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 3))) (* 1/2 (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2)))))) (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2)))) (/ 1 (+ 1 (exp (neg a)))))
(+ 1 (exp (neg a)))
(+ 1 (+ (exp (neg a)) (* b (exp (neg a)))))
(+ 1 (+ (exp (neg a)) (* b (+ (exp (neg a)) (* 1/2 (* b (exp (neg a))))))))
(+ 1 (+ (exp (neg a)) (* b (+ (exp (neg a)) (* b (+ (* 1/6 (* b (exp (neg a)))) (* 1/2 (exp (neg a)))))))))
(exp (neg a))
(+ (exp (neg a)) (* b (exp (neg a))))
(+ (exp (neg a)) (* b (+ (exp (neg a)) (* 1/2 (* b (exp (neg a)))))))
(+ (exp (neg a)) (* b (+ (exp (neg a)) (* b (+ (* 1/6 (* b (exp (neg a)))) (* 1/2 (exp (neg a))))))))
(- b a)
(/ (exp a) (+ 1 (exp a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
1/2
(+ 1/2 (* -1/4 b))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(+ 1 b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(+ 1 (+ b (exp a)))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(sqrt (/ 1 (+ 1 (exp (neg a)))))
(+ (sqrt (/ 1 (+ 1 (exp (neg a))))) (* -1/2 (* (* b (exp (neg a))) (sqrt (/ 1 (pow (+ 1 (exp (neg a))) 3))))))
(+ (sqrt (/ 1 (+ 1 (exp (neg a))))) (* b (+ (* -1/2 (* (exp (neg a)) (sqrt (/ 1 (pow (+ 1 (exp (neg a))) 3))))) (* -1/2 (* (* b (+ (* -1 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 3))) (+ (* 1/4 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 3))) (* 1/2 (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2)))))) (sqrt (+ 1 (exp (neg a)))))))))
(+ (sqrt (/ 1 (+ 1 (exp (neg a))))) (* b (+ (* -1/2 (* (exp (neg a)) (sqrt (/ 1 (pow (+ 1 (exp (neg a))) 3))))) (* b (+ (* -1/2 (* (sqrt (+ 1 (exp (neg a)))) (+ (* -1 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 3))) (+ (* 1/4 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 3))) (* 1/2 (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2))))))) (* -1/2 (* (* b (+ (* -1 (/ (* (exp (neg a)) (+ (* -1 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 3))) (* 1/2 (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2))))) (+ 1 (exp (neg a))))) (+ (* -1/2 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 3))) (+ (* 1/6 (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2))) (* 1/2 (/ (* (exp (neg a)) (+ (* -1 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 3))) (+ (* 1/4 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 3))) (* 1/2 (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2)))))) (+ 1 (exp (neg a))))))))) (sqrt (+ 1 (exp (neg a)))))))))))
(* b (+ 1 (* -1 (/ a b))))
(* -1 (/ (* b (exp a)) (+ 1 (exp a))))
(* b (+ (* -1 (/ (exp a) (+ 1 (exp a)))) (/ (exp a) b)))
(* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2)))
(* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a))))))
(/ 1 (+ 1 (exp (neg (+ a (* -1 b))))))
(+ 1 (exp (neg (+ a (* -1 b)))))
(exp (neg (+ a (* -1 b))))
(* -1 (* b (- (/ a b) 1)))
(sqrt (/ 1 (+ 1 (exp (neg (+ a (* -1 b)))))))
(* -1 (* b (+ (* -1 (/ (exp a) b)) (/ (exp a) (+ 1 (exp a))))))
(* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))))
Outputs
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ (/ 1 (+ 1 (exp b))) (/ (* a (exp b)) (pow (+ 1 (exp b)) 2)))
(/.f64 (+.f64 (/.f64 (*.f64 (exp.f64 b) a) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 3))) (* 1/2 (/ (exp b) (pow (+ 1 (exp b)) 2)))))) (* -1 (/ (exp b) (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))
(fma.f64 (fma.f64 (neg.f64 a) (/.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 b) (/.f64 (neg.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 (exp.f64 b) (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 (* a (+ (* -1/6 (/ (exp b) (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 3))) (/ (* (exp b) (+ (* -1 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 3))) (* 1/2 (/ (exp b) (pow (+ 1 (exp b)) 2))))) (+ 1 (exp b))))))) (+ (* -1 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 3))) (* 1/2 (/ (exp b) (pow (+ 1 (exp b)) 2)))))) (* -1 (/ (exp b) (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 b) (/.f64 (neg.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (exp.f64 b) (/.f64 (fma.f64 #s(literal -1/6 binary64) (exp.f64 b) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (exp.f64 b) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) a (/.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 b) (/.f64 (neg.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) a (/.f64 (exp.f64 b) (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) (* -1 (* a (exp b)))))
(fma.f64 (fma.f64 #s(literal -1 binary64) a #s(literal 1 binary64)) (exp.f64 b) #s(literal 1 binary64))
(+ 1 (+ (exp b) (* a (+ (* -1 (exp b)) (* 1/2 (* a (exp b)))))))
(fma.f64 (*.f64 (exp.f64 b) (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 (exp b)) (* a (+ (* -1/6 (* a (exp b))) (* 1/2 (exp b))))))))
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(exp.f64 b)
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b
(+ b (* -1 a))
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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 (+ 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)))))))
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2
#s(literal 2 binary64)
(+ 2 a)
(+.f64 #s(literal 2 binary64) a)
(+ 2 (* a (+ 1 (* 1/2 a))))
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(sqrt (/ 1 (+ 1 (exp b))))
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(+ 1 (+ (* -1/2 b) (* a (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b)))))))
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(* 1/2 (+ 1 (* -1/2 b)))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* 1/4 (+ 1 (* -1/2 b))))))
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-1
#s(literal -1 binary64)
(- (* -1 a) 1)
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(- (* a (- (* -1/2 a) 1)) 1)
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(- (* a (- (* a (- (* -1/6 a) 1/2)) 1)) 1)
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(/ 1 (+ 1 (exp (- b a))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)))
(+ 1 (exp (- b a)))
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(exp (- b a))
(exp.f64 (-.f64 b a))
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(/ 1 (+ 1 (exp (neg a))))
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(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (* (exp (neg a)) (+ (* -1 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 3))) (* 1/2 (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2))))) (+ 1 (exp (neg a))))) (+ (* -1/2 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 3))) (* 1/6 (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2))))))) (+ (* -1 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 3))) (* 1/2 (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2)))))) (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2)))) (/ 1 (+ 1 (exp (neg a)))))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 (exp.f64 (neg.f64 a)) #s(literal 1/6 binary64) (/.f64 (*.f64 (pow.f64 (exp.f64 (neg.f64 a)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))) (pow.f64 (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (/.f64 (fma.f64 (exp.f64 (neg.f64 a)) #s(literal 1/2 binary64) (/.f64 (neg.f64 (pow.f64 (exp.f64 (neg.f64 a)) #s(literal 2 binary64))) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))) (pow.f64 (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (exp.f64 (neg.f64 a)) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))))) b (/.f64 (fma.f64 (exp.f64 (neg.f64 a)) #s(literal 1/2 binary64) (/.f64 (neg.f64 (pow.f64 (exp.f64 (neg.f64 a)) #s(literal 2 binary64))) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))) (pow.f64 (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) #s(literal 2 binary64))))) b (/.f64 (neg.f64 (exp.f64 (neg.f64 a))) (pow.f64 (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) #s(literal 2 binary64)))) b (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))))
(+ 1 (exp (neg a)))
(+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))
(+ 1 (+ (exp (neg a)) (* b (exp (neg a)))))
(fma.f64 (+.f64 #s(literal 1 binary64) b) (exp.f64 (neg.f64 a)) #s(literal 1 binary64))
(+ 1 (+ (exp (neg a)) (* b (+ (exp (neg a)) (* 1/2 (* b (exp (neg a))))))))
(fma.f64 (*.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)))
(+ 1 (+ (exp (neg a)) (* b (+ (exp (neg a)) (* b (+ (* 1/6 (* b (exp (neg a)))) (* 1/2 (exp (neg 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 (neg a))
(exp.f64 (neg.f64 a))
(+ (exp (neg a)) (* b (exp (neg a))))
(/.f64 (+.f64 #s(literal 1 binary64) b) (exp.f64 a))
(+ (exp (neg a)) (* b (+ (exp (neg a)) (* 1/2 (* b (exp (neg a)))))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (exp.f64 (neg.f64 a))) b (exp.f64 (neg.f64 a)))
(+ (exp (neg a)) (* b (+ (exp (neg a)) (* b (+ (* 1/6 (* b (exp (neg a)))) (* 1/2 (exp (neg 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 (exp.f64 (neg.f64 a)))
(- b a)
(-.f64 b 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 (exp.f64 a) (*.f64 (exp.f64 a) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(fma.f64 (neg.f64 (fma.f64 (/.f64 (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))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (-.f64 (/.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))) (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))))) b (/.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 a) (/.f64 (neg.f64 (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) b (/.f64 (neg.f64 (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) b (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 b))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))
(+ 2 b)
(+.f64 #s(literal 2 binary64) b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))
(+ 1 b)
(+.f64 #s(literal 1 binary64) b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64))
(+ 1 (+ b (exp a)))
(+.f64 (+.f64 (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)))
(sqrt (/ 1 (+ 1 (exp (neg a)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))))
(+ (sqrt (/ 1 (+ 1 (exp (neg a))))) (* -1/2 (* (* b (exp (neg a))) (sqrt (/ 1 (pow (+ 1 (exp (neg a))) 3))))))
(fma.f64 (*.f64 b (/.f64 #s(literal -1/2 binary64) (exp.f64 a))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))))
(+ (sqrt (/ 1 (+ 1 (exp (neg a))))) (* b (+ (* -1/2 (* (exp (neg a)) (sqrt (/ 1 (pow (+ 1 (exp (neg a))) 3))))) (* -1/2 (* (* b (+ (* -1 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 3))) (+ (* 1/4 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 3))) (* 1/2 (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2)))))) (sqrt (+ 1 (exp (neg a)))))))))
(fma.f64 (*.f64 (fma.f64 (*.f64 (sqrt.f64 (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))) (fma.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 a)) #s(literal 2 binary64)) (pow.f64 (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal -3/4 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 a)) (pow.f64 (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) #s(literal 2 binary64))))) b (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) #s(literal 3 binary64)))) (exp.f64 (neg.f64 a)))) #s(literal -1/2 binary64)) b (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))))
(+ (sqrt (/ 1 (+ 1 (exp (neg a))))) (* b (+ (* -1/2 (* (exp (neg a)) (sqrt (/ 1 (pow (+ 1 (exp (neg a))) 3))))) (* b (+ (* -1/2 (* (sqrt (+ 1 (exp (neg a)))) (+ (* -1 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 3))) (+ (* 1/4 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 3))) (* 1/2 (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2))))))) (* -1/2 (* (* b (+ (* -1 (/ (* (exp (neg a)) (+ (* -1 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 3))) (* 1/2 (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2))))) (+ 1 (exp (neg a))))) (+ (* -1/2 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 3))) (+ (* 1/6 (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2))) (* 1/2 (/ (* (exp (neg a)) (+ (* -1 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 3))) (+ (* 1/4 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 3))) (* 1/2 (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2)))))) (+ 1 (exp (neg a))))))))) (sqrt (+ 1 (exp (neg a)))))))))))
(fma.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (exp.f64 a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))) (+.f64 (fma.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 a)) #s(literal 2 binary64)) (pow.f64 (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal -3/4 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 a)) (pow.f64 (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 (+.f64 (/.f64 (fma.f64 (exp.f64 (neg.f64 a)) #s(literal 1/6 binary64) (/.f64 (*.f64 (pow.f64 (exp.f64 (neg.f64 a)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))) (pow.f64 (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 a)) (fma.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 a)) #s(literal 2 binary64)) (pow.f64 (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal -3/4 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 a)) (pow.f64 (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 (neg.f64 (/.f64 (fma.f64 (exp.f64 (neg.f64 a)) #s(literal 1/2 binary64) (/.f64 (neg.f64 (pow.f64 (exp.f64 (neg.f64 a)) #s(literal 2 binary64))) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))) (pow.f64 (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (exp.f64 (neg.f64 a)))) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))) b))) #s(literal -1/2 binary64)) b)) b (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))))
(* b (+ 1 (* -1 (/ a b))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) b)
(* -1 (/ (* b (exp a)) (+ 1 (exp a))))
(*.f64 (neg.f64 b) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(* b (+ (* -1 (/ (exp a) (+ 1 (exp a)))) (/ (exp a) b)))
(*.f64 (-.f64 (/.f64 (exp.f64 a) b) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b)
(* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2)))
(*.f64 (/.f64 (neg.f64 (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) b)
(* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a))))))
(*.f64 (/.f64 (-.f64 (/.f64 (exp.f64 a) b) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (+.f64 #s(literal 1 binary64) (exp.f64 a))) b)
(/ 1 (+ 1 (exp (neg (+ a (* -1 b))))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)))
(+ 1 (exp (neg (+ a (* -1 b)))))
(+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64))
(exp (neg (+ a (* -1 b))))
(exp.f64 (-.f64 b a))
(* -1 (* b (- (/ a b) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) b)
(sqrt (/ 1 (+ 1 (exp (neg (+ a (* -1 b)))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64))))
(* -1 (* b (+ (* -1 (/ (exp a) b)) (/ (exp a) (+ 1 (exp a))))))
(*.f64 (-.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (exp.f64 a) b)) (neg.f64 b))
(* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))))
(*.f64 (/.f64 (-.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (exp.f64 a) b)) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (neg.f64 b))

rewrite201.0ms (3.4%)

Memory
-8.3MiB live, 217.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028153
045151
1192151
21440151
08092151
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
18 → 741
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)))
(+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64))
(exp.f64 (-.f64 b a))
(-.f64 b a)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
(+.f64 (exp.f64 b) #s(literal 1 binary64))
(exp.f64 b)
(/.f64 (exp.f64 a) #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))
(pow.f64 (pow.f64 (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)) #s(literal -1/2 binary64))
(fma.f64 (neg.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (exp.f64 a))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (fma.f64 (neg.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (exp.f64 a)) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(/.f64 (fma.f64 (neg.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (exp.f64 a)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(neg.f64 (exp.f64 a))
Outputs
(*.f64 (neg.f64 (neg.f64 (pow.f64 (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)) #s(literal -1/2 binary64)))) (neg.f64 (neg.f64 (pow.f64 (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)) #s(literal -1/2 binary64)))))
(*.f64 (fabs.f64 (pow.f64 (expm1.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))) #s(literal -1 binary64))) (fabs.f64 (expm1.f64 (-.f64 b a))))
(*.f64 (fabs.f64 (pow.f64 (+.f64 (exp.f64 (*.f64 (-.f64 b a) #s(literal 3 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))) (fabs.f64 (+.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))))))
(*.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)) #s(literal -1/2 binary64)))) (pow.f64 (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (fabs.f64 (pow.f64 (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)) #s(literal -3/4 binary64))) (pow.f64 (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (expm1.f64 (-.f64 b a)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 (exp.f64 (*.f64 (-.f64 b a) #s(literal 3 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (pow.f64 (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (pow.f64 (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)) #s(literal -3/4 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)) #s(literal -1/4 binary64)))
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(fma.f64 #s(literal -1 binary64) (cosh.f64 a) (*.f64 #s(literal -1 binary64) (sinh.f64 a)))
(fma.f64 (cosh.f64 a) #s(literal -1 binary64) (*.f64 (sinh.f64 a) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (exp.f64 a))) (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (exp.f64 a))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 (exp.f64 a) (exp.f64 a) (*.f64 #s(literal 0 binary64) (exp.f64 a))))) (/.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 (exp.f64 a) (exp.f64 a) (*.f64 #s(literal 0 binary64) (exp.f64 a))))))
(-.f64 (-.f64 #s(literal 0 binary64) (cosh.f64 a)) (sinh.f64 a))
(-.f64 #s(literal 0 binary64) (exp.f64 a))
(+.f64 (*.f64 (cosh.f64 a) #s(literal -1 binary64)) (*.f64 (sinh.f64 a) #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (cosh.f64 a)) (*.f64 #s(literal -1 binary64) (sinh.f64 a)))
(+.f64 (neg.f64 (cosh.f64 a)) (sinh.f64 (neg.f64 a)))
(+.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 a)))

eval208.0ms (3.5%)

Memory
4.2MiB live, 289.5MiB allocated
Compiler

Compiled 35 196 to 4 071 computations (88.4% saved)

prune64.0ms (1.1%)

Memory
-0.7MiB live, 75.5MiB allocated
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New1 115111 126
Fresh000
Picked415
Done000
Total1 119121 131
Accuracy
100.0%
Counts
1 131 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.6%
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
▶100.0%
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 a b))) #s(literal 1 binary64)))
67.2%
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1 binary64)))
✓84.4%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
61.7%
#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)))))
▶57.4%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
▶38.1%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
37.9%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
37.3%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
▶36.9%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
36.5%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
▶39.2%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
Compiler

Compiled 517 to 345 computations (33.3% saved)

simplify175.0ms (3%)

Memory
32.2MiB live, 183.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64))
cost-diff0
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))
cost-diff0
#s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))
cost-diff0
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
cost-diff0
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))
cost-diff0
#s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))
cost-diff0
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
cost-diff0
(+.f64 #s(literal 2 binary64) b)
cost-diff0
#s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b)))
cost-diff0
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
cost-diff0
#s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))
cost-diff0
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
cost-diff0
(exp.f64 (-.f64 a b))
cost-diff0
(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 a b))) #s(literal 1 binary64))
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 a b))) #s(literal 1 binary64)))
cost-diff2
(/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 a b)))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
036257
055254
194254
2238251
3889251
44236251
09023251
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 a b))) #s(literal 1 binary64)))
#s(literal 1 binary64)
(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 a b))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 a b)))
(exp.f64 (-.f64 a b))
(-.f64 a b)
a
b
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
#s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b)))
#s(literal 1 binary64)
#s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))
(+.f64 #s(literal 2 binary64) b)
#s(literal 2 binary64)
b
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))
#s(literal 1 binary64)
#s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
#s(literal 1/2 binary64)
b
#s(literal 2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))
(fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64))
(fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64))
#s(literal -1/480 binary64)
(*.f64 b b)
b
#s(literal 1/48 binary64)
#s(literal -1/4 binary64)
#s(literal 1/2 binary64)
Outputs
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 a b))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)))
#s(literal 1 binary64)
(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 a b))) #s(literal 1 binary64))
(+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 a b)))
(exp.f64 (-.f64 b a))
(exp.f64 (-.f64 a b))
(-.f64 a b)
a
b
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
#s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b)))
#s(literal 1 binary64)
#s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))
(+.f64 #s(literal 2 binary64) b)
#s(literal 2 binary64)
b
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))
#s(literal 1 binary64)
#s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
#s(literal 1/2 binary64)
b
#s(literal 2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))
#s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))
(fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))
(fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64))
(fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64))
(fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64))
(fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64))
#s(literal -1/480 binary64)
(*.f64 b b)
b
#s(literal 1/48 binary64)
#s(literal -1/4 binary64)
#s(literal 1/2 binary64)

localize129.0ms (2.2%)

Memory
-42.1MiB live, 202.5MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.01953125
(fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64))
accuracy0.02734375
(fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64))
accuracy1.0058797755391151
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
accuracy10.236384390988054
#s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))
accuracy0.0
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
accuracy0.0078125
(/.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))))
accuracy1.0058797755391151
#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)))))
accuracy10.230648790972172
#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)))
accuracy1.0058797755391151
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
accuracy10.551800290985991
#s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))
accuracy1.0058797755391151
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
accuracy9.060820388130601
#s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))
accuracy0.0
(exp.f64 (-.f64 a b))
accuracy0.015625
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 a b))) #s(literal 1 binary64)))
accuracy0.0234375
(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 a b))) #s(literal 1 binary64))
accuracy0.02734375
(/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 a b)))
Samples
43.0ms137×0valid
34.0ms119×0exit
Compiler

Compiled 427 to 70 computations (83.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 58.0ms
ival-add: 26.0ms (45% of total)
ival-div: 9.0ms (15.6% of total)
ival-mult: 9.0ms (15.6% of total)
ival-exp: 6.0ms (10.4% of total)
const: 6.0ms (10.4% of total)
ival-sub: 2.0ms (3.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series18.0ms (0.3%)

Memory
2.6MiB live, 40.1MiB allocated
Counts
20 → 88
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 a b)))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 a b))) #s(literal 1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 a b))) #s(literal 1 binary64))
(exp.f64 (-.f64 a b))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
#s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b)))
#s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))
(+.f64 #s(literal 2 binary64) b)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))
#s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))
(fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
(fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64))
Outputs
(/ 1 (exp (neg b)))
(+ (* -1 (/ a (exp (neg b)))) (/ 1 (exp (neg b))))
(+ (* a (- (* 1/2 (/ a (exp (neg b)))) (/ 1 (exp (neg b))))) (/ 1 (exp (neg b))))
(+ (* a (- (* a (+ (* -1/6 (/ a (exp (neg b)))) (* 1/2 (/ 1 (exp (neg b)))))) (/ 1 (exp (neg b))))) (/ 1 (exp (neg b))))
(/ 1 (+ 1 (/ 1 (exp (neg b)))))
(+ (/ 1 (+ 1 (/ 1 (exp (neg b))))) (/ a (* (exp (neg b)) (pow (+ 1 (/ 1 (exp (neg b)))) 2))))
(+ (* a (+ (* a (- (/ 1 (* (pow (exp (neg b)) 2) (pow (+ 1 (/ 1 (exp (neg b)))) 3))) (* 1/2 (/ 1 (* (exp (neg b)) (pow (+ 1 (/ 1 (exp (neg b)))) 2)))))) (/ 1 (* (exp (neg b)) (pow (+ 1 (/ 1 (exp (neg b)))) 2))))) (/ 1 (+ 1 (/ 1 (exp (neg b))))))
(+ (* a (+ (* a (- (+ (* a (- (* 1/6 (/ 1 (* (exp (neg b)) (pow (+ 1 (/ 1 (exp (neg b)))) 2)))) (+ (* -1 (/ (- (/ 1 (* (pow (exp (neg b)) 2) (pow (+ 1 (/ 1 (exp (neg b)))) 3))) (* 1/2 (/ 1 (* (exp (neg b)) (pow (+ 1 (/ 1 (exp (neg b)))) 2))))) (* (exp (neg b)) (+ 1 (/ 1 (exp (neg b))))))) (* 1/2 (/ 1 (* (pow (exp (neg b)) 2) (pow (+ 1 (/ 1 (exp (neg b)))) 3))))))) (/ 1 (* (pow (exp (neg b)) 2) (pow (+ 1 (/ 1 (exp (neg b)))) 3)))) (* 1/2 (/ 1 (* (exp (neg b)) (pow (+ 1 (/ 1 (exp (neg b)))) 2)))))) (/ 1 (* (exp (neg b)) (pow (+ 1 (/ 1 (exp (neg b)))) 2))))) (/ 1 (+ 1 (/ 1 (exp (neg b))))))
(+ 1 (/ 1 (exp (neg b))))
(+ 1 (+ (* -1 (/ a (exp (neg b)))) (/ 1 (exp (neg b)))))
(+ 1 (+ (* a (- (* 1/2 (/ a (exp (neg b)))) (/ 1 (exp (neg b))))) (/ 1 (exp (neg b)))))
(+ 1 (+ (* a (- (* a (+ (* -1/6 (/ a (exp (neg b)))) (* 1/2 (/ 1 (exp (neg b)))))) (/ 1 (exp (neg b))))) (/ 1 (exp (neg b)))))
(exp (neg b))
(+ (exp (neg b)) (* a (exp (neg b))))
(+ (exp (neg b)) (* a (+ (exp (neg b)) (* 1/2 (* a (exp (neg b)))))))
(+ (exp (neg b)) (* a (+ (exp (neg b)) (* a (+ (* 1/6 (* a (exp (neg b)))) (* 1/2 (exp (neg b))))))))
(/ 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 (- a b)))
(/ 1 (+ 1 (/ 1 (exp (- a b)))))
(+ 1 (/ 1 (exp (- a b))))
(exp (- a b))
(/ (exp a) (+ (exp a) (exp b)))
(/ 1 (exp (neg (+ b (* -1 a)))))
(/ 1 (+ 1 (/ 1 (exp (neg (+ b (* -1 a)))))))
(+ 1 (/ 1 (exp (neg (+ b (* -1 a))))))
(exp (neg (+ b (* -1 a))))
(/ 1 (exp a))
(+ (/ 1 (exp a)) (/ b (exp a)))
(+ (* b (+ (* 1/2 (/ b (exp a))) (/ 1 (exp a)))) (/ 1 (exp a)))
(+ (* b (+ (* b (+ (* 1/6 (/ b (exp a))) (* 1/2 (/ 1 (exp a))))) (/ 1 (exp a)))) (/ 1 (exp a)))
(/ 1 (+ 1 (/ 1 (exp a))))
(+ (* -1 (/ b (* (exp a) (pow (+ 1 (/ 1 (exp a))) 2)))) (/ 1 (+ 1 (/ 1 (exp a)))))
(+ (* b (- (* b (- (/ 1 (* (pow (exp a) 2) (pow (+ 1 (/ 1 (exp a))) 3))) (* 1/2 (/ 1 (* (exp a) (pow (+ 1 (/ 1 (exp a))) 2)))))) (/ 1 (* (exp a) (pow (+ 1 (/ 1 (exp a))) 2))))) (/ 1 (+ 1 (/ 1 (exp a)))))
(+ (* b (- (* b (- (+ (* b (- (/ 1 (* (pow (exp a) 2) (pow (+ 1 (/ 1 (exp a))) 3))) (+ (* 1/6 (/ 1 (* (exp a) (pow (+ 1 (/ 1 (exp a))) 2)))) (/ 1 (* (pow (exp a) 3) (pow (+ 1 (/ 1 (exp a))) 4)))))) (/ 1 (* (pow (exp a) 2) (pow (+ 1 (/ 1 (exp a))) 3)))) (* 1/2 (/ 1 (* (exp a) (pow (+ 1 (/ 1 (exp a))) 2)))))) (/ 1 (* (exp a) (pow (+ 1 (/ 1 (exp a))) 2))))) (/ 1 (+ 1 (/ 1 (exp a)))))
(+ 1 (/ 1 (exp a)))
(+ 1 (+ (/ 1 (exp a)) (/ b (exp a))))
(+ 1 (+ (* b (+ (* 1/2 (/ b (exp a))) (/ 1 (exp a)))) (/ 1 (exp a))))
(+ 1 (+ (* b (+ (* b (+ (* 1/6 (/ b (exp a))) (* 1/2 (/ 1 (exp a))))) (/ 1 (exp a)))) (/ 1 (exp a))))
(exp a)
(+ (exp a) (* -1 (* b (exp a))))
(+ (exp a) (* b (+ (* -1 (exp a)) (* 1/2 (* b (exp a))))))
(+ (exp a) (* b (+ (* -1 (exp a)) (* b (+ (* -1/6 (* b (exp a))) (* 1/2 (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
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
-1/4
(- (* 1/48 (pow b 2)) 1/4)
(- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)
1
(+ 1 (* 1/2 b))
1/48
(+ 1/48 (* -1/480 (pow b 2)))
(+ 1 (exp 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)))))
(* -1/480 (pow b 5))
(* (pow b 5) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* (pow b 5) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))
(* (pow b 5) (- (+ (* 1/48 (/ 1 (pow b 2))) (* 1/2 (/ 1 (pow b 5)))) (+ 1/480 (/ 1/4 (pow b 4)))))
(* -1/480 (pow b 4))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))
(* 1/2 b)
(* b (+ 1/2 (/ 1 b)))
(* -1/480 (pow b 2))
(* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(/ 1 (exp (+ a (* -1 b))))
(/ 1 (+ 1 (/ 1 (exp (+ a (* -1 b))))))
(+ 1 (/ 1 (exp (+ a (* -1 b)))))
(exp (+ a (* -1 b)))
(* -1 (* (pow b 5) (- 1/480 (* 1/48 (/ 1 (pow b 2))))))
(* -1 (* (pow b 5) (- (+ 1/480 (/ 1/4 (pow b 4))) (* 1/48 (/ 1 (pow b 2))))))
(* -1 (* (pow b 5) (- (+ 1/480 (/ 1/4 (pow b 4))) (+ (* 1/48 (/ 1 (pow b 2))) (* 1/2 (/ 1 (pow b 5)))))))
Calls

6 calls:

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

simplify136.0ms (2.3%)

Memory
-5.7MiB live, 202.0MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03031489
19581346
237241296
082511229
Stop Event
1×iter limit
1×node limit
Counts
88 → 87
Calls
Call 1
Inputs
(/ 1 (exp (neg b)))
(+ (* -1 (/ a (exp (neg b)))) (/ 1 (exp (neg b))))
(+ (* a (- (* 1/2 (/ a (exp (neg b)))) (/ 1 (exp (neg b))))) (/ 1 (exp (neg b))))
(+ (* a (- (* a (+ (* -1/6 (/ a (exp (neg b)))) (* 1/2 (/ 1 (exp (neg b)))))) (/ 1 (exp (neg b))))) (/ 1 (exp (neg b))))
(/ 1 (+ 1 (/ 1 (exp (neg b)))))
(+ (/ 1 (+ 1 (/ 1 (exp (neg b))))) (/ a (* (exp (neg b)) (pow (+ 1 (/ 1 (exp (neg b)))) 2))))
(+ (* a (+ (* a (- (/ 1 (* (pow (exp (neg b)) 2) (pow (+ 1 (/ 1 (exp (neg b)))) 3))) (* 1/2 (/ 1 (* (exp (neg b)) (pow (+ 1 (/ 1 (exp (neg b)))) 2)))))) (/ 1 (* (exp (neg b)) (pow (+ 1 (/ 1 (exp (neg b)))) 2))))) (/ 1 (+ 1 (/ 1 (exp (neg b))))))
(+ (* a (+ (* a (- (+ (* a (- (* 1/6 (/ 1 (* (exp (neg b)) (pow (+ 1 (/ 1 (exp (neg b)))) 2)))) (+ (* -1 (/ (- (/ 1 (* (pow (exp (neg b)) 2) (pow (+ 1 (/ 1 (exp (neg b)))) 3))) (* 1/2 (/ 1 (* (exp (neg b)) (pow (+ 1 (/ 1 (exp (neg b)))) 2))))) (* (exp (neg b)) (+ 1 (/ 1 (exp (neg b))))))) (* 1/2 (/ 1 (* (pow (exp (neg b)) 2) (pow (+ 1 (/ 1 (exp (neg b)))) 3))))))) (/ 1 (* (pow (exp (neg b)) 2) (pow (+ 1 (/ 1 (exp (neg b)))) 3)))) (* 1/2 (/ 1 (* (exp (neg b)) (pow (+ 1 (/ 1 (exp (neg b)))) 2)))))) (/ 1 (* (exp (neg b)) (pow (+ 1 (/ 1 (exp (neg b)))) 2))))) (/ 1 (+ 1 (/ 1 (exp (neg b))))))
(+ 1 (/ 1 (exp (neg b))))
(+ 1 (+ (* -1 (/ a (exp (neg b)))) (/ 1 (exp (neg b)))))
(+ 1 (+ (* a (- (* 1/2 (/ a (exp (neg b)))) (/ 1 (exp (neg b))))) (/ 1 (exp (neg b)))))
(+ 1 (+ (* a (- (* a (+ (* -1/6 (/ a (exp (neg b)))) (* 1/2 (/ 1 (exp (neg b)))))) (/ 1 (exp (neg b))))) (/ 1 (exp (neg b)))))
(exp (neg b))
(+ (exp (neg b)) (* a (exp (neg b))))
(+ (exp (neg b)) (* a (+ (exp (neg b)) (* 1/2 (* a (exp (neg b)))))))
(+ (exp (neg b)) (* a (+ (exp (neg b)) (* a (+ (* 1/6 (* a (exp (neg b)))) (* 1/2 (exp (neg b))))))))
(/ 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 (- a b)))
(/ 1 (+ 1 (/ 1 (exp (- a b)))))
(+ 1 (/ 1 (exp (- a b))))
(exp (- a b))
(/ (exp a) (+ (exp a) (exp b)))
(/ 1 (exp (neg (+ b (* -1 a)))))
(/ 1 (+ 1 (/ 1 (exp (neg (+ b (* -1 a)))))))
(+ 1 (/ 1 (exp (neg (+ b (* -1 a))))))
(exp (neg (+ b (* -1 a))))
(/ 1 (exp a))
(+ (/ 1 (exp a)) (/ b (exp a)))
(+ (* b (+ (* 1/2 (/ b (exp a))) (/ 1 (exp a)))) (/ 1 (exp a)))
(+ (* b (+ (* b (+ (* 1/6 (/ b (exp a))) (* 1/2 (/ 1 (exp a))))) (/ 1 (exp a)))) (/ 1 (exp a)))
(/ 1 (+ 1 (/ 1 (exp a))))
(+ (* -1 (/ b (* (exp a) (pow (+ 1 (/ 1 (exp a))) 2)))) (/ 1 (+ 1 (/ 1 (exp a)))))
(+ (* b (- (* b (- (/ 1 (* (pow (exp a) 2) (pow (+ 1 (/ 1 (exp a))) 3))) (* 1/2 (/ 1 (* (exp a) (pow (+ 1 (/ 1 (exp a))) 2)))))) (/ 1 (* (exp a) (pow (+ 1 (/ 1 (exp a))) 2))))) (/ 1 (+ 1 (/ 1 (exp a)))))
(+ (* b (- (* b (- (+ (* b (- (/ 1 (* (pow (exp a) 2) (pow (+ 1 (/ 1 (exp a))) 3))) (+ (* 1/6 (/ 1 (* (exp a) (pow (+ 1 (/ 1 (exp a))) 2)))) (/ 1 (* (pow (exp a) 3) (pow (+ 1 (/ 1 (exp a))) 4)))))) (/ 1 (* (pow (exp a) 2) (pow (+ 1 (/ 1 (exp a))) 3)))) (* 1/2 (/ 1 (* (exp a) (pow (+ 1 (/ 1 (exp a))) 2)))))) (/ 1 (* (exp a) (pow (+ 1 (/ 1 (exp a))) 2))))) (/ 1 (+ 1 (/ 1 (exp a)))))
(+ 1 (/ 1 (exp a)))
(+ 1 (+ (/ 1 (exp a)) (/ b (exp a))))
(+ 1 (+ (* b (+ (* 1/2 (/ b (exp a))) (/ 1 (exp a)))) (/ 1 (exp a))))
(+ 1 (+ (* b (+ (* b (+ (* 1/6 (/ b (exp a))) (* 1/2 (/ 1 (exp a))))) (/ 1 (exp a)))) (/ 1 (exp a))))
(exp a)
(+ (exp a) (* -1 (* b (exp a))))
(+ (exp a) (* b (+ (* -1 (exp a)) (* 1/2 (* b (exp a))))))
(+ (exp a) (* b (+ (* -1 (exp a)) (* b (+ (* -1/6 (* b (exp a))) (* 1/2 (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
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
-1/4
(- (* 1/48 (pow b 2)) 1/4)
(- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)
1
(+ 1 (* 1/2 b))
1/48
(+ 1/48 (* -1/480 (pow b 2)))
(+ 1 (exp 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)))))
(* -1/480 (pow b 5))
(* (pow b 5) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* (pow b 5) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))
(* (pow b 5) (- (+ (* 1/48 (/ 1 (pow b 2))) (* 1/2 (/ 1 (pow b 5)))) (+ 1/480 (/ 1/4 (pow b 4)))))
(* -1/480 (pow b 4))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))
(* 1/2 b)
(* b (+ 1/2 (/ 1 b)))
(* -1/480 (pow b 2))
(* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(/ 1 (exp (+ a (* -1 b))))
(/ 1 (+ 1 (/ 1 (exp (+ a (* -1 b))))))
(+ 1 (/ 1 (exp (+ a (* -1 b)))))
(exp (+ a (* -1 b)))
(* -1 (* (pow b 5) (- 1/480 (* 1/48 (/ 1 (pow b 2))))))
(* -1 (* (pow b 5) (- (+ 1/480 (/ 1/4 (pow b 4))) (* 1/48 (/ 1 (pow b 2))))))
(* -1 (* (pow b 5) (- (+ 1/480 (/ 1/4 (pow b 4))) (+ (* 1/48 (/ 1 (pow b 2))) (* 1/2 (/ 1 (pow b 5)))))))
Outputs
(/ 1 (exp (neg b)))
(exp.f64 b)
(+ (* -1 (/ a (exp (neg b)))) (/ 1 (exp (neg b))))
(/.f64 (-.f64 #s(literal 1 binary64) a) (exp.f64 (neg.f64 b)))
(+ (* a (- (* 1/2 (/ a (exp (neg b)))) (/ 1 (exp (neg b))))) (/ 1 (exp (neg b))))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) (exp.f64 (neg.f64 b))) a (exp.f64 b))
(+ (* a (- (* a (+ (* -1/6 (/ a (exp (neg b)))) (* 1/2 (/ 1 (exp (neg b)))))) (/ 1 (exp (neg b))))) (/ 1 (exp (neg b))))
(fma.f64 (-.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) a #s(literal 1/2 binary64)) (exp.f64 (neg.f64 b))) a) (exp.f64 b)) a (exp.f64 b))
(/ 1 (+ 1 (/ 1 (exp (neg b)))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
(+ (/ 1 (+ 1 (/ 1 (exp (neg b))))) (/ a (* (exp (neg b)) (pow (+ 1 (/ 1 (exp (neg b)))) 2))))
(/.f64 (+.f64 (/.f64 (*.f64 (exp.f64 b) a) (+.f64 (exp.f64 b) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
(+ (* a (+ (* a (- (/ 1 (* (pow (exp (neg b)) 2) (pow (+ 1 (/ 1 (exp (neg b)))) 3))) (* 1/2 (/ 1 (* (exp (neg b)) (pow (+ 1 (/ 1 (exp (neg b)))) 2)))))) (/ 1 (* (exp (neg b)) (pow (+ 1 (/ 1 (exp (neg b)))) 2))))) (/ 1 (+ 1 (/ 1 (exp (neg b))))))
(fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (exp.f64 b) (/.f64 (exp.f64 (*.f64 b #s(literal 2 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 (exp.f64 b) (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))))
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(* -1 (* (pow b 5) (- (+ 1/480 (/ 1/4 (pow b 4))) (* 1/48 (/ 1 (pow b 2))))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/48 binary64) (*.f64 b b)) #s(literal 1/480 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 b #s(literal 4 binary64)))) (pow.f64 b #s(literal 5 binary64)))
(* -1 (* (pow b 5) (- (+ 1/480 (/ 1/4 (pow b 4))) (+ (* 1/48 (/ 1 (pow b 2))) (* 1/2 (/ 1 (pow b 5)))))))
(*.f64 (+.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/48 binary64) (*.f64 b b)) #s(literal 1/480 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 5 binary64)))) (pow.f64 b #s(literal 5 binary64)))

rewrite163.0ms (2.7%)

Memory
20.4MiB live, 332.6MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
036235
055232
1253232
21892229
08457229
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
20 → 435
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 a b)))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 a b))) #s(literal 1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 a b))) #s(literal 1 binary64))
(exp.f64 (-.f64 a b))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
#s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b)))
#s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))
(+.f64 #s(literal 2 binary64) b)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))
#s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))
(fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
(fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64))
Outputs
(*.f64 (neg.f64 (exp.f64 (*.f64 (-.f64 a b) #s(literal -1/2 binary64)))) (neg.f64 (exp.f64 (*.f64 (-.f64 a b) #s(literal -1/2 binary64)))))
(*.f64 (fabs.f64 (exp.f64 (*.f64 (-.f64 a b) #s(literal -1/2 binary64)))) (fabs.f64 (exp.f64 (*.f64 (-.f64 a b) #s(literal -1/2 binary64)))))
(*.f64 (fabs.f64 (exp.f64 (neg.f64 a))) (fabs.f64 (exp.f64 b)))
(*.f64 (exp.f64 (*.f64 (-.f64 a b) #s(literal -1/2 binary64))) (exp.f64 (*.f64 (-.f64 a b) #s(literal -1/2 binary64))))
(*.f64 (exp.f64 (neg.f64 a)) (pow.f64 (exp.f64 (neg.f64 b)) #s(literal -1 binary64)))
(*.f64 (exp.f64 (neg.f64 a)) (exp.f64 (neg.f64 (neg.f64 b))))
(*.f64 (exp.f64 (neg.f64 a)) (exp.f64 b))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 (-.f64 a b))))
(*.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 a b))
(pow.f64 (exp.f64 (*.f64 (-.f64 a b) #s(literal -1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 (exp.f64 (-.f64 a b)))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (*.f64 (-.f64 a b) #s(literal 2 binary64))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (-.f64 a b)) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cosh.f64 b) #s(literal 3 binary64)) (pow.f64 (sinh.f64 b) #s(literal 3 binary64)))) (*.f64 (exp.f64 a) (fma.f64 (cosh.f64 b) (cosh.f64 b) (-.f64 (pow.f64 (sinh.f64 b) #s(literal 2 binary64)) (*.f64 (cosh.f64 b) (sinh.f64 b))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (-.f64 b a))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (-.f64 a b))))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (-.f64 b a))) (*.f64 #s(literal 2 binary64) (sinh.f64 (-.f64 a b)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (exp.f64 b)) (neg.f64 (exp.f64 a)))
(/.f64 (fabs.f64 (exp.f64 b)) (fabs.f64 (exp.f64 a)))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (exp.f64 (-.f64 a b))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (-.f64 a b))))
(/.f64 (exp.f64 b) (exp.f64 a))
(/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 (exp.f64 (-.f64 a b)))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 (neg.f64 (exp.f64 (-.f64 a b))))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (exp.f64 (-.f64 a b))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 (-.f64 a b)))))
(/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 a b)))
(neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 (-.f64 a b))))
(sqrt.f64 (exp.f64 (*.f64 (-.f64 a b) #s(literal -2 binary64))))
(-.f64 (cosh.f64 (-.f64 b a)) (sinh.f64 (-.f64 a b)))
(fabs.f64 (-.f64 (sinh.f64 (-.f64 a b)) (cosh.f64 (-.f64 b a))))
(fabs.f64 (/.f64 #s(literal -1 binary64) (exp.f64 (-.f64 a b))))
(fabs.f64 (neg.f64 (exp.f64 (-.f64 b a))))
(fabs.f64 (exp.f64 (-.f64 b a)))
(exp.f64 (-.f64 b a))
(+.f64 (cosh.f64 (-.f64 b a)) (sinh.f64 (-.f64 b a)))
(*.f64 (neg.f64 (pow.f64 (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)) #s(literal -1/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (expm1.f64 (*.f64 (-.f64 a b) #s(literal -2 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (expm1.f64 (-.f64 b a)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (expm1.f64 (*.f64 (-.f64 a b) #s(literal -2 binary64))) #s(literal -1 binary64)) (expm1.f64 (-.f64 b a)))
(*.f64 (pow.f64 (+.f64 (exp.f64 (*.f64 (-.f64 a b) #s(literal -3 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) (exp.f64 (*.f64 (-.f64 a b) #s(literal -2 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 (exp.f64 (*.f64 (-.f64 a b) #s(literal -3 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) (exp.f64 (*.f64 (-.f64 a b) #s(literal -2 binary64)))))
(*.f64 (pow.f64 (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64))))
(*.f64 (pow.f64 (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(pow.f64 (exp.f64 (log1p.f64 (exp.f64 (-.f64 b a)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)) (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)))) #s(literal -1 binary64))
(pow.f64 (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 a b) #s(literal -3 binary64)))) (*.f64 (expm1.f64 (*.f64 (-.f64 a b) #s(literal -2 binary64))) (+.f64 (exp.f64 (*.f64 (-.f64 a b) #s(literal -2 binary64))) (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)))))
(/.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 a b) #s(literal -2 binary64)))) (*.f64 (expm1.f64 (*.f64 (-.f64 a b) #s(literal -2 binary64))) (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (exp.f64 (-.f64 b a)) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) #s(literal 2 binary64)))) (*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 a b) #s(literal -3 binary64))) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 (-.f64 a b) #s(literal -2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 (-.f64 b a)) #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) #s(literal 3 binary64)))) (*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 a b) #s(literal -3 binary64))) #s(literal 1 binary64)) (+.f64 (pow.f64 (exp.f64 (-.f64 b a)) #s(literal 4 binary64)) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) #s(literal 2 binary64)) (*.f64 (exp.f64 (*.f64 (-.f64 a b) #s(literal -2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))))))
(/.f64 (neg.f64 (expm1.f64 (-.f64 b a))) (neg.f64 (expm1.f64 (*.f64 (-.f64 a b) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) (exp.f64 (*.f64 (-.f64 a b) #s(literal -2 binary64))))) (neg.f64 (+.f64 (exp.f64 (*.f64 (-.f64 a b) #s(literal -3 binary64))) #s(literal 1 binary64))))
(/.f64 (expm1.f64 (-.f64 b a)) (expm1.f64 (*.f64 (-.f64 a b) #s(literal -2 binary64))))
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) (exp.f64 (*.f64 (-.f64 a b) #s(literal -2 binary64)))) (+.f64 (exp.f64 (*.f64 (-.f64 a b) #s(literal -3 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64))))
(-.f64 (/.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (*.f64 (-.f64 a b) #s(literal -2 binary64)))) (pow.f64 (expm1.f64 (*.f64 (-.f64 a b) #s(literal -2 binary64))) #s(literal -1 binary64)))
(-.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (-.f64 a b) #s(literal -2 binary64))) #s(literal 1 binary64)) (+.f64 (exp.f64 (*.f64 (-.f64 a b) #s(literal -3 binary64))) #s(literal 1 binary64))) (/.f64 (exp.f64 (-.f64 b a)) (+.f64 (exp.f64 (*.f64 (-.f64 a b) #s(literal -3 binary64))) #s(literal 1 binary64))))
(fabs.f64 (pow.f64 (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 (-.f64 b a))) #s(literal -1 binary64)))
(+.f64 (cosh.f64 (*.f64 (log1p.f64 (exp.f64 (-.f64 b a))) #s(literal -1 binary64))) (sinh.f64 (*.f64 (log1p.f64 (exp.f64 (-.f64 b a))) #s(literal -1 binary64))))
(*.f64 (expm1.f64 (*.f64 (-.f64 a b) #s(literal -2 binary64))) (pow.f64 (expm1.f64 (-.f64 b a)) #s(literal -1 binary64)))
(*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 a b) #s(literal -3 binary64))) #s(literal 1 binary64)) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) (exp.f64 (*.f64 (-.f64 a b) #s(literal -2 binary64)))) #s(literal -1 binary64)))
(*.f64 (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 (-.f64 a b) #s(literal -2 binary64))))) (neg.f64 (neg.f64 (expm1.f64 (-.f64 b a)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 (-.f64 a b) #s(literal -3 binary64))) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) (exp.f64 (*.f64 (-.f64 a b) #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 a b) #s(literal -2 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))))
(/.f64 (*.f64 (expm1.f64 (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 a b) #s(literal -2 binary64))) #s(literal 1 binary64)) (expm1.f64 (-.f64 b a))))
(/.f64 (*.f64 (expm1.f64 (*.f64 (*.f64 (-.f64 b a) #s(literal 3 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 b a)) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 a b) #s(literal -2 binary64))))) (expm1.f64 (-.f64 b a))))
(/.f64 (*.f64 (expm1.f64 (*.f64 (*.f64 (-.f64 b a) #s(literal 3 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (expm1.f64 (*.f64 (-.f64 a b) #s(literal -3 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) (exp.f64 (*.f64 (-.f64 a b) #s(literal -2 binary64))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 b a)) #s(literal 9 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 b a)) #s(literal 6 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 a b) #s(literal -3 binary64))))) (+.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) (exp.f64 (*.f64 (-.f64 a b) #s(literal -2 binary64))))))
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 (-.f64 a b) #s(literal -2 binary64))) (expm1.f64 (-.f64 b a))) (*.f64 (expm1.f64 (-.f64 b a)) #s(literal 1 binary64))) (*.f64 (expm1.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a))))
(/.f64 (fma.f64 (exp.f64 (*.f64 (-.f64 a b) #s(literal -3 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) (exp.f64 (*.f64 (-.f64 a b) #s(literal -2 binary64)))) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) (exp.f64 (*.f64 (-.f64 a b) #s(literal -2 binary64)))) #s(literal 1 binary64))) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) (exp.f64 (*.f64 (-.f64 a b) #s(literal -2 binary64)))) (+.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) (exp.f64 (*.f64 (-.f64 a b) #s(literal -2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 a b) #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (-.f64 a b) #s(literal -2 binary64)))) (neg.f64 (*.f64 (expm1.f64 (-.f64 b a)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (-.f64 a b) #s(literal -2 binary64)))) (neg.f64 (expm1.f64 (-.f64 b a))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 (-.f64 a b) #s(literal -3 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) (exp.f64 (*.f64 (-.f64 a b) #s(literal -2 binary64)))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 (-.f64 a b) #s(literal -3 binary64))) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (-.f64 b a)) (exp.f64 (-.f64 a b))))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 (-.f64 a b) #s(literal -3 binary64))) #s(literal 1 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) (exp.f64 (*.f64 (-.f64 a b) #s(literal -2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)))) #s(literal 1 binary64))
(/.f64 (expm1.f64 (*.f64 (-.f64 a b) #s(literal -2 binary64))) (*.f64 (expm1.f64 (-.f64 b a)) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (*.f64 (-.f64 a b) #s(literal -2 binary64))) (expm1.f64 (-.f64 b a)))
(/.f64 (+.f64 (exp.f64 (*.f64 (-.f64 a b) #s(literal -3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) (exp.f64 (*.f64 (-.f64 a b) #s(literal -2 binary64)))) #s(literal 1 binary64)))
(/.f64 (+.f64 (exp.f64 (*.f64 (-.f64 a b) #s(literal -3 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (-.f64 b a)) (exp.f64 (-.f64 a b)))))
(/.f64 (+.f64 (exp.f64 (*.f64 (-.f64 a b) #s(literal -3 binary64))) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) (exp.f64 (*.f64 (-.f64 a b) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)) #s(literal 1 binary64))
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eval67.0ms (1.1%)

Memory
-5.0MiB live, 157.5MiB allocated
Compiler

Compiled 16 212 to 2 520 computations (84.5% saved)

prune35.0ms (0.6%)

Memory
-10.9MiB live, 77.2MiB allocated
Pruning

16 alts after pruning (11 fresh and 5 done)

PrunedKeptTotal
New5045509
Fresh066
Picked145
Done011
Total50516521
Accuracy
100.0%
Counts
521 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.6%
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
▶67.2%
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (- a b)) (exp.f64 a))) #s(literal 1 binary64)))
67.2%
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1 binary64)))
✓84.4%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
61.7%
#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)))))
✓57.4%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
✓38.1%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
23.3%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)))))
▶47.7%
#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 (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) #s(literal 1 binary64)) b) #s(literal 1/2 binary64)) b) b)))))
▶23.6%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) b) b)))))
▶37.9%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
▶37.3%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
✓36.9%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
36.5%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
14.0%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 5 binary64)) #s(literal -1/480 binary64)))))
✓39.2%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
Compiler

Compiled 716 to 484 computations (32.4% saved)

simplify149.0ms (2.5%)

Memory
24.3MiB live, 213.9MiB 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 (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) #s(literal 1 binary64)) b) #s(literal 1/2 binary64)) b) b))))
cost-diff0
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) #s(literal 1 binary64)) b) #s(literal 1/2 binary64)) b) b)))))
cost-diff1
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) #s(literal 1 binary64)) b) #s(literal 1/2 binary64)) b)
cost-diff1
(*.f64 (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) #s(literal 1 binary64)) b) #s(literal 1/2 binary64)) b) b)
cost-diff0
#s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
cost-diff0
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
cost-diff1
(fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
cost-diff8
(-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)))
cost-diff0
#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 (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
cost-diff0
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
cost-diff0
#s(approx (exp (- a b)) (exp.f64 a))
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (exp (- a b)) (exp.f64 a)))
cost-diff0
(+.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (- a b)) (exp.f64 a))) #s(literal 1 binary64))
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (- a b)) (exp.f64 a))) #s(literal 1 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055496
077488
1138484
2333460
31253456
45481456
08041426
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (- a b)) (exp.f64 a))) #s(literal 1 binary64)))
#s(literal 1 binary64)
(+.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (- a b)) (exp.f64 a))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (exp (- a b)) (exp.f64 a)))
#s(approx (exp (- a b)) (exp.f64 a))
(exp.f64 a)
a
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
#s(literal -1/4 binary64)
b
#s(literal 1/2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.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))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
(fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
(-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)))
(fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64))
#s(literal -1/8 binary64)
b
#s(literal 1/2 binary64)
(fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
a
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
#s(literal -1/4 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) #s(literal 1 binary64)) b) #s(literal 1/2 binary64)) b) b)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) #s(literal 1 binary64)) b) #s(literal 1/2 binary64)) b) b))))
#s(literal 1 binary64)
#s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) #s(literal 1 binary64)) b) #s(literal 1/2 binary64)) b) b)))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) #s(literal 1 binary64)) b) #s(literal 1/2 binary64)) b) b))
(*.f64 (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) #s(literal 1 binary64)) b) #s(literal 1/2 binary64)) b) b)
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) #s(literal 1 binary64)) b) #s(literal 1/2 binary64)) b)
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) #s(literal 1 binary64)) b) #s(literal 1/2 binary64))
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) #s(literal 1 binary64)) b)
(+.f64 (/.f64 #s(literal 2 binary64) b) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) b)
#s(literal 2 binary64)
b
#s(literal 1/2 binary64)
Outputs
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (- a b)) (exp.f64 a))) #s(literal 1 binary64)))
#s(literal 1 binary64)
(+.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (- a b)) (exp.f64 a))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (exp (- a b)) (exp.f64 a)))
#s(approx (exp (- a b)) (exp.f64 a))
(exp.f64 a)
a
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
#s(literal -1/4 binary64)
b
#s(literal 1/2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.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))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) (fma.f64 #s(literal 1/4 binary64) (-.f64 a b) #s(literal 1/2 binary64))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) (fma.f64 #s(literal 1/4 binary64) (-.f64 a b) #s(literal 1/2 binary64)))
(fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/4 binary64) (-.f64 a b) #s(literal 1/2 binary64))
(-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)))
#s(literal 1/4 binary64)
(fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64))
#s(literal -1/8 binary64)
b
#s(literal 1/2 binary64)
(fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
a
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
#s(literal -1/4 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) #s(literal 1 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) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (fma.f64 (*.f64 b b) #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) b) b b))))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) #s(literal 1 binary64)) b) #s(literal 1/2 binary64)) b) b))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (fma.f64 (*.f64 b b) #s(literal 1/2 binary64) (fma.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) (*.f64 (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) #s(literal 1 binary64)) b) #s(literal 1/2 binary64)) b) b)))
#s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (fma.f64 (*.f64 b b) #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) b) b b))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) #s(literal 1 binary64)) b) #s(literal 1/2 binary64)) b) b))
#s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (fma.f64 (*.f64 b b) #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) b) b b)))
(*.f64 (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) #s(literal 1 binary64)) b) #s(literal 1/2 binary64)) b) b)
(fma.f64 (*.f64 b b) #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) b) b b))
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) #s(literal 1 binary64)) b) #s(literal 1/2 binary64)) b)
(fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) #s(literal 1 binary64)) b) #s(literal 1/2 binary64))
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) #s(literal 1 binary64)) b) #s(literal -1/2 binary64))
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) #s(literal 1 binary64)) b)
(+.f64 (/.f64 #s(literal 2 binary64) b) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) b)
#s(literal 2 binary64)
b
#s(literal 1/2 binary64)

localize112.0ms (1.9%)

Memory
3.7MiB live, 208.0MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.08203125
(*.f64 (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) #s(literal 1 binary64)) b) #s(literal 1/2 binary64)) b) b)
accuracy1.0058797755391151
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) #s(literal 1 binary64)) b) #s(literal 1/2 binary64)) b) b)))))
accuracy9.780693010158883
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) #s(literal 1 binary64)) b) #s(literal 1/2 binary64)) b)
accuracy10.230648790972172
#s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) #s(literal 1 binary64)) b) #s(literal 1/2 binary64)) b) b)))
accuracy0.0
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
accuracy1.0511402591563235
#s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
accuracy8.71815475559219
(-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)))
accuracy10.123920049952279
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
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))))
accuracy1.0058797755391151
#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)))))
accuracy10.230648790972172
#s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) b) b)))
accuracy23.347538986358195
#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))
accuracy1.5205082933734815
#s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
accuracy10.123920049952279
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
accuracy0.015625
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (- a b)) (exp.f64 a))) #s(literal 1 binary64)))
accuracy0.0234375
(+.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (- a b)) (exp.f64 a))) #s(literal 1 binary64))
accuracy0.02734375
(/.f64 #s(literal 1 binary64) #s(approx (exp (- a b)) (exp.f64 a)))
accuracy10.610927451181956
#s(approx (exp (- a b)) (exp.f64 a))
Samples
31.0ms119×0exit
30.0ms101×0valid
19.0ms36×1valid
Compiler

Compiled 758 to 104 computations (86.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 59.0ms
ival-add: 18.0ms (30.6% of total)
ival-mult: 14.0ms (23.8% of total)
ival-div: 12.0ms (20.4% of total)
ival-exp: 6.0ms (10.2% of total)
adjust: 3.0ms (5.1% of total)
ival-sub: 3.0ms (5.1% of total)
ival-neg: 1.0ms (1.7% of total)
exact: 1.0ms (1.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series17.0ms (0.3%)

Memory
-11.3MiB live, 29.7MiB allocated
Counts
20 → 91
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (- a b)) (exp.f64 a))) #s(literal 1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (- a b)) (exp.f64 a))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (exp (- a b)) (exp.f64 a)))
#s(approx (exp (- a b)) (exp.f64 a))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.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))
(-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)))
(fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
(*.f64 (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) #s(literal 1 binary64)) b) #s(literal 1/2 binary64)) b) b)
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) #s(literal 1 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) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) #s(literal 1 binary64)) b) #s(literal 1/2 binary64)) b) b)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) #s(literal 1 binary64)) b) #s(literal 1/2 binary64)) b) b))))
#s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) #s(literal 1 binary64)) b) #s(literal 1/2 binary64)) b) b)))
Outputs
(/ 1 (+ 1 (/ 1 (exp (neg b)))))
(+ (/ 1 (+ 1 (/ 1 (exp (neg b))))) (/ a (* (exp (neg b)) (pow (+ 1 (/ 1 (exp (neg b)))) 2))))
(+ (* a (+ (* a (- (/ 1 (* (pow (exp (neg b)) 2) (pow (+ 1 (/ 1 (exp (neg b)))) 3))) (* 1/2 (/ 1 (* (exp (neg b)) (pow (+ 1 (/ 1 (exp (neg b)))) 2)))))) (/ 1 (* (exp (neg b)) (pow (+ 1 (/ 1 (exp (neg b)))) 2))))) (/ 1 (+ 1 (/ 1 (exp (neg b))))))
(+ (* a (+ (* a (- (+ (* a (- (* 1/6 (/ 1 (* (exp (neg b)) (pow (+ 1 (/ 1 (exp (neg b)))) 2)))) (+ (* -1 (/ (- (/ 1 (* (pow (exp (neg b)) 2) (pow (+ 1 (/ 1 (exp (neg b)))) 3))) (* 1/2 (/ 1 (* (exp (neg b)) (pow (+ 1 (/ 1 (exp (neg b)))) 2))))) (* (exp (neg b)) (+ 1 (/ 1 (exp (neg b))))))) (* 1/2 (/ 1 (* (pow (exp (neg b)) 2) (pow (+ 1 (/ 1 (exp (neg b)))) 3))))))) (/ 1 (* (pow (exp (neg b)) 2) (pow (+ 1 (/ 1 (exp (neg b)))) 3)))) (* 1/2 (/ 1 (* (exp (neg b)) (pow (+ 1 (/ 1 (exp (neg b)))) 2)))))) (/ 1 (* (exp (neg b)) (pow (+ 1 (/ 1 (exp (neg b)))) 2))))) (/ 1 (+ 1 (/ 1 (exp (neg b))))))
(+ 1 (/ 1 (exp (neg b))))
(+ 1 (+ (* -1 (/ a (exp (neg b)))) (/ 1 (exp (neg b)))))
(+ 1 (+ (* a (- (* 1/2 (/ a (exp (neg b)))) (/ 1 (exp (neg b))))) (/ 1 (exp (neg b)))))
(+ 1 (+ (* a (- (* a (+ (* -1/6 (/ a (exp (neg b)))) (* 1/2 (/ 1 (exp (neg b)))))) (/ 1 (exp (neg b))))) (/ 1 (exp (neg b)))))
(/ 1 (exp (neg b)))
(+ (* -1 (/ a (exp (neg b)))) (/ 1 (exp (neg b))))
(+ (* a (- (* 1/2 (/ a (exp (neg b)))) (/ 1 (exp (neg b))))) (/ 1 (exp (neg b))))
(+ (* a (- (* a (+ (* -1/6 (/ a (exp (neg b)))) (* 1/2 (/ 1 (exp (neg b)))))) (/ 1 (exp (neg b))))) (/ 1 (exp (neg b))))
(exp (neg b))
(+ (exp (neg b)) (* a (exp (neg b))))
(+ (exp (neg b)) (* a (+ (exp (neg b)) (* 1/2 (* a (exp (neg b)))))))
(+ (exp (neg b)) (* a (+ (exp (neg b)) (* a (+ (* 1/6 (* a (exp (neg b)))) (* 1/2 (exp (neg b))))))))
(/ 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))))
(* 1/2 (+ 1 (* -1/2 b)))
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* 1/4 (+ 1 (* -1/2 b))))))
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* a (- (* 1/2 (+ 1/2 (* -1 (- (* 1/4 b) (+ (* 1/8 b) (* 1/2 (- (* 1/2 b) (* 1/4 b)))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b))))))
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* a (- (+ (* 1/2 (+ 1/2 (* -1 (- (* 1/4 b) (+ (* 1/8 b) (* 1/2 (- (* 1/2 b) (* 1/4 b)))))))) (* a (- (* 1/2 (+ 1/6 (* -1 (- (* 1/12 b) (+ (* 1/24 b) (+ (* 1/4 (- (* 1/2 b) (* 1/4 b))) (* 1/2 (- (* 1/4 b) (+ (* 1/8 b) (* 1/2 (- (* 1/2 b) (* 1/4 b)))))))))))) (+ (* 1/24 (+ 1 (* -1/2 b))) (+ (* 1/4 (- (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* 1/4 (+ 1 (* -1/2 b))))) (* 1/2 (- (* 1/2 (+ 1/2 (* -1 (- (* 1/4 b) (+ (* 1/8 b) (* 1/2 (- (* 1/2 b) (* 1/4 b)))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* 1/4 (+ 1 (* -1/2 b))))))))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b))))))
(+ 1/2 (* -1/4 b))
(+ 1/2 (+ (* -1/4 b) (* 1/4 a)))
(/ 1 (+ 1 (/ 1 (exp (- a b)))))
(+ 1 (/ 1 (exp (- a b))))
(/ 1 (exp (- a b)))
(exp (- a b))
(/ (exp a) (+ (exp a) (exp b)))
(/ (+ (exp a) (* -1 (/ (* b (exp a)) (+ 1 (exp a))))) (+ 1 (exp a)))
(* 1/4 a)
(* a (+ 1/4 (+ (* -1/4 (/ b a)) (* 1/2 (/ 1 a)))))
(/ 1 (+ 1 (/ 1 (exp (neg (+ b (* -1 a)))))))
(+ 1 (/ 1 (exp (neg (+ b (* -1 a))))))
(/ 1 (exp (neg (+ b (* -1 a)))))
(exp (neg (+ b (* -1 a))))
(* -1 (* a (- (* -1 (/ (+ 1/2 (* -1/4 b)) a)) 1/4)))
(/ 1 (+ 1 (/ 1 (exp a))))
(+ (* -1 (/ b (* (exp a) (pow (+ 1 (/ 1 (exp a))) 2)))) (/ 1 (+ 1 (/ 1 (exp a)))))
(+ (* b (- (* b (- (/ 1 (* (pow (exp a) 2) (pow (+ 1 (/ 1 (exp a))) 3))) (* 1/2 (/ 1 (* (exp a) (pow (+ 1 (/ 1 (exp a))) 2)))))) (/ 1 (* (exp a) (pow (+ 1 (/ 1 (exp a))) 2))))) (/ 1 (+ 1 (/ 1 (exp a)))))
(+ (* b (- (* b (- (+ (* b (- (/ 1 (* (pow (exp a) 2) (pow (+ 1 (/ 1 (exp a))) 3))) (+ (* 1/6 (/ 1 (* (exp a) (pow (+ 1 (/ 1 (exp a))) 2)))) (/ 1 (* (pow (exp a) 3) (pow (+ 1 (/ 1 (exp a))) 4)))))) (/ 1 (* (pow (exp a) 2) (pow (+ 1 (/ 1 (exp a))) 3)))) (* 1/2 (/ 1 (* (exp a) (pow (+ 1 (/ 1 (exp a))) 2)))))) (/ 1 (* (exp a) (pow (+ 1 (/ 1 (exp a))) 2))))) (/ 1 (+ 1 (/ 1 (exp a)))))
(+ 1 (/ 1 (exp a)))
(+ 1 (+ (/ 1 (exp a)) (/ b (exp a))))
(+ 1 (+ (* b (+ (* 1/2 (/ b (exp a))) (/ 1 (exp a)))) (/ 1 (exp a))))
(+ 1 (+ (* b (+ (* b (+ (* 1/6 (/ b (exp a))) (* 1/2 (/ 1 (exp a))))) (/ 1 (exp a)))) (/ 1 (exp a))))
(/ 1 (exp a))
(+ (/ 1 (exp a)) (/ b (exp a)))
(+ (* b (+ (* 1/2 (/ b (exp a))) (/ 1 (exp a)))) (/ 1 (exp a)))
(+ (* b (+ (* b (+ (* 1/6 (/ b (exp a))) (* 1/2 (/ 1 (exp a))))) (/ 1 (exp a)))) (/ 1 (exp a)))
(exp a)
(+ (exp a) (* -1 (* b (exp a))))
(+ (exp a) (* b (+ (* -1 (exp a)) (* 1/2 (* b (exp a))))))
(+ (exp a) (* b (+ (* -1 (exp a)) (* b (+ (* -1/6 (* b (exp a))) (* 1/2 (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 (* b (- (* 1/48 (pow b 2)) 1/4)))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
2
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
1/4
(+ 1/2 (* 1/4 a))
(/ 2 b)
(/ (+ 2 b) b)
(/ (+ 2 (* b (+ 1 (* 1/2 b)))) b)
(* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2)))
(* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a))))))
(* -1/4 b)
(* b (- (* 1/2 (/ 1 b)) 1/4))
(+ 1 (exp b))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(* b (- (+ (* 1/4 (/ a b)) (* 1/2 (/ 1 b))) 1/4))
(* 1/2 b)
(* b (+ 1/2 (/ 1 b)))
(* b (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(/ 1 (+ 1 (/ 1 (exp (+ a (* -1 b))))))
(+ 1 (/ 1 (exp (+ a (* -1 b)))))
(/ 1 (exp (+ a (* -1 b))))
(exp (+ a (* -1 b)))
(* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))))
(* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))
(* -1 (* b (+ 1/4 (* -1 (/ (+ 1/2 (* 1/4 a)) b)))))
(* -1 (* b (- (* -1 (/ (+ 1 (* 2 (/ 1 b))) b)) 1/2)))
Calls

6 calls:

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

simplify170.0ms (2.9%)

Memory
-14.2MiB live, 220.4MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03801792
112721550
251081509
081301398
Stop Event
1×iter limit
1×node limit
Counts
91 → 91
Calls
Call 1
Inputs
(/ 1 (+ 1 (/ 1 (exp (neg b)))))
(+ (/ 1 (+ 1 (/ 1 (exp (neg b))))) (/ a (* (exp (neg b)) (pow (+ 1 (/ 1 (exp (neg b)))) 2))))
(+ (* a (+ (* a (- (/ 1 (* (pow (exp (neg b)) 2) (pow (+ 1 (/ 1 (exp (neg b)))) 3))) (* 1/2 (/ 1 (* (exp (neg b)) (pow (+ 1 (/ 1 (exp (neg b)))) 2)))))) (/ 1 (* (exp (neg b)) (pow (+ 1 (/ 1 (exp (neg b)))) 2))))) (/ 1 (+ 1 (/ 1 (exp (neg b))))))
(+ (* a (+ (* a (- (+ (* a (- (* 1/6 (/ 1 (* (exp (neg b)) (pow (+ 1 (/ 1 (exp (neg b)))) 2)))) (+ (* -1 (/ (- (/ 1 (* (pow (exp (neg b)) 2) (pow (+ 1 (/ 1 (exp (neg b)))) 3))) (* 1/2 (/ 1 (* (exp (neg b)) (pow (+ 1 (/ 1 (exp (neg b)))) 2))))) (* (exp (neg b)) (+ 1 (/ 1 (exp (neg b))))))) (* 1/2 (/ 1 (* (pow (exp (neg b)) 2) (pow (+ 1 (/ 1 (exp (neg b)))) 3))))))) (/ 1 (* (pow (exp (neg b)) 2) (pow (+ 1 (/ 1 (exp (neg b)))) 3)))) (* 1/2 (/ 1 (* (exp (neg b)) (pow (+ 1 (/ 1 (exp (neg b)))) 2)))))) (/ 1 (* (exp (neg b)) (pow (+ 1 (/ 1 (exp (neg b)))) 2))))) (/ 1 (+ 1 (/ 1 (exp (neg b))))))
(+ 1 (/ 1 (exp (neg b))))
(+ 1 (+ (* -1 (/ a (exp (neg b)))) (/ 1 (exp (neg b)))))
(+ 1 (+ (* a (- (* 1/2 (/ a (exp (neg b)))) (/ 1 (exp (neg b))))) (/ 1 (exp (neg b)))))
(+ 1 (+ (* a (- (* a (+ (* -1/6 (/ a (exp (neg b)))) (* 1/2 (/ 1 (exp (neg b)))))) (/ 1 (exp (neg b))))) (/ 1 (exp (neg b)))))
(/ 1 (exp (neg b)))
(+ (* -1 (/ a (exp (neg b)))) (/ 1 (exp (neg b))))
(+ (* a (- (* 1/2 (/ a (exp (neg b)))) (/ 1 (exp (neg b))))) (/ 1 (exp (neg b))))
(+ (* a (- (* a (+ (* -1/6 (/ a (exp (neg b)))) (* 1/2 (/ 1 (exp (neg b)))))) (/ 1 (exp (neg b))))) (/ 1 (exp (neg b))))
(exp (neg b))
(+ (exp (neg b)) (* a (exp (neg b))))
(+ (exp (neg b)) (* a (+ (exp (neg b)) (* 1/2 (* a (exp (neg b)))))))
(+ (exp (neg b)) (* a (+ (exp (neg b)) (* a (+ (* 1/6 (* a (exp (neg b)))) (* 1/2 (exp (neg b))))))))
(/ 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))))
(* 1/2 (+ 1 (* -1/2 b)))
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* 1/4 (+ 1 (* -1/2 b))))))
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* a (- (* 1/2 (+ 1/2 (* -1 (- (* 1/4 b) (+ (* 1/8 b) (* 1/2 (- (* 1/2 b) (* 1/4 b)))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b))))))
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* a (- (+ (* 1/2 (+ 1/2 (* -1 (- (* 1/4 b) (+ (* 1/8 b) (* 1/2 (- (* 1/2 b) (* 1/4 b)))))))) (* a (- (* 1/2 (+ 1/6 (* -1 (- (* 1/12 b) (+ (* 1/24 b) (+ (* 1/4 (- (* 1/2 b) (* 1/4 b))) (* 1/2 (- (* 1/4 b) (+ (* 1/8 b) (* 1/2 (- (* 1/2 b) (* 1/4 b)))))))))))) (+ (* 1/24 (+ 1 (* -1/2 b))) (+ (* 1/4 (- (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* 1/4 (+ 1 (* -1/2 b))))) (* 1/2 (- (* 1/2 (+ 1/2 (* -1 (- (* 1/4 b) (+ (* 1/8 b) (* 1/2 (- (* 1/2 b) (* 1/4 b)))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* 1/4 (+ 1 (* -1/2 b))))))))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b))))))
(+ 1/2 (* -1/4 b))
(+ 1/2 (+ (* -1/4 b) (* 1/4 a)))
(/ 1 (+ 1 (/ 1 (exp (- a b)))))
(+ 1 (/ 1 (exp (- a b))))
(/ 1 (exp (- a b)))
(exp (- a b))
(/ (exp a) (+ (exp a) (exp b)))
(/ (+ (exp a) (* -1 (/ (* b (exp a)) (+ 1 (exp a))))) (+ 1 (exp a)))
(* 1/4 a)
(* a (+ 1/4 (+ (* -1/4 (/ b a)) (* 1/2 (/ 1 a)))))
(/ 1 (+ 1 (/ 1 (exp (neg (+ b (* -1 a)))))))
(+ 1 (/ 1 (exp (neg (+ b (* -1 a))))))
(/ 1 (exp (neg (+ b (* -1 a)))))
(exp (neg (+ b (* -1 a))))
(* -1 (* a (- (* -1 (/ (+ 1/2 (* -1/4 b)) a)) 1/4)))
(/ 1 (+ 1 (/ 1 (exp a))))
(+ (* -1 (/ b (* (exp a) (pow (+ 1 (/ 1 (exp a))) 2)))) (/ 1 (+ 1 (/ 1 (exp a)))))
(+ (* b (- (* b (- (/ 1 (* (pow (exp a) 2) (pow (+ 1 (/ 1 (exp a))) 3))) (* 1/2 (/ 1 (* (exp a) (pow (+ 1 (/ 1 (exp a))) 2)))))) (/ 1 (* (exp a) (pow (+ 1 (/ 1 (exp a))) 2))))) (/ 1 (+ 1 (/ 1 (exp a)))))
(+ (* b (- (* b (- (+ (* b (- (/ 1 (* (pow (exp a) 2) (pow (+ 1 (/ 1 (exp a))) 3))) (+ (* 1/6 (/ 1 (* (exp a) (pow (+ 1 (/ 1 (exp a))) 2)))) (/ 1 (* (pow (exp a) 3) (pow (+ 1 (/ 1 (exp a))) 4)))))) (/ 1 (* (pow (exp a) 2) (pow (+ 1 (/ 1 (exp a))) 3)))) (* 1/2 (/ 1 (* (exp a) (pow (+ 1 (/ 1 (exp a))) 2)))))) (/ 1 (* (exp a) (pow (+ 1 (/ 1 (exp a))) 2))))) (/ 1 (+ 1 (/ 1 (exp a)))))
(+ 1 (/ 1 (exp a)))
(+ 1 (+ (/ 1 (exp a)) (/ b (exp a))))
(+ 1 (+ (* b (+ (* 1/2 (/ b (exp a))) (/ 1 (exp a)))) (/ 1 (exp a))))
(+ 1 (+ (* b (+ (* b (+ (* 1/6 (/ b (exp a))) (* 1/2 (/ 1 (exp a))))) (/ 1 (exp a)))) (/ 1 (exp a))))
(/ 1 (exp a))
(+ (/ 1 (exp a)) (/ b (exp a)))
(+ (* b (+ (* 1/2 (/ b (exp a))) (/ 1 (exp a)))) (/ 1 (exp a)))
(+ (* b (+ (* b (+ (* 1/6 (/ b (exp a))) (* 1/2 (/ 1 (exp a))))) (/ 1 (exp a)))) (/ 1 (exp a)))
(exp a)
(+ (exp a) (* -1 (* b (exp a))))
(+ (exp a) (* b (+ (* -1 (exp a)) (* 1/2 (* b (exp a))))))
(+ (exp a) (* b (+ (* -1 (exp a)) (* b (+ (* -1/6 (* b (exp a))) (* 1/2 (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 (* b (- (* 1/48 (pow b 2)) 1/4)))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
2
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
1/4
(+ 1/2 (* 1/4 a))
(/ 2 b)
(/ (+ 2 b) b)
(/ (+ 2 (* b (+ 1 (* 1/2 b)))) b)
(* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2)))
(* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a))))))
(* -1/4 b)
(* b (- (* 1/2 (/ 1 b)) 1/4))
(+ 1 (exp b))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(* b (- (+ (* 1/4 (/ a b)) (* 1/2 (/ 1 b))) 1/4))
(* 1/2 b)
(* b (+ 1/2 (/ 1 b)))
(* b (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(/ 1 (+ 1 (/ 1 (exp (+ a (* -1 b))))))
(+ 1 (/ 1 (exp (+ a (* -1 b)))))
(/ 1 (exp (+ a (* -1 b))))
(exp (+ a (* -1 b)))
(* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))))
(* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))
(* -1 (* b (+ 1/4 (* -1 (/ (+ 1/2 (* 1/4 a)) b)))))
(* -1 (* b (- (* -1 (/ (+ 1 (* 2 (/ 1 b))) b)) 1/2)))
Outputs
(/ 1 (+ 1 (/ 1 (exp (neg b)))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
(+ (/ 1 (+ 1 (/ 1 (exp (neg b))))) (/ a (* (exp (neg b)) (pow (+ 1 (/ 1 (exp (neg b)))) 2))))
(fma.f64 (/.f64 a (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64))) (exp.f64 b) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
(+ (* a (+ (* a (- (/ 1 (* (pow (exp (neg b)) 2) (pow (+ 1 (/ 1 (exp (neg b)))) 3))) (* 1/2 (/ 1 (* (exp (neg b)) (pow (+ 1 (/ 1 (exp (neg b)))) 2)))))) (/ 1 (* (exp (neg b)) (pow (+ 1 (/ 1 (exp (neg b)))) 2))))) (/ 1 (+ 1 (/ 1 (exp (neg b))))))
(fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (exp.f64 b) (/.f64 (exp.f64 (-.f64 b (neg.f64 b))) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64))) a (/.f64 (exp.f64 b) (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 (- (+ (* a (- (* 1/6 (/ 1 (* (exp (neg b)) (pow (+ 1 (/ 1 (exp (neg b)))) 2)))) (+ (* -1 (/ (- (/ 1 (* (pow (exp (neg b)) 2) (pow (+ 1 (/ 1 (exp (neg b)))) 3))) (* 1/2 (/ 1 (* (exp (neg b)) (pow (+ 1 (/ 1 (exp (neg b)))) 2))))) (* (exp (neg b)) (+ 1 (/ 1 (exp (neg b))))))) (* 1/2 (/ 1 (* (pow (exp (neg b)) 2) (pow (+ 1 (/ 1 (exp (neg b)))) 3))))))) (/ 1 (* (pow (exp (neg b)) 2) (pow (+ 1 (/ 1 (exp (neg b)))) 3)))) (* 1/2 (/ 1 (* (exp (neg b)) (pow (+ 1 (/ 1 (exp (neg b)))) 2)))))) (/ 1 (* (exp (neg b)) (pow (+ 1 (/ 1 (exp (neg b)))) 2))))) (/ 1 (+ 1 (/ 1 (exp (neg b))))))
(fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 (exp.f64 b) #s(literal 1/6 binary64)) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 3 binary64))) (exp.f64 (-.f64 (neg.f64 b) b))) (/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (exp.f64 b) (/.f64 (exp.f64 (-.f64 b (neg.f64 b))) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 (exp.f64 (neg.f64 b)) #s(literal 1 binary64))))) a (/.f64 (fma.f64 #s(literal -1/2 binary64) (exp.f64 b) (/.f64 (exp.f64 (-.f64 b (neg.f64 b))) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64)))) a (/.f64 (exp.f64 b) (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 (/ 1 (exp (neg b))))
(+.f64 (exp.f64 b) #s(literal 1 binary64))
(+ 1 (+ (* -1 (/ a (exp (neg b)))) (/ 1 (exp (neg b)))))
(fma.f64 a (neg.f64 (exp.f64 b)) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
(+ 1 (+ (* a (- (* 1/2 (/ a (exp (neg b)))) (/ 1 (exp (neg b))))) (/ 1 (exp (neg b)))))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) (exp.f64 (neg.f64 b))) a (+.f64 (exp.f64 b) #s(literal 1 binary64)))
(+ 1 (+ (* a (- (* a (+ (* -1/6 (/ a (exp (neg b)))) (* 1/2 (/ 1 (exp (neg b)))))) (/ 1 (exp (neg b))))) (/ 1 (exp (neg b)))))
(fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) a #s(literal 1/2 binary64)) (exp.f64 (neg.f64 b))) a (neg.f64 (exp.f64 b))) a (+.f64 (exp.f64 b) #s(literal 1 binary64)))
(/ 1 (exp (neg b)))
(exp.f64 b)
(+ (* -1 (/ a (exp (neg b)))) (/ 1 (exp (neg b))))
(/.f64 (-.f64 #s(literal 1 binary64) a) (exp.f64 (neg.f64 b)))
(+ (* a (- (* 1/2 (/ a (exp (neg b)))) (/ 1 (exp (neg b))))) (/ 1 (exp (neg b))))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) (exp.f64 (neg.f64 b))) a (exp.f64 b))
(+ (* a (- (* a (+ (* -1/6 (/ a (exp (neg b)))) (* 1/2 (/ 1 (exp (neg b)))))) (/ 1 (exp (neg b))))) (/ 1 (exp (neg b))))
(fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) a #s(literal 1/2 binary64)) (exp.f64 (neg.f64 b))) a (neg.f64 (exp.f64 b))) a (exp.f64 b))
(exp (neg b))
(exp.f64 (neg.f64 b))
(+ (exp (neg b)) (* a (exp (neg b))))
(/.f64 (+.f64 #s(literal 1 binary64) a) (exp.f64 b))
(+ (exp (neg b)) (* a (+ (exp (neg b)) (* 1/2 (* a (exp (neg b)))))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) (exp.f64 (neg.f64 b))) a (exp.f64 (neg.f64 b)))
(+ (exp (neg b)) (* a (+ (exp (neg b)) (* a (+ (* 1/6 (* a (exp (neg b)))) (* 1/2 (exp (neg b))))))))
(fma.f64 (fma.f64 (*.f64 (exp.f64 (neg.f64 b)) (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64))) a (exp.f64 (neg.f64 b))) a (exp.f64 (neg.f64 b)))
(/ 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 (fma.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))) #s(literal -3/2 binary64)) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64))))) a (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
(+ (* 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 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/6 binary64)) (+.f64 (exp.f64 b) #s(literal 1 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 3 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 4 binary64)))))) a (/.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))) #s(literal -3/2 binary64)) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64)))) a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64))))) a (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
(* 1/2 (+ 1 (* -1/2 b)))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* 1/4 (+ 1 (* -1/2 b))))))
(fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* a (- (* 1/2 (+ 1/2 (* -1 (- (* 1/4 b) (+ (* 1/8 b) (* 1/2 (- (* 1/2 b) (* 1/4 b)))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b))))))
(fma.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) b (*.f64 #s(literal -1/8 binary64) b)) #s(literal -1/2 binary64) #s(literal 1/4 binary64)) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) #s(literal 1/2 binary64) (fma.f64 #s(literal -1/16 binary64) b #s(literal 1/8 binary64)))) a (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* a (- (+ (* 1/2 (+ 1/2 (* -1 (- (* 1/4 b) (+ (* 1/8 b) (* 1/2 (- (* 1/2 b) (* 1/4 b)))))))) (* a (- (* 1/2 (+ 1/6 (* -1 (- (* 1/12 b) (+ (* 1/24 b) (+ (* 1/4 (- (* 1/2 b) (* 1/4 b))) (* 1/2 (- (* 1/4 b) (+ (* 1/8 b) (* 1/2 (- (* 1/2 b) (* 1/4 b)))))))))))) (+ (* 1/24 (+ 1 (* -1/2 b))) (+ (* 1/4 (- (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* 1/4 (+ 1 (* -1/2 b))))) (* 1/2 (- (* 1/2 (+ 1/2 (* -1 (- (* 1/4 b) (+ (* 1/8 b) (* 1/2 (- (* 1/2 b) (* 1/4 b)))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* 1/4 (+ 1 (* -1/2 b))))))))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (* -1 (- (* 1/2 b) (* 1/4 b))))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b))))))
(fma.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) b) (fma.f64 #s(literal 1/16 binary64) b (*.f64 (fma.f64 #s(literal 1/8 binary64) b (*.f64 #s(literal -1/8 binary64) b)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64) #s(literal 1/12 binary64)) (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) b (*.f64 #s(literal -1/8 binary64) b)) #s(literal -1/2 binary64) #s(literal 1/4 binary64)) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) #s(literal 1/2 binary64) (fma.f64 #s(literal -1/16 binary64) b #s(literal 1/8 binary64)))) #s(literal 1/2 binary64) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) #s(literal 1/4 binary64) (fma.f64 #s(literal -1/48 binary64) b #s(literal 1/24 binary64))))) a (-.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) b (*.f64 #s(literal -1/8 binary64) b)) #s(literal -1/2 binary64) #s(literal 1/4 binary64)) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) #s(literal 1/2 binary64) (fma.f64 #s(literal -1/16 binary64) b #s(literal 1/8 binary64))))) a (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
(+ 1/2 (* -1/4 b))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/4 b) (* 1/4 a)))
(fma.f64 #s(literal -1/4 binary64) (-.f64 b a) #s(literal 1/2 binary64))
(/ 1 (+ 1 (/ 1 (exp (- a b)))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)))
(+ 1 (/ 1 (exp (- a b))))
(+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64))
(/ 1 (exp (- a b)))
(exp.f64 (-.f64 b a))
(exp (- a b))
(exp.f64 (-.f64 a b))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (+ (exp a) (* -1 (/ (* b (exp a)) (+ 1 (exp a))))) (+ 1 (exp a)))
(/.f64 (-.f64 (exp.f64 a) (*.f64 (exp.f64 a) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(* 1/4 a)
(*.f64 #s(literal 1/4 binary64) a)
(* a (+ 1/4 (+ (* -1/4 (/ b a)) (* 1/2 (/ 1 a)))))
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a) #s(literal 1/4 binary64)) a)
(/ 1 (+ 1 (/ 1 (exp (neg (+ b (* -1 a)))))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)))
(+ 1 (/ 1 (exp (neg (+ b (* -1 a))))))
(+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64))
(/ 1 (exp (neg (+ b (* -1 a)))))
(exp.f64 (-.f64 b a))
(exp (neg (+ b (* -1 a))))
(exp.f64 (-.f64 a b))
(* -1 (* a (- (* -1 (/ (+ 1/2 (* -1/4 b)) a)) 1/4)))
(*.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a)) (neg.f64 a))
(/ 1 (+ 1 (/ 1 (exp a))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))
(+ (* -1 (/ b (* (exp a) (pow (+ 1 (/ 1 (exp a))) 2)))) (/ 1 (+ 1 (/ 1 (exp a)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))) (/.f64 (/.f64 b (exp.f64 a)) (pow.f64 (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(+ (* b (- (* b (- (/ 1 (* (pow (exp a) 2) (pow (+ 1 (/ 1 (exp a))) 3))) (* 1/2 (/ 1 (* (exp a) (pow (+ 1 (/ 1 (exp a))) 2)))))) (/ 1 (* (exp a) (pow (+ 1 (/ 1 (exp a))) 2))))) (/ 1 (+ 1 (/ 1 (exp a)))))
(fma.f64 (fma.f64 (/.f64 (fma.f64 (exp.f64 (neg.f64 a)) #s(literal -1/2 binary64) (/.f64 (exp.f64 (-.f64 (neg.f64 a) a)) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))) (pow.f64 (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) #s(literal 2 binary64))) b (/.f64 (neg.f64 (exp.f64 (neg.f64 a))) (pow.f64 (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) #s(literal 2 binary64)))) b (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))))
(+ (* b (- (* b (- (+ (* b (- (/ 1 (* (pow (exp a) 2) (pow (+ 1 (/ 1 (exp a))) 3))) (+ (* 1/6 (/ 1 (* (exp a) (pow (+ 1 (/ 1 (exp a))) 2)))) (/ 1 (* (pow (exp a) 3) (pow (+ 1 (/ 1 (exp a))) 4)))))) (/ 1 (* (pow (exp a) 2) (pow (+ 1 (/ 1 (exp a))) 3)))) (* 1/2 (/ 1 (* (exp a) (pow (+ 1 (/ 1 (exp a))) 2)))))) (/ 1 (* (exp a) (pow (+ 1 (/ 1 (exp a))) 2))))) (/ 1 (+ 1 (/ 1 (exp a)))))
(fma.f64 (fma.f64 (fma.f64 (-.f64 (-.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 a) a)) (pow.f64 (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1/6 binary64) (exp.f64 a)) (pow.f64 (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 (exp.f64 (neg.f64 (*.f64 #s(literal 3 binary64) a))) (pow.f64 (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) #s(literal 4 binary64)))) b (/.f64 (fma.f64 (exp.f64 (neg.f64 a)) #s(literal -1/2 binary64) (/.f64 (exp.f64 (-.f64 (neg.f64 a) a)) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))) (pow.f64 (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) #s(literal 2 binary64)))) b (/.f64 (neg.f64 (exp.f64 (neg.f64 a))) (pow.f64 (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) #s(literal 2 binary64)))) b (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))))
(+ 1 (/ 1 (exp a)))
(+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))
(+ 1 (+ (/ 1 (exp a)) (/ b (exp a))))
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) b) (exp.f64 a)) #s(literal 1 binary64))
(+ 1 (+ (* b (+ (* 1/2 (/ b (exp a))) (/ 1 (exp a)))) (/ 1 (exp a))))
(+.f64 (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) b)) (exp.f64 a)) #s(literal 1 binary64))
(+ 1 (+ (* b (+ (* b (+ (* 1/6 (/ b (exp a))) (* 1/2 (/ 1 (exp a))))) (/ 1 (exp a)))) (/ 1 (exp a))))
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))) (exp.f64 a)) b (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))
(/ 1 (exp a))
(exp.f64 (neg.f64 a))
(+ (/ 1 (exp a)) (/ b (exp a)))
(/.f64 (+.f64 #s(literal 1 binary64) b) (exp.f64 a))
(+ (* b (+ (* 1/2 (/ b (exp a))) (/ 1 (exp a)))) (/ 1 (exp a)))
(/.f64 (fma.f64 (*.f64 b b) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) b)) (exp.f64 a))
(+ (* b (+ (* b (+ (* 1/6 (/ b (exp a))) (* 1/2 (/ 1 (exp a))))) (/ 1 (exp a)))) (/ 1 (exp a)))
(fma.f64 (*.f64 b b) (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (exp.f64 a)) (/.f64 (+.f64 #s(literal 1 binary64) b) (exp.f64 a)))
(exp a)
(exp.f64 a)
(+ (exp a) (* -1 (* b (exp a))))
(*.f64 (fma.f64 #s(literal -1 binary64) b #s(literal 1 binary64)) (exp.f64 a))
(+ (exp a) (* b (+ (* -1 (exp a)) (* 1/2 (* b (exp a))))))
(fma.f64 (*.f64 (exp.f64 a) (fma.f64 #s(literal 1/2 binary64) b #s(literal -1 binary64))) b (exp.f64 a))
(+ (exp a) (* b (+ (* -1 (exp a)) (* b (+ (* -1/6 (* b (exp a))) (* 1/2 (exp a)))))))
(fma.f64 (fma.f64 (*.f64 (exp.f64 a) (fma.f64 #s(literal -1/6 binary64) b #s(literal 1/2 binary64))) b (neg.f64 (exp.f64 a))) b (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 (exp.f64 a) (*.f64 (exp.f64 a) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(fma.f64 (neg.f64 (fma.f64 (/.f64 (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))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (-.f64 (/.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))) (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))))) b (/.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 a) (/.f64 (neg.f64 (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) b (/.f64 (neg.f64 (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) b (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))
2
#s(literal 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))
1/4
#s(literal 1/4 binary64)
(+ 1/2 (* 1/4 a))
(fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 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)
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)) b)
(* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2)))
(/.f64 (*.f64 (neg.f64 b) (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))
(* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a))))))
(*.f64 (/.f64 (+.f64 (/.f64 (neg.f64 (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (exp.f64 a) b)) (+.f64 #s(literal 1 binary64) (exp.f64 a))) b)
(* -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 (exp b))
(+.f64 (exp.f64 b) #s(literal 1 binary64))
(* 1/2 (pow b 2))
(*.f64 (*.f64 b b) #s(literal 1/2 binary64))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) b (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 b b)) b #s(literal 1 binary64))) b)
(* b (- (+ (* 1/4 (/ a b)) (* 1/2 (/ 1 b))) 1/4))
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)) b) #s(literal 1/4 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 (/.f64 #s(literal 2 binary64) (*.f64 b b)) b #s(literal 1 binary64)))
(/ 1 (+ 1 (/ 1 (exp (+ a (* -1 b))))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)))
(+ 1 (/ 1 (exp (+ a (* -1 b)))))
(+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64))
(/ 1 (exp (+ a (* -1 b))))
(exp.f64 (-.f64 b a))
(exp (+ a (* -1 b)))
(exp.f64 (-.f64 a b))
(* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))))
(*.f64 (/.f64 (fma.f64 (/.f64 (exp.f64 a) b) #s(literal -1 binary64) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (neg.f64 b))
(* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))
(*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) b)) (neg.f64 b))
(* -1 (* b (+ 1/4 (* -1 (/ (+ 1/2 (* 1/4 a)) b)))))
(*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)) b)) (neg.f64 b))
(* -1 (* b (- (* -1 (/ (+ 1 (* 2 (/ 1 b))) b)) 1/2)))
(*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) b) b) b)) (neg.f64 b))

rewrite199.0ms (3.4%)

Memory
16.8MiB live, 293.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055409
077409
1357405
23118405
09695387
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
20 → 329
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (- a b)) (exp.f64 a))) #s(literal 1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (- a b)) (exp.f64 a))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (exp (- a b)) (exp.f64 a)))
#s(approx (exp (- a b)) (exp.f64 a))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.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))
(-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)))
(fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
#s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
(*.f64 (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) #s(literal 1 binary64)) b) #s(literal 1/2 binary64)) b) b)
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) #s(literal 1 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) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) #s(literal 1 binary64)) b) #s(literal 1/2 binary64)) b) b)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) #s(literal 1 binary64)) b) #s(literal 1/2 binary64)) b) b))))
#s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) #s(literal 1 binary64)) b) #s(literal 1/2 binary64)) b) b)))
Outputs
(*.f64 (neg.f64 (pow.f64 (+.f64 (pow.f64 #s(approx (exp (- a b)) (exp.f64 a)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (+.f64 (pow.f64 #s(approx (exp (- a b)) (exp.f64 a)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 (+.f64 (pow.f64 #s(approx (exp (- a b)) (exp.f64 a)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 (+.f64 (pow.f64 #s(approx (exp (- a b)) (exp.f64 a)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (-.f64 (pow.f64 #s(approx (exp (- a b)) (exp.f64 a)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (expm1.f64 (neg.f64 (log.f64 #s(approx (exp (- a b)) (exp.f64 a))))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 (pow.f64 #s(approx (exp (- a b)) (exp.f64 a)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (expm1.f64 (neg.f64 (log.f64 #s(approx (exp (- a b)) (exp.f64 a))))))
(*.f64 (pow.f64 (+.f64 (pow.f64 #s(approx (exp (- a b)) (exp.f64 a)) #s(literal -3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (exp (- a b)) (exp.f64 a)) #s(literal -1 binary64))) (pow.f64 #s(approx (exp (- a b)) (exp.f64 a)) #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 (pow.f64 #s(approx (exp (- a b)) (exp.f64 a)) #s(literal -3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (exp (- a b)) (exp.f64 a)) #s(literal -1 binary64))) (pow.f64 #s(approx (exp (- a b)) (exp.f64 a)) #s(literal -2 binary64))))
(*.f64 (pow.f64 (+.f64 (pow.f64 #s(approx (exp (- a b)) (exp.f64 a)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 (pow.f64 #s(approx (exp (- a b)) (exp.f64 a)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (exp (- a b)) (exp.f64 a)) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 (pow.f64 #s(approx (exp (- a b)) (exp.f64 a)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 #s(approx (exp (- a b)) (exp.f64 a)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(pow.f64 (exp.f64 (log1p.f64 (pow.f64 #s(approx (exp (- a b)) (exp.f64 a)) #s(literal -1 binary64)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (+.f64 (pow.f64 #s(approx (exp (- a b)) (exp.f64 a)) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 #s(approx (exp (- a b)) (exp.f64 a)) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (+.f64 (pow.f64 #s(approx (exp (- a b)) (exp.f64 a)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
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(fabs.f64 (pow.f64 #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) #s(literal 1 binary64)) b) #s(literal 1/2 binary64)) b) b))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) #s(literal 1 binary64)) b) #s(literal 1/2 binary64)) b) b)))) #s(literal -1 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) #s(literal 1 binary64)) b) #s(literal 1/2 binary64)) b) b)))) #s(literal -1 binary64))) (sinh.f64 (*.f64 (log.f64 #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) #s(literal 1 binary64)) b) #s(literal 1/2 binary64)) b) b)))) #s(literal -1 binary64))))
(*.f64 #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) #s(literal 1 binary64)) b) #s(literal 1/2 binary64)) b) b))) #s(literal 1 binary64))
(pow.f64 (pow.f64 #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) #s(literal 1 binary64)) b) #s(literal 1/2 binary64)) b) b))) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) #s(literal 1 binary64)) b) #s(literal 1/2 binary64)) b) b))) #s(literal 1 binary64))
#s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) #s(literal 1 binary64)) b) #s(literal 1/2 binary64)) b) b)))
(/.f64 (neg.f64 #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) #s(literal 1 binary64)) b) #s(literal 1/2 binary64)) b) b)))) #s(literal -1 binary64))
(/.f64 #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) #s(literal 1 binary64)) b) #s(literal 1/2 binary64)) b) b))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) #s(literal 1 binary64)) b) #s(literal 1/2 binary64)) b) b))) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) #s(literal 1 binary64)) b) #s(literal 1/2 binary64)) b) b)))) #s(literal -1 binary64))))

eval74.0ms (1.2%)

Memory
5.2MiB live, 158.0MiB allocated
Compiler

Compiled 20 345 to 2 118 computations (89.6% saved)

prune21.0ms (0.4%)

Memory
20.2MiB live, 59.3MiB allocated
Pruning

18 alts after pruning (11 fresh and 7 done)

PrunedKeptTotal
New4296435
Fresh156
Picked235
Done145
Total43318451
Accuracy
100.0%
Counts
451 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.6%
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
✓67.2%
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (- a b)) (exp.f64 a))) #s(literal 1 binary64)))
67.2%
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1 binary64)))
✓84.4%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
61.7%
#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)))))
✓38.1%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
47.7%
#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 (fma.f64 #s(literal 1/2 binary64) b (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 b b)) b #s(literal 1 binary64))) b)))))
✓23.6%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) b) b)))))
39.2%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 #s(approx (* (+ (/ (+ (/ 2 b) 1) b) 1/2) b) (/.f64 #s(literal 2 binary64) b)) b)))))
✓37.3%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
39.6%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
37.7%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)) b) #s(literal 1/4 binary64)) b))))
3.7%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal 1/4 binary64) a))))
3.6%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
✓36.9%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
36.5%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
14.0%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 5 binary64)) #s(literal -1/480 binary64)))))
✓39.2%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
Compiler

Compiled 1 318 to 552 computations (58.1% saved)

regimes76.0ms (1.3%)

Memory
-20.9MiB live, 109.0MiB allocated
Counts
28 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) b) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)) b) #s(literal 1/4 binary64)) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 #s(approx (* (+ (/ (+ (/ 2 b) 1) b) 1/2) b) (/.f64 #s(literal 2 binary64) b)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.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 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 b b)) b #s(literal 1 binary64))) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) #s(literal 1 binary64)) b) #s(literal 1/2 binary64)) b) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 5 binary64)) #s(literal -1/480 binary64)))))
(/.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 #s(literal 1 binary64) (+.f64 (exp.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (- a b)) (exp.f64 a))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 a b))) #s(literal 1 binary64)))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(pow.f64 (pow.f64 (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (fma.f64 (neg.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (exp.f64 a)) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
Outputs
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 a b))) #s(literal 1 binary64)))
Calls

5 calls:

43.0ms
b
11.0ms
a
9.0ms
(exp.f64 b)
6.0ms
(exp.f64 a)
6.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Results
AccuracySegmentsBranch
100.0%1a
100.0%1b
100.0%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
100.0%1(exp.f64 a)
100.0%1(exp.f64 b)
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes37.0ms (0.6%)

Memory
11.0MiB live, 87.9MiB allocated
Counts
23 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) b) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)) b) #s(literal 1/4 binary64)) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 #s(approx (* (+ (/ (+ (/ 2 b) 1) b) 1/2) b) (/.f64 #s(literal 2 binary64) b)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.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 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 b b)) b #s(literal 1 binary64))) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) #s(literal 1 binary64)) b) #s(literal 1/2 binary64)) b) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 5 binary64)) #s(literal -1/480 binary64)))))
(/.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 #s(literal 1 binary64) (+.f64 (exp.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (- a b)) (exp.f64 a))) #s(literal 1 binary64)))
Outputs
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)))
Calls

5 calls:

11.0ms
b
8.0ms
(exp.f64 a)
7.0ms
a
5.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
5.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
100.0%1a
100.0%1b
100.0%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
100.0%1(exp.f64 a)
100.0%1(exp.f64 b)
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes39.0ms (0.7%)

Memory
-8.4MiB live, 73.9MiB 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 (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) b) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)) b) #s(literal 1/4 binary64)) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 #s(approx (* (+ (/ (+ (/ 2 b) 1) b) 1/2) b) (/.f64 #s(literal 2 binary64) b)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.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 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 b b)) b #s(literal 1 binary64))) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) #s(literal 1 binary64)) b) #s(literal 1/2 binary64)) b) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 5 binary64)) #s(literal -1/480 binary64)))))
(/.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 #s(literal 1 binary64) (+.f64 (exp.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1 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) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
Calls

5 calls:

12.0ms
(exp.f64 a)
11.0ms
a
6.0ms
b
5.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
5.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
98.4%2a
99.9%3b
84.4%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
98.3%2(exp.f64 a)
99.9%3(exp.f64 b)
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes31.0ms (0.5%)

Memory
-8.6MiB live, 68.6MiB allocated
Counts
19 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) b) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)) b) #s(literal 1/4 binary64)) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 #s(approx (* (+ (/ (+ (/ 2 b) 1) b) 1/2) b) (/.f64 #s(literal 2 binary64) b)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.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 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 b b)) b #s(literal 1 binary64))) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) #s(literal 1 binary64)) b) #s(literal 1/2 binary64)) b) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 5 binary64)) #s(literal -1/480 binary64)))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
Outputs
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
Calls

5 calls:

7.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
7.0ms
(exp.f64 b)
6.0ms
a
6.0ms
b
4.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
65.6%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
77.9%2(exp.f64 a)
79.7%2b
77.6%2(exp.f64 b)
77.9%2a
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes28.0ms (0.5%)

Memory
23.1MiB live, 67.0MiB allocated
Counts
18 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) b) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)) b) #s(literal 1/4 binary64)) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 #s(approx (* (+ (/ (+ (/ 2 b) 1) b) 1/2) b) (/.f64 #s(literal 2 binary64) b)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.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 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 b b)) b #s(literal 1 binary64))) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) b) #s(literal 1 binary64)) b) #s(literal 1/2 binary64)) b) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 5 binary64)) #s(literal -1/480 binary64)))))
Outputs
#s(approx (/ (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 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 b b)) b #s(literal 1 binary64))) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
Calls

5 calls:

9.0ms
a
5.0ms
b
4.0ms
(exp.f64 a)
4.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
65.6%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
64.4%2(exp.f64 b)
64.8%2a
64.8%2(exp.f64 a)
64.4%2b
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes15.0ms (0.3%)

Memory
-1.9MiB live, 36.6MiB 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 (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) b) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)) b) #s(literal 1/4 binary64)) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 #s(approx (* (+ (/ (+ (/ 2 b) 1) b) 1/2) b) (/.f64 #s(literal 2 binary64) b)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
Calls

3 calls:

6.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
5.0ms
a
4.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
61.7%1a
61.7%1(exp.f64 a)
64.5%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 11 to 11 computations (0% saved)

regimes25.0ms (0.4%)

Memory
-23.3MiB live, 54.3MiB allocated
Counts
14 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) b) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)) b) #s(literal 1/4 binary64)) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 #s(approx (* (+ (/ (+ (/ 2 b) 1) b) 1/2) b) (/.f64 #s(literal 2 binary64) b)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
Calls

5 calls:

7.0ms
a
6.0ms
(exp.f64 b)
4.0ms
b
3.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
3.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
57.4%1a
57.4%1(exp.f64 a)
59.8%2b
59.8%2(exp.f64 b)
59.9%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes9.0ms (0.1%)

Memory
25.1MiB live, 25.1MiB 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 (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) b) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)))))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #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))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
Calls

3 calls:

3.0ms
b
2.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
2.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
59.7%2b
59.7%2(exp.f64 b)
59.7%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 11 to 11 computations (0% saved)

regimes11.0ms (0.2%)

Memory
-20.1MiB live, 22.5MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) b) b)))))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) b) b)))))
Calls

3 calls:

5.0ms
(exp.f64 b)
3.0ms
b
2.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Results
AccuracySegmentsBranch
59.7%2b
59.7%2(exp.f64 b)
59.7%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 11 to 11 computations (0% saved)

regimes12.0ms (0.2%)

Memory
28.6MiB live, 28.6MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
Calls

5 calls:

3.0ms
b
3.0ms
a
2.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
2.0ms
(exp.f64 a)
2.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
39.6%1a
39.6%1(exp.f64 a)
39.6%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
39.6%1b
39.6%1(exp.f64 b)
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes24.0ms (0.4%)

Memory
-19.1MiB live, 19.9MiB allocated
Accuracy

Total -23.5b remaining (-60.5%)

Threshold costs -23.5b (-60.5%)

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

5 calls:

2.0ms
b
2.0ms
a
1.0ms
(exp.f64 b)
1.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
39.2%1b
39.2%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
39.2%1(exp.f64 a)
39.2%1a
39.2%1(exp.f64 b)
Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch52.0ms (0.9%)

Memory
-16.5MiB live, 22.3MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
10.0ms
-2261324520.3907156
-39553790.01811961
Samples
6.0ms112×0valid
Compiler

Compiled 221 to 186 computations (15.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-exp: 2.0ms (55.8% of total)
ival-div: 1.0ms (27.9% of total)
ival-add: 1.0ms (27.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch8.0ms (0.1%)

Memory
20.6MiB live, 20.6MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
7.0ms
9.144861596449218e+90
2.715215775327158e+91
Samples
4.0ms80×0valid
Compiler

Compiled 216 to 171 computations (20.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-div: 1.0ms (47.2% of total)
ival-exp: 1.0ms (47.2% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.4353750361067594
0.4997569945256589
Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.4353750361067594
0.4997569945256589
Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.4353750361067594
0.4997569945256589
Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.06551449025524862
0.4353750361067594
Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.296870323439462
+inf
Compiler

Compiled 11 to 11 computations (0% saved)

simplify74.0ms (1.3%)

Memory
-19.0MiB live, 98.8MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0105626
1161620
2329572
31103572
45155572
Stop Event
1×node limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 a b))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)))
(if (<=.f64 a #s(literal -40000000 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 26999999999999999434305679754975092625273144643383743619328122327466693356157629876718796800 binary64)) (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 8106479329266893/18014398509481984 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 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 b b)) b #s(literal 1 binary64))) b))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 8106479329266893/18014398509481984 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 8106479329266893/18014398509481984 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))))
(if (<=.f64 (exp.f64 b) #s(literal 2 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) b) b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
Outputs
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 a b))) #s(literal 1 binary64)))
(pow.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 a b)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)))
(pow.f64 (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)) #s(literal -1 binary64))
(if (<=.f64 a #s(literal -40000000 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 -40000000 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 26999999999999999434305679754975092625273144643383743619328122327466693356157629876718796800 binary64)) (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))))
(if (<=.f64 b #s(literal 26999999999999999434305679754975092625273144643383743619328122327466693356157629876718796800 binary64)) (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (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))))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 8106479329266893/18014398509481984 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 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 b b)) b #s(literal 1 binary64))) b))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 8106479329266893/18014398509481984 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 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 b b)) b #s(literal 1 binary64))) b))) #s(literal -1 binary64))) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 8106479329266893/18014398509481984 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 8106479329266893/18014398509481984 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #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 a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 8106479329266893/18014398509481984 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 8106479329266893/18014398509481984 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))) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 3602879701896397/36028797018963968 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))) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))))
(if (<=.f64 (exp.f64 b) #s(literal 2 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) b) b))))))
(if (<=.f64 (exp.f64 b) #s(literal 2 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (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))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (+ (* (neg (exp a)) (/ b (+ (exp a) 1))) (exp a)) (+ (exp a) 1)) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))

soundness1.1s (18.4%)

Memory
13.2MiB live, 1 046.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0617
01017
13817
230417
3411017
0837317
03031489
19581346
237241296
082511229
0120516
1377499
21481473
37402450
08979415
03801792
112721550
251081509
081301398
04422511
115642217
271022168
082332003
028153
045151
1192151
21440151
08092151
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
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 768 to 286 computations (62.8% saved)

preprocess84.0ms (1.4%)

Memory
-0.7MiB live, 121.8MiB allocated
Compiler

Compiled 1 284 to 246 computations (80.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...