Quotient of sum of exps

Time bar (total: 9.0s)

analyze6.0ms (0.1%)

Memory
-16.5MiB live, 23.1MiB 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 (11.6%)

Memory
47.0MiB live, 3 115.3MiB allocated
Samples
465.0ms8 256×0valid
159.0ms2 864×0exit
Precisions
Click to see histograms. Total time spent on operations: 336.0ms
ival-exp: 183.0ms (54.4% of total)
ival-div: 75.0ms (22.3% of total)
ival-add: 64.0ms (19% of total)
ival-true: 8.0ms (2.4% of total)
ival-assert: 5.0ms (1.5% of total)
Bogosity

preprocess90.0ms (1%)

Memory
-0.3MiB live, 79.0MiB allocated
Algorithm
1×egg-herbie
Rules
432×times-frac
352×div-sub
224×distribute-lft-in
204×distribute-rgt-in
182×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01648
14048
27548
314448
425943
546843
664543
790043
8123643
9146843
10164442
11182742
12193342
13209942
14217842
15220842
16221642
17221842
18221842
068
0108
1118
0118
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
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)))

explain89.0ms (1%)

Memory
-23.4MiB live, 296.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
20-0-(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
00-0-(+.f64 (exp.f64 a) (exp.f64 b))
00-0-a
00-0-(exp.f64 b)
00-0-b
00-0-(exp.f64 a)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))o/o10
↳(exp.f64 a)overflow1
↳(+.f64 (exp.f64 a) (exp.f64 b))overflow70
↳(exp.f64 a)overflow1
↳(exp.f64 b)overflow69
/.f64(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))u/u10
↳(exp.f64 a)underflow55
↳(+.f64 (exp.f64 a) (exp.f64 b))underflow1
↳(exp.f64 a)underflow55
↳(exp.f64 b)underflow53
Confusion
Predicted +Predicted -
+20
-0254
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+200
-00254
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0254
12
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
32.0ms512×0valid
Compiler

Compiled 62 to 28 computations (54.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-exp: 9.0ms (48.1% of total)
ival-div: 7.0ms (37.4% of total)
ival-add: 3.0ms (16% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
3.1MiB live, 3.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.2%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 10 to 6 computations (40% saved)

simplify4.0ms (0%)

Memory
14.1MiB live, 14.2MiB 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)))
Rules
4×lift-exp.f64
4×lower-+.f32
4×lower-exp.f32
2×lift-+.f64
2×lift-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0619
01019
11119
01119
Stop Event
1×iter limit
1×saturated
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)))
(exp.f64 a)
a
(+.f64 (exp.f64 a) (exp.f64 b))
(exp.f64 b)
b

localize22.0ms (0.2%)

Memory
-11.8MiB live, 69.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(exp.f64 b)
✓accuracy100.0%
(exp.f64 a)
✓accuracy100.0%
(+.f64 (exp.f64 a) (exp.f64 b))
✓accuracy99.2%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Samples
15.0ms256×0valid
Compiler

Compiled 21 to 8 computations (61.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-exp: 5.0ms (58.9% of total)
ival-div: 2.0ms (23.6% of total)
ival-add: 1.0ms (11.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
21.5MiB live, 21.5MiB allocated
Counts
4 → 72
Calls
Call 1
Inputs
#<alt (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))>
#<alt (exp.f64 a)>
#<alt (+.f64 (exp.f64 a) (exp.f64 b))>
#<alt (exp.f64 b)>
Outputs
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (+ (* 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))))>
#<alt (+ (* 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))))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))>
#<alt (+ (* 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))))>
#<alt (+ (* 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))))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt 1>
#<alt (+ 1 a)>
#<alt (+ 1 (* a (+ 1 (* 1/2 a))))>
#<alt (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (+ a (exp b)))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (+ b (exp a)))>
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))>
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt 1>
#<alt (+ 1 b)>
#<alt (+ 1 (* b (+ 1 (* 1/2 b))))>
#<alt (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
Calls

18 calls:

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

simplify455.0ms (5.1%)

Memory
-20.9MiB live, 1 127.1MiB allocated
Algorithm
1×egg-herbie
Rules
18 438×lower-fma.f64
18 438×lower-fma.f32
4 430×lower-*.f64
4 430×lower-*.f32
2 966×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0120740
1332725
2963708
33702677
08342640
Stop Event
1×iter limit
1×node limit
Counts
72 → 72
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))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (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))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp 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 b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ 1 (exp a))
(+ 1 (+ b (exp a)))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
1
(+ 1 b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
Outputs
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 (+.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 (neg.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #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 a (fma.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 (/.f64 a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (fma.f64 #s(literal -3/2 binary64) a #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 a (fma.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (fma.f64 a (fma.f64 a (+.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 3/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal -2/3 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 4 binary64))))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (fma.f64 #s(literal -3/2 binary64) a #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 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 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (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 b (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (fma.f64 b #s(literal -1/2 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(fma.f64 (-.f64 (*.f64 b (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 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (fma.f64 b #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64))))) (*.f64 b b) (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
1
#s(literal 1 binary64)
(+ 1 a)
(+.f64 #s(literal 1 binary64) a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (+ a (exp b)))
(+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) a))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (+ b (exp a)))
(+.f64 #s(literal 1 binary64) (+.f64 b (exp.f64 a)))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 a)))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+.f64 (exp.f64 a) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
1
#s(literal 1 binary64)
(+ 1 b)
(+.f64 #s(literal 1 binary64) b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)

rewrite339.0ms (3.8%)

Memory
16.8MiB live, 615.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 200×lower-/.f32
5 198×lower-/.f64
4 032×lower-fma.f64
4 032×lower-fma.f32
3 280×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0617
01017
13217
220317
3193617
0863117
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
4 → 314
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(exp.f64 a)
(+.f64 (exp.f64 a) (exp.f64 b))
(exp.f64 b)
Outputs
(+.f64 (*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (exp.f64 (+.f64 a a))) (*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))))
(+.f64 (*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))) (*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (exp.f64 (+.f64 a a))))
(+.f64 (*.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (exp.f64 a)) (*.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (neg.f64 (exp.f64 b))))
(+.f64 (*.f64 (exp.f64 (+.f64 a a)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))) (*.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))))
(+.f64 (*.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))) (*.f64 (exp.f64 (+.f64 a a)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))))
(+.f64 (*.f64 (exp.f64 a) (/.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))))) (*.f64 (neg.f64 (exp.f64 b)) (/.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))))))
(exp.f64 (*.f64 (-.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) a) #s(literal -1 binary64)))
(exp.f64 (+.f64 a (*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64) a))
(exp.f64 (-.f64 (*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64)) (neg.f64 a)))
(-.f64 #s(literal 0 binary64) (/.f64 (exp.f64 a) (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b))))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (exp.f64 a) (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (exp.f64 a) (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b))))
(-.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (/.f64 (exp.f64 (+.f64 a b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1 binary64)) (/.f64 (/.f64 (exp.f64 a) (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (exp.f64 (neg.f64 a))) (/.f64 (/.f64 (exp.f64 b) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (exp.f64 (neg.f64 a))))
(-.f64 (/.f64 (/.f64 (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (exp.f64 (neg.f64 a))) (/.f64 (/.f64 (exp.f64 (+.f64 a b)) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (exp.f64 (neg.f64 a))))
(fma.f64 (exp.f64 a) (/.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (*.f64 (neg.f64 (exp.f64 b)) (/.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))))))
(fma.f64 (exp.f64 (+.f64 a a)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (*.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))))
(fma.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (*.f64 (exp.f64 (+.f64 a a)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))))
(fma.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (exp.f64 (+.f64 a a)) (*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))))
(fma.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (exp.f64 (+.f64 a a))))
(fma.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (exp.f64 a) (*.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (neg.f64 (exp.f64 b))))
(neg.f64 (/.f64 (exp.f64 a) (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b)))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1 binary64))
(/.f64 (neg.f64 (exp.f64 a)) (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b)))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b))))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (fma.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (-.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (+.f64 a a))) (exp.f64 (*.f64 a #s(literal 4 binary64))))) (*.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 6 binary64))) (pow.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (+.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (exp.f64 (+.f64 a b)))) (*.f64 (exp.f64 a) (-.f64 (exp.f64 (*.f64 a #s(literal 4 binary64))) (pow.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (+.f64 (exp.f64 a) (exp.f64 b))) (*.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (+.f64 (exp.f64 (+.f64 a a)) (+.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))))) (*.f64 (exp.f64 a) (-.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b)) (*.f64 (neg.f64 (exp.f64 a)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (-.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (+.f64 a a))) (exp.f64 (*.f64 a #s(literal 4 binary64)))) (*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (+.f64 (exp.f64 (*.f64 a #s(literal 6 binary64))) (pow.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (exp.f64 (+.f64 a b))) (*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (-.f64 (exp.f64 (*.f64 a #s(literal 4 binary64))) (pow.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (*.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (+.f64 a a)) (+.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))) (*.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (-.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))))
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b)) (exp.f64 (neg.f64 a))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 (neg.f64 a)))
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (neg.f64 (exp.f64 (neg.f64 a))))
(/.f64 (/.f64 (exp.f64 a) (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b))) #s(literal -1 binary64))
(/.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b))))))
(/.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))
(/.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b))) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))))
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(*.f64 (pow.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b)))))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) (exp.f64 a))))
(*.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b)))) (+.f64 (exp.f64 (*.f64 a #s(literal 9 binary64))) (exp.f64 (*.f64 b #s(literal 9 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a #s(literal 6 binary64))) (-.f64 (exp.f64 (*.f64 b #s(literal 6 binary64))) (exp.f64 (*.f64 (+.f64 a b) #s(literal 3 binary64)))))))
(*.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b)))) (-.f64 (exp.f64 (*.f64 a #s(literal 6 binary64))) (exp.f64 (*.f64 b #s(literal 6 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))))
(*.f64 (pow.f64 (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (exp.f64 (*.f64 a #s(literal 6 binary64))) (exp.f64 (*.f64 b #s(literal 6 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a #s(literal 4 binary64))) (+.f64 (exp.f64 (*.f64 b #s(literal 4 binary64))) (exp.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)))))))
(*.f64 (pow.f64 (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (exp.f64 (*.f64 a #s(literal 4 binary64))) (exp.f64 (*.f64 b #s(literal 4 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))))
(exp.f64 b)
(exp.f64 (*.f64 b #s(literal 1 binary64)))
(pow.f64 (exp.f64 b) #s(literal 1 binary64))

eval47.0ms (0.5%)

Memory
23.2MiB live, 90.7MiB allocated
Compiler

Compiled 11 216 to 1 164 computations (89.6% saved)

prune63.0ms (0.7%)

Memory
-3.2MiB live, 110.0MiB allocated
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New4076413
Fresh000
Picked101
Done000
Total4086414
Accuracy
100.0%
Counts
414 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶72.2%
(/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))
72.2%
(/.f64 (exp.f64 a) (/.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b))))))
▶63.6%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
▶61.0%
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 #s(literal 1 binary64) (+.f64 b (exp.f64 a)))))
▶99.2%
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))))
▶85.3%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
Compiler

Compiled 202 to 128 computations (36.6% saved)

simplify574.0ms (6.4%)

Memory
-317.0MiB live, 451.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))
✓cost-diff0
(exp.f64 a)
✓cost-diff384
(/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))
✓cost-diff6272
(fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (+.f64 b (exp.f64 a)))
✓cost-diff0
#s(approx (+ (exp a) (exp b)) (+.f64 #s(literal 1 binary64) (+.f64 b (exp.f64 a))))
✓cost-diff0
(exp.f64 a)
✓cost-diff0
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 #s(literal 1 binary64) (+.f64 b (exp.f64 a)))))
✓cost-diff0
#s(approx (exp b) #s(literal 1 binary64))
✓cost-diff0
(+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))
✓cost-diff0
(exp.f64 a)
✓cost-diff6080
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
✓cost-diff0
(exp.f64 b)
✓cost-diff0
(+.f64 #s(literal 1 binary64) (exp.f64 b))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
✓cost-diff0
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
✓cost-diff0
(exp.f64 a)
✓cost-diff0
(+.f64 (exp.f64 a) (exp.f64 b))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))))
✓cost-diff13056
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a)))
Rules
6 994×lower-fma.f32
6 992×lower-fma.f64
3 094×lower-*.f32
3 088×lower-*.f64
2 258×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037226
066226
196223
2151218
3256217
4505217
5995217
61843217
73276217
85025217
96313217
107007217
117380217
127692217
08042215
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))))
#s(literal 1 binary64)
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a)))
(+.f64 (exp.f64 a) (exp.f64 b))
(exp.f64 a)
a
(exp.f64 b)
b
(exp.f64 (neg.f64 a))
(neg.f64 a)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(exp.f64 b)
b
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(exp.f64 a)
a
(+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))
#s(approx (exp b) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 #s(literal 1 binary64) (+.f64 b (exp.f64 a)))))
(exp.f64 a)
a
#s(approx (+ (exp a) (exp b)) (+.f64 #s(literal 1 binary64) (+.f64 b (exp.f64 a))))
(+.f64 #s(literal 1 binary64) (+.f64 b (exp.f64 a)))
#s(literal 1 binary64)
(+.f64 b (exp.f64 a))
b
(/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))
(fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64))))
(exp.f64 a)
a
(-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))
(exp.f64 (+.f64 b b))
(+.f64 b b)
b
(exp.f64 (+.f64 a b))
(+.f64 a b)
(exp.f64 (*.f64 a #s(literal 3 binary64)))
(*.f64 a #s(literal 3 binary64))
#s(literal 3 binary64)
(+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))
(exp.f64 (*.f64 b #s(literal 3 binary64)))
(*.f64 b #s(literal 3 binary64))
Outputs
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
#s(literal 1 binary64)
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(+.f64 (exp.f64 a) (exp.f64 b))
(exp.f64 a)
a
(exp.f64 b)
b
(exp.f64 (neg.f64 a))
(neg.f64 a)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(exp.f64 b)
b
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (neg.f64 a)) #s(approx (exp b) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 a)
a
(+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))
#s(approx (exp b) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 #s(literal 1 binary64) (+.f64 b (exp.f64 a)))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) b))))
(exp.f64 a)
a
#s(approx (+ (exp a) (exp b)) (+.f64 #s(literal 1 binary64) (+.f64 b (exp.f64 a))))
#s(approx (+ (exp a) (exp b)) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) b)))
(+.f64 #s(literal 1 binary64) (+.f64 b (exp.f64 a)))
(+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) b))
#s(literal 1 binary64)
(+.f64 b (exp.f64 a))
(+.f64 (exp.f64 a) b)
b
(/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))
(/.f64 (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b)))) (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (-.f64 (*.f64 b #s(literal 3 binary64)) a))))
(fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64))))
(-.f64 (exp.f64 (+.f64 a (+.f64 b b))) (*.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (expm1.f64 (-.f64 b a))))
(exp.f64 a)
a
(-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))
(exp.f64 (+.f64 b b))
(+.f64 b b)
b
(exp.f64 (+.f64 a b))
(+.f64 a b)
(exp.f64 (*.f64 a #s(literal 3 binary64)))
(*.f64 a #s(literal 3 binary64))
#s(literal 3 binary64)
(+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))
(exp.f64 (*.f64 b #s(literal 3 binary64)))
(*.f64 b #s(literal 3 binary64))

localize129.0ms (1.4%)

Memory
-16.0MiB live, 260.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(exp.f64 (*.f64 b #s(literal 3 binary64)))
✓accuracy99.3%
(fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64))))
✓accuracy98.8%
(/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))
✓accuracy65.8%
(-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))
✓accuracy100.0%
(+.f64 b (exp.f64 a))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (+.f64 b (exp.f64 a)))
✓accuracy99.2%
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 #s(literal 1 binary64) (+.f64 b (exp.f64 a)))))
✓accuracy78.1%
#s(approx (+ (exp a) (exp b)) (+.f64 #s(literal 1 binary64) (+.f64 b (exp.f64 a))))
✓accuracy100.0%
(exp.f64 a)
✓accuracy100.0%
(+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))
✓accuracy99.2%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
✓accuracy77.8%
#s(approx (exp b) #s(literal 1 binary64))
✓accuracy100.0%
(exp.f64 b)
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (exp.f64 b))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
✓accuracy85.4%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
✓accuracy100.0%
(exp.f64 a)
✓accuracy100.0%
(+.f64 (exp.f64 a) (exp.f64 b))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))))
✓accuracy99.2%
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a)))
Samples
37.0ms78×1valid
20.0ms100×0valid
14.0ms67×0exit
7.0ms10×2valid
2.0ms1×3valid
Compiler

Compiled 203 to 31 computations (84.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 56.0ms
ival-exp: 22.0ms (39.1% of total)
ival-add: 11.0ms (19.5% of total)
ival-div: 8.0ms (14.2% of total)
ival-mult: 7.0ms (12.4% of total)
adjust: 6.0ms (10.7% of total)
ival-sub: 1.0ms (1.8% of total)
ival-neg: 1.0ms (1.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series33.0ms (0.4%)

Memory
12.6MiB live, 53.4MiB allocated
Counts
19 → 384
Calls
Call 1
Inputs
#<alt (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))))>
#<alt (+.f64 (exp.f64 a) (exp.f64 b))>
#<alt (exp.f64 a)>
#<alt #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))>
#<alt (+.f64 #s(literal 1 binary64) (exp.f64 b))>
#<alt (exp.f64 b)>
#<alt (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))>
#<alt (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))>
#<alt #s(approx (exp b) #s(literal 1 binary64))>
#<alt (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 #s(literal 1 binary64) (+.f64 b (exp.f64 a)))))>
#<alt #s(approx (+ (exp a) (exp b)) (+.f64 #s(literal 1 binary64) (+.f64 b (exp.f64 a))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 b (exp.f64 a)))>
#<alt (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64))))>
#<alt (/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))>
#<alt (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))>
#<alt (+.f64 b (exp.f64 a))>
#<alt (exp.f64 (*.f64 b #s(literal 3 binary64)))>
Outputs
#<alt (+ 1 (exp b))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* -1 (+ 1 (exp b)))))))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (+ (* -1 (+ 1 (exp b))) (* a (- (* 1/2 (+ 1 (exp b))) 1/2)))))))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (+ (* -1 (+ 1 (exp b))) (* a (- (+ (* 1/2 (+ 1 (exp b))) (* a (+ 1/6 (* -1/6 (+ 1 (exp b)))))) 1/2)))))))>
#<alt (* (exp (neg a)) (+ (exp a) (exp b)))>
#<alt (* (exp (neg a)) (+ (exp a) (exp b)))>
#<alt (* (exp (neg a)) (+ (exp a) (exp b)))>
#<alt (* (exp (neg a)) (+ (exp a) (exp b)))>
#<alt (* (exp (* -1 a)) (+ (exp a) (exp b)))>
#<alt (* (exp (* -1 a)) (+ (exp a) (exp b)))>
#<alt (* (exp (* -1 a)) (+ (exp a) (exp b)))>
#<alt (* (exp (* -1 a)) (+ (exp a) (exp b)))>
#<alt (* (exp (neg a)) (+ 1 (exp a)))>
#<alt (+ (* b (exp (neg a))) (* (exp (neg a)) (+ 1 (exp a))))>
#<alt (+ (* b (+ (exp (neg a)) (* 1/2 (* b (exp (neg a)))))) (* (exp (neg a)) (+ 1 (exp a))))>
#<alt (+ (* b (+ (exp (neg a)) (* b (+ (* 1/6 (* b (exp (neg a)))) (* 1/2 (exp (neg a))))))) (* (exp (neg a)) (+ 1 (exp a))))>
#<alt (* (exp (neg a)) (+ (exp a) (exp b)))>
#<alt (* (exp (neg a)) (+ (exp a) (exp b)))>
#<alt (* (exp (neg a)) (+ (exp a) (exp b)))>
#<alt (* (exp (neg a)) (+ (exp a) (exp b)))>
#<alt (* (exp (neg a)) (+ (exp a) (exp b)))>
#<alt (* (exp (neg a)) (+ (exp a) (exp b)))>
#<alt (* (exp (neg a)) (+ (exp a) (exp b)))>
#<alt (* (exp (neg a)) (+ (exp a) (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (+ (* a (- (+ (* a (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (* a (- (* 1/6 (/ 1 (+ 1 (exp b)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (+ 1 (exp b))) (/ (* (- (* 1/2 (+ 1 (exp b))) 1/2) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))>
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#<alt (/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) (+ (exp (* 3 a)) (exp (* 3 b))))>
#<alt (/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) (+ (exp (* 3 a)) (exp (* 3 b))))>
#<alt (/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) (+ (exp (* 3 a)) (exp (* 3 b))))>
#<alt (/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) (+ (exp (* 3 a)) (exp (* 3 b))))>
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#<alt (/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a)))))) (+ (exp (* 3 a)) (exp (* 3 b))))>
#<alt (/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a)))))) (+ (exp (* 3 a)) (exp (* 3 b))))>
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#<alt (+ (* b (- (+ (* b (- (/ (* (exp a) (- 2 (* 1/2 (exp a)))) (+ 1 (exp (* 3 a)))) (+ (* 3 (/ (- (/ (* (exp a) (- 2 (exp a))) (+ 1 (exp (* 3 a)))) (* 3 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2)))) (+ 1 (exp (* 3 a))))) (* 9/2 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2)))))) (/ (* (exp a) (- 2 (exp a))) (+ 1 (exp (* 3 a))))) (* 3 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2))))) (+ (/ (exp (* 3 a)) (+ 1 (exp (* 3 a)))) (/ (* (exp a) (- 1 (exp a))) (+ 1 (exp (* 3 a))))))>
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#<alt (/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) (+ (exp (* 3 a)) (exp (* 3 b))))>
#<alt (/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) (+ (exp (* 3 a)) (exp (* 3 b))))>
#<alt (/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) (+ (exp (* 3 a)) (exp (* 3 b))))>
#<alt (/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) (+ (exp (* 3 a)) (exp (* 3 b))))>
#<alt (/ (+ (exp (* 3 a)) (* (exp a) (- (exp (neg (* -2 b))) (exp (- a (* -1 b)))))) (+ (exp (* 3 a)) (exp (* 3 b))))>
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#<alt (- (exp (* 2 b)) (exp (- b (* -1 a))))>
#<alt (- (exp (* 2 b)) (exp (- b (* -1 a))))>
#<alt (exp a)>
#<alt (+ b (exp a))>
#<alt (+ b (exp a))>
#<alt (+ b (exp a))>
#<alt b>
#<alt (* b (+ 1 (/ (exp a) b)))>
#<alt (* b (+ 1 (/ (exp a) b)))>
#<alt (* b (+ 1 (/ (exp a) b)))>
#<alt b>
#<alt (* -1 (* b (- (* -1 (/ (exp a) b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ (exp a) b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ (exp a) b)) 1)))>
#<alt (+ 1 b)>
#<alt (+ 1 (+ a b))>
#<alt (+ 1 (+ b (* a (+ 1 (* 1/2 a)))))>
#<alt (+ 1 (+ b (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))>
#<alt (+ b (exp a))>
#<alt (+ b (exp a))>
#<alt (+ b (exp a))>
#<alt (+ b (exp a))>
#<alt (+ b (exp a))>
#<alt (+ b (exp a))>
#<alt (+ b (exp a))>
#<alt (+ b (exp a))>
#<alt 1>
#<alt (+ 1 (* 3 b))>
#<alt (+ 1 (* b (+ 3 (* 9/2 b))))>
#<alt (+ 1 (* b (+ 3 (* b (+ 9/2 (* 9/2 b))))))>
#<alt (exp (* 3 b))>
#<alt (exp (* 3 b))>
#<alt (exp (* 3 b))>
#<alt (exp (* 3 b))>
#<alt (exp (* 3 b))>
#<alt (exp (* 3 b))>
#<alt (exp (* 3 b))>
#<alt (exp (* 3 b))>
Calls

96 calls:

TimeVariablePointExpression
4.0ms
a
@inf
(/ (+ (* (exp a) (- (exp (+ b b)) (exp (+ a b)))) (exp (* a 3))) (+ (exp (* a 3)) (exp (* b 3))))
3.0ms
a
@0
(+ b (exp a))
2.0ms
b
@inf
(/ 1 (+ 1 (exp b)))
2.0ms
a
@0
(/ (+ (* (exp a) (- (exp (+ b b)) (exp (+ a b)))) (exp (* a 3))) (+ (exp (* a 3)) (exp (* b 3))))
1.0ms
b
@0
(/ (+ (* (exp a) (- (exp (+ b b)) (exp (+ a b)))) (exp (* a 3))) (+ (exp (* a 3)) (exp (* b 3))))

simplify423.0ms (4.7%)

Memory
-5.3MiB live, 514.7MiB allocated
Algorithm
1×egg-herbie
Rules
7 798×lower-fma.f64
7 798×lower-fma.f32
4 750×lower-+.f64
4 750×lower-+.f32
4 182×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05106435
115125898
244925727
086795408
Stop Event
1×iter limit
1×node limit
Counts
384 → 380
Calls
Call 1
Inputs
(+ 1 (exp b))
(+ 1 (+ (exp b) (* a (+ 1 (* -1 (+ 1 (exp b)))))))
(+ 1 (+ (exp b) (* a (+ 1 (+ (* -1 (+ 1 (exp b))) (* a (- (* 1/2 (+ 1 (exp b))) 1/2)))))))
(+ 1 (+ (exp b) (* a (+ 1 (+ (* -1 (+ 1 (exp b))) (* a (- (+ (* 1/2 (+ 1 (exp b))) (* a (+ 1/6 (* -1/6 (+ 1 (exp b)))))) 1/2)))))))
(* (exp (neg a)) (+ (exp a) (exp b)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(* (exp (* -1 a)) (+ (exp a) (exp b)))
(* (exp (* -1 a)) (+ (exp a) (exp b)))
(* (exp (* -1 a)) (+ (exp a) (exp b)))
(* (exp (* -1 a)) (+ (exp a) (exp b)))
(* (exp (neg a)) (+ 1 (exp a)))
(+ (* b (exp (neg a))) (* (exp (neg a)) (+ 1 (exp a))))
(+ (* b (+ (exp (neg a)) (* 1/2 (* b (exp (neg a)))))) (* (exp (neg a)) (+ 1 (exp a))))
(+ (* b (+ (exp (neg a)) (* b (+ (* 1/6 (* b (exp (neg a)))) (* 1/2 (exp (neg a))))))) (* (exp (neg a)) (+ 1 (exp a))))
(* (exp (neg a)) (+ (exp a) (exp b)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(* (exp (neg a)) (+ (exp a) (exp 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 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
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(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
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(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))
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(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ 1 (exp a))))
(+ (* -1 (/ b (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
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(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
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(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
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(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
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(+ (exp a) (exp b))
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1
(+ 1 a)
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1/2
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2
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1
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(/ (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))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(+ 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 b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ 1 (exp a))
(+ 1 (+ b (exp a)))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
1
(+ 1 b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp 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))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (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))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(+ 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 b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ 1 (exp a))
(+ 1 (+ b (exp a)))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ 1 (exp a))
(+ 1 (+ b (exp a)))
(+ 1 (+ b (exp a)))
(+ 1 (+ b (exp a)))
b
(* b (+ 1 (+ (/ 1 b) (/ (exp a) b))))
(* b (+ 1 (+ (/ 1 b) (/ (exp a) b))))
(* b (+ 1 (+ (/ 1 b) (/ (exp a) b))))
b
(* -1 (* b (- (* -1 (/ (+ 1 (exp a)) b)) 1)))
(* -1 (* b (- (* -1 (/ (+ 1 (exp a)) b)) 1)))
(* -1 (* b (- (* -1 (/ (+ 1 (exp a)) b)) 1)))
(+ 2 b)
(+ 2 (+ a b))
(+ 2 (+ b (* a (+ 1 (* 1/2 a)))))
(+ 2 (+ b (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(+ 1 (+ b (exp a)))
(+ 1 (+ b (exp a)))
(+ 1 (+ b (exp a)))
(+ 1 (+ b (exp a)))
(+ 1 (+ b (exp a)))
(+ 1 (+ b (exp a)))
(+ 1 (+ b (exp a)))
(+ 1 (+ b (exp a)))
(- (+ 1 (exp (* 2 b))) (exp b))
(- (+ 1 (+ (exp (* 2 b)) (* a (- (+ 3 (+ (exp (* 2 b)) (* -1 (exp b)))) (exp b))))) (exp b))
(- (+ 1 (+ (exp (* 2 b)) (* a (- (+ 3 (+ (exp (* 2 b)) (+ (* -1 (exp b)) (* a (+ 9/2 (+ (* -1 (exp b)) (+ (* -1/2 (exp b)) (* 1/2 (- (exp (* 2 b)) (exp b)))))))))) (exp b))))) (exp b))
(- (+ 1 (+ (exp (* 2 b)) (* a (- (+ 3 (+ (exp (* 2 b)) (+ (* -1 (exp b)) (* a (+ 9/2 (+ (* -1 (exp b)) (+ (* -1/2 (exp b)) (+ (* 1/2 (- (exp (* 2 b)) (exp b))) (* a (+ 9/2 (+ (* -1 (exp b)) (+ (* -1/6 (exp b)) (* 1/6 (- (exp (* 2 b)) (exp b))))))))))))))) (exp b))))) (exp b))
(+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b)))))
(+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b)))))
(+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b)))))
(+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b)))))
(+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a))))))
(+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a))))))
(+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a))))))
(+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a))))))
(+ (exp (* 3 a)) (* (exp a) (- 1 (exp a))))
(+ (exp (* 3 a)) (+ (* b (* (exp a) (- 2 (exp a)))) (* (exp a) (- 1 (exp a)))))
(+ (exp (* 3 a)) (+ (* b (+ (* b (* (exp a) (- 2 (* 1/2 (exp a))))) (* (exp a) (- 2 (exp a))))) (* (exp a) (- 1 (exp a)))))
(+ (exp (* 3 a)) (+ (* b (+ (* b (+ (* b (* (exp a) (- 4/3 (* 1/6 (exp a))))) (* (exp a) (- 2 (* 1/2 (exp a)))))) (* (exp a) (- 2 (exp a))))) (* (exp a) (- 1 (exp a)))))
(+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b)))))
(+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b)))))
(+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b)))))
(+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b)))))
(+ (exp (* 3 a)) (* (exp a) (- (exp (neg (* -2 b))) (exp (- a (* -1 b))))))
(+ (exp (* 3 a)) (* (exp a) (- (exp (neg (* -2 b))) (exp (- a (* -1 b))))))
(+ (exp (* 3 a)) (* (exp a) (- (exp (neg (* -2 b))) (exp (- a (* -1 b))))))
(+ (exp (* 3 a)) (* (exp a) (- (exp (neg (* -2 b))) (exp (- a (* -1 b))))))
(/ (- (+ 1 (exp (* 2 b))) (exp b)) (+ 1 (exp (* 3 b))))
(- (+ (* a (- (+ (* -1 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 3 (/ 1 (+ 1 (exp (* 3 b))))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b)))))) (+ (* 3 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2))) (/ (exp b) (+ 1 (exp (* 3 b))))))) (+ (/ 1 (+ 1 (exp (* 3 b)))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b)))))) (/ (exp b) (+ 1 (exp (* 3 b)))))
(- (+ (* a (- (+ (* -1 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 3 (/ 1 (+ 1 (exp (* 3 b))))) (+ (* a (- (+ (* -1 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* -1/2 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 1/2 (/ (- (exp (* 2 b)) (exp b)) (+ 1 (exp (* 3 b))))) (* 9/2 (/ 1 (+ 1 (exp (* 3 b)))))))) (+ (* 3 (/ (- (+ (* -1 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 3 (/ 1 (+ 1 (exp (* 3 b))))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b)))))) (+ (* 3 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2))) (/ (exp b) (+ 1 (exp (* 3 b)))))) (+ 1 (exp (* 3 b))))) (* 9/2 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2)))))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b))))))) (+ (* 3 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2))) (/ (exp b) (+ 1 (exp (* 3 b))))))) (+ (/ 1 (+ 1 (exp (* 3 b)))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b)))))) (/ (exp b) (+ 1 (exp (* 3 b)))))
(- (+ (* a (- (+ (* -1 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 3 (/ 1 (+ 1 (exp (* 3 b))))) (+ (* a (- (+ (* -1 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* -1/2 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 1/2 (/ (- (exp (* 2 b)) (exp b)) (+ 1 (exp (* 3 b))))) (+ (* 9/2 (/ 1 (+ 1 (exp (* 3 b))))) (* a (- (+ (* -1 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* -1/6 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 1/6 (/ (- (exp (* 2 b)) (exp b)) (+ 1 (exp (* 3 b))))) (* 9/2 (/ 1 (+ 1 (exp (* 3 b)))))))) (+ (* 3 (/ (- (+ (* -1 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* -1/2 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 1/2 (/ (- (exp (* 2 b)) (exp b)) (+ 1 (exp (* 3 b))))) (* 9/2 (/ 1 (+ 1 (exp (* 3 b)))))))) (+ (* 3 (/ (- (+ (* -1 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 3 (/ 1 (+ 1 (exp (* 3 b))))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b)))))) (+ (* 3 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2))) (/ (exp b) (+ 1 (exp (* 3 b)))))) (+ 1 (exp (* 3 b))))) (* 9/2 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2))))) (+ 1 (exp (* 3 b))))) (+ (* 9/2 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2))) (* 9/2 (/ (- (+ (* -1 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 3 (/ 1 (+ 1 (exp (* 3 b))))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b)))))) (+ (* 3 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2))) (/ (exp b) (+ 1 (exp (* 3 b)))))) (+ 1 (exp (* 3 b))))))))))))) (+ (* 3 (/ (- (+ (* -1 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 3 (/ 1 (+ 1 (exp (* 3 b))))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b)))))) (+ (* 3 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2))) (/ (exp b) (+ 1 (exp (* 3 b)))))) (+ 1 (exp (* 3 b))))) (* 9/2 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2)))))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b))))))) (+ (* 3 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2))) (/ (exp b) (+ 1 (exp (* 3 b))))))) (+ (/ 1 (+ 1 (exp (* 3 b)))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b)))))) (/ (exp b) (+ 1 (exp (* 3 b)))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a)))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a)))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a)))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a)))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (+ 1 (exp (* 3 a))))
(+ (* b (- (/ (* (exp a) (- 2 (exp a))) (+ 1 (exp (* 3 a)))) (* 3 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2))))) (+ (/ (exp (* 3 a)) (+ 1 (exp (* 3 a)))) (/ (* (exp a) (- 1 (exp a))) (+ 1 (exp (* 3 a))))))
(+ (* b (- (+ (* b (- (/ (* (exp a) (- 2 (* 1/2 (exp a)))) (+ 1 (exp (* 3 a)))) (+ (* 3 (/ (- (/ (* (exp a) (- 2 (exp a))) (+ 1 (exp (* 3 a)))) (* 3 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2)))) (+ 1 (exp (* 3 a))))) (* 9/2 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2)))))) (/ (* (exp a) (- 2 (exp a))) (+ 1 (exp (* 3 a))))) (* 3 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2))))) (+ (/ (exp (* 3 a)) (+ 1 (exp (* 3 a)))) (/ (* (exp a) (- 1 (exp a))) (+ 1 (exp (* 3 a))))))
(+ (* b (- (+ (* b (- (+ (* b (- (/ (* (exp a) (- 4/3 (* 1/6 (exp a)))) (+ 1 (exp (* 3 a)))) (+ (* 3 (/ (- (/ (* (exp a) (- 2 (* 1/2 (exp a)))) (+ 1 (exp (* 3 a)))) (+ (* 3 (/ (- (/ (* (exp a) (- 2 (exp a))) (+ 1 (exp (* 3 a)))) (* 3 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2)))) (+ 1 (exp (* 3 a))))) (* 9/2 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2))))) (+ 1 (exp (* 3 a))))) (+ (* 9/2 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2))) (* 9/2 (/ (- (/ (* (exp a) (- 2 (exp a))) (+ 1 (exp (* 3 a)))) (* 3 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2)))) (+ 1 (exp (* 3 a))))))))) (/ (* (exp a) (- 2 (* 1/2 (exp a)))) (+ 1 (exp (* 3 a))))) (+ (* 3 (/ (- (/ (* (exp a) (- 2 (exp a))) (+ 1 (exp (* 3 a)))) (* 3 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2)))) (+ 1 (exp (* 3 a))))) (* 9/2 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2)))))) (/ (* (exp a) (- 2 (exp a))) (+ 1 (exp (* 3 a))))) (* 3 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2))))) (+ (/ (exp (* 3 a)) (+ 1 (exp (* 3 a)))) (/ (* (exp a) (- 1 (exp a))) (+ 1 (exp (* 3 a))))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (neg (* -2 b))) (exp (- a (* -1 b)))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (neg (* -2 b))) (exp (- a (* -1 b)))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (neg (* -2 b))) (exp (- a (* -1 b)))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (neg (* -2 b))) (exp (- a (* -1 b)))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(- 1 (exp a))
(- (+ 1 (* b (- 2 (exp a)))) (exp a))
(- (+ 1 (* b (- (+ 2 (* b (- 2 (* 1/2 (exp a))))) (exp a)))) (exp a))
(- (+ 1 (* b (- (+ 2 (* b (- (+ 2 (* b (- 4/3 (* 1/6 (exp a))))) (* 1/2 (exp a))))) (exp a)))) (exp a))
(- (exp (* 2 b)) (exp (+ a b)))
(- (exp (* 2 b)) (exp (+ a b)))
(- (exp (* 2 b)) (exp (+ a b)))
(- (exp (* 2 b)) (exp (+ a b)))
(- (exp (neg (* -2 b))) (exp (- a (* -1 b))))
(- (exp (neg (* -2 b))) (exp (- a (* -1 b))))
(- (exp (neg (* -2 b))) (exp (- a (* -1 b))))
(- (exp (neg (* -2 b))) (exp (- a (* -1 b))))
(- (exp (* 2 b)) (exp b))
(- (+ (exp (* 2 b)) (* -1 (* a (exp b)))) (exp b))
(- (+ (exp (* 2 b)) (* a (- (* -1/2 (* a (exp b))) (exp b)))) (exp b))
(- (+ (exp (* 2 b)) (* a (- (* a (- (* -1/6 (* a (exp b))) (* 1/2 (exp b)))) (exp b)))) (exp b))
(- (exp (* 2 b)) (exp (+ a b)))
(- (exp (* 2 b)) (exp (+ a b)))
(- (exp (* 2 b)) (exp (+ a b)))
(- (exp (* 2 b)) (exp (+ a b)))
(- (exp (* 2 b)) (exp (- b (* -1 a))))
(- (exp (* 2 b)) (exp (- b (* -1 a))))
(- (exp (* 2 b)) (exp (- b (* -1 a))))
(- (exp (* 2 b)) (exp (- b (* -1 a))))
(exp a)
(+ b (exp a))
(+ b (exp a))
(+ b (exp a))
b
(* b (+ 1 (/ (exp a) b)))
(* b (+ 1 (/ (exp a) b)))
(* b (+ 1 (/ (exp a) b)))
b
(* -1 (* b (- (* -1 (/ (exp a) b)) 1)))
(* -1 (* b (- (* -1 (/ (exp a) b)) 1)))
(* -1 (* b (- (* -1 (/ (exp a) b)) 1)))
(+ 1 b)
(+ 1 (+ a b))
(+ 1 (+ b (* a (+ 1 (* 1/2 a)))))
(+ 1 (+ b (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(+ b (exp a))
(+ b (exp a))
(+ b (exp a))
(+ b (exp a))
(+ b (exp a))
(+ b (exp a))
(+ b (exp a))
(+ b (exp a))
1
(+ 1 (* 3 b))
(+ 1 (* b (+ 3 (* 9/2 b))))
(+ 1 (* b (+ 3 (* b (+ 9/2 (* 9/2 b))))))
(exp (* 3 b))
(exp (* 3 b))
(exp (* 3 b))
(exp (* 3 b))
(exp (* 3 b))
(exp (* 3 b))
(exp (* 3 b))
(exp (* 3 b))
Outputs
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (+ (exp b) (* a (+ 1 (* -1 (+ 1 (exp b)))))))
(+.f64 (exp.f64 b) (fma.f64 (exp.f64 b) (neg.f64 a) #s(literal 1 binary64)))
(+ 1 (+ (exp b) (* a (+ 1 (+ (* -1 (+ 1 (exp b))) (* a (- (* 1/2 (+ 1 (exp b))) 1/2)))))))
(fma.f64 a (fma.f64 a (+.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 b) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (neg.f64 (exp.f64 b))) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ 1 (+ (exp b) (* a (+ 1 (+ (* -1 (+ 1 (exp b))) (* a (- (+ (* 1/2 (+ 1 (exp b))) (* a (+ 1/6 (* -1/6 (+ 1 (exp b)))))) 1/2)))))))
(fma.f64 a (fma.f64 a (+.f64 (fma.f64 a #s(literal 1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)) (neg.f64 (exp.f64 b))) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (* -1 a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (* -1 a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (* -1 a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (* -1 a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (neg a)) (+ 1 (exp a)))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
(+ (* b (exp (neg a))) (* (exp (neg a)) (+ 1 (exp a))))
(fma.f64 (exp.f64 (neg.f64 a)) (+.f64 #s(literal 1 binary64) b) #s(literal 1 binary64))
(+ (* b (+ (exp (neg a)) (* 1/2 (* b (exp (neg a)))))) (* (exp (neg a)) (+ 1 (exp a))))
(+.f64 (fma.f64 b (*.f64 (exp.f64 (neg.f64 a)) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) (exp.f64 (neg.f64 a))) #s(literal 1 binary64))
(+ (* b (+ (exp (neg a)) (* b (+ (* 1/6 (* b (exp (neg a)))) (* 1/2 (exp (neg a))))))) (* (exp (neg a)) (+ 1 (exp a))))
(fma.f64 b (*.f64 (exp.f64 (neg.f64 a)) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
(* (exp (neg a)) (+ (exp a) (exp b)))
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(* (exp (neg a)) (+ (exp a) (exp b)))
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(fma.f64 b (fma.f64 b (fma.f64 (exp.f64 a) (/.f64 (fma.f64 (exp.f64 a) #s(literal -1/2 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (fma.f64 (/.f64 (fma.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))) #s(literal 2 binary64))) #s(literal -9/2 binary64) (*.f64 (-.f64 (/.f64 (*.f64 (exp.f64 a) (-.f64 #s(literal 2 binary64) (exp.f64 a))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 3 binary64) (fma.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))) #s(literal 3 binary64)))) #s(literal -3 binary64)))) (fma.f64 (/.f64 (fma.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))) #s(literal 2 binary64))) #s(literal -3 binary64) (/.f64 (*.f64 (exp.f64 a) (-.f64 #s(literal 2 binary64) (exp.f64 a))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))))) (fma.f64 (exp.f64 a) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (/.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))))))
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(fma.f64 b (fma.f64 b (fma.f64 b (fma.f64 (exp.f64 a) (/.f64 (fma.f64 #s(literal -1/6 binary64) (exp.f64 a) #s(literal 4/3 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (fma.f64 (/.f64 (fma.f64 (exp.f64 a) (/.f64 (fma.f64 (exp.f64 a) #s(literal -1/2 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (fma.f64 (/.f64 (fma.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))) #s(literal 2 binary64))) #s(literal -9/2 binary64) (*.f64 (-.f64 (/.f64 (*.f64 (exp.f64 a) (-.f64 #s(literal 2 binary64) (exp.f64 a))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 3 binary64) (fma.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))) #s(literal 3 binary64)))) #s(literal -3 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))) #s(literal -3 binary64) (*.f64 (+.f64 (/.f64 (fma.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))) #s(literal 2 binary64))) (-.f64 (/.f64 (*.f64 (exp.f64 a) (-.f64 #s(literal 2 binary64) (exp.f64 a))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 3 binary64) (fma.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))) #s(literal 3 binary64))))) #s(literal -9/2 binary64)))) (fma.f64 (exp.f64 a) (/.f64 (fma.f64 (exp.f64 a) #s(literal -1/2 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (fma.f64 (/.f64 (fma.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))) #s(literal 2 binary64))) #s(literal -9/2 binary64) (*.f64 (-.f64 (/.f64 (*.f64 (exp.f64 a) (-.f64 #s(literal 2 binary64) (exp.f64 a))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 3 binary64) (fma.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))) #s(literal 3 binary64)))) #s(literal -3 binary64))))) (fma.f64 (/.f64 (fma.f64 (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))) #s(literal 2 binary64))) #s(literal -3 binary64) (/.f64 (*.f64 (exp.f64 a) (-.f64 #s(literal 2 binary64) (exp.f64 a))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))))) (fma.f64 (exp.f64 a) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (/.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b a))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b a))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b a))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b a))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (neg (* -2 b))) (exp (- a (* -1 b)))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b a))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (neg (* -2 b))) (exp (- a (* -1 b)))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b a))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (neg (* -2 b))) (exp (- a (* -1 b)))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b a))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (neg (* -2 b))) (exp (- a (* -1 b)))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b a))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))
(- 1 (exp a))
(-.f64 #s(literal 1 binary64) (exp.f64 a))
(- (+ 1 (* b (- 2 (exp a)))) (exp a))
(-.f64 (*.f64 b (-.f64 #s(literal 2 binary64) (exp.f64 a))) (expm1.f64 a))
(- (+ 1 (* b (- (+ 2 (* b (- 2 (* 1/2 (exp a))))) (exp a)))) (exp a))
(-.f64 (*.f64 b (-.f64 (fma.f64 b (fma.f64 (exp.f64 a) #s(literal -1/2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)) (exp.f64 a))) (expm1.f64 a))
(- (+ 1 (* b (- (+ 2 (* b (- (+ 2 (* b (- 4/3 (* 1/6 (exp a))))) (* 1/2 (exp a))))) (exp a)))) (exp a))
(-.f64 (*.f64 b (fma.f64 b (fma.f64 b (fma.f64 #s(literal -1/6 binary64) (exp.f64 a) #s(literal 4/3 binary64)) (fma.f64 (exp.f64 a) #s(literal -1/2 binary64) #s(literal 2 binary64))) (-.f64 #s(literal 2 binary64) (exp.f64 a)))) (expm1.f64 a))
(- (exp (* 2 b)) (exp (+ a b)))
(-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b a)))
(- (exp (* 2 b)) (exp (+ a b)))
(-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b a)))
(- (exp (* 2 b)) (exp (+ a b)))
(-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b a)))
(- (exp (* 2 b)) (exp (+ a b)))
(-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b a)))
(- (exp (neg (* -2 b))) (exp (- a (* -1 b))))
(-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b a)))
(- (exp (neg (* -2 b))) (exp (- a (* -1 b))))
(-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b a)))
(- (exp (neg (* -2 b))) (exp (- a (* -1 b))))
(-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b a)))
(- (exp (neg (* -2 b))) (exp (- a (* -1 b))))
(-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b a)))
(- (exp (* 2 b)) (exp b))
(-.f64 (exp.f64 (+.f64 b b)) (exp.f64 b))
(- (+ (exp (* 2 b)) (* -1 (* a (exp b)))) (exp b))
(fma.f64 (exp.f64 b) (+.f64 (neg.f64 a) #s(literal -1 binary64)) (exp.f64 (+.f64 b b)))
(- (+ (exp (* 2 b)) (* a (- (* -1/2 (* a (exp b))) (exp b)))) (exp b))
(-.f64 (fma.f64 a (*.f64 (exp.f64 b) (fma.f64 a #s(literal -1/2 binary64) #s(literal -1 binary64))) (exp.f64 (+.f64 b b))) (exp.f64 b))
(- (+ (exp (* 2 b)) (* a (- (* a (- (* -1/6 (* a (exp b))) (* 1/2 (exp b)))) (exp b)))) (exp b))
(fma.f64 a (fma.f64 a (*.f64 (exp.f64 b) (fma.f64 a #s(literal -1/6 binary64) #s(literal -1/2 binary64))) (neg.f64 (exp.f64 b))) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 b)))
(- (exp (* 2 b)) (exp (+ a b)))
(-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b a)))
(- (exp (* 2 b)) (exp (+ a b)))
(-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b a)))
(- (exp (* 2 b)) (exp (+ a b)))
(-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b a)))
(- (exp (* 2 b)) (exp (+ a b)))
(-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b a)))
(- (exp (* 2 b)) (exp (- b (* -1 a))))
(-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b a)))
(- (exp (* 2 b)) (exp (- b (* -1 a))))
(-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b a)))
(- (exp (* 2 b)) (exp (- b (* -1 a))))
(-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b a)))
(- (exp (* 2 b)) (exp (- b (* -1 a))))
(-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b a)))
(exp a)
(exp.f64 a)
(+ b (exp a))
(+.f64 b (exp.f64 a))
(+ b (exp a))
(+.f64 b (exp.f64 a))
(+ b (exp a))
(+.f64 b (exp.f64 a))
b
(* b (+ 1 (/ (exp a) b)))
(fma.f64 b (/.f64 (exp.f64 a) b) b)
(* b (+ 1 (/ (exp a) b)))
(fma.f64 b (/.f64 (exp.f64 a) b) b)
(* b (+ 1 (/ (exp a) b)))
(fma.f64 b (/.f64 (exp.f64 a) b) b)
b
(* -1 (* b (- (* -1 (/ (exp a) b)) 1)))
(fma.f64 b (/.f64 (exp.f64 a) b) b)
(* -1 (* b (- (* -1 (/ (exp a) b)) 1)))
(fma.f64 b (/.f64 (exp.f64 a) b) b)
(* -1 (* b (- (* -1 (/ (exp a) b)) 1)))
(fma.f64 b (/.f64 (exp.f64 a) b) b)
(+ 1 b)
(+.f64 #s(literal 1 binary64) b)
(+ 1 (+ a b))
(+.f64 #s(literal 1 binary64) (+.f64 b a))
(+ 1 (+ b (* a (+ 1 (* 1/2 a)))))
(+.f64 b (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+ 1 (+ b (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) b))
(+ b (exp a))
(+.f64 b (exp.f64 a))
(+ b (exp a))
(+.f64 b (exp.f64 a))
(+ b (exp a))
(+.f64 b (exp.f64 a))
(+ b (exp a))
(+.f64 b (exp.f64 a))
(+ b (exp a))
(+.f64 b (exp.f64 a))
(+ b (exp a))
(+.f64 b (exp.f64 a))
(+ b (exp a))
(+.f64 b (exp.f64 a))
(+ b (exp a))
(+.f64 b (exp.f64 a))
1
#s(literal 1 binary64)
(+ 1 (* 3 b))
(fma.f64 b #s(literal 3 binary64) #s(literal 1 binary64))
(+ 1 (* b (+ 3 (* 9/2 b))))
(fma.f64 b (fma.f64 b #s(literal 9/2 binary64) #s(literal 3 binary64)) #s(literal 1 binary64))
(+ 1 (* b (+ 3 (* b (+ 9/2 (* 9/2 b))))))
(fma.f64 b (fma.f64 b (fma.f64 b #s(literal 9/2 binary64) #s(literal 9/2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))
(exp (* 3 b))
(exp.f64 (*.f64 b #s(literal 3 binary64)))
(exp (* 3 b))
(exp.f64 (*.f64 b #s(literal 3 binary64)))
(exp (* 3 b))
(exp.f64 (*.f64 b #s(literal 3 binary64)))
(exp (* 3 b))
(exp.f64 (*.f64 b #s(literal 3 binary64)))
(exp (* 3 b))
(exp.f64 (*.f64 b #s(literal 3 binary64)))
(exp (* 3 b))
(exp.f64 (*.f64 b #s(literal 3 binary64)))
(exp (* 3 b))
(exp.f64 (*.f64 b #s(literal 3 binary64)))
(exp (* 3 b))
(exp.f64 (*.f64 b #s(literal 3 binary64)))

rewrite392.0ms (4.3%)

Memory
-6.0MiB live, 428.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 638×lower-fma.f32
4 636×lower-fma.f64
4 568×lower-/.f32
4 558×lower-/.f64
3 406×lower-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
037167
065169
1229162
21608155
08810155
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
19 → 640
Calls
Call 1
Inputs
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a)))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))))
(+.f64 (exp.f64 a) (exp.f64 b))
(exp.f64 a)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(exp.f64 b)
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))
#s(approx (exp b) #s(literal 1 binary64))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 #s(literal 1 binary64) (+.f64 b (exp.f64 a)))))
#s(approx (+ (exp a) (exp b)) (+.f64 #s(literal 1 binary64) (+.f64 b (exp.f64 a))))
(+.f64 #s(literal 1 binary64) (+.f64 b (exp.f64 a)))
(fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64))))
(/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))
(-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))
(+.f64 b (exp.f64 a))
(exp.f64 (*.f64 b #s(literal 3 binary64)))
Outputs
(+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b)))
(+.f64 (exp.f64 (+.f64 (neg.f64 a) b)) #s(literal 1 binary64))
(+.f64 (exp.f64 (+.f64 a (neg.f64 a))) (exp.f64 (+.f64 b (neg.f64 a))))
(+.f64 (exp.f64 (+.f64 b (neg.f64 a))) (exp.f64 (+.f64 a (neg.f64 a))))
(exp.f64 (neg.f64 (*.f64 (log1p.f64 (exp.f64 (+.f64 (neg.f64 a) b))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 a)) (/.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 a)))
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 a #s(literal 6 binary64))) (-.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (+.f64 b b)))) (*.f64 (exp.f64 a) (+.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (+.f64 a a))))) (/.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (+.f64 b b)))) (*.f64 (exp.f64 a) (+.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (+.f64 a a))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 a))) (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (neg.f64 (exp.f64 a))))
(-.f64 (/.f64 (exp.f64 (+.f64 a a)) (*.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b)))) (/.f64 (exp.f64 (+.f64 b b)) (*.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b)))))
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(exp.f64 (*.f64 (+.f64 b b) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) b))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 3 binary64))) b))
(exp.f64 (*.f64 (+.f64 b b) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (*.f64 (+.f64 b b) #s(literal 3 binary64)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (+.f64 b b) #s(literal 2 binary64)))
(exp.f64 (*.f64 b #s(literal 9 binary64)))
(exp.f64 (*.f64 b #s(literal 6 binary64)))
(exp.f64 (fma.f64 (+.f64 b b) #s(literal 3 binary64) (*.f64 (+.f64 b b) #s(literal 3 binary64))))
(exp.f64 (fma.f64 (+.f64 b b) #s(literal 3 binary64) (+.f64 b b)))
(exp.f64 (fma.f64 b #s(literal 3 binary64) (*.f64 (+.f64 b b) #s(literal 3 binary64))))
(/.f64 (exp.f64 (/.f64 (*.f64 b b) #s(literal 0 binary64))) (exp.f64 (/.f64 (*.f64 b b) #s(literal 0 binary64))))
(pow.f64 (exp.f64 b) #s(literal 3 binary64))
(pow.f64 (exp.f64 b) #s(literal 2 binary64))
(pow.f64 (exp.f64 b) #s(literal 9 binary64))
(pow.f64 (exp.f64 b) #s(literal 6 binary64))
(pow.f64 (exp.f64 b) #s(literal 18 binary64))
(pow.f64 (exp.f64 b) #s(literal 4 binary64))
(pow.f64 (exp.f64 b) #s(literal 9/2 binary64))
(pow.f64 (exp.f64 b) #s(literal 27 binary64))
(pow.f64 (exp.f64 b) #s(literal 12 binary64))
(pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(pow.f64 (exp.f64 (+.f64 b b)) #s(literal 3 binary64))
(pow.f64 (exp.f64 (+.f64 b b)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (+.f64 b b)) #s(literal 9 binary64))
(pow.f64 (exp.f64 (+.f64 b b)) #s(literal 6 binary64))
(pow.f64 (exp.f64 (+.f64 b b)) #s(literal 3/2 binary64))
(pow.f64 (exp.f64 (+.f64 b b)) #s(literal 4 binary64))
(pow.f64 (exp.f64 #s(literal 3 binary64)) b)
(pow.f64 (exp.f64 #s(literal 3 binary64)) (+.f64 b b))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (*.f64 b #s(literal 3/2 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) b)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (+.f64 b b))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 b #s(literal 3/2 binary64)))
(pow.f64 (exp.f64 (*.f64 b #s(literal 3/2 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (exp.f64 #s(literal 3 binary64)) (exp.f64 #s(literal 3 binary64))) b)
(pow.f64 (*.f64 (exp.f64 #s(literal 2 binary64)) (exp.f64 #s(literal 2 binary64))) b)
(pow.f64 (exp.f64 (*.f64 (fma.f64 b b #s(literal 0 binary64)) (+.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal 0 binary64))))
(*.f64 (exp.f64 b) (exp.f64 b))
(*.f64 (exp.f64 b) (exp.f64 (+.f64 b b)))
(*.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b)))
(*.f64 (exp.f64 (+.f64 b b)) (exp.f64 b))
(*.f64 (exp.f64 (+.f64 b b)) #s(literal 1 binary64))
(*.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b b)))
(*.f64 (exp.f64 (+.f64 b b)) (exp.f64 (*.f64 b #s(literal 3/2 binary64))))
(*.f64 (exp.f64 (*.f64 b #s(literal 3/2 binary64))) (exp.f64 (+.f64 b b)))
(*.f64 (exp.f64 (*.f64 b #s(literal 3/2 binary64))) (exp.f64 (*.f64 b #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (exp.f64 (*.f64 b #s(literal 3/2 binary64))) #s(literal 3 binary64)) (pow.f64 (exp.f64 (*.f64 b #s(literal 3/2 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (exp.f64 (*.f64 b #s(literal 3/2 binary64))) #s(literal 3/2 binary64)) (pow.f64 (exp.f64 (*.f64 b #s(literal 3/2 binary64))) #s(literal 3/2 binary64)))

eval214.0ms (2.4%)

Memory
30.7MiB live, 183.2MiB allocated
Compiler

Compiled 25 703 to 2 316 computations (91% saved)

prune134.0ms (1.5%)

Memory
6.7MiB live, 204.6MiB allocated
Pruning

18 alts after pruning (15 fresh and 3 done)

PrunedKeptTotal
New1 085151 100
Fresh101
Picked235
Done000
Total1 088181 106
Accuracy
100.0%
Counts
1 106 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓63.6%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
63.1%
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
▶61.9%
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
✓61.0%
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 #s(literal 1 binary64) (+.f64 b (exp.f64 a)))))
61.0%
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ 1 (+ b (exp a))) (+.f64 b (fma.f64 b (/.f64 (exp.f64 a) b) #s(literal 1 binary64))))))
▶100.0%
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))))
64.0%
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
✓85.3%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
39.0%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))))
55.9%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
53.4%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
39.0%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
28.6%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
85.4%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (exp.f64 (*.f64 (log1p.f64 (exp.f64 b)) #s(literal -1 binary64))))
▶38.5%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64))) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
▶37.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
38.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
▶41.6%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))
Compiler

Compiled 381 to 235 computations (38.3% saved)

simplify209.0ms (2.3%)

Memory
-70.1MiB live, 135.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
#s(approx (exp a) #s(literal 1 binary64))
✓cost-diff0
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))
✓cost-diff0
(exp.f64 a)
✓cost-diff0
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
✓cost-diff0
(fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64))) #s(literal -1/4 binary64))
✓cost-diff0
(fma.f64 b (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64))) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
✓cost-diff0
#s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64))) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))
✓cost-diff0
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64))) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
✓cost-diff0
(fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64))
✓cost-diff0
(fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
✓cost-diff0
#s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))
✓cost-diff0
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
✓cost-diff0
#s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))
✓cost-diff0
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))
✓cost-diff0
(exp.f64 (-.f64 b a))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
✓cost-diff0
#s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))))
Rules
3 740×lower-fma.f32
3 730×lower-fma.f64
1 212×lower-*.f32
1 208×lower-*.f64
666×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
039270
059273
1103273
2187264
3298264
4572264
5897264
6959264
71203264
82634264
93169264
103592264
113666264
123693264
133708264
143727264
153751264
163759264
173759264
183759264
193760264
03760264
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))))
#s(literal 1 binary64)
#s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(exp.f64 (-.f64 b a))
(-.f64 b a)
b
a
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))
#s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))
(fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
b
(fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64))
#s(literal 1/48 binary64)
(*.f64 b b)
#s(literal -1/4 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64))) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64))) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))
(fma.f64 b (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64))) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
b
(fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64))) #s(literal -1/4 binary64))
(*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)))
(fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64))
(*.f64 b b)
#s(literal -1/480 binary64)
#s(literal 1/48 binary64)
#s(literal -1/4 binary64)
#s(literal 1/2 binary64)
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
(exp.f64 a)
a
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))
#s(approx (exp a) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (exp b) #s(literal 1 binary64))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))))
#s(literal 1 binary64)
#s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(exp.f64 (-.f64 b a))
(-.f64 b a)
b
a
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))
#s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))
(fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
b
(fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64))
#s(literal 1/48 binary64)
(*.f64 b b)
#s(literal -1/4 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64))) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64))) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))
#s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))
(fma.f64 b (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64))) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
b
(fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64))) #s(literal -1/4 binary64))
(fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64))
(*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)))
(*.f64 b (fma.f64 b (*.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64)))
(fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64))
(fma.f64 b (*.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64))
(*.f64 b b)
#s(literal -1/480 binary64)
#s(literal 1/48 binary64)
#s(literal -1/4 binary64)
#s(literal 1/2 binary64)
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
(exp.f64 a)
a
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))
#s(approx (exp a) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (exp b) #s(literal 1 binary64))

localize166.0ms (1.8%)

Memory
23.1MiB live, 182.8MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))
✓accuracy99.2%
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
✓accuracy75.7%
#s(approx (exp a) #s(literal 1 binary64))
✓accuracy52.4%
#s(approx (exp b) #s(literal 1 binary64))
✓accuracy99.7%
(*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)))
✓accuracy99.6%
(fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64))
✓accuracy85.4%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64))) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
✓accuracy53.1%
#s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64))) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))
✓accuracy100.0%
(fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
✓accuracy99.6%
(fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64))
✓accuracy85.4%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
✓accuracy52.5%
#s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))
✓accuracy85.4%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))
✓accuracy55.7%
#s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))
✓accuracy100.0%
(exp.f64 (-.f64 b a))
✓accuracy100.0%
#s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))))
Samples
124.0ms256×0valid
Compiler

Compiled 181 to 34 computations (81.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 107.0ms
ival-exp: 71.0ms (66.1% of total)
ival-mult: 12.0ms (11.2% of total)
ival-add: 9.0ms (8.4% of total)
const: 8.0ms (7.4% of total)
ival-div: 4.0ms (3.7% of total)
ival-sub: 1.0ms (0.9% of total)
ival-neg: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series17.0ms (0.2%)

Memory
-17.7MiB live, 20.1MiB allocated
Counts
21 → 360
Calls
Call 1
Inputs
#<alt (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))))>
#<alt #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))>
#<alt (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))>
#<alt (exp.f64 (-.f64 b a))>
#<alt #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))>
#<alt #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))>
#<alt #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))>
#<alt #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))>
#<alt (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))>
#<alt (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64))>
#<alt #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64))) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))>
#<alt #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64))) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))>
#<alt (fma.f64 b (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64))) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))>
#<alt (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64))) #s(literal -1/4 binary64))>
#<alt (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))>
#<alt (exp.f64 a)>
#<alt (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))>
#<alt #s(approx (exp a) #s(literal 1 binary64))>
#<alt (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64))>
#<alt (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)))>
#<alt #s(approx (exp b) #s(literal 1 binary64))>
Outputs
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (+ (* a (- (+ (* a (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (* a (- (* 1/6 (/ 1 (+ 1 (exp b)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (+ 1 (exp b))) (/ (* (- (* 1/2 (+ 1 (exp b))) 1/2) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))>
#<alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))>
#<alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))>
#<alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))>
#<alt (/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))>
#<alt (/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))>
#<alt (/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))>
#<alt (/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))>
#<alt (/ 1 (* (exp (neg a)) (+ 1 (exp a))))>
#<alt (+ (* -1 (/ b (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))>
#<alt (+ (* b (- (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))>
#<alt (+ (* b (- (* b (- (+ (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (+ (* 1/6 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 4)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3)))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))>
#<alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))>
#<alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))>
#<alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))>
#<alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))>
#<alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))>
#<alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))>
#<alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))>
#<alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* -1 (+ 1 (exp b)))))))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (+ (* -1 (+ 1 (exp b))) (* a (- (* 1/2 (+ 1 (exp b))) 1/2)))))))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (+ (* -1 (+ 1 (exp b))) (* a (- (+ (* 1/2 (+ 1 (exp b))) (* a (+ 1/6 (* -1/6 (+ 1 (exp b)))))) 1/2)))))))>
#<alt (* (exp (neg a)) (+ (exp a) (exp b)))>
#<alt (* (exp (neg a)) (+ (exp a) (exp b)))>
#<alt (* (exp (neg a)) (+ (exp a) (exp b)))>
#<alt (* (exp (neg a)) (+ (exp a) (exp b)))>
#<alt (* (exp (* -1 a)) (+ (exp a) (exp b)))>
#<alt (* (exp (* -1 a)) (+ (exp a) (exp b)))>
#<alt (* (exp (* -1 a)) (+ (exp a) (exp b)))>
#<alt (* (exp (* -1 a)) (+ (exp a) (exp b)))>
#<alt (* (exp (neg a)) (+ 1 (exp a)))>
#<alt (+ (* b (exp (neg a))) (* (exp (neg a)) (+ 1 (exp a))))>
#<alt (+ (* b (+ (exp (neg a)) (* 1/2 (* b (exp (neg a)))))) (* (exp (neg a)) (+ 1 (exp a))))>
#<alt (+ (* b (+ (exp (neg a)) (* b (+ (* 1/6 (* b (exp (neg a)))) (* 1/2 (exp (neg a))))))) (* (exp (neg a)) (+ 1 (exp a))))>
#<alt (* (exp (neg a)) (+ (exp a) (exp b)))>
#<alt (* (exp (neg a)) (+ (exp a) (exp b)))>
#<alt (* (exp (neg a)) (+ (exp a) (exp b)))>
#<alt (* (exp (neg a)) (+ (exp a) (exp b)))>
#<alt (* (exp (neg a)) (+ (exp a) (exp b)))>
#<alt (* (exp (neg a)) (+ (exp a) (exp b)))>
#<alt (* (exp (neg a)) (+ (exp a) (exp b)))>
#<alt (* (exp (neg a)) (+ (exp a) (exp b)))>
#<alt (+ 1 (exp (neg a)))>
#<alt (+ 1 (+ (exp (neg a)) (* b (exp (neg a)))))>
#<alt (+ 1 (+ (exp (neg a)) (* b (+ (exp (neg a)) (* 1/2 (* b (exp (neg a))))))))>
#<alt (+ 1 (+ (exp (neg a)) (* b (+ (exp (neg a)) (* b (+ (* 1/6 (* b (exp (neg a)))) (* 1/2 (exp (neg a)))))))))>
#<alt (+ 1 (exp (- b a)))>
#<alt (+ 1 (exp (- b a)))>
#<alt (+ 1 (exp (- b a)))>
#<alt (+ 1 (exp (- b a)))>
#<alt (+ 1 (exp (neg (+ a (* -1 b)))))>
#<alt (+ 1 (exp (neg (+ a (* -1 b)))))>
#<alt (+ 1 (exp (neg (+ a (* -1 b)))))>
#<alt (+ 1 (exp (neg (+ a (* -1 b)))))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (+ (exp b) (* -1 (* a (exp b)))))>
#<alt (+ 1 (+ (exp b) (* a (+ (* -1 (exp b)) (* 1/2 (* a (exp b)))))))>
#<alt (+ 1 (+ (exp b) (* a (+ (* -1 (exp b)) (* a (+ (* -1/6 (* a (exp b))) (* 1/2 (exp b))))))))>
#<alt (+ 1 (exp (- b a)))>
#<alt (+ 1 (exp (- b a)))>
#<alt (+ 1 (exp (- b a)))>
#<alt (+ 1 (exp (- b a)))>
#<alt (+ 1 (exp (+ b (* -1 a))))>
#<alt (+ 1 (exp (+ b (* -1 a))))>
#<alt (+ 1 (exp (+ b (* -1 a))))>
#<alt (+ 1 (exp (+ b (* -1 a))))>
#<alt (exp (neg a))>
#<alt (+ (exp (neg a)) (* b (exp (neg a))))>
#<alt (+ (exp (neg a)) (* b (+ (exp (neg a)) (* 1/2 (* b (exp (neg a)))))))>
#<alt (+ (exp (neg a)) (* b (+ (exp (neg a)) (* b (+ (* 1/6 (* b (exp (neg a)))) (* 1/2 (exp (neg a))))))))>
#<alt (exp (- b a))>
#<alt (exp (- b a))>
#<alt (exp (- b a))>
#<alt (exp (- b a))>
#<alt (exp (neg (+ a (* -1 b))))>
#<alt (exp (neg (+ a (* -1 b))))>
#<alt (exp (neg (+ a (* -1 b))))>
#<alt (exp (neg (+ a (* -1 b))))>
#<alt (exp b)>
#<alt (+ (exp b) (* -1 (* a (exp b))))>
#<alt (+ (exp b) (* a (+ (* -1 (exp b)) (* 1/2 (* a (exp b))))))>
#<alt (+ (exp b) (* a (+ (* -1 (exp b)) (* a (+ (* -1/6 (* a (exp b))) (* 1/2 (exp b)))))))>
#<alt (exp (- b a))>
#<alt (exp (- b a))>
#<alt (exp (- b a))>
#<alt (exp (- b a))>
#<alt (exp (+ b (* -1 a)))>
#<alt (exp (+ b (* -1 a)))>
#<alt (exp (+ b (* -1 a)))>
#<alt (exp (+ b (* -1 a)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (+ (* 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))))>
#<alt (+ (* 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))))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))>
#<alt (+ (* 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))))>
#<alt (+ (* 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))))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 b))>
#<alt (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))>
#<alt (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (+ (* 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))))>
#<alt (+ (* 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))))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))>
#<alt (+ (* 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))))>
#<alt (+ (* 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))))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 b))>
#<alt (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))>
#<alt (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 b))>
#<alt (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))>
#<alt (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))>
#<alt (* 1/48 (pow b 3))>
#<alt (* (pow b 3) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 3) (- (+ 1/48 (/ 1/2 (pow b 3))) (* 1/4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 3) (- (+ 1/48 (/ 1/2 (pow b 3))) (* 1/4 (/ 1 (pow b 2)))))>
#<alt (* 1/48 (pow b 3))>
#<alt (* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) 1/48)))>
#<alt (* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) (+ 1/48 (/ 1/2 (pow b 3))))))>
#<alt (* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) (+ 1/48 (/ 1/2 (pow b 3))))))>
#<alt -1/4>
#<alt (- (* 1/48 (pow b 2)) 1/4)>
#<alt (- (* 1/48 (pow b 2)) 1/4)>
#<alt (- (* 1/48 (pow b 2)) 1/4)>
#<alt (* 1/48 (pow b 2))>
#<alt (* (pow b 2) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))>
#<alt (* 1/48 (pow b 2))>
#<alt (* (pow b 2) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (+ (* 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))))>
#<alt (+ (* 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))))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))>
#<alt (+ (* 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))))>
#<alt (+ (* 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))))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 b))>
#<alt (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))>
#<alt (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 b))>
#<alt (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))>
#<alt (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))>
#<alt (* -1/480 (pow b 5))>
#<alt (* (pow b 5) (- (* 1/48 (/ 1 (pow b 2))) 1/480))>
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#<alt (* (pow b 5) (- (+ (* 1/48 (/ 1 (pow b 2))) (* 1/2 (/ 1 (pow b 5)))) (+ 1/480 (/ 1/4 (pow b 4)))))>
#<alt (* -1/480 (pow b 5))>
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#<alt (* -1 (* (pow b 5) (- (+ 1/480 (/ 1/4 (pow b 4))) (+ (* 1/48 (/ 1 (pow b 2))) (* 1/2 (/ 1 (pow b 5)))))))>
#<alt -1/4>
#<alt (- (* 1/48 (pow b 2)) 1/4)>
#<alt (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)>
#<alt (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)>
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#<alt (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))>
#<alt (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))>
#<alt (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))>
#<alt (* -1/480 (pow b 4))>
#<alt (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))>
#<alt (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))>
#<alt (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (+ (* 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))))>
#<alt (+ (* 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))))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
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#<alt (+ (* 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))))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
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#<alt 1>
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#<alt (exp a)>
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#<alt (exp a)>
#<alt 1/48>
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#<alt (* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))>
#<alt (* 1/48 b)>
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#<alt (* b (+ 1/48 (* -1/480 (pow b 2))))>
#<alt (* b (+ 1/48 (* -1/480 (pow b 2))))>
#<alt (* -1/480 (pow b 3))>
#<alt (* (pow b 3) (- (* 1/48 (/ 1 (pow b 2))) 1/480))>
#<alt (* (pow b 3) (- (* 1/48 (/ 1 (pow b 2))) 1/480))>
#<alt (* (pow b 3) (- (* 1/48 (/ 1 (pow b 2))) 1/480))>
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#<alt (* -1 (* (pow b 3) (- 1/480 (* 1/48 (/ 1 (pow b 2))))))>
#<alt (* -1 (* (pow b 3) (- 1/480 (* 1/48 (/ 1 (pow b 2))))))>
#<alt (* -1 (* (pow b 3) (- 1/480 (* 1/48 (/ 1 (pow b 2))))))>
#<alt 1>
#<alt (+ 1 b)>
#<alt (+ 1 (* b (+ 1 (* 1/2 b))))>
#<alt (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
Calls

90 calls:

TimeVariablePointExpression
6.0ms
b
@-inf
(+ (* b (+ (* b (* b (+ (* (* b b) -1/480) 1/48))) -1/4)) 1/2)
0.0ms
b
@-inf
(+ (* b (+ (* 1/48 (* b b)) -1/4)) 1/2)
0.0ms
b
@inf
(+ (* b (+ (* 1/48 (* b b)) -1/4)) 1/2)
0.0ms
b
@inf
(+ (* b (+ (* b (* b (+ (* (* b b) -1/480) 1/48))) -1/4)) 1/2)
0.0ms
b
@inf
(+ (* 1/48 (* b b)) -1/4)

simplify483.0ms (5.4%)

Memory
34.2MiB live, 697.2MiB allocated
Algorithm
1×egg-herbie
Rules
11 804×lower-fma.f64
11 804×lower-fma.f32
6 602×lower-+.f64
6 602×lower-+.f32
3 988×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03244862
19244278
227244173
081594012
Stop Event
1×iter limit
1×node limit
Counts
360 → 360
Calls
Call 1
Inputs
(/ 1 (+ 1 (exp b)))
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(+ (* a (- (+ (* a (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
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1/2
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-1/4
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(* 1/48 (pow b 2))
(* (pow b 2) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))
(* (pow b 2) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))
(* (pow b 2) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))
(* 1/48 (pow b 2))
(* (pow b 2) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))
(* (pow b 2) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))
(* (pow b 2) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))
(/ 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))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (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))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
1/2
(+ 1/2 (* -1/4 b))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
1/2
(+ 1/2 (* -1/4 b))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
(* -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 5))
(* -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)))))))
-1/4
(- (* 1/48 (pow b 2)) 1/4)
(- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)
(- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)
(* -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)))))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 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)))))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))
(/ 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))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (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))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp 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 b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ 1 (exp a))
(+ 1 (+ b (exp a)))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
1/48
(+ 1/48 (* -1/480 (pow b 2)))
(+ 1/48 (* -1/480 (pow b 2)))
(+ 1/48 (* -1/480 (pow b 2)))
(* -1/480 (pow b 2))
(* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* -1/480 (pow b 2))
(* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* 1/48 b)
(* b (+ 1/48 (* -1/480 (pow b 2))))
(* b (+ 1/48 (* -1/480 (pow b 2))))
(* b (+ 1/48 (* -1/480 (pow b 2))))
(* -1/480 (pow b 3))
(* (pow b 3) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* (pow b 3) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* (pow b 3) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* -1/480 (pow b 3))
(* -1 (* (pow b 3) (- 1/480 (* 1/48 (/ 1 (pow b 2))))))
(* -1 (* (pow b 3) (- 1/480 (* 1/48 (/ 1 (pow b 2))))))
(* -1 (* (pow b 3) (- 1/480 (* 1/48 (/ 1 (pow b 2))))))
1
(+ 1 b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
Outputs
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (/.f64 a (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))))
(+ (* a (- (+ (* a (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 a (+.f64 (fma.f64 a (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (fma.f64 (neg.f64 (exp.f64 b)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (* a (- (* 1/6 (/ 1 (+ 1 (exp b)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (+ 1 (exp b))) (/ (* (- (* 1/2 (+ 1 (exp b))) 1/2) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 a (fma.f64 a (-.f64 (fma.f64 a (-.f64 (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (fma.f64 (neg.f64 (exp.f64 b)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (fma.f64 (neg.f64 (exp.f64 b)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (fma.f64 (fma.f64 (exp.f64 b) #s(literal 1/2 binary64) #s(literal 0 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (/.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (exp.f64 b)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (neg a)) (+ 1 (exp a))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
(+ (* -1 (/ b (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) (/.f64 b (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))))
(+ (* b (- (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
(fma.f64 b (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
(+ (* b (- (* b (- (+ (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (+ (* 1/6 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 4)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3)))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
(fma.f64 b (fma.f64 b (fma.f64 b (+.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal -1/6 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 4 binary64))))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (+ (exp b) (* a (+ 1 (* -1 (+ 1 (exp b)))))))
(fma.f64 (+.f64 (neg.f64 a) #s(literal 1 binary64)) (exp.f64 b) #s(literal 1 binary64))
(+ 1 (+ (exp b) (* a (+ 1 (+ (* -1 (+ 1 (exp b))) (* a (- (* 1/2 (+ 1 (exp b))) 1/2)))))))
(+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (neg.f64 a) #s(literal 1 binary64)) (exp.f64 b) (*.f64 a (*.f64 a (fma.f64 (exp.f64 b) #s(literal 1/2 binary64) #s(literal 0 binary64))))))
(+ 1 (+ (exp b) (* a (+ 1 (+ (* -1 (+ 1 (exp b))) (* a (- (+ (* 1/2 (+ 1 (exp b))) (* a (+ 1/6 (* -1/6 (+ 1 (exp b)))))) 1/2)))))))
(+.f64 (fma.f64 (+.f64 (neg.f64 a) #s(literal 1 binary64)) (exp.f64 b) #s(literal 1 binary64)) (*.f64 a (*.f64 a (+.f64 #s(literal 0 binary64) (*.f64 (exp.f64 b) (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)))))))
(* (exp (neg a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (* -1 a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (* -1 a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (* -1 a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (* -1 a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (neg a)) (+ 1 (exp a)))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
(+ (* b (exp (neg a))) (* (exp (neg a)) (+ 1 (exp a))))
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(* -1 (* (pow b 3) (- 1/480 (* 1/48 (/ 1 (pow b 2))))))
(*.f64 (*.f64 b b) (*.f64 b (+.f64 #s(literal -1/480 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 b b)))))
(* -1 (* (pow b 3) (- 1/480 (* 1/48 (/ 1 (pow b 2))))))
(*.f64 (*.f64 b b) (*.f64 b (+.f64 #s(literal -1/480 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 b b)))))
(* -1 (* (pow b 3) (- 1/480 (* 1/48 (/ 1 (pow b 2))))))
(*.f64 (*.f64 b b) (*.f64 b (+.f64 #s(literal -1/480 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 b b)))))
1
#s(literal 1 binary64)
(+ 1 b)
(+.f64 #s(literal 1 binary64) b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)

rewrite321.0ms (3.6%)

Memory
21.8MiB live, 600.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 228×lower-*.f32
5 224×lower-*.f64
4 482×lower-/.f32
4 478×lower-/.f64
2 936×lower-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
039246
059249
1249246
21773240
08397240
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
21 → 426
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))))
#s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(exp.f64 (-.f64 b a))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))
#s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))
(fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64))) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64))) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))
(fma.f64 b (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64))) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64))) #s(literal -1/4 binary64))
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
(exp.f64 a)
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))
#s(approx (exp a) #s(literal 1 binary64))
(fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64))
(*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)))
#s(approx (exp b) #s(literal 1 binary64))
Outputs
(exp.f64 (*.f64 (log.f64 #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))))))
(pow.f64 #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) #s(literal -1 binary64))
(pow.f64 (neg.f64 (neg.f64 #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))))) #s(literal -1 binary64))
(pow.f64 (pow.f64 #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))))
(*.f64 (pow.f64 #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) #s(literal -1/2 binary64)) (pow.f64 #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) #s(literal -1/2 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))))
(/.f64 #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))))))
(/.f64 (neg.f64 #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))))) #s(literal 1 binary64))
#s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(pow.f64 #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))) #s(literal -1 binary64))
(*.f64 #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64))
(+.f64 (exp.f64 (-.f64 b a)) (exp.f64 (+.f64 a (neg.f64 a))))
(+.f64 (exp.f64 (+.f64 a (neg.f64 a))) (exp.f64 (-.f64 b a)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) (/.f64 (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))))
(-.f64 (/.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 a)) (/.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 a)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 a))) (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (neg.f64 (exp.f64 a))))
(-.f64 (/.f64 (exp.f64 (+.f64 a a)) (*.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b)))) (/.f64 (exp.f64 (+.f64 b b)) (*.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b)))))
(-.f64 (/.f64 (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))) (expm1.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 b a))))
(fma.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)) (exp.f64 (+.f64 a (neg.f64 a))))
(fma.f64 (exp.f64 a) (exp.f64 (neg.f64 a)) (exp.f64 (-.f64 b a)))
(fma.f64 (exp.f64 b) (exp.f64 (neg.f64 a)) #s(literal 1 binary64))
(fma.f64 (exp.f64 b) (exp.f64 (neg.f64 a)) (exp.f64 (+.f64 a (neg.f64 a))))
(fma.f64 (exp.f64 (neg.f64 a)) (exp.f64 b) #s(literal 1 binary64))
(fma.f64 (exp.f64 (neg.f64 a)) (exp.f64 b) (exp.f64 (+.f64 a (neg.f64 a))))
(fma.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64) (exp.f64 (+.f64 a (neg.f64 a))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 b a) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (exp.f64 (+.f64 a b))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (exp.f64 a)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (exp.f64 (+.f64 a b))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (/.f64 (exp.f64 a) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (exp.f64 a)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (/.f64 (exp.f64 a) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) (/.f64 (-.f64 (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (exp.f64 (+.f64 a b))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))))
(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (exp.f64 a) #s(literal 1 binary64)) (/.f64 (-.f64 (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (exp.f64 (+.f64 a b))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (exp.f64 a) #s(literal 1 binary64)) (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))))))
(/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (exp.f64 (+.f64 a b))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (neg.f64 (exp.f64 a))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (neg.f64 (exp.f64 a))))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (exp.f64 a)) (/.f64 (-.f64 (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (exp.f64 (+.f64 a b))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (exp.f64 a)) (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 b a) #s(literal 3 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (neg.f64 (exp.f64 a)))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 b a) #s(literal 3 binary64)))) (fma.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 b a) #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))))
(/.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (*.f64 (exp.f64 a) (-.f64 (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (exp.f64 (+.f64 a b)))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (*.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (exp.f64 (+.f64 a b))) (exp.f64 a)))
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (exp.f64 (+.f64 a b))) (/.f64 (exp.f64 a) #s(literal 1 binary64))))
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b)))) (exp.f64 a)))
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b)))) (/.f64 (exp.f64 a) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) #s(literal 1 binary64)) (*.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))
(/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) #s(literal 1 binary64)) (*.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (/.f64 (exp.f64 a) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (*.f64 (exp.f64 a) (-.f64 (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (exp.f64 (+.f64 a b)))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (*.f64 (exp.f64 a) (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b))))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (*.f64 (/.f64 (exp.f64 a) #s(literal 1 binary64)) (-.f64 (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (exp.f64 (+.f64 a b)))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (*.f64 (/.f64 (exp.f64 a) #s(literal 1 binary64)) (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b))))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (*.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (*.f64 (/.f64 (exp.f64 a) #s(literal 1 binary64)) (-.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (neg.f64 (neg.f64 (exp.f64 a))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 b a) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 b a) #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))))
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(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/110592000 binary64))) (*.f64 b (*.f64 b b)) (*.f64 #s(literal 1/110592 binary64) (*.f64 b (*.f64 b b))))) (neg.f64 (fma.f64 (*.f64 b (*.f64 b (*.f64 b #s(literal -1/480 binary64)))) (*.f64 b (*.f64 b (*.f64 b #s(literal -1/480 binary64)))) (-.f64 (*.f64 (*.f64 b #s(literal 1/48 binary64)) (*.f64 b #s(literal 1/48 binary64))) (*.f64 (*.f64 b (*.f64 b (*.f64 b #s(literal -1/480 binary64)))) (*.f64 b #s(literal 1/48 binary64)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 b (*.f64 b (*.f64 b #s(literal -1/480 binary64)))) (*.f64 b (*.f64 b (*.f64 b #s(literal -1/480 binary64))))) (*.f64 (*.f64 b #s(literal 1/48 binary64)) (*.f64 b #s(literal 1/48 binary64))))) (neg.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b #s(literal -1/480 binary64)))) (*.f64 b #s(literal 1/48 binary64)))))
(/.f64 (neg.f64 (*.f64 b (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/110592000 binary64)) #s(literal 1/110592 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64) (-.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 b b) #s(literal -1/23040 binary64))))))
(/.f64 (neg.f64 (*.f64 b (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64) #s(literal -1/2304 binary64)))) (neg.f64 (fma.f64 b (*.f64 b #s(literal -1/480 binary64)) #s(literal -1/48 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/110592000 binary64)) #s(literal 1/110592 binary64)) b)) (neg.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64) (-.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 b b) #s(literal -1/23040 binary64))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64) #s(literal -1/2304 binary64)) b)) (neg.f64 (fma.f64 b (*.f64 b #s(literal -1/480 binary64)) #s(literal -1/48 binary64))))
(/.f64 (fma.f64 #s(literal 1/110592 binary64) (*.f64 b (*.f64 b b)) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/110592000 binary64))) (*.f64 b (*.f64 b b)))) (fma.f64 (*.f64 b #s(literal 1/48 binary64)) (*.f64 b #s(literal 1/48 binary64)) (-.f64 (*.f64 (*.f64 b (*.f64 b (*.f64 b #s(literal -1/480 binary64)))) (*.f64 b (*.f64 b (*.f64 b #s(literal -1/480 binary64))))) (*.f64 (*.f64 b #s(literal 1/48 binary64)) (*.f64 b (*.f64 b (*.f64 b #s(literal -1/480 binary64))))))))
(*.f64 b (fma.f64 b (*.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64)))
(*.f64 (fma.f64 b (*.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64)) b)
#s(approx (exp b) #s(literal 1 binary64))

eval153.0ms (1.7%)

Memory
9.4MiB live, 232.9MiB allocated
Compiler

Compiled 19 447 to 1 754 computations (91% saved)

prune90.0ms (1%)

Memory
-22.6MiB live, 238.7MiB allocated
Pruning

24 alts after pruning (16 fresh and 8 done)

PrunedKeptTotal
New7788786
Fresh2810
Picked055
Done033
Total78024804
Accuracy
100.0%
Counts
804 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓63.6%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
✓61.9%
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
✓61.0%
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 #s(literal 1 binary64) (+.f64 b (exp.f64 a)))))
61.0%
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ 1 (+ b (exp a))) (+.f64 b (fma.f64 b (/.f64 (exp.f64 a) b) #s(literal 1 binary64))))))
41.3%
(/.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
▶41.3%
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
▶100.0%
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 a b))))))
✓100.0%
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))))
▶64.0%
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
✓85.3%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
39.0%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))))
55.9%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
53.4%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
39.0%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
28.6%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
85.4%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (exp.f64 (*.f64 (log1p.f64 (exp.f64 b)) #s(literal -1 binary64))))
✓38.5%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64))) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
✓37.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
▶38.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(approx (+ (* b (* b (+ (* (* b b) -1/480) 1/48))) -1/4) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
37.6%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal -1/2 binary64)) (fma.f64 (*.f64 b b) (*.f64 (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64))) #s(literal -1/4 binary64))))))
10.9%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b (+ (* b (* b (+ (* (* b b) -1/480) 1/48))) -1/4)) 1/2) (*.f64 #s(literal -1/480 binary64) (pow.f64 b #s(literal 5 binary64))))))
▶14.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b (+ (* 1/48 (* b b)) -1/4)) 1/2) (*.f64 b (*.f64 (*.f64 b b) (+.f64 (-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b)))))))))
8.5%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b (+ (* 1/48 (* b b)) -1/4)) 1/2) (*.f64 b (*.f64 #s(literal 1/48 binary64) (*.f64 b b))))))
✓41.6%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))
Compiler

Compiled 564 to 304 computations (46.1% saved)

simplify161.0ms (1.8%)

Memory
-6.9MiB live, 304.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(exp.f64 (neg.f64 a))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
✓cost-diff0
#s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
✓cost-diff0
#s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b (+ (* 1/48 (* b b)) -1/4)) 1/2) (*.f64 b (*.f64 (*.f64 b b) (+.f64 (-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b))))))))
✓cost-diff0
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b (+ (* 1/48 (* b b)) -1/4)) 1/2) (*.f64 b (*.f64 (*.f64 b b) (+.f64 (-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b)))))))))
✓cost-diff832
(*.f64 b (*.f64 (*.f64 b b) (+.f64 (-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b))))))
✓cost-diff1792
(*.f64 (*.f64 b b) (+.f64 (-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b)))))
✓cost-diff0
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))
✓cost-diff0
(+.f64 #s(literal 1 binary64) a)
✓cost-diff0
#s(approx (exp a) (+.f64 #s(literal 1 binary64) a))
✓cost-diff0
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
✓cost-diff0
#s(approx (+ (* b (* b (+ (* (* b b) -1/480) 1/48))) -1/4) #s(literal -1/4 binary64))
✓cost-diff0
(fma.f64 b #s(approx (+ (* b (* b (+ (* (* b b) -1/480) 1/48))) -1/4) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
✓cost-diff0
#s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(approx (+ (* b (* b (+ (* (* b b) -1/480) 1/48))) -1/4) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))
✓cost-diff0
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(approx (+ (* b (* b (+ (* (* b b) -1/480) 1/48))) -1/4) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 a b))))
✓cost-diff0
#s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 a b)))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 a b))))))
✓cost-diff704
(/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 a b)))
Rules
5 244×lower-fma.f32
5 242×lower-fma.f64
2 406×lower-*.f32
2 398×lower-*.f64
954×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059453
082421
1150421
2306403
3643385
41805379
56122379
08294356
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 a b))))))
#s(literal 1 binary64)
#s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 a b)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 a b))))
(/.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 (+ 1 (exp b))) (fma.f64 b #s(approx (+ (* b (* b (+ (* (* b b) -1/480) 1/48))) -1/4) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(approx (+ (* b (* b (+ (* (* b b) -1/480) 1/48))) -1/4) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))
(fma.f64 b #s(approx (+ (* b (* b (+ (* (* b b) -1/480) 1/48))) -1/4) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
b
#s(approx (+ (* b (* b (+ (* (* b b) -1/480) 1/48))) -1/4) #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
#s(literal 1/2 binary64)
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (exp a) (+.f64 #s(literal 1 binary64) a))
(+.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
a
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))
#s(approx (exp a) #s(literal 1 binary64))
#s(approx (exp b) #s(literal 1 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b (+ (* 1/48 (* b b)) -1/4)) 1/2) (*.f64 b (*.f64 (*.f64 b b) (+.f64 (-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b)))))))))
#s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b (+ (* 1/48 (* b b)) -1/4)) 1/2) (*.f64 b (*.f64 (*.f64 b b) (+.f64 (-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b))))))))
#s(approx (+ (* b (+ (* 1/48 (* b b)) -1/4)) 1/2) (*.f64 b (*.f64 (*.f64 b b) (+.f64 (-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b)))))))
(*.f64 b (*.f64 (*.f64 b b) (+.f64 (-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b))))))
b
(*.f64 (*.f64 b b) (+.f64 (-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b)))))
(*.f64 b b)
(+.f64 (-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b))))
(-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 b b)))
#s(literal 1/48 binary64)
(/.f64 #s(literal 1/4 binary64) (*.f64 b b))
#s(literal 1/4 binary64)
(/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b)))
#s(literal 1/2 binary64)
(*.f64 b (*.f64 b b))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
#s(literal 1 binary64)
#s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
(exp.f64 (neg.f64 a))
(neg.f64 a)
a
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 a b))))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))))
#s(literal 1 binary64)
#s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 a b)))))
#s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 a b))))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(/.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 (+ 1 (exp b))) (fma.f64 b #s(approx (+ (* b (* b (+ (* (* b b) -1/480) 1/48))) -1/4) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(approx (+ (* b (* b (+ (* (* b b) -1/480) 1/48))) -1/4) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))
(fma.f64 b #s(approx (+ (* b (* b (+ (* (* b b) -1/480) 1/48))) -1/4) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
b
#s(approx (+ (* b (* b (+ (* (* b b) -1/480) 1/48))) -1/4) #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
#s(literal 1/2 binary64)
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (exp a) (+.f64 #s(literal 1 binary64) a))
(+.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
a
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))
#s(approx (exp a) #s(literal 1 binary64))
#s(approx (exp b) #s(literal 1 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b (+ (* 1/48 (* b b)) -1/4)) 1/2) (*.f64 b (*.f64 (*.f64 b b) (+.f64 (-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b)))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b (+ (* 1/48 (* b b)) -1/4)) 1/2) (fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))))
#s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b (+ (* 1/48 (* b b)) -1/4)) 1/2) (*.f64 b (*.f64 (*.f64 b b) (+.f64 (-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b))))))))
#s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b (+ (* 1/48 (* b b)) -1/4)) 1/2) (fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (+ (* b (+ (* 1/48 (* b b)) -1/4)) 1/2) (*.f64 b (*.f64 (*.f64 b b) (+.f64 (-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b)))))))
#s(approx (+ (* b (+ (* 1/48 (* b b)) -1/4)) 1/2) (fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 b (*.f64 (*.f64 b b) (+.f64 (-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b))))))
(fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
b
(*.f64 (*.f64 b b) (+.f64 (-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b)))))
(+.f64 (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1/2 binary64) b))
(*.f64 b b)
(+.f64 (-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b))))
(+.f64 #s(literal 1/48 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/4 binary64) (*.f64 b b))))
(-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 b b)))
#s(literal 1/48 binary64)
(/.f64 #s(literal 1/4 binary64) (*.f64 b b))
#s(literal 1/4 binary64)
(/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b)))
#s(literal 1/2 binary64)
(*.f64 b (*.f64 b b))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
#s(literal 1 binary64)
#s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
(exp.f64 (neg.f64 a))
(neg.f64 a)
a

localize173.0ms (1.9%)

Memory
6.0MiB live, 297.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(exp.f64 (neg.f64 a))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
✓accuracy82.2%
#s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
✓accuracy97.5%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b (+ (* 1/48 (* b b)) -1/4)) 1/2) (*.f64 b (*.f64 (*.f64 b b) (+.f64 (-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b)))))))))
✓accuracy93.8%
(+.f64 (-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b))))
✓accuracy78.6%
#s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b (+ (* 1/48 (* b b)) -1/4)) 1/2) (*.f64 b (*.f64 (*.f64 b b) (+.f64 (-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b))))))))
✓accuracy76.0%
(*.f64 (*.f64 b b) (+.f64 (-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b)))))
✓accuracy99.2%
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
✓accuracy97.2%
#s(approx (exp a) (+.f64 #s(literal 1 binary64) a))
✓accuracy96.5%
#s(approx (exp a) #s(literal 1 binary64))
✓accuracy78.7%
#s(approx (exp b) #s(literal 1 binary64))
✓accuracy100.0%
(fma.f64 b #s(approx (+ (* b (* b (+ (* (* b b) -1/480) 1/48))) -1/4) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
✓accuracy97.5%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(approx (+ (* b (* b (+ (* (* b b) -1/480) 1/48))) -1/4) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
✓accuracy79.2%
#s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(approx (+ (* b (* b (+ (* (* b b) -1/480) 1/48))) -1/4) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))
✓accuracy79.1%
#s(approx (+ (* b (* b (+ (* (* b b) -1/480) 1/48))) -1/4) #s(literal -1/4 binary64))
✓accuracy100.0%
#s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 a b)))))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 a b))))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 a b)))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 a b))))))
Samples
80.0ms156×0valid
35.0ms100×0exit
Compiler

Compiled 260 to 45 computations (82.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 87.0ms
ival-exp: 25.0ms (28.6% of total)
ival-add: 22.0ms (25.2% of total)
ival-mult: 22.0ms (25.2% of total)
ival-div: 9.0ms (10.3% of total)
const: 6.0ms (6.9% of total)
ival-sub: 2.0ms (2.3% of total)
exact: 1.0ms (1.1% of total)
ival-neg: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series14.0ms (0.2%)

Memory
-4.5MiB live, 34.3MiB allocated
Counts
23 → 396
Calls
Call 1
Inputs
#<alt (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 a b)))>
#<alt (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 a b))))))>
#<alt #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 a b)))))>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 a b))))>
#<alt #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(approx (+ (* b (* b (+ (* (* b b) -1/480) 1/48))) -1/4) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))>
#<alt #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(approx (+ (* b (* b (+ (* (* b b) -1/480) 1/48))) -1/4) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))>
#<alt (fma.f64 b #s(approx (+ (* b (* b (+ (* (* b b) -1/480) 1/48))) -1/4) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))>
#<alt #s(approx (+ (* b (* b (+ (* (* b b) -1/480) 1/48))) -1/4) #s(literal -1/4 binary64))>
#<alt (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))>
#<alt #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))>
#<alt (+.f64 #s(literal 1 binary64) a)>
#<alt (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))>
#<alt (*.f64 (*.f64 b b) (+.f64 (-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b)))))>
#<alt (*.f64 b (*.f64 (*.f64 b b) (+.f64 (-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b))))))>
#<alt #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b (+ (* 1/48 (* b b)) -1/4)) 1/2) (*.f64 b (*.f64 (*.f64 b b) (+.f64 (-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b)))))))))>
#<alt #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b (+ (* 1/48 (* b b)) -1/4)) 1/2) (*.f64 b (*.f64 (*.f64 b b) (+.f64 (-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b))))))))>
#<alt (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))>
#<alt #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))>
#<alt (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))>
#<alt (exp.f64 (neg.f64 a))>
#<alt #s(approx (exp b) #s(literal 1 binary64))>
#<alt #s(approx (exp a) #s(literal 1 binary64))>
#<alt (+.f64 (-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b))))>
Outputs
#<alt (/ 1 (exp (neg b)))>
#<alt (+ (* -1 (/ a (exp (neg b)))) (/ 1 (exp (neg b))))>
#<alt (+ (* a (- (* 1/2 (/ a (exp (neg b)))) (/ 1 (exp (neg b))))) (/ 1 (exp (neg b))))>
#<alt (+ (* a (- (* a (+ (* -1/6 (/ a (exp (neg b)))) (* 1/2 (/ 1 (exp (neg b)))))) (/ 1 (exp (neg b))))) (/ 1 (exp (neg b))))>
#<alt (/ 1 (exp (- a b)))>
#<alt (/ 1 (exp (- a b)))>
#<alt (/ 1 (exp (- a b)))>
#<alt (/ 1 (exp (- a b)))>
#<alt (/ 1 (exp (neg (+ b (* -1 a)))))>
#<alt (/ 1 (exp (neg (+ b (* -1 a)))))>
#<alt (/ 1 (exp (neg (+ b (* -1 a)))))>
#<alt (/ 1 (exp (neg (+ b (* -1 a)))))>
#<alt (/ 1 (exp a))>
#<alt (+ (/ 1 (exp a)) (/ b (exp a)))>
#<alt (+ (* b (+ (* 1/2 (/ b (exp a))) (/ 1 (exp a)))) (/ 1 (exp a)))>
#<alt (+ (* b (+ (* b (+ (* 1/6 (/ b (exp a))) (* 1/2 (/ 1 (exp a))))) (/ 1 (exp a)))) (/ 1 (exp a)))>
#<alt (/ 1 (exp (- a b)))>
#<alt (/ 1 (exp (- a b)))>
#<alt (/ 1 (exp (- a b)))>
#<alt (/ 1 (exp (- a b)))>
#<alt (/ 1 (exp (+ a (* -1 b))))>
#<alt (/ 1 (exp (+ a (* -1 b))))>
#<alt (/ 1 (exp (+ a (* -1 b))))>
#<alt (/ 1 (exp (+ a (* -1 b))))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (+ (* a (- (+ (* a (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (* a (- (* 1/6 (/ 1 (+ 1 (exp b)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (+ 1 (exp b))) (/ (* (- (* 1/2 (+ 1 (exp b))) 1/2) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))>
#<alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))>
#<alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))>
#<alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))>
#<alt (/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))>
#<alt (/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))>
#<alt (/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))>
#<alt (/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))>
#<alt (/ 1 (* (exp (neg a)) (+ 1 (exp a))))>
#<alt (+ (* -1 (/ b (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))>
#<alt (+ (* b (- (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))>
#<alt (+ (* b (- (* b (- (+ (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (+ (* 1/6 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 4)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3)))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))>
#<alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))>
#<alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))>
#<alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))>
#<alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))>
#<alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))>
#<alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))>
#<alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))>
#<alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* -1 (+ 1 (exp b)))))))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (+ (* -1 (+ 1 (exp b))) (* a (- (* 1/2 (+ 1 (exp b))) 1/2)))))))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (+ (* -1 (+ 1 (exp b))) (* a (- (+ (* 1/2 (+ 1 (exp b))) (* a (+ 1/6 (* -1/6 (+ 1 (exp b)))))) 1/2)))))))>
#<alt (* (exp (neg a)) (+ (exp a) (exp b)))>
#<alt (* (exp (neg a)) (+ (exp a) (exp b)))>
#<alt (* (exp (neg a)) (+ (exp a) (exp b)))>
#<alt (* (exp (neg a)) (+ (exp a) (exp b)))>
#<alt (* (exp (* -1 a)) (+ (exp a) (exp b)))>
#<alt (* (exp (* -1 a)) (+ (exp a) (exp b)))>
#<alt (* (exp (* -1 a)) (+ (exp a) (exp b)))>
#<alt (* (exp (* -1 a)) (+ (exp a) (exp b)))>
#<alt (* (exp (neg a)) (+ 1 (exp a)))>
#<alt (+ (* b (exp (neg a))) (* (exp (neg a)) (+ 1 (exp a))))>
#<alt (+ (* b (+ (exp (neg a)) (* 1/2 (* b (exp (neg a)))))) (* (exp (neg a)) (+ 1 (exp a))))>
#<alt (+ (* b (+ (exp (neg a)) (* b (+ (* 1/6 (* b (exp (neg a)))) (* 1/2 (exp (neg a))))))) (* (exp (neg a)) (+ 1 (exp a))))>
#<alt (* (exp (neg a)) (+ (exp a) (exp b)))>
#<alt (* (exp (neg a)) (+ (exp a) (exp b)))>
#<alt (* (exp (neg a)) (+ (exp a) (exp b)))>
#<alt (* (exp (neg a)) (+ (exp a) (exp b)))>
#<alt (* (exp (neg a)) (+ (exp a) (exp b)))>
#<alt (* (exp (neg a)) (+ (exp a) (exp b)))>
#<alt (* (exp (neg a)) (+ (exp a) (exp b)))>
#<alt (* (exp (neg a)) (+ (exp a) (exp b)))>
#<alt (+ 1 (/ 1 (exp (neg b))))>
#<alt (+ 1 (+ (* -1 (/ a (exp (neg b)))) (/ 1 (exp (neg b)))))>
#<alt (+ 1 (+ (* a (- (* 1/2 (/ a (exp (neg b)))) (/ 1 (exp (neg b))))) (/ 1 (exp (neg b)))))>
#<alt (+ 1 (+ (* a (- (* a (+ (* -1/6 (/ a (exp (neg b)))) (* 1/2 (/ 1 (exp (neg b)))))) (/ 1 (exp (neg b))))) (/ 1 (exp (neg b)))))>
#<alt (+ 1 (/ 1 (exp (- a b))))>
#<alt (+ 1 (/ 1 (exp (- a b))))>
#<alt (+ 1 (/ 1 (exp (- a b))))>
#<alt (+ 1 (/ 1 (exp (- a b))))>
#<alt (+ 1 (/ 1 (exp (neg (+ b (* -1 a))))))>
#<alt (+ 1 (/ 1 (exp (neg (+ b (* -1 a))))))>
#<alt (+ 1 (/ 1 (exp (neg (+ b (* -1 a))))))>
#<alt (+ 1 (/ 1 (exp (neg (+ b (* -1 a))))))>
#<alt (+ 1 (/ 1 (exp a)))>
#<alt (+ 1 (+ (/ 1 (exp a)) (/ b (exp a))))>
#<alt (+ 1 (+ (* b (+ (* 1/2 (/ b (exp a))) (/ 1 (exp a)))) (/ 1 (exp a))))>
#<alt (+ 1 (+ (* b (+ (* b (+ (* 1/6 (/ b (exp a))) (* 1/2 (/ 1 (exp a))))) (/ 1 (exp a)))) (/ 1 (exp a))))>
#<alt (+ 1 (/ 1 (exp (- a b))))>
#<alt (+ 1 (/ 1 (exp (- a b))))>
#<alt (+ 1 (/ 1 (exp (- a b))))>
#<alt (+ 1 (/ 1 (exp (- a b))))>
#<alt (+ 1 (/ 1 (exp (+ a (* -1 b)))))>
#<alt (+ 1 (/ 1 (exp (+ a (* -1 b)))))>
#<alt (+ 1 (/ 1 (exp (+ a (* -1 b)))))>
#<alt (+ 1 (/ 1 (exp (+ a (* -1 b)))))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (+ (* 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))))>
#<alt (+ (* 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))))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))>
#<alt (+ (* 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))))>
#<alt (+ (* 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))))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 b))>
#<alt (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))>
#<alt (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 b))>
#<alt (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))>
#<alt (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))>
#<alt (* -1/480 (pow b 5))>
#<alt (* (pow b 5) (- (* 1/48 (/ 1 (pow b 2))) 1/480))>
#<alt (* (pow b 5) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))>
#<alt (* (pow b 5) (- (+ (* 1/48 (/ 1 (pow b 2))) (* 1/2 (/ 1 (pow b 5)))) (+ 1/480 (/ 1/4 (pow b 4)))))>
#<alt (* -1/480 (pow b 5))>
#<alt (* -1 (* (pow b 5) (- 1/480 (* 1/48 (/ 1 (pow b 2))))))>
#<alt (* -1 (* (pow b 5) (- (+ 1/480 (/ 1/4 (pow b 4))) (* 1/48 (/ 1 (pow b 2))))))>
#<alt (* -1 (* (pow b 5) (- (+ 1/480 (/ 1/4 (pow b 4))) (+ (* 1/48 (/ 1 (pow b 2))) (* 1/2 (/ 1 (pow b 5)))))))>
#<alt -1/4>
#<alt (- (* 1/48 (pow b 2)) 1/4)>
#<alt (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)>
#<alt (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)>
#<alt (* -1/480 (pow b 4))>
#<alt (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))>
#<alt (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))>
#<alt (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))>
#<alt (* -1/480 (pow b 4))>
#<alt (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))>
#<alt (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))>
#<alt (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (+ (* 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))))>
#<alt (+ (* 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))))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))>
#<alt (+ (* 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))))>
#<alt (+ (* 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))))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt 1>
#<alt (+ 1 a)>
#<alt (+ 1 (* a (+ 1 (* 1/2 a))))>
#<alt (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt 1>
#<alt (+ 1 a)>
#<alt (+ 1 a)>
#<alt (+ 1 a)>
#<alt a>
#<alt (* a (+ 1 (/ 1 a)))>
#<alt (* a (+ 1 (/ 1 a)))>
#<alt (* a (+ 1 (/ 1 a)))>
#<alt a>
#<alt (* a (+ 1 (/ 1 a)))>
#<alt (* a (+ 1 (/ 1 a)))>
#<alt (* a (+ 1 (/ 1 a)))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (+ a (exp b)))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (+ b (exp a)))>
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))>
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (/ 1/2 b)>
#<alt (/ (+ 1/2 (* -1/4 b)) b)>
#<alt (/ (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4))) b)>
#<alt (/ (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4))) b)>
#<alt (* 1/48 (pow b 2))>
#<alt (* (pow b 2) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (- (+ 1/48 (/ 1/2 (pow b 3))) (* 1/4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (- (+ 1/48 (/ 1/2 (pow b 3))) (* 1/4 (/ 1 (pow b 2)))))>
#<alt (* 1/48 (pow b 2))>
#<alt (* (pow b 2) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (- (+ 1/48 (/ 1/2 (pow b 3))) (* 1/4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (- (+ 1/48 (/ 1/2 (pow b 3))) (* 1/4 (/ 1 (pow b 2)))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 b))>
#<alt (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))>
#<alt (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))>
#<alt (* 1/48 (pow b 3))>
#<alt (* (pow b 3) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 3) (- (+ 1/48 (/ 1/2 (pow b 3))) (* 1/4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 3) (- (+ 1/48 (/ 1/2 (pow b 3))) (* 1/4 (/ 1 (pow b 2)))))>
#<alt (* 1/48 (pow b 3))>
#<alt (* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) 1/48)))>
#<alt (* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) (+ 1/48 (/ 1/2 (pow b 3))))))>
#<alt (* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) (+ 1/48 (/ 1/2 (pow b 3))))))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (+ (* 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))))>
#<alt (+ (* 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))))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))>
#<alt (+ (* 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))))>
#<alt (+ (* 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))))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 b))>
#<alt (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))>
#<alt (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (+ (* a (- (+ (* a (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (* a (- (* 1/6 (/ 1 (+ 1 (exp b)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (+ 1 (exp b))) (/ (* (- (* 1/2 (+ 1 (exp b))) 1/2) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))>
#<alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))>
#<alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))>
#<alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))>
#<alt (/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))>
#<alt (/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))>
#<alt (/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))>
#<alt (/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))>
#<alt (/ 1 (* (exp (neg a)) (+ 1 (exp a))))>
#<alt (+ (* -1 (/ b (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))>
#<alt (+ (* b (- (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))>
#<alt (+ (* b (- (* b (- (+ (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (+ (* 1/6 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 4)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3)))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))>
#<alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))>
#<alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))>
#<alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))>
#<alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))>
#<alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))>
#<alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))>
#<alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))>
#<alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* -1 (+ 1 (exp b)))))))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (+ (* -1 (+ 1 (exp b))) (* a (- (* 1/2 (+ 1 (exp b))) 1/2)))))))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (+ (* -1 (+ 1 (exp b))) (* a (- (+ (* 1/2 (+ 1 (exp b))) (* a (+ 1/6 (* -1/6 (+ 1 (exp b)))))) 1/2)))))))>
#<alt (* (exp (neg a)) (+ (exp a) (exp b)))>
#<alt (* (exp (neg a)) (+ (exp a) (exp b)))>
#<alt (* (exp (neg a)) (+ (exp a) (exp b)))>
#<alt (* (exp (neg a)) (+ (exp a) (exp b)))>
#<alt (* (exp (* -1 a)) (+ (exp a) (exp b)))>
#<alt (* (exp (* -1 a)) (+ (exp a) (exp b)))>
#<alt (* (exp (* -1 a)) (+ (exp a) (exp b)))>
#<alt (* (exp (* -1 a)) (+ (exp a) (exp b)))>
#<alt (* (exp (neg a)) (+ 1 (exp a)))>
#<alt (+ (* b (exp (neg a))) (* (exp (neg a)) (+ 1 (exp a))))>
#<alt (+ (* b (+ (exp (neg a)) (* 1/2 (* b (exp (neg a)))))) (* (exp (neg a)) (+ 1 (exp a))))>
#<alt (+ (* b (+ (exp (neg a)) (* b (+ (* 1/6 (* b (exp (neg a)))) (* 1/2 (exp (neg a))))))) (* (exp (neg a)) (+ 1 (exp a))))>
#<alt (* (exp (neg a)) (+ (exp a) (exp b)))>
#<alt (* (exp (neg a)) (+ (exp a) (exp b)))>
#<alt (* (exp (neg a)) (+ (exp a) (exp b)))>
#<alt (* (exp (neg a)) (+ (exp a) (exp b)))>
#<alt (* (exp (neg a)) (+ (exp a) (exp b)))>
#<alt (* (exp (neg a)) (+ (exp a) (exp b)))>
#<alt (* (exp (neg a)) (+ (exp a) (exp b)))>
#<alt (* (exp (neg a)) (+ (exp a) (exp b)))>
#<alt 2>
#<alt (+ 2 (* -1 a))>
#<alt (+ 2 (* a (- (* 1/2 a) 1)))>
#<alt (+ 2 (* a (- (* a (+ 1/2 (* -1/6 a))) 1)))>
#<alt (+ 1 (exp (neg a)))>
#<alt (+ 1 (exp (neg a)))>
#<alt (+ 1 (exp (neg a)))>
#<alt (+ 1 (exp (neg a)))>
#<alt (+ 1 (exp (* -1 a)))>
#<alt (+ 1 (exp (* -1 a)))>
#<alt (+ 1 (exp (* -1 a)))>
#<alt (+ 1 (exp (* -1 a)))>
#<alt 1>
#<alt (+ 1 (* -1 a))>
#<alt (+ 1 (* a (- (* 1/2 a) 1)))>
#<alt (+ 1 (* a (- (* a (+ 1/2 (* -1/6 a))) 1)))>
#<alt (exp (neg a))>
#<alt (exp (neg a))>
#<alt (exp (neg a))>
#<alt (exp (neg a))>
#<alt (exp (* -1 a))>
#<alt (exp (* -1 a))>
#<alt (exp (* -1 a))>
#<alt (exp (* -1 a))>
#<alt 1>
#<alt (+ 1 b)>
#<alt (+ 1 (* b (+ 1 (* 1/2 b))))>
#<alt (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt 1>
#<alt (+ 1 a)>
#<alt (+ 1 (* a (+ 1 (* 1/2 a))))>
#<alt (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (/ 1/2 (pow b 3))>
#<alt (/ (+ 1/2 (* -1/4 b)) (pow b 3))>
#<alt (/ (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4))) (pow b 3))>
#<alt (/ (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4))) (pow b 3))>
#<alt 1/48>
#<alt (- 1/48 (* 1/4 (/ 1 (pow b 2))))>
#<alt (- (+ 1/48 (/ 1/2 (pow b 3))) (* 1/4 (/ 1 (pow b 2))))>
#<alt (- (+ 1/48 (/ 1/2 (pow b 3))) (* 1/4 (/ 1 (pow b 2))))>
#<alt 1/48>
#<alt (- 1/48 (* 1/4 (/ 1 (pow b 2))))>
#<alt (- (+ 1/48 (/ 1/2 (pow b 3))) (* 1/4 (/ 1 (pow b 2))))>
#<alt (- (+ 1/48 (/ 1/2 (pow b 3))) (* 1/4 (/ 1 (pow b 2))))>
Calls

99 calls:

TimeVariablePointExpression
2.0ms
a
@0
(+ 1 (exp (neg a)))
0.0ms
a
@-inf
(/ 1 (exp (- a b)))
0.0ms
a
@0
(/ 1 (exp (- a b)))
0.0ms
b
@-inf
(/ 1 (exp (- a b)))
0.0ms
a
@inf
(/ 1 (exp (- a b)))

simplify374.0ms (4.1%)

Memory
1.4MiB live, 833.9MiB allocated
Algorithm
1×egg-herbie
Rules
11 384×lower-fma.f64
11 384×lower-fma.f32
6 522×lower-+.f64
6 522×lower-+.f32
3 992×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03585317
110194572
229254445
082424254
Stop Event
1×iter limit
1×node limit
Counts
396 → 394
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 (exp (- a b)))
(/ 1 (exp (- a b)))
(/ 1 (exp (- a b)))
(/ 1 (exp (- a b)))
(/ 1 (exp (neg (+ b (* -1 a)))))
(/ 1 (exp (neg (+ b (* -1 a)))))
(/ 1 (exp (neg (+ b (* -1 a)))))
(/ 1 (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 (exp (- a b)))
(/ 1 (exp (- a b)))
(/ 1 (exp (- a b)))
(/ 1 (exp (- a b)))
(/ 1 (exp (+ a (* -1 b))))
(/ 1 (exp (+ a (* -1 b))))
(/ 1 (exp (+ a (* -1 b))))
(/ 1 (exp (+ a (* -1 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 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (* a (- (* 1/6 (/ 1 (+ 1 (exp b)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (+ 1 (exp b))) (/ (* (- (* 1/2 (+ 1 (exp b))) 1/2) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))
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(- 1/48 (* 1/4 (/ 1 (pow b 2))))
(- (+ 1/48 (/ 1/2 (pow b 3))) (* 1/4 (/ 1 (pow b 2))))
(- (+ 1/48 (/ 1/2 (pow b 3))) (* 1/4 (/ 1 (pow b 2))))
1/48
(- 1/48 (* 1/4 (/ 1 (pow b 2))))
(- (+ 1/48 (/ 1/2 (pow b 3))) (* 1/4 (/ 1 (pow b 2))))
(- (+ 1/48 (/ 1/2 (pow b 3))) (* 1/4 (/ 1 (pow b 2))))
Outputs
(/ 1 (exp (neg b)))
(exp.f64 b)
(+ (* -1 (/ a (exp (neg b)))) (/ 1 (exp (neg b))))
(*.f64 (exp.f64 b) (-.f64 #s(literal 1 binary64) a))
(+ (* a (- (* 1/2 (/ a (exp (neg b)))) (/ 1 (exp (neg b))))) (/ 1 (exp (neg b))))
(fma.f64 a (*.f64 (exp.f64 b) (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64))) (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 a (*.f64 (*.f64 a (exp.f64 b)) (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (*.f64 (exp.f64 b) (-.f64 #s(literal 1 binary64) a)))
(/ 1 (exp (- a b)))
(exp.f64 (-.f64 b a))
(/ 1 (exp (- a b)))
(exp.f64 (-.f64 b a))
(/ 1 (exp (- a b)))
(exp.f64 (-.f64 b a))
(/ 1 (exp (- a b)))
(exp.f64 (-.f64 b a))
(/ 1 (exp (neg (+ b (* -1 a)))))
(exp.f64 (-.f64 b a))
(/ 1 (exp (neg (+ b (* -1 a)))))
(exp.f64 (-.f64 b a))
(/ 1 (exp (neg (+ b (* -1 a)))))
(exp.f64 (-.f64 b a))
(/ 1 (exp (neg (+ b (* -1 a)))))
(exp.f64 (-.f64 b a))
(/ 1 (exp a))
(exp.f64 (neg.f64 a))
(+ (/ 1 (exp a)) (/ b (exp a)))
(*.f64 (exp.f64 (neg.f64 a)) (+.f64 #s(literal 1 binary64) b))
(+ (* b (+ (* 1/2 (/ b (exp a))) (/ 1 (exp a)))) (/ 1 (exp a)))
(fma.f64 (exp.f64 (neg.f64 a)) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (exp.f64 (neg.f64 a)))
(+ (* b (+ (* b (+ (* 1/6 (/ b (exp a))) (* 1/2 (/ 1 (exp a))))) (/ 1 (exp a)))) (/ 1 (exp a)))
(fma.f64 b (*.f64 (exp.f64 (neg.f64 a)) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (exp.f64 (neg.f64 a)))
(/ 1 (exp (- a b)))
(exp.f64 (-.f64 b a))
(/ 1 (exp (- a b)))
(exp.f64 (-.f64 b a))
(/ 1 (exp (- a b)))
(exp.f64 (-.f64 b a))
(/ 1 (exp (- a b)))
(exp.f64 (-.f64 b a))
(/ 1 (exp (+ a (* -1 b))))
(exp.f64 (-.f64 b a))
(/ 1 (exp (+ a (* -1 b))))
(exp.f64 (-.f64 b a))
(/ 1 (exp (+ a (* -1 b))))
(exp.f64 (-.f64 b a))
(/ 1 (exp (+ a (* -1 b))))
(exp.f64 (-.f64 b a))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(+ (* a (- (+ (* a (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (fma.f64 a (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (neg.f64 (exp.f64 b)) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (* a (- (* 1/6 (/ 1 (+ 1 (exp b)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (+ 1 (exp b))) (/ (* (- (* 1/2 (+ 1 (exp b))) 1/2) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (fma.f64 a (fma.f64 a (-.f64 (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (neg.f64 (exp.f64 b)) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))) (/.f64 (neg.f64 (exp.f64 b)) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 b) #s(literal 0 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (/.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (neg.f64 (exp.f64 b)) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (neg a)) (+ 1 (exp a))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
(+ (* -1 (/ b (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) (/.f64 b (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))))
(+ (* b (- (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
(fma.f64 b (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
(+ (* b (- (* b (- (+ (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (+ (* 1/6 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 4)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3)))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
(fma.f64 b (fma.f64 b (fma.f64 b (+.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal -1/6 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 4 binary64))))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (+ (exp b) (* a (+ 1 (* -1 (+ 1 (exp b)))))))
(fma.f64 (exp.f64 b) (-.f64 #s(literal 1 binary64) a) #s(literal 1 binary64))
(+ 1 (+ (exp b) (* a (+ 1 (+ (* -1 (+ 1 (exp b))) (* a (- (* 1/2 (+ 1 (exp b))) 1/2)))))))
(+.f64 (fma.f64 (exp.f64 b) (-.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) (*.f64 a (*.f64 a (fma.f64 #s(literal 1/2 binary64) (exp.f64 b) #s(literal 0 binary64)))))
(+ 1 (+ (exp b) (* a (+ 1 (+ (* -1 (+ 1 (exp b))) (* a (- (+ (* 1/2 (+ 1 (exp b))) (* a (+ 1/6 (* -1/6 (+ 1 (exp b)))))) 1/2)))))))
(+.f64 (fma.f64 (exp.f64 b) (-.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) (*.f64 a (*.f64 a (fma.f64 a #s(literal 1/6 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))))))
(* (exp (neg a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (* -1 a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (* -1 a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (* -1 a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (* -1 a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (neg a)) (+ 1 (exp a)))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
(+ (* b (exp (neg a))) (* (exp (neg a)) (+ 1 (exp a))))
(fma.f64 (exp.f64 (neg.f64 a)) (+.f64 #s(literal 1 binary64) b) #s(literal 1 binary64))
(+ (* b (+ (exp (neg a)) (* 1/2 (* b (exp (neg a)))))) (* (exp (neg a)) (+ 1 (exp a))))
(+.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (neg.f64 a)) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (exp.f64 (neg.f64 a))))
(+ (* b (+ (exp (neg a)) (* b (+ (* 1/6 (* b (exp (neg a)))) (* 1/2 (exp (neg a))))))) (* (exp (neg a)) (+ 1 (exp a))))
(+.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 (exp.f64 (neg.f64 a)) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (exp.f64 (neg.f64 a))))
(* (exp (neg a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(+ 1 (/ 1 (exp (neg b))))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (+ (* -1 (/ a (exp (neg b)))) (/ 1 (exp (neg b)))))
(fma.f64 (exp.f64 b) (-.f64 #s(literal 1 binary64) a) #s(literal 1 binary64))
(+ 1 (+ (* a (- (* 1/2 (/ a (exp (neg b)))) (/ 1 (exp (neg b))))) (/ 1 (exp (neg b)))))
(+.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 (exp.f64 b) (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64))) (exp.f64 b)))
(+ 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 a (*.f64 (*.f64 a (exp.f64 b)) (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (fma.f64 (exp.f64 b) (-.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)))
(+ 1 (/ 1 (exp (- a b))))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(+ 1 (/ 1 (exp (- a b))))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(+ 1 (/ 1 (exp (- a b))))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(+ 1 (/ 1 (exp (- a b))))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(+ 1 (/ 1 (exp (neg (+ b (* -1 a))))))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(+ 1 (/ 1 (exp (neg (+ b (* -1 a))))))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(+ 1 (/ 1 (exp (neg (+ b (* -1 a))))))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(+ 1 (/ 1 (exp (neg (+ b (* -1 a))))))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(+ 1 (/ 1 (exp a)))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
(+ 1 (+ (/ 1 (exp a)) (/ b (exp a))))
(fma.f64 (exp.f64 (neg.f64 a)) (+.f64 #s(literal 1 binary64) b) #s(literal 1 binary64))
(+ 1 (+ (* b (+ (* 1/2 (/ b (exp a))) (/ 1 (exp a)))) (/ 1 (exp a))))
(+.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (neg.f64 a)) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (exp.f64 (neg.f64 a))))
(+ 1 (+ (* b (+ (* b (+ (* 1/6 (/ b (exp a))) (* 1/2 (/ 1 (exp a))))) (/ 1 (exp a)))) (/ 1 (exp a))))
(+.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 (exp.f64 (neg.f64 a)) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (exp.f64 (neg.f64 a))))
(+ 1 (/ 1 (exp (- a b))))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(+ 1 (/ 1 (exp (- a b))))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(+ 1 (/ 1 (exp (- a b))))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(+ 1 (/ 1 (exp (- a b))))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(+ 1 (/ 1 (exp (+ a (* -1 b)))))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(+ 1 (/ 1 (exp (+ a (* -1 b)))))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(+ 1 (/ 1 (exp (+ a (* -1 b)))))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(+ 1 (/ 1 (exp (+ a (* -1 b)))))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (fma.f64 a (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal -3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
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(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
(fma.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(+ (* a (- (+ (* a (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (fma.f64 a (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (neg.f64 (exp.f64 b)) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (* a (- (* 1/6 (/ 1 (+ 1 (exp b)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (+ 1 (exp b))) (/ (* (- (* 1/2 (+ 1 (exp b))) 1/2) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (fma.f64 a (fma.f64 a (-.f64 (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (neg.f64 (exp.f64 b)) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))) (/.f64 (neg.f64 (exp.f64 b)) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 b) #s(literal 0 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (/.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))))) (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (neg.f64 (exp.f64 b)) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (neg a)) (+ 1 (exp a))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
(+ (* -1 (/ b (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) (/.f64 b (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))))
(+ (* b (- (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
(fma.f64 b (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
(+ (* b (- (* b (- (+ (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (+ (* 1/6 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 4)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3)))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
(fma.f64 b (fma.f64 b (fma.f64 b (+.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal -1/6 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 4 binary64))))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (+ (exp b) (* a (+ 1 (* -1 (+ 1 (exp b)))))))
(fma.f64 (exp.f64 b) (-.f64 #s(literal 1 binary64) a) #s(literal 1 binary64))
(+ 1 (+ (exp b) (* a (+ 1 (+ (* -1 (+ 1 (exp b))) (* a (- (* 1/2 (+ 1 (exp b))) 1/2)))))))
(+.f64 (fma.f64 (exp.f64 b) (-.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) (*.f64 a (*.f64 a (fma.f64 #s(literal 1/2 binary64) (exp.f64 b) #s(literal 0 binary64)))))
(+ 1 (+ (exp b) (* a (+ 1 (+ (* -1 (+ 1 (exp b))) (* a (- (+ (* 1/2 (+ 1 (exp b))) (* a (+ 1/6 (* -1/6 (+ 1 (exp b)))))) 1/2)))))))
(+.f64 (fma.f64 (exp.f64 b) (-.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) (*.f64 a (*.f64 a (fma.f64 a #s(literal 1/6 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))))))
(* (exp (neg a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (* -1 a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (* -1 a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (* -1 a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (* -1 a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (neg a)) (+ 1 (exp a)))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
(+ (* b (exp (neg a))) (* (exp (neg a)) (+ 1 (exp a))))
(fma.f64 (exp.f64 (neg.f64 a)) (+.f64 #s(literal 1 binary64) b) #s(literal 1 binary64))
(+ (* b (+ (exp (neg a)) (* 1/2 (* b (exp (neg a)))))) (* (exp (neg a)) (+ 1 (exp a))))
(+.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (neg.f64 a)) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b) (exp.f64 (neg.f64 a))))
(+ (* b (+ (exp (neg a)) (* b (+ (* 1/6 (* b (exp (neg a)))) (* 1/2 (exp (neg a))))))) (* (exp (neg a)) (+ 1 (exp a))))
(+.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 (exp.f64 (neg.f64 a)) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (exp.f64 (neg.f64 a))))
(* (exp (neg a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* (exp (neg a)) (+ (exp a) (exp b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
2
#s(literal 2 binary64)
(+ 2 (* -1 a))
(-.f64 #s(literal 2 binary64) a)
(+ 2 (* a (- (* 1/2 a) 1)))
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))
(+ 2 (* a (- (* a (+ 1/2 (* -1/6 a))) 1)))
(fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))
(+ 1 (exp (neg a)))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
(+ 1 (exp (neg a)))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
(+ 1 (exp (neg a)))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
(+ 1 (exp (neg a)))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
(+ 1 (exp (* -1 a)))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
(+ 1 (exp (* -1 a)))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
(+ 1 (exp (* -1 a)))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
(+ 1 (exp (* -1 a)))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
1
#s(literal 1 binary64)
(+ 1 (* -1 a))
(-.f64 #s(literal 1 binary64) a)
(+ 1 (* a (- (* 1/2 a) 1)))
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* a (- (* a (+ 1/2 (* -1/6 a))) 1)))
(fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(exp (neg a))
(exp.f64 (neg.f64 a))
(exp (neg a))
(exp.f64 (neg.f64 a))
(exp (neg a))
(exp.f64 (neg.f64 a))
(exp (neg a))
(exp.f64 (neg.f64 a))
(exp (* -1 a))
(exp.f64 (neg.f64 a))
(exp (* -1 a))
(exp.f64 (neg.f64 a))
(exp (* -1 a))
(exp.f64 (neg.f64 a))
(exp (* -1 a))
(exp.f64 (neg.f64 a))
1
#s(literal 1 binary64)
(+ 1 b)
(+.f64 #s(literal 1 binary64) b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
1
#s(literal 1 binary64)
(+ 1 a)
(+.f64 #s(literal 1 binary64) a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(/ 1/2 (pow b 3))
(/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b)))
(/ (+ 1/2 (* -1/4 b)) (pow b 3))
(/.f64 (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b b)))
(/ (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4))) (pow b 3))
(/.f64 (fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b b)))
(/ (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4))) (pow b 3))
(/.f64 (fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b b)))
1/48
#s(literal 1/48 binary64)
(- 1/48 (* 1/4 (/ 1 (pow b 2))))
(+.f64 #s(literal 1/48 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 b b)))
(- (+ 1/48 (/ 1/2 (pow b 3))) (* 1/4 (/ 1 (pow b 2))))
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b))) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 b b)) #s(literal -1/48 binary64)))
(- (+ 1/48 (/ 1/2 (pow b 3))) (* 1/4 (/ 1 (pow b 2))))
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b))) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 b b)) #s(literal -1/48 binary64)))
1/48
#s(literal 1/48 binary64)
(- 1/48 (* 1/4 (/ 1 (pow b 2))))
(+.f64 #s(literal 1/48 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 b b)))
(- (+ 1/48 (/ 1/2 (pow b 3))) (* 1/4 (/ 1 (pow b 2))))
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b))) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 b b)) #s(literal -1/48 binary64)))
(- (+ 1/48 (/ 1/2 (pow b 3))) (* 1/4 (/ 1 (pow b 2))))
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b))) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 b b)) #s(literal -1/48 binary64)))

rewrite433.0ms (4.8%)

Memory
6.9MiB live, 685.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 012×lower-/.f32
5 000×lower-/.f64
4 942×lower-fma.f32
4 940×lower-fma.f64
4 302×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059370
082352
1361337
22927332
010154318
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
23 → 443
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 a b)))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 a b))))))
#s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 a b)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 a b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(approx (+ (* b (* b (+ (* (* b b) -1/480) 1/48))) -1/4) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(approx (+ (* b (* b (+ (* (* b b) -1/480) 1/48))) -1/4) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))
(fma.f64 b #s(approx (+ (* b (* b (+ (* (* b b) -1/480) 1/48))) -1/4) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
#s(approx (+ (* b (* b (+ (* (* b b) -1/480) 1/48))) -1/4) #s(literal -1/4 binary64))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (exp a) (+.f64 #s(literal 1 binary64) a))
(+.f64 #s(literal 1 binary64) a)
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))
(*.f64 (*.f64 b b) (+.f64 (-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b)))))
(*.f64 b (*.f64 (*.f64 b b) (+.f64 (-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b (+ (* 1/48 (* b b)) -1/4)) 1/2) (*.f64 b (*.f64 (*.f64 b b) (+.f64 (-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b)))))))))
#s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b (+ (* 1/48 (* b b)) -1/4)) 1/2) (*.f64 b (*.f64 (*.f64 b b) (+.f64 (-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b))))))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
#s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
(exp.f64 (neg.f64 a))
#s(approx (exp b) #s(literal 1 binary64))
#s(approx (exp a) #s(literal 1 binary64))
(+.f64 (-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b))))
Outputs
(exp.f64 (+.f64 (neg.f64 a) b))
(neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 (-.f64 a b))))
(/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 a b)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 (-.f64 a b)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (-.f64 a b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (exp.f64 (-.f64 a b))))))
(pow.f64 (exp.f64 (-.f64 a b)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (+.f64 (-.f64 a b) (-.f64 a b))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 a b))
(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 -1/2 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b)))
(*.f64 (exp.f64 (+.f64 (neg.f64 a) b)) #s(literal 1 binary64))
(*.f64 (exp.f64 (neg.f64 a)) (exp.f64 b))
(*.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 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 (-.f64 a b))))
(*.f64 (exp.f64 (*.f64 (-.f64 a b) #s(literal -1/2 binary64))) (exp.f64 (*.f64 (-.f64 a b) #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (log.f64 #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))))))))
(pow.f64 #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b)))) #s(literal -1 binary64))
(pow.f64 (neg.f64 (neg.f64 #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b)))))) #s(literal -1 binary64))
(pow.f64 (pow.f64 #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b)))) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b)))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))))))
(*.f64 (pow.f64 #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b)))) #s(literal -1/2 binary64)) (pow.f64 #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b)))) #s(literal -1/2 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b)))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))))))
(/.f64 #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b)))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b)))))))
(/.f64 (neg.f64 #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b)))))) #s(literal 1 binary64))
#s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))))
(pow.f64 #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b)))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))))) #s(literal -1 binary64))
(*.f64 #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b)))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b)))
(+.f64 (exp.f64 (+.f64 (neg.f64 a) b)) #s(literal 1 binary64))
(+.f64 (exp.f64 (+.f64 a (neg.f64 a))) (exp.f64 (+.f64 b (neg.f64 a))))
(+.f64 (exp.f64 (+.f64 b (neg.f64 a))) (exp.f64 (+.f64 a (neg.f64 a))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b)))) (/.f64 (exp.f64 (*.f64 (-.f64 a b) #s(literal -2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b)))))
(-.f64 (/.f64 (exp.f64 (*.f64 (-.f64 a b) #s(literal -2 binary64))) (expm1.f64 (+.f64 (neg.f64 a) b))) (/.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (neg.f64 a) b))))
(-.f64 (/.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 a)) (/.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 a)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 a))) (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (neg.f64 (exp.f64 a))))
(-.f64 (/.f64 (exp.f64 (+.f64 a a)) (*.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b)))) (/.f64 (exp.f64 (+.f64 b b)) (*.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b)))))
(fma.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b)) #s(literal 1 binary64))
(fma.f64 (exp.f64 (+.f64 (neg.f64 a) b)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (exp.f64 a) (exp.f64 (neg.f64 a)) (exp.f64 (+.f64 b (neg.f64 a))))
(fma.f64 (exp.f64 b) (exp.f64 (neg.f64 a)) (exp.f64 (+.f64 a (neg.f64 a))))
(fma.f64 (exp.f64 (neg.f64 a)) (exp.f64 b) #s(literal 1 binary64))
(fma.f64 (exp.f64 (neg.f64 a)) (pow.f64 (exp.f64 (neg.f64 b)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (exp.f64 (neg.f64 a)) (exp.f64 (neg.f64 (neg.f64 b))) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 (-.f64 a b))) #s(literal 1 binary64))
(fma.f64 (exp.f64 (*.f64 (-.f64 a b) #s(literal -1/2 binary64))) (exp.f64 (*.f64 (-.f64 a b) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (exp.f64 (+.f64 (neg.f64 a) b)) (expm1.f64 (+.f64 (neg.f64 a) b)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 a b) #s(literal -3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 a b) #s(literal -2 binary64))))))
(/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (exp.f64 (+.f64 (neg.f64 a) b)) (expm1.f64 (+.f64 (neg.f64 a) b)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 a b) #s(literal -3 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 a b) #s(literal -2 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))))))
(/.f64 (neg.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (neg.f64 (exp.f64 a)))
(/.f64 (+.f64 (exp.f64 (*.f64 b #s(literal 3 binary64))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (*.f64 (exp.f64 a) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))))))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 a b) #s(literal -3 binary64)))) (fma.f64 (exp.f64 (+.f64 (neg.f64 a) b)) (expm1.f64 (+.f64 (neg.f64 a) b)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 a b) #s(literal -3 binary64)))) (+.f64 (exp.f64 (*.f64 (-.f64 a b) #s(literal -2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b)))))
(/.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (*.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 a b) #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))))
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 b #s(literal 3 binary64))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))) (exp.f64 a)))
(/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) #s(literal 1 binary64)) (*.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 b #s(literal 3 binary64))) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (*.f64 (exp.f64 a) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (*.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 b #s(literal 3 binary64))) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (neg.f64 (*.f64 (exp.f64 a) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (neg.f64 (*.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (neg.f64 (neg.f64 (exp.f64 a))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 a b) #s(literal -3 binary64))))) (neg.f64 (fma.f64 (exp.f64 (+.f64 (neg.f64 a) b)) (expm1.f64 (+.f64 (neg.f64 a) b)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 a b) #s(literal -3 binary64))))) (neg.f64 (+.f64 (exp.f64 (*.f64 (-.f64 a b) #s(literal -2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))))))
(/.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 (neg.f64 a) b)))))
(/.f64 (expm1.f64 (*.f64 (-.f64 a b) #s(literal -2 binary64))) (expm1.f64 (+.f64 (neg.f64 a) b)))
(/.f64 (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal 1 binary64)) (exp.f64 a))
(/.f64 (*.f64 (exp.f64 (neg.f64 a)) (+.f64 (exp.f64 (*.f64 b #s(literal 3 binary64))) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))))
(/.f64 (*.f64 (exp.f64 (neg.f64 a)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 b #s(literal 3 binary64))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (exp.f64 (neg.f64 a))) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))))
(/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (exp.f64 (neg.f64 a))) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 a))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 a b) #s(literal -3 binary64)))))) (neg.f64 (neg.f64 (fma.f64 (exp.f64 (+.f64 (neg.f64 a) b)) (expm1.f64 (+.f64 (neg.f64 a) b)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 a b) #s(literal -2 binary64)))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (-.f64 a b) #s(literal -2 binary64)))) (neg.f64 (expm1.f64 (+.f64 (neg.f64 a) b))))
(/.f64 (neg.f64 (*.f64 (+.f64 (exp.f64 (*.f64 b #s(literal 3 binary64))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))) (exp.f64 a))))
(/.f64 (neg.f64 (*.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 b #s(literal 3 binary64))) (exp.f64 (*.f64 a #s(literal 3 binary64)))))) (neg.f64 (*.f64 (exp.f64 a) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))))) (neg.f64 (*.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal 1 binary64))) (neg.f64 (exp.f64 a)))
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(/.f64 (+.f64 #s(literal 1/110592 binary64) (pow.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b)))) #s(literal 3 binary64))) (+.f64 #s(literal 1/2304 binary64) (-.f64 (*.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b)))) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b))))) (*.f64 #s(literal 1/48 binary64) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b))))))))
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b))) #s(literal 1/48 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))))) (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b))) #s(literal 1/48 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b))) #s(literal 1/48 binary64)) (-.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b))) #s(literal 1/48 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 b b))))))
(pow.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1/48 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 b b))) (+.f64 #s(literal 1/48 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 b b))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1/48 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 b b)))) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 2 binary64)))) (fma.f64 (+.f64 #s(literal 1/48 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 b b))) (*.f64 (+.f64 #s(literal 1/48 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 b b))) (+.f64 #s(literal 1/48 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 b b)))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1/48 binary64) (/.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) b)) (*.f64 b b))) (*.f64 (-.f64 #s(literal 1/48 binary64) (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) b)) (*.f64 b b))) (+.f64 #s(literal 1/48 binary64) (/.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) b)) (*.f64 b b))))) #s(literal -1 binary64))
(*.f64 (fma.f64 (+.f64 #s(literal 1/48 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 b b))) (*.f64 (+.f64 #s(literal 1/48 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 b b))) (+.f64 #s(literal 1/48 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 b b)))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/48 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 b b))) (+.f64 #s(literal 1/48 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 b b))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1/48 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 b b)))) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 2 binary64))))))
(*.f64 (*.f64 (-.f64 #s(literal 1/48 binary64) (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) b)) (*.f64 b b))) (+.f64 #s(literal 1/48 binary64) (/.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) b)) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/48 binary64) (/.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) b)) (*.f64 b b)))))

eval97.0ms (1.1%)

Memory
14.2MiB live, 203.6MiB allocated
Compiler

Compiled 18 877 to 1 711 computations (90.9% saved)

prune92.0ms (1%)

Memory
-0.8MiB live, 210.6MiB allocated
Pruning

28 alts after pruning (18 fresh and 10 done)

PrunedKeptTotal
New82710837
Fresh3811
Picked325
Done088
Total83328861
Accuracy
100.0%
Counts
861 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓63.6%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
✓61.9%
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
✓61.0%
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 #s(literal 1 binary64) (+.f64 b (exp.f64 a)))))
61.0%
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ 1 (+ b (exp a))) (+.f64 b (fma.f64 b (/.f64 (exp.f64 a) b) #s(literal 1 binary64))))))
42.4%
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) #s(literal 1 binary64))))
55.6%
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
38.7%
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
✓100.0%
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))))
✓64.0%
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
55.5%
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) #s(approx (exp (neg a)) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))))
42.8%
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) #s(approx (exp (neg a)) (-.f64 #s(literal 1 binary64) a)))))
57.2%
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))))
55.5%
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))))
42.8%
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a))))
✓85.3%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
55.9%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
53.4%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
39.0%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
28.6%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
85.4%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (exp.f64 (*.f64 (log1p.f64 (exp.f64 b)) #s(literal -1 binary64))))
✓38.5%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64))) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
✓37.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
✓38.8%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(approx (+ (* b (* b (+ (* (* b b) -1/480) 1/48))) -1/4) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
37.6%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal -1/2 binary64)) (fma.f64 (*.f64 b b) (*.f64 (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64))) #s(literal -1/4 binary64))))))
10.9%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b (+ (* b (* b (+ (* (* b b) -1/480) 1/48))) -1/4)) 1/2) (*.f64 #s(literal -1/480 binary64) (pow.f64 b #s(literal 5 binary64))))))
18.1%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b (+ (* 1/48 (* b b)) -1/4)) 1/2) (*.f64 b (*.f64 (*.f64 b b) #s(approx (+ (- 1/48 (/ 1/4 (* b b))) (/ 1/2 (* b (* b b)))) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b)))))))))
8.5%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b (+ (* 1/48 (* b b)) -1/4)) 1/2) #s(approx (* b (* (* b b) (+ (- 1/48 (/ 1/4 (* b b))) (/ 1/2 (* b (* b b)))))) (*.f64 #s(literal 1/48 binary64) (*.f64 b (*.f64 b b)))))))
✓41.6%
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))
Compiler

Compiled 881 to 353 computations (59.9% saved)

regimes55.0ms (0.6%)

Memory
-5.4MiB live, 113.1MiB allocated
Counts
40 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(approx (+ (* b (* b (+ (* (* b b) -1/480) 1/48))) -1/4) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b (+ (* 1/48 (* b b)) -1/4)) 1/2) #s(approx (* b (* (* b b) (+ (- 1/48 (/ 1/4 (* b b))) (/ 1/2 (* b (* b b)))))) (*.f64 #s(literal 1/48 binary64) (*.f64 b (*.f64 b b)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b (+ (* 1/48 (* b b)) -1/4)) 1/2) (*.f64 b (*.f64 #s(literal 1/48 binary64) (*.f64 b b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) #s(approx (exp (neg a)) (-.f64 #s(literal 1 binary64) a)))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) #s(approx (exp (neg a)) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))))
(/.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64))) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b (+ (* 1/48 (* b b)) -1/4)) 1/2) (*.f64 b (*.f64 (*.f64 b b) #s(approx (+ (- 1/48 (/ 1/4 (* b b))) (/ 1/2 (* b (* b b)))) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b)))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b (+ (* 1/48 (* b b)) -1/4)) 1/2) (*.f64 b (*.f64 (*.f64 b b) (+.f64 (-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b)))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b (+ (* b (* b (+ (* (* b b) -1/480) 1/48))) -1/4)) 1/2) (*.f64 #s(literal -1/480 binary64) (pow.f64 b #s(literal 5 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal -1/2 binary64)) (fma.f64 (*.f64 b b) (*.f64 (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64))) #s(literal -1/4 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 a b))))))
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 #s(literal 1 binary64) (+.f64 b (exp.f64 a)))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ 1 (+ b (exp a))) (+.f64 b (fma.f64 b (/.f64 (exp.f64 a) b) #s(literal 1 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (exp.f64 (*.f64 (log1p.f64 (exp.f64 b)) #s(literal -1 binary64))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))))
(/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))
(/.f64 (exp.f64 a) (/.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b))))))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))))
Calls

5 calls:

12.0ms
a
11.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
11.0ms
b
10.0ms
(exp.f64 b)
9.0ms
(exp.f64 a)
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 24 to 16 computations (33.3% saved)

regimes39.0ms (0.4%)

Memory
11.8MiB live, 90.5MiB allocated
Counts
29 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(approx (+ (* b (* b (+ (* (* b b) -1/480) 1/48))) -1/4) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b (+ (* 1/48 (* b b)) -1/4)) 1/2) #s(approx (* b (* (* b b) (+ (- 1/48 (/ 1/4 (* b b))) (/ 1/2 (* b (* b b)))))) (*.f64 #s(literal 1/48 binary64) (*.f64 b (*.f64 b b)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b (+ (* 1/48 (* b b)) -1/4)) 1/2) (*.f64 b (*.f64 #s(literal 1/48 binary64) (*.f64 b b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) #s(approx (exp (neg a)) (-.f64 #s(literal 1 binary64) a)))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) #s(approx (exp (neg a)) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))))
(/.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64))) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b (+ (* 1/48 (* b b)) -1/4)) 1/2) (*.f64 b (*.f64 (*.f64 b b) #s(approx (+ (- 1/48 (/ 1/4 (* b b))) (/ 1/2 (* b (* b b)))) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b)))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b (+ (* 1/48 (* b b)) -1/4)) 1/2) (*.f64 b (*.f64 (*.f64 b b) (+.f64 (-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b)))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b (+ (* b (* b (+ (* (* b b) -1/480) 1/48))) -1/4)) 1/2) (*.f64 #s(literal -1/480 binary64) (pow.f64 b #s(literal 5 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal -1/2 binary64)) (fma.f64 (*.f64 b b) (*.f64 (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64))) #s(literal -1/4 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
Calls

5 calls:

9.0ms
b
8.0ms
a
7.0ms
(exp.f64 a)
7.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
7.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
98.4%2a
99.7%3b
85.3%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
98.4%2(exp.f64 a)
99.7%3(exp.f64 b)
Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes17.0ms (0.2%)

Memory
-11.9MiB live, 30.9MiB allocated
Counts
28 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(approx (+ (* b (* b (+ (* (* b b) -1/480) 1/48))) -1/4) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b (+ (* 1/48 (* b b)) -1/4)) 1/2) #s(approx (* b (* (* b b) (+ (- 1/48 (/ 1/4 (* b b))) (/ 1/2 (* b (* b b)))))) (*.f64 #s(literal 1/48 binary64) (*.f64 b (*.f64 b b)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b (+ (* 1/48 (* b b)) -1/4)) 1/2) (*.f64 b (*.f64 #s(literal 1/48 binary64) (*.f64 b b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) #s(approx (exp (neg a)) (-.f64 #s(literal 1 binary64) a)))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) #s(approx (exp (neg a)) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))))
(/.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64))) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b (+ (* 1/48 (* b b)) -1/4)) 1/2) (*.f64 b (*.f64 (*.f64 b b) #s(approx (+ (- 1/48 (/ 1/4 (* b b))) (/ 1/2 (* b (* b b)))) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b)))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b (+ (* 1/48 (* b b)) -1/4)) 1/2) (*.f64 b (*.f64 (*.f64 b b) (+.f64 (-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b)))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b (+ (* b (* b (+ (* (* b b) -1/480) 1/48))) -1/4)) 1/2) (*.f64 #s(literal -1/480 binary64) (pow.f64 b #s(literal 5 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal -1/2 binary64)) (fma.f64 (*.f64 b b) (*.f64 (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64))) #s(literal -1/4 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
Outputs
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
Calls

2 calls:

8.0ms
a
7.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
98.2%2a
97.8%2(exp.f64 a)
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes30.0ms (0.3%)

Memory
18.1MiB live, 57.3MiB allocated
Counts
27 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(approx (+ (* b (* b (+ (* (* b b) -1/480) 1/48))) -1/4) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b (+ (* 1/48 (* b b)) -1/4)) 1/2) #s(approx (* b (* (* b b) (+ (- 1/48 (/ 1/4 (* b b))) (/ 1/2 (* b (* b b)))))) (*.f64 #s(literal 1/48 binary64) (*.f64 b (*.f64 b b)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b (+ (* 1/48 (* b b)) -1/4)) 1/2) (*.f64 b (*.f64 #s(literal 1/48 binary64) (*.f64 b b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) #s(approx (exp (neg a)) (-.f64 #s(literal 1 binary64) a)))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) #s(approx (exp (neg a)) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))))
(/.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64))) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b (+ (* 1/48 (* b b)) -1/4)) 1/2) (*.f64 b (*.f64 (*.f64 b b) #s(approx (+ (- 1/48 (/ 1/4 (* b b))) (/ 1/2 (* b (* b b)))) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b)))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b (+ (* 1/48 (* b b)) -1/4)) 1/2) (*.f64 b (*.f64 (*.f64 b b) (+.f64 (-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b)))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b (+ (* b (* b (+ (* (* b b) -1/480) 1/48))) -1/4)) 1/2) (*.f64 #s(literal -1/480 binary64) (pow.f64 b #s(literal 5 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal -1/2 binary64)) (fma.f64 (*.f64 b b) (*.f64 (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64))) #s(literal -1/4 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
Calls

4 calls:

8.0ms
a
8.0ms
b
7.0ms
(exp.f64 b)
6.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
92.2%2(exp.f64 a)
95.3%3b
95.3%3(exp.f64 b)
94.1%2a
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes59.0ms (0.7%)

Memory
-16.9MiB live, 61.7MiB allocated
Counts
26 → 3
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(approx (+ (* b (* b (+ (* (* b b) -1/480) 1/48))) -1/4) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b (+ (* 1/48 (* b b)) -1/4)) 1/2) #s(approx (* b (* (* b b) (+ (- 1/48 (/ 1/4 (* b b))) (/ 1/2 (* b (* b b)))))) (*.f64 #s(literal 1/48 binary64) (*.f64 b (*.f64 b b)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b (+ (* 1/48 (* b b)) -1/4)) 1/2) (*.f64 b (*.f64 #s(literal 1/48 binary64) (*.f64 b b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) #s(approx (exp (neg a)) (-.f64 #s(literal 1 binary64) a)))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) #s(approx (exp (neg a)) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))))
(/.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64))) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b (+ (* 1/48 (* b b)) -1/4)) 1/2) (*.f64 b (*.f64 (*.f64 b b) #s(approx (+ (- 1/48 (/ 1/4 (* b b))) (/ 1/2 (* b (* b b)))) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b)))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b (+ (* 1/48 (* b b)) -1/4)) 1/2) (*.f64 b (*.f64 (*.f64 b b) (+.f64 (-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b)))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b (+ (* b (* b (+ (* (* b b) -1/480) 1/48))) -1/4)) 1/2) (*.f64 #s(literal -1/480 binary64) (pow.f64 b #s(literal 5 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal -1/2 binary64)) (fma.f64 (*.f64 b b) (*.f64 (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64))) #s(literal -1/4 binary64))))))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
Calls

5 calls:

31.0ms
b
8.0ms
a
6.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
6.0ms
(exp.f64 a)
6.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
76.4%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
65.0%2(exp.f64 a)
87.0%3b
86.1%3(exp.f64 b)
67.6%3a
Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes81.0ms (0.9%)

Memory
-14.6MiB live, 26.4MiB allocated
Counts
23 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(approx (+ (* b (* b (+ (* (* b b) -1/480) 1/48))) -1/4) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b (+ (* 1/48 (* b b)) -1/4)) 1/2) #s(approx (* b (* (* b b) (+ (- 1/48 (/ 1/4 (* b b))) (/ 1/2 (* b (* b b)))))) (*.f64 #s(literal 1/48 binary64) (*.f64 b (*.f64 b b)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b (+ (* 1/48 (* b b)) -1/4)) 1/2) (*.f64 b (*.f64 #s(literal 1/48 binary64) (*.f64 b b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) #s(approx (exp (neg a)) (-.f64 #s(literal 1 binary64) a)))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) #s(approx (exp (neg a)) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))))
(/.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64))) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b (+ (* 1/48 (* b b)) -1/4)) 1/2) (*.f64 b (*.f64 (*.f64 b b) #s(approx (+ (- 1/48 (/ 1/4 (* b b))) (/ 1/2 (* b (* b b)))) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b)))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b (+ (* 1/48 (* b b)) -1/4)) 1/2) (*.f64 b (*.f64 (*.f64 b b) (+.f64 (-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b)))))))))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
Calls

3 calls:

67.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
7.0ms
b
5.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
60.1%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
68.9%2(exp.f64 b)
69.7%2b
Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes12.0ms (0.1%)

Memory
25.3MiB live, 25.3MiB allocated
Counts
19 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(approx (+ (* b (* b (+ (* (* b b) -1/480) 1/48))) -1/4) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b (+ (* 1/48 (* b b)) -1/4)) 1/2) #s(approx (* b (* (* b b) (+ (- 1/48 (/ 1/4 (* b b))) (/ 1/2 (* b (* b b)))))) (*.f64 #s(literal 1/48 binary64) (*.f64 b (*.f64 b b)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b (+ (* 1/48 (* b b)) -1/4)) 1/2) (*.f64 b (*.f64 #s(literal 1/48 binary64) (*.f64 b b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) #s(approx (exp (neg a)) (-.f64 #s(literal 1 binary64) a)))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) #s(approx (exp (neg a)) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))))
(/.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64))) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
Calls

2 calls:

6.0ms
b
5.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
67.2%2(exp.f64 b)
68.1%2b
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes74.0ms (0.8%)

Memory
-11.9MiB live, 27.0MiB allocated
Counts
18 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(approx (+ (* b (* b (+ (* (* b b) -1/480) 1/48))) -1/4) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b (+ (* 1/48 (* b b)) -1/4)) 1/2) #s(approx (* b (* (* b b) (+ (- 1/48 (/ 1/4 (* b b))) (/ 1/2 (* b (* b b)))))) (*.f64 #s(literal 1/48 binary64) (*.f64 b (*.f64 b b)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b (+ (* 1/48 (* b b)) -1/4)) 1/2) (*.f64 b (*.f64 #s(literal 1/48 binary64) (*.f64 b b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) #s(approx (exp (neg a)) (-.f64 #s(literal 1 binary64) a)))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) #s(approx (exp (neg a)) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))))
(/.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64))) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
Calls

3 calls:

63.0ms
b
6.0ms
a
4.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
64.0%3a
64.5%2(exp.f64 b)
65.8%2b
Compiler

Compiled 10 to 7 computations (30% saved)

regimes105.0ms (1.2%)

Memory
-0.6MiB live, 37.6MiB allocated
Counts
14 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(approx (+ (* b (* b (+ (* (* b b) -1/480) 1/48))) -1/4) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b (+ (* 1/48 (* b b)) -1/4)) 1/2) #s(approx (* b (* (* b b) (+ (- 1/48 (/ 1/4 (* b b))) (/ 1/2 (* b (* b b)))))) (*.f64 #s(literal 1/48 binary64) (*.f64 b (*.f64 b b)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b (+ (* 1/48 (* b b)) -1/4)) 1/2) (*.f64 b (*.f64 #s(literal 1/48 binary64) (*.f64 b b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) #s(approx (exp (neg a)) (-.f64 #s(literal 1 binary64) a)))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) #s(approx (exp (neg a)) (-.f64 #s(literal 1 binary64) a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
Calls

5 calls:

88.0ms
a
5.0ms
b
4.0ms
(exp.f64 a)
4.0ms
(exp.f64 b)
4.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Results
AccuracySegmentsBranch
57.1%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
53.4%1a
57.3%2(exp.f64 b)
53.4%1(exp.f64 a)
57.3%2b
Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes22.0ms (0.2%)

Memory
-2.1MiB live, 36.5MiB allocated
Counts
13 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(approx (+ (* b (* b (+ (* (* b b) -1/480) 1/48))) -1/4) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b (+ (* 1/48 (* b b)) -1/4)) 1/2) #s(approx (* b (* (* b b) (+ (- 1/48 (/ 1/4 (* b b))) (/ 1/2 (* b (* b b)))))) (*.f64 #s(literal 1/48 binary64) (*.f64 b (*.f64 b b)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b (+ (* 1/48 (* b b)) -1/4)) 1/2) (*.f64 b (*.f64 #s(literal 1/48 binary64) (*.f64 b b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) #s(approx (exp (neg a)) (-.f64 #s(literal 1 binary64) a)))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) #s(literal 1 binary64))))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b (+ (* 1/48 (* b b)) -1/4)) 1/2) #s(approx (* b (* (* b b) (+ (- 1/48 (/ 1/4 (* b b))) (/ 1/2 (* b (* b b)))))) (*.f64 #s(literal 1/48 binary64) (*.f64 b (*.f64 b b)))))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) #s(literal 1 binary64))))
Calls

5 calls:

5.0ms
(exp.f64 a)
4.0ms
a
4.0ms
b
3.0ms
(exp.f64 b)
3.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Results
AccuracySegmentsBranch
48.4%2a
48.2%2(exp.f64 a)
48.2%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
42.8%1b
42.8%1(exp.f64 b)
Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory
11.5MiB live, 11.5MiB allocated
Counts
12 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(approx (+ (* b (* b (+ (* (* b b) -1/480) 1/48))) -1/4) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b (+ (* 1/48 (* b b)) -1/4)) 1/2) #s(approx (* b (* (* b b) (+ (- 1/48 (/ 1/4 (* b b))) (/ 1/2 (* b (* b b)))))) (*.f64 #s(literal 1/48 binary64) (*.f64 b (*.f64 b b)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b (+ (* 1/48 (* b b)) -1/4)) 1/2) (*.f64 b (*.f64 #s(literal 1/48 binary64) (*.f64 b b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) #s(approx (exp (neg a)) (-.f64 #s(literal 1 binary64) a)))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b (+ (* 1/48 (* b b)) -1/4)) 1/2) #s(approx (* b (* (* b b) (+ (- 1/48 (/ 1/4 (* b b))) (/ 1/2 (* b (* b b)))))) (*.f64 #s(literal 1/48 binary64) (*.f64 b (*.f64 b b)))))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) #s(approx (exp (neg a)) (-.f64 #s(literal 1 binary64) a)))))
Calls

2 calls:

4.0ms
a
3.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
48.2%2(exp.f64 a)
48.2%2a
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes4.0ms (0%)

Memory
6.4MiB live, 6.4MiB allocated
Counts
9 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(approx (+ (* b (* b (+ (* (* b b) -1/480) 1/48))) -1/4) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b (+ (* 1/48 (* b b)) -1/4)) 1/2) #s(approx (* b (* (* b b) (+ (- 1/48 (/ 1/4 (* b b))) (/ 1/2 (* b (* b b)))))) (*.f64 #s(literal 1/48 binary64) (*.f64 b (*.f64 b b)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b (+ (* 1/48 (* b b)) -1/4)) 1/2) (*.f64 b (*.f64 #s(literal 1/48 binary64) (*.f64 b b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b (+ (* 1/48 (* b b)) -1/4)) 1/2) #s(approx (* b (* (* b b) (+ (- 1/48 (/ 1/4 (* b b))) (/ 1/2 (* b (* b b)))))) (*.f64 #s(literal 1/48 binary64) (*.f64 b (*.f64 b b)))))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a))))
Calls

1 calls:

3.0ms
a
Results
AccuracySegmentsBranch
48.2%2a
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes18.0ms (0.2%)

Memory
-52.4MiB live, 15.7MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(approx (+ (* b (* b (+ (* (* b b) -1/480) 1/48))) -1/4) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a))))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a))))
Calls

5 calls:

9.0ms
(exp.f64 b)
2.0ms
b
2.0ms
a
2.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
2.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
42.8%1b
42.8%1(exp.f64 b)
42.8%1(exp.f64 a)
42.8%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
42.8%1a
Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory
14.7MiB live, 14.7MiB allocated
Accuracy

Total -2.4b remaining (-6.4%)

Threshold costs -2.4b (-6.4%)

Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(approx (+ (* b (* b (+ (* (* b b) -1/480) 1/48))) -1/4) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))
Calls

5 calls:

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

Compiled 24 to 16 computations (33.3% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.9998331648194189
0.9999983313035163
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch11.0ms (0.1%)

Memory
17.9MiB live, 17.9MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
10.0ms
-3979493.830176379
-246345.4003608476
Samples
6.0ms112×0valid
Compiler

Compiled 160 to 109 computations (31.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-exp: 2.0ms (54.2% of total)
ival-div: 1.0ms (27.1% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch20.0ms (0.2%)

Memory
-6.8MiB live, 32.1MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
18.0ms
-2.916694787312568e+86
-3.6304776988523405e+81
Samples
7.0ms144×0valid
4.0ms43×0exit
Compiler

Compiled 256 to 182 computations (28.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-exp: 4.0ms (61.1% of total)
ival-div: 1.0ms (15.3% of total)
ival-add: 1.0ms (15.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch28.0ms (0.3%)

Memory
6.6MiB live, 44.9MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
11.0ms
6.851596795796662e+93
3.330122978720744e+98
15.0ms
-154.6235839813759
-0.00022311824021964787
Samples
13.0ms272×0valid
Compiler

Compiled 510 to 357 computations (30% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-exp: 4.0ms (53.8% of total)
ival-div: 2.0ms (26.9% of total)
ival-add: 1.0ms (13.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
2.3MiB live, 2.3MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
6.851596795796662e+93
3.330122978720744e+98
Compiler

Compiled 285 to 195 computations (31.6% saved)

bsearch3.0ms (0%)

Memory
-35.6MiB live, 2.6MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
3.0ms
6.851596795796662e+93
3.330122978720744e+98
Compiler

Compiled 261 to 179 computations (31.4% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
2.922881977460711e+135
3.0175266957310014e+135
Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch10.0ms (0.1%)

Memory
16.5MiB live, 16.6MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
9.0ms
0.00039427173577868073
0.028796953822201116
Samples
5.0ms112×0valid
Compiler

Compiled 195 to 123 computations (36.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-exp: 2.0ms (65.2% of total)
ival-div: 1.0ms (32.6% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
-3979493.830176379
-246345.4003608476
Compiler

Compiled 216 to 109 computations (49.5% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
-3979493.830176379
-246345.4003608476
Compiler

Compiled 195 to 109 computations (44.1% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
-3979493.830176379
-246345.4003608476
Compiler

Compiled 181 to 109 computations (39.8% saved)

simplify15.0ms (0.2%)

Memory
-23.6MiB live, 18.8MiB allocated
Algorithm
1×egg-herbie
Rules
22×+-commutative_binary64
8×sub-neg_binary64
6×*-commutative_binary64
2×1-exp_binary64
2×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0123702
1140702
2145702
3146702
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))))
(if (<=.f64 (exp.f64 a) #s(literal 4503149267407759/4503599627370496 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(if (<=.f64 a #s(literal -250000 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(if (<=.f64 a #s(literal -289999999999999990439408923314585604111800741926699062288579183938467835307784535015424 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(if (<=.f64 b #s(literal -7656119366529843/1125899906842624 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (exp.f64 b) #s(literal 1 binary64))) (if (<=.f64 b #s(literal 2799999999999999997327311866530759511144725380551992854311543048574442425792577054152831541444608 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))))
(if (<=.f64 b #s(literal 2799999999999999997327311866530759511144725380551992854311543048574442425792577054152831541444608 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))))
(if (<=.f64 b #s(literal 2799999999999999997327311866530759511144725380551992854311543048574442425792577054152831541444608 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))))
(if (<=.f64 b #s(literal 3000000000000000046879689905876606443842654259018597599942824422191770764083176855819051506546358345458941448750210678017882032447684608 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))))
(if (<=.f64 b #s(literal 7378697629483821/18446744073709551616 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) #s(approx (exp (neg a)) (-.f64 #s(literal 1 binary64) a))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))))
(if (<=.f64 a #s(literal -250000 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b (+ (* 1/48 (* b b)) -1/4)) 1/2) #s(approx (* b (* (* b b) (+ (- 1/48 (/ 1/4 (* b b))) (/ 1/2 (* b (* b b)))))) (*.f64 #s(literal 1/48 binary64) (*.f64 b (*.f64 b b))))))) (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) #s(literal 1 binary64)))))
(if (<=.f64 a #s(literal -250000 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b (+ (* 1/48 (* b b)) -1/4)) 1/2) #s(approx (* b (* (* b b) (+ (- 1/48 (/ 1/4 (* b b))) (/ 1/2 (* b (* b b)))))) (*.f64 #s(literal 1/48 binary64) (*.f64 b (*.f64 b b))))))) (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) #s(approx (exp (neg a)) (-.f64 #s(literal 1 binary64) a))))))
(if (<=.f64 a #s(literal -250000 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b (+ (* 1/48 (* b b)) -1/4)) 1/2) #s(approx (* b (* (* b b) (+ (- 1/48 (/ 1/4 (* b b))) (/ 1/2 (* b (* b b)))))) (*.f64 #s(literal 1/48 binary64) (*.f64 b (*.f64 b b))))))) (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))))
(if (<=.f64 (exp.f64 a) #s(literal 4503149267407759/4503599627370496 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(if (<=.f64 a #s(literal -250000 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(if (<=.f64 a #s(literal -289999999999999990439408923314585604111800741926699062288579183938467835307784535015424 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(if (<=.f64 b #s(literal -7656119366529843/1125899906842624 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (exp.f64 b) #s(literal 1 binary64))) (if (<=.f64 b #s(literal 2799999999999999997327311866530759511144725380551992854311543048574442425792577054152831541444608 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))))
(if (<=.f64 b #s(literal -7656119366529843/1125899906842624 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (if (<=.f64 b #s(literal 2799999999999999997327311866530759511144725380551992854311543048574442425792577054152831541444608 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))))
(if (<=.f64 b #s(literal 2799999999999999997327311866530759511144725380551992854311543048574442425792577054152831541444608 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))))
(if (<=.f64 b #s(literal 2799999999999999997327311866530759511144725380551992854311543048574442425792577054152831541444608 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))))
(if (<=.f64 b #s(literal 3000000000000000046879689905876606443842654259018597599942824422191770764083176855819051506546358345458941448750210678017882032447684608 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))))
(if (<=.f64 b #s(literal 7378697629483821/18446744073709551616 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) #s(approx (exp (neg a)) (-.f64 #s(literal 1 binary64) a))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))))
(if (<=.f64 a #s(literal -250000 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b (+ (* 1/48 (* b b)) -1/4)) 1/2) #s(approx (* b (* (* b b) (+ (- 1/48 (/ 1/4 (* b b))) (/ 1/2 (* b (* b b)))))) (*.f64 #s(literal 1/48 binary64) (*.f64 b (*.f64 b b))))))) (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) #s(literal 1 binary64)))))
(if (<=.f64 a #s(literal -250000 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b (+ (* 1/48 (* b b)) -1/4)) 1/2) #s(approx (* b (* (* b b) (+ (- 1/48 (/ 1/4 (* b b))) (/ 1/2 (* b (* b b)))))) (*.f64 #s(literal 1/48 binary64) (*.f64 b (*.f64 b b))))))) (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))))
(if (<=.f64 a #s(literal -250000 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b (+ (* 1/48 (* b b)) -1/4)) 1/2) #s(approx (* b (* (* b b) (+ (- 1/48 (/ 1/4 (* b b))) (/ 1/2 (* b (* b b)))))) (*.f64 #s(literal 1/48 binary64) (*.f64 b (*.f64 b b))))))) (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) #s(approx (exp (neg a)) (-.f64 #s(literal 1 binary64) a))))))
(if (<=.f64 a #s(literal -250000 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b (+ (* 1/48 (* b b)) -1/4)) 1/2) #s(approx (* b (* (* b b) (+ (- 1/48 (/ 1/4 (* b b))) (/ 1/2 (* b (* b b)))))) (*.f64 #s(literal 1/48 binary64) (*.f64 b (*.f64 b b))))))) (/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) #s(approx (+ 1 (exp (neg a))) (-.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))

soundness1.4s (16%)

Memory
38.6MiB live, 1 374.9MiB allocated
Rules
18 438×lower-fma.f64
18 438×lower-fma.f32
11 804×lower-fma.f64
11 804×lower-fma.f32
11 384×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05106435
115125898
244925727
086795408
03244862
19244278
227244173
081594012
037167
065169
1229162
21608155
08810155
03585317
110194572
229254445
082424254
0617
01017
13217
220317
3193617
0863117
0120740
1332725
2963708
33702677
08342640
Stop Event
1×fuel
1×iter limit
1×node limit
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×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 855 to 434 computations (49.2% saved)

preprocess87.0ms (1%)

Memory
17.0MiB live, 206.9MiB allocated
Compiler

Compiled 660 to 172 computations (73.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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