Quotient of sum of exps

Time bar (total: 8.0s)

analyze6.0ms (0.1%)

Memory
-32.9MiB live, 6.4MiB allocated
Algorithm
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)

sample1.1s (13.4%)

Memory
57.8MiB live, 1 422.9MiB allocated
Samples
478.0ms8 256×0valid
191.0ms2 970×0exit
Precisions
Click to see histograms. Total time spent on operations: 397.0ms
ival-exp: 201.0ms (50.7% of total)
ival-div: 102.0ms (25.7% of total)
ival-add: 80.0ms (20.2% of total)
ival-true: 8.0ms (2% of total)
ival-assert: 5.0ms (1.3% of total)
Bogosity

preprocess86.0ms (1.1%)

Memory
-0.4MiB live, 37.7MiB allocated
Algorithm
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
iter limit
saturated
iter limit
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)))

explain85.0ms (1.1%)

Memory
-28.6MiB live, 144.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
30-0-(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
00-0-(+.f64 (exp.f64 a) (exp.f64 b))
00-0-a
00-0-(exp.f64 b)
00-0-b
00-0-(exp.f64 a)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))u/u20
(exp.f64 a)underflow56
(+.f64 (exp.f64 a) (exp.f64 b))underflow2
(exp.f64 a)underflow56
(exp.f64 b)underflow49
/.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))overflow72
(exp.f64 a)overflow1
(exp.f64 b)overflow71
Confusion
Predicted +Predicted -
+30
-0253
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+300
-00253
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0253
13
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
28.0ms512×0valid
Compiler

Compiled 62 to 28 computations (54.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-exp: 8.0ms (55.2% of total)
ival-div: 4.0ms (27.6% of total)
ival-add: 3.0ms (20.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.8%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 10 to 6 computations (40% saved)

simplify4.0ms (0%)

Memory
8.0MiB live, 8.0MiB allocated
Algorithm
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
lift-exp.f64
lower-+.f32
lower-exp.f32
lift-+.f64
lift-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0619
01019
11119
01119
Stop Event
iter limit
saturated
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

localize23.0ms (0.3%)

Memory
-0.4MiB live, 40.6MiB 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))
accuracy98.8%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Samples
16.0ms256×0valid
Compiler

Compiled 21 to 8 computations (61.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-exp: 4.0ms (56.5% of total)
ival-div: 2.0ms (28.3% of total)
ival-add: 1.0ms (14.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
7.7MiB live, 7.7MiB 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
b
@-inf
(/ (exp a) (+ (exp a) (exp b)))

simplify483.0ms (6%)

Memory
31.1MiB live, 803.7MiB allocated
Algorithm
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
iter limit
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)

rewrite301.0ms (3.7%)

Memory
4.2MiB live, 523.3MiB allocated
Algorithm
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
iter limit
node limit
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))))
(/.f64 (*.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 (+.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))))))
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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))

eval42.0ms (0.5%)

Memory
5.0MiB live, 81.1MiB allocated
Compiler

Compiled 11 132 to 1 164 computations (89.5% saved)

prune49.0ms (0.6%)

Memory
-19.5MiB live, 99.6MiB allocated
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New4076413
Fresh000
Picked101
Done000
Total4086414
Accuracy
99.7%
Counts
414 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
61.6%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
98.8%
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))))
98.8%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 a))
98.8%
(exp.f64 (fma.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64) a))
83.9%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
59.4%
#s(approx (/ (exp a) (+ (exp a) (exp 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)))))
Compiler

Compiled 144 to 100 computations (30.6% saved)

simplify21.0ms (0.3%)

Memory
30.8MiB live, 30.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 (exp.f64 a) (exp.f64 b))
cost-diff1408
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))))
cost-diff6400
(exp.f64 b)
cost-diff11840
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a)))
cost-diff0
(+.f64 (exp.f64 a) (exp.f64 b))
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))
cost-diff6400
(exp.f64 b)
cost-diff13120
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 a))
cost-diff0
(+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))
cost-diff0
(exp.f64 a)
cost-diff12800
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
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-diff6400
(exp.f64 b)
cost-diff0
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
cost-diff192
(fma.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64) a)
cost-diff6400
(exp.f64 b)
cost-diff18688
(exp.f64 (fma.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64) a))
Rules
164×lower-fma.f32
162×lower-fma.f64
140×lower-*.f32
136×lower-*.f64
80×lower-pow.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
026144
047147
163147
292134
3144133
4211133
5308133
6379133
7443133
8483133
9500133
10502133
0502133
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(exp.f64 (fma.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64) a))
(fma.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64) a)
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(+.f64 (exp.f64 a) (exp.f64 b))
(exp.f64 a)
a
(exp.f64 b)
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))))
(/.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 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 a))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))
#s(literal 1 binary64)
(+.f64 (exp.f64 a) (exp.f64 b))
(exp.f64 a)
a
(exp.f64 b)
b
(/.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)
Outputs
(exp.f64 (fma.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64) a))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(literal 1 binary64))))
(fma.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64) a)
(-.f64 a (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(+.f64 (exp.f64 a) (exp.f64 b))
(+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))
(exp.f64 a)
a
(exp.f64 b)
#s(approx (exp b) #s(literal 1 binary64))
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))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp.f64 b)
#s(approx (exp b) #s(literal 1 binary64))
b
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #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 (/.f64 #s(literal 1 binary64) (+.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(approx (exp b) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
#s(literal 1 binary64)
(+.f64 (exp.f64 a) (exp.f64 b))
(+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))
(exp.f64 a)
a
(exp.f64 b)
#s(approx (exp b) #s(literal 1 binary64))
b
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(literal 1 binary64)
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(+.f64 (exp.f64 a) (exp.f64 b))
(+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))
(exp.f64 a)
a
(exp.f64 b)
#s(approx (exp b) #s(literal 1 binary64))
b
(exp.f64 (neg.f64 a))
(neg.f64 a)

localize205.0ms (2.6%)

Memory
-50.7MiB live, 250.4MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
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))))
accuracy98.8%
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a)))
accuracy100.0%
(exp.f64 a)
accuracy100.0%
(+.f64 (exp.f64 a) (exp.f64 b))
accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))
accuracy98.8%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 a))
accuracy100.0%
(exp.f64 a)
accuracy100.0%
(+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))
accuracy98.8%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #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)))
accuracy100.0%
(fma.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64) a)
accuracy100.0%
(+.f64 (exp.f64 a) (exp.f64 b))
accuracy100.0%
(exp.f64 (fma.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64) a))
accuracy68.0%
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Samples
57.0ms33×2valid
43.0ms56×4exit
28.0ms54×1valid
17.0ms98×0valid
13.0ms15×5exit
Compiler

Compiled 148 to 22 computations (85.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 127.0ms
ival-log: 44.0ms (34.7% of total)
ival-mult: 24.0ms (18.9% of total)
ival-exp: 22.0ms (17.4% of total)
ival-div: 14.0ms (11% of total)
adjust: 12.0ms (9.5% of total)
ival-add: 8.0ms (6.3% of total)
exact: 1.0ms (0.8% of total)
ival-neg: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series133.0ms (1.7%)

Memory
5.9MiB live, 196.2MiB allocated
Counts
14 → 288
Calls
Call 1
Inputs
#<alt (exp.f64 (fma.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64) a))>
#<alt (exp.f64 b)>
#<alt (fma.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64) a)>
#<alt (log.f64 (+.f64 (exp.f64 a) (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 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))>
#<alt (exp.f64 a)>
#<alt (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 a))>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))>
#<alt (+.f64 (exp.f64 a) (exp.f64 b))>
#<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))))>
Outputs
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (+ (/ 1 (+ 1 (exp b))) (/ (* a (- 1 (/ 1 (+ 1 (exp b))))) (+ 1 (exp b))))>
#<alt (+ (* a (- (+ (/ 1 (+ 1 (exp b))) (/ (* a (+ (* -1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (* 1/2 (pow (- 1 (/ 1 (+ 1 (exp b)))) 2)))) (+ 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)) 2))) (+ 1 (exp b)))) (+ (* 1/2 (/ (pow (- 1 (/ 1 (+ 1 (exp b)))) 2) (+ 1 (exp b)))) (/ (* a (+ (* -1/2 (* (- 1 (/ 1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (+ (* -1/6 (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2))))) (* 1/6 (pow (- 1 (/ 1 (+ 1 (exp b)))) 3))))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (exp (+ a (* -1 (log (+ (exp a) (exp b))))))>
#<alt (exp (+ a (* -1 (log (+ (exp a) (exp b))))))>
#<alt (exp (+ a (* -1 (log (+ (exp a) (exp b))))))>
#<alt (exp (+ a (* -1 (log (+ (exp a) (exp b))))))>
#<alt (exp (- (* -1 (log (+ (exp a) (exp b)))) (* -1 a)))>
#<alt (exp (- (* -1 (log (+ (exp a) (exp b)))) (* -1 a)))>
#<alt (exp (- (* -1 (log (+ (exp a) (exp b)))) (* -1 a)))>
#<alt (exp (- (* -1 (log (+ (exp a) (exp b)))) (* -1 a)))>
#<alt (exp (+ a (* -1 (log (+ 1 (exp a))))))>
#<alt (+ (exp (+ a (* -1 (log (+ 1 (exp a)))))) (* -1 (/ (* b (exp (+ a (* -1 (log (+ 1 (exp a))))))) (+ 1 (exp a)))))>
#<alt (+ (exp (+ a (* -1 (log (+ 1 (exp a)))))) (* b (+ (* -1 (/ (exp (+ a (* -1 (log (+ 1 (exp a)))))) (+ 1 (exp a)))) (* b (* (exp (+ a (* -1 (log (+ 1 (exp a)))))) (+ (* -1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))))))>
#<alt (+ (exp (+ a (* -1 (log (+ 1 (exp a)))))) (* b (+ (* -1 (/ (exp (+ a (* -1 (log (+ 1 (exp a)))))) (+ 1 (exp a)))) (* b (+ (* b (* (exp (+ a (* -1 (log (+ 1 (exp a)))))) (- (+ (* -1/6 (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2))))) (* 1/2 (/ (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))) (+ 1 (exp a))))) (* 1/6 (/ 1 (pow (+ 1 (exp a)) 3)))))) (* (exp (+ a (* -1 (log (+ 1 (exp a)))))) (+ (* -1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))))))))>
#<alt (exp (+ a (* -1 (log (+ (exp a) (exp b))))))>
#<alt (exp (+ a (* -1 (log (+ (exp a) (exp b))))))>
#<alt (exp (+ a (* -1 (log (+ (exp a) (exp b))))))>
#<alt (exp (+ a (* -1 (log (+ (exp a) (exp b))))))>
#<alt (exp (+ a (* -1 (log (+ (exp a) (exp b))))))>
#<alt (exp (+ a (* -1 (log (+ (exp a) (exp b))))))>
#<alt (exp (+ a (* -1 (log (+ (exp a) (exp b))))))>
#<alt (exp (+ a (* -1 (log (+ (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)>
#<alt (* -1 (log (+ 1 (exp b))))>
#<alt (+ (* -1 (log (+ 1 (exp b)))) (* a (- 1 (/ 1 (+ 1 (exp b))))))>
#<alt (+ (* -1 (log (+ 1 (exp b)))) (* a (- (+ 1 (* -1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))>
#<alt (+ (* -1 (log (+ 1 (exp b)))) (* a (- (+ 1 (* a (+ (* -1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (* -1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2))))))))) (/ 1 (+ 1 (exp b))))))>
#<alt a>
#<alt (* a (+ 1 (* -1 (/ (log (+ (exp a) (exp b))) a))))>
#<alt (* a (+ 1 (* -1 (/ (log (+ (exp a) (exp b))) a))))>
#<alt (* a (+ 1 (* -1 (/ (log (+ (exp a) (exp b))) a))))>
#<alt a>
#<alt (* -1 (* a (- (/ (log (+ (exp a) (exp b))) a) 1)))>
#<alt (* -1 (* a (- (/ (log (+ (exp a) (exp b))) a) 1)))>
#<alt (* -1 (* a (- (/ (log (+ (exp a) (exp b))) a) 1)))>
#<alt (+ a (* -1 (log (+ 1 (exp a)))))>
#<alt (+ a (+ (* -1 (log (+ 1 (exp a)))) (* -1 (/ b (+ 1 (exp a))))))>
#<alt (+ a (+ (* -1 (log (+ 1 (exp a)))) (* b (- (* -1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))))>
#<alt (+ a (+ (* -1 (log (+ 1 (exp a)))) (* b (- (* b (+ (* -1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (* -1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))))) (/ 1 (+ 1 (exp a)))))))>
#<alt (+ a (* -1 (log (+ (exp a) (exp b)))))>
#<alt (+ a (* -1 (log (+ (exp a) (exp b)))))>
#<alt (+ a (* -1 (log (+ (exp a) (exp b)))))>
#<alt (+ a (* -1 (log (+ (exp a) (exp b)))))>
#<alt (+ a (* -1 (log (+ (exp a) (exp b)))))>
#<alt (+ a (* -1 (log (+ (exp a) (exp b)))))>
#<alt (+ a (* -1 (log (+ (exp a) (exp b)))))>
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#<alt (/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))>
Calls

72 calls:

TimeVariablePointExpression
33.0ms
b
@inf
(exp (+ (* (log (+ (exp a) (exp b))) -1) a))
32.0ms
a
@-inf
(log (+ (exp a) (exp b)))
24.0ms
b
@-inf
(exp (+ (* (log (+ (exp a) (exp b))) -1) a))
18.0ms
a
@inf
(log (+ (exp a) (exp b)))
3.0ms
a
@inf
(+ (* (log (+ (exp a) (exp b))) -1) a)

simplify371.0ms (4.6%)

Memory
14.2MiB live, 486.9MiB allocated
Algorithm
egg-herbie
Rules
8 754×lower-fma.f64
8 754×lower-fma.f32
4 998×lower-+.f64
4 998×lower-+.f32
4 326×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04234243
112323964
236723746
086503549
Stop Event
iter limit
node limit
Counts
288 → 286
Calls
Call 1
Inputs
(/ 1 (+ 1 (exp b)))
(+ (/ 1 (+ 1 (exp b))) (/ (* a (- 1 (/ 1 (+ 1 (exp b))))) (+ 1 (exp b))))
(+ (* a (- (+ (/ 1 (+ 1 (exp b))) (/ (* a (+ (* -1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (* 1/2 (pow (- 1 (/ 1 (+ 1 (exp b)))) 2)))) (+ 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)) 2))) (+ 1 (exp b)))) (+ (* 1/2 (/ (pow (- 1 (/ 1 (+ 1 (exp b)))) 2) (+ 1 (exp b)))) (/ (* a (+ (* -1/2 (* (- 1 (/ 1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (+ (* -1/6 (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2))))) (* 1/6 (pow (- 1 (/ 1 (+ 1 (exp b)))) 3))))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(exp (- (* -1 (log (+ (exp a) (exp b)))) (* -1 a)))
(exp (- (* -1 (log (+ (exp a) (exp b)))) (* -1 a)))
(exp (- (* -1 (log (+ (exp a) (exp b)))) (* -1 a)))
(exp (- (* -1 (log (+ (exp a) (exp b)))) (* -1 a)))
(exp (+ a (* -1 (log (+ 1 (exp a))))))
(+ (exp (+ a (* -1 (log (+ 1 (exp a)))))) (* -1 (/ (* b (exp (+ a (* -1 (log (+ 1 (exp a))))))) (+ 1 (exp a)))))
(+ (exp (+ a (* -1 (log (+ 1 (exp a)))))) (* b (+ (* -1 (/ (exp (+ a (* -1 (log (+ 1 (exp a)))))) (+ 1 (exp a)))) (* b (* (exp (+ a (* -1 (log (+ 1 (exp a)))))) (+ (* -1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))))))
(+ (exp (+ a (* -1 (log (+ 1 (exp a)))))) (* b (+ (* -1 (/ (exp (+ a (* -1 (log (+ 1 (exp a)))))) (+ 1 (exp a)))) (* b (+ (* b (* (exp (+ a (* -1 (log (+ 1 (exp a)))))) (- (+ (* -1/6 (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2))))) (* 1/2 (/ (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))) (+ 1 (exp a))))) (* 1/6 (/ 1 (pow (+ 1 (exp a)) 3)))))) (* (exp (+ a (* -1 (log (+ 1 (exp a)))))) (+ (* -1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))))))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(exp (+ a (* -1 (log (+ (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 (log (+ 1 (exp b))))
(+ (* -1 (log (+ 1 (exp b)))) (* a (- 1 (/ 1 (+ 1 (exp b))))))
(+ (* -1 (log (+ 1 (exp b)))) (* a (- (+ 1 (* -1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))
(+ (* -1 (log (+ 1 (exp b)))) (* a (- (+ 1 (* a (+ (* -1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (* -1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2))))))))) (/ 1 (+ 1 (exp b))))))
a
(* a (+ 1 (* -1 (/ (log (+ (exp a) (exp b))) a))))
(* a (+ 1 (* -1 (/ (log (+ (exp a) (exp b))) a))))
(* a (+ 1 (* -1 (/ (log (+ (exp a) (exp b))) a))))
a
(* -1 (* a (- (/ (log (+ (exp a) (exp b))) a) 1)))
(* -1 (* a (- (/ (log (+ (exp a) (exp b))) a) 1)))
(* -1 (* a (- (/ (log (+ (exp a) (exp b))) a) 1)))
(+ a (* -1 (log (+ 1 (exp a)))))
(+ a (+ (* -1 (log (+ 1 (exp a)))) (* -1 (/ b (+ 1 (exp a))))))
(+ a (+ (* -1 (log (+ 1 (exp a)))) (* b (- (* -1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))))
(+ a (+ (* -1 (log (+ 1 (exp a)))) (* b (- (* b (+ (* -1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (* -1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))))) (/ 1 (+ 1 (exp a)))))))
(+ a (* -1 (log (+ (exp a) (exp b)))))
(+ a (* -1 (log (+ (exp a) (exp b)))))
(+ a (* -1 (log (+ (exp a) (exp b)))))
(+ a (* -1 (log (+ (exp a) (exp b)))))
(+ a (* -1 (log (+ (exp a) (exp b)))))
(+ a (* -1 (log (+ (exp a) (exp b)))))
(+ a (* -1 (log (+ (exp a) (exp b)))))
(+ a (* -1 (log (+ (exp a) (exp b)))))
(log (+ 1 (exp b)))
(+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))
(+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))
(+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ 1 (exp a)))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))
(+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (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)))
2
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (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
(+ 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 (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 (exp b)))
(+ (* -1 (/ a (pow (+ 1 (exp b)) 2))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (* a (- (/ 1 (pow (+ 1 (exp b)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (* a (- (+ (* a (- (/ 1 (pow (+ 1 (exp b)) 3)) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (/ 1 (pow (+ 1 (exp b)) 4))))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(/ 1 (+ (exp a) (exp b)))
(/ 1 (+ (exp a) (exp b)))
(/ 1 (+ (exp a) (exp b)))
(/ 1 (+ (exp a) (exp b)))
(/ 1 (+ (exp a) (exp b)))
(/ 1 (+ (exp a) (exp b)))
(/ 1 (+ (exp a) (exp b)))
(/ 1 (+ (exp a) (exp b)))
(/ 1 (+ 1 (exp a)))
(+ (* -1 (/ b (pow (+ 1 (exp a)) 2))) (/ 1 (+ 1 (exp a))))
(+ (* b (- (* b (- (/ 1 (pow (+ 1 (exp a)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (pow (+ 1 (exp a)) 2)))) (/ 1 (+ 1 (exp a))))
(+ (* b (- (* b (- (+ (* b (- (/ 1 (pow (+ 1 (exp a)) 3)) (+ (* 1/6 (/ 1 (pow (+ 1 (exp a)) 2))) (/ 1 (pow (+ 1 (exp a)) 4))))) (/ 1 (pow (+ 1 (exp a)) 3))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (pow (+ 1 (exp a)) 2)))) (/ 1 (+ 1 (exp a))))
(/ 1 (+ (exp a) (exp b)))
(/ 1 (+ (exp a) (exp b)))
(/ 1 (+ (exp a) (exp b)))
(/ 1 (+ (exp a) (exp b)))
(/ 1 (+ (exp a) (exp b)))
(/ 1 (+ (exp a) (exp b)))
(/ 1 (+ (exp a) (exp b)))
(/ 1 (+ (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 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))))
(+ (* 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))))
(/ 1 (* (exp (neg a)) (+ 1 (exp a))))
(+ (* -1 (/ b (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
(+ (* b (- (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
(+ (* b (- (* b (- (+ (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (+ (* 1/6 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 4)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3)))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
(/ 1 (* (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 (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))))
Outputs
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ (/ 1 (+ 1 (exp b))) (/ (* a (- 1 (/ 1 (+ 1 (exp b))))) (+ 1 (exp b))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 (+.f64 a (/.f64 a (-.f64 #s(literal -1 binary64) (exp.f64 b)))) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(+ (* a (- (+ (/ 1 (+ 1 (exp b))) (/ (* a (+ (* -1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (* 1/2 (pow (- 1 (/ 1 (+ 1 (exp b)))) 2)))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 a (fma.f64 a (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (/.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)) 2))) (+ 1 (exp b)))) (+ (* 1/2 (/ (pow (- 1 (/ 1 (+ 1 (exp b)))) 2) (+ 1 (exp b)))) (/ (* a (+ (* -1/2 (* (- 1 (/ 1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (+ (* -1/6 (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2))))) (* 1/6 (pow (- 1 (/ 1 (+ 1 (exp b)))) 3))))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 a (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) #s(literal 3 binary64)) (fma.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 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 a (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 #s(literal 1 binary64) (exp.f64 b))))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(exp (- (* -1 (log (+ (exp a) (exp b)))) (* -1 a)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(exp (- (* -1 (log (+ (exp a) (exp b)))) (* -1 a)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(exp (- (* -1 (log (+ (exp a) (exp b)))) (* -1 a)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(exp (- (* -1 (log (+ (exp a) (exp b)))) (* -1 a)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(exp (+ a (* -1 (log (+ 1 (exp a))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
(+ (exp (+ a (* -1 (log (+ 1 (exp a)))))) (* -1 (/ (* b (exp (+ a (* -1 (log (+ 1 (exp 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))))))
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1
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a
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a
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1/2
#s(literal 1/2 binary64)
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2
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(/.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))))

rewrite372.0ms (4.6%)

Memory
16.1MiB live, 567.0MiB allocated
Algorithm
batch-egg-rewrite
Rules
3 690×lower-fma.f32
3 688×lower-fma.f64
3 636×lower-*.f32
3 632×lower-*.f64
2 700×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02294
04195
111586
264884
3580284
0823882
Stop Event
iter limit
node limit
iter limit
Counts
14 → 1 179
Calls
Call 1
Inputs
(exp.f64 (fma.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64) a))
(exp.f64 b)
(fma.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64) a)
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(exp.f64 a)
(+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 a))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))
(+.f64 (exp.f64 a) (exp.f64 b))
(*.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))))
Outputs
(+.f64 (*.f64 (/.f64 (exp.f64 a) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (exp.f64 (+.f64 a a))) (*.f64 (/.f64 (exp.f64 a) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) (-.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a)))))
(+.f64 (*.f64 (/.f64 (exp.f64 a) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) (-.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a)))) (*.f64 (/.f64 (exp.f64 a) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (exp.f64 (+.f64 a a))))
(+.f64 (*.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))) (exp.f64 a)) (*.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))) (neg.f64 #s(approx (exp b) #s(literal 1 binary64)))))
(+.f64 (*.f64 (exp.f64 (+.f64 a a)) (/.f64 (exp.f64 a) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (exp.f64 (*.f64 a #s(literal 3 binary64)))))) (*.f64 (*.f64 #s(approx (exp b) #s(literal 1 binary64)) (-.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a))) (/.f64 (exp.f64 a) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (exp.f64 (*.f64 a #s(literal 3 binary64)))))))
(+.f64 (*.f64 (*.f64 #s(approx (exp b) #s(literal 1 binary64)) (-.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a))) (/.f64 (exp.f64 a) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (exp.f64 (*.f64 a #s(literal 3 binary64)))))) (*.f64 (exp.f64 (+.f64 a a)) (/.f64 (exp.f64 a) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (exp.f64 (*.f64 a #s(literal 3 binary64)))))))
(+.f64 (*.f64 (exp.f64 a) (/.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))))) (*.f64 (neg.f64 #s(approx (exp b) #s(literal 1 binary64))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))))))
(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (log1p.f64 (exp.f64 (+.f64 b (neg.f64 a))))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (fma.f64 a (*.f64 a a) (pow.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) (-.f64 (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) (neg.f64 a)) (*.f64 a a)))))
(exp.f64 (*.f64 (log.f64 (exp.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) #s(literal 2 binary64)) (*.f64 a a)))) (/.f64 #s(literal -1 binary64) (+.f64 (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) a))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 (neg.f64 a)) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 (neg.f64 (exp.f64 a)) #s(approx (exp b) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 (neg.f64 a)) #s(literal 1 binary64))))
(fma.f64 (exp.f64 a) (/.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))) (*.f64 (neg.f64 #s(approx (exp b) #s(literal 1 binary64))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))))))
(fma.f64 (exp.f64 (+.f64 a a)) (/.f64 (exp.f64 a) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (*.f64 (*.f64 #s(approx (exp b) #s(literal 1 binary64)) (-.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a))) (/.f64 (exp.f64 a) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (exp.f64 (*.f64 a #s(literal 3 binary64)))))))
(fma.f64 (*.f64 #s(approx (exp b) #s(literal 1 binary64)) (-.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a))) (/.f64 (exp.f64 a) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (*.f64 (exp.f64 (+.f64 a a)) (/.f64 (exp.f64 a) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (exp.f64 (*.f64 a #s(literal 3 binary64)))))))
(fma.f64 (/.f64 (exp.f64 a) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (exp.f64 (+.f64 a a)) (*.f64 (/.f64 (exp.f64 a) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) (-.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a)))))
(fma.f64 (/.f64 (exp.f64 a) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) (-.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a))) (*.f64 (/.f64 (exp.f64 a) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (exp.f64 (+.f64 a a))))
(fma.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))) (exp.f64 a) (*.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))) (neg.f64 #s(approx (exp b) #s(literal 1 binary64)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 (neg.f64 a)) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (+.f64 b (neg.f64 a)))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) (exp.f64 (neg.f64 a)))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 (neg.f64 a)) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 (neg.f64 (exp.f64 a)) (-.f64 (neg.f64 (exp.f64 a)) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 (*.f64 (exp.f64 a) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (-.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a)) (exp.f64 (+.f64 a a)))) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (exp.f64 (*.f64 a #s(literal 3 binary64)))))
(/.f64 (*.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) (-.f64 (exp.f64 (+.f64 a a)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))))
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) (neg.f64 (exp.f64 (neg.f64 a))))
(/.f64 (/.f64 (exp.f64 a) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (-.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a)) (exp.f64 (+.f64 a a)))))
(/.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))))
(/.f64 (exp.f64 (/.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) #s(literal 2 binary64)) (-.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))) a))) (exp.f64 (/.f64 (*.f64 a a) (-.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))) a))))
(/.f64 (*.f64 (exp.f64 a) (-.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))))) (*.f64 (-.f64 (exp.f64 (+.f64 a a)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))) (exp.f64 (+.f64 a a)))))
(/.f64 (*.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 6 binary64))) (pow.f64 (*.f64 #s(approx (exp b) #s(literal 1 binary64)) (-.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a))) #s(literal 3 binary64)))) (*.f64 (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(approx (exp b) #s(literal 1 binary64)) (-.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a))) (-.f64 (*.f64 #s(approx (exp b) #s(literal 1 binary64)) (-.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a))) (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 4 binary64))) (pow.f64 (*.f64 #s(approx (exp b) #s(literal 1 binary64)) (-.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a))) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (-.f64 (exp.f64 (+.f64 a a)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) (-.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a))))))
(/.f64 (*.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))) (*.f64 (-.f64 (exp.f64 (+.f64 a a)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))))
(/.f64 (*.f64 (/.f64 (exp.f64 a) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (+.f64 (exp.f64 (*.f64 a #s(literal 6 binary64))) (pow.f64 (*.f64 #s(approx (exp b) #s(literal 1 binary64)) (-.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a))) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(approx (exp b) #s(literal 1 binary64)) (-.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a))) (-.f64 (*.f64 #s(approx (exp b) #s(literal 1 binary64)) (-.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a))) (exp.f64 (+.f64 a a))) (exp.f64 (*.f64 a #s(literal 4 binary64)))))
(/.f64 (*.f64 (/.f64 (exp.f64 a) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (-.f64 (exp.f64 (*.f64 a #s(literal 4 binary64))) (pow.f64 (*.f64 #s(approx (exp b) #s(literal 1 binary64)) (-.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a))) #s(literal 2 binary64)))) (-.f64 (exp.f64 (+.f64 a a)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) (-.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a)))))
(/.f64 (*.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))) (-.f64 (exp.f64 (+.f64 a a)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 (*.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))) (-.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))))) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))) (exp.f64 (+.f64 a a))))
(/.f64 (/.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 a))) (-.f64 (neg.f64 (exp.f64 a)) #s(approx (exp b) #s(literal 1 binary64))))
(pow.f64 (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log1p.f64 (exp.f64 (+.f64 b (neg.f64 a)))))
(pow.f64 (pow.f64 (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 (neg.f64 a)) #s(literal 1 binary64))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (fma.f64 a (*.f64 a a) (pow.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) (-.f64 (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) (neg.f64 a)) (*.f64 a a))))
(pow.f64 (exp.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) #s(literal 2 binary64)) (*.f64 a a))) (/.f64 #s(literal -1 binary64) (+.f64 (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) a)))
(*.f64 (exp.f64 a) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 (neg.f64 a)) #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 (neg.f64 a)) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) (exp.f64 a))
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(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 a a)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))) #s(literal 1 binary64)) (/.f64 (-.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))) (exp.f64 (neg.f64 a))))
(*.f64 (*.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))) #s(literal -1/2 binary64))) (pow.f64 (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (pow.f64 (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (neg.f64 (exp.f64 a)) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (neg.f64 (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (-.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a)) (exp.f64 (+.f64 a a)))))
(*.f64 (/.f64 (neg.f64 (exp.f64 a)) (-.f64 (exp.f64 (+.f64 a a)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))) (neg.f64 (-.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))))
(*.f64 (/.f64 (exp.f64 a) (neg.f64 (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (exp.f64 (*.f64 a #s(literal 3 binary64)))))) (neg.f64 (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (-.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a)) (exp.f64 (+.f64 a a)))))
(*.f64 (/.f64 (exp.f64 a) (neg.f64 (-.f64 (exp.f64 (+.f64 a a)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))))) (neg.f64 (-.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))))
(*.f64 (/.f64 (exp.f64 a) (-.f64 (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (exp.f64 (+.f64 a a)))) (-.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) #s(literal -1 binary64)) (neg.f64 (exp.f64 a)))

eval491.0ms (6.1%)

Memory
-27.6MiB live, 460.1MiB allocated
Compiler

Compiled 35 887 to 3 263 computations (90.9% saved)

prune162.0ms (2%)

Memory
-36.3MiB live, 365.2MiB allocated
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1 71141 715
Fresh101
Picked415
Done000
Total1 71651 721
Accuracy
100.0%
Counts
1 721 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
60.6%
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
62.0%
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
61.6%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) (exp.f64 a))
83.9%
(exp.f64 #s(approx (+ (* (log (+ (exp a) (exp b))) -1) a) (neg.f64 (log1p.f64 (exp.f64 b)))))
83.9%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
Compiler

Compiled 43 to 32 computations (25.6% saved)

simplify24.0ms (0.3%)

Memory
6.7MiB live, 45.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))
cost-diff0
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
cost-diff6400
(exp.f64 a)
cost-diff0
(neg.f64 a)
cost-diff0
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
cost-diff704
(/.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-diff5824
(exp.f64 (neg.f64 a))
cost-diff0
(+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) (exp.f64 a))
cost-diff6400
(exp.f64 a)
cost-diff0
(log1p.f64 (exp.f64 b))
cost-diff0
(neg.f64 (log1p.f64 (exp.f64 b)))
cost-diff6400
(exp.f64 b)
cost-diff12032
(exp.f64 #s(approx (+ (* (log (+ (exp a) (exp b))) -1) a) (neg.f64 (log1p.f64 (exp.f64 b)))))
Rules
172×lower-fma.f64
172×lower-fma.f32
148×lower-*.f32
146×lower-*.f64
80×lower-pow.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
031112
054116
173111
2104100
315899
422799
533099
640299
746699
850699
952399
1052599
052599
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(exp.f64 #s(approx (+ (* (log (+ (exp a) (exp b))) -1) a) (neg.f64 (log1p.f64 (exp.f64 b)))))
#s(approx (+ (* (log (+ (exp a) (exp b))) -1) a) (neg.f64 (log1p.f64 (exp.f64 b))))
(neg.f64 (log1p.f64 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(exp.f64 b)
b
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) (exp.f64 a))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
#s(literal 1 binary64)
(+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))
(exp.f64 a)
a
#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)))))
#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
(/.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
(exp.f64 #s(approx (+ (* (log (+ (exp a) (exp b))) -1) a) (neg.f64 (log1p.f64 (exp.f64 b)))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (+ (* (log (+ (exp a) (exp b))) -1) a) (neg.f64 (log1p.f64 (exp.f64 b))))
#s(approx (+ (* (log (+ (exp a) (exp b))) -1) a) (neg.f64 (log1p.f64 #s(approx (exp b) #s(literal 1 binary64)))))
(neg.f64 (log1p.f64 (exp.f64 b)))
(neg.f64 (log1p.f64 #s(approx (exp b) #s(literal 1 binary64))))
(log1p.f64 (exp.f64 b))
(log1p.f64 #s(approx (exp b) #s(literal 1 binary64)))
(exp.f64 b)
#s(approx (exp b) #s(literal 1 binary64))
b
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) (exp.f64 a))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(literal 1 binary64)
(+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))
(exp.f64 a)
#s(approx (exp a) #s(literal 1 binary64))
a
#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(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#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) (/.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (exp a) #s(literal 1 binary64))))
(exp.f64 (neg.f64 a))
(/.f64 #s(literal 1 binary64) #s(approx (exp a) #s(literal 1 binary64)))
(neg.f64 a)
a
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
(exp.f64 a)
#s(approx (exp 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(literal 1 binary64)
#s(approx (exp b) #s(literal 1 binary64))

localize224.0ms (2.8%)

Memory
33.4MiB live, 149.4MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(exp.f64 a)
accuracy100.0%
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))
accuracy98.8%
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
accuracy100.0%
(neg.f64 a)
accuracy100.0%
(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)))))
accuracy100.0%
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
accuracy100.0%
(exp.f64 a)
accuracy100.0%
(+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))
accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
accuracy98.8%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) (exp.f64 a))
accuracy100.0%
(neg.f64 (log1p.f64 (exp.f64 b)))
accuracy100.0%
(exp.f64 b)
accuracy100.0%
(log1p.f64 (exp.f64 b))
accuracy100.0%
(exp.f64 #s(approx (+ (* (log (+ (exp a) (exp b))) -1) a) (neg.f64 (log1p.f64 (exp.f64 b)))))
Samples
23.0ms135×0valid
18.0ms32×1valid
16.0ms71×1exit
13.0ms18×2valid
Compiler

Compiled 118 to 23 computations (80.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
ival-exp: 14.0ms (26.5% of total)
ival-log: 12.0ms (22.7% of total)
adjust: 6.0ms (11.3% of total)
ival-div: 6.0ms (11.3% of total)
ival-mult: 5.0ms (9.5% of total)
ival-add: 5.0ms (9.5% of total)
ival-log1p: 3.0ms (5.7% of total)
ival-neg: 2.0ms (3.8% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series40.0ms (0.5%)

Memory
-22.2MiB live, 53.0MiB allocated
Counts
14 → 252
Calls
Call 1
Inputs
#<alt (exp.f64 #s(approx (+ (* (log (+ (exp a) (exp b))) -1) a) (neg.f64 (log1p.f64 (exp.f64 b)))))>
#<alt (exp.f64 b)>
#<alt (neg.f64 (log1p.f64 (exp.f64 b)))>
#<alt (log1p.f64 (exp.f64 b))>
#<alt (exp.f64 a)>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) (exp.f64 a))>
#<alt (/.f64 #s(literal 1 binary64) (+.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 (exp.f64 (neg.f64 a))>
#<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 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))>
#<alt (neg.f64 a)>
#<alt (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))>
#<alt (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))>
Outputs
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (+ (/ 1 (+ 1 (exp b))) (/ (* a (- 1 (/ 1 (+ 1 (exp b))))) (+ 1 (exp b))))>
#<alt (+ (* a (- (+ (/ 1 (+ 1 (exp b))) (/ (* a (+ (* -1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (* 1/2 (pow (- 1 (/ 1 (+ 1 (exp b)))) 2)))) (+ 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)) 2))) (+ 1 (exp b)))) (+ (* 1/2 (/ (pow (- 1 (/ 1 (+ 1 (exp b)))) 2) (+ 1 (exp b)))) (/ (* a (+ (* -1/2 (* (- 1 (/ 1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (+ (* -1/6 (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2))))) (* 1/6 (pow (- 1 (/ 1 (+ 1 (exp b)))) 3))))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (exp (+ a (* -1 (log (+ (exp a) (exp b))))))>
#<alt (exp (+ a (* -1 (log (+ (exp a) (exp b))))))>
#<alt (exp (+ a (* -1 (log (+ (exp a) (exp b))))))>
#<alt (exp (+ a (* -1 (log (+ (exp a) (exp b))))))>
#<alt (exp (- (* -1 (log (+ (exp a) (exp b)))) (* -1 a)))>
#<alt (exp (- (* -1 (log (+ (exp a) (exp b)))) (* -1 a)))>
#<alt (exp (- (* -1 (log (+ (exp a) (exp b)))) (* -1 a)))>
#<alt (exp (- (* -1 (log (+ (exp a) (exp b)))) (* -1 a)))>
#<alt (exp (+ a (* -1 (log (+ 1 (exp a))))))>
#<alt (+ (exp (+ a (* -1 (log (+ 1 (exp a)))))) (* -1 (/ (* b (exp (+ a (* -1 (log (+ 1 (exp a))))))) (+ 1 (exp a)))))>
#<alt (+ (exp (+ a (* -1 (log (+ 1 (exp a)))))) (* b (+ (* -1 (/ (exp (+ a (* -1 (log (+ 1 (exp a)))))) (+ 1 (exp a)))) (* b (* (exp (+ a (* -1 (log (+ 1 (exp a)))))) (+ (* -1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))))))>
#<alt (+ (exp (+ a (* -1 (log (+ 1 (exp a)))))) (* b (+ (* -1 (/ (exp (+ a (* -1 (log (+ 1 (exp a)))))) (+ 1 (exp a)))) (* b (+ (* b (* (exp (+ a (* -1 (log (+ 1 (exp a)))))) (- (+ (* -1/6 (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2))))) (* 1/2 (/ (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))) (+ 1 (exp a))))) (* 1/6 (/ 1 (pow (+ 1 (exp a)) 3)))))) (* (exp (+ a (* -1 (log (+ 1 (exp a)))))) (+ (* -1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))))))))>
#<alt (exp (+ a (* -1 (log (+ (exp a) (exp b))))))>
#<alt (exp (+ a (* -1 (log (+ (exp a) (exp b))))))>
#<alt (exp (+ a (* -1 (log (+ (exp a) (exp b))))))>
#<alt (exp (+ a (* -1 (log (+ (exp a) (exp b))))))>
#<alt (exp (+ a (* -1 (log (+ (exp a) (exp b))))))>
#<alt (exp (+ a (* -1 (log (+ (exp a) (exp b))))))>
#<alt (exp (+ a (* -1 (log (+ (exp a) (exp b))))))>
#<alt (exp (+ a (* -1 (log (+ (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)>
#<alt (* -1 (log 2))>
#<alt (- (* -1/2 b) (log 2))>
#<alt (- (* b (- (* -1/8 b) 1/2)) (log 2))>
#<alt (- (* b (- (* b (- (* 1/192 (pow b 2)) 1/8)) 1/2)) (log 2))>
#<alt (* -1 (log (+ 1 (exp b))))>
#<alt (* -1 (log (+ 1 (exp b))))>
#<alt (* -1 (log (+ 1 (exp b))))>
#<alt (* -1 (log (+ 1 (exp b))))>
#<alt (* -1 (log (+ 1 (exp b))))>
#<alt (* -1 (log (+ 1 (exp b))))>
#<alt (* -1 (log (+ 1 (exp b))))>
#<alt (* -1 (log (+ 1 (exp b))))>
#<alt (log 2)>
#<alt (+ (log 2) (* 1/2 b))>
#<alt (+ (log 2) (* b (+ 1/2 (* 1/8 b))))>
#<alt (+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))))>
#<alt (log (+ 1 (exp b)))>
#<alt (log (+ 1 (exp b)))>
#<alt (log (+ 1 (exp b)))>
#<alt (log (+ 1 (exp b)))>
#<alt (log (+ 1 (exp b)))>
#<alt (log (+ 1 (exp b)))>
#<alt (log (+ 1 (exp b)))>
#<alt (log (+ 1 (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 (+ 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))))>
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#<alt (+ (exp a) (exp b))>
#<alt 1>
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#<alt (+ 1 (* a (- (* a (+ 1/2 (* -1/6 a))) 1)))>
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#<alt (* -1 a)>
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#<alt (* -1 a)>
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#<alt (+ (exp a) (exp b))>
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#<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))>
Calls

63 calls:

TimeVariablePointExpression
18.0ms
b
@-inf
(neg (log (+ 1 (exp b))))
16.0ms
b
@inf
(neg (log (+ 1 (exp b))))
1.0ms
b
@0
(log (+ 1 (exp b)))
0.0ms
b
@0
(neg (log (+ 1 (exp b))))
0.0ms
a
@inf
(neg a)

simplify405.0ms (5%)

Memory
8.4MiB live, 494.8MiB allocated
Algorithm
egg-herbie
Rules
11 446×lower-fma.f64
11 446×lower-fma.f32
6 776×lower-+.f64
6 776×lower-+.f32
4 420×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03513376
19873184
227573032
082052858
Stop Event
iter limit
node limit
Counts
252 → 252
Calls
Call 1
Inputs
(/ 1 (+ 1 (exp b)))
(+ (/ 1 (+ 1 (exp b))) (/ (* a (- 1 (/ 1 (+ 1 (exp b))))) (+ 1 (exp b))))
(+ (* a (- (+ (/ 1 (+ 1 (exp b))) (/ (* a (+ (* -1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (* 1/2 (pow (- 1 (/ 1 (+ 1 (exp b)))) 2)))) (+ 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)) 2))) (+ 1 (exp b)))) (+ (* 1/2 (/ (pow (- 1 (/ 1 (+ 1 (exp b)))) 2) (+ 1 (exp b)))) (/ (* a (+ (* -1/2 (* (- 1 (/ 1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (+ (* -1/6 (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2))))) (* 1/6 (pow (- 1 (/ 1 (+ 1 (exp b)))) 3))))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(exp (- (* -1 (log (+ (exp a) (exp b)))) (* -1 a)))
(exp (- (* -1 (log (+ (exp a) (exp b)))) (* -1 a)))
(exp (- (* -1 (log (+ (exp a) (exp b)))) (* -1 a)))
(exp (- (* -1 (log (+ (exp a) (exp b)))) (* -1 a)))
(exp (+ a (* -1 (log (+ 1 (exp a))))))
(+ (exp (+ a (* -1 (log (+ 1 (exp a)))))) (* -1 (/ (* b (exp (+ a (* -1 (log (+ 1 (exp a))))))) (+ 1 (exp a)))))
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(+ (exp (+ a (* -1 (log (+ 1 (exp a)))))) (* b (+ (* -1 (/ (exp (+ a (* -1 (log (+ 1 (exp a)))))) (+ 1 (exp a)))) (* b (+ (* b (* (exp (+ a (* -1 (log (+ 1 (exp a)))))) (- (+ (* -1/6 (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2))))) (* 1/2 (/ (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))) (+ 1 (exp a))))) (* 1/6 (/ 1 (pow (+ 1 (exp a)) 3)))))) (* (exp (+ a (* -1 (log (+ 1 (exp a)))))) (+ (* -1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))))))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
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(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
1
(+ 1 b)
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(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(exp b)
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(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(* -1 (log 2))
(- (* -1/2 b) (log 2))
(- (* b (- (* -1/8 b) 1/2)) (log 2))
(- (* b (- (* b (- (* 1/192 (pow b 2)) 1/8)) 1/2)) (log 2))
(* -1 (log (+ 1 (exp b))))
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(* -1 (log (+ 1 (exp b))))
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(* -1 (log (+ 1 (exp b))))
(log 2)
(+ (log 2) (* 1/2 b))
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1
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(exp a)
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(/ (exp a) (+ (exp a) (exp b)))
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(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
1
(+ 1 (* -1 a))
(+ 1 (* a (- (* 1/2 a) 1)))
(+ 1 (* a (- (* a (+ 1/2 (* -1/6 a))) 1)))
(exp (neg a))
(exp (neg a))
(exp (neg a))
(exp (neg a))
(exp (* -1 a))
(exp (* -1 a))
(exp (* -1 a))
(exp (* -1 a))
(/ 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))))
(/ 1 (* (exp (neg a)) (+ 1 (exp a))))
(+ (* -1 (/ b (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
(+ (* b (- (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
(+ (* b (- (* b (- (+ (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (+ (* 1/6 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 4)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3)))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
(/ 1 (* (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 (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))))
2
(+ 2 (* -1 a))
(+ 2 (* a (- (* 1/2 a) 1)))
(+ 2 (* a (- (* a (+ 1/2 (* -1/6 a))) 1)))
(+ 1 (exp (neg a)))
(+ 1 (exp (neg a)))
(+ 1 (exp (neg a)))
(+ 1 (exp (neg a)))
(+ 1 (exp (* -1 a)))
(+ 1 (exp (* -1 a)))
(+ 1 (exp (* -1 a)))
(+ 1 (exp (* -1 a)))
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(/ 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))
Outputs
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ (/ 1 (+ 1 (exp b))) (/ (* a (- 1 (/ 1 (+ 1 (exp b))))) (+ 1 (exp b))))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 b)))) (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(+ (* a (- (+ (/ 1 (+ 1 (exp b))) (/ (* a (+ (* -1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (* 1/2 (pow (- 1 (/ 1 (+ 1 (exp b)))) 2)))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 a (fma.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 b)))) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 b)))) (+.f64 #s(literal 1 binary64) (exp.f64 b))))) (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 b)))) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (/.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)) 2))) (+ 1 (exp b)))) (+ (* 1/2 (/ (pow (- 1 (/ 1 (+ 1 (exp b)))) 2) (+ 1 (exp b)))) (/ (* a (+ (* -1/2 (* (- 1 (/ 1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (+ (* -1/6 (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2))))) (* 1/6 (pow (- 1 (/ 1 (+ 1 (exp b)))) 3))))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 b)))) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (fma.f64 (fma.f64 #s(literal -1/6 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (/.f64 #s(literal -3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 b)))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (*.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 b)))) #s(literal 3 binary64))))) (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 b)))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 b))))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 b)))) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(exp (- (* -1 (log (+ (exp a) (exp b)))) (* -1 a)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(exp (- (* -1 (log (+ (exp a) (exp b)))) (* -1 a)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(exp (- (* -1 (log (+ (exp a) (exp b)))) (* -1 a)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(exp (- (* -1 (log (+ (exp a) (exp b)))) (* -1 a)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(exp (+ a (* -1 (log (+ 1 (exp a))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
(+ (exp (+ a (* -1 (log (+ 1 (exp a)))))) (* -1 (/ (* b (exp (+ a (* -1 (log (+ 1 (exp 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))))))
(+ (exp (+ a (* -1 (log (+ 1 (exp a)))))) (* b (+ (* -1 (/ (exp (+ a (* -1 (log (+ 1 (exp a)))))) (+ 1 (exp a)))) (* b (* (exp (+ a (* -1 (log (+ 1 (exp a)))))) (+ (* -1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))))))
(fma.f64 b (fma.f64 (*.f64 b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 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)))))
(+ (exp (+ a (* -1 (log (+ 1 (exp a)))))) (* b (+ (* -1 (/ (exp (+ a (* -1 (log (+ 1 (exp a)))))) (+ 1 (exp a)))) (* b (+ (* b (* (exp (+ a (* -1 (log (+ 1 (exp a)))))) (- (+ (* -1/6 (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2))))) (* 1/2 (/ (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))) (+ 1 (exp a))))) (* 1/6 (/ 1 (pow (+ 1 (exp a)) 3)))))) (* (exp (+ a (* -1 (log (+ 1 (exp a)))))) (+ (* -1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))))))))
(fma.f64 b (fma.f64 (*.f64 b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))) (fma.f64 #s(literal -1/6 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))) (/.f64 #s(literal -3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (/.f64 #s(literal -1/6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))))) b (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 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)))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b 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 (log 2))
(neg.f64 (log.f64 #s(literal 2 binary64)))
(- (* -1/2 b) (log 2))
(-.f64 (*.f64 b #s(literal -1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(- (* b (- (* -1/8 b) 1/2)) (log 2))
(-.f64 (*.f64 b (fma.f64 b #s(literal -1/8 binary64) #s(literal -1/2 binary64))) (log.f64 #s(literal 2 binary64)))
(- (* b (- (* b (- (* 1/192 (pow b 2)) 1/8)) 1/2)) (log 2))
(-.f64 (*.f64 b (fma.f64 b (fma.f64 #s(literal 1/192 binary64) (*.f64 b b) #s(literal -1/8 binary64)) #s(literal -1/2 binary64))) (log.f64 #s(literal 2 binary64)))
(* -1 (log (+ 1 (exp b))))
(neg.f64 (log1p.f64 (exp.f64 b)))
(* -1 (log (+ 1 (exp b))))
(neg.f64 (log1p.f64 (exp.f64 b)))
(* -1 (log (+ 1 (exp b))))
(neg.f64 (log1p.f64 (exp.f64 b)))
(* -1 (log (+ 1 (exp b))))
(neg.f64 (log1p.f64 (exp.f64 b)))
(* -1 (log (+ 1 (exp b))))
(neg.f64 (log1p.f64 (exp.f64 b)))
(* -1 (log (+ 1 (exp b))))
(neg.f64 (log1p.f64 (exp.f64 b)))
(* -1 (log (+ 1 (exp b))))
(neg.f64 (log1p.f64 (exp.f64 b)))
(* -1 (log (+ 1 (exp b))))
(neg.f64 (log1p.f64 (exp.f64 b)))
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* 1/2 b))
(fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* b (+ 1/2 (* 1/8 b))))
(fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))))
(fma.f64 b (fma.f64 b (fma.f64 b (*.f64 b #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(log (+ 1 (exp b)))
(log1p.f64 (exp.f64 b))
(log (+ 1 (exp b)))
(log1p.f64 (exp.f64 b))
(log (+ 1 (exp b)))
(log1p.f64 (exp.f64 b))
(log (+ 1 (exp b)))
(log1p.f64 (exp.f64 b))
(log (+ 1 (exp b)))
(log1p.f64 (exp.f64 b))
(log (+ 1 (exp b)))
(log1p.f64 (exp.f64 b))
(log (+ 1 (exp b)))
(log1p.f64 (exp.f64 b))
(log (+ 1 (exp b)))
(log1p.f64 (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 (+ 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))))
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(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))

rewrite442.0ms (5.5%)

Memory
24.0MiB live, 682.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 096×lower-fma.f64
4 096×lower-fma.f32
3 620×lower-*.f32
3 618×lower-*.f64
3 256×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03178
05482
113770
276570
3695170
0879170
Stop Event
iter limit
node limit
iter limit
Counts
14 → 864
Calls
Call 1
Inputs
(exp.f64 #s(approx (+ (* (log (+ (exp a) (exp b))) -1) a) (neg.f64 (log1p.f64 (exp.f64 b)))))
(exp.f64 b)
(neg.f64 (log1p.f64 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(exp.f64 a)
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) (exp.f64 a))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(+.f64 (exp.f64 a) #s(approx (exp b) #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 (neg.f64 a)))))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
(neg.f64 a)
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))
Outputs
(+.f64 (*.f64 (/.f64 #s(approx (exp a) #s(literal 1 binary64)) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64)))))) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64)))) (*.f64 (/.f64 #s(approx (exp a) #s(literal 1 binary64)) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64)))))) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) (-.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))))))
(+.f64 (*.f64 (/.f64 #s(approx (exp a) #s(literal 1 binary64)) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64)))))) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) (-.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))))) (*.f64 (/.f64 #s(approx (exp a) #s(literal 1 binary64)) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64)))))) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64)))))
(+.f64 (*.f64 (/.f64 #s(approx (exp a) #s(literal 1 binary64)) (*.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #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) #s(literal 1 binary64))) (*.f64 (/.f64 #s(approx (exp a) #s(literal 1 binary64)) (*.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (-.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))) (neg.f64 #s(approx (exp b) #s(literal 1 binary64)))))
(+.f64 (*.f64 (*.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))) (/.f64 #s(approx (exp a) #s(literal 1 binary64)) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))))))) (*.f64 (*.f64 #s(approx (exp b) #s(literal 1 binary64)) (-.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64)))) (/.f64 #s(approx (exp a) #s(literal 1 binary64)) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))))))))
(+.f64 (*.f64 (*.f64 #s(approx (exp b) #s(literal 1 binary64)) (-.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64)))) (/.f64 #s(approx (exp a) #s(literal 1 binary64)) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))))))) (*.f64 (*.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))) (/.f64 #s(approx (exp a) #s(literal 1 binary64)) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))))))))
(+.f64 (*.f64 #s(approx (exp a) #s(literal 1 binary64)) (/.f64 #s(approx (exp a) #s(literal 1 binary64)) (*.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (-.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))))) (*.f64 (neg.f64 #s(approx (exp b) #s(literal 1 binary64))) (/.f64 #s(approx (exp a) #s(literal 1 binary64)) (*.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (-.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))))))
(exp.f64 #s(approx (+ (* (log (+ (exp a) (exp b))) -1) a) (neg.f64 (log1p.f64 #s(approx (exp b) #s(literal 1 binary64))))))
(exp.f64 (*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (+ (* (log (+ (exp a) (exp b))) -1) a) (neg.f64 (log1p.f64 #s(approx (exp b) #s(literal 1 binary64))))))))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 #s(approx (exp a) #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 (neg.f64 #s(approx (exp a) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) (/.f64 (neg.f64 #s(approx (exp a) #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))))
(fma.f64 #s(approx (exp a) #s(literal 1 binary64)) (/.f64 #s(approx (exp a) #s(literal 1 binary64)) (*.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (-.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))) (*.f64 (neg.f64 #s(approx (exp b) #s(literal 1 binary64))) (/.f64 #s(approx (exp a) #s(literal 1 binary64)) (*.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (-.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))))))
(fma.f64 (*.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))) (/.f64 #s(approx (exp a) #s(literal 1 binary64)) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64)))))) (*.f64 (*.f64 #s(approx (exp b) #s(literal 1 binary64)) (-.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64)))) (/.f64 #s(approx (exp a) #s(literal 1 binary64)) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))))))))
(fma.f64 (*.f64 #s(approx (exp b) #s(literal 1 binary64)) (-.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64)))) (/.f64 #s(approx (exp a) #s(literal 1 binary64)) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64)))))) (*.f64 (*.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))) (/.f64 #s(approx (exp a) #s(literal 1 binary64)) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))))))))
(fma.f64 (/.f64 #s(approx (exp a) #s(literal 1 binary64)) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64)))))) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))) (*.f64 (/.f64 #s(approx (exp a) #s(literal 1 binary64)) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64)))))) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) (-.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))))))
(fma.f64 (/.f64 #s(approx (exp a) #s(literal 1 binary64)) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64)))))) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) (-.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64)))) (*.f64 (/.f64 #s(approx (exp a) #s(literal 1 binary64)) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64)))))) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(approx (exp a) #s(literal 1 binary64)) (*.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #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) #s(literal 1 binary64)) (*.f64 (/.f64 #s(approx (exp a) #s(literal 1 binary64)) (*.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (-.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))) (neg.f64 #s(approx (exp b) #s(literal 1 binary64)))))
(neg.f64 (/.f64 (neg.f64 #s(approx (exp a) #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64)))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.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))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.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) #s(literal 1 binary64))))
(/.f64 (/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) #s(literal 1 binary64))
(/.f64 (neg.f64 #s(approx (exp a) #s(literal 1 binary64))) (-.f64 (neg.f64 #s(approx (exp a) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(approx (exp a) #s(literal 1 binary64)) (fma.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) (-.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64)))))) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))))))
(/.f64 (*.f64 #s(approx (exp a) #s(literal 1 binary64)) (-.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) (*.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (-.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))))
(/.f64 (/.f64 #s(literal -1 binary64) (+.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) #s(literal 1 binary64))))
(/.f64 (/.f64 #s(approx (exp a) #s(literal 1 binary64)) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64)))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) (-.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64)))))))
(/.f64 (/.f64 #s(approx (exp a) #s(literal 1 binary64)) (*.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (-.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))))
(/.f64 (exp.f64 (/.f64 (pow.f64 (log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) #s(literal 2 binary64)) (-.f64 (neg.f64 (log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))) a))) (exp.f64 (/.f64 (*.f64 a a) (-.f64 (neg.f64 (log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))) a))))
(/.f64 (*.f64 #s(approx (exp a) #s(literal 1 binary64)) (fma.f64 #s(approx (exp a) #s(literal 1 binary64)) (*.f64 (*.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))))) (*.f64 (*.f64 #s(approx (exp b) #s(literal 1 binary64)) (-.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64)))) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) (*.f64 (-.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) (-.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))))))))) (*.f64 (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))))) (fma.f64 (*.f64 #s(approx (exp b) #s(literal 1 binary64)) (-.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64)))) (-.f64 (*.f64 #s(approx (exp b) #s(literal 1 binary64)) (-.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64)))) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64)))) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))))))))
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eval131.0ms (1.6%)

Memory
6.0MiB live, 113.7MiB allocated
Compiler

Compiled 16 849 to 1 098 computations (93.5% saved)

prune72.0ms (0.9%)

Memory
-3.1MiB live, 153.6MiB allocated
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New8664870
Fresh000
Picked134
Done011
Total8678875
Accuracy
100.0%
Counts
875 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
60.6%
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
40.0%
(/.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))))
39.8%
(/.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))))
40.3%
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
62.0%
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
40.3%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
83.9%
(exp.f64 #s(approx (+ (* (log (+ (exp a) (exp b))) -1) a) (neg.f64 (log1p.f64 (exp.f64 b)))))
83.9%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
Compiler

Compiled 77 to 54 computations (29.9% saved)

simplify9.0ms (0.1%)

Memory
17.4MiB live, 17.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))
cost-diff0
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64))
cost-diff0
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
cost-diff0
(/.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))))
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
(/.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
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))
cost-diff0
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
cost-diff0
(+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
cost-diff6400
(exp.f64 a)
Rules
76×lower-fma.f32
72×lower-fma.f64
70×lower-*.f32
68×lower-*.f64
32×lower-+.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
021117
037123
154115
270115
3100115
4105115
5108115
0108115
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) #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(literal 1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
#s(literal 1 binary64)
(+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))
(exp.f64 a)
a
#s(approx (exp b) #s(literal 1 binary64))
#s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)
(/.f64 #s(approx (exp a) #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) #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 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) #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))
(/.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) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
a
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 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) #s(literal 1 binary64))
#s(approx (exp b) #s(literal 1 binary64))
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) #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)) (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))))
#s(literal 1 binary64)
(+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))
(+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64)))
(exp.f64 a)
#s(approx (exp a) #s(literal 1 binary64))
a
#s(approx (exp b) #s(literal 1 binary64))
#s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (exp a) #s(literal 1 binary64))
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))))
#s(approx (exp a) #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)))
(+.f64 #s(approx (exp b) #s(literal 1 binary64)) #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) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))))
#s(approx (exp a) (+.f64 #s(literal 1 binary64) a))
#s(approx (exp a) #s(literal 1 binary64))
(+.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)))
(+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64)))
#s(approx (exp a) #s(literal 1 binary64))
#s(approx (exp b) #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))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))))
#s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (exp a) #s(literal 1 binary64))
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
a
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))
(+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64)))
#s(approx (exp a) #s(literal 1 binary64))
#s(approx (exp b) #s(literal 1 binary64))

localize72.0ms (0.9%)

Memory
-14.3MiB live, 116.2MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy100.0%
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64))
accuracy100.0%
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))
accuracy98.8%
(/.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))))
accuracy100.0%
(+.f64 #s(literal 1 binary64) a)
accuracy100.0%
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))
accuracy98.8%
(/.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))))
accuracy100.0%
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))
accuracy98.8%
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
accuracy100.0%
(exp.f64 a)
accuracy100.0%
(+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))
accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
accuracy98.8%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
Samples
31.0ms256×0valid
Compiler

Compiled 125 to 17 computations (86.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-add: 5.0ms (28.7% of total)
ival-mult: 5.0ms (28.7% of total)
ival-exp: 4.0ms (22.9% of total)
ival-div: 3.0ms (17.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
-25.9MiB live, 13.1MiB allocated
Counts
11 → 216
Calls
Call 1
Inputs
#<alt (exp.f64 a)>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (+.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 (/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))>
#<alt (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 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 (+.f64 #s(literal 1 binary64) a)>
#<alt (/.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))))>
#<alt (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))>
#<alt (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64))>
Outputs
#<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 (+ 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 (+ 1 (exp b)))>
#<alt (+ (* -1 (/ a (pow (+ 1 (exp b)) 2))) (/ 1 (+ 1 (exp b))))>
#<alt (+ (* a (- (* a (- (/ 1 (pow (+ 1 (exp b)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (+ (* a (- (* a (- (+ (* a (- (/ 1 (pow (+ 1 (exp b)) 3)) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (/ 1 (pow (+ 1 (exp b)) 4))))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (/ 1 (+ (exp a) (exp b)))>
#<alt (/ 1 (+ (exp a) (exp b)))>
#<alt (/ 1 (+ (exp a) (exp b)))>
#<alt (/ 1 (+ (exp a) (exp b)))>
#<alt (/ 1 (+ (exp a) (exp b)))>
#<alt (/ 1 (+ (exp a) (exp b)))>
#<alt (/ 1 (+ (exp a) (exp b)))>
#<alt (/ 1 (+ (exp a) (exp b)))>
#<alt (/ 1 (+ 1 (exp a)))>
#<alt (+ (* -1 (/ b (pow (+ 1 (exp a)) 2))) (/ 1 (+ 1 (exp a))))>
#<alt (+ (* b (- (* b (- (/ 1 (pow (+ 1 (exp a)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (pow (+ 1 (exp a)) 2)))) (/ 1 (+ 1 (exp a))))>
#<alt (+ (* b (- (* b (- (+ (* b (- (/ 1 (pow (+ 1 (exp a)) 3)) (+ (* 1/6 (/ 1 (pow (+ 1 (exp a)) 2))) (/ 1 (pow (+ 1 (exp a)) 4))))) (/ 1 (pow (+ 1 (exp a)) 3))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (pow (+ 1 (exp a)) 2)))) (/ 1 (+ 1 (exp a))))>
#<alt (/ 1 (+ (exp a) (exp b)))>
#<alt (/ 1 (+ (exp a) (exp b)))>
#<alt (/ 1 (+ (exp a) (exp b)))>
#<alt (/ 1 (+ (exp a) (exp b)))>
#<alt (/ 1 (+ (exp a) (exp b)))>
#<alt (/ 1 (+ (exp a) (exp b)))>
#<alt (/ 1 (+ (exp a) (exp b)))>
#<alt (/ 1 (+ (exp a) (exp b)))>
#<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 (+ 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)))>
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#<alt (* a (+ 1/2 (/ 1 a)))>
#<alt (* a (+ 1/2 (/ 1 a)))>
Calls

54 calls:

TimeVariablePointExpression
0.0ms
a
@-inf
(+ (* a (+ (* a 1/2) 1)) 1)
0.0ms
a
@inf
(+ (* a (+ (* a 1/2) 1)) 1)
0.0ms
a
@0
(+ (* a (+ (* a 1/2) 1)) 1)
0.0ms
a
@inf
(+ (* a 1/2) 1)
0.0ms
a
@0
(+ (* a 1/2) 1)

simplify475.0ms (5.9%)

Memory
43.1MiB live, 818.4MiB allocated
Algorithm
egg-herbie
Rules
15 672×lower-fma.f64
15 672×lower-fma.f32
5 442×lower-*.f64
5 442×lower-*.f32
3 538×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01712884
14682818
212752746
354622674
083642538
Stop Event
iter limit
node limit
Counts
216 → 214
Calls
Call 1
Inputs
1
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1
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a
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a
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(/ (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 (* 1/2 a))))
(* 1/2 (pow a 2))
(* (pow a 2) (+ 1/2 (/ 1 a)))
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))
(* 1/2 (pow a 2))
(* (pow a 2) (+ 1/2 (/ 1 a)))
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))
1
(+ 1 (* 1/2 a))
(+ 1 (* 1/2 a))
(+ 1 (* 1/2 a))
(* 1/2 a)
(* a (+ 1/2 (/ 1 a)))
(* a (+ 1/2 (/ 1 a)))
(* a (+ 1/2 (/ 1 a)))
(* 1/2 a)
(* a (+ 1/2 (/ 1 a)))
(* a (+ 1/2 (/ 1 a)))
(* a (+ 1/2 (/ 1 a)))
Outputs
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 (+ 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 a (+.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #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)))) (/ 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))) (+.f64 (fma.f64 a (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.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 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 (fma.f64 a (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 a (-.f64 (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 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))) (/.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))))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(-.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(fma.f64 b (fma.f64 (exp.f64 a) (/.f64 b (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 2 binary64))) (fma.f64 b #s(literal -1/2 binary64) #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 b (neg.f64 (fma.f64 (fma.f64 b (fma.f64 (exp.f64 a) (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (/.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1/2 binary64))) (-.f64 #s(literal -1 binary64) (exp.f64 a)))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) b (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1/2 binary64))))) b (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) (/.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 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ (* -1 (/ a (pow (+ 1 (exp b)) 2))) (/ 1 (+ 1 (exp b))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))
(+ (* a (- (* a (- (/ 1 (pow (+ 1 (exp b)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 a (+.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 -1/2 binary64) a #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(+ (* a (- (* a (- (+ (* a (- (/ 1 (pow (+ 1 (exp b)) 3)) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (/ 1 (pow (+ 1 (exp b)) 4))))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 a (+.f64 (fma.f64 a (fma.f64 a (+.f64 (/.f64 #s(literal -1/6 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 4 binary64)))) (/.f64 a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (/.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 -1/2 binary64) a #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(/ 1 (+ (exp a) (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ 1 (+ (exp a) (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ 1 (+ (exp a) (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ 1 (+ (exp a) (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ 1 (+ (exp a) (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ 1 (+ (exp a) (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ 1 (+ (exp a) (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ 1 (+ (exp a) (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ 1 (+ 1 (exp a)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ (* -1 (/ b (pow (+ 1 (exp a)) 2))) (/ 1 (+ 1 (exp a))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 b (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))
(+ (* b (- (* b (- (/ 1 (pow (+ 1 (exp a)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (pow (+ 1 (exp a)) 2)))) (/ 1 (+ 1 (exp a))))
(fma.f64 b (+.f64 (/.f64 b (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (fma.f64 b #s(literal -1/2 binary64) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (* b (- (* b (- (+ (* b (- (/ 1 (pow (+ 1 (exp a)) 3)) (+ (* 1/6 (/ 1 (pow (+ 1 (exp a)) 2))) (/ 1 (pow (+ 1 (exp a)) 4))))) (/ 1 (pow (+ 1 (exp a)) 3))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (pow (+ 1 (exp a)) 2)))) (/ 1 (+ 1 (exp a))))
(fma.f64 b (fma.f64 b (fma.f64 b (+.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 4 binary64)))) (/.f64 b (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))) (+.f64 (/.f64 b (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (fma.f64 b #s(literal -1/2 binary64) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/ 1 (+ (exp a) (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ 1 (+ (exp a) (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ 1 (+ (exp a) (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ 1 (+ (exp a) (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ 1 (+ (exp a) (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ 1 (+ (exp a) (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ 1 (+ (exp a) (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ 1 (+ (exp a) (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (+ a (exp b)))
(+.f64 #s(literal 1 binary64) (+.f64 a (exp.f64 b)))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+.f64 (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 b))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(+.f64 (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.f64 b))
(+ (exp a) (exp b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+ (exp a) (exp b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+ (exp a) (exp b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+ (exp a) (exp b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+ (exp a) (exp b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+ (exp a) (exp b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+ (exp a) (exp b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+ (exp a) (exp b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (+ b (exp a)))
(+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) b))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (exp.f64 a)))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(fma.f64 b (fma.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ (exp a) (exp b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+ (exp a) (exp b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+ (exp a) (exp b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+ (exp a) (exp b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+ (exp a) (exp b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+ (exp a) (exp b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+ (exp a) (exp b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+ (exp a) (exp b))
(+.f64 (exp.f64 a) (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 (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #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)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
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(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(-.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(fma.f64 b (fma.f64 (exp.f64 a) (/.f64 b (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 2 binary64))) (fma.f64 b #s(literal -1/2 binary64) #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 b (neg.f64 (fma.f64 (fma.f64 b (fma.f64 (exp.f64 a) (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (/.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1/2 binary64))) (-.f64 #s(literal -1 binary64) (exp.f64 a)))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) b (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1/2 binary64))))) b (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) (/.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 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (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 (* 1/2 a))))
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(* 1/2 (pow a 2))
(*.f64 a (*.f64 a #s(literal 1/2 binary64)))
(* (pow a 2) (+ 1/2 (/ 1 a)))
(fma.f64 a (*.f64 a #s(literal 1/2 binary64)) a)
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(* 1/2 (pow a 2))
(*.f64 a (*.f64 a #s(literal 1/2 binary64)))
(* (pow a 2) (+ 1/2 (/ 1 a)))
(fma.f64 a (*.f64 a #s(literal 1/2 binary64)) a)
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 a))
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* 1/2 a))
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* 1/2 a))
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* a (+ 1/2 (/ 1 a)))
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64))
(* a (+ 1/2 (/ 1 a)))
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64))
(* a (+ 1/2 (/ 1 a)))
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* a (+ 1/2 (/ 1 a)))
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64))
(* a (+ 1/2 (/ 1 a)))
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64))
(* a (+ 1/2 (/ 1 a)))
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64))

rewrite572.0ms (7.1%)

Memory
9.7MiB live, 1 090.7MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 858×lower-fma.f32
5 854×lower-fma.f64
3 978×lower-*.f32
3 976×lower-*.f64
3 092×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02167
03765
111065
268965
3665565
0809365
Stop Event
iter limit
node limit
iter limit
Counts
11 → 792
Calls
Call 1
Inputs
(exp.f64 a)
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) #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(literal 1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
(+.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) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) a)
(/.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))))
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64))
Outputs
(exp.f64 a)
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (exp a) #s(literal 1 binary64))))
(neg.f64 (neg.f64 #s(approx (exp a) #s(literal 1 binary64))))
#s(approx (exp a) #s(literal 1 binary64))
#s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (exp a) (+.f64 a #s(literal 1 binary64)))
(pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) a)
(*.f64 #s(literal 1 binary64) #s(approx (exp a) #s(literal 1 binary64)))
(*.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (exp a) #s(literal 1 binary64))))
(+.f64 (*.f64 (/.f64 #s(approx (exp a) #s(literal 1 binary64)) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64)))))) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64)))) (*.f64 (/.f64 #s(approx (exp a) #s(literal 1 binary64)) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64)))))) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) (-.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))))))
(+.f64 (*.f64 (/.f64 #s(approx (exp a) #s(literal 1 binary64)) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64)))))) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) (-.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))))) (*.f64 (/.f64 #s(approx (exp a) #s(literal 1 binary64)) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64)))))) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64)))))
(+.f64 (*.f64 (/.f64 #s(approx (exp a) #s(literal 1 binary64)) (*.f64 (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #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) #s(literal 1 binary64))) (*.f64 (/.f64 #s(approx (exp a) #s(literal 1 binary64)) (*.f64 (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))) (-.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))) (neg.f64 #s(approx (exp b) #s(literal 1 binary64)))))
(+.f64 (*.f64 (*.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))) (/.f64 #s(approx (exp a) #s(literal 1 binary64)) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))))))) (*.f64 (*.f64 #s(approx (exp b) #s(literal 1 binary64)) (-.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64)))) (/.f64 #s(approx (exp a) #s(literal 1 binary64)) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))))))))
(+.f64 (*.f64 (*.f64 #s(approx (exp b) #s(literal 1 binary64)) (-.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64)))) (/.f64 #s(approx (exp a) #s(literal 1 binary64)) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))))))) (*.f64 (*.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))) (/.f64 #s(approx (exp a) #s(literal 1 binary64)) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))))))))
(+.f64 (*.f64 #s(approx (exp a) #s(literal 1 binary64)) (/.f64 #s(approx (exp a) #s(literal 1 binary64)) (*.f64 (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))) (-.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))))) (*.f64 (neg.f64 #s(approx (exp b) #s(literal 1 binary64))) (/.f64 #s(approx (exp a) #s(literal 1 binary64)) (*.f64 (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))) (-.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))))))
(exp.f64 (*.f64 (-.f64 (log.f64 (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64)))) a) #s(literal -1 binary64)))
(exp.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64)))) a))
(exp.f64 (+.f64 a (*.f64 #s(literal -1 binary64) (log.f64 (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64)))))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(approx (exp a) #s(literal 1 binary64)) (-.f64 (neg.f64 #s(approx (exp a) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 (neg.f64 #s(approx (exp a) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) (/.f64 #s(approx (exp a) #s(literal 1 binary64)) (-.f64 (neg.f64 #s(approx (exp a) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))))
(fma.f64 #s(approx (exp a) #s(literal 1 binary64)) (/.f64 #s(approx (exp a) #s(literal 1 binary64)) (*.f64 (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))) (-.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))) (*.f64 (neg.f64 #s(approx (exp b) #s(literal 1 binary64))) (/.f64 #s(approx (exp a) #s(literal 1 binary64)) (*.f64 (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))) (-.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))))))
(fma.f64 (*.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))) (/.f64 #s(approx (exp a) #s(literal 1 binary64)) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64)))))) (*.f64 (*.f64 #s(approx (exp b) #s(literal 1 binary64)) (-.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64)))) (/.f64 #s(approx (exp a) #s(literal 1 binary64)) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))))))))
(fma.f64 (*.f64 #s(approx (exp b) #s(literal 1 binary64)) (-.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64)))) (/.f64 #s(approx (exp a) #s(literal 1 binary64)) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64)))))) (*.f64 (*.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))) (/.f64 #s(approx (exp a) #s(literal 1 binary64)) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))))))))
(fma.f64 (/.f64 #s(approx (exp a) #s(literal 1 binary64)) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64)))))) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))) (*.f64 (/.f64 #s(approx (exp a) #s(literal 1 binary64)) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64)))))) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) (-.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))))))
(fma.f64 (/.f64 #s(approx (exp a) #s(literal 1 binary64)) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64)))))) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) (-.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64)))) (*.f64 (/.f64 #s(approx (exp a) #s(literal 1 binary64)) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64)))))) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(approx (exp a) #s(literal 1 binary64)) (*.f64 (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #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) #s(literal 1 binary64)) (*.f64 (/.f64 #s(approx (exp a) #s(literal 1 binary64)) (*.f64 (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))) (-.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))) (neg.f64 #s(approx (exp b) #s(literal 1 binary64)))))
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(*.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64))))
(*.f64 (fma.f64 a (*.f64 (*.f64 a a) #s(literal 1/8 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 (*.f64 a #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (fma.f64 a (*.f64 (*.f64 a a) #s(literal 1/8 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 (*.f64 a #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (fma.f64 a (*.f64 a #s(literal 1/4 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64))))
(*.f64 (fma.f64 a (*.f64 a #s(literal 1/4 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 (neg.f64 (fma.f64 a (*.f64 (*.f64 a a) #s(literal 1/8 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 a (-.f64 (*.f64 a #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(*.f64 (neg.f64 (fma.f64 a (*.f64 a #s(literal 1/4 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64))) (fma.f64 a (*.f64 a #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 (*.f64 a #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (fma.f64 a (*.f64 (*.f64 a a) #s(literal 1/8 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 a (*.f64 a #s(literal 1/4 binary64)) #s(literal -1 binary64)) (fma.f64 a (*.f64 a #s(literal 1/4 binary64)) #s(literal -1 binary64))) (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) #s(literal 1/4 binary64)))) (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 a (*.f64 (*.f64 a a) #s(literal 1/8 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 a #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 a #s(literal -1/2 binary64) #s(literal 1 binary64)) (fma.f64 a #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a))) #s(literal 1/64 binary64)))) (fma.f64 (fma.f64 a #s(literal -1/2 binary64) #s(literal 1 binary64)) (-.f64 (fma.f64 a #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 a a) #s(literal 1/4 binary64))) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) #s(literal 1/16 binary64))))
(*.f64 (/.f64 (fma.f64 a (*.f64 (*.f64 a a) #s(literal 1/8 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 a (-.f64 (*.f64 a #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 a (*.f64 a #s(literal 1/4 binary64)) #s(literal -1 binary64)) (*.f64 a #s(literal 1/2 binary64))))) (+.f64 (fma.f64 a (*.f64 a #s(literal 1/4 binary64)) #s(literal -1 binary64)) (*.f64 a #s(literal 1/2 binary64))))
(*.f64 (/.f64 (fma.f64 a (*.f64 a #s(literal 1/4 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 a (*.f64 a a)) #s(literal 1/8 binary64) #s(literal -1 binary64))) (fma.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) #s(literal 1/4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 a (*.f64 a a))))) (fma.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))

eval106.0ms (1.3%)

Memory
13.8MiB live, 275.8MiB allocated
Compiler

Compiled 20 802 to 940 computations (95.5% saved)

prune86.0ms (1.1%)

Memory
14.2MiB live, 216.6MiB allocated
Pruning

10 alts after pruning (3 fresh and 7 done)

PrunedKeptTotal
New9553958
Fresh000
Picked134
Done044
Total95610966
Accuracy
100.0%
Counts
966 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
60.6%
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
40.0%
(/.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))))
39.8%
(/.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))))
40.3%
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
62.0%
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (exp a) (exp b)) (exp (neg a))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
43.1%
(*.f64 (/.f64 #s(literal 1 binary64) (+.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)))) #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
41.2%
(*.f64 (/.f64 #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))) #s(approx (exp b) #s(literal 1 binary64)))) #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
40.1%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
83.9%
(exp.f64 #s(approx (+ (* (log (+ (exp a) (exp b))) -1) a) (neg.f64 (log1p.f64 (exp.f64 b)))))
83.9%
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
Compiler

Compiled 313 to 134 computations (57.2% saved)

regimes30.0ms (0.4%)

Memory
-31.4MiB live, 73.0MiB allocated
Counts
18 → 1
Calls
Call 1
Inputs
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.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) #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))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 #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))) #s(approx (exp b) #s(literal 1 binary64)))) #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.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)))) #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #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))))
(/.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 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) (exp.f64 a))
(exp.f64 #s(approx (+ (* (log (+ (exp a) (exp b))) -1) a) (neg.f64 (log1p.f64 (exp.f64 b)))))
(/.f64 (exp.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 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))))
#s(approx (/ (exp a) (+ (exp a) (exp 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.f64 (fma.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64) a))
Outputs
(exp.f64 (fma.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64) a))
Calls

5 calls:

9.0ms
b
6.0ms
a
5.0ms
(exp.f64 b)
5.0ms
(exp.f64 a)
5.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Results
AccuracySegmentsBranch
98.8%1a
98.8%1b
98.8%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
98.8%1(exp.f64 a)
98.8%1(exp.f64 b)
Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes27.0ms (0.3%)

Memory
-20.2MiB live, 58.8MiB allocated
Counts
17 → 1
Calls
Call 1
Inputs
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.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) #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))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 #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))) #s(approx (exp b) #s(literal 1 binary64)))) #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.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)))) #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #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))))
(/.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 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) (exp.f64 a))
(exp.f64 #s(approx (+ (* (log (+ (exp a) (exp b))) -1) a) (neg.f64 (log1p.f64 (exp.f64 b)))))
(/.f64 (exp.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 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))))
#s(approx (/ (exp a) (+ (exp a) (exp 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)))))
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 a))
Calls

5 calls:

6.0ms
a
6.0ms
b
5.0ms
(exp.f64 b)
4.0ms
(exp.f64 a)
4.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Results
AccuracySegmentsBranch
98.8%1a
98.8%1b
98.8%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
98.8%1(exp.f64 a)
98.8%1(exp.f64 b)
Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes23.0ms (0.3%)

Memory
9.2MiB live, 48.8MiB allocated
Counts
14 → 1
Calls
Call 1
Inputs
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.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) #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))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 #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))) #s(approx (exp b) #s(literal 1 binary64)))) #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.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)))) #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #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))))
(/.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 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) (exp.f64 a))
(exp.f64 #s(approx (+ (* (log (+ (exp a) (exp b))) -1) a) (neg.f64 (log1p.f64 (exp.f64 b)))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Calls

5 calls:

6.0ms
b
5.0ms
a
4.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms
(exp.f64 b)
4.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
98.8%1a
98.8%1b
98.8%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
98.8%1(exp.f64 a)
98.8%1(exp.f64 b)
Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes22.0ms (0.3%)

Memory
-3.5MiB live, 37.3MiB allocated
Counts
13 → 2
Calls
Call 1
Inputs
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.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) #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))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 #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))) #s(approx (exp b) #s(literal 1 binary64)))) #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.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)))) #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #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))))
(/.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 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) (exp.f64 a))
(exp.f64 #s(approx (+ (* (log (+ (exp a) (exp b))) -1) a) (neg.f64 (log1p.f64 (exp.f64 b)))))
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)))))
(exp.f64 #s(approx (+ (* (log (+ (exp a) (exp b))) -1) a) (neg.f64 (log1p.f64 (exp.f64 b)))))
Calls

5 calls:

6.0ms
b
4.0ms
a
4.0ms
(exp.f64 b)
4.0ms
(exp.f64 a)
4.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Results
AccuracySegmentsBranch
98.6%2a
99.8%3b
83.9%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
98.6%2(exp.f64 a)
99.8%3(exp.f64 b)
Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory
11.2MiB live, 11.2MiB allocated
Counts
12 → 2
Calls
Call 1
Inputs
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.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) #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))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 #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))) #s(approx (exp b) #s(literal 1 binary64)))) #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.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)))) #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #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))))
(/.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 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) (exp.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

2 calls:

4.0ms
a
3.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
98.5%2a
98.5%2(exp.f64 a)
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes12.0ms (0.1%)

Memory
14.8MiB live, 14.8MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.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) #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))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 #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))) #s(approx (exp b) #s(literal 1 binary64)))) #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.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)))) #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #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))))
(/.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

4 calls:

3.0ms
b
3.0ms
a
2.0ms
(exp.f64 a)
2.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
98.4%3b
98.4%3(exp.f64 b)
97.9%2a
97.9%2(exp.f64 a)
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes196.0ms (2.4%)

Memory
-23.6MiB live, 15.9MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.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) #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))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 #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))) #s(approx (exp b) #s(literal 1 binary64)))) #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.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)))) #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #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))))
Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
Calls

5 calls:

185.0ms
(exp.f64 a)
3.0ms
a
3.0ms
b
2.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
2.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
83.9%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
83.9%1b
83.9%1(exp.f64 b)
83.9%1a
83.9%1(exp.f64 a)
Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes12.0ms (0.2%)

Memory
14.2MiB live, 14.2MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.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) #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))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 #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))) #s(approx (exp b) #s(literal 1 binary64)))) #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.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)))) #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) (+.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)))) #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
Calls

5 calls:

3.0ms
b
3.0ms
a
2.0ms
(exp.f64 b)
2.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
2.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
43.1%1a
43.1%1b
43.1%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
43.1%1(exp.f64 a)
43.1%1(exp.f64 b)
Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes52.0ms (0.6%)

Memory
-25.2MiB live, 14.4MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.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) #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))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 #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))) #s(approx (exp b) #s(literal 1 binary64)))) #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
Outputs
(*.f64 (/.f64 #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))) #s(approx (exp b) #s(literal 1 binary64)))) #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
Calls

5 calls:

43.0ms
a
2.0ms
b
2.0ms
(exp.f64 a)
2.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
2.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
41.2%1(exp.f64 a)
41.2%1a
41.2%1b
41.2%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
41.2%1(exp.f64 b)
Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes10.0ms (0.1%)

Memory
12.9MiB live, 12.9MiB allocated
Accuracy

Total -0.4b remaining (-1%)

Threshold costs -0.4b (-1%)

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

5 calls:

2.0ms
b
2.0ms
a
2.0ms
(exp.f64 a)
2.0ms
(exp.f64 b)
2.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Results
AccuracySegmentsBranch
40.3%1a
40.3%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
40.3%1(exp.f64 a)
40.3%1b
40.3%1(exp.f64 b)
Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.012647830069414967
0.25665153847407257
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.012647830069414967
0.25665153847407257
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.012647830069414967
0.25665153847407257
Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify8.0ms (0.1%)

Memory
14.8MiB live, 14.8MiB allocated
Algorithm
egg-herbie
Rules
16×+-commutative_binary64
10×*-commutative_binary64
sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060223
176223
280223
382223
Stop Event
saturated
Calls
Call 1
Inputs
(exp.f64 (fma.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64) a))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 a))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (<=.f64 (exp.f64 a) #s(literal 5764607523034235/288230376151711744 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))))) (exp.f64 #s(approx (+ (* (log (+ (exp a) (exp b))) -1) a) (neg.f64 (log1p.f64 (exp.f64 b))))))
(if (<=.f64 (exp.f64 a) #s(literal 5764607523034235/288230376151711744 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 (exp.f64 a) #s(literal 5764607523034235/288230376151711744 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)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.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)))) #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 #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))) #s(approx (exp b) #s(literal 1 binary64)))) #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)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
Outputs
(exp.f64 (fma.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64) a))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 a))
(*.f64 (exp.f64 a) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (<=.f64 (exp.f64 a) #s(literal 5764607523034235/288230376151711744 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))))) (exp.f64 #s(approx (+ (* (log (+ (exp a) (exp b))) -1) a) (neg.f64 (log1p.f64 (exp.f64 b))))))
(if (<=.f64 (exp.f64 a) #s(literal 5764607523034235/288230376151711744 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 (exp.f64 a) #s(literal 5764607523034235/288230376151711744 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 (exp.f64 b) #s(literal 1 binary64)))))
(if (<=.f64 (exp.f64 a) #s(literal 5764607523034235/288230376151711744 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 (exp.f64 a) #s(literal 5764607523034235/288230376151711744 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 (exp.f64 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))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.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)))) #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #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 a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 #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))) #s(approx (exp b) #s(literal 1 binary64)))) #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) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #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)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))

soundness996.0ms (12.4%)

Memory
-5.5MiB live, 704.8MiB allocated
Rules
18 438×lower-fma.f64
18 438×lower-fma.f32
15 672×lower-fma.f64
15 672×lower-fma.f32
11 446×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03513376
19873184
227573032
082052858
0617
01017
13217
220317
3193617
0863117
04234243
112323964
236723746
086503549
01712884
14682818
212752746
354622674
083642538
0120740
1332725
2963708
33702677
08342640
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 379 to 210 computations (44.6% saved)

preprocess60.0ms (0.7%)

Memory
25.9MiB live, 141.0MiB allocated
Compiler

Compiled 308 to 112 computations (63.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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