Quotient of sum of exps

Time bar (total: 8.7s)

analyze5.0ms (0.1%)

Memory
8.4MiB live, 8.4MiB 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)

sample937.0ms (10.8%)

Memory
63.8MiB live, 1 461.9MiB allocated
Samples
417.0ms8 256×0valid
195.0ms2 970×0exit
Precisions
Click to see histograms. Total time spent on operations: 318.0ms
ival-exp: 165.0ms (51.8% of total)
ival-div: 76.0ms (23.9% of total)
ival-add: 65.0ms (20.4% of total)
ival-true: 9.0ms (2.8% of total)
ival-assert: 4.0ms (1.3% of total)
Bogosity

preprocess87.0ms (1%)

Memory
-7.8MiB live, 33.8MiB allocated
Algorithm
egg-herbie
Rules
434×div-sub
420×times-frac
300×distribute-lft-in
256×distribute-rgt-in
212×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01856
14256
27756
314656
426251
547151
665351
791851
8130851
9156351
10179650
11202750
12224250
13250950
14254450
15255250
16255450
068
178
078
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(/ (exp a) (+ (exp a) (exp b)))
Outputs
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Call 2
Inputs
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp (neg a)) (+ (exp (neg a)) (exp b)))
(/ (exp a) (+ (exp a) (exp (neg b))))
(neg (/ (exp (neg a)) (+ (exp (neg a)) (exp b))))
(neg (/ (exp a) (+ (exp a) (exp (neg b)))))
(/ (exp b) (+ (exp b) (exp a)))
Outputs
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp (neg a)) (+ (exp (neg a)) (exp b)))
(/ 1 (+ 1 (exp (+ a b))))
(/ (exp a) (+ (exp a) (exp (neg b))))
(neg (/ (exp (neg a)) (+ (exp (neg a)) (exp b))))
(/ 1 (- -1 (exp (+ a b))))
(neg (/ (exp a) (+ (exp a) (exp (neg b)))))
(/ 1 (- -1 (exp (- (neg a) b))))
(/ (exp b) (+ (exp b) (exp a)))
(/ (exp b) (+ (exp a) (exp b)))

explain88.0ms (1%)

Memory
-2.0MiB live, 148.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
20-0-(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
00-0-(+.f64 (exp.f64 a) (exp.f64 b))
00-0-a
00-0-(exp.f64 b)
00-0-b
00-0-(exp.f64 a)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))o/o20
(exp.f64 a)overflow2
(+.f64 (exp.f64 a) (exp.f64 b))overflow58
(exp.f64 a)overflow2
(exp.f64 b)overflow57
Confusion
Predicted +Predicted -
+20
-0254
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+200
-00254
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0254
12
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
38.0ms512×0valid
Compiler

Compiled 62 to 28 computations (54.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-exp: 10.0ms (56.4% of total)
ival-add: 4.0ms (22.6% of total)
ival-div: 3.0ms (16.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 10 to 6 computations (40% saved)

simplify3.0ms (0%)

Memory
5.6MiB live, 5.6MiB 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
exp-lowering-exp.f32
+-lowering-+.f64
+-lowering-+.f32
exp-lowering-exp.f64
/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0619
1719
0719
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ (exp a) (+ (exp a) (exp b)))
(exp a)
a
(+ (exp a) (exp b))
(exp b)
b
Outputs
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(exp a)
(exp.f64 a)
a
(+ (exp a) (exp b))
(+.f64 (exp.f64 a) (exp.f64 b))
(exp b)
(exp.f64 b)
b

localize21.0ms (0.2%)

Memory
-3.9MiB live, 34.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(exp.f64 b)
accuracy100.0%
(exp.f64 a)
accuracy100.0%
(+.f64 (exp.f64 a) (exp.f64 b))
accuracy99.2%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Samples
13.0ms256×0valid
Compiler

Compiled 21 to 8 computations (61.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-exp: 3.0ms (44.5% of total)
ival-div: 2.0ms (29.6% of total)
ival-add: 1.0ms (14.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
8.4MiB live, 8.4MiB allocated
Counts
4 → 72
Calls
Call 1
Inputs
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (exp a)>
#<alt (+ (exp a) (exp b))>
#<alt (exp b)>
Outputs
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))>
#<alt (+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))>
#<alt (+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt 1>
#<alt (+ 1 a)>
#<alt (+ 1 (* a (+ 1 (* 1/2 a))))>
#<alt (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (+ a (exp b)))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (+ b (exp a)))>
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))>
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt 1>
#<alt (+ 1 b)>
#<alt (+ 1 (* b (+ 1 (* 1/2 b))))>
#<alt (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
Calls

18 calls:

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

rewrite369.0ms (4.3%)

Memory
-20.3MiB live, 540.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 200×/-lowering-/.f32
5 200×/-lowering-/.f64
4 032×accelerator-lowering-fma.f32
4 032×accelerator-lowering-fma.f64
3 280×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0617
12817
219917
3192817
0863117
Stop Event
iter limit
node limit
Counts
4 → 314
Calls
Call 1
Inputs
(/ (exp a) (+ (exp a) (exp b)))
(exp a)
(+ (exp a) (exp b))
(exp 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 #s(literal 2 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 b #s(literal 2 binary64))) (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 #s(literal 2 binary64))) (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 #s(literal 2 binary64)))))
(+.f64 (*.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64))))) (exp.f64 a)) (*.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) (exp.f64 b))))
(+.f64 (*.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (/.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 #s(literal 2 binary64))) (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 #s(literal 2 binary64))) (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 #s(literal 2 binary64))) (/.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 #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64)))))) (*.f64 (-.f64 #s(literal 0 binary64) (exp.f64 b)) (/.f64 (exp.f64 a) (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64)))))))
(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 (+.f64 (*.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 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (exp.f64 b))))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (exp.f64 a) (-.f64 (-.f64 #s(literal 0 binary64) (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 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (exp.f64 b))))
(-.f64 (/.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64))))) (/.f64 (exp.f64 (+.f64 a b)) (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64))))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1 binary64)) (/.f64 (/.f64 (exp.f64 a) (-.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (exp.f64 b))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (/.f64 (exp.f64 b) (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (exp.f64 a))))
(-.f64 (/.f64 (/.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (exp.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))))) (/.f64 #s(literal 1 binary64) (exp.f64 a))))
(fma.f64 (exp.f64 a) (/.f64 (exp.f64 a) (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64))))) (*.f64 (-.f64 #s(literal 0 binary64) (exp.f64 b)) (/.f64 (exp.f64 a) (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64)))))))
(fma.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (/.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 #s(literal 2 binary64))) (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 #s(literal 2 binary64))) (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 #s(literal 2 binary64))) (/.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 #s(literal 2 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 b #s(literal 2 binary64))) (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 #s(literal 2 binary64))) (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 #s(literal 2 binary64)))))
(fma.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64))))) (exp.f64 a) (*.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) (exp.f64 b))))
(neg.f64 (/.f64 (exp.f64 a) (-.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (exp.f64 b))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) (-.f64 (-.f64 #s(literal 0 binary64) (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 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (-.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (exp.f64 b)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (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 #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64)))))))
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(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (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 (+.f64 (exp.f64 (*.f64 a #s(literal 6 binary64))) (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 a #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (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 #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64))))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (*.f64 a #s(literal 2 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) (exp.f64 a))))
(exp.f64 b)
(exp.f64 (*.f64 b #s(literal 1 binary64)))
(pow.f64 (exp.f64 b) #s(literal 1 binary64))

simplify515.0ms (6%)

Memory
29.4MiB live, 791.4MiB allocated
Algorithm
egg-herbie
Rules
18 438×accelerator-lowering-fma.f32
18 438×accelerator-lowering-fma.f64
4 430×*-lowering-*.f32
4 430×*-lowering-*.f64
2 966×+-lowering-+.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))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) a) (/.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 (- (+ (* 1/2 (/ 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))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (*.f64 a (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 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))) (+.f64 (*.f64 #s(literal -3/2 binary64) a) #s(literal -1 binary64)))))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 (*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))) (*.f64 a (+.f64 (*.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 (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))))))))) (*.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) a) #s(literal -1 binary64)))))))
(/ (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))))
(+.f64 (*.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 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)))))
(+ (* 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))))
(+.f64 (*.f64 (-.f64 (*.f64 b (+.f64 (*.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 #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 2 binary64))) (+.f64 (*.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))))
(+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 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)))))
(+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 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 (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) (+.f64 (exp.f64 a) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 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))))
(+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 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)

eval49.0ms (0.6%)

Memory
-43.5MiB live, 86.4MiB allocated
Compiler

Compiled 11 385 to 1 194 computations (89.5% saved)

prune44.0ms (0.5%)

Memory
11.0MiB live, 89.8MiB allocated
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New4094413
Fresh000
Picked101
Done000
Total4104414
Accuracy
99.7%
Counts
414 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.9%
(/.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (*.f64 (exp.f64 a) (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))
93.8%
(/.f64 (exp.f64 a) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64))))))))
68.1%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
78.6%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
Compiler

Compiled 67 to 45 computations (32.8% saved)

simplify313.0ms (3.6%)

Memory
6.6MiB live, 319.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(exp.f64 (*.f64 a #s(literal 3 binary64)))
cost-diff0
(+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (*.f64 (exp.f64 a) (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b)))))
cost-diff0
(/.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (*.f64 (exp.f64 a) (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))
cost-diff6272
(*.f64 (exp.f64 a) (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))))
cost-diff0
(+.f64 #s(literal 1 binary64) (exp.f64 b))
cost-diff0
(+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))))
cost-diff0
(exp.f64 a)
cost-diff0
(/.f64 (exp.f64 a) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64))))))))
cost-diff0
(+.f64 (exp.f64 a) #s(literal 1 binary64))
cost-diff0
(exp.f64 a)
cost-diff0
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
cost-diff0
(exp.f64 b)
cost-diff0
(+.f64 #s(literal 1 binary64) (exp.f64 b))
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
Rules
8 850×accelerator-lowering-fma.f32
8 850×accelerator-lowering-fma.f64
2 416×*-lowering-*.f32
2 416×*-lowering-*.f64
1 654×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033220
171216
2155213
3353213
4608213
5903213
61316213
71925213
83303213
95021213
107361213
08033199
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ 1 (+ 1 (exp b)))
1
(+ 1 (exp b))
(exp b)
b
(/ (exp a) (+ (exp a) 1))
(exp a)
a
(+ (exp a) 1)
1
(/ (exp a) (+ (+ 1 (exp b)) (* a (+ 1 (* a (+ 1/2 (* a 1/6)))))))
(exp a)
a
(+ (+ 1 (exp b)) (* a (+ 1 (* a (+ 1/2 (* a 1/6))))))
(+ 1 (exp b))
1
(exp b)
b
(* a (+ 1 (* a (+ 1/2 (* a 1/6)))))
(+ 1 (* a (+ 1/2 (* a 1/6))))
(* a (+ 1/2 (* a 1/6)))
(+ 1/2 (* a 1/6))
1/2
(* a 1/6)
1/6
(/ (+ (exp (* a 3)) (* (exp a) (- (exp (* b 2)) (exp (+ a b))))) (+ (exp (* a 3)) (exp (* b 3))))
(+ (exp (* a 3)) (* (exp a) (- (exp (* b 2)) (exp (+ a b)))))
(exp (* a 3))
(* a 3)
a
3
(* (exp a) (- (exp (* b 2)) (exp (+ a b))))
(exp a)
(- (exp (* b 2)) (exp (+ a b)))
(exp (* b 2))
(* b 2)
b
2
(exp (+ a b))
(+ a b)
(+ (exp (* a 3)) (exp (* b 3)))
(exp (* b 3))
(* b 3)
Outputs
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
1
#s(literal 1 binary64)
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(exp b)
(exp.f64 b)
b
(/ (exp a) (+ (exp a) 1))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(exp a)
(exp.f64 a)
a
(+ (exp a) 1)
(+.f64 #s(literal 1 binary64) (exp.f64 a))
1
#s(literal 1 binary64)
(/ (exp a) (+ (+ 1 (exp b)) (* a (+ 1 (* a (+ 1/2 (* a 1/6)))))))
(/.f64 (exp.f64 a) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64))))))))
(exp a)
(exp.f64 a)
a
(+ (+ 1 (exp b)) (* a (+ 1 (* a (+ 1/2 (* a 1/6))))))
(+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
1
#s(literal 1 binary64)
(exp b)
(exp.f64 b)
b
(* a (+ 1 (* a (+ 1/2 (* a 1/6)))))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64))))))
(+ 1 (* a (+ 1/2 (* a 1/6))))
(+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))
(* a (+ 1/2 (* a 1/6)))
(*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64))))
(+ 1/2 (* a 1/6))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))
1/2
#s(literal 1/2 binary64)
(* a 1/6)
(*.f64 a #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
(/ (+ (exp (* a 3)) (* (exp a) (- (exp (* b 2)) (exp (+ a b))))) (+ (exp (* a 3)) (exp (* b 3))))
(/.f64 (+.f64 (exp.f64 (+.f64 a (*.f64 b #s(literal 2 binary64)))) (-.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (+.f64 b (*.f64 a #s(literal 2 binary64)))))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))
(+ (exp (* a 3)) (* (exp a) (- (exp (* b 2)) (exp (+ a b)))))
(+.f64 (exp.f64 (+.f64 a (*.f64 b #s(literal 2 binary64)))) (-.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (+.f64 b (*.f64 a #s(literal 2 binary64))))))
(exp (* a 3))
(exp.f64 (*.f64 a #s(literal 3 binary64)))
(* a 3)
(*.f64 a #s(literal 3 binary64))
a
3
#s(literal 3 binary64)
(* (exp a) (- (exp (* b 2)) (exp (+ a b))))
(-.f64 (exp.f64 (+.f64 a (*.f64 b #s(literal 2 binary64)))) (exp.f64 (+.f64 b (*.f64 a #s(literal 2 binary64)))))
(exp a)
(exp.f64 a)
(- (exp (* b 2)) (exp (+ a b)))
(-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 b a)))
(exp (* b 2))
(exp.f64 (*.f64 b #s(literal 2 binary64)))
(* b 2)
(*.f64 b #s(literal 2 binary64))
b
2
#s(literal 2 binary64)
(exp (+ a b))
(exp.f64 (+.f64 b a))
(+ a b)
(+.f64 b a)
(+ (exp (* a 3)) (exp (* b 3)))
(+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))
(exp (* b 3))
(exp.f64 (*.f64 b #s(literal 3 binary64)))
(* b 3)
(*.f64 b #s(literal 3 binary64))

localize141.0ms (1.6%)

Memory
6.5MiB live, 204.7MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(exp.f64 (*.f64 a #s(literal 3 binary64)))
accuracy99.7%
(+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (*.f64 (exp.f64 a) (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b)))))
accuracy98.8%
(/.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (*.f64 (exp.f64 a) (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))
accuracy66.9%
(-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b)))
accuracy100.0%
(+.f64 #s(literal 1 binary64) (exp.f64 b))
accuracy100.0%
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64))))))
accuracy100.0%
(*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64))))
accuracy99.6%
(*.f64 a #s(literal 1/6 binary64))
accuracy100.0%
(exp.f64 a)
accuracy100.0%
(+.f64 (exp.f64 a) #s(literal 1 binary64))
accuracy99.6%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
accuracy100.0%
(exp.f64 b)
accuracy100.0%
(+.f64 #s(literal 1 binary64) (exp.f64 b))
Samples
39.0ms71×1valid
27.0ms114×0valid
13.0ms56×0exit
13.0ms15×2valid
Compiler

Compiled 222 to 35 computations (84.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 65.0ms
ival-exp: 20.0ms (30.8% of total)
ival-mult: 14.0ms (21.6% of total)
ival-add: 12.0ms (18.5% of total)
ival-div: 8.0ms (12.3% of total)
adjust: 4.0ms (6.2% of total)
const: 4.0ms (6.2% of total)
ival-sub: 2.0ms (3.1% of total)
exact: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series33.0ms (0.4%)

Memory
8.1MiB live, 46.1MiB allocated
Counts
16 → 264
Calls
Call 1
Inputs
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (+ 1 (exp b))>
#<alt (exp b)>
#<alt (/ (exp a) (+ (exp a) 1))>
#<alt (exp a)>
#<alt (+ (exp a) 1)>
#<alt (/ (exp a) (+ (+ 1 (exp b)) (* a (+ 1 (* a (+ 1/2 (* a 1/6)))))))>
#<alt (+ (+ 1 (exp b)) (* a (+ 1 (* a (+ 1/2 (* a 1/6))))))>
#<alt (* (exp a) (- (exp (* b 2)) (exp (+ a b))))>
#<alt (/ (+ (exp (* a 3)) (* (exp a) (- (exp (* b 2)) (exp (+ a b))))) (+ (exp (* a 3)) (exp (* b 3))))>
#<alt (+ (exp (* a 3)) (* (exp a) (- (exp (* b 2)) (exp (+ a b)))))>
#<alt (exp (* a 3))>
#<alt (* a 1/6)>
#<alt (* a (+ 1/2 (* a 1/6)))>
#<alt (* a (+ 1 (* a (+ 1/2 (* a 1/6)))))>
#<alt (- (exp (* b 2)) (exp (+ a b)))>
Outputs
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 b))>
#<alt (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))>
#<alt (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt 2>
#<alt (+ 2 b)>
#<alt (+ 2 (* b (+ 1 (* 1/2 b))))>
#<alt (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (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 1/2>
#<alt (+ 1/2 (* 1/4 a))>
#<alt (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))>
#<alt (+ 1/2 (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))))>
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt (/ (exp a) (+ 1 (exp a)))>
#<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 2>
#<alt (+ 2 a)>
#<alt (+ 2 (* a (+ 1 (* 1/2 a))))>
#<alt (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (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 (* 6 (/ (exp a) (pow a 3)))>
#<alt (/ (+ (* -18 (/ (exp a) a)) (* 6 (exp a))) (pow a 3))>
#<alt (/ (- (+ (* -1 (/ (+ (* -54 (exp a)) (* 36 (exp a))) (pow a 2))) (* 6 (exp a))) (* 18 (/ (exp a) a))) (pow a 3))>
#<alt (/ (- (+ (* -1 (/ (+ (* -108 (exp a)) (+ (* -3 (+ (* -54 (exp a)) (* 36 (exp a)))) (* 36 (* (exp a) (+ 1 (exp b)))))) (pow a 3))) (* 6 (exp a))) (+ (* -54 (/ (exp a) (pow a 2))) (+ (* 18 (/ (exp a) a)) (* 36 (/ (exp a) (pow a 2)))))) (pow a 3))>
#<alt (* 6 (/ (exp a) (pow a 3)))>
#<alt (* -1 (/ (+ (* -6 (exp a)) (* 18 (/ (exp a) a))) (pow a 3)))>
#<alt (* -1 (/ (+ (* -6 (exp a)) (* -1 (/ (- (+ (* -36 (/ (exp a) a)) (* 54 (/ (exp a) a))) (* 18 (exp a))) a))) (pow a 3)))>
#<alt (* -1 (/ (+ (* -6 (exp a)) (* -1 (/ (- (* -1 (/ (- (+ (* -108 (/ (exp a) a)) (+ (* 3 (/ (+ (* -36 (exp a)) (* 54 (exp a))) a)) (* 36 (/ (* (exp a) (+ 1 (exp b))) a)))) (+ (* -36 (exp a)) (* 54 (exp a)))) a)) (* 18 (exp a))) a))) (pow a 3)))>
#<alt (/ (exp a) (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))>
#<alt (+ (* -1 (/ (* b (exp a)) (pow (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) 2))) (/ (exp a) (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))>
#<alt (+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) 3))) (* 1/2 (/ (exp a) (pow (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) 2)))))) (/ (exp a) (pow (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) 2)))) (/ (exp a) (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))>
#<alt (+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) 3))) (* 1/2 (/ (exp a) (pow (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) 2)))) (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))) (+ (* -1/2 (/ (exp a) (pow (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) 3))) (* 1/6 (/ (exp a) (pow (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) 3))) (* 1/2 (/ (exp a) (pow (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) 2)))))) (/ (exp a) (pow (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) 2)))) (/ (exp a) (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))>
#<alt (/ (exp a) (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))>
#<alt (/ (exp a) (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))>
#<alt (/ (exp a) (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))>
#<alt (/ (exp a) (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))>
#<alt (/ (exp a) (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))>
#<alt (/ (exp a) (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))>
#<alt (/ (exp a) (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))>
#<alt (/ (exp a) (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))>
#<alt (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))>
#<alt (+ 2 (+ b (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))>
#<alt (+ 2 (+ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (* b (+ 1 (* 1/2 b)))))>
#<alt (+ 2 (+ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 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 (* 1/6 (pow a 3))>
#<alt (* (pow a 3) (+ 1/6 (* 1/2 (/ 1 a))))>
#<alt (* (pow a 3) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2)))))>
#<alt (* (pow a 3) (+ 1/6 (+ (* 1/2 (/ 1 a)) (+ (/ 1 (pow a 2)) (+ (/ 1 (pow a 3)) (/ (exp b) (pow a 3)))))))>
#<alt (* 1/6 (pow a 3))>
#<alt (* (pow a 3) (+ 1/6 (* 1/2 (/ 1 a))))>
#<alt (* -1 (* (pow a 3) (- (* -1 (/ (+ 1/2 (/ 1 a)) a)) 1/6)))>
#<alt (* -1 (* (pow a 3) (- (* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp b)) a)) 1) a))) a)) 1/6)))>
#<alt (- (exp (* 2 b)) (exp b))>
#<alt (- (+ (exp (* 2 b)) (* a (- (+ (exp (* 2 b)) (* -1 (exp b))) (exp b)))) (exp b))>
#<alt (- (+ (exp (* 2 b)) (* a (- (+ (exp (* 2 b)) (+ (* -1 (exp b)) (* a (+ (* -1 (exp b)) (+ (* -1/2 (exp b)) (* 1/2 (- (exp (* 2 b)) (exp b)))))))) (exp b)))) (exp b))>
#<alt (- (+ (exp (* 2 b)) (* a (- (+ (exp (* 2 b)) (+ (* -1 (exp b)) (* a (+ (* -1 (exp b)) (+ (* -1/2 (exp b)) (+ (* 1/2 (- (exp (* 2 b)) (exp b))) (* a (+ (* -1 (exp b)) (+ (* -1/6 (exp b)) (* 1/6 (- (exp (* 2 b)) (exp b)))))))))))) (exp b)))) (exp b))>
#<alt (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))>
#<alt (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))>
#<alt (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))>
#<alt (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))>
#<alt (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a)))))>
#<alt (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a)))))>
#<alt (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a)))))>
#<alt (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a)))))>
#<alt (* (exp a) (- 1 (exp a)))>
#<alt (+ (* b (* (exp a) (- 2 (exp a)))) (* (exp a) (- 1 (exp a))))>
#<alt (+ (* b (+ (* b (* (exp a) (- 2 (* 1/2 (exp a))))) (* (exp a) (- 2 (exp a))))) (* (exp a) (- 1 (exp a))))>
#<alt (+ (* b (+ (* b (+ (* b (* (exp a) (- 4/3 (* 1/6 (exp a))))) (* (exp a) (- 2 (* 1/2 (exp a)))))) (* (exp a) (- 2 (exp a))))) (* (exp a) (- 1 (exp a))))>
#<alt (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))>
#<alt (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))>
#<alt (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))>
#<alt (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))>
#<alt (* (exp a) (- (exp (* 2 b)) (exp (- a (* -1 b)))))>
#<alt (* (exp a) (- (exp (* 2 b)) (exp (- a (* -1 b)))))>
#<alt (* (exp a) (- (exp (* 2 b)) (exp (- a (* -1 b)))))>
#<alt (* (exp a) (- (exp (* 2 b)) (exp (- a (* -1 b)))))>
#<alt (/ (- (+ 1 (exp (* 2 b))) (exp b)) (+ 1 (exp (* 3 b))))>
#<alt (- (+ (* a (- (+ (* -1 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 3 (/ 1 (+ 1 (exp (* 3 b))))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b)))))) (+ (* 3 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2))) (/ (exp b) (+ 1 (exp (* 3 b))))))) (+ (/ 1 (+ 1 (exp (* 3 b)))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b)))))) (/ (exp b) (+ 1 (exp (* 3 b)))))>
#<alt (- (+ (* a (- (+ (* -1 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 3 (/ 1 (+ 1 (exp (* 3 b))))) (+ (* a (- (+ (* -1 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* -1/2 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 1/2 (/ (- (exp (* 2 b)) (exp b)) (+ 1 (exp (* 3 b))))) (* 9/2 (/ 1 (+ 1 (exp (* 3 b)))))))) (+ (* 3 (/ (- (+ (* -1 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 3 (/ 1 (+ 1 (exp (* 3 b))))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b)))))) (+ (* 3 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2))) (/ (exp b) (+ 1 (exp (* 3 b)))))) (+ 1 (exp (* 3 b))))) (* 9/2 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2)))))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b))))))) (+ (* 3 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2))) (/ (exp b) (+ 1 (exp (* 3 b))))))) (+ (/ 1 (+ 1 (exp (* 3 b)))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b)))))) (/ (exp b) (+ 1 (exp (* 3 b)))))>
#<alt (- (+ (* a (- (+ (* -1 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 3 (/ 1 (+ 1 (exp (* 3 b))))) (+ (* a (- (+ (* -1 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* -1/2 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 1/2 (/ (- (exp (* 2 b)) (exp b)) (+ 1 (exp (* 3 b))))) (+ (* 9/2 (/ 1 (+ 1 (exp (* 3 b))))) (* a (- (+ (* -1 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* -1/6 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 1/6 (/ (- (exp (* 2 b)) (exp b)) (+ 1 (exp (* 3 b))))) (* 9/2 (/ 1 (+ 1 (exp (* 3 b)))))))) (+ (* 3 (/ (- (+ (* -1 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* -1/2 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 1/2 (/ (- (exp (* 2 b)) (exp b)) (+ 1 (exp (* 3 b))))) (* 9/2 (/ 1 (+ 1 (exp (* 3 b)))))))) (+ (* 3 (/ (- (+ (* -1 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 3 (/ 1 (+ 1 (exp (* 3 b))))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b)))))) (+ (* 3 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2))) (/ (exp b) (+ 1 (exp (* 3 b)))))) (+ 1 (exp (* 3 b))))) (* 9/2 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2))))) (+ 1 (exp (* 3 b))))) (+ (* 9/2 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2))) (* 9/2 (/ (- (+ (* -1 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 3 (/ 1 (+ 1 (exp (* 3 b))))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b)))))) (+ (* 3 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2))) (/ (exp b) (+ 1 (exp (* 3 b)))))) (+ 1 (exp (* 3 b))))))))))))) (+ (* 3 (/ (- (+ (* -1 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 3 (/ 1 (+ 1 (exp (* 3 b))))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b)))))) (+ (* 3 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2))) (/ (exp b) (+ 1 (exp (* 3 b)))))) (+ 1 (exp (* 3 b))))) (* 9/2 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2)))))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b))))))) (+ (* 3 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2))) (/ (exp b) (+ 1 (exp (* 3 b))))))) (+ (/ 1 (+ 1 (exp (* 3 b)))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b)))))) (/ (exp b) (+ 1 (exp (* 3 b)))))>
#<alt (/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) (+ (exp (* 3 a)) (exp (* 3 b))))>
#<alt (/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) (+ (exp (* 3 a)) (exp (* 3 b))))>
#<alt (/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) (+ (exp (* 3 a)) (exp (* 3 b))))>
#<alt (/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) (+ (exp (* 3 a)) (exp (* 3 b))))>
#<alt (/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a)))))) (+ (exp (* 3 a)) (exp (* 3 b))))>
#<alt (/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a)))))) (+ (exp (* 3 a)) (exp (* 3 b))))>
#<alt (/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a)))))) (+ (exp (* 3 a)) (exp (* 3 b))))>
#<alt (/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a)))))) (+ (exp (* 3 a)) (exp (* 3 b))))>
#<alt (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (+ 1 (exp (* 3 a))))>
#<alt (+ (* b (- (/ (* (exp a) (- 2 (exp a))) (+ 1 (exp (* 3 a)))) (* 3 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2))))) (+ (/ (exp (* 3 a)) (+ 1 (exp (* 3 a)))) (/ (* (exp a) (- 1 (exp a))) (+ 1 (exp (* 3 a))))))>
#<alt (+ (* b (- (+ (* b (- (/ (* (exp a) (- 2 (* 1/2 (exp a)))) (+ 1 (exp (* 3 a)))) (+ (* 3 (/ (- (/ (* (exp a) (- 2 (exp a))) (+ 1 (exp (* 3 a)))) (* 3 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2)))) (+ 1 (exp (* 3 a))))) (* 9/2 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2)))))) (/ (* (exp a) (- 2 (exp a))) (+ 1 (exp (* 3 a))))) (* 3 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2))))) (+ (/ (exp (* 3 a)) (+ 1 (exp (* 3 a)))) (/ (* (exp a) (- 1 (exp a))) (+ 1 (exp (* 3 a))))))>
#<alt (+ (* b (- (+ (* b (- (+ (* b (- (/ (* (exp a) (- 4/3 (* 1/6 (exp a)))) (+ 1 (exp (* 3 a)))) (+ (* 3 (/ (- (/ (* (exp a) (- 2 (* 1/2 (exp a)))) (+ 1 (exp (* 3 a)))) (+ (* 3 (/ (- (/ (* (exp a) (- 2 (exp a))) (+ 1 (exp (* 3 a)))) (* 3 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2)))) (+ 1 (exp (* 3 a))))) (* 9/2 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2))))) (+ 1 (exp (* 3 a))))) (+ (* 9/2 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2))) (* 9/2 (/ (- (/ (* (exp a) (- 2 (exp a))) (+ 1 (exp (* 3 a)))) (* 3 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2)))) (+ 1 (exp (* 3 a))))))))) (/ (* (exp a) (- 2 (* 1/2 (exp a)))) (+ 1 (exp (* 3 a))))) (+ (* 3 (/ (- (/ (* (exp a) (- 2 (exp a))) (+ 1 (exp (* 3 a)))) (* 3 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2)))) (+ 1 (exp (* 3 a))))) (* 9/2 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2)))))) (/ (* (exp a) (- 2 (exp a))) (+ 1 (exp (* 3 a))))) (* 3 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2))))) (+ (/ (exp (* 3 a)) (+ 1 (exp (* 3 a)))) (/ (* (exp a) (- 1 (exp a))) (+ 1 (exp (* 3 a))))))>
#<alt (/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) (+ (exp (* 3 a)) (exp (* 3 b))))>
#<alt (/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) (+ (exp (* 3 a)) (exp (* 3 b))))>
#<alt (/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) (+ (exp (* 3 a)) (exp (* 3 b))))>
#<alt (/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) (+ (exp (* 3 a)) (exp (* 3 b))))>
#<alt (/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- a (* -1 b)))))) (+ (exp (* 3 a)) (exp (* 3 b))))>
#<alt (/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- a (* -1 b)))))) (+ (exp (* 3 a)) (exp (* 3 b))))>
#<alt (/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- a (* -1 b)))))) (+ (exp (* 3 a)) (exp (* 3 b))))>
#<alt (/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- a (* -1 b)))))) (+ (exp (* 3 a)) (exp (* 3 b))))>
#<alt (- (+ 1 (exp (* 2 b))) (exp b))>
#<alt (- (+ 1 (+ (exp (* 2 b)) (* a (- (+ 3 (+ (exp (* 2 b)) (* -1 (exp b)))) (exp b))))) (exp b))>
#<alt (- (+ 1 (+ (exp (* 2 b)) (* a (- (+ 3 (+ (exp (* 2 b)) (+ (* -1 (exp b)) (* a (+ 9/2 (+ (* -1 (exp b)) (+ (* -1/2 (exp b)) (* 1/2 (- (exp (* 2 b)) (exp b)))))))))) (exp b))))) (exp b))>
#<alt (- (+ 1 (+ (exp (* 2 b)) (* a (- (+ 3 (+ (exp (* 2 b)) (+ (* -1 (exp b)) (* a (+ 9/2 (+ (* -1 (exp b)) (+ (* -1/2 (exp b)) (+ (* 1/2 (- (exp (* 2 b)) (exp b))) (* a (+ 9/2 (+ (* -1 (exp b)) (+ (* -1/6 (exp b)) (* 1/6 (- (exp (* 2 b)) (exp b))))))))))))))) (exp b))))) (exp b))>
#<alt (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b)))))>
#<alt (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b)))))>
#<alt (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b)))))>
#<alt (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b)))))>
#<alt (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a))))))>
#<alt (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a))))))>
#<alt (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a))))))>
#<alt (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a))))))>
#<alt (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a))))>
#<alt (+ (exp (* 3 a)) (+ (* b (* (exp a) (- 2 (exp a)))) (* (exp a) (- 1 (exp a)))))>
#<alt (+ (exp (* 3 a)) (+ (* b (+ (* b (* (exp a) (- 2 (* 1/2 (exp a))))) (* (exp a) (- 2 (exp a))))) (* (exp a) (- 1 (exp a)))))>
#<alt (+ (exp (* 3 a)) (+ (* b (+ (* b (+ (* b (* (exp a) (- 4/3 (* 1/6 (exp a))))) (* (exp a) (- 2 (* 1/2 (exp a)))))) (* (exp a) (- 2 (exp a))))) (* (exp a) (- 1 (exp a)))))>
#<alt (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b)))))>
#<alt (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b)))))>
#<alt (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b)))))>
#<alt (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b)))))>
#<alt (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- a (* -1 b))))))>
#<alt (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- a (* -1 b))))))>
#<alt (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- a (* -1 b))))))>
#<alt (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- a (* -1 b))))))>
#<alt 1>
#<alt (+ 1 (* 3 a))>
#<alt (+ 1 (* a (+ 3 (* 9/2 a))))>
#<alt (+ 1 (* a (+ 3 (* a (+ 9/2 (* 9/2 a))))))>
#<alt (exp (* 3 a))>
#<alt (exp (* 3 a))>
#<alt (exp (* 3 a))>
#<alt (exp (* 3 a))>
#<alt (exp (* 3 a))>
#<alt (exp (* 3 a))>
#<alt (exp (* 3 a))>
#<alt (exp (* 3 a))>
#<alt (* 1/6 a)>
#<alt (* 1/6 a)>
#<alt (* 1/6 a)>
#<alt (* 1/6 a)>
#<alt (* 1/6 a)>
#<alt (* 1/6 a)>
#<alt (* 1/6 a)>
#<alt (* 1/6 a)>
#<alt (* 1/6 a)>
#<alt (* 1/6 a)>
#<alt (* 1/6 a)>
#<alt (* 1/6 a)>
#<alt (* 1/2 a)>
#<alt (* a (+ 1/2 (* 1/6 a)))>
#<alt (* a (+ 1/2 (* 1/6 a)))>
#<alt (* a (+ 1/2 (* 1/6 a)))>
#<alt (* 1/6 (pow a 2))>
#<alt (* (pow a 2) (+ 1/6 (* 1/2 (/ 1 a))))>
#<alt (* (pow a 2) (+ 1/6 (* 1/2 (/ 1 a))))>
#<alt (* (pow a 2) (+ 1/6 (* 1/2 (/ 1 a))))>
#<alt (* 1/6 (pow a 2))>
#<alt (* (pow a 2) (+ 1/6 (* 1/2 (/ 1 a))))>
#<alt (* (pow a 2) (+ 1/6 (* 1/2 (/ 1 a))))>
#<alt (* (pow a 2) (+ 1/6 (* 1/2 (/ 1 a))))>
#<alt a>
#<alt (* a (+ 1 (* 1/2 a)))>
#<alt (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))>
#<alt (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))>
#<alt (* 1/6 (pow a 3))>
#<alt (* (pow a 3) (+ 1/6 (* 1/2 (/ 1 a))))>
#<alt (* (pow a 3) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2)))))>
#<alt (* (pow a 3) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2)))))>
#<alt (* 1/6 (pow a 3))>
#<alt (* (pow a 3) (+ 1/6 (* 1/2 (/ 1 a))))>
#<alt (* -1 (* (pow a 3) (- (* -1 (/ (+ 1/2 (/ 1 a)) a)) 1/6)))>
#<alt (* -1 (* (pow a 3) (- (* -1 (/ (+ 1/2 (/ 1 a)) a)) 1/6)))>
#<alt (- 1 (exp a))>
#<alt (- (+ 1 (* b (- 2 (exp a)))) (exp a))>
#<alt (- (+ 1 (* b (- (+ 2 (* b (- 2 (* 1/2 (exp a))))) (exp a)))) (exp a))>
#<alt (- (+ 1 (* b (- (+ 2 (* b (- (+ 2 (* b (- 4/3 (* 1/6 (exp a))))) (* 1/2 (exp a))))) (exp a)))) (exp a))>
#<alt (- (exp (* 2 b)) (exp (+ a b)))>
#<alt (- (exp (* 2 b)) (exp (+ a b)))>
#<alt (- (exp (* 2 b)) (exp (+ a b)))>
#<alt (- (exp (* 2 b)) (exp (+ a b)))>
#<alt (- (exp (* 2 b)) (exp (- a (* -1 b))))>
#<alt (- (exp (* 2 b)) (exp (- a (* -1 b))))>
#<alt (- (exp (* 2 b)) (exp (- a (* -1 b))))>
#<alt (- (exp (* 2 b)) (exp (- a (* -1 b))))>
#<alt (- (exp (* 2 b)) (exp b))>
#<alt (- (+ (exp (* 2 b)) (* -1 (* a (exp b)))) (exp b))>
#<alt (- (+ (exp (* 2 b)) (* a (- (* -1/2 (* a (exp b))) (exp b)))) (exp b))>
#<alt (- (+ (exp (* 2 b)) (* a (- (* a (- (* -1/6 (* a (exp b))) (* 1/2 (exp b)))) (exp b)))) (exp b))>
#<alt (- (exp (* 2 b)) (exp (+ a b)))>
#<alt (- (exp (* 2 b)) (exp (+ a b)))>
#<alt (- (exp (* 2 b)) (exp (+ a b)))>
#<alt (- (exp (* 2 b)) (exp (+ a b)))>
#<alt (- (exp (* 2 b)) (exp (- b (* -1 a))))>
#<alt (- (exp (* 2 b)) (exp (- b (* -1 a))))>
#<alt (- (exp (* 2 b)) (exp (- b (* -1 a))))>
#<alt (- (exp (* 2 b)) (exp (- b (* -1 a))))>
Calls

66 calls:

TimeVariablePointExpression
5.0ms
a
@0
(/ (+ (exp (* a 3)) (* (exp a) (- (exp (* b 2)) (exp (+ a b))))) (+ (exp (* a 3)) (exp (* b 3))))
4.0ms
b
@-inf
(/ (+ (exp (* a 3)) (* (exp a) (- (exp (* b 2)) (exp (+ a b))))) (+ (exp (* a 3)) (exp (* b 3))))
3.0ms
b
@inf
(/ (exp a) (+ (+ 1 (exp b)) (* a (+ 1 (* a (+ 1/2 (* a 1/6)))))))
1.0ms
b
@0
(/ (+ (exp (* a 3)) (* (exp a) (- (exp (* b 2)) (exp (+ a b))))) (+ (exp (* a 3)) (exp (* b 3))))
1.0ms
b
@inf
(/ 1 (+ 1 (exp b)))

rewrite444.0ms (5.1%)

Memory
30.6MiB live, 650.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 642×accelerator-lowering-fma.f32
4 642×accelerator-lowering-fma.f64
4 254×*-lowering-*.f32
4 254×*-lowering-*.f64
4 042×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033150
1200146
21733146
08607135
Stop Event
iter limit
node limit
Counts
16 → 570
Calls
Call 1
Inputs
(/ 1 (+ 1 (exp b)))
(+ 1 (exp b))
(exp b)
(/ (exp a) (+ (exp a) 1))
(exp a)
(+ (exp a) 1)
(/ (exp a) (+ (+ 1 (exp b)) (* a (+ 1 (* a (+ 1/2 (* a 1/6)))))))
(+ (+ 1 (exp b)) (* a (+ 1 (* a (+ 1/2 (* a 1/6))))))
(* (exp a) (- (exp (* b 2)) (exp (+ a b))))
(/ (+ (exp (* a 3)) (* (exp a) (- (exp (* b 2)) (exp (+ a b))))) (+ (exp (* a 3)) (exp (* b 3))))
(+ (exp (* a 3)) (* (exp a) (- (exp (* b 2)) (exp (+ a b)))))
(exp (* a 3))
(* a 1/6)
(* a (+ 1/2 (* a 1/6)))
(* a (+ 1 (* a (+ 1/2 (* a 1/6)))))
(- (exp (* b 2)) (exp (+ a b)))
Outputs
(exp.f64 (*.f64 (log1p.f64 (exp.f64 b)) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log1p.f64 (exp.f64 b))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.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) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) (expm1.f64 b))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) (expm1.f64 b)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.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) (exp.f64 (*.f64 b #s(literal 2 binary64))))) (pow.f64 (/.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))
(+.f64 (exp.f64 b) #s(literal 1 binary64))
(exp.f64 (neg.f64 (*.f64 (log1p.f64 (exp.f64 b)) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 b))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal 1 binary64)) (/.f64 (/.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 b)))) (/.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 b)))))
(-.f64 (/.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (expm1.f64 b)) (/.f64 #s(literal 1 binary64) (expm1.f64 b)))
(fma.f64 #s(literal 1 binary64) (exp.f64 b) #s(literal 1 binary64))
(fma.f64 (exp.f64 b) #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) (expm1.f64 b))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 2 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) (expm1.f64 b))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 2 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal -1 binary64))
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(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (*.f64 b #s(literal 6 binary64))) (+.f64 (+.f64 (exp.f64 (*.f64 b #s(literal 4 binary64))) (exp.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64)))) (exp.f64 (+.f64 (*.f64 b #s(literal 2 binary64)) (+.f64 b a))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (*.f64 (+.f64 b a) #s(literal 3 binary64))) (+.f64 (+.f64 (exp.f64 (*.f64 b #s(literal 4 binary64))) (exp.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64)))) (exp.f64 (+.f64 (*.f64 b #s(literal 2 binary64)) (+.f64 b a))))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (exp.f64 (*.f64 b #s(literal 6 binary64))) (+.f64 (+.f64 (exp.f64 (*.f64 b #s(literal 4 binary64))) (exp.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64)))) (exp.f64 (+.f64 (*.f64 b #s(literal 2 binary64)) (+.f64 b a))))) (/.f64 (exp.f64 (*.f64 b #s(literal 6 binary64))) (+.f64 (+.f64 (exp.f64 (*.f64 b #s(literal 4 binary64))) (exp.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64)))) (exp.f64 (+.f64 (*.f64 b #s(literal 2 binary64)) (+.f64 b a)))))) (+.f64 (*.f64 (/.f64 (exp.f64 (*.f64 (+.f64 b a) #s(literal 3 binary64))) (+.f64 (+.f64 (exp.f64 (*.f64 b #s(literal 4 binary64))) (exp.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64)))) (exp.f64 (+.f64 (*.f64 b #s(literal 2 binary64)) (+.f64 b a))))) (/.f64 (exp.f64 (*.f64 (+.f64 b a) #s(literal 3 binary64))) (+.f64 (+.f64 (exp.f64 (*.f64 b #s(literal 4 binary64))) (exp.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64)))) (exp.f64 (+.f64 (*.f64 b #s(literal 2 binary64)) (+.f64 b a)))))) (*.f64 (/.f64 (exp.f64 (*.f64 b #s(literal 6 binary64))) (+.f64 (+.f64 (exp.f64 (*.f64 b #s(literal 4 binary64))) (exp.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64)))) (exp.f64 (+.f64 (*.f64 b #s(literal 2 binary64)) (+.f64 b a))))) (/.f64 (exp.f64 (*.f64 (+.f64 b a) #s(literal 3 binary64))) (+.f64 (+.f64 (exp.f64 (*.f64 b #s(literal 4 binary64))) (exp.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64)))) (exp.f64 (+.f64 (*.f64 b #s(literal 2 binary64)) (+.f64 b a)))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (*.f64 b #s(literal 4 binary64))) (+.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 b a)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))) (+.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 b a)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (exp.f64 (*.f64 b #s(literal 4 binary64))) (+.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 b a)))) (/.f64 (exp.f64 (*.f64 b #s(literal 4 binary64))) (+.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 b a))))) (+.f64 (*.f64 (/.f64 (exp.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))) (+.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 b a)))) (/.f64 (exp.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))) (+.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 b a))))) (*.f64 (/.f64 (exp.f64 (*.f64 b #s(literal 4 binary64))) (+.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 b a)))) (/.f64 (exp.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))) (+.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 b a))))))))
(pow.f64 (/.f64 (+.f64 (+.f64 (exp.f64 (*.f64 b #s(literal 4 binary64))) (exp.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64)))) (exp.f64 (+.f64 (*.f64 b #s(literal 2 binary64)) (+.f64 b a)))) (-.f64 (exp.f64 (*.f64 b #s(literal 6 binary64))) (exp.f64 (*.f64 (+.f64 b a) #s(literal 3 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 b a))) (-.f64 (exp.f64 (*.f64 b #s(literal 4 binary64))) (exp.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))))) #s(literal -1 binary64))
(*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))
(*.f64 (-.f64 (exp.f64 (*.f64 b #s(literal 6 binary64))) (exp.f64 (*.f64 (+.f64 b a) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (exp.f64 (*.f64 b #s(literal 4 binary64))) (exp.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64)))) (exp.f64 (+.f64 (*.f64 b #s(literal 2 binary64)) (+.f64 b a))))))
(*.f64 (-.f64 (exp.f64 (*.f64 b #s(literal 4 binary64))) (exp.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 b a)))))
(*.f64 (/.f64 (+.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 b a))) (exp.f64 b)) (/.f64 (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 b a))) (+.f64 (exp.f64 b) (exp.f64 a))))

simplify709.0ms (8.2%)

Memory
-139.5MiB live, 767.5MiB allocated
Algorithm
egg-herbie
Rules
8 812×accelerator-lowering-fma.f32
8 812×accelerator-lowering-fma.f64
4 962×*-lowering-*.f32
4 962×*-lowering-*.f64
4 236×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05375029
115934853
248484821
080814482
Stop Event
iter limit
node limit
Counts
264 → 264
Calls
Call 1
Inputs
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 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)
1/2
(+ 1/2 (* 1/4 a))
(+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))
(+ 1/2 (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))))
(/ (exp a) (+ 1 (exp a)))
(/ (exp a) (+ 1 (exp a)))
(/ (exp a) (+ 1 (exp a)))
(/ (exp a) (+ 1 (exp a)))
(/ (exp a) (+ 1 (exp a)))
(/ (exp a) (+ 1 (exp a)))
(/ (exp a) (+ 1 (exp a)))
(/ (exp a) (+ 1 (exp a)))
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)
2
(+ 2 a)
(+ 2 (* a (+ 1 (* 1/2 a))))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp 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))))
(* 6 (/ (exp a) (pow a 3)))
(/ (+ (* -18 (/ (exp a) a)) (* 6 (exp a))) (pow a 3))
(/ (- (+ (* -1 (/ (+ (* -54 (exp a)) (* 36 (exp a))) (pow a 2))) (* 6 (exp a))) (* 18 (/ (exp a) a))) (pow a 3))
(/ (- (+ (* -1 (/ (+ (* -108 (exp a)) (+ (* -3 (+ (* -54 (exp a)) (* 36 (exp a)))) (* 36 (* (exp a) (+ 1 (exp b)))))) (pow a 3))) (* 6 (exp a))) (+ (* -54 (/ (exp a) (pow a 2))) (+ (* 18 (/ (exp a) a)) (* 36 (/ (exp a) (pow a 2)))))) (pow a 3))
(* 6 (/ (exp a) (pow a 3)))
(* -1 (/ (+ (* -6 (exp a)) (* 18 (/ (exp a) a))) (pow a 3)))
(* -1 (/ (+ (* -6 (exp a)) (* -1 (/ (- (+ (* -36 (/ (exp a) a)) (* 54 (/ (exp a) a))) (* 18 (exp a))) a))) (pow a 3)))
(* -1 (/ (+ (* -6 (exp a)) (* -1 (/ (- (* -1 (/ (- (+ (* -108 (/ (exp a) a)) (+ (* 3 (/ (+ (* -36 (exp a)) (* 54 (exp a))) a)) (* 36 (/ (* (exp a) (+ 1 (exp b))) a)))) (+ (* -36 (exp a)) (* 54 (exp a)))) a)) (* 18 (exp a))) a))) (pow a 3)))
(/ (exp a) (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(+ (* -1 (/ (* b (exp a)) (pow (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) 2))) (/ (exp a) (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) 3))) (* 1/2 (/ (exp a) (pow (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) 2)))))) (/ (exp a) (pow (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) 2)))) (/ (exp a) (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) 3))) (* 1/2 (/ (exp a) (pow (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) 2)))) (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))) (+ (* -1/2 (/ (exp a) (pow (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) 3))) (* 1/6 (/ (exp a) (pow (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) 3))) (* 1/2 (/ (exp a) (pow (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) 2)))))) (/ (exp a) (pow (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) 2)))) (/ (exp a) (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
(/ (exp a) (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
(/ (exp a) (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
(/ (exp a) (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
(/ (exp a) (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
(/ (exp a) (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
(/ (exp a) (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
(/ (exp a) (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
(/ (exp a) (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(+ 2 (+ b (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(+ 2 (+ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (* b (+ 1 (* 1/2 b)))))
(+ 2 (+ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(+ 1 (exp b))
(+ 1 (+ a (exp b)))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(* 1/6 (pow a 3))
(* (pow a 3) (+ 1/6 (* 1/2 (/ 1 a))))
(* (pow a 3) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2)))))
(* (pow a 3) (+ 1/6 (+ (* 1/2 (/ 1 a)) (+ (/ 1 (pow a 2)) (+ (/ 1 (pow a 3)) (/ (exp b) (pow a 3)))))))
(* 1/6 (pow a 3))
(* (pow a 3) (+ 1/6 (* 1/2 (/ 1 a))))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1/2 (/ 1 a)) a)) 1/6)))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp b)) a)) 1) a))) a)) 1/6)))
(- (exp (* 2 b)) (exp b))
(- (+ (exp (* 2 b)) (* a (- (+ (exp (* 2 b)) (* -1 (exp b))) (exp b)))) (exp b))
(- (+ (exp (* 2 b)) (* a (- (+ (exp (* 2 b)) (+ (* -1 (exp b)) (* a (+ (* -1 (exp b)) (+ (* -1/2 (exp b)) (* 1/2 (- (exp (* 2 b)) (exp b)))))))) (exp b)))) (exp b))
(- (+ (exp (* 2 b)) (* a (- (+ (exp (* 2 b)) (+ (* -1 (exp b)) (* a (+ (* -1 (exp b)) (+ (* -1/2 (exp b)) (+ (* 1/2 (- (exp (* 2 b)) (exp b))) (* a (+ (* -1 (exp b)) (+ (* -1/6 (exp b)) (* 1/6 (- (exp (* 2 b)) (exp b)))))))))))) (exp b)))) (exp b))
(* (exp a) (- (exp (* 2 b)) (exp (+ a b))))
(* (exp a) (- (exp (* 2 b)) (exp (+ a b))))
(* (exp a) (- (exp (* 2 b)) (exp (+ a b))))
(* (exp a) (- (exp (* 2 b)) (exp (+ a b))))
(* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a)))))
(* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a)))))
(* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a)))))
(* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a)))))
(* (exp a) (- 1 (exp a)))
(+ (* b (* (exp a) (- 2 (exp a)))) (* (exp a) (- 1 (exp a))))
(+ (* b (+ (* b (* (exp a) (- 2 (* 1/2 (exp a))))) (* (exp a) (- 2 (exp a))))) (* (exp a) (- 1 (exp a))))
(+ (* b (+ (* b (+ (* b (* (exp a) (- 4/3 (* 1/6 (exp a))))) (* (exp a) (- 2 (* 1/2 (exp a)))))) (* (exp a) (- 2 (exp a))))) (* (exp a) (- 1 (exp a))))
(* (exp a) (- (exp (* 2 b)) (exp (+ a b))))
(* (exp a) (- (exp (* 2 b)) (exp (+ a b))))
(* (exp a) (- (exp (* 2 b)) (exp (+ a b))))
(* (exp a) (- (exp (* 2 b)) (exp (+ a b))))
(* (exp a) (- (exp (* 2 b)) (exp (- a (* -1 b)))))
(* (exp a) (- (exp (* 2 b)) (exp (- a (* -1 b)))))
(* (exp a) (- (exp (* 2 b)) (exp (- a (* -1 b)))))
(* (exp a) (- (exp (* 2 b)) (exp (- a (* -1 b)))))
(/ (- (+ 1 (exp (* 2 b))) (exp b)) (+ 1 (exp (* 3 b))))
(- (+ (* a (- (+ (* -1 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 3 (/ 1 (+ 1 (exp (* 3 b))))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b)))))) (+ (* 3 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2))) (/ (exp b) (+ 1 (exp (* 3 b))))))) (+ (/ 1 (+ 1 (exp (* 3 b)))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b)))))) (/ (exp b) (+ 1 (exp (* 3 b)))))
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(- (+ (* a (- (+ (* -1 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 3 (/ 1 (+ 1 (exp (* 3 b))))) (+ (* a (- (+ (* -1 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* -1/2 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 1/2 (/ (- (exp (* 2 b)) (exp b)) (+ 1 (exp (* 3 b))))) (+ (* 9/2 (/ 1 (+ 1 (exp (* 3 b))))) (* a (- (+ (* -1 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* -1/6 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 1/6 (/ (- (exp (* 2 b)) (exp b)) (+ 1 (exp (* 3 b))))) (* 9/2 (/ 1 (+ 1 (exp (* 3 b)))))))) (+ (* 3 (/ (- (+ (* -1 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* -1/2 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 1/2 (/ (- (exp (* 2 b)) (exp b)) (+ 1 (exp (* 3 b))))) (* 9/2 (/ 1 (+ 1 (exp (* 3 b)))))))) (+ (* 3 (/ (- (+ (* -1 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 3 (/ 1 (+ 1 (exp (* 3 b))))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b)))))) (+ (* 3 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2))) (/ (exp b) (+ 1 (exp (* 3 b)))))) (+ 1 (exp (* 3 b))))) (* 9/2 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2))))) (+ 1 (exp (* 3 b))))) (+ (* 9/2 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2))) (* 9/2 (/ (- (+ (* -1 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 3 (/ 1 (+ 1 (exp (* 3 b))))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b)))))) (+ (* 3 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2))) (/ (exp b) (+ 1 (exp (* 3 b)))))) (+ 1 (exp (* 3 b))))))))))))) (+ (* 3 (/ (- (+ (* -1 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 3 (/ 1 (+ 1 (exp (* 3 b))))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b)))))) (+ (* 3 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2))) (/ (exp b) (+ 1 (exp (* 3 b)))))) (+ 1 (exp (* 3 b))))) (* 9/2 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2)))))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b))))))) (+ (* 3 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2))) (/ (exp b) (+ 1 (exp (* 3 b))))))) (+ (/ 1 (+ 1 (exp (* 3 b)))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b)))))) (/ (exp b) (+ 1 (exp (* 3 b)))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a)))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a)))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a)))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a)))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (+ 1 (exp (* 3 a))))
(+ (* b (- (/ (* (exp a) (- 2 (exp a))) (+ 1 (exp (* 3 a)))) (* 3 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2))))) (+ (/ (exp (* 3 a)) (+ 1 (exp (* 3 a)))) (/ (* (exp a) (- 1 (exp a))) (+ 1 (exp (* 3 a))))))
(+ (* b (- (+ (* b (- (/ (* (exp a) (- 2 (* 1/2 (exp a)))) (+ 1 (exp (* 3 a)))) (+ (* 3 (/ (- (/ (* (exp a) (- 2 (exp a))) (+ 1 (exp (* 3 a)))) (* 3 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2)))) (+ 1 (exp (* 3 a))))) (* 9/2 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2)))))) (/ (* (exp a) (- 2 (exp a))) (+ 1 (exp (* 3 a))))) (* 3 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2))))) (+ (/ (exp (* 3 a)) (+ 1 (exp (* 3 a)))) (/ (* (exp a) (- 1 (exp a))) (+ 1 (exp (* 3 a))))))
(+ (* b (- (+ (* b (- (+ (* b (- (/ (* (exp a) (- 4/3 (* 1/6 (exp a)))) (+ 1 (exp (* 3 a)))) (+ (* 3 (/ (- (/ (* (exp a) (- 2 (* 1/2 (exp a)))) (+ 1 (exp (* 3 a)))) (+ (* 3 (/ (- (/ (* (exp a) (- 2 (exp a))) (+ 1 (exp (* 3 a)))) (* 3 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2)))) (+ 1 (exp (* 3 a))))) (* 9/2 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2))))) (+ 1 (exp (* 3 a))))) (+ (* 9/2 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2))) (* 9/2 (/ (- (/ (* (exp a) (- 2 (exp a))) (+ 1 (exp (* 3 a)))) (* 3 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2)))) (+ 1 (exp (* 3 a))))))))) (/ (* (exp a) (- 2 (* 1/2 (exp a)))) (+ 1 (exp (* 3 a))))) (+ (* 3 (/ (- (/ (* (exp a) (- 2 (exp a))) (+ 1 (exp (* 3 a)))) (* 3 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2)))) (+ 1 (exp (* 3 a))))) (* 9/2 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2)))))) (/ (* (exp a) (- 2 (exp a))) (+ 1 (exp (* 3 a))))) (* 3 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2))))) (+ (/ (exp (* 3 a)) (+ 1 (exp (* 3 a)))) (/ (* (exp a) (- 1 (exp a))) (+ 1 (exp (* 3 a))))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- a (* -1 b)))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- a (* -1 b)))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- a (* -1 b)))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- a (* -1 b)))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(- (+ 1 (exp (* 2 b))) (exp b))
(- (+ 1 (+ (exp (* 2 b)) (* a (- (+ 3 (+ (exp (* 2 b)) (* -1 (exp b)))) (exp b))))) (exp b))
(- (+ 1 (+ (exp (* 2 b)) (* a (- (+ 3 (+ (exp (* 2 b)) (+ (* -1 (exp b)) (* a (+ 9/2 (+ (* -1 (exp b)) (+ (* -1/2 (exp b)) (* 1/2 (- (exp (* 2 b)) (exp b)))))))))) (exp b))))) (exp b))
(- (+ 1 (+ (exp (* 2 b)) (* a (- (+ 3 (+ (exp (* 2 b)) (+ (* -1 (exp b)) (* a (+ 9/2 (+ (* -1 (exp b)) (+ (* -1/2 (exp b)) (+ (* 1/2 (- (exp (* 2 b)) (exp b))) (* a (+ 9/2 (+ (* -1 (exp b)) (+ (* -1/6 (exp b)) (* 1/6 (- (exp (* 2 b)) (exp b))))))))))))))) (exp b))))) (exp b))
(+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b)))))
(+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b)))))
(+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b)))))
(+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b)))))
(+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a))))))
(+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a))))))
(+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a))))))
(+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a))))))
(+ (exp (* 3 a)) (* (exp a) (- 1 (exp a))))
(+ (exp (* 3 a)) (+ (* b (* (exp a) (- 2 (exp a)))) (* (exp a) (- 1 (exp a)))))
(+ (exp (* 3 a)) (+ (* b (+ (* b (* (exp a) (- 2 (* 1/2 (exp a))))) (* (exp a) (- 2 (exp a))))) (* (exp a) (- 1 (exp a)))))
(+ (exp (* 3 a)) (+ (* b (+ (* b (+ (* b (* (exp a) (- 4/3 (* 1/6 (exp a))))) (* (exp a) (- 2 (* 1/2 (exp a)))))) (* (exp a) (- 2 (exp a))))) (* (exp a) (- 1 (exp a)))))
(+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b)))))
(+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b)))))
(+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b)))))
(+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b)))))
(+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- a (* -1 b))))))
(+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- a (* -1 b))))))
(+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- a (* -1 b))))))
(+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- a (* -1 b))))))
1
(+ 1 (* 3 a))
(+ 1 (* a (+ 3 (* 9/2 a))))
(+ 1 (* a (+ 3 (* a (+ 9/2 (* 9/2 a))))))
(exp (* 3 a))
(exp (* 3 a))
(exp (* 3 a))
(exp (* 3 a))
(exp (* 3 a))
(exp (* 3 a))
(exp (* 3 a))
(exp (* 3 a))
(* 1/6 a)
(* 1/6 a)
(* 1/6 a)
(* 1/6 a)
(* 1/6 a)
(* 1/6 a)
(* 1/6 a)
(* 1/6 a)
(* 1/6 a)
(* 1/6 a)
(* 1/6 a)
(* 1/6 a)
(* 1/2 a)
(* a (+ 1/2 (* 1/6 a)))
(* a (+ 1/2 (* 1/6 a)))
(* a (+ 1/2 (* 1/6 a)))
(* 1/6 (pow a 2))
(* (pow a 2) (+ 1/6 (* 1/2 (/ 1 a))))
(* (pow a 2) (+ 1/6 (* 1/2 (/ 1 a))))
(* (pow a 2) (+ 1/6 (* 1/2 (/ 1 a))))
(* 1/6 (pow a 2))
(* (pow a 2) (+ 1/6 (* 1/2 (/ 1 a))))
(* (pow a 2) (+ 1/6 (* 1/2 (/ 1 a))))
(* (pow a 2) (+ 1/6 (* 1/2 (/ 1 a))))
a
(* a (+ 1 (* 1/2 a)))
(* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))
(* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))
(* 1/6 (pow a 3))
(* (pow a 3) (+ 1/6 (* 1/2 (/ 1 a))))
(* (pow a 3) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2)))))
(* (pow a 3) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2)))))
(* 1/6 (pow a 3))
(* (pow a 3) (+ 1/6 (* 1/2 (/ 1 a))))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1/2 (/ 1 a)) a)) 1/6)))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1/2 (/ 1 a)) a)) 1/6)))
(- 1 (exp a))
(- (+ 1 (* b (- 2 (exp a)))) (exp a))
(- (+ 1 (* b (- (+ 2 (* b (- 2 (* 1/2 (exp a))))) (exp a)))) (exp a))
(- (+ 1 (* b (- (+ 2 (* b (- (+ 2 (* b (- 4/3 (* 1/6 (exp a))))) (* 1/2 (exp a))))) (exp a)))) (exp a))
(- (exp (* 2 b)) (exp (+ a b)))
(- (exp (* 2 b)) (exp (+ a b)))
(- (exp (* 2 b)) (exp (+ a b)))
(- (exp (* 2 b)) (exp (+ a b)))
(- (exp (* 2 b)) (exp (- a (* -1 b))))
(- (exp (* 2 b)) (exp (- a (* -1 b))))
(- (exp (* 2 b)) (exp (- a (* -1 b))))
(- (exp (* 2 b)) (exp (- a (* -1 b))))
(- (exp (* 2 b)) (exp b))
(- (+ (exp (* 2 b)) (* -1 (* a (exp b)))) (exp b))
(- (+ (exp (* 2 b)) (* a (- (* -1/2 (* a (exp b))) (exp b)))) (exp b))
(- (+ (exp (* 2 b)) (* a (- (* a (- (* -1/6 (* a (exp b))) (* 1/2 (exp b)))) (exp b)))) (exp b))
(- (exp (* 2 b)) (exp (+ a b)))
(- (exp (* 2 b)) (exp (+ a b)))
(- (exp (* 2 b)) (exp (+ a b)))
(- (exp (* 2 b)) (exp (+ a b)))
(- (exp (* 2 b)) (exp (- b (* -1 a))))
(- (exp (* 2 b)) (exp (- b (* -1 a))))
(- (exp (* 2 b)) (exp (- b (* -1 a))))
(- (exp (* 2 b)) (exp (- b (* -1 a))))
Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 b))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 b (*.f64 b #s(literal 1/48 binary64))))))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/48 binary64) (*.f64 b (*.f64 b #s(literal -1/480 binary64))))))))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
2
#s(literal 2 binary64)
(+ 2 b)
(+.f64 b #s(literal 2 binary64))
(+ 2 (* b (+ 1 (* 1/2 b))))
(+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
1
#s(literal 1 binary64)
(+ 1 b)
(+.f64 b #s(literal 1 binary64))
(+ 1 (* b (+ 1 (* 1/2 b))))
(+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 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)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 a))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
(+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
(+ 1/2 (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64))))))))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
1
#s(literal 1 binary64)
(+ 1 a)
(+.f64 #s(literal 1 binary64) a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) 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)
(exp a)
(exp.f64 a)
2
#s(literal 2 binary64)
(+ 2 a)
(+.f64 #s(literal 2 binary64) a)
(+ 2 (* a (+ 1 (* 1/2 a))))
(+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a))))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) a))))))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (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))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))))
(+ (* 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))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (*.f64 a (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (*.f64 a (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))))))))
(+ (* 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))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (*.f64 a (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (*.f64 a (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (+.f64 (*.f64 a (-.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (+.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) #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) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))))))) (/.f64 #s(literal -3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))))))))
(* 6 (/ (exp a) (pow a 3)))
(/.f64 (*.f64 (exp.f64 a) #s(literal 6 binary64)) (*.f64 a (*.f64 a a)))
(/ (+ (* -18 (/ (exp a) a)) (* 6 (exp a))) (pow a 3))
(/.f64 (+.f64 (*.f64 (exp.f64 a) #s(literal 6 binary64)) (*.f64 #s(literal -18 binary64) (/.f64 (exp.f64 a) a))) (*.f64 a (*.f64 a a)))
(/ (- (+ (* -1 (/ (+ (* -54 (exp a)) (* 36 (exp a))) (pow a 2))) (* 6 (exp a))) (* 18 (/ (exp a) a))) (pow a 3))
(/.f64 (+.f64 (*.f64 (exp.f64 a) #s(literal 6 binary64)) (/.f64 (*.f64 #s(literal 18 binary64) (-.f64 (/.f64 (exp.f64 a) a) (exp.f64 a))) a)) (*.f64 a (*.f64 a a)))
(/ (- (+ (* -1 (/ (+ (* -108 (exp a)) (+ (* -3 (+ (* -54 (exp a)) (* 36 (exp a)))) (* 36 (* (exp a) (+ 1 (exp b)))))) (pow a 3))) (* 6 (exp a))) (+ (* -54 (/ (exp a) (pow a 2))) (+ (* 18 (/ (exp a) a)) (* 36 (/ (exp a) (pow a 2)))))) (pow a 3))
(/.f64 (+.f64 (-.f64 (*.f64 (exp.f64 a) #s(literal 6 binary64)) (/.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 (exp.f64 a) #s(literal 36 binary64))) (+.f64 (*.f64 (exp.f64 a) #s(literal -108 binary64)) (*.f64 (exp.f64 a) #s(literal 54 binary64)))) (*.f64 a (*.f64 a a)))) (-.f64 (*.f64 (/.f64 (/.f64 (exp.f64 a) a) a) #s(literal 54 binary64)) (+.f64 (*.f64 (/.f64 (exp.f64 a) a) #s(literal 18 binary64)) (/.f64 (*.f64 (exp.f64 a) #s(literal 36 binary64)) (*.f64 a a))))) (*.f64 a (*.f64 a a)))
(* 6 (/ (exp a) (pow a 3)))
(/.f64 (*.f64 (exp.f64 a) #s(literal 6 binary64)) (*.f64 a (*.f64 a a)))
(* -1 (/ (+ (* -6 (exp a)) (* 18 (/ (exp a) a))) (pow a 3)))
(/.f64 (+.f64 (*.f64 (/.f64 (exp.f64 a) a) #s(literal 18 binary64)) (*.f64 (exp.f64 a) #s(literal -6 binary64))) (*.f64 a (-.f64 #s(literal 0 binary64) (*.f64 a a))))
(* -1 (/ (+ (* -6 (exp a)) (* -1 (/ (- (+ (* -36 (/ (exp a) a)) (* 54 (/ (exp a) a))) (* 18 (exp a))) a))) (pow a 3)))
(/.f64 (-.f64 (*.f64 (exp.f64 a) #s(literal -6 binary64)) (/.f64 (*.f64 #s(literal 18 binary64) (-.f64 (/.f64 (exp.f64 a) a) (exp.f64 a))) a)) (*.f64 a (-.f64 #s(literal 0 binary64) (*.f64 a a))))
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(exp.f64 (*.f64 a #s(literal 3 binary64)))
(exp (* 3 a))
(exp.f64 (*.f64 a #s(literal 3 binary64)))
(exp (* 3 a))
(exp.f64 (*.f64 a #s(literal 3 binary64)))
(* 1/6 a)
(*.f64 #s(literal 1/6 binary64) a)
(* 1/6 a)
(*.f64 #s(literal 1/6 binary64) a)
(* 1/6 a)
(*.f64 #s(literal 1/6 binary64) a)
(* 1/6 a)
(*.f64 #s(literal 1/6 binary64) a)
(* 1/6 a)
(*.f64 #s(literal 1/6 binary64) a)
(* 1/6 a)
(*.f64 #s(literal 1/6 binary64) a)
(* 1/6 a)
(*.f64 #s(literal 1/6 binary64) a)
(* 1/6 a)
(*.f64 #s(literal 1/6 binary64) a)
(* 1/6 a)
(*.f64 #s(literal 1/6 binary64) a)
(* 1/6 a)
(*.f64 #s(literal 1/6 binary64) a)
(* 1/6 a)
(*.f64 #s(literal 1/6 binary64) a)
(* 1/6 a)
(*.f64 #s(literal 1/6 binary64) a)
(* 1/2 a)
(*.f64 #s(literal 1/2 binary64) a)
(* a (+ 1/2 (* 1/6 a)))
(*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) a)))
(* a (+ 1/2 (* 1/6 a)))
(*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) a)))
(* a (+ 1/2 (* 1/6 a)))
(*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) a)))
(* 1/6 (pow a 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 a a))
(* (pow a 2) (+ 1/6 (* 1/2 (/ 1 a))))
(*.f64 a (*.f64 a (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) a))))
(* (pow a 2) (+ 1/6 (* 1/2 (/ 1 a))))
(*.f64 a (*.f64 a (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) a))))
(* (pow a 2) (+ 1/6 (* 1/2 (/ 1 a))))
(*.f64 a (*.f64 a (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) a))))
(* 1/6 (pow a 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 a a))
(* (pow a 2) (+ 1/6 (* 1/2 (/ 1 a))))
(*.f64 a (*.f64 a (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) a))))
(* (pow a 2) (+ 1/6 (* 1/2 (/ 1 a))))
(*.f64 a (*.f64 a (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) a))))
(* (pow a 2) (+ 1/6 (* 1/2 (/ 1 a))))
(*.f64 a (*.f64 a (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) a))))
a
(* a (+ 1 (* 1/2 a)))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a)))
(* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) a)))))
(* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) a)))))
(* 1/6 (pow a 3))
(*.f64 a (*.f64 #s(literal 1/6 binary64) (*.f64 a a)))
(* (pow a 3) (+ 1/6 (* 1/2 (/ 1 a))))
(*.f64 (*.f64 a a) (*.f64 a (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) a))))
(* (pow a 3) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2)))))
(*.f64 (*.f64 a (*.f64 a a)) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a a)))))
(* (pow a 3) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2)))))
(*.f64 (*.f64 a (*.f64 a a)) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a a)))))
(* 1/6 (pow a 3))
(*.f64 a (*.f64 #s(literal 1/6 binary64) (*.f64 a a)))
(* (pow a 3) (+ 1/6 (* 1/2 (/ 1 a))))
(*.f64 (*.f64 a a) (*.f64 a (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) a))))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1/2 (/ 1 a)) a)) 1/6)))
(*.f64 (*.f64 a (*.f64 a a)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) a)) a))))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1/2 (/ 1 a)) a)) 1/6)))
(*.f64 (*.f64 a (*.f64 a a)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) a)) a))))
(- 1 (exp a))
(-.f64 #s(literal 1 binary64) (exp.f64 a))
(- (+ 1 (* b (- 2 (exp a)))) (exp a))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 b (-.f64 #s(literal 2 binary64) (exp.f64 a))) (exp.f64 a)))
(- (+ 1 (* b (- (+ 2 (* b (- 2 (* 1/2 (exp a))))) (exp a)))) (exp a))
(+.f64 (*.f64 b (+.f64 #s(literal 2 binary64) (-.f64 (*.f64 b (+.f64 #s(literal 2 binary64) (*.f64 (exp.f64 a) #s(literal -1/2 binary64)))) (exp.f64 a)))) (-.f64 #s(literal 1 binary64) (exp.f64 a)))
(- (+ 1 (* b (- (+ 2 (* b (- (+ 2 (* b (- 4/3 (* 1/6 (exp a))))) (* 1/2 (exp a))))) (exp a)))) (exp a))
(+.f64 (*.f64 b (+.f64 (*.f64 b (+.f64 (*.f64 b (+.f64 #s(literal 4/3 binary64) (*.f64 (exp.f64 a) #s(literal -1/6 binary64)))) (+.f64 #s(literal 2 binary64) (*.f64 (exp.f64 a) #s(literal -1/2 binary64))))) (-.f64 #s(literal 2 binary64) (exp.f64 a)))) (-.f64 #s(literal 1 binary64) (exp.f64 a)))
(- (exp (* 2 b)) (exp (+ a b)))
(-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 b a)))
(- (exp (* 2 b)) (exp (+ a b)))
(-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 b a)))
(- (exp (* 2 b)) (exp (+ a b)))
(-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 b a)))
(- (exp (* 2 b)) (exp (+ a b)))
(-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 b a)))
(- (exp (* 2 b)) (exp (- a (* -1 b))))
(-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 b a)))
(- (exp (* 2 b)) (exp (- a (* -1 b))))
(-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 b a)))
(- (exp (* 2 b)) (exp (- a (* -1 b))))
(-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 b a)))
(- (exp (* 2 b)) (exp (- a (* -1 b))))
(-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 b a)))
(- (exp (* 2 b)) (exp b))
(-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 b))
(- (+ (exp (* 2 b)) (* -1 (* a (exp b)))) (exp b))
(-.f64 (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (*.f64 (exp.f64 b) a)) (exp.f64 b))
(- (+ (exp (* 2 b)) (* a (- (* -1/2 (* a (exp b))) (exp b)))) (exp b))
(+.f64 (*.f64 a (*.f64 (exp.f64 b) (+.f64 (*.f64 a #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 b)))
(- (+ (exp (* 2 b)) (* a (- (* a (- (* -1/6 (* a (exp b))) (* 1/2 (exp b)))) (exp b)))) (exp b))
(+.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (-.f64 (*.f64 a (-.f64 (*.f64 a (*.f64 (exp.f64 b) (+.f64 (*.f64 a #s(literal -1/6 binary64)) #s(literal -1/2 binary64)))) (exp.f64 b))) (exp.f64 b)))
(- (exp (* 2 b)) (exp (+ a b)))
(-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 b a)))
(- (exp (* 2 b)) (exp (+ a b)))
(-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 b a)))
(- (exp (* 2 b)) (exp (+ a b)))
(-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 b a)))
(- (exp (* 2 b)) (exp (+ a b)))
(-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 b a)))
(- (exp (* 2 b)) (exp (- b (* -1 a))))
(-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 b a)))
(- (exp (* 2 b)) (exp (- b (* -1 a))))
(-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 b a)))
(- (exp (* 2 b)) (exp (- b (* -1 a))))
(-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 b a)))
(- (exp (* 2 b)) (exp (- b (* -1 a))))
(-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 b a)))

eval127.0ms (1.5%)

Memory
24.7MiB live, 293.7MiB allocated
Compiler

Compiled 38 784 to 3 062 computations (92.1% saved)

prune118.0ms (1.4%)

Memory
-17.9MiB live, 271.6MiB allocated
Pruning

14 alts after pruning (12 fresh and 2 done)

PrunedKeptTotal
New97112983
Fresh000
Picked224
Done000
Total97314987
Accuracy
100.0%
Counts
987 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.0%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) a)))))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64))))))))
68.1%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
66.3%
(/.f64 (exp.f64 a) #s(literal 2 binary64))
56.0%
(/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (*.f64 b #s(literal 2 binary64))) (expm1.f64 b)))
38.1%
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
53.7%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
48.7%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))
78.6%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
38.2%
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/48 binary64) (*.f64 b (*.f64 b #s(literal -1/480 binary64))))))))
37.5%
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 b (*.f64 b #s(literal 1/48 binary64))))))
40.9%
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
41.1%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
38.2%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))
40.3%
#s(literal 1/2 binary64)
Compiler

Compiled 313 to 236 computations (24.6% saved)

simplify58.0ms (0.7%)

Memory
24.7MiB live, 104.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))
cost-diff0
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))
cost-diff0
(+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))
cost-diff0
(*.f64 #s(literal -1/48 binary64) (*.f64 a a))
cost-diff0
(+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))
cost-diff0
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a))))
cost-diff0
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
cost-diff0
(*.f64 #s(literal 1/4 binary64) a)
cost-diff0
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) a))))
cost-diff0
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) a)))))
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) a))))))
cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) a)))))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64))))))))
Rules
2 008×accelerator-lowering-fma.f32
2 008×accelerator-lowering-fma.f64
604×*-lowering-*.f32
604×*-lowering-*.f64
572×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035230
195230
2186230
3361230
4495230
5628230
6632230
7691230
8954230
91147230
01147195
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) (+ (+ 1 (exp b)) (* a (+ 1 (* a (+ 1/2 (* a 1/6)))))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
1
(* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))
a
(+ 1 (* a (+ 1/2 (* 1/6 a))))
(* a (+ 1/2 (* 1/6 a)))
(+ 1/2 (* 1/6 a))
1/2
(* 1/6 a)
1/6
(+ (+ 1 (exp b)) (* a (+ 1 (* a (+ 1/2 (* a 1/6))))))
(+ 1 (exp b))
(exp b)
b
(* a (+ 1 (* a (+ 1/2 (* a 1/6)))))
(+ 1 (* a (+ 1/2 (* a 1/6))))
(* a (+ 1/2 (* a 1/6)))
(+ 1/2 (* a 1/6))
(* a 1/6)
1/2
(+ 1/2 (* 1/4 a))
1/2
(* 1/4 a)
1/4
a
(+ 1/2 (* a (+ 1/4 (* -1/48 (* a a)))))
1/2
(* a (+ 1/4 (* -1/48 (* a a))))
a
(+ 1/4 (* -1/48 (* a a)))
1/4
(* -1/48 (* a a))
-1/48
(* a a)
(/ 1 (+ 2 (* b (+ 1 (* 1/2 b)))))
1
(+ 2 (* b (+ 1 (* 1/2 b))))
2
(* b (+ 1 (* 1/2 b)))
b
(+ 1 (* 1/2 b))
(* 1/2 b)
1/2
Outputs
(/ (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) (+ (+ 1 (exp b)) (* a (+ 1 (* a (+ 1/2 (* a 1/6)))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64))))))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64))))))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))))
1
#s(literal 1 binary64)
(* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64))))))
a
(+ 1 (* a (+ 1/2 (* 1/6 a))))
(+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))
(* a (+ 1/2 (* 1/6 a)))
(*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64))))
(+ 1/2 (* 1/6 a))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))
1/2
#s(literal 1/2 binary64)
(* 1/6 a)
(*.f64 a #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
(+ (+ 1 (exp b)) (* a (+ 1 (* a (+ 1/2 (* a 1/6))))))
(+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(exp b)
(exp.f64 b)
b
(* a (+ 1 (* a (+ 1/2 (* a 1/6)))))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64))))))
(+ 1 (* a (+ 1/2 (* a 1/6))))
(+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))
(* a (+ 1/2 (* a 1/6)))
(*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64))))
(+ 1/2 (* a 1/6))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))
(* a 1/6)
(*.f64 a #s(literal 1/6 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 a))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
1/2
#s(literal 1/2 binary64)
(* 1/4 a)
(*.f64 a #s(literal 1/4 binary64))
1/4
#s(literal 1/4 binary64)
a
(+ 1/2 (* a (+ 1/4 (* -1/48 (* a a)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
1/2
#s(literal 1/2 binary64)
(* a (+ 1/4 (* -1/48 (* a a))))
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a))))
a
(+ 1/4 (* -1/48 (* a a)))
(+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))
1/4
#s(literal 1/4 binary64)
(* -1/48 (* a a))
(*.f64 #s(literal -1/48 binary64) (*.f64 a a))
-1/48
#s(literal -1/48 binary64)
(* a a)
(*.f64 a a)
(/ 1 (+ 2 (* b (+ 1 (* 1/2 b)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))
1
#s(literal 1 binary64)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))
2
#s(literal 2 binary64)
(* b (+ 1 (* 1/2 b)))
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))
b
(+ 1 (* 1/2 b))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
1/2
#s(literal 1/2 binary64)

localize113.0ms (1.3%)

Memory
-5.1MiB live, 230.9MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) b)
accuracy100.0%
(+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))
accuracy100.0%
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))
accuracy99.5%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))
accuracy100.0%
(+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))
accuracy100.0%
(*.f64 a a)
accuracy100.0%
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a))))
accuracy99.8%
(*.f64 #s(literal -1/48 binary64) (*.f64 a a))
accuracy100.0%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
accuracy100.0%
(*.f64 #s(literal 1/4 binary64) a)
accuracy99.6%
(*.f64 a #s(literal 1/6 binary64))
accuracy99.6%
(*.f64 #s(literal 1/6 binary64) a)
accuracy96.3%
(+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))))
accuracy80.2%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) a)))))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64))))))))
Samples
66.0ms255×0valid
1.0ms2valid
Compiler

Compiled 232 to 37 computations (84.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-mult: 17.0ms (38% of total)
ival-add: 14.0ms (31.3% of total)
const: 7.0ms (15.6% of total)
ival-div: 3.0ms (6.7% of total)
ival-exp: 2.0ms (4.5% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series19.0ms (0.2%)

Memory
-7.9MiB live, 31.8MiB allocated
Counts
19 → 252
Calls
Call 1
Inputs
#<alt (/ (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) (+ (+ 1 (exp b)) (* a (+ 1 (* a (+ 1/2 (* a 1/6)))))))>
#<alt (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))>
#<alt (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))>
#<alt (+ 1 (* a (+ 1/2 (* 1/6 a))))>
#<alt (+ 1/2 (* 1/4 a))>
#<alt (* 1/4 a)>
#<alt (+ 1/2 (* a (+ 1/4 (* -1/48 (* a a)))))>
#<alt (* a (+ 1/4 (* -1/48 (* a a))))>
#<alt (+ 1/4 (* -1/48 (* a a)))>
#<alt (* -1/48 (* a a))>
#<alt (/ 1 (+ 2 (* b (+ 1 (* 1/2 b)))))>
#<alt (+ 2 (* b (+ 1 (* 1/2 b))))>
#<alt (* b (+ 1 (* 1/2 b)))>
#<alt (+ 1 (* 1/2 b))>
#<alt (+ (+ 1 (exp b)) (* a (+ 1 (* a (+ 1/2 (* a 1/6))))))>
#<alt (* 1/6 a)>
#<alt (* a 1/6)>
#<alt (* a a)>
#<alt (* 1/2 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 1>
#<alt (- (+ 1 (* 6 (/ 1 (pow a 3)))) (* 6 (/ (+ 1 (exp b)) (pow a 3))))>
#<alt (- (+ 1 (+ (* -3 (/ (- 6 (* 6 (+ 1 (exp b)))) (pow a 4))) (* 6 (/ 1 (pow a 3))))) (* 6 (/ (+ 1 (exp b)) (pow a 3))))>
#<alt (- (+ 1 (+ (* -1 (/ (+ (* -9 (- 6 (* 6 (+ 1 (exp b))))) (* 6 (- 6 (* 6 (+ 1 (exp b)))))) (pow a 5))) (* 6 (/ 1 (pow a 3))))) (+ (* 3 (/ (- 6 (* 6 (+ 1 (exp b)))) (pow a 4))) (* 6 (/ (+ 1 (exp b)) (pow a 3)))))>
#<alt 1>
#<alt (+ 1 (+ (* -6 (/ (+ 1 (exp b)) (pow a 3))) (* 6 (/ 1 (pow a 3)))))>
#<alt (+ 1 (* -1 (/ (- (* 3 (/ (+ 6 (* -6 (+ 1 (exp b)))) a)) (+ 6 (* -6 (+ 1 (exp b))))) (pow a 3))))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -6 (/ (+ 6 (* -6 (+ 1 (exp b)))) a)) (* 9 (/ (+ 6 (* -6 (+ 1 (exp b)))) a))) (* 3 (+ 6 (* -6 (+ 1 (exp b)))))) a)) (+ 6 (* -6 (+ 1 (exp b))))) (pow a 3))))>
#<alt (/ (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))>
#<alt (+ (* -1 (* b (+ (/ 1 (pow (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) 2)) (/ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (pow (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) 2))))) (+ (/ 1 (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))) (/ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))>
#<alt (+ (* b (- (* -1 (* b (+ (* -1 (/ (+ (/ 1 (pow (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) 2)) (/ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (pow (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) 2))) (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))) (* 1/2 (/ (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) (pow (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) 2)))))) (+ (/ 1 (pow (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) 2)) (/ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (pow (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) 2))))) (+ (/ 1 (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))) (/ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))>
#<alt (+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (+ (/ 1 (pow (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) 2)) (/ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (pow (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) 2))) (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))) (* 1/2 (/ (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) (pow (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) 2)))) (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))) (+ (* -1/2 (/ (+ (/ 1 (pow (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) 2)) (/ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (pow (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) 2))) (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))) (* 1/6 (/ (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) (pow (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) 2))))))) (+ (* -1 (/ (+ (/ 1 (pow (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) 2)) (/ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (pow (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) 2))) (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))) (* 1/2 (/ (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) (pow (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) 2)))))) (+ (/ 1 (pow (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) 2)) (/ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (pow (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) 2))))) (+ (/ 1 (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))) (/ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))>
#<alt (/ (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))>
#<alt (/ (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))>
#<alt (/ (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))>
#<alt (/ (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))>
#<alt (/ (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))>
#<alt (/ (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))>
#<alt (/ (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))>
#<alt (/ (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))>
#<alt 1>
#<alt (+ 1 a)>
#<alt (+ 1 (* a (+ 1 (* 1/2 a))))>
#<alt (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))>
#<alt (* 1/6 (pow a 3))>
#<alt (* (pow a 3) (+ 1/6 (* 1/2 (/ 1 a))))>
#<alt (* (pow a 3) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2)))))>
#<alt (* (pow a 3) (+ 1/6 (+ (* 1/2 (/ 1 a)) (+ (/ 1 (pow a 2)) (/ 1 (pow a 3))))))>
#<alt (* 1/6 (pow a 3))>
#<alt (* (pow a 3) (+ 1/6 (* 1/2 (/ 1 a))))>
#<alt (* -1 (* (pow a 3) (- (* -1 (/ (+ 1/2 (/ 1 a)) a)) 1/6)))>
#<alt (* -1 (* (pow a 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))) a)) 1/6)))>
#<alt a>
#<alt (* a (+ 1 (* 1/2 a)))>
#<alt (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))>
#<alt (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))>
#<alt (* 1/6 (pow a 3))>
#<alt (* (pow a 3) (+ 1/6 (* 1/2 (/ 1 a))))>
#<alt (* (pow a 3) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2)))))>
#<alt (* (pow a 3) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2)))))>
#<alt (* 1/6 (pow a 3))>
#<alt (* (pow a 3) (+ 1/6 (* 1/2 (/ 1 a))))>
#<alt (* -1 (* (pow a 3) (- (* -1 (/ (+ 1/2 (/ 1 a)) a)) 1/6)))>
#<alt (* -1 (* (pow a 3) (- (* -1 (/ (+ 1/2 (/ 1 a)) a)) 1/6)))>
#<alt 1>
#<alt (+ 1 (* 1/2 a))>
#<alt (+ 1 (* a (+ 1/2 (* 1/6 a))))>
#<alt (+ 1 (* a (+ 1/2 (* 1/6 a))))>
#<alt (* 1/6 (pow a 2))>
#<alt (* (pow a 2) (+ 1/6 (* 1/2 (/ 1 a))))>
#<alt (* (pow a 2) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2)))))>
#<alt (* (pow a 2) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2)))))>
#<alt (* 1/6 (pow a 2))>
#<alt (* (pow a 2) (+ 1/6 (* 1/2 (/ 1 a))))>
#<alt (* (pow a 2) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2)))))>
#<alt (* (pow a 2) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 a))>
#<alt (+ 1/2 (* 1/4 a))>
#<alt (+ 1/2 (* 1/4 a))>
#<alt (* 1/4 a)>
#<alt (* a (+ 1/4 (* 1/2 (/ 1 a))))>
#<alt (* a (+ 1/4 (* 1/2 (/ 1 a))))>
#<alt (* a (+ 1/4 (* 1/2 (/ 1 a))))>
#<alt (* 1/4 a)>
#<alt (* a (+ 1/4 (* 1/2 (/ 1 a))))>
#<alt (* a (+ 1/4 (* 1/2 (/ 1 a))))>
#<alt (* a (+ 1/4 (* 1/2 (/ 1 a))))>
#<alt (* 1/4 a)>
#<alt (* 1/4 a)>
#<alt (* 1/4 a)>
#<alt (* 1/4 a)>
#<alt (* 1/4 a)>
#<alt (* 1/4 a)>
#<alt (* 1/4 a)>
#<alt (* 1/4 a)>
#<alt (* 1/4 a)>
#<alt (* 1/4 a)>
#<alt (* 1/4 a)>
#<alt (* 1/4 a)>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 a))>
#<alt (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))>
#<alt (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))>
#<alt (* -1/48 (pow a 3))>
#<alt (* (pow a 3) (- (* 1/4 (/ 1 (pow a 2))) 1/48))>
#<alt (* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48))>
#<alt (* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48))>
#<alt (* -1/48 (pow a 3))>
#<alt (* -1 (* (pow a 3) (- 1/48 (* 1/4 (/ 1 (pow a 2))))))>
#<alt (* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 2))))))>
#<alt (* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 2))))))>
#<alt (* 1/4 a)>
#<alt (* a (+ 1/4 (* -1/48 (pow a 2))))>
#<alt (* a (+ 1/4 (* -1/48 (pow a 2))))>
#<alt (* a (+ 1/4 (* -1/48 (pow a 2))))>
#<alt (* -1/48 (pow a 3))>
#<alt (* (pow a 3) (- (* 1/4 (/ 1 (pow a 2))) 1/48))>
#<alt (* (pow a 3) (- (* 1/4 (/ 1 (pow a 2))) 1/48))>
#<alt (* (pow a 3) (- (* 1/4 (/ 1 (pow a 2))) 1/48))>
#<alt (* -1/48 (pow a 3))>
#<alt (* -1 (* (pow a 3) (- 1/48 (* 1/4 (/ 1 (pow a 2))))))>
#<alt (* -1 (* (pow a 3) (- 1/48 (* 1/4 (/ 1 (pow a 2))))))>
#<alt (* -1 (* (pow a 3) (- 1/48 (* 1/4 (/ 1 (pow a 2))))))>
#<alt 1/4>
#<alt (+ 1/4 (* -1/48 (pow a 2)))>
#<alt (+ 1/4 (* -1/48 (pow a 2)))>
#<alt (+ 1/4 (* -1/48 (pow a 2)))>
#<alt (* -1/48 (pow a 2))>
#<alt (* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))>
#<alt (* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))>
#<alt (* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))>
#<alt (* -1/48 (pow a 2))>
#<alt (* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))>
#<alt (* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))>
#<alt (* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 b))>
#<alt (+ 1/2 (* b (- (* 1/16 (pow b 2)) 1/4)))>
#<alt (+ 1/2 (* b (- (* (pow b 2) (+ 1/16 (* -1/32 b))) 1/4)))>
#<alt (/ 2 (pow b 2))>
#<alt (/ (- 2 (* 4 (/ 1 b))) (pow b 2))>
#<alt (/ (- (+ 2 (/ 16 (pow b 3))) (* 4 (/ 1 b))) (pow b 2))>
#<alt (/ (- (+ 2 (/ 16 (pow b 3))) (+ (* 4 (/ 1 b)) (* 32 (/ 1 (pow b 4))))) (pow b 2))>
#<alt (/ 2 (pow b 2))>
#<alt (/ (- 2 (* 4 (/ 1 b))) (pow b 2))>
#<alt (/ (+ 2 (* -1 (/ (- 4 (* 16 (/ 1 (pow b 2)))) b))) (pow b 2))>
#<alt (/ (+ 2 (* -1 (/ (- (+ 4 (/ 32 (pow b 3))) (* 16 (/ 1 (pow b 2)))) b))) (pow b 2))>
#<alt 2>
#<alt (+ 2 b)>
#<alt (+ 2 (* b (+ 1 (* 1/2 b))))>
#<alt (+ 2 (* b (+ 1 (* 1/2 b))))>
#<alt (* 1/2 (pow b 2))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))>
#<alt (* 1/2 (pow b 2))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))>
#<alt b>
#<alt (* b (+ 1 (* 1/2 b)))>
#<alt (* b (+ 1 (* 1/2 b)))>
#<alt (* b (+ 1 (* 1/2 b)))>
#<alt (* 1/2 (pow b 2))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* 1/2 (pow b 2))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt 1>
#<alt (+ 1 (* 1/2 b))>
#<alt (+ 1 (* 1/2 b))>
#<alt (+ 1 (* 1/2 b))>
#<alt (* 1/2 b)>
#<alt (* b (+ 1/2 (/ 1 b)))>
#<alt (* b (+ 1/2 (/ 1 b)))>
#<alt (* b (+ 1/2 (/ 1 b)))>
#<alt (* 1/2 b)>
#<alt (* b (+ 1/2 (/ 1 b)))>
#<alt (* b (+ 1/2 (/ 1 b)))>
#<alt (* b (+ 1/2 (/ 1 b)))>
#<alt (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))>
#<alt (+ 2 (+ b (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))>
#<alt (+ 2 (+ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (* b (+ 1 (* 1/2 b)))))>
#<alt (+ 2 (+ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 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 (* 1/6 (pow a 3))>
#<alt (* (pow a 3) (+ 1/6 (* 1/2 (/ 1 a))))>
#<alt (* (pow a 3) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2)))))>
#<alt (* (pow a 3) (+ 1/6 (+ (* 1/2 (/ 1 a)) (+ (/ 1 (pow a 2)) (+ (/ 1 (pow a 3)) (/ (exp b) (pow a 3)))))))>
#<alt (* 1/6 (pow a 3))>
#<alt (* (pow a 3) (+ 1/6 (* 1/2 (/ 1 a))))>
#<alt (* -1 (* (pow a 3) (- (* -1 (/ (+ 1/2 (/ 1 a)) a)) 1/6)))>
#<alt (* -1 (* (pow a 3) (- (* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp b)) a)) 1) a))) a)) 1/6)))>
#<alt (* 1/6 a)>
#<alt (* 1/6 a)>
#<alt (* 1/6 a)>
#<alt (* 1/6 a)>
#<alt (* 1/6 a)>
#<alt (* 1/6 a)>
#<alt (* 1/6 a)>
#<alt (* 1/6 a)>
#<alt (* 1/6 a)>
#<alt (* 1/6 a)>
#<alt (* 1/6 a)>
#<alt (* 1/6 a)>
#<alt (* 1/6 a)>
#<alt (* 1/6 a)>
#<alt (* 1/6 a)>
#<alt (* 1/6 a)>
#<alt (* 1/6 a)>
#<alt (* 1/6 a)>
#<alt (* 1/6 a)>
#<alt (* 1/6 a)>
#<alt (* 1/6 a)>
#<alt (* 1/6 a)>
#<alt (* 1/6 a)>
#<alt (* 1/6 a)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
Calls

63 calls:

TimeVariablePointExpression
4.0ms
b
@-inf
(/ 1 (+ 2 (* b (+ 1 (* 1/2 b)))))
1.0ms
b
@0
(/ (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) (+ (+ 1 (exp b)) (* a (+ 1 (* a (+ 1/2 (* a 1/6)))))))
1.0ms
a
@-inf
(/ (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) (+ (+ 1 (exp b)) (* a (+ 1 (* a (+ 1/2 (* a 1/6)))))))
1.0ms
b
@-inf
(/ (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) (+ (+ 1 (exp b)) (* a (+ 1 (* a (+ 1/2 (* a 1/6)))))))
1.0ms
b
@inf
(/ (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) (+ (+ 1 (exp b)) (* a (+ 1 (* a (+ 1/2 (* a 1/6)))))))

rewrite433.0ms (5%)

Memory
17.4MiB live, 750.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 228×accelerator-lowering-fma.f32
4 228×accelerator-lowering-fma.f64
3 892×*-lowering-*.f32
3 892×*-lowering-*.f64
3 530×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035163
1258163
21973163
08165136
Stop Event
iter limit
node limit
Counts
19 → 555
Calls
Call 1
Inputs
(/ (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) (+ (+ 1 (exp b)) (* a (+ 1 (* a (+ 1/2 (* a 1/6)))))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))
(+ 1 (* a (+ 1/2 (* 1/6 a))))
(+ 1/2 (* 1/4 a))
(* 1/4 a)
(+ 1/2 (* a (+ 1/4 (* -1/48 (* a a)))))
(* a (+ 1/4 (* -1/48 (* a a))))
(+ 1/4 (* -1/48 (* a a)))
(* -1/48 (* a a))
(/ 1 (+ 2 (* b (+ 1 (* 1/2 b)))))
(+ 2 (* b (+ 1 (* 1/2 b))))
(* b (+ 1 (* 1/2 b)))
(+ 1 (* 1/2 b))
(+ (+ 1 (exp b)) (* a (+ 1 (* a (+ 1/2 (* a 1/6))))))
(* 1/6 a)
(* a 1/6)
(* a a)
(* 1/2 b)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64))))))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64))))))))) (/.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64))))))))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (+.f64 (exp.f64 b) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))))))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64))))))) (+.f64 #s(literal -1 binary64) (neg.f64 (+.f64 (exp.f64 b) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))))))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))))) (-.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64))))))))) (/.f64 (*.f64 (*.f64 a a) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64))))))) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))))) (-.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64))))))))))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64))))))) (+.f64 #s(literal -1 binary64) (neg.f64 (+.f64 (exp.f64 b) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))))))))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64))))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))))) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))))) (+.f64 #s(literal -1 binary64) (neg.f64 (+.f64 (exp.f64 b) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64))))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))) (*.f64 (*.f64 a a) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64))))))))) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))) (-.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))) #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))))) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))))) (-.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))) (*.f64 (*.f64 a a) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64))))))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))) (-.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64))))))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64))))))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64))))))))) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (+.f64 (exp.f64 b) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))) (*.f64 (*.f64 a a) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))))))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))) (-.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))) #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64))))))))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))))) (-.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64))))))))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64))))))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))) (*.f64 (*.f64 a a) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64))))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))) (-.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))) #s(literal 1 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))))))) (-.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64))))))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))) (*.f64 (*.f64 a a) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64))))))))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))) (-.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))))) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))))))) (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (+.f64 (exp.f64 b) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64))))))))))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64))))))) #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) (neg.f64 (+.f64 (exp.f64 b) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64))))))))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))) (*.f64 (*.f64 a a) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64))))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64))))))))))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))) (-.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64))))))))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))))))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))))) #s(literal -1 binary64))
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(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))) (-.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))) (+.f64 #s(literal 1 binary64) (exp.f64 b))))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)) (*.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))) (*.f64 (*.f64 a a) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 a a) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64))))))))) #s(literal -1 binary64))
(*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)) (*.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))) (*.f64 (*.f64 a a) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64))))))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))) (-.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))))
(*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 a a) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64))))))))))
(*.f64 a #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) a)
(*.f64 a #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) a)
(exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)))
(pow.f64 a #s(literal 2 binary64))
(pow.f64 (*.f64 a a) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 a a))
(*.f64 a a)
(*.f64 (*.f64 a a) #s(literal 1 binary64))
(*.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))
(*.f64 #s(literal 1/2 binary64) b)
(*.f64 b #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64))

simplify508.0ms (5.9%)

Memory
-19.3MiB live, 808.7MiB allocated
Algorithm
egg-herbie
Rules
13 066×accelerator-lowering-fma.f32
13 066×accelerator-lowering-fma.f64
6 376×+-lowering-+.f64
6 376×+-lowering-+.f32
4 132×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03053023
19282940
228882850
086142503
Stop Event
iter limit
node limit
Counts
252 → 252
Calls
Call 1
Inputs
(/ 1 (+ 1 (exp b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
1
(- (+ 1 (* 6 (/ 1 (pow a 3)))) (* 6 (/ (+ 1 (exp b)) (pow a 3))))
(- (+ 1 (+ (* -3 (/ (- 6 (* 6 (+ 1 (exp b)))) (pow a 4))) (* 6 (/ 1 (pow a 3))))) (* 6 (/ (+ 1 (exp b)) (pow a 3))))
(- (+ 1 (+ (* -1 (/ (+ (* -9 (- 6 (* 6 (+ 1 (exp b))))) (* 6 (- 6 (* 6 (+ 1 (exp b)))))) (pow a 5))) (* 6 (/ 1 (pow a 3))))) (+ (* 3 (/ (- 6 (* 6 (+ 1 (exp b)))) (pow a 4))) (* 6 (/ (+ 1 (exp b)) (pow a 3)))))
1
(+ 1 (+ (* -6 (/ (+ 1 (exp b)) (pow a 3))) (* 6 (/ 1 (pow a 3)))))
(+ 1 (* -1 (/ (- (* 3 (/ (+ 6 (* -6 (+ 1 (exp b)))) a)) (+ 6 (* -6 (+ 1 (exp b))))) (pow a 3))))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -6 (/ (+ 6 (* -6 (+ 1 (exp b)))) a)) (* 9 (/ (+ 6 (* -6 (+ 1 (exp b)))) a))) (* 3 (+ 6 (* -6 (+ 1 (exp b)))))) a)) (+ 6 (* -6 (+ 1 (exp b))))) (pow a 3))))
(/ (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(+ (* -1 (* b (+ (/ 1 (pow (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) 2)) (/ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (pow (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) 2))))) (+ (/ 1 (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))) (/ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (+ (/ 1 (pow (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) 2)) (/ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (pow (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) 2))) (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))) (* 1/2 (/ (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) (pow (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) 2)))))) (+ (/ 1 (pow (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) 2)) (/ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (pow (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) 2))))) (+ (/ 1 (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))) (/ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (+ (/ 1 (pow (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) 2)) (/ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (pow (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) 2))) (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))) (* 1/2 (/ (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) (pow (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) 2)))) (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))) (+ (* -1/2 (/ (+ (/ 1 (pow (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) 2)) (/ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (pow (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) 2))) (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))) (* 1/6 (/ (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) (pow (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) 2))))))) (+ (* -1 (/ (+ (/ 1 (pow (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) 2)) (/ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (pow (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) 2))) (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))) (* 1/2 (/ (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) (pow (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) 2)))))) (+ (/ 1 (pow (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) 2)) (/ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (pow (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) 2))))) (+ (/ 1 (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))) (/ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))
(/ (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
(/ (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
(/ (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
(/ (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
(/ (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
(/ (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
(/ (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
(/ (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(* 1/6 (pow a 3))
(* (pow a 3) (+ 1/6 (* 1/2 (/ 1 a))))
(* (pow a 3) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2)))))
(* (pow a 3) (+ 1/6 (+ (* 1/2 (/ 1 a)) (+ (/ 1 (pow a 2)) (/ 1 (pow a 3))))))
(* 1/6 (pow a 3))
(* (pow a 3) (+ 1/6 (* 1/2 (/ 1 a))))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1/2 (/ 1 a)) a)) 1/6)))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))) a)) 1/6)))
a
(* a (+ 1 (* 1/2 a)))
(* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))
(* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))
(* 1/6 (pow a 3))
(* (pow a 3) (+ 1/6 (* 1/2 (/ 1 a))))
(* (pow a 3) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2)))))
(* (pow a 3) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2)))))
(* 1/6 (pow a 3))
(* (pow a 3) (+ 1/6 (* 1/2 (/ 1 a))))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1/2 (/ 1 a)) a)) 1/6)))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1/2 (/ 1 a)) a)) 1/6)))
1
(+ 1 (* 1/2 a))
(+ 1 (* a (+ 1/2 (* 1/6 a))))
(+ 1 (* a (+ 1/2 (* 1/6 a))))
(* 1/6 (pow a 2))
(* (pow a 2) (+ 1/6 (* 1/2 (/ 1 a))))
(* (pow a 2) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2)))))
(* (pow a 2) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2)))))
(* 1/6 (pow a 2))
(* (pow a 2) (+ 1/6 (* 1/2 (/ 1 a))))
(* (pow a 2) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2)))))
(* (pow a 2) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2)))))
1/2
(+ 1/2 (* 1/4 a))
(+ 1/2 (* 1/4 a))
(+ 1/2 (* 1/4 a))
(* 1/4 a)
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(* 1/4 a)
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(* 1/4 a)
(* 1/4 a)
(* 1/4 a)
(* 1/4 a)
(* 1/4 a)
(* 1/4 a)
(* 1/4 a)
(* 1/4 a)
(* 1/4 a)
(* 1/4 a)
(* 1/4 a)
(* 1/4 a)
1/2
(+ 1/2 (* 1/4 a))
(+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))
(+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))
(* -1/48 (pow a 3))
(* (pow a 3) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48))
(* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48))
(* -1/48 (pow a 3))
(* -1 (* (pow a 3) (- 1/48 (* 1/4 (/ 1 (pow a 2))))))
(* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 2))))))
(* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 2))))))
(* 1/4 a)
(* a (+ 1/4 (* -1/48 (pow a 2))))
(* a (+ 1/4 (* -1/48 (pow a 2))))
(* a (+ 1/4 (* -1/48 (pow a 2))))
(* -1/48 (pow a 3))
(* (pow a 3) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(* (pow a 3) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(* (pow a 3) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(* -1/48 (pow a 3))
(* -1 (* (pow a 3) (- 1/48 (* 1/4 (/ 1 (pow a 2))))))
(* -1 (* (pow a 3) (- 1/48 (* 1/4 (/ 1 (pow a 2))))))
(* -1 (* (pow a 3) (- 1/48 (* 1/4 (/ 1 (pow a 2))))))
1/4
(+ 1/4 (* -1/48 (pow a 2)))
(+ 1/4 (* -1/48 (pow a 2)))
(+ 1/4 (* -1/48 (pow a 2)))
(* -1/48 (pow a 2))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(* -1/48 (pow a 2))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
1/2
(+ 1/2 (* -1/4 b))
(+ 1/2 (* b (- (* 1/16 (pow b 2)) 1/4)))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/16 (* -1/32 b))) 1/4)))
(/ 2 (pow b 2))
(/ (- 2 (* 4 (/ 1 b))) (pow b 2))
(/ (- (+ 2 (/ 16 (pow b 3))) (* 4 (/ 1 b))) (pow b 2))
(/ (- (+ 2 (/ 16 (pow b 3))) (+ (* 4 (/ 1 b)) (* 32 (/ 1 (pow b 4))))) (pow b 2))
(/ 2 (pow b 2))
(/ (- 2 (* 4 (/ 1 b))) (pow b 2))
(/ (+ 2 (* -1 (/ (- 4 (* 16 (/ 1 (pow b 2)))) b))) (pow b 2))
(/ (+ 2 (* -1 (/ (- (+ 4 (/ 32 (pow b 3))) (* 16 (/ 1 (pow b 2)))) b))) (pow b 2))
2
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* 1/2 b))))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
b
(* b (+ 1 (* 1/2 b)))
(* b (+ 1 (* 1/2 b)))
(* b (+ 1 (* 1/2 b)))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (/ 1 b)))
1
(+ 1 (* 1/2 b))
(+ 1 (* 1/2 b))
(+ 1 (* 1/2 b))
(* 1/2 b)
(* b (+ 1/2 (/ 1 b)))
(* b (+ 1/2 (/ 1 b)))
(* b (+ 1/2 (/ 1 b)))
(* 1/2 b)
(* b (+ 1/2 (/ 1 b)))
(* b (+ 1/2 (/ 1 b)))
(* b (+ 1/2 (/ 1 b)))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(+ 2 (+ b (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(+ 2 (+ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (* b (+ 1 (* 1/2 b)))))
(+ 2 (+ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(+ 1 (exp b))
(+ 1 (+ a (exp b)))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(* 1/6 (pow a 3))
(* (pow a 3) (+ 1/6 (* 1/2 (/ 1 a))))
(* (pow a 3) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2)))))
(* (pow a 3) (+ 1/6 (+ (* 1/2 (/ 1 a)) (+ (/ 1 (pow a 2)) (+ (/ 1 (pow a 3)) (/ (exp b) (pow a 3)))))))
(* 1/6 (pow a 3))
(* (pow a 3) (+ 1/6 (* 1/2 (/ 1 a))))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1/2 (/ 1 a)) a)) 1/6)))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp b)) a)) 1) a))) a)) 1/6)))
(* 1/6 a)
(* 1/6 a)
(* 1/6 a)
(* 1/6 a)
(* 1/6 a)
(* 1/6 a)
(* 1/6 a)
(* 1/6 a)
(* 1/6 a)
(* 1/6 a)
(* 1/6 a)
(* 1/6 a)
(* 1/6 a)
(* 1/6 a)
(* 1/6 a)
(* 1/6 a)
(* 1/6 a)
(* 1/6 a)
(* 1/6 a)
(* 1/6 a)
(* 1/6 a)
(* 1/6 a)
(* 1/6 a)
(* 1/6 a)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
Outputs
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))))
(+ (* 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))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 (*.f64 a (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (/.f64 #s(literal -3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))))))
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1
#s(literal 1 binary64)
(+ 1 a)
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(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
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(* 1/6 (pow a 3))
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(* (pow a 3) (+ 1/6 (* 1/2 (/ 1 a))))
(*.f64 (*.f64 a a) (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64))))
(* (pow a 3) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2)))))
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a
(* a (+ 1 (* 1/2 a)))
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(* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))
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(* 1/6 (pow a 3))
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(* (pow a 3) (+ 1/6 (* 1/2 (/ 1 a))))
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(* (pow a 3) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2)))))
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(* 1/6 (pow a 3))
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(* -1 (* (pow a 3) (- (* -1 (/ (+ 1/2 (/ 1 a)) a)) 1/6)))
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(* -1 (* (pow a 3) (- (* -1 (/ (+ 1/2 (/ 1 a)) a)) 1/6)))
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1
#s(literal 1 binary64)
(+ 1 (* 1/2 a))
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(* 1/6 (pow a 2))
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(* (pow a 2) (+ 1/6 (* 1/2 (/ 1 a))))
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(* (pow a 2) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2)))))
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(* (pow a 2) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2)))))
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(* 1/6 (pow a 2))
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(* (pow a 2) (+ 1/6 (* 1/2 (/ 1 a))))
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(* (pow a 2) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2)))))
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(* (pow a 2) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2)))))
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1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 a))
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(* 1/4 a)
(*.f64 a #s(literal 1/4 binary64))
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(* a (+ 1/4 (* 1/2 (/ 1 a))))
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(* 1/4 a)
(*.f64 a #s(literal 1/4 binary64))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
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(* a (+ 1/4 (* 1/2 (/ 1 a))))
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(* a (+ 1/4 (* 1/2 (/ 1 a))))
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(* 1/4 a)
(*.f64 a #s(literal 1/4 binary64))
(* 1/4 a)
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(* 1/4 a)
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(* 1/4 a)
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(* 1/4 a)
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(* 1/4 a)
(*.f64 a #s(literal 1/4 binary64))
(* 1/4 a)
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1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 a))
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(* -1/48 (pow a 3))
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(* (pow a 3) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
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(* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48))
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(* -1/48 (pow a 3))
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(* 1/4 a)
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(* -1/48 (pow a 3))
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1/4
#s(literal 1/4 binary64)
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(* -1/48 (pow a 2))
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(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
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(* -1/48 (pow a 2))
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1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 b))
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(+ 1/2 (* b (- (* 1/16 (pow b 2)) 1/4)))
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(+ 1/2 (* b (- (* (pow b 2) (+ 1/16 (* -1/32 b))) 1/4)))
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(/ 2 (pow b 2))
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(/ (- 2 (* 4 (/ 1 b))) (pow b 2))
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(/ (- (+ 2 (/ 16 (pow b 3))) (* 4 (/ 1 b))) (pow b 2))
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(/ (- (+ 2 (/ 16 (pow b 3))) (+ (* 4 (/ 1 b)) (* 32 (/ 1 (pow b 4))))) (pow b 2))
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(/ 2 (pow b 2))
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(/ (- 2 (* 4 (/ 1 b))) (pow b 2))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b)) (*.f64 b b))
(/ (+ 2 (* -1 (/ (- 4 (* 16 (/ 1 (pow b 2)))) b))) (pow b 2))
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(/ (+ 2 (* -1 (/ (- (+ 4 (/ 32 (pow b 3))) (* 16 (/ 1 (pow b 2)))) b))) (pow b 2))
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2
#s(literal 2 binary64)
(+ 2 b)
(+.f64 b #s(literal 2 binary64))
(+ 2 (* b (+ 1 (* 1/2 b))))
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(+ 2 (* b (+ 1 (* 1/2 b))))
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(* 1/2 (pow b 2))
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(* (pow b 2) (+ 1/2 (/ 1 b)))
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(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1/2 binary64)))))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
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(* 1/2 (pow b 2))
(*.f64 b (*.f64 b #s(literal 1/2 binary64)))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1/2 binary64)))))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1/2 binary64)))))
b
(* b (+ 1 (* 1/2 b)))
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))
(* b (+ 1 (* 1/2 b)))
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))
(* b (+ 1 (* 1/2 b)))
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))
(* 1/2 (pow b 2))
(*.f64 b (*.f64 b #s(literal 1/2 binary64)))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))
(* 1/2 (pow b 2))
(*.f64 b (*.f64 b #s(literal 1/2 binary64)))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 b))
(+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))
(+ 1 (* 1/2 b))
(+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))
(+ 1 (* 1/2 b))
(+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))
(* 1/2 b)
(*.f64 b #s(literal 1/2 binary64))
(* b (+ 1/2 (/ 1 b)))
(+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))
(* b (+ 1/2 (/ 1 b)))
(+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))
(* b (+ 1/2 (/ 1 b)))
(+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))
(* 1/2 b)
(*.f64 b #s(literal 1/2 binary64))
(* b (+ 1/2 (/ 1 b)))
(+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))
(* b (+ 1/2 (/ 1 b)))
(+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))
(* b (+ 1/2 (/ 1 b)))
(+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))))
(+ 2 (+ b (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(+.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))) (+.f64 b #s(literal 2 binary64)))
(+ 2 (+ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (* b (+ 1 (* 1/2 b)))))
(+.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))))
(+ 2 (+ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))))
(+ 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)))))
(+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))))
(* 1/6 (pow a 3))
(*.f64 a (*.f64 #s(literal 1/6 binary64) (*.f64 a a)))
(* (pow a 3) (+ 1/6 (* 1/2 (/ 1 a))))
(*.f64 (*.f64 a a) (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64))))
(* (pow a 3) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2)))))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64))))))
(* (pow a 3) (+ 1/6 (+ (* 1/2 (/ 1 a)) (+ (/ 1 (pow a 2)) (+ (/ 1 (pow a 3)) (/ (exp b) (pow a 3)))))))
(+.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (/.f64 (exp.f64 b) (*.f64 a (*.f64 a a))))))
(* 1/6 (pow a 3))
(*.f64 a (*.f64 #s(literal 1/6 binary64) (*.f64 a a)))
(* (pow a 3) (+ 1/6 (* 1/2 (/ 1 a))))
(*.f64 (*.f64 a a) (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64))))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1/2 (/ 1 a)) a)) 1/6)))
(*.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) a)) a) #s(literal -1/6 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp b)) a)) 1) a))) a)) 1/6)))
(*.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) a)) a)) a)) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))))
(* 1/6 a)
(*.f64 a #s(literal 1/6 binary64))
(* 1/6 a)
(*.f64 a #s(literal 1/6 binary64))
(* 1/6 a)
(*.f64 a #s(literal 1/6 binary64))
(* 1/6 a)
(*.f64 a #s(literal 1/6 binary64))
(* 1/6 a)
(*.f64 a #s(literal 1/6 binary64))
(* 1/6 a)
(*.f64 a #s(literal 1/6 binary64))
(* 1/6 a)
(*.f64 a #s(literal 1/6 binary64))
(* 1/6 a)
(*.f64 a #s(literal 1/6 binary64))
(* 1/6 a)
(*.f64 a #s(literal 1/6 binary64))
(* 1/6 a)
(*.f64 a #s(literal 1/6 binary64))
(* 1/6 a)
(*.f64 a #s(literal 1/6 binary64))
(* 1/6 a)
(*.f64 a #s(literal 1/6 binary64))
(* 1/6 a)
(*.f64 a #s(literal 1/6 binary64))
(* 1/6 a)
(*.f64 a #s(literal 1/6 binary64))
(* 1/6 a)
(*.f64 a #s(literal 1/6 binary64))
(* 1/6 a)
(*.f64 a #s(literal 1/6 binary64))
(* 1/6 a)
(*.f64 a #s(literal 1/6 binary64))
(* 1/6 a)
(*.f64 a #s(literal 1/6 binary64))
(* 1/6 a)
(*.f64 a #s(literal 1/6 binary64))
(* 1/6 a)
(*.f64 a #s(literal 1/6 binary64))
(* 1/6 a)
(*.f64 a #s(literal 1/6 binary64))
(* 1/6 a)
(*.f64 a #s(literal 1/6 binary64))
(* 1/6 a)
(*.f64 a #s(literal 1/6 binary64))
(* 1/6 a)
(*.f64 a #s(literal 1/6 binary64))
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(* 1/2 b)
(*.f64 b #s(literal 1/2 binary64))
(* 1/2 b)
(*.f64 b #s(literal 1/2 binary64))
(* 1/2 b)
(*.f64 b #s(literal 1/2 binary64))
(* 1/2 b)
(*.f64 b #s(literal 1/2 binary64))
(* 1/2 b)
(*.f64 b #s(literal 1/2 binary64))
(* 1/2 b)
(*.f64 b #s(literal 1/2 binary64))
(* 1/2 b)
(*.f64 b #s(literal 1/2 binary64))
(* 1/2 b)
(*.f64 b #s(literal 1/2 binary64))
(* 1/2 b)
(*.f64 b #s(literal 1/2 binary64))
(* 1/2 b)
(*.f64 b #s(literal 1/2 binary64))
(* 1/2 b)
(*.f64 b #s(literal 1/2 binary64))
(* 1/2 b)
(*.f64 b #s(literal 1/2 binary64))

eval108.0ms (1.2%)

Memory
4.7MiB live, 197.0MiB allocated
Compiler

Compiled 33 784 to 2 479 computations (92.7% saved)

prune118.0ms (1.4%)

Memory
-4.6MiB live, 156.2MiB allocated
Pruning

20 alts after pruning (15 fresh and 5 done)

PrunedKeptTotal
New79710807
Fresh257
Picked235
Done022
Total80120821
Accuracy
100.0%
Counts
821 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
13.4%
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b)) (*.f64 b b))
68.1%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
66.3%
(/.f64 (exp.f64 a) #s(literal 2 binary64))
14.0%
(/.f64 #s(literal 2 binary64) (*.f64 b b))
39.0%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) #s(literal 2 binary64))))))
56.0%
(/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (*.f64 b #s(literal 2 binary64))) (expm1.f64 b)))
44.0%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b b)) (*.f64 #s(literal 1/2 binary64) (*.f64 b b)))) (-.f64 b (*.f64 #s(literal 1/2 binary64) (*.f64 b b))))))
53.7%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
48.1%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (*.f64 b #s(literal 1/2 binary64)))))
78.6%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
38.4%
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1/2 binary64))))))
38.2%
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/48 binary64) (*.f64 b (*.f64 b #s(literal -1/480 binary64))))))))
37.5%
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 b (*.f64 b #s(literal 1/48 binary64))))))
38.2%
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64)))
40.9%
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
41.1%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
12.4%
(*.f64 a (*.f64 (*.f64 a a) #s(literal -1/48 binary64)))
3.6%
(*.f64 a #s(literal 1/4 binary64))
28.1%
#s(literal 1 binary64)
40.3%
#s(literal 1/2 binary64)
Compiler

Compiled 468 to 301 computations (35.7% saved)

simplify14.0ms (0.2%)

Memory
24.0MiB live, 24.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))
cost-diff0
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))
cost-diff0
(+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
cost-diff0
(*.f64 b b)
cost-diff0
(/.f64 #s(literal -4 binary64) b)
cost-diff0
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b))
cost-diff0
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b)) (*.f64 b b))
cost-diff0
(*.f64 b b)
cost-diff0
(/.f64 #s(literal 2 binary64) (*.f64 b b))
cost-diff0
(exp.f64 a)
cost-diff0
(/.f64 (exp.f64 a) #s(literal 2 binary64))
Rules
400×accelerator-lowering-fma.f32
400×accelerator-lowering-fma.f64
134×*-lowering-*.f32
134×*-lowering-*.f64
132×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021110
146110
289110
3187110
4253110
5267110
026798
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ (exp a) 2)
(exp a)
a
2
1
(/ 2 (* b b))
2
(* b b)
b
(/ (+ 2 (/ -4 b)) (* b b))
(+ 2 (/ -4 b))
2
(/ -4 b)
-4
b
(* b b)
(/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* b 1/6)))))))
1
(+ 2 (* b (+ 1 (* b (+ 1/2 (* b 1/6))))))
2
(* b (+ 1 (* b (+ 1/2 (* b 1/6)))))
b
(+ 1 (* b (+ 1/2 (* b 1/6))))
(* b (+ 1/2 (* b 1/6)))
(+ 1/2 (* b 1/6))
1/2
(* b 1/6)
1/6
Outputs
(/ (exp a) 2)
(/.f64 (exp.f64 a) #s(literal 2 binary64))
(exp a)
(exp.f64 a)
a
2
#s(literal 2 binary64)
1
#s(literal 1 binary64)
(/ 2 (* b b))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
2
#s(literal 2 binary64)
(* b b)
(*.f64 b b)
b
(/ (+ 2 (/ -4 b)) (* b b))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b)) (*.f64 b b))
(+ 2 (/ -4 b))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b))
2
#s(literal 2 binary64)
(/ -4 b)
(/.f64 #s(literal -4 binary64) b)
-4
#s(literal -4 binary64)
b
(* b b)
(*.f64 b b)
(/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* b 1/6)))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
1
#s(literal 1 binary64)
(+ 2 (* b (+ 1 (* b (+ 1/2 (* b 1/6))))))
(+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))
2
#s(literal 2 binary64)
(* b (+ 1 (* b (+ 1/2 (* b 1/6)))))
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))
b
(+ 1 (* b (+ 1/2 (* b 1/6))))
(+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))
(* b (+ 1/2 (* b 1/6)))
(*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))
(+ 1/2 (* b 1/6))
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))
1/2
#s(literal 1/2 binary64)
(* b 1/6)
(*.f64 b #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)

localize76.0ms (0.9%)

Memory
16.2MiB live, 90.5MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))
accuracy99.9%
(*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))
accuracy99.7%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
accuracy99.5%
(*.f64 b #s(literal 1/6 binary64))
accuracy100.0%
(/.f64 #s(literal -4 binary64) b)
accuracy100.0%
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b))
accuracy100.0%
(*.f64 b b)
accuracy99.4%
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b)) (*.f64 b b))
accuracy100.0%
(*.f64 b b)
accuracy99.4%
(/.f64 #s(literal 2 binary64) (*.f64 b b))
accuracy100.0%
(/.f64 (exp.f64 a) #s(literal 2 binary64))
accuracy100.0%
(exp.f64 a)
Samples
41.0ms256×0valid
Compiler

Compiled 112 to 23 computations (79.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-div: 8.0ms (31.5% of total)
ival-mult: 6.0ms (23.6% of total)
ival-add: 5.0ms (19.7% of total)
const: 4.0ms (15.8% of total)
ival-exp: 2.0ms (7.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory
-28.4MiB live, 9.7MiB allocated
Counts
13 → 156
Calls
Call 1
Inputs
#<alt (/ (exp a) 2)>
#<alt (exp a)>
#<alt (/ 2 (* b b))>
#<alt (* b b)>
#<alt (/ (+ 2 (/ -4 b)) (* b b))>
#<alt (+ 2 (/ -4 b))>
#<alt (/ -4 b)>
#<alt (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* b 1/6)))))))>
#<alt (+ 2 (* b (+ 1 (* b (+ 1/2 (* b 1/6))))))>
#<alt (* b (+ 1 (* b (+ 1/2 (* b 1/6)))))>
#<alt (+ 1 (* b (+ 1/2 (* b 1/6))))>
#<alt (* b 1/6)>
#<alt (* b (+ 1/2 (* b 1/6)))>
Outputs
#<alt 1/2>
#<alt (+ 1/2 (* 1/2 a))>
#<alt (+ 1/2 (* a (+ 1/2 (* 1/4 a))))>
#<alt (+ 1/2 (* a (+ 1/2 (* a (+ 1/4 (* 1/12 a))))))>
#<alt (* 1/2 (exp a))>
#<alt (* 1/2 (exp a))>
#<alt (* 1/2 (exp a))>
#<alt (* 1/2 (exp a))>
#<alt (* 1/2 (exp a))>
#<alt (* 1/2 (exp a))>
#<alt (* 1/2 (exp a))>
#<alt (* 1/2 (exp a))>
#<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 (/ 2 (pow b 2))>
#<alt (/ 2 (pow b 2))>
#<alt (/ 2 (pow b 2))>
#<alt (/ 2 (pow b 2))>
#<alt (/ 2 (pow b 2))>
#<alt (/ 2 (pow b 2))>
#<alt (/ 2 (pow b 2))>
#<alt (/ 2 (pow b 2))>
#<alt (/ 2 (pow b 2))>
#<alt (/ 2 (pow b 2))>
#<alt (/ 2 (pow b 2))>
#<alt (/ 2 (pow b 2))>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (/ -4 (pow b 3))>
#<alt (/ (- (* 2 b) 4) (pow b 3))>
#<alt (/ (- (* 2 b) 4) (pow b 3))>
#<alt (/ (- (* 2 b) 4) (pow b 3))>
#<alt (/ 2 (pow b 2))>
#<alt (/ (- 2 (* 4 (/ 1 b))) (pow b 2))>
#<alt (/ (- 2 (* 4 (/ 1 b))) (pow b 2))>
#<alt (/ (- 2 (* 4 (/ 1 b))) (pow b 2))>
#<alt (/ 2 (pow b 2))>
#<alt (/ (- 2 (* 4 (/ 1 b))) (pow b 2))>
#<alt (/ (- 2 (* 4 (/ 1 b))) (pow b 2))>
#<alt (/ (- 2 (* 4 (/ 1 b))) (pow b 2))>
#<alt (/ -4 b)>
#<alt (/ (- (* 2 b) 4) b)>
#<alt (/ (- (* 2 b) 4) b)>
#<alt (/ (- (* 2 b) 4) b)>
#<alt 2>
#<alt (- 2 (* 4 (/ 1 b)))>
#<alt (- 2 (* 4 (/ 1 b)))>
#<alt (- 2 (* 4 (/ 1 b)))>
#<alt 2>
#<alt (- 2 (* 4 (/ 1 b)))>
#<alt (- 2 (* 4 (/ 1 b)))>
#<alt (- 2 (* 4 (/ 1 b)))>
#<alt (/ -4 b)>
#<alt (/ -4 b)>
#<alt (/ -4 b)>
#<alt (/ -4 b)>
#<alt (/ -4 b)>
#<alt (/ -4 b)>
#<alt (/ -4 b)>
#<alt (/ -4 b)>
#<alt (/ -4 b)>
#<alt (/ -4 b)>
#<alt (/ -4 b)>
#<alt (/ -4 b)>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 b))>
#<alt (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))>
#<alt (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* 1/96 b))) 1/4)))>
#<alt (/ 6 (pow b 3))>
#<alt (/ (- 6 (* 18 (/ 1 b))) (pow b 3))>
#<alt (/ (- (+ 6 (/ 18 (pow b 2))) (* 18 (/ 1 b))) (pow b 3))>
#<alt (/ (- (+ 6 (/ 18 (pow b 2))) (+ (* 18 (/ 1 b)) (* 18 (/ 1 (pow b 3))))) (pow b 3))>
#<alt (/ 6 (pow b 3))>
#<alt (* -1 (/ (- (* 18 (/ 1 b)) 6) (pow b 3)))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 18 (/ 1 b)) 18) b)) 6) (pow b 3)))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 18 (/ 1 b)) 18) b)) 18) b)) 6) (pow b 3)))>
#<alt 2>
#<alt (+ 2 b)>
#<alt (+ 2 (* b (+ 1 (* 1/2 b))))>
#<alt (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))>
#<alt (* 1/6 (pow b 3))>
#<alt (* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))>
#<alt (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (* 2 (/ 1 (pow b 3)))))))>
#<alt (* 1/6 (pow b 3))>
#<alt (* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))>
#<alt (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))) b)) 1/6)))>
#<alt b>
#<alt (* b (+ 1 (* 1/2 b)))>
#<alt (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))>
#<alt (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))>
#<alt (* 1/6 (pow b 3))>
#<alt (* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))>
#<alt (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))>
#<alt (* 1/6 (pow b 3))>
#<alt (* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))>
#<alt (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))>
#<alt 1>
#<alt (+ 1 (* 1/2 b))>
#<alt (+ 1 (* b (+ 1/2 (* 1/6 b))))>
#<alt (+ 1 (* b (+ 1/2 (* 1/6 b))))>
#<alt (* 1/6 (pow b 2))>
#<alt (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))>
#<alt (* 1/6 (pow b 2))>
#<alt (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))>
#<alt (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt (* 1/2 b)>
#<alt (* b (+ 1/2 (* 1/6 b)))>
#<alt (* b (+ 1/2 (* 1/6 b)))>
#<alt (* b (+ 1/2 (* 1/6 b)))>
#<alt (* 1/6 (pow b 2))>
#<alt (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* 1/6 (pow b 2))>
#<alt (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))>
Calls

39 calls:

TimeVariablePointExpression
2.0ms
b
@0
(/ (+ 2 (/ -4 b)) (* b b))
0.0ms
b
@0
(/ 2 (* b b))
0.0ms
b
@inf
(/ (+ 2 (/ -4 b)) (* b b))
0.0ms
b
@inf
(/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* b 1/6)))))))
0.0ms
b
@0
(/ -4 b)

rewrite407.0ms (4.7%)

Memory
0.6MiB live, 594.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
7 414×accelerator-lowering-fma.f32
7 414×accelerator-lowering-fma.f64
5 118×*-lowering-*.f32
5 118×*-lowering-*.f64
3 632×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02189
113289
2102289
0830178
Stop Event
iter limit
node limit
Counts
13 → 596
Calls
Call 1
Inputs
(/ (exp a) 2)
(exp a)
(/ 2 (* b b))
(* b b)
(/ (+ 2 (/ -4 b)) (* b b))
(+ 2 (/ -4 b))
(/ -4 b)
(/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* b 1/6)))))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* b 1/6))))))
(* b (+ 1 (* b (+ 1/2 (* b 1/6)))))
(+ 1 (* b (+ 1/2 (* b 1/6))))
(* b 1/6)
(* b (+ 1/2 (* b 1/6)))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (exp.f64 a))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (exp.f64 a) #s(literal -2 binary64)))
(neg.f64 (/.f64 (exp.f64 a) #s(literal -2 binary64)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) #s(literal -2 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (exp.f64 a))))
(/.f64 (exp.f64 a) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (exp.f64 a)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (exp.f64 a)))
(/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 a))) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (exp.f64 a)) #s(literal -1 binary64))
(*.f64 (exp.f64 a) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (exp.f64 a))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (exp.f64 a) #s(literal -2 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) #s(literal -1/2 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (exp.f64 a)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (exp.f64 a)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 a))) #s(literal -1/2 binary64))
(exp.f64 a)
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 a)))
(neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)))
(*.f64 #s(literal 1 binary64) (exp.f64 a))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 a)))
(exp.f64 (*.f64 (log.f64 (/.f64 b (/.f64 #s(literal 2 binary64) b))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -2 binary64) (*.f64 b b)))
(neg.f64 (/.f64 #s(literal -2 binary64) (*.f64 b b)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 b b))))
(neg.f64 (/.f64 (/.f64 #s(literal 2 binary64) b) (-.f64 #s(literal 0 binary64) b)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 b (/.f64 #s(literal 2 binary64) b))))
(neg.f64 (/.f64 (/.f64 #s(literal -2 binary64) b) b))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 #s(literal 2 binary64) b)))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 b b) #s(literal -2 binary64)))
(/.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b b)))
(/.f64 (/.f64 #s(literal 2 binary64) b) b)
(/.f64 (/.f64 #s(literal -2 binary64) b) (-.f64 #s(literal 0 binary64) b))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) b) #s(literal 1 binary64)) b)
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) b)) (-.f64 #s(literal 0 binary64) b))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) b) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) b))
(pow.f64 (/.f64 b (/.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 b b)))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 b b)))
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 2 binary64) b))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -2 binary64) b) (/.f64 #s(literal -1 binary64) b))
(*.f64 (pow.f64 (/.f64 b (/.f64 #s(literal 2 binary64) b)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 b (/.f64 #s(literal 2 binary64) b)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 2 binary64) b) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) b))
(exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b b)))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)))
(/.f64 (*.f64 b b) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) #s(literal -1 binary64))
(pow.f64 b #s(literal 2 binary64))
(pow.f64 (*.f64 b b) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) b) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 b)) #s(literal 2 binary64))
(*.f64 b b)
(*.f64 (*.f64 b b) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 b b))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b b)))
(*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 0 binary64) b))
(*.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) #s(literal -1 binary64)) b)
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 b b)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 #s(literal -4 binary64) b)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 b b)) (*.f64 (/.f64 #s(literal -4 binary64) b) (/.f64 #s(literal 1 binary64) (*.f64 b b))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 #s(literal -4 binary64) b)) (/.f64 #s(literal 2 binary64) (*.f64 b b)))
(+.f64 (*.f64 (/.f64 #s(literal -4 binary64) b) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (/.f64 #s(literal 2 binary64) (*.f64 b b)))
(exp.f64 (*.f64 (log.f64 (*.f64 b (/.f64 b (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) b)) (*.f64 b b)))
(-.f64 (/.f64 (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) b))) (*.f64 b b)) (/.f64 (/.f64 (/.f64 #s(literal 16 binary64) (*.f64 b b)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) b))) (*.f64 b b)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b b))) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) b)) (*.f64 b b)))
(-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) b)))) (/.f64 (/.f64 #s(literal 16 binary64) (*.f64 b b)) (*.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) b)))))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b b)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 #s(literal -4 binary64) b)))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b b)) (*.f64 (/.f64 #s(literal -4 binary64) b) (/.f64 #s(literal 1 binary64) (*.f64 b b))))
(fma.f64 (/.f64 #s(literal -4 binary64) b) (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 #s(literal 2 binary64) (*.f64 b b)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 #s(literal -4 binary64) b)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b)) (*.f64 (/.f64 #s(literal -4 binary64) b) (/.f64 #s(literal 1 binary64) (*.f64 b b))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 b b)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 #s(literal -4 binary64) b)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 b b)) (*.f64 (/.f64 #s(literal -4 binary64) b) (/.f64 #s(literal 1 binary64) (*.f64 b b))))
(fma.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 b b)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 #s(literal -4 binary64) b)))
(fma.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 b b)) (*.f64 (/.f64 #s(literal -4 binary64) b) (/.f64 #s(literal 1 binary64) (*.f64 b b))))
(fma.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 2 binary64) b) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 #s(literal -4 binary64) b)))
(fma.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 2 binary64) b) (*.f64 (/.f64 #s(literal -4 binary64) b) (/.f64 #s(literal 1 binary64) (*.f64 b b))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 #s(literal -4 binary64) b)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 2 binary64) (*.f64 (/.f64 #s(literal -4 binary64) b) (/.f64 #s(literal 1 binary64) (*.f64 b b))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 #s(literal -4 binary64) b) (/.f64 #s(literal 2 binary64) (*.f64 b b)))
(fma.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 #s(literal 1 binary64) b) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 #s(literal -4 binary64) b)))
(fma.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 #s(literal 1 binary64) b) (*.f64 (/.f64 #s(literal -4 binary64) b) (/.f64 #s(literal 1 binary64) (*.f64 b b))))
(fma.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 #s(literal -4 binary64) b)))
(fma.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -4 binary64) b) (/.f64 #s(literal 1 binary64) (*.f64 b b))))
(fma.f64 (/.f64 #s(literal -2 binary64) b) (/.f64 #s(literal -1 binary64) b) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 #s(literal -4 binary64) b)))
(fma.f64 (/.f64 #s(literal -2 binary64) b) (/.f64 #s(literal -1 binary64) b) (*.f64 (/.f64 #s(literal -4 binary64) b) (/.f64 #s(literal 1 binary64) (*.f64 b b))))
(fma.f64 (pow.f64 (/.f64 b (/.f64 #s(literal 2 binary64) b)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 b (/.f64 #s(literal 2 binary64) b)) #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 #s(literal -4 binary64) b)))
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(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))) (*.f64 b (+.f64 #s(literal -1/2 binary64) (*.f64 b #s(literal -1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal -1/2 binary64) (*.f64 b #s(literal -1/6 binary64)))))))
(*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 b (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))) (*.f64 b (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))) (+.f64 (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))) #s(literal -1 binary64)))))))
(*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))) (*.f64 b (+.f64 #s(literal -1/2 binary64) (*.f64 b #s(literal -1/6 binary64))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal -1/2 binary64) (*.f64 b #s(literal -1/6 binary64))))))))
(*.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))) #s(literal -1 binary64))))
(*.f64 b #s(literal 1/6 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/6 binary64)))
(*.f64 #s(literal 1/6 binary64) b)
(*.f64 (*.f64 b #s(literal 1/6 binary64)) #s(literal 1 binary64))
(+.f64 (*.f64 b (*.f64 b #s(literal 1/6 binary64))) (/.f64 b #s(literal 2 binary64)))
(+.f64 (/.f64 b #s(literal 2 binary64)) (*.f64 b (*.f64 b #s(literal 1/6 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 b b) #s(literal 1/4 binary64)) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/6 binary64))))) (/.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) #s(literal 1/36 binary64))) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/6 binary64))))))
(fma.f64 b #s(literal 1/2 binary64) (*.f64 b (*.f64 b #s(literal 1/6 binary64))))
(fma.f64 b (*.f64 b #s(literal 1/6 binary64)) (/.f64 b #s(literal 2 binary64)))
(fma.f64 (*.f64 b b) #s(literal 1/6 binary64) (/.f64 b #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal 1/6 binary64))) (/.f64 b #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 b #s(literal 2 binary64)) (*.f64 b (*.f64 b #s(literal 1/6 binary64))))
(fma.f64 #s(literal 1/2 binary64) b (*.f64 b (*.f64 b #s(literal 1/6 binary64))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 b b) (/.f64 b #s(literal 2 binary64)))
(fma.f64 (*.f64 b #s(literal 1/6 binary64)) b (/.f64 b #s(literal 2 binary64)))
(fma.f64 (*.f64 b (*.f64 b #s(literal 1/6 binary64))) #s(literal 1 binary64) (/.f64 b #s(literal 2 binary64)))
(fma.f64 (/.f64 b #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal 1/6 binary64))))
(/.f64 b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 b b) #s(literal 1/4 binary64)) (*.f64 (*.f64 b (*.f64 b #s(literal 1/6 binary64))) (-.f64 (*.f64 b (*.f64 b #s(literal 1/6 binary64))) (/.f64 b #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64)) (*.f64 b (*.f64 b b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/6 binary64)))) (*.f64 (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/6 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 b (-.f64 (*.f64 b #s(literal 1/36 binary64)) #s(literal 1/12 binary64)))) (*.f64 b (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/6 binary64))) (*.f64 b (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b b) #s(literal -1/36 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 b (-.f64 (*.f64 b #s(literal 1/36 binary64)) #s(literal 1/12 binary64)))) (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64))) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/6 binary64))) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b b) #s(literal -1/36 binary64))) b)))
(/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64)) (*.f64 b (*.f64 b b)))) (+.f64 (*.f64 (*.f64 b b) #s(literal 1/4 binary64)) (*.f64 (*.f64 b (*.f64 b #s(literal 1/6 binary64))) (-.f64 (*.f64 b (*.f64 b #s(literal 1/6 binary64))) (/.f64 b #s(literal 2 binary64))))))
(/.f64 (*.f64 (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/6 binary64))))) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/6 binary64)))))
(/.f64 (*.f64 b (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 b (-.f64 (*.f64 b #s(literal 1/36 binary64)) #s(literal 1/12 binary64)))))
(/.f64 (*.f64 b (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64)))) (+.f64 (*.f64 (*.f64 b b) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/12 binary64) b))))
(/.f64 (*.f64 b (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b b) #s(literal -1/36 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/6 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64))) b) (+.f64 #s(literal 1/4 binary64) (*.f64 b (-.f64 (*.f64 b #s(literal 1/36 binary64)) #s(literal 1/12 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b b) #s(literal -1/36 binary64))) b) (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/6 binary64))))
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64)) (*.f64 b (*.f64 b b))))) (neg.f64 (+.f64 (*.f64 (*.f64 b b) #s(literal 1/4 binary64)) (*.f64 (*.f64 b (*.f64 b #s(literal 1/6 binary64))) (-.f64 (*.f64 b (*.f64 b #s(literal 1/6 binary64))) (/.f64 b #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (*.f64 (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/6 binary64)))))) (neg.f64 (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/6 binary64))))))
(/.f64 (neg.f64 (*.f64 b (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 b (-.f64 (*.f64 b #s(literal 1/36 binary64)) #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (*.f64 b (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b b) #s(literal -1/36 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/6 binary64)))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64))) b)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 b (-.f64 (*.f64 b #s(literal 1/36 binary64)) #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b b) #s(literal -1/36 binary64))) b)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/6 binary64)))))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64)) (*.f64 b (*.f64 b b))) (*.f64 #s(literal 1/8 binary64) (*.f64 b (*.f64 b b)))) (+.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) #s(literal 1/36 binary64))) (-.f64 (*.f64 (*.f64 b b) #s(literal 1/4 binary64)) (*.f64 (*.f64 b (*.f64 b #s(literal 1/6 binary64))) (/.f64 b #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) #s(literal 1/36 binary64))) (*.f64 (*.f64 b b) #s(literal 1/4 binary64))) (-.f64 (*.f64 b (*.f64 b #s(literal 1/6 binary64))) (/.f64 b #s(literal 2 binary64))))
(/.f64 (*.f64 b (+.f64 (neg.f64 (*.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64))) #s(literal -1/8 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 b (-.f64 (*.f64 b #s(literal 1/36 binary64)) #s(literal 1/12 binary64))))))
(/.f64 (*.f64 b (+.f64 #s(literal -1/4 binary64) (neg.f64 (*.f64 (*.f64 b b) #s(literal -1/36 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/6 binary64)))))
(/.f64 (*.f64 b (+.f64 (*.f64 (*.f64 b b) #s(literal 1/36 binary64)) #s(literal -1/4 binary64))) (+.f64 (*.f64 b #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64)) (*.f64 b (*.f64 b b))))) (+.f64 (*.f64 (*.f64 b b) #s(literal 1/4 binary64)) (*.f64 (*.f64 b (*.f64 b #s(literal 1/6 binary64))) (-.f64 (*.f64 b (*.f64 b #s(literal 1/6 binary64))) (/.f64 b #s(literal 2 binary64))))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/6 binary64)))))) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/6 binary64)))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64))) b)) (+.f64 #s(literal 1/4 binary64) (*.f64 b (-.f64 (*.f64 b #s(literal 1/36 binary64)) #s(literal 1/12 binary64)))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b b) #s(literal -1/36 binary64))) b)) (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/6 binary64))))
(*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))
(*.f64 b (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))) b)
(*.f64 (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 b (-.f64 (*.f64 b #s(literal 1/36 binary64)) #s(literal 1/12 binary64))))) b))
(*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b b) #s(literal -1/36 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/6 binary64)))) b))
(*.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64)) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 b b) #s(literal 1/4 binary64)) (*.f64 (*.f64 b (*.f64 b #s(literal 1/6 binary64))) (-.f64 (*.f64 b (*.f64 b #s(literal 1/6 binary64))) (/.f64 b #s(literal 2 binary64)))))))
(*.f64 (*.f64 (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/6 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/6 binary64))))))
(*.f64 (*.f64 b (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 b (-.f64 (*.f64 b #s(literal 1/36 binary64)) #s(literal 1/12 binary64))))))
(*.f64 (*.f64 b (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b b) #s(literal -1/36 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/6 binary64)))))
(*.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64))) b) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 b (-.f64 (*.f64 b #s(literal 1/36 binary64)) #s(literal 1/12 binary64))))))
(*.f64 (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b b) #s(literal -1/36 binary64))) b) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/6 binary64)))))
(*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))) #s(literal 1 binary64)) b)

simplify399.0ms (4.6%)

Memory
26.8MiB live, 705.6MiB allocated
Algorithm
egg-herbie
Rules
14 634×accelerator-lowering-fma.f32
14 634×accelerator-lowering-fma.f64
3 934×*-lowering-*.f32
3 934×*-lowering-*.f64
3 096×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0134984
1394976
21102904
33447900
08105818
Stop Event
iter limit
node limit
Counts
156 → 156
Calls
Call 1
Inputs
1/2
(+ 1/2 (* 1/2 a))
(+ 1/2 (* a (+ 1/2 (* 1/4 a))))
(+ 1/2 (* a (+ 1/2 (* a (+ 1/4 (* 1/12 a))))))
(* 1/2 (exp a))
(* 1/2 (exp a))
(* 1/2 (exp a))
(* 1/2 (exp a))
(* 1/2 (exp a))
(* 1/2 (exp a))
(* 1/2 (exp a))
(* 1/2 (exp a))
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)
(/ 2 (pow b 2))
(/ 2 (pow b 2))
(/ 2 (pow b 2))
(/ 2 (pow b 2))
(/ 2 (pow b 2))
(/ 2 (pow b 2))
(/ 2 (pow b 2))
(/ 2 (pow b 2))
(/ 2 (pow b 2))
(/ 2 (pow b 2))
(/ 2 (pow b 2))
(/ 2 (pow b 2))
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(/ -4 (pow b 3))
(/ (- (* 2 b) 4) (pow b 3))
(/ (- (* 2 b) 4) (pow b 3))
(/ (- (* 2 b) 4) (pow b 3))
(/ 2 (pow b 2))
(/ (- 2 (* 4 (/ 1 b))) (pow b 2))
(/ (- 2 (* 4 (/ 1 b))) (pow b 2))
(/ (- 2 (* 4 (/ 1 b))) (pow b 2))
(/ 2 (pow b 2))
(/ (- 2 (* 4 (/ 1 b))) (pow b 2))
(/ (- 2 (* 4 (/ 1 b))) (pow b 2))
(/ (- 2 (* 4 (/ 1 b))) (pow b 2))
(/ -4 b)
(/ (- (* 2 b) 4) b)
(/ (- (* 2 b) 4) b)
(/ (- (* 2 b) 4) b)
2
(- 2 (* 4 (/ 1 b)))
(- 2 (* 4 (/ 1 b)))
(- 2 (* 4 (/ 1 b)))
2
(- 2 (* 4 (/ 1 b)))
(- 2 (* 4 (/ 1 b)))
(- 2 (* 4 (/ 1 b)))
(/ -4 b)
(/ -4 b)
(/ -4 b)
(/ -4 b)
(/ -4 b)
(/ -4 b)
(/ -4 b)
(/ -4 b)
(/ -4 b)
(/ -4 b)
(/ -4 b)
(/ -4 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 (* 1/96 b))) 1/4)))
(/ 6 (pow b 3))
(/ (- 6 (* 18 (/ 1 b))) (pow b 3))
(/ (- (+ 6 (/ 18 (pow b 2))) (* 18 (/ 1 b))) (pow b 3))
(/ (- (+ 6 (/ 18 (pow b 2))) (+ (* 18 (/ 1 b)) (* 18 (/ 1 (pow b 3))))) (pow b 3))
(/ 6 (pow b 3))
(* -1 (/ (- (* 18 (/ 1 b)) 6) (pow b 3)))
(* -1 (/ (- (* -1 (/ (- (* 18 (/ 1 b)) 18) b)) 6) (pow b 3)))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 18 (/ 1 b)) 18) b)) 18) b)) 6) (pow b 3)))
2
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(* 1/6 (pow b 3))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (* 2 (/ 1 (pow b 3)))))))
(* 1/6 (pow b 3))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))) b)) 1/6)))
b
(* b (+ 1 (* 1/2 b)))
(* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))
(* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))
(* 1/6 (pow b 3))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* 1/6 (pow b 3))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))
1
(+ 1 (* 1/2 b))
(+ 1 (* b (+ 1/2 (* 1/6 b))))
(+ 1 (* b (+ 1/2 (* 1/6 b))))
(* 1/6 (pow b 2))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* 1/6 (pow b 2))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* 1/6 b)
(* 1/6 b)
(* 1/6 b)
(* 1/6 b)
(* 1/6 b)
(* 1/6 b)
(* 1/6 b)
(* 1/6 b)
(* 1/6 b)
(* 1/6 b)
(* 1/6 b)
(* 1/6 b)
(* 1/2 b)
(* b (+ 1/2 (* 1/6 b)))
(* b (+ 1/2 (* 1/6 b)))
(* b (+ 1/2 (* 1/6 b)))
(* 1/6 (pow b 2))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(* 1/6 (pow b 2))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/2 a))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) a))
(+ 1/2 (* a (+ 1/2 (* 1/4 a))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))))
(+ 1/2 (* a (+ 1/2 (* a (+ 1/4 (* 1/12 a))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 a #s(literal 1/12 binary64)))))))
(* 1/2 (exp a))
(*.f64 #s(literal 1/2 binary64) (exp.f64 a))
(* 1/2 (exp a))
(*.f64 #s(literal 1/2 binary64) (exp.f64 a))
(* 1/2 (exp a))
(*.f64 #s(literal 1/2 binary64) (exp.f64 a))
(* 1/2 (exp a))
(*.f64 #s(literal 1/2 binary64) (exp.f64 a))
(* 1/2 (exp a))
(*.f64 #s(literal 1/2 binary64) (exp.f64 a))
(* 1/2 (exp a))
(*.f64 #s(literal 1/2 binary64) (exp.f64 a))
(* 1/2 (exp a))
(*.f64 #s(literal 1/2 binary64) (exp.f64 a))
(* 1/2 (exp a))
(*.f64 #s(literal 1/2 binary64) (exp.f64 a))
1
#s(literal 1 binary64)
(+ 1 a)
(+.f64 a #s(literal 1 binary64))
(+ 1 (* a (+ 1 (* 1/2 a))))
(+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 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)
(/ 2 (pow b 2))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(/ 2 (pow b 2))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(/ 2 (pow b 2))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(/ 2 (pow b 2))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(/ 2 (pow b 2))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(/ 2 (pow b 2))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(/ 2 (pow b 2))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(/ 2 (pow b 2))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(/ 2 (pow b 2))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(/ 2 (pow b 2))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(/ 2 (pow b 2))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(/ 2 (pow b 2))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(/ -4 (pow b 3))
(/.f64 #s(literal -4 binary64) (*.f64 b (*.f64 b b)))
(/ (- (* 2 b) 4) (pow b 3))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b)) (*.f64 b b))
(/ (- (* 2 b) 4) (pow b 3))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b)) (*.f64 b b))
(/ (- (* 2 b) 4) (pow b 3))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b)) (*.f64 b b))
(/ 2 (pow b 2))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(/ (- 2 (* 4 (/ 1 b))) (pow b 2))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b)) (*.f64 b b))
(/ (- 2 (* 4 (/ 1 b))) (pow b 2))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b)) (*.f64 b b))
(/ (- 2 (* 4 (/ 1 b))) (pow b 2))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b)) (*.f64 b b))
(/ 2 (pow b 2))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(/ (- 2 (* 4 (/ 1 b))) (pow b 2))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b)) (*.f64 b b))
(/ (- 2 (* 4 (/ 1 b))) (pow b 2))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b)) (*.f64 b b))
(/ (- 2 (* 4 (/ 1 b))) (pow b 2))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b)) (*.f64 b b))
(/ -4 b)
(/.f64 #s(literal -4 binary64) b)
(/ (- (* 2 b) 4) b)
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b))
(/ (- (* 2 b) 4) b)
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b))
(/ (- (* 2 b) 4) b)
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b))
2
#s(literal 2 binary64)
(- 2 (* 4 (/ 1 b)))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b))
(- 2 (* 4 (/ 1 b)))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b))
(- 2 (* 4 (/ 1 b)))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b))
2
#s(literal 2 binary64)
(- 2 (* 4 (/ 1 b)))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b))
(- 2 (* 4 (/ 1 b)))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b))
(- 2 (* 4 (/ 1 b)))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b))
(/ -4 b)
(/.f64 #s(literal -4 binary64) b)
(/ -4 b)
(/.f64 #s(literal -4 binary64) b)
(/ -4 b)
(/.f64 #s(literal -4 binary64) b)
(/ -4 b)
(/.f64 #s(literal -4 binary64) b)
(/ -4 b)
(/.f64 #s(literal -4 binary64) b)
(/ -4 b)
(/.f64 #s(literal -4 binary64) b)
(/ -4 b)
(/.f64 #s(literal -4 binary64) b)
(/ -4 b)
(/.f64 #s(literal -4 binary64) b)
(/ -4 b)
(/.f64 #s(literal -4 binary64) b)
(/ -4 b)
(/.f64 #s(literal -4 binary64) b)
(/ -4 b)
(/.f64 #s(literal -4 binary64) b)
(/ -4 b)
(/.f64 #s(literal -4 binary64) b)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 b))
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64)))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 b b) #s(literal 1/48 binary64)))))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* 1/96 b))) 1/4)))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/48 binary64) (*.f64 b #s(literal 1/96 binary64)))))))
(/ 6 (pow b 3))
(/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))
(/ (- 6 (* 18 (/ 1 b))) (pow b 3))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) b)) (*.f64 b (*.f64 b b)))
(/ (- (+ 6 (/ 18 (pow b 2))) (* 18 (/ 1 b))) (pow b 3))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 18 binary64) b) #s(literal -18 binary64)) b)) (*.f64 b (*.f64 b b)))
(/ (- (+ 6 (/ 18 (pow b 2))) (+ (* 18 (/ 1 b)) (* 18 (/ 1 (pow b 3))))) (pow b 3))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 18 binary64) (/.f64 #s(literal 18 binary64) b)) b) #s(literal -18 binary64)) b)) (*.f64 b (*.f64 b b)))
(/ 6 (pow b 3))
(/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))
(* -1 (/ (- (* 18 (/ 1 b)) 6) (pow b 3)))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) b)) (*.f64 b (*.f64 b b)))
(* -1 (/ (- (* -1 (/ (- (* 18 (/ 1 b)) 18) b)) 6) (pow b 3)))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 18 binary64) b) #s(literal -18 binary64)) b)) (*.f64 b (*.f64 b b)))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 18 (/ 1 b)) 18) b)) 18) b)) 6) (pow b 3)))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 18 binary64) (/.f64 #s(literal 18 binary64) b)) b) #s(literal -18 binary64)) b)) (*.f64 b (*.f64 b b)))
2
#s(literal 2 binary64)
(+ 2 b)
(+.f64 #s(literal 2 binary64) b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b))))))
(* 1/6 (pow b 3))
(*.f64 #s(literal 1/6 binary64) (*.f64 b (*.f64 b b)))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(*.f64 (*.f64 b b) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b)))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b)))))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (* 2 (/ 1 (pow b 3)))))))
(+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b))))))
(* 1/6 (pow b 3))
(*.f64 #s(literal 1/6 binary64) (*.f64 b (*.f64 b b)))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(*.f64 (*.f64 b b) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b)))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))) b)) 1/6)))
(+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b))))))
b
(* b (+ 1 (* 1/2 b)))
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))
(* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b)))))
(* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b)))))
(* 1/6 (pow b 3))
(*.f64 #s(literal 1/6 binary64) (*.f64 b (*.f64 b b)))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(*.f64 (*.f64 b b) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b)))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b)))))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b)))))
(* 1/6 (pow b 3))
(*.f64 #s(literal 1/6 binary64) (*.f64 b (*.f64 b b)))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(*.f64 (*.f64 b b) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b)))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b)))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 b))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))
(+ 1 (* b (+ 1/2 (* 1/6 b))))
(+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b))))
(+ 1 (* b (+ 1/2 (* 1/6 b))))
(+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b))))
(* 1/6 (pow b 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 b b))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b)))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b))))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b))))
(* 1/6 (pow b 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 b b))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b)))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b))))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b))))
(* 1/6 b)
(*.f64 #s(literal 1/6 binary64) b)
(* 1/6 b)
(*.f64 #s(literal 1/6 binary64) b)
(* 1/6 b)
(*.f64 #s(literal 1/6 binary64) b)
(* 1/6 b)
(*.f64 #s(literal 1/6 binary64) b)
(* 1/6 b)
(*.f64 #s(literal 1/6 binary64) b)
(* 1/6 b)
(*.f64 #s(literal 1/6 binary64) b)
(* 1/6 b)
(*.f64 #s(literal 1/6 binary64) b)
(* 1/6 b)
(*.f64 #s(literal 1/6 binary64) b)
(* 1/6 b)
(*.f64 #s(literal 1/6 binary64) b)
(* 1/6 b)
(*.f64 #s(literal 1/6 binary64) b)
(* 1/6 b)
(*.f64 #s(literal 1/6 binary64) b)
(* 1/6 b)
(*.f64 #s(literal 1/6 binary64) b)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* b (+ 1/2 (* 1/6 b)))
(*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b)))
(* b (+ 1/2 (* 1/6 b)))
(*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b)))
(* b (+ 1/2 (* 1/6 b)))
(*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b)))
(* 1/6 (pow b 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 b b))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b)))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b)))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b)))
(* 1/6 (pow b 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 b b))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b)))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b)))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b)))

eval114.0ms (1.3%)

Memory
12.2MiB live, 253.2MiB allocated
Compiler

Compiled 18 354 to 2 042 computations (88.9% saved)

prune116.0ms (1.3%)

Memory
-16.1MiB live, 259.9MiB allocated
Pruning

23 alts after pruning (15 fresh and 8 done)

PrunedKeptTotal
New7747781
Fresh2810
Picked235
Done055
Total77823801
Accuracy
100.0%
Counts
801 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
13.9%
(/.f64 (/.f64 #s(literal 2 binary64) b) b)
18.1%
(/.f64 (/.f64 #s(literal -4 binary64) b) (*.f64 b b))
38.5%
(/.f64 (+.f64 #s(literal 4 binary64) (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) #s(literal -2 binary64))))) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))))
40.3%
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal -1 binary64) (*.f64 b (+.f64 #s(literal -1/2 binary64) (*.f64 b #s(literal -1/6 binary64))))))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))))
68.1%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
66.3%
(/.f64 (exp.f64 a) #s(literal 2 binary64))
14.0%
(/.f64 #s(literal 2 binary64) (*.f64 b b))
56.0%
(/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (*.f64 b #s(literal 2 binary64))) (expm1.f64 b)))
44.0%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b b)) (*.f64 #s(literal 1/2 binary64) (*.f64 b b)))) (-.f64 b (*.f64 #s(literal 1/2 binary64) (*.f64 b b))))))
40.1%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))) (*.f64 b (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))) b) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))) (+.f64 (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))) #s(literal -1 binary64)))))))
48.1%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (*.f64 b #s(literal 1/2 binary64)))))
78.6%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
38.4%
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1/2 binary64))))))
18.4%
(/.f64 #s(literal -4 binary64) (*.f64 b (*.f64 b b)))
38.2%
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/48 binary64) (*.f64 b (*.f64 b #s(literal -1/480 binary64))))))))
37.5%
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 b b) #s(literal 1/48 binary64)))))
38.2%
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64)))
40.9%
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
41.1%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
12.4%
(*.f64 a (*.f64 (*.f64 a a) #s(literal -1/48 binary64)))
3.6%
(*.f64 a #s(literal 1/4 binary64))
28.1%
#s(literal 1 binary64)
40.3%
#s(literal 1/2 binary64)
Compiler

Compiled 869 to 376 computations (56.7% saved)

regimes54.0ms (0.6%)

Memory
30.0MiB live, 106.1MiB allocated
Counts
34 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(*.f64 a #s(literal 1/4 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(/.f64 (/.f64 #s(literal 2 binary64) b) b)
(*.f64 a (*.f64 (*.f64 a a) #s(literal -1/48 binary64)))
(/.f64 #s(literal -4 binary64) (*.f64 b (*.f64 b b)))
(/.f64 (/.f64 #s(literal -4 binary64) b) (*.f64 b b))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (*.f64 b #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b)) (*.f64 b b))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 b (*.f64 b #s(literal 1/48 binary64))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 b b) #s(literal 1/48 binary64)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/48 binary64) (*.f64 b (*.f64 b #s(literal -1/480 binary64))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b b)) (*.f64 #s(literal 1/2 binary64) (*.f64 b b)))) (-.f64 b (*.f64 #s(literal 1/2 binary64) (*.f64 b b))))))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal -1 binary64) (*.f64 b (+.f64 #s(literal -1/2 binary64) (*.f64 b #s(literal -1/6 binary64))))))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))) (*.f64 b (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))) b) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))) (+.f64 (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))) #s(literal -1 binary64)))))))
(/.f64 (+.f64 #s(literal 4 binary64) (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) #s(literal -2 binary64))))) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))))
(/.f64 (exp.f64 a) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) a)))))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64))))))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (*.f64 b #s(literal 2 binary64))) (expm1.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64))))))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (*.f64 (exp.f64 a) (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))
Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Calls

5 calls:

13.0ms
a
11.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
10.0ms
b
8.0ms
(exp.f64 b)
8.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
99.2%1a
99.2%1b
99.2%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
99.2%1(exp.f64 a)
99.2%1(exp.f64 b)
Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes57.0ms (0.7%)

Memory
-24.8MiB live, 89.0MiB allocated
Counts
32 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(*.f64 a #s(literal 1/4 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(/.f64 (/.f64 #s(literal 2 binary64) b) b)
(*.f64 a (*.f64 (*.f64 a a) #s(literal -1/48 binary64)))
(/.f64 #s(literal -4 binary64) (*.f64 b (*.f64 b b)))
(/.f64 (/.f64 #s(literal -4 binary64) b) (*.f64 b b))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (*.f64 b #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b)) (*.f64 b b))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 b (*.f64 b #s(literal 1/48 binary64))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 b b) #s(literal 1/48 binary64)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/48 binary64) (*.f64 b (*.f64 b #s(literal -1/480 binary64))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b b)) (*.f64 #s(literal 1/2 binary64) (*.f64 b b)))) (-.f64 b (*.f64 #s(literal 1/2 binary64) (*.f64 b b))))))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal -1 binary64) (*.f64 b (+.f64 #s(literal -1/2 binary64) (*.f64 b #s(literal -1/6 binary64))))))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))) (*.f64 b (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))) b) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))) (+.f64 (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))) #s(literal -1 binary64)))))))
(/.f64 (+.f64 #s(literal 4 binary64) (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) #s(literal -2 binary64))))) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))))
(/.f64 (exp.f64 a) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) a)))))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64))))))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (*.f64 b #s(literal 2 binary64))) (expm1.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64))))))))
Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) a)))))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64))))))))
Calls

4 calls:

26.0ms
b
10.0ms
(exp.f64 b)
10.0ms
a
8.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
99.5%2a
98.9%2b
99.5%2(exp.f64 a)
98.9%2(exp.f64 b)
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes24.0ms (0.3%)

Memory
-30.7MiB live, 46.3MiB allocated
Counts
29 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(*.f64 a #s(literal 1/4 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(/.f64 (/.f64 #s(literal 2 binary64) b) b)
(*.f64 a (*.f64 (*.f64 a a) #s(literal -1/48 binary64)))
(/.f64 #s(literal -4 binary64) (*.f64 b (*.f64 b b)))
(/.f64 (/.f64 #s(literal -4 binary64) b) (*.f64 b b))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (*.f64 b #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b)) (*.f64 b b))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 b (*.f64 b #s(literal 1/48 binary64))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 b b) #s(literal 1/48 binary64)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/48 binary64) (*.f64 b (*.f64 b #s(literal -1/480 binary64))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b b)) (*.f64 #s(literal 1/2 binary64) (*.f64 b b)))) (-.f64 b (*.f64 #s(literal 1/2 binary64) (*.f64 b b))))))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal -1 binary64) (*.f64 b (+.f64 #s(literal -1/2 binary64) (*.f64 b #s(literal -1/6 binary64))))))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))) (*.f64 b (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))) b) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))) (+.f64 (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))) #s(literal -1 binary64)))))))
(/.f64 (+.f64 #s(literal 4 binary64) (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) #s(literal -2 binary64))))) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))))
(/.f64 (exp.f64 a) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) a)))))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64))))))))
Outputs
(/.f64 (exp.f64 a) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) a)))))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64))))))))
Calls

2 calls:

9.0ms
a
7.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
99.5%2a
99.5%2(exp.f64 a)
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes39.0ms (0.4%)

Memory
4.7MiB live, 87.0MiB allocated
Counts
28 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(*.f64 a #s(literal 1/4 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(/.f64 (/.f64 #s(literal 2 binary64) b) b)
(*.f64 a (*.f64 (*.f64 a a) #s(literal -1/48 binary64)))
(/.f64 #s(literal -4 binary64) (*.f64 b (*.f64 b b)))
(/.f64 (/.f64 #s(literal -4 binary64) b) (*.f64 b b))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (*.f64 b #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b)) (*.f64 b b))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 b (*.f64 b #s(literal 1/48 binary64))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 b b) #s(literal 1/48 binary64)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/48 binary64) (*.f64 b (*.f64 b #s(literal -1/480 binary64))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b b)) (*.f64 #s(literal 1/2 binary64) (*.f64 b b)))) (-.f64 b (*.f64 #s(literal 1/2 binary64) (*.f64 b b))))))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal -1 binary64) (*.f64 b (+.f64 #s(literal -1/2 binary64) (*.f64 b #s(literal -1/6 binary64))))))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))) (*.f64 b (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))) b) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))) (+.f64 (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))) #s(literal -1 binary64)))))))
(/.f64 (+.f64 #s(literal 4 binary64) (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) #s(literal -2 binary64))))) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))))
(/.f64 (exp.f64 a) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
Outputs
(/.f64 (exp.f64 a) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
Calls

4 calls:

11.0ms
a
11.0ms
b
7.0ms
(exp.f64 b)
7.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
97.4%3b
97.4%3(exp.f64 b)
97.9%2a
97.9%2(exp.f64 a)
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes29.0ms (0.3%)

Memory
21.4MiB live, 59.4MiB allocated
Counts
27 → 4
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(*.f64 a #s(literal 1/4 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(/.f64 (/.f64 #s(literal 2 binary64) b) b)
(*.f64 a (*.f64 (*.f64 a a) #s(literal -1/48 binary64)))
(/.f64 #s(literal -4 binary64) (*.f64 b (*.f64 b b)))
(/.f64 (/.f64 #s(literal -4 binary64) b) (*.f64 b b))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (*.f64 b #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b)) (*.f64 b b))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 b (*.f64 b #s(literal 1/48 binary64))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 b b) #s(literal 1/48 binary64)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/48 binary64) (*.f64 b (*.f64 b #s(literal -1/480 binary64))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b b)) (*.f64 #s(literal 1/2 binary64) (*.f64 b b)))) (-.f64 b (*.f64 #s(literal 1/2 binary64) (*.f64 b b))))))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal -1 binary64) (*.f64 b (+.f64 #s(literal -1/2 binary64) (*.f64 b #s(literal -1/6 binary64))))))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))) (*.f64 b (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))) b) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))) (+.f64 (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))) #s(literal -1 binary64)))))))
(/.f64 (+.f64 #s(literal 4 binary64) (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) #s(literal -2 binary64))))) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))))
(/.f64 (exp.f64 a) #s(literal 2 binary64))
Outputs
#s(literal 1 binary64)
(/.f64 (exp.f64 a) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal -1 binary64) (*.f64 b (+.f64 #s(literal -1/2 binary64) (*.f64 b #s(literal -1/6 binary64))))))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))))
(/.f64 #s(literal -4 binary64) (*.f64 b (*.f64 b b)))
Calls

3 calls:

11.0ms
a
8.0ms
b
7.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
94.8%4b
75.4%2a
75.4%2(exp.f64 a)
Compiler

Compiled 10 to 7 computations (30% saved)

regimes115.0ms (1.3%)

Memory
-6.8MiB live, 31.3MiB allocated
Counts
26 → 3
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(*.f64 a #s(literal 1/4 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(/.f64 (/.f64 #s(literal 2 binary64) b) b)
(*.f64 a (*.f64 (*.f64 a a) #s(literal -1/48 binary64)))
(/.f64 #s(literal -4 binary64) (*.f64 b (*.f64 b b)))
(/.f64 (/.f64 #s(literal -4 binary64) b) (*.f64 b b))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (*.f64 b #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b)) (*.f64 b b))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 b (*.f64 b #s(literal 1/48 binary64))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 b b) #s(literal 1/48 binary64)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/48 binary64) (*.f64 b (*.f64 b #s(literal -1/480 binary64))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b b)) (*.f64 #s(literal 1/2 binary64) (*.f64 b b)))) (-.f64 b (*.f64 #s(literal 1/2 binary64) (*.f64 b b))))))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal -1 binary64) (*.f64 b (+.f64 #s(literal -1/2 binary64) (*.f64 b #s(literal -1/6 binary64))))))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))) (*.f64 b (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))) b) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))) (+.f64 (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))) #s(literal -1 binary64)))))))
(/.f64 (+.f64 #s(literal 4 binary64) (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) #s(literal -2 binary64))))) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))))
Outputs
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))) (*.f64 b (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))) b) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))) (+.f64 (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))) #s(literal -1 binary64)))))))
(/.f64 #s(literal -4 binary64) (*.f64 b (*.f64 b b)))
Calls

2 calls:

104.0ms
b
8.0ms
a
Results
AccuracySegmentsBranch
62.1%2a
74.9%3b
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes12.0ms (0.1%)

Memory
-18.3MiB live, 19.5MiB allocated
Counts
24 → 3
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(*.f64 a #s(literal 1/4 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(/.f64 (/.f64 #s(literal 2 binary64) b) b)
(*.f64 a (*.f64 (*.f64 a a) #s(literal -1/48 binary64)))
(/.f64 #s(literal -4 binary64) (*.f64 b (*.f64 b b)))
(/.f64 (/.f64 #s(literal -4 binary64) b) (*.f64 b b))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (*.f64 b #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b)) (*.f64 b b))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 b (*.f64 b #s(literal 1/48 binary64))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 b b) #s(literal 1/48 binary64)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/48 binary64) (*.f64 b (*.f64 b #s(literal -1/480 binary64))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b b)) (*.f64 #s(literal 1/2 binary64) (*.f64 b b)))) (-.f64 b (*.f64 #s(literal 1/2 binary64) (*.f64 b b))))))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal -1 binary64) (*.f64 b (+.f64 #s(literal -1/2 binary64) (*.f64 b #s(literal -1/6 binary64))))))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) #s(literal 2 binary64))))))
Outputs
#s(literal 1 binary64)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal -1 binary64) (*.f64 b (+.f64 #s(literal -1/2 binary64) (*.f64 b #s(literal -1/6 binary64))))))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))))
(/.f64 #s(literal -4 binary64) (*.f64 b (*.f64 b b)))
Calls

1 calls:

7.0ms
b
Results
AccuracySegmentsBranch
74.9%3b
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory
13.5MiB live, 13.5MiB allocated
Counts
22 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(*.f64 a #s(literal 1/4 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(/.f64 (/.f64 #s(literal 2 binary64) b) b)
(*.f64 a (*.f64 (*.f64 a a) #s(literal -1/48 binary64)))
(/.f64 #s(literal -4 binary64) (*.f64 b (*.f64 b b)))
(/.f64 (/.f64 #s(literal -4 binary64) b) (*.f64 b b))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (*.f64 b #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b)) (*.f64 b b))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 b (*.f64 b #s(literal 1/48 binary64))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 b b) #s(literal 1/48 binary64)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/48 binary64) (*.f64 b (*.f64 b #s(literal -1/480 binary64))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b b)) (*.f64 #s(literal 1/2 binary64) (*.f64 b b)))) (-.f64 b (*.f64 #s(literal 1/2 binary64) (*.f64 b b))))))
Outputs
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
Calls

1 calls:

7.0ms
b
Results
AccuracySegmentsBranch
71.9%2b
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory
17.4MiB live, 17.4MiB allocated
Counts
19 → 4
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(*.f64 a #s(literal 1/4 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(/.f64 (/.f64 #s(literal 2 binary64) b) b)
(*.f64 a (*.f64 (*.f64 a a) #s(literal -1/48 binary64)))
(/.f64 #s(literal -4 binary64) (*.f64 b (*.f64 b b)))
(/.f64 (/.f64 #s(literal -4 binary64) b) (*.f64 b b))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (*.f64 b #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b)) (*.f64 b b))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 b (*.f64 b #s(literal 1/48 binary64))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 b b) #s(literal 1/48 binary64)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1/2 binary64))))))
Outputs
#s(literal 1 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 b (*.f64 b #s(literal 1/48 binary64))))))
(*.f64 a (*.f64 (*.f64 a a) #s(literal -1/48 binary64)))
(/.f64 #s(literal -4 binary64) (*.f64 b (*.f64 b b)))
Calls

1 calls:

6.0ms
b
Results
AccuracySegmentsBranch
73.9%4b
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory
-32.1MiB live, 12.3MiB allocated
Counts
15 → 4
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(*.f64 a #s(literal 1/4 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(/.f64 (/.f64 #s(literal 2 binary64) b) b)
(*.f64 a (*.f64 (*.f64 a a) #s(literal -1/48 binary64)))
(/.f64 #s(literal -4 binary64) (*.f64 b (*.f64 b b)))
(/.f64 (/.f64 #s(literal -4 binary64) b) (*.f64 b b))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (*.f64 b #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b)) (*.f64 b b))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
Outputs
#s(literal 1 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
(*.f64 a (*.f64 (*.f64 a a) #s(literal -1/48 binary64)))
(/.f64 #s(literal -4 binary64) (*.f64 b (*.f64 b b)))
Calls

1 calls:

8.0ms
b
Results
AccuracySegmentsBranch
73.8%4b
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0.1%)

Memory
8.1MiB live, 8.1MiB allocated
Counts
10 → 4
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(*.f64 a #s(literal 1/4 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(/.f64 (/.f64 #s(literal 2 binary64) b) b)
(*.f64 a (*.f64 (*.f64 a a) #s(literal -1/48 binary64)))
Outputs
#s(literal 1 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
(*.f64 a (*.f64 (*.f64 a a) #s(literal -1/48 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
Calls

1 calls:

4.0ms
b
Results
AccuracySegmentsBranch
70.7%4b
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Memory
9.2MiB live, 9.2MiB allocated
Counts
9 → 3
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(*.f64 a #s(literal 1/4 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(/.f64 (/.f64 #s(literal 2 binary64) b) b)
Outputs
#s(literal 1 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
Calls

1 calls:

3.0ms
b
Results
AccuracySegmentsBranch
66.9%3b
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes10.0ms (0.1%)

Memory
-18.9MiB live, 18.5MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(*.f64 a #s(literal 1/4 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
Outputs
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
Calls

2 calls:

3.0ms
a
3.0ms
b
Results
AccuracySegmentsBranch
41.1%1a
56.5%2b
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

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

1 calls:

3.0ms
b
Results
AccuracySegmentsBranch
56.3%2b
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes2.0ms (0%)

Memory
5.2MiB live, 5.2MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(*.f64 a #s(literal 1/4 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))
Outputs
#s(literal 1 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))
Calls

1 calls:

2.0ms
b
Results
AccuracySegmentsBranch
56.0%2b
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes2.0ms (0%)

Memory
5.0MiB live, 5.0MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(*.f64 a #s(literal 1/4 binary64))
Outputs
#s(literal 1 binary64)
#s(literal 1/2 binary64)
Calls

1 calls:

2.0ms
b
Results
AccuracySegmentsBranch
55.6%2b
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Memory
6.8MiB live, 6.8MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
Outputs
#s(literal 1/2 binary64)
Calls

2 calls:

1.0ms
a
1.0ms
b
Results
AccuracySegmentsBranch
40.3%1a
40.3%1b
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9998588927092785
0.9999556289749721
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
0.9998588927092785
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999556289749721
0.9999651448561885
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch37.0ms (0.4%)

Memory
-25.5MiB live, 51.7MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
narrow-enough
narrow-enough
Steps
TimeLeftRight
8.0ms
1.2868220303645615e+85
6.446210161799581e+103
7.0ms
1.6527829477397247e+45
4.849434299098379e+45
14.0ms
-4455565.8336958075
-0.07900930591222757
Samples
15.0ms320×0valid
Compiler

Compiled 669 to 448 computations (33% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-exp: 5.0ms (57.5% of total)
ival-div: 2.0ms (23% of total)
ival-add: 1.0ms (11.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch28.0ms (0.3%)

Memory
-2.0MiB live, 43.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
3.3518779559420474e+71
8.609970054807933e+77
12.0ms
-4455565.8336958075
-0.07900930591222757
Samples
14.0ms288×0valid
Compiler

Compiled 1 111 to 524 computations (52.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-exp: 5.0ms (61.9% of total)
ival-div: 2.0ms (24.8% of total)
ival-add: 1.0ms (12.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch22.0ms (0.3%)

Memory
24.9MiB live, 24.9MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
narrow-enough
Steps
TimeLeftRight
8.0ms
1.2868220303645615e+85
6.446210161799581e+103
13.0ms
-4455565.8336958075
-0.07900930591222757
Samples
12.0ms240×0valid
Compiler

Compiled 739 to 464 computations (37.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-exp: 4.0ms (58% of total)
ival-div: 2.0ms (29% of total)
ival-add: 1.0ms (14.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch34.0ms (0.4%)

Memory
-19.0MiB live, 19.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
33.0ms
-4455565.8336958075
-0.07900930591222757
Samples
7.0ms144×0valid
Compiler

Compiled 211 to 173 computations (18% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-exp: 3.0ms (69.6% of total)
ival-div: 1.0ms (23.2% of total)
ival-add: 1.0ms (23.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch38.0ms (0.4%)

Memory
26.0MiB live, 63.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
9.0ms
8.609970054807933e+77
1.0986519291498612e+80
14.0ms
0.0019486321461636283
551.112260535521
12.0ms
-4455565.8336958075
-0.07900930591222757
Samples
21.0ms400×0valid
Compiler

Compiled 531 to 406 computations (23.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-exp: 6.0ms (46.8% of total)
ival-div: 4.0ms (31.2% of total)
ival-add: 2.0ms (15.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch33.0ms (0.4%)

Memory
-27.3MiB live, 56.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
8.609970054807933e+77
1.0986519291498612e+80
12.0ms
0.0019486321461636283
551.112260535521
7.0ms
-0.07900930591222757
-0.05222747470288551
Samples
20.0ms320×0valid
Compiler

Compiled 363 to 279 computations (23.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-div: 6.0ms (45.2% of total)
ival-exp: 5.0ms (37.7% of total)
ival-add: 2.0ms (15.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch31.0ms (0.4%)

Memory
18.2MiB live, 57.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
10.0ms
3.1525860481580905e+147
1.890855075887379e+151
13.0ms
0.0019486321461636283
551.112260535521
5.0ms
-0.07900930591222757
-0.05222747470288551
Samples
17.0ms336×0valid
Compiler

Compiled 367 to 285 computations (22.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-exp: 5.0ms (52.1% of total)
ival-div: 2.0ms (20.8% of total)
ival-add: 2.0ms (20.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch20.0ms (0.2%)

Memory
-5.5MiB live, 32.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
0.0019486321461636283
551.112260535521
5.0ms
-0.07900930591222757
-0.05222747470288551
Samples
10.0ms208×0valid
Compiler

Compiled 205 to 172 computations (16.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-exp: 3.0ms (50.4% of total)
ival-div: 1.0ms (16.8% of total)
ival-add: 1.0ms (16.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch14.0ms (0.2%)

Memory
-15.6MiB live, 23.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
-4455565.8336958075
-0.07900930591222757
Samples
7.0ms144×0valid
Compiler

Compiled 121 to 110 computations (9.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-exp: 2.0ms (48% of total)
ival-div: 1.0ms (24% of total)
ival-add: 1.0ms (24% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch6.0ms (0.1%)

Memory
10.3MiB live, 10.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
5.0ms
-0.07900930591222757
-0.05222747470288551
Samples
3.0ms64×0valid
Compiler

Compiled 61 to 55 computations (9.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-exp: 1.0ms (56.3% of total)
ival-div: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch13.0ms (0.1%)

Memory
22.0MiB live, 22.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
-4455565.8336958075
-0.07900930591222757
Samples
7.0ms144×0valid
Compiler

Compiled 121 to 110 computations (9.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-exp: 2.0ms (48.4% of total)
ival-div: 1.0ms (24.2% of total)
ival-add: 1.0ms (24.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch15.0ms (0.2%)

Memory
-17.2MiB live, 24.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
14.0ms
-4455565.8336958075
-0.07900930591222757
Samples
10.0ms144×0valid
Compiler

Compiled 85 to 83 computations (2.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 3.0ms (44.8% of total)
ival-exp: 2.0ms (29.9% of total)
ival-add: 1.0ms (14.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify23.0ms (0.3%)

Memory
-8.8MiB live, 30.2MiB allocated
Algorithm
egg-herbie
Rules
70×+-commutative_binary64
68×*-commutative_binary64
22×sub-neg_binary64
20×neg-sub0_binary64
20×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0149465
1205465
2217465
3229465
4246465
5262465
6276465
7283465
8287465
9288465
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (<=.f64 (exp.f64 a) #s(literal 4503149267407759/4503599627370496 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) a)))))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 (exp.f64 a) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) a)))))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))))))
(if (<=.f64 (exp.f64 a) #s(literal 4503419483385401/4503599627370496 binary64)) (/.f64 (exp.f64 a) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(if (<=.f64 b #s(literal -35/2 binary64)) #s(literal 1 binary64) (if (<=.f64 b #s(literal 4799999999999999789600047340593586005337964544 binary64)) (/.f64 (exp.f64 a) #s(literal 2 binary64)) (if (<=.f64 b #s(literal 5000000000000000009578375428673343681079775636325960055764017572996896621019943779806180725540901617664 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal -1 binary64) (*.f64 b (+.f64 #s(literal -1/2 binary64) (*.f64 b #s(literal -1/6 binary64))))))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))) (/.f64 #s(literal -4 binary64) (*.f64 b (*.f64 b b))))))
(if (<=.f64 b #s(literal -6980579422424269/4503599627370496 binary64)) #s(literal 1 binary64) (if (<=.f64 b #s(literal 280000000000000000321333304781609280627972100690964841222179916714808304467968 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))) (*.f64 b (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))) b) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))) (+.f64 (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))) #s(literal -1 binary64))))))) (/.f64 #s(literal -4 binary64) (*.f64 b (*.f64 b b)))))
(if (<=.f64 b #s(literal -5/4 binary64)) #s(literal 1 binary64) (if (<=.f64 b #s(literal 5000000000000000009578375428673343681079775636325960055764017572996896621019943779806180725540901617664 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal -1 binary64) (*.f64 b (+.f64 #s(literal -1/2 binary64) (*.f64 b #s(literal -1/6 binary64))))))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))) (/.f64 #s(literal -4 binary64) (*.f64 b (*.f64 b b)))))
(if (<=.f64 b #s(literal -6980579422424269/4503599627370496 binary64)) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))))
(if (<=.f64 b #s(literal -5404319552844595/2251799813685248 binary64)) #s(literal 1 binary64) (if (<=.f64 b #s(literal 420 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 b (*.f64 b #s(literal 1/48 binary64)))))) (if (<=.f64 b #s(literal 107999999999999998449054278856678858191624178020640389042556104641532270814953472 binary64)) (*.f64 a (*.f64 (*.f64 a a) #s(literal -1/48 binary64))) (/.f64 #s(literal -4 binary64) (*.f64 b (*.f64 b b))))))
(if (<=.f64 b #s(literal -1098878309078401/18014398509481984 binary64)) #s(literal 1 binary64) (if (<=.f64 b #s(literal 350 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a)) (if (<=.f64 b #s(literal 107999999999999998449054278856678858191624178020640389042556104641532270814953472 binary64)) (*.f64 a (*.f64 (*.f64 a a) #s(literal -1/48 binary64))) (/.f64 #s(literal -4 binary64) (*.f64 b (*.f64 b b))))))
(if (<=.f64 b #s(literal -5404319552844595/72057594037927936 binary64)) #s(literal 1 binary64) (if (<=.f64 b #s(literal 410 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a)) (if (<=.f64 b #s(literal 18499999999999998646055283283631955420282484413554662935929678042788519188719029911682496813477946737797293383499353454602022889511360814432240170696704 binary64)) (*.f64 a (*.f64 (*.f64 a a) #s(literal -1/48 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 b b)))))
(if (<=.f64 b #s(literal -1098878309078401/18014398509481984 binary64)) #s(literal 1 binary64) (if (<=.f64 b #s(literal 7/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a)) (/.f64 #s(literal 2 binary64) (*.f64 b b))))
(if (<=.f64 b #s(literal -4278419646001971/4503599627370496 binary64)) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64))))
(if (<=.f64 b #s(literal -5404319552844595/72057594037927936 binary64)) #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a)))
(if (<=.f64 b #s(literal -8106479329266893/4503599627370496 binary64)) #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b)))
(if (<=.f64 b #s(literal -2116691824864133/2251799813685248 binary64)) #s(literal 1 binary64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (<=.f64 (exp.f64 a) #s(literal 4503149267407759/4503599627370496 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) a)))))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))))))
(if (<=.f64 (exp.f64 a) #s(literal 4503149267407759/4503599627370496 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64))))))) (+.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))) (+.f64 (exp.f64 b) #s(literal 1 binary64)))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 (exp.f64 a) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) a)))))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 (exp.f64 a) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64))))))) (+.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))) (+.f64 (exp.f64 b) #s(literal 1 binary64)))))
(if (<=.f64 (exp.f64 a) #s(literal 4503419483385401/4503599627370496 binary64)) (/.f64 (exp.f64 a) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(if (<=.f64 (exp.f64 a) #s(literal 4503419483385401/4503599627370496 binary64)) (/.f64 (exp.f64 a) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
(if (<=.f64 b #s(literal -35/2 binary64)) #s(literal 1 binary64) (if (<=.f64 b #s(literal 4799999999999999789600047340593586005337964544 binary64)) (/.f64 (exp.f64 a) #s(literal 2 binary64)) (if (<=.f64 b #s(literal 5000000000000000009578375428673343681079775636325960055764017572996896621019943779806180725540901617664 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal -1 binary64) (*.f64 b (+.f64 #s(literal -1/2 binary64) (*.f64 b #s(literal -1/6 binary64))))))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))) (/.f64 #s(literal -4 binary64) (*.f64 b (*.f64 b b))))))
(if (<=.f64 b #s(literal -35/2 binary64)) #s(literal 1 binary64) (if (<=.f64 b #s(literal 4799999999999999789600047340593586005337964544 binary64)) (/.f64 (exp.f64 a) #s(literal 2 binary64)) (if (<=.f64 b #s(literal 5000000000000000009578375428673343681079775636325960055764017572996896621019943779806180725540901617664 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal -1 binary64) (*.f64 b (+.f64 #s(literal -1/2 binary64) (*.f64 b #s(literal -1/6 binary64))))))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (*.f64 b (-.f64 #s(literal -1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))) (/.f64 #s(literal -4 binary64) (*.f64 b (*.f64 b b))))))
(if (<=.f64 b #s(literal -6980579422424269/4503599627370496 binary64)) #s(literal 1 binary64) (if (<=.f64 b #s(literal 280000000000000000321333304781609280627972100690964841222179916714808304467968 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))) (*.f64 b (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))) b) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))) (+.f64 (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))) #s(literal -1 binary64))))))) (/.f64 #s(literal -4 binary64) (*.f64 b (*.f64 b b)))))
(if (<=.f64 b #s(literal -6980579422424269/4503599627370496 binary64)) #s(literal 1 binary64) (if (<=.f64 b #s(literal 280000000000000000321333304781609280627972100690964841222179916714808304467968 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))) (*.f64 b (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))))) (/.f64 #s(literal -4 binary64) (*.f64 b (*.f64 b b)))))
(if (<=.f64 b #s(literal -5/4 binary64)) #s(literal 1 binary64) (if (<=.f64 b #s(literal 5000000000000000009578375428673343681079775636325960055764017572996896621019943779806180725540901617664 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal -1 binary64) (*.f64 b (+.f64 #s(literal -1/2 binary64) (*.f64 b #s(literal -1/6 binary64))))))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))) (/.f64 #s(literal -4 binary64) (*.f64 b (*.f64 b b)))))
(if (<=.f64 b #s(literal -5/4 binary64)) #s(literal 1 binary64) (if (<=.f64 b #s(literal 5000000000000000009578375428673343681079775636325960055764017572996896621019943779806180725540901617664 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal -1 binary64) (*.f64 b (+.f64 #s(literal -1/2 binary64) (*.f64 b #s(literal -1/6 binary64))))))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (*.f64 b (-.f64 #s(literal -1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))) (/.f64 #s(literal -4 binary64) (*.f64 b (*.f64 b b)))))
(if (<=.f64 b #s(literal -6980579422424269/4503599627370496 binary64)) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))))
(if (<=.f64 b #s(literal -5404319552844595/2251799813685248 binary64)) #s(literal 1 binary64) (if (<=.f64 b #s(literal 420 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 b (*.f64 b #s(literal 1/48 binary64)))))) (if (<=.f64 b #s(literal 107999999999999998449054278856678858191624178020640389042556104641532270814953472 binary64)) (*.f64 a (*.f64 (*.f64 a a) #s(literal -1/48 binary64))) (/.f64 #s(literal -4 binary64) (*.f64 b (*.f64 b b))))))
(if (<=.f64 b #s(literal -1098878309078401/18014398509481984 binary64)) #s(literal 1 binary64) (if (<=.f64 b #s(literal 350 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a)) (if (<=.f64 b #s(literal 107999999999999998449054278856678858191624178020640389042556104641532270814953472 binary64)) (*.f64 a (*.f64 (*.f64 a a) #s(literal -1/48 binary64))) (/.f64 #s(literal -4 binary64) (*.f64 b (*.f64 b b))))))
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(if (<=.f64 b #s(literal -1098878309078401/18014398509481984 binary64)) #s(literal 1 binary64) (if (<=.f64 b #s(literal 7/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a)) (/.f64 #s(literal 2 binary64) (*.f64 b b))))
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(if (<=.f64 b #s(literal -4278419646001971/4503599627370496 binary64)) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64))))
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(if (<=.f64 b #s(literal -8106479329266893/4503599627370496 binary64)) #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b)))
(if (<=.f64 b #s(literal -8106479329266893/4503599627370496 binary64)) #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64))))
(if (<=.f64 b #s(literal -2116691824864133/2251799813685248 binary64)) #s(literal 1 binary64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)

soundness1.4s (15.6%)

Memory
31.2MiB live, 1 182.7MiB allocated
Rules
18 438×accelerator-lowering-fma.f32
18 438×accelerator-lowering-fma.f64
14 634×accelerator-lowering-fma.f32
14 634×accelerator-lowering-fma.f64
13 066×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0134984
1394976
21102904
33447900
08105818
03053023
19282940
228882850
086142503
02189
113289
2102289
0830178
05375029
115934853
248484821
080814482
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
node limit
Compiler

Compiled 1 904 to 1 163 computations (38.9% saved)

preprocess103.0ms (1.2%)

Memory
-8.9MiB live, 183.6MiB allocated
Compiler

Compiled 974 to 318 computations (67.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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