Quotient of sum of exps

Time bar (total: 8.6s)

analyze16.0ms (0.2%)

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%0%1.6%7
96%93.7%3.9%0.1%0%0%2.3%8
97.2%93.7%2.7%0.1%0%0%3.5%9
97.8%93.7%2.1%0.1%0%0%4.1%10
98.5%93.7%1.5%0.1%0%0%4.8%11
98.8%93.7%1.1%0.1%0%0%5.1%12
Compiler

Compiled 11 to 7 computations (36.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-exp: 1.0ms (42% of total)
ival-add: 1.0ms (42% of total)
ival-div: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample1.1s (12.7%)

Results
691.0ms8256×0valid
160.0ms3058×0unsamplable
Precisions
Click to see histograms. Total time spent on operations: 321.0ms
ival-exp: 160.0ms (49.8% of total)
ival-div: 80.0ms (24.9% of total)
ival-add: 68.0ms (21.2% of total)
const: 9.0ms (2.8% of total)
backward-pass: 4.0ms (1.2% of total)
Bogosity

preprocess129.0ms (1.5%)

Algorithm
egg-herbie
Rules
1462×fnmadd-define
1282×fmsub-define
1192×fnmsub-define
992×fma-define
966×fmm-def
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01856
14256
27956
315356
432149
565349
6110449
7196849
8279349
9379349
10414646
11478545
12539944
13594544
14621144
15625144
16626144
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)))
(recip (+ 1 (exp (- b a))))
(/ (exp (neg a)) (+ (exp (neg a)) (exp b)))
(recip (fmsub (exp a) (exp b) -1))
(/ (exp a) (+ (exp a) (exp (neg b))))
(recip (+ 1 (exp (- (neg a) b))))
(neg (/ (exp (neg a)) (+ (exp (neg a)) (exp b))))
(recip (fnmsub (exp a) (exp b) 1))
(neg (/ (exp a) (+ (exp a) (exp (neg b)))))
(recip (- -1 (exp (- (neg a) b))))
(/ (exp b) (+ (exp b) (exp a)))
(recip (+ 1 (exp (- a b))))

explain64.0ms (0.7%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
10-0-(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
00-0-(exp.f64 a)
00-0-(exp.f64 b)
00-0-b
00-0-a
00-0-(+.f64 (exp.f64 a) (exp.f64 b))
Results
35.0ms512×0valid
Compiler

Compiled 54 to 20 computations (63% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-div: 7.0ms (42% of total)
ival-exp: 6.0ms (36% of total)
ival-add: 3.0ms (18% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 10 to 6 computations (40% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 10 to 6 computations (40% saved)

simplify4.0ms (0%)

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

localize27.0ms (0.3%)

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))
accuracy99.6%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Results
20.0ms256×0valid
Compiler

Compiled 22 to 7 computations (68.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-exp: 7.0ms (63.9% of total)
ival-div: 2.0ms (18.3% of total)
ival-add: 1.0ms (9.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series6.0ms (0.1%)

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)))

rewrite318.0ms (3.7%)

Algorithm
batch-egg-rewrite
Rules
2620×*-lowering-*.f32
2620×*-lowering-*.f64
2426×/-lowering-/.f32
2426×/-lowering-/.f64
2028×fma-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0617
12817
221517
3214717
0858317
Stop Event
iter limit
node limit
Counts
4 → 277
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 (/.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))))
(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 #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 (exp.f64 a) (exp.f64 b)) (-.f64 #s(literal 0 binary64) (exp.f64 a))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (exp.f64 a)))
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (neg.f64 (/.f64 #s(literal 1 binary64) (exp.f64 a))))
(/.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (+.f64 a b))))))
(/.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) (-.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (*.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 a #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)))))
(/.f64 (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (+.f64 a b))) (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64)))))
(/.f64 (*.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 6 binary64))) (pow.f64 (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))) #s(literal 3 binary64)))) (*.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a #s(literal 4 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))) (-.f64 (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 2 binary64))))))))
(/.f64 (*.f64 (exp.f64 a) (-.f64 (exp.f64 (*.f64 a #s(literal 4 binary64))) (pow.f64 (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))) #s(literal 2 binary64)))) (*.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (+.f64 (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (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 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64))))) (*.f64 (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64)))) (+.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (*.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 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64)))) (+.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64)))) (exp.f64 (+.f64 a b)))))
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(/.f64 (neg.f64 (*.f64 (-.f64 (exp.f64 (*.f64 a #s(literal 6 binary64))) (exp.f64 (*.f64 b #s(literal 6 binary64)))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.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 (exp.f64 a) (exp.f64 b)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (exp.f64 (*.f64 a #s(literal 4 binary64))) (exp.f64 (*.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64)))) (-.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (+.f64 a b))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (exp.f64 (*.f64 a #s(literal 6 binary64))) (pow.f64 (-.f64 (exp.f64 a) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 (exp.f64 (*.f64 b #s(literal 6 binary64))) (pow.f64 (-.f64 (exp.f64 a) (exp.f64 b)) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (*.f64 (/.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 a) (exp.f64 b))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (pow.f64 (/.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 a) (exp.f64 b))))))
(/.f64 (neg.f64 (*.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 9 binary64))) (exp.f64 (*.f64 b #s(literal 9 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (+.f64 a b))))))) (neg.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 6 binary64))) (-.f64 (exp.f64 (*.f64 b #s(literal 6 binary64))) (exp.f64 (*.f64 (+.f64 a b) #s(literal 3 binary64)))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (exp.f64 (*.f64 a #s(literal 6 binary64))) (exp.f64 (*.f64 b #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (+.f64 a b))))))) (neg.f64 (-.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (exp.f64 (*.f64 a #s(literal 6 binary64))) (exp.f64 (*.f64 b #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))))) (neg.f64 (+.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 (neg.f64 (*.f64 (-.f64 (exp.f64 (*.f64 a #s(literal 4 binary64))) (exp.f64 (*.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))))) (neg.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64))))))
(pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (*.f64 a #s(literal 2 binary64))))) #s(literal -1 binary64))
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal 1 binary64))
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (*.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (+.f64 a b))))))
(*.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (+.f64 a b))))) #s(literal 1 binary64)))
(*.f64 (+.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (+.f64 a b)))) (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (+.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (+.f64 a b))))))
(*.f64 (+.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (+.f64 a b)))) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (+.f64 a b)))))))
(*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))
(*.f64 (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (exp.f64 b)))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (+.f64 a b)))))))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 a #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)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (+.f64 a b))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))) (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))) (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 (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) (exp.f64 a))))
(*.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 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64))))) (+.f64 (exp.f64 a) (exp.f64 b)))
(*.f64 (/.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a #s(literal 6 binary64))) (pow.f64 (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))) #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a #s(literal 4 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))) (-.f64 (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 2 binary64)))))))
(*.f64 (/.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (-.f64 (exp.f64 (*.f64 a #s(literal 4 binary64))) (pow.f64 (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))) #s(literal 2 binary64)))) (+.f64 (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64)))) (exp.f64 (+.f64 a b))))
(*.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 (+.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64)))) (exp.f64 (+.f64 a b))))
(*.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 (exp.f64 a) (exp.f64 b))))
(*.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)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (+.f64 a b))))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (+.f64 a b)))))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (+.f64 a b)))))))
(*.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 #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))))
(*.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 a #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 (exp.f64 (*.f64 a #s(literal 6 binary64))) (-.f64 (exp.f64 (*.f64 b #s(literal 6 binary64))) (exp.f64 (*.f64 (+.f64 a b) #s(literal 3 binary64)))))))
(*.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 a #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))))))
(exp.f64 b)
(exp.f64 (*.f64 b #s(literal 1 binary64)))
(pow.f64 (exp.f64 b) #s(literal 1 binary64))

simplify230.0ms (2.7%)

Algorithm
egg-herbie
Rules
3640×*-lowering-*.f32
3640×*-lowering-*.f64
1968×fma-lowering-fma.f32
1968×fma-lowering-fma.f64
1936×fnmadd-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0120714
1360669
21225655
35177650
08588650
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 #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 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal -3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))))))
(+ (* 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 (/.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 (*.f64 a (+.f64 (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (-.f64 (/.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (+.f64 (*.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 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 4 binary64))) (/.f64 #s(literal 2/3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))))))) (/.f64 #s(literal -3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 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 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(+.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 b (-.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 #s(literal 0 binary64) b)) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(+.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 b (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (*.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 (-.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/6 binary64))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))) b))))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
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 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (*.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)

eval38.0ms (0.4%)

Compiler

Compiled 9353 to 1019 computations (89.1% saved)

prune50.0ms (0.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New3694373
Fresh000
Picked101
Done000
Total3704374
Accuracy
99.7%
Counts
374 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.1%
(/.f64 (exp.f64 a) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))))
68.3%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
80.8%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
81.2%
(+.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))))))
Compiler

Compiled 60 to 37 computations (38.3% saved)

simplify248.0ms (2.9%)

Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
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 #s(literal 1/2 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 #s(literal 1/2 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)))
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
cost-diff6464
(+.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))))
cost-diff6592
(*.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)))))
cost-diff13248
(+.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))))))
Rules
1960×fnmadd-define
1784×fma-lowering-fma.f32
1784×fma-lowering-fma.f64
1760×fmsub-define
1462×fmm-def
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
022162
150157
2134155
3285153
4649152
51043147
61476145
71942145
83188145
94901145
107232145
117791145
127956145
08005145
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ (/ 1 (+ 1 (exp b))) (* a (+ (/ 1 (+ 1 (exp b))) (/ -1 (pow (+ 1 (exp b)) 2)))))
(/ 1 (+ 1 (exp b)))
1
(+ 1 (exp b))
(exp b)
b
(* a (+ (/ 1 (+ 1 (exp b))) (/ -1 (pow (+ 1 (exp b)) 2))))
a
(+ (/ 1 (+ 1 (exp b))) (/ -1 (pow (+ 1 (exp b)) 2)))
(/ -1 (pow (+ 1 (exp b)) 2))
-1
(pow (+ 1 (exp b)) 2)
2
(/ 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)))))
(exp a)
a
(+ (+ 1 (exp b)) (* a (+ 1 (* a 1/2))))
(+ 1 (exp b))
1
(exp b)
b
(* a (+ 1 (* a 1/2)))
(+ 1 (* a 1/2))
(* a 1/2)
1/2
Outputs
(+ (/ 1 (+ 1 (exp b))) (* a (+ (/ 1 (+ 1 (exp b))) (/ -1 (pow (+ 1 (exp b)) 2)))))
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) a) (/.f64 a (-.f64 #s(literal -1 binary64) (exp.f64 b)))) (+.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
#s(literal 1 binary64)
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(exp b)
(exp.f64 b)
b
(* a (+ (/ 1 (+ 1 (exp b))) (/ -1 (pow (+ 1 (exp b)) 2))))
(/.f64 (+.f64 a (/.f64 a (-.f64 #s(literal -1 binary64) (exp.f64 b)))) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
a
(+ (/ 1 (+ 1 (exp b))) (/ -1 (pow (+ 1 (exp b)) 2)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 b)))) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ -1 (pow (+ 1 (exp b)) 2))
(/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))
-1
#s(literal -1 binary64)
(pow (+ 1 (exp b)) 2)
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(/ 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)))))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))))))
(exp a)
(exp.f64 a)
a
(+ (+ 1 (exp b)) (* a (+ 1 (* a 1/2))))
(+.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))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
1
#s(literal 1 binary64)
(exp b)
(exp.f64 b)
b
(* a (+ 1 (* a 1/2)))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))
(+ 1 (* a 1/2))
(+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))
(* a 1/2)
(*.f64 a #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)

localize147.0ms (1.7%)

Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(exp.f64 a)
accuracy100.0%
(/.f64 (exp.f64 a) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))))
accuracy100.0%
(+.f64 #s(literal 1 binary64) (exp.f64 b))
accuracy100.0%
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 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%
(exp.f64 b)
accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
accuracy100.0%
(+.f64 #s(literal 1 binary64) (exp.f64 b))
accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
accuracy100.0%
(+.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))))
accuracy100.0%
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))
accuracy100.0%
(+.f64 #s(literal 1 binary64) (exp.f64 b))
Results
58.0ms216×0valid
28.0ms39×2valid
1.0ms1valid
Compiler

Compiled 173 to 23 computations (86.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-add: 10.0ms (25.3% of total)
ival-div: 9.0ms (22.7% of total)
ival-mult: 7.0ms (17.7% of total)
ival-exp: 6.0ms (15.2% of total)
backward-pass: 4.0ms (10.1% of total)
ival-pow: 4.0ms (10.1% of total)
const: 1.0ms (2.5% of total)

series25.0ms (0.3%)

Counts
13 → 204
Calls
Call 1
Inputs
#<alt (+ (/ 1 (+ 1 (exp b))) (* a (+ (/ 1 (+ 1 (exp b))) (/ -1 (pow (+ 1 (exp b)) 2)))))>
#<alt (* a (+ (/ 1 (+ 1 (exp b))) (/ -1 (pow (+ 1 (exp b)) 2))))>
#<alt (+ (/ 1 (+ 1 (exp b))) (/ -1 (pow (+ 1 (exp b)) 2)))>
#<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)))))>
#<alt (+ (+ 1 (exp b)) (* a (+ 1 (* a 1/2))))>
#<alt (pow (+ 1 (exp b)) 2)>
#<alt (* a (+ 1 (* a 1/2)))>
Outputs
#<alt (+ 1/2 (* 1/4 a))>
#<alt (+ 1/2 (+ (* -1/4 b) (* 1/4 a)))>
#<alt (+ 1/2 (+ (* 1/4 a) (* b (- (* -1/16 (* a b)) 1/4))))>
#<alt (+ 1/2 (+ (* 1/4 a) (* b (- (* b (+ (* -1/16 a) (* 1/48 b))) 1/4))))>
#<alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))>
#<alt (* a (- (+ (/ 1 (* a (+ 1 (exp b)))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2))))>
#<alt (* a (- (+ (/ 1 (* a (+ 1 (exp b)))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2))))>
#<alt (* a (- (+ (/ 1 (* a (+ 1 (exp b)))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2))))>
#<alt (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))>
#<alt (* -1 (* a (- (* -1 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (* a (+ 1 (exp b)))))))>
#<alt (* -1 (* a (- (* -1 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (* a (+ 1 (exp b)))))))>
#<alt (* -1 (* a (- (* -1 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (* a (+ 1 (exp b)))))))>
#<alt (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))>
#<alt (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))>
#<alt (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))>
#<alt (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))>
#<alt (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))>
#<alt (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))>
#<alt (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))>
#<alt (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))>
#<alt (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))>
#<alt (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))>
#<alt (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))>
#<alt (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))>
#<alt (* 1/4 a)>
#<alt (+ (* -1/16 (* a (pow b 2))) (* 1/4 a))>
#<alt (+ (* 1/4 a) (* (pow b 2) (+ (* -1/16 a) (* 1/96 (* a (pow b 2))))))>
#<alt (+ (* 1/4 a) (* (pow b 2) (+ (* -1/16 a) (* (pow b 2) (+ (* -17/11520 (* a (pow b 2))) (* 1/96 a))))))>
#<alt (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))>
#<alt (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))>
#<alt (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))>
#<alt (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))>
#<alt (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))>
#<alt (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))>
#<alt (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))>
#<alt (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))>
#<alt 1/4>
#<alt (+ 1/4 (* -1/16 (pow b 2)))>
#<alt (+ 1/4 (* (pow b 2) (- (* 1/96 (pow b 2)) 1/16)))>
#<alt (+ 1/4 (* (pow b 2) (- (* (pow b 2) (+ 1/96 (* -17/11520 (pow b 2)))) 1/16)))>
#<alt (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))>
#<alt (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))>
#<alt (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))>
#<alt (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))>
#<alt (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))>
#<alt (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))>
#<alt (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))>
#<alt (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 b))>
#<alt (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))>
#<alt (+ 1/2 (* b (- (* (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)))) (+ (* 1/2 (/ 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 (* 2 (/ (exp a) (pow a 2)))>
#<alt (/ (+ (* -4 (/ (exp a) a)) (* 2 (exp a))) (pow a 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* -8 (exp a)) (* 4 (* (exp a) (+ 1 (exp b))))) (pow a 2))) (* 2 (exp a))) (* 4 (/ (exp a) a))) (pow a 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* -8 (* (exp a) (+ 1 (exp b)))) (* -2 (+ (* -8 (exp a)) (* 4 (* (exp a) (+ 1 (exp b))))))) (pow a 3))) (* 2 (exp a))) (+ (* -8 (/ (exp a) (pow a 2))) (+ (* 4 (/ (exp a) a)) (* 4 (/ (* (exp a) (+ 1 (exp b))) (pow a 2)))))) (pow a 2))>
#<alt (* 2 (/ (exp a) (pow a 2)))>
#<alt (/ (+ (* -4 (/ (exp a) a)) (* 2 (exp a))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (- (+ (* -8 (/ (exp a) a)) (* 4 (/ (* (exp a) (+ 1 (exp b))) a))) (* -4 (exp a))) a)) (* 2 (exp a))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (+ (* -8 (exp a)) (* 4 (* (exp a) (+ 1 (exp b))))) a)) (* 8 (/ (* (exp a) (+ 1 (exp b))) a))) (+ (* -8 (exp a)) (* 4 (* (exp a) (+ 1 (exp b)))))) a)) (* -4 (exp a))) a)) (* 2 (exp a))) (pow a 2))>
#<alt (/ (exp a) (+ 2 (* a (+ 1 (* 1/2 a)))))>
#<alt (+ (* -1 (/ (* b (exp a)) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2))) (/ (exp a) (+ 2 (* a (+ 1 (* 1/2 a))))))>
#<alt (+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 3))) (* 1/2 (/ (exp a) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)))))) (/ (exp a) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)))) (/ (exp a) (+ 2 (* a (+ 1 (* 1/2 a))))))>
#<alt (+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 3))) (* 1/2 (/ (exp a) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)))) (+ 2 (* a (+ 1 (* 1/2 a)))))) (+ (* -1/2 (/ (exp a) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 3))) (* 1/6 (/ (exp a) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 3))) (* 1/2 (/ (exp a) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)))))) (/ (exp a) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)))) (/ (exp a) (+ 2 (* a (+ 1 (* 1/2 a))))))>
#<alt (/ (exp a) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))>
#<alt (/ (exp a) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))>
#<alt (/ (exp a) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))>
#<alt (/ (exp a) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))>
#<alt (/ (exp a) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))>
#<alt (/ (exp a) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))>
#<alt (/ (exp a) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))>
#<alt (/ (exp a) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))>
#<alt (+ 2 (* a (+ 1 (* 1/2 a))))>
#<alt (+ 2 (+ b (* a (+ 1 (* 1/2 a)))))>
#<alt (+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* 1/2 b)))))>
#<alt (+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 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 (* 1/2 a)))))>
#<alt (* 1/2 (pow a 2))>
#<alt (* (pow a 2) (+ 1/2 (/ 1 a)))>
#<alt (* (pow a 2) (+ 1/2 (+ (/ 1 a) (+ (/ 1 (pow a 2)) (/ (exp b) (pow a 2))))))>
#<alt (* (pow a 2) (+ 1/2 (+ (/ 1 a) (+ (/ 1 (pow a 2)) (/ (exp b) (pow a 2))))))>
#<alt (* 1/2 (pow a 2))>
#<alt (* (pow a 2) (+ 1/2 (/ 1 a)))>
#<alt (* (pow a 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp b)) a)) 1) a))))>
#<alt (* (pow a 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp b)) a)) 1) a))))>
#<alt 4>
#<alt (+ 4 (* 4 b))>
#<alt (+ 4 (* b (+ 4 (* 3 b))))>
#<alt (+ 4 (* b (+ 4 (* b (+ 3 (* 5/3 b))))))>
#<alt (pow (+ 1 (exp b)) 2)>
#<alt (pow (+ 1 (exp b)) 2)>
#<alt (pow (+ 1 (exp b)) 2)>
#<alt (pow (+ 1 (exp b)) 2)>
#<alt (pow (+ 1 (exp b)) 2)>
#<alt (pow (+ 1 (exp b)) 2)>
#<alt (pow (+ 1 (exp b)) 2)>
#<alt (pow (+ 1 (exp b)) 2)>
#<alt a>
#<alt (* a (+ 1 (* 1/2 a)))>
#<alt (* a (+ 1 (* 1/2 a)))>
#<alt (* a (+ 1 (* 1/2 a)))>
#<alt (* 1/2 (pow a 2))>
#<alt (* (pow a 2) (+ 1/2 (/ 1 a)))>
#<alt (* (pow a 2) (+ 1/2 (/ 1 a)))>
#<alt (* (pow a 2) (+ 1/2 (/ 1 a)))>
#<alt (* 1/2 (pow a 2))>
#<alt (* (pow a 2) (+ 1/2 (/ 1 a)))>
#<alt (* (pow a 2) (+ 1/2 (/ 1 a)))>
#<alt (* (pow a 2) (+ 1/2 (/ 1 a)))>
Calls

51 calls:

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

rewrite437.0ms (5.1%)

Algorithm
batch-egg-rewrite
Rules
4118×*-lowering-*.f32
4118×*-lowering-*.f64
4038×/-lowering-/.f32
4038×/-lowering-/.f64
2560×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
022114
1154107
21636104
09707104
Stop Event
iter limit
node limit
Counts
13 → 550
Calls
Call 1
Inputs
(+ (/ 1 (+ 1 (exp b))) (* a (+ (/ 1 (+ 1 (exp b))) (/ -1 (pow (+ 1 (exp b)) 2)))))
(* a (+ (/ 1 (+ 1 (exp b))) (/ -1 (pow (+ 1 (exp b)) 2))))
(+ (/ 1 (+ 1 (exp b))) (/ -1 (pow (+ 1 (exp b)) 2)))
(/ 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)))))
(+ (+ 1 (exp b)) (* a (+ 1 (* a 1/2))))
(pow (+ 1 (exp b)) 2)
(* a (+ 1 (* a 1/2)))
Outputs
(+.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))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))))
(+.f64 (*.f64 a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(+.f64 (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 (/.f64 a (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (/.f64 a (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))))
(-.f64 (*.f64 a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))) (/.f64 #s(literal -1 binary64) (+.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 (-.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 a (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))))) (/.f64 (pow.f64 (*.f64 a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))) #s(literal 2 binary64)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 a (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))))))
(fma.f64 #s(literal 1 binary64) (/.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))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 (/.f64 a (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal 1 binary64) (*.f64 a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) a (+.f64 (/.f64 a (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(fma.f64 a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 (/.f64 a (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(fma.f64 a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 b)))) (*.f64 a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(fma.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 a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))))
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(/.f64 (*.f64 a (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) #s(literal 1/4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) a)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/8 binary64))) a) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a #s(literal 1/2 binary64)) (-.f64 (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) #s(literal 1/4 binary64))) a) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) a)))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))) a)

simplify299.0ms (3.5%)

Algorithm
egg-herbie
Rules
4894×+-lowering-+.f64
4894×+-lowering-+.f32
3392×*-lowering-*.f32
3392×*-lowering-*.f64
1228×sum3-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02962515
19062369
230762292
082452292
Stop Event
iter limit
node limit
Counts
204 → 204
Calls
Call 1
Inputs
(+ 1/2 (* 1/4 a))
(+ 1/2 (+ (* -1/4 b) (* 1/4 a)))
(+ 1/2 (+ (* 1/4 a) (* b (- (* -1/16 (* a b)) 1/4))))
(+ 1/2 (+ (* 1/4 a) (* b (- (* b (+ (* -1/16 a) (* 1/48 b))) 1/4))))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(/ 1 (+ 1 (exp b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))
(* a (- (+ (/ 1 (* a (+ 1 (exp b)))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2))))
(* a (- (+ (/ 1 (* a (+ 1 (exp b)))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2))))
(* a (- (+ (/ 1 (* a (+ 1 (exp b)))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2))))
(* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))
(* -1 (* a (- (* -1 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (* a (+ 1 (exp b)))))))
(* -1 (* a (- (* -1 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (* a (+ 1 (exp b)))))))
(* -1 (* a (- (* -1 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (* a (+ 1 (exp b)))))))
(* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))
(* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))
(* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))
(* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))
(* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))
(* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))
(* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))
(* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))
(* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))
(* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))
(* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))
(* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))
(* 1/4 a)
(+ (* -1/16 (* a (pow b 2))) (* 1/4 a))
(+ (* 1/4 a) (* (pow b 2) (+ (* -1/16 a) (* 1/96 (* a (pow b 2))))))
(+ (* 1/4 a) (* (pow b 2) (+ (* -1/16 a) (* (pow b 2) (+ (* -17/11520 (* a (pow b 2))) (* 1/96 a))))))
(* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))
(* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))
(* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))
(* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))
(* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))
(* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))
(* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))
(* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))
1/4
(+ 1/4 (* -1/16 (pow b 2)))
(+ 1/4 (* (pow b 2) (- (* 1/96 (pow b 2)) 1/16)))
(+ 1/4 (* (pow b 2) (- (* (pow b 2) (+ 1/96 (* -17/11520 (pow b 2)))) 1/16)))
(- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))
(- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))
(- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))
(- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))
(- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))
(- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))
(- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))
(- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))
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)))) (+ (* 1/2 (/ 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))))
(* 2 (/ (exp a) (pow a 2)))
(/ (+ (* -4 (/ (exp a) a)) (* 2 (exp a))) (pow a 2))
(/ (- (+ (* -1 (/ (+ (* -8 (exp a)) (* 4 (* (exp a) (+ 1 (exp b))))) (pow a 2))) (* 2 (exp a))) (* 4 (/ (exp a) a))) (pow a 2))
(/ (- (+ (* -1 (/ (+ (* -8 (* (exp a) (+ 1 (exp b)))) (* -2 (+ (* -8 (exp a)) (* 4 (* (exp a) (+ 1 (exp b))))))) (pow a 3))) (* 2 (exp a))) (+ (* -8 (/ (exp a) (pow a 2))) (+ (* 4 (/ (exp a) a)) (* 4 (/ (* (exp a) (+ 1 (exp b))) (pow a 2)))))) (pow a 2))
(* 2 (/ (exp a) (pow a 2)))
(/ (+ (* -4 (/ (exp a) a)) (* 2 (exp a))) (pow a 2))
(/ (+ (* -1 (/ (- (+ (* -8 (/ (exp a) a)) (* 4 (/ (* (exp a) (+ 1 (exp b))) a))) (* -4 (exp a))) a)) (* 2 (exp a))) (pow a 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (+ (* -8 (exp a)) (* 4 (* (exp a) (+ 1 (exp b))))) a)) (* 8 (/ (* (exp a) (+ 1 (exp b))) a))) (+ (* -8 (exp a)) (* 4 (* (exp a) (+ 1 (exp b)))))) a)) (* -4 (exp a))) a)) (* 2 (exp a))) (pow a 2))
(/ (exp a) (+ 2 (* a (+ 1 (* 1/2 a)))))
(+ (* -1 (/ (* b (exp a)) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2))) (/ (exp a) (+ 2 (* a (+ 1 (* 1/2 a))))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 3))) (* 1/2 (/ (exp a) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)))))) (/ (exp a) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)))) (/ (exp a) (+ 2 (* a (+ 1 (* 1/2 a))))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 3))) (* 1/2 (/ (exp a) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)))) (+ 2 (* a (+ 1 (* 1/2 a)))))) (+ (* -1/2 (/ (exp a) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 3))) (* 1/6 (/ (exp a) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 3))) (* 1/2 (/ (exp a) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)))))) (/ (exp a) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)))) (/ (exp a) (+ 2 (* a (+ 1 (* 1/2 a))))))
(/ (exp a) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))
(/ (exp a) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))
(/ (exp a) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))
(/ (exp a) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))
(/ (exp a) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))
(/ (exp a) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))
(/ (exp a) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))
(/ (exp a) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))
(+ 2 (* a (+ 1 (* 1/2 a))))
(+ 2 (+ b (* a (+ 1 (* 1/2 a)))))
(+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* 1/2 b)))))
(+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+ 1 (exp b))
(+ 1 (+ a (exp b)))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(* 1/2 (pow a 2))
(* (pow a 2) (+ 1/2 (/ 1 a)))
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (+ (/ 1 (pow a 2)) (/ (exp b) (pow a 2))))))
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (+ (/ 1 (pow a 2)) (/ (exp b) (pow a 2))))))
(* 1/2 (pow a 2))
(* (pow a 2) (+ 1/2 (/ 1 a)))
(* (pow a 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp b)) a)) 1) a))))
(* (pow a 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp b)) a)) 1) a))))
4
(+ 4 (* 4 b))
(+ 4 (* b (+ 4 (* 3 b))))
(+ 4 (* b (+ 4 (* b (+ 3 (* 5/3 b))))))
(pow (+ 1 (exp b)) 2)
(pow (+ 1 (exp b)) 2)
(pow (+ 1 (exp b)) 2)
(pow (+ 1 (exp b)) 2)
(pow (+ 1 (exp b)) 2)
(pow (+ 1 (exp b)) 2)
(pow (+ 1 (exp b)) 2)
(pow (+ 1 (exp b)) 2)
a
(* a (+ 1 (* 1/2 a)))
(* a (+ 1 (* 1/2 a)))
(* a (+ 1 (* 1/2 a)))
(* 1/2 (pow a 2))
(* (pow a 2) (+ 1/2 (/ 1 a)))
(* (pow a 2) (+ 1/2 (/ 1 a)))
(* (pow a 2) (+ 1/2 (/ 1 a)))
(* 1/2 (pow a 2))
(* (pow a 2) (+ 1/2 (/ 1 a)))
(* (pow a 2) (+ 1/2 (/ 1 a)))
(* (pow a 2) (+ 1/2 (/ 1 a)))
Outputs
(+ 1/2 (* 1/4 a))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
(+ 1/2 (+ (* -1/4 b) (* 1/4 a)))
(+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal 1/4 binary64) a) (*.f64 #s(literal -1/4 binary64) b)))
(+ 1/2 (+ (* 1/4 a) (* b (- (* -1/16 (* a b)) 1/4))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a)) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 b #s(literal -1/16 binary64))))))
(+ 1/2 (+ (* 1/4 a) (* b (- (* b (+ (* -1/16 a) (* 1/48 b))) 1/4))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a)) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 b (+.f64 (*.f64 a #s(literal -1/16 binary64)) (*.f64 b #s(literal 1/48 binary64)))))))
(+ (* 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 (- (/ 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 (- (/ 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 (- (/ 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 (- (/ 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 (- (/ 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 (- (/ 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 (- (/ 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))))))
(/ 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 (- (/ 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 (- (/ 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 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))
(*.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 (- (+ (/ 1 (* a (+ 1 (exp b)))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2))))
(*.f64 a (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 (/.f64 #s(literal 1 binary64) a) (+.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 (- (+ (/ 1 (* a (+ 1 (exp b)))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2))))
(*.f64 a (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 (/.f64 #s(literal 1 binary64) a) (+.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 (- (+ (/ 1 (* a (+ 1 (exp b)))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2))))
(*.f64 a (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 (/.f64 #s(literal 1 binary64) a) (+.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 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))
(*.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)))))
(* -1 (* a (- (* -1 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (* a (+ 1 (exp b)))))))
(*.f64 a (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 (/.f64 #s(literal 1 binary64) a) (+.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)))))
(* -1 (* a (- (* -1 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (* a (+ 1 (exp b)))))))
(*.f64 a (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 (/.f64 #s(literal 1 binary64) a) (+.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)))))
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(/ (+ (* -4 (/ (exp a) a)) (* 2 (exp a))) (pow a 2))
(/.f64 (*.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal -4 binary64) a) #s(literal 2 binary64))) (*.f64 a a))
(/ (- (+ (* -1 (/ (+ (* -8 (exp a)) (* 4 (* (exp a) (+ 1 (exp b))))) (pow a 2))) (* 2 (exp a))) (* 4 (/ (exp a) a))) (pow a 2))
(/.f64 (-.f64 (*.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal -4 binary64) a) #s(literal 2 binary64))) (/.f64 (*.f64 (exp.f64 a) (+.f64 #s(literal -8 binary64) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (exp.f64 b))))) (*.f64 a a))) (*.f64 a a))
(/ (- (+ (* -1 (/ (+ (* -8 (* (exp a) (+ 1 (exp b)))) (* -2 (+ (* -8 (exp a)) (* 4 (* (exp a) (+ 1 (exp b))))))) (pow a 3))) (* 2 (exp a))) (+ (* -8 (/ (exp a) (pow a 2))) (+ (* 4 (/ (exp a) a)) (* 4 (/ (* (exp a) (+ 1 (exp b))) (pow a 2)))))) (pow a 2))
(/.f64 (-.f64 (+.f64 (*.f64 (exp.f64 a) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -8 binary64) (*.f64 a a)))) (*.f64 #s(literal -4 binary64) (*.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) a) #s(literal 1 binary64)) (/.f64 (exp.f64 a) a)))) (/.f64 (+.f64 (*.f64 (exp.f64 a) #s(literal 16 binary64)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (exp.f64 a)) #s(literal -16 binary64))) (*.f64 a (*.f64 a a)))) (*.f64 a a))
(* 2 (/ (exp a) (pow a 2)))
(*.f64 #s(literal 2 binary64) (/.f64 (/.f64 (exp.f64 a) a) a))
(/ (+ (* -4 (/ (exp a) a)) (* 2 (exp a))) (pow a 2))
(/.f64 (*.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal -4 binary64) a) #s(literal 2 binary64))) (*.f64 a a))
(/ (+ (* -1 (/ (- (+ (* -8 (/ (exp a) a)) (* 4 (/ (* (exp a) (+ 1 (exp b))) a))) (* -4 (exp a))) a)) (* 2 (exp a))) (pow a 2))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (exp.f64 a)) (/.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 (exp.f64 a) #s(literal 4 binary64))) a) (*.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal -8 binary64) a) #s(literal 4 binary64)))) a)) (*.f64 a a))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (+ (* -8 (exp a)) (* 4 (* (exp a) (+ 1 (exp b))))) a)) (* 8 (/ (* (exp a) (+ 1 (exp b))) a))) (+ (* -8 (exp a)) (* 4 (* (exp a) (+ 1 (exp b)))))) a)) (* -4 (exp a))) a)) (* 2 (exp a))) (pow a 2))
(/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (exp.f64 a)) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (exp.f64 a) (+.f64 #s(literal -8 binary64) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (exp.f64 b)))))) a) (*.f64 (exp.f64 a) (-.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) a) #s(literal 8 binary64)) #s(literal -8 binary64)))) a) (*.f64 (exp.f64 a) (+.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) a) #s(literal 4 binary64)) #s(literal 4 binary64)))) a)) (*.f64 a a))
(/ (exp a) (+ 2 (* a (+ 1 (* 1/2 a)))))
(/.f64 (exp.f64 a) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a)))))
(+ (* -1 (/ (* b (exp a)) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2))) (/ (exp a) (+ 2 (* a (+ 1 (* 1/2 a))))))
(-.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a))))) (/.f64 (/.f64 (*.f64 b (exp.f64 a)) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a))))) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a))))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 3))) (* 1/2 (/ (exp a) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)))))) (/ (exp a) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)))) (/ (exp a) (+ 2 (* a (+ 1 (* 1/2 a))))))
(+.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a))))) (*.f64 b (-.f64 (*.f64 (*.f64 (/.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a))))) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a))))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a))))) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) b)) (/.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a))))) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a))))))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 3))) (* 1/2 (/ (exp a) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)))) (+ 2 (* a (+ 1 (* 1/2 a)))))) (+ (* -1/2 (/ (exp a) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 3))) (* 1/6 (/ (exp a) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 3))) (* 1/2 (/ (exp a) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)))))) (/ (exp a) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)))) (/ (exp a) (+ 2 (* a (+ 1 (* 1/2 a))))))
(+.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a))))) (*.f64 b (-.f64 (*.f64 b (-.f64 (*.f64 b (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (/.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a))))) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a))))) (+.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a))))) #s(literal 1/6 binary64))) (/.f64 (*.f64 (/.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a))))) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a))))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a))))) #s(literal 1/2 binary64))) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a)))))))) (*.f64 (/.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a))))) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a))))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a))))) #s(literal 1/2 binary64))))) (/.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a))))) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a))))))))
(/ (exp a) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))
(/.f64 (exp.f64 a) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a)))))
(/ (exp a) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))
(/.f64 (exp.f64 a) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a)))))
(/ (exp a) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))
(/.f64 (exp.f64 a) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a)))))
(/ (exp a) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))
(/.f64 (exp.f64 a) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a)))))
(/ (exp a) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))
(/.f64 (exp.f64 a) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a)))))
(/ (exp a) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))
(/.f64 (exp.f64 a) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a)))))
(/ (exp a) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))
(/.f64 (exp.f64 a) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a)))))
(/ (exp a) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))
(/.f64 (exp.f64 a) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 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 (+ b (* a (+ 1 (* 1/2 a)))))
(+.f64 b (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a)))))
(+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* 1/2 b)))))
(+.f64 #s(literal 2 binary64) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a)))))
(+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+.f64 (*.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 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) 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 #s(literal 1/2 binary64) 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 #s(literal 1/2 binary64) 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 #s(literal 1/2 binary64) 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 #s(literal 1/2 binary64) 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 #s(literal 1/2 binary64) 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 #s(literal 1/2 binary64) 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 #s(literal 1/2 binary64) 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 #s(literal 1/2 binary64) a))))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (+ a (exp b)))
(+.f64 #s(literal 1 binary64) (+.f64 a (exp.f64 b)))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) 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 #s(literal 1/2 binary64) a))))
(* 1/2 (pow a 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 a a))
(* (pow a 2) (+ 1/2 (/ 1 a)))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a)))
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (+ (/ 1 (pow a 2)) (/ (exp b) (pow a 2))))))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 (/.f64 (exp.f64 b) (*.f64 a a)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) #s(literal 1/2 binary64))))))
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (+ (/ 1 (pow a 2)) (/ (exp b) (pow a 2))))))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 (/.f64 (exp.f64 b) (*.f64 a a)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) #s(literal 1/2 binary64))))))
(* 1/2 (pow a 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 a a))
(* (pow a 2) (+ 1/2 (/ 1 a)))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a)))
(* (pow a 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp b)) a)) 1) a))))
(*.f64 (*.f64 a a) (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) a)) a)))
(* (pow a 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp b)) a)) 1) a))))
(*.f64 (*.f64 a a) (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) a)) a)))
4
#s(literal 4 binary64)
(+ 4 (* 4 b))
(+.f64 #s(literal 4 binary64) (*.f64 b #s(literal 4 binary64)))
(+ 4 (* b (+ 4 (* 3 b))))
(+.f64 #s(literal 4 binary64) (*.f64 b (+.f64 #s(literal 4 binary64) (*.f64 b #s(literal 3 binary64)))))
(+ 4 (* b (+ 4 (* b (+ 3 (* 5/3 b))))))
(+.f64 #s(literal 4 binary64) (*.f64 b (+.f64 #s(literal 4 binary64) (*.f64 b (+.f64 #s(literal 3 binary64) (*.f64 b #s(literal 5/3 binary64)))))))
(pow (+ 1 (exp b)) 2)
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))
(pow (+ 1 (exp b)) 2)
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))
(pow (+ 1 (exp b)) 2)
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))
(pow (+ 1 (exp b)) 2)
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))
(pow (+ 1 (exp b)) 2)
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))
(pow (+ 1 (exp b)) 2)
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))
(pow (+ 1 (exp b)) 2)
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))
(pow (+ 1 (exp b)) 2)
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))
a
(* a (+ 1 (* 1/2 a)))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a)))
(* a (+ 1 (* 1/2 a)))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a)))
(* a (+ 1 (* 1/2 a)))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a)))
(* 1/2 (pow a 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 a a))
(* (pow a 2) (+ 1/2 (/ 1 a)))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a)))
(* (pow a 2) (+ 1/2 (/ 1 a)))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a)))
(* (pow a 2) (+ 1/2 (/ 1 a)))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a)))
(* 1/2 (pow a 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 a a))
(* (pow a 2) (+ 1/2 (/ 1 a)))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a)))
(* (pow a 2) (+ 1/2 (/ 1 a)))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a)))
(* (pow a 2) (+ 1/2 (/ 1 a)))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a)))

eval168.0ms (2%)

Compiler

Compiled 34078 to 3141 computations (90.8% saved)

prune146.0ms (1.7%)

Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New108791096
Fresh000
Picked224
Done000
Total1089111100
Accuracy
99.9%
Counts
1100 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.5%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a)))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))))
68.3%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
67.2%
(/.f64 (exp.f64 a) #s(literal 2 binary64))
38.6%
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
59.3%
(/.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))))))))
55.1%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))
80.8%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
40.8%
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))))))
40.7%
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
40.8%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
40.4%
#s(literal 1/2 binary64)
Compiler

Compiled 235 to 174 computations (26% saved)

simplify61.0ms (0.7%)

Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64))))
cost-diff0
(+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))))
cost-diff0
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64))))))
cost-diff0
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))))))
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 b #s(literal 2 binary64))
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a))
cost-diff0
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a)))
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a))))
cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a)))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))))
Rules
1160×fma-define
988×fma-lowering-fma.f32
988×fma-lowering-fma.f64
446×*-lowering-*.f32
446×*-lowering-*.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033206
192181
2265181
3617181
4999181
51255181
61302181
71329181
81430181
91555181
101565181
01565181
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ (+ 1 (exp b)) (* a (+ 1 (* a 1/2)))))
(+ 1 (* a (+ 1 (* 1/2 a))))
1
(* a (+ 1 (* 1/2 a)))
a
(+ 1 (* 1/2 a))
(* 1/2 a)
1/2
(+ (+ 1 (exp b)) (* a (+ 1 (* a 1/2))))
(+ 1 (exp b))
(exp b)
b
(* a (+ 1 (* a 1/2)))
(+ 1 (* a 1/2))
(* a 1/2)
1/2
(/ 1 (+ b 2))
1
(+ b 2)
b
2
(/ 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
(+ 1/2 (* a (+ 1/4 (* (* a a) (+ -1/48 (* (* a a) 1/480))))))
1/2
(* a (+ 1/4 (* (* a a) (+ -1/48 (* (* a a) 1/480)))))
a
(+ 1/4 (* (* a a) (+ -1/48 (* (* a a) 1/480))))
1/4
(* (* a a) (+ -1/48 (* (* a a) 1/480)))
(* a a)
(+ -1/48 (* (* a a) 1/480))
-1/48
(* (* a a) 1/480)
1/480
Outputs
(/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ (+ 1 (exp b)) (* a (+ 1 (* a 1/2)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))))))
(+ 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
#s(literal 1 binary64)
(* a (+ 1 (* 1/2 a)))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))
a
(+ 1 (* 1/2 a))
(+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ (+ 1 (exp b)) (* a (+ 1 (* a 1/2))))
(+.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))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(exp b)
(exp.f64 b)
b
(* a (+ 1 (* a 1/2)))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))
(+ 1 (* a 1/2))
(+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))
(* a 1/2)
(*.f64 a #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(/ 1 (+ b 2))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
1
#s(literal 1 binary64)
(+ b 2)
(+.f64 b #s(literal 2 binary64))
b
2
#s(literal 2 binary64)
(/ 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)
(+ 1/2 (* a (+ 1/4 (* (* a a) (+ -1/48 (* (* a a) 1/480))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))))))
1/2
#s(literal 1/2 binary64)
(* a (+ 1/4 (* (* a a) (+ -1/48 (* (* a a) 1/480)))))
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64))))))
a
(+ 1/4 (* (* a a) (+ -1/48 (* (* a a) 1/480))))
(+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))))
1/4
#s(literal 1/4 binary64)
(* (* a a) (+ -1/48 (* (* a a) 1/480)))
(*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64))))
(* a a)
(*.f64 a a)
(+ -1/48 (* (* a a) 1/480))
(+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))
-1/48
#s(literal -1/48 binary64)
(* (* a a) 1/480)
(*.f64 (*.f64 a a) #s(literal 1/480 binary64))
1/480
#s(literal 1/480 binary64)

localize142.0ms (1.7%)

Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))
accuracy100.0%
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64))))))
accuracy99.7%
(*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64))))
accuracy99.5%
(*.f64 (*.f64 a a) #s(literal 1/480 binary64))
accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) b)
accuracy100.0%
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))
accuracy99.4%
(/.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 b #s(literal 2 binary64))
accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
accuracy100.0%
(+.f64 #s(literal 1 binary64) (exp.f64 b))
accuracy100.0%
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))
accuracy100.0%
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a)))
accuracy84.0%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a)))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))))
Results
100.0ms256×0valid
Compiler

Compiled 213 to 34 computations (84% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
ival-mult: 21.0ms (38.5% of total)
ival-add: 14.0ms (25.6% of total)
...c/correct-round.rkt:119:19: 9.0ms (16.5% of total)
ival-div: 8.0ms (14.7% of total)
ival-exp: 2.0ms (3.7% of total)
const: 1.0ms (1.8% of total)
backward-pass: 0.0ms (0% of total)

series15.0ms (0.2%)

Counts
19 → 240
Calls
Call 1
Inputs
#<alt (/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ (+ 1 (exp b)) (* a (+ 1 (* a 1/2)))))>
#<alt (+ 1 (* a (+ 1 (* 1/2 a))))>
#<alt (* a (+ 1 (* 1/2 a)))>
#<alt (+ 1 (* 1/2 a))>
#<alt (/ 1 (+ b 2))>
#<alt (+ b 2)>
#<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 (+ 1/2 (* a (+ 1/4 (* (* a a) (+ -1/48 (* (* a a) 1/480))))))>
#<alt (* a (+ 1/4 (* (* a a) (+ -1/48 (* (* a a) 1/480)))))>
#<alt (+ 1/4 (* (* a a) (+ -1/48 (* (* a a) 1/480))))>
#<alt (* (* a a) (+ -1/48 (* (* a a) 1/480)))>
#<alt (* a (+ 1 (* a 1/2)))>
#<alt (+ 1 (exp b))>
#<alt (* 1/2 b)>
#<alt (* (* a a) 1/480)>
#<alt (+ -1/48 (* (* a a) 1/480))>
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 (- (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3))) (+ (* 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 (* 2 (/ 1 (pow a 2)))) (* 2 (/ (+ 1 (exp b)) (pow a 2))))>
#<alt (- (+ 1 (+ (* -2 (/ (- 2 (* 2 (+ 1 (exp b)))) (pow a 3))) (* 2 (/ 1 (pow a 2))))) (* 2 (/ (+ 1 (exp b)) (pow a 2))))>
#<alt (- (+ 1 (+ (* -1 (/ (+ (* -4 (- 2 (* 2 (+ 1 (exp b))))) (* 2 (* (+ 1 (exp b)) (- 2 (* 2 (+ 1 (exp b))))))) (pow a 4))) (* 2 (/ 1 (pow a 2))))) (+ (* 2 (/ (+ 1 (exp b)) (pow a 2))) (* 2 (/ (- 2 (* 2 (+ 1 (exp b)))) (pow a 3)))))>
#<alt 1>
#<alt (- (+ 1 (* 2 (/ 1 (pow a 2)))) (* 2 (/ (+ 1 (exp b)) (pow a 2))))>
#<alt (- (+ 1 (+ (* -2 (/ (- 2 (* 2 (+ 1 (exp b)))) (pow a 3))) (* 2 (/ 1 (pow a 2))))) (* 2 (/ (+ 1 (exp b)) (pow a 2))))>
#<alt (- (+ 1 (+ (* -1 (/ (- (+ (* -4 (/ (- 2 (* 2 (+ 1 (exp b)))) a)) (* 2 (/ (* (+ 1 (exp b)) (- 2 (* 2 (+ 1 (exp b))))) a))) (* -2 (- 2 (* 2 (+ 1 (exp b)))))) (pow a 3))) (* 2 (/ 1 (pow a 2))))) (* 2 (/ (+ 1 (exp b)) (pow a 2))))>
#<alt (/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ 2 (* a (+ 1 (* 1/2 a)))))>
#<alt (+ (* -1 (* b (+ (/ 1 (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)) (/ (* a (+ 1 (* 1/2 a))) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2))))) (+ (/ 1 (+ 2 (* a (+ 1 (* 1/2 a))))) (/ (* a (+ 1 (* 1/2 a))) (+ 2 (* a (+ 1 (* 1/2 a)))))))>
#<alt (+ (* b (- (* -1 (* b (+ (* -1 (/ (+ (/ 1 (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)) (/ (* a (+ 1 (* 1/2 a))) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2))) (+ 2 (* a (+ 1 (* 1/2 a)))))) (* 1/2 (/ (+ 1 (* a (+ 1 (* 1/2 a)))) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)))))) (+ (/ 1 (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)) (/ (* a (+ 1 (* 1/2 a))) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2))))) (+ (/ 1 (+ 2 (* a (+ 1 (* 1/2 a))))) (/ (* a (+ 1 (* 1/2 a))) (+ 2 (* a (+ 1 (* 1/2 a)))))))>
#<alt (+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (+ (/ 1 (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)) (/ (* a (+ 1 (* 1/2 a))) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2))) (+ 2 (* a (+ 1 (* 1/2 a)))))) (* 1/2 (/ (+ 1 (* a (+ 1 (* 1/2 a)))) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)))) (+ 2 (* a (+ 1 (* 1/2 a)))))) (+ (* -1/2 (/ (+ (/ 1 (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)) (/ (* a (+ 1 (* 1/2 a))) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2))) (+ 2 (* a (+ 1 (* 1/2 a)))))) (* 1/6 (/ (+ 1 (* a (+ 1 (* 1/2 a)))) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2))))))) (+ (* -1 (/ (+ (/ 1 (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)) (/ (* a (+ 1 (* 1/2 a))) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2))) (+ 2 (* a (+ 1 (* 1/2 a)))))) (* 1/2 (/ (+ 1 (* a (+ 1 (* 1/2 a)))) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)))))) (+ (/ 1 (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)) (/ (* a (+ 1 (* 1/2 a))) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2))))) (+ (/ 1 (+ 2 (* a (+ 1 (* 1/2 a))))) (/ (* a (+ 1 (* 1/2 a))) (+ 2 (* a (+ 1 (* 1/2 a)))))))>
#<alt (/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))>
#<alt (/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))>
#<alt (/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))>
#<alt (/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))>
#<alt (/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))>
#<alt (/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))>
#<alt (/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))>
#<alt (/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))>
#<alt 1>
#<alt (+ 1 a)>
#<alt (+ 1 (* a (+ 1 (* 1/2 a))))>
#<alt (+ 1 (* a (+ 1 (* 1/2 a))))>
#<alt (* 1/2 (pow a 2))>
#<alt (* (pow a 2) (+ 1/2 (/ 1 a)))>
#<alt (* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))>
#<alt (* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))>
#<alt (* 1/2 (pow a 2))>
#<alt (* (pow a 2) (+ 1/2 (/ 1 a)))>
#<alt (* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))>
#<alt (* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))>
#<alt a>
#<alt (* a (+ 1 (* 1/2 a)))>
#<alt (* a (+ 1 (* 1/2 a)))>
#<alt (* a (+ 1 (* 1/2 a)))>
#<alt (* 1/2 (pow a 2))>
#<alt (* (pow a 2) (+ 1/2 (/ 1 a)))>
#<alt (* (pow a 2) (+ 1/2 (/ 1 a)))>
#<alt (* (pow a 2) (+ 1/2 (/ 1 a)))>
#<alt (* 1/2 (pow a 2))>
#<alt (* (pow a 2) (+ 1/2 (/ 1 a)))>
#<alt (* (pow a 2) (+ 1/2 (/ 1 a)))>
#<alt (* (pow a 2) (+ 1/2 (/ 1 a)))>
#<alt 1>
#<alt (+ 1 (* 1/2 a))>
#<alt (+ 1 (* 1/2 a))>
#<alt (+ 1 (* 1/2 a))>
#<alt (* 1/2 a)>
#<alt (* a (+ 1/2 (/ 1 a)))>
#<alt (* a (+ 1/2 (/ 1 a)))>
#<alt (* a (+ 1/2 (/ 1 a)))>
#<alt (* 1/2 a)>
#<alt (* a (+ 1/2 (/ 1 a)))>
#<alt (* a (+ 1/2 (/ 1 a)))>
#<alt (* a (+ 1/2 (/ 1 a)))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 b))>
#<alt (+ 1/2 (* b (- (* 1/8 b) 1/4)))>
#<alt (+ 1/2 (* b (- (* b (+ 1/8 (* -1/16 b))) 1/4)))>
#<alt (/ 1 b)>
#<alt (/ (- 1 (* 2 (/ 1 b))) b)>
#<alt (/ (- (+ 1 (/ 4 (pow b 2))) (* 2 (/ 1 b))) b)>
#<alt (/ (- (+ 1 (/ 4 (pow b 2))) (+ (* 2 (/ 1 b)) (* 8 (/ 1 (pow b 3))))) b)>
#<alt (/ 1 b)>
#<alt (* -1 (/ (- (* 2 (/ 1 b)) 1) b))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 b)) 2) b)) 1) b))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 b)) 4) b)) 2) b)) 1) b))>
#<alt 2>
#<alt (+ 2 b)>
#<alt (+ 2 b)>
#<alt (+ 2 b)>
#<alt b>
#<alt (* b (+ 1 (* 2 (/ 1 b))))>
#<alt (* b (+ 1 (* 2 (/ 1 b))))>
#<alt (* b (+ 1 (* 2 (/ 1 b))))>
#<alt b>
#<alt (* b (+ 1 (* 2 (/ 1 b))))>
#<alt (* b (+ 1 (* 2 (/ 1 b))))>
#<alt (* b (+ 1 (* 2 (/ 1 b))))>
#<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 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 (* 1/480 (pow a 5))>
#<alt (* (pow a 5) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))>
#<alt (* (pow a 5) (- (+ 1/480 (/ 1/4 (pow a 4))) (* 1/48 (/ 1 (pow a 2)))))>
#<alt (* (pow a 5) (- (+ 1/480 (+ (/ 1/4 (pow a 4)) (* 1/2 (/ 1 (pow a 5))))) (* 1/48 (/ 1 (pow a 2)))))>
#<alt (* 1/480 (pow a 5))>
#<alt (* -1 (* (pow a 5) (- (* 1/48 (/ 1 (pow a 2))) 1/480)))>
#<alt (* -1 (* (pow a 5) (- (* 1/48 (/ 1 (pow a 2))) (+ 1/480 (/ 1/4 (pow a 4))))))>
#<alt (* -1 (* (pow a 5) (- (+ (* -1 (/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 4))) (* 1/48 (/ 1 (pow a 2)))) 1/480)))>
#<alt (* 1/4 a)>
#<alt (* a (+ 1/4 (* -1/48 (pow a 2))))>
#<alt (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48))))>
#<alt (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48))))>
#<alt (* 1/480 (pow a 5))>
#<alt (* (pow a 5) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))>
#<alt (* (pow a 5) (- (+ 1/480 (/ 1/4 (pow a 4))) (* 1/48 (/ 1 (pow a 2)))))>
#<alt (* (pow a 5) (- (+ 1/480 (/ 1/4 (pow a 4))) (* 1/48 (/ 1 (pow a 2)))))>
#<alt (* 1/480 (pow a 5))>
#<alt (* -1 (* (pow a 5) (- (* 1/48 (/ 1 (pow a 2))) 1/480)))>
#<alt (* -1 (* (pow a 5) (- (* 1/48 (/ 1 (pow a 2))) (+ 1/480 (/ 1/4 (pow a 4))))))>
#<alt (* -1 (* (pow a 5) (- (* 1/48 (/ 1 (pow a 2))) (+ 1/480 (/ 1/4 (pow a 4))))))>
#<alt 1/4>
#<alt (+ 1/4 (* -1/48 (pow a 2)))>
#<alt (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))>
#<alt (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))>
#<alt (* 1/480 (pow a 4))>
#<alt (* (pow a 4) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))>
#<alt (* (pow a 4) (- (+ 1/480 (/ 1/4 (pow a 4))) (* 1/48 (/ 1 (pow a 2)))))>
#<alt (* (pow a 4) (- (+ 1/480 (/ 1/4 (pow a 4))) (* 1/48 (/ 1 (pow a 2)))))>
#<alt (* 1/480 (pow a 4))>
#<alt (* (pow a 4) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))>
#<alt (* (pow a 4) (- (+ 1/480 (/ 1/4 (pow a 4))) (* 1/48 (/ 1 (pow a 2)))))>
#<alt (* (pow a 4) (- (+ 1/480 (/ 1/4 (pow a 4))) (* 1/48 (/ 1 (pow a 2)))))>
#<alt (* -1/48 (pow a 2))>
#<alt (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48))>
#<alt (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48))>
#<alt (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48))>
#<alt (* 1/480 (pow a 4))>
#<alt (* (pow a 4) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))>
#<alt (* (pow a 4) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))>
#<alt (* (pow a 4) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))>
#<alt (* 1/480 (pow a 4))>
#<alt (* (pow a 4) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))>
#<alt (* (pow a 4) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))>
#<alt (* (pow a 4) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))>
#<alt a>
#<alt (* a (+ 1 (* 1/2 a)))>
#<alt (* a (+ 1 (* 1/2 a)))>
#<alt (* a (+ 1 (* 1/2 a)))>
#<alt (* 1/2 (pow a 2))>
#<alt (* (pow a 2) (+ 1/2 (/ 1 a)))>
#<alt (* (pow a 2) (+ 1/2 (/ 1 a)))>
#<alt (* (pow a 2) (+ 1/2 (/ 1 a)))>
#<alt (* 1/2 (pow a 2))>
#<alt (* (pow a 2) (+ 1/2 (/ 1 a)))>
#<alt (* (pow a 2) (+ 1/2 (/ 1 a)))>
#<alt (* (pow a 2) (+ 1/2 (/ 1 a)))>
#<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 (* 1/2 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)>
#<alt (* 1/480 (pow a 2))>
#<alt (* 1/480 (pow a 2))>
#<alt (* 1/480 (pow a 2))>
#<alt (* 1/480 (pow a 2))>
#<alt (* 1/480 (pow a 2))>
#<alt (* 1/480 (pow a 2))>
#<alt (* 1/480 (pow a 2))>
#<alt (* 1/480 (pow a 2))>
#<alt (* 1/480 (pow a 2))>
#<alt (* 1/480 (pow a 2))>
#<alt (* 1/480 (pow a 2))>
#<alt (* 1/480 (pow a 2))>
#<alt -1/48>
#<alt (- (* 1/480 (pow a 2)) 1/48)>
#<alt (- (* 1/480 (pow a 2)) 1/48)>
#<alt (- (* 1/480 (pow a 2)) 1/48)>
#<alt (* 1/480 (pow a 2))>
#<alt (* (pow a 2) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))>
#<alt (* (pow a 2) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))>
#<alt (* (pow a 2) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))>
#<alt (* 1/480 (pow a 2))>
#<alt (* (pow a 2) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))>
#<alt (* (pow a 2) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))>
#<alt (* (pow a 2) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))>
Calls

60 calls:

TimeVariablePointExpression
1.0ms
b
@0
(/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ (+ 1 (exp b)) (* a (+ 1 (* a 1/2)))))
1.0ms
b
@inf
(/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ (+ 1 (exp b)) (* a (+ 1 (* a 1/2)))))
1.0ms
b
@-inf
(/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ (+ 1 (exp b)) (* a (+ 1 (* a 1/2)))))
1.0ms
a
@inf
(/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ (+ 1 (exp b)) (* a (+ 1 (* a 1/2)))))
0.0ms
a
@inf
(+ 1/2 (* a (+ 1/4 (* (* a a) (+ -1/48 (* (* a a) 1/480))))))

rewrite418.0ms (4.9%)

Algorithm
batch-egg-rewrite
Rules
3714×*-lowering-*.f32
3714×*-lowering-*.f64
3328×/-lowering-/.f32
3328×/-lowering-/.f64
2812×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033162
1252139
22182139
010046139
Stop Event
iter limit
node limit
Counts
19 → 541
Calls
Call 1
Inputs
(/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ (+ 1 (exp b)) (* a (+ 1 (* a 1/2)))))
(+ 1 (* a (+ 1 (* 1/2 a))))
(* a (+ 1 (* 1/2 a)))
(+ 1 (* 1/2 a))
(/ 1 (+ b 2))
(+ b 2)
(/ 1 (+ 2 (* b (+ 1 (* 1/2 b)))))
(+ 2 (* b (+ 1 (* 1/2 b))))
(* b (+ 1 (* 1/2 b)))
(+ 1 (* 1/2 b))
(+ 1/2 (* a (+ 1/4 (* (* a a) (+ -1/48 (* (* a a) 1/480))))))
(* a (+ 1/4 (* (* a a) (+ -1/48 (* (* a a) 1/480)))))
(+ 1/4 (* (* a a) (+ -1/48 (* (* a a) 1/480))))
(* (* a a) (+ -1/48 (* (* a a) 1/480)))
(* a (+ 1 (* a 1/2)))
(+ 1 (exp b))
(* 1/2 b)
(* (* a a) 1/480)
(+ -1/48 (* (* a a) 1/480))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))) (exp.f64 b)) (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 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 #s(literal 1/2 binary64)))))) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))) (exp.f64 b))) (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))) (*.f64 a (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))))) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))) (exp.f64 b))))
(-.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 #s(literal 1/2 binary64)))))))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))) (+.f64 #s(literal -1 binary64) (neg.f64 (+.f64 (exp.f64 b) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))))))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))) (exp.f64 b)) (-.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))) (*.f64 a (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))))) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))) (exp.f64 b)) (-.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))))))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))) (+.f64 #s(literal -1 binary64) (neg.f64 (+.f64 (exp.f64 b) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))))) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))) (exp.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))) (exp.f64 b)) (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))) (exp.f64 b)) (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))) (exp.f64 b)) (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))) (exp.f64 b)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))) (exp.f64 b)) (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))) (exp.f64 b)) (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))))) (+.f64 #s(literal -1 binary64) (neg.f64 (+.f64 (exp.f64 b) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))) (*.f64 a (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))))))) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))) (exp.f64 b)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))) (-.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))) #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))) (*.f64 a (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))))) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))) (exp.f64 b)) (-.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))) (*.f64 a (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))) (-.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))) #s(literal 1 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))) (exp.f64 b))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))) (*.f64 a (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))) (exp.f64 b))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))))) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (+.f64 (exp.f64 b) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))) (*.f64 a (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))))))) (neg.f64 (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))) (exp.f64 b)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))) (-.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))) #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))) (*.f64 a (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))))))) (neg.f64 (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))) (exp.f64 b)) (-.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))) (exp.f64 b)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))) (*.f64 a (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))))))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))) (exp.f64 b)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))) (-.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))) #s(literal 1 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))) (*.f64 a (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))) (exp.f64 b)))) (-.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))) (*.f64 a (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))))))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))) (-.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))) #s(literal 1 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))) (exp.f64 b)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))) (*.f64 a (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))))) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))) (exp.f64 b)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 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 #s(literal 1/2 binary64))))))))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 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 #s(literal 1/2 binary64))))))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))) (*.f64 a (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))))))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))) (exp.f64 b))))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))) (-.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))) (*.f64 a (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))) (exp.f64 b))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))))))
(pow.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))) (exp.f64 b)) (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))) (exp.f64 b)) (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))) (exp.f64 b))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))) (exp.f64 b))))
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(/.f64 (+.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a a)))) (+.f64 (*.f64 a a) (-.f64 (*.f64 (*.f64 a (*.f64 a #s(literal 1/2 binary64))) (*.f64 a (*.f64 a #s(literal 1/2 binary64)))) (*.f64 a (*.f64 a (*.f64 a #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (*.f64 a a) (*.f64 (*.f64 a (*.f64 a #s(literal 1/2 binary64))) (*.f64 a (*.f64 a #s(literal 1/2 binary64))))) (-.f64 a (*.f64 a (*.f64 a #s(literal 1/2 binary64)))))
(/.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 a (*.f64 a a))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a #s(literal 1/2 binary64)) (-.f64 (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 (*.f64 a (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 a a)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) a)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 a (*.f64 a a)))) a) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a #s(literal 1/2 binary64)) (-.f64 (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 a a))) a) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) a)))
(/.f64 (neg.f64 (+.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a a))))) (neg.f64 (+.f64 (*.f64 a a) (-.f64 (*.f64 (*.f64 a (*.f64 a #s(literal 1/2 binary64))) (*.f64 a (*.f64 a #s(literal 1/2 binary64)))) (*.f64 a (*.f64 a (*.f64 a #s(literal 1/2 binary64))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 a a) (*.f64 (*.f64 a (*.f64 a #s(literal 1/2 binary64))) (*.f64 a (*.f64 a #s(literal 1/2 binary64)))))) (neg.f64 (-.f64 a (*.f64 a (*.f64 a #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 a (*.f64 a a)))))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a #s(literal 1/2 binary64)) (-.f64 (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (*.f64 a (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 a a))))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) a))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 a (*.f64 a a)))) a)) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a #s(literal 1/2 binary64)) (-.f64 (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 a a))) a)) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) a))))
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 a a) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal 1/2 binary64)))) (*.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal 1/2 binary64))))) (*.f64 a (*.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal 1/2 binary64))))))))
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) (pow.f64 (*.f64 (*.f64 a (*.f64 a #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 a a) (-.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 a (*.f64 a #s(literal 1/2 binary64))) #s(literal 1 binary64))) (*.f64 a (*.f64 (*.f64 a (*.f64 a #s(literal 1/2 binary64))) #s(literal 1 binary64))))))
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a a))) (+.f64 (*.f64 (*.f64 a (*.f64 a #s(literal 1/2 binary64))) (*.f64 a (*.f64 a #s(literal 1/2 binary64)))) (-.f64 (*.f64 a a) (*.f64 (*.f64 a (*.f64 a #s(literal 1/2 binary64))) a))))
(*.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))) a)
(*.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))) a)
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+.f64 (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 (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 (+.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 #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 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) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 b)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) (expm1.f64 b)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 b)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 2 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 (expm1.f64 (+.f64 b b)) (expm1.f64 b))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 b))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)) (exp.f64 (*.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) (expm1.f64 b))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 2 binary64)))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)))))
(/.f64 (neg.f64 (expm1.f64 (+.f64 b b))) (neg.f64 (expm1.f64 b)))
(pow.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))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 2 binary64))))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) (expm1.f64 b)))))
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 b))))
(*.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))
(*.f64 a (*.f64 a #s(literal 1/480 binary64)))
(*.f64 (*.f64 a a) #s(literal 1/480 binary64))
(*.f64 #s(literal 1/480 binary64) (*.f64 a a))
(*.f64 (*.f64 a #s(literal 1/480 binary64)) a)
(+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))
(+.f64 (*.f64 (*.f64 a a) #s(literal 1/480 binary64)) #s(literal -1/48 binary64))
(-.f64 (/.f64 #s(literal 1/2304 binary64) (+.f64 #s(literal -1/48 binary64) (*.f64 #s(literal -1/480 binary64) (*.f64 a a)))) (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/230400 binary64)) (+.f64 #s(literal -1/48 binary64) (*.f64 #s(literal -1/480 binary64) (*.f64 a a)))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/230400 binary64)) (-.f64 (*.f64 (*.f64 a a) #s(literal 1/480 binary64)) #s(literal -1/48 binary64))) (/.f64 #s(literal 1/2304 binary64) (-.f64 (*.f64 (*.f64 a a) #s(literal 1/480 binary64)) #s(literal -1/48 binary64))))
(fma.f64 a (*.f64 a #s(literal 1/480 binary64)) #s(literal -1/48 binary64))
(fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal -1/48 binary64))
(fma.f64 #s(literal 1/480 binary64) (*.f64 a a) #s(literal -1/48 binary64))
(fma.f64 (*.f64 a #s(literal 1/480 binary64)) a #s(literal -1/48 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 (*.f64 a a) #s(literal 1/480 binary64)) (-.f64 (*.f64 (*.f64 a a) #s(literal 1/480 binary64)) #s(literal -1/48 binary64)))) (+.f64 #s(literal -1/110592 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/110592000 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/48 binary64) (*.f64 #s(literal -1/480 binary64) (*.f64 a a))) (-.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/230400 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 (*.f64 a a) #s(literal 1/480 binary64)) (-.f64 (*.f64 (*.f64 a a) #s(literal 1/480 binary64)) #s(literal -1/48 binary64)))) (+.f64 #s(literal -1/110592 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/110592000 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal -1/48 binary64) (*.f64 #s(literal -1/480 binary64) (*.f64 a a))) (-.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/230400 binary64))))))
(/.f64 (+.f64 #s(literal -1/110592 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/110592000 binary64)))) (+.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 (*.f64 a a) #s(literal 1/480 binary64)) (-.f64 (*.f64 (*.f64 a a) #s(literal 1/480 binary64)) #s(literal -1/48 binary64)))))
(/.f64 (+.f64 #s(literal -1/110592 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/110592000 binary64)))) (+.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/230400 binary64)) (-.f64 #s(literal 1/2304 binary64) (*.f64 #s(literal -1/23040 binary64) (*.f64 a a)))))
(/.f64 (-.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/230400 binary64))) (+.f64 #s(literal -1/48 binary64) (*.f64 #s(literal -1/480 binary64) (*.f64 a a))))
(/.f64 (neg.f64 (+.f64 #s(literal -1/110592 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/110592000 binary64))))) (neg.f64 (+.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 (*.f64 a a) #s(literal 1/480 binary64)) (-.f64 (*.f64 (*.f64 a a) #s(literal 1/480 binary64)) #s(literal -1/48 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1/110592 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/110592000 binary64))))) (neg.f64 (+.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/230400 binary64)) (-.f64 #s(literal 1/2304 binary64) (*.f64 #s(literal -1/23040 binary64) (*.f64 a a))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/230400 binary64)))) (neg.f64 (+.f64 #s(literal -1/48 binary64) (*.f64 #s(literal -1/480 binary64) (*.f64 a a)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/230400 binary64)) #s(literal 1/2304 binary64)) (-.f64 (*.f64 (*.f64 a a) #s(literal 1/480 binary64)) #s(literal -1/48 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1/2304 binary64) (+.f64 #s(literal -1/48 binary64) (*.f64 #s(literal -1/480 binary64) (*.f64 a a)))) (*.f64 (+.f64 #s(literal -1/48 binary64) (*.f64 #s(literal -1/480 binary64) (*.f64 a a))) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/230400 binary64)))) (*.f64 (+.f64 #s(literal -1/48 binary64) (*.f64 #s(literal -1/480 binary64) (*.f64 a a))) (+.f64 #s(literal -1/48 binary64) (*.f64 #s(literal -1/480 binary64) (*.f64 a a)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1/110592 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/110592000 binary64)))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 (*.f64 a a) #s(literal 1/480 binary64)) (-.f64 (*.f64 (*.f64 a a) #s(literal 1/480 binary64)) #s(literal -1/48 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/230400 binary64))))) (neg.f64 (neg.f64 (+.f64 #s(literal -1/48 binary64) (*.f64 #s(literal -1/480 binary64) (*.f64 a a))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/230400 binary64)) #s(literal 1/2304 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 1/480 binary64)) #s(literal -1/48 binary64))))
(pow.f64 (/.f64 (+.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 (*.f64 a a) #s(literal 1/480 binary64)) (-.f64 (*.f64 (*.f64 a a) #s(literal 1/480 binary64)) #s(literal -1/48 binary64)))) (+.f64 #s(literal -1/110592 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/110592000 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal -1/48 binary64) (*.f64 #s(literal -1/480 binary64) (*.f64 a a))) (-.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/230400 binary64)))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal -1/110592 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/110592000 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 (*.f64 a a) #s(literal 1/480 binary64)) (-.f64 (*.f64 (*.f64 a a) #s(literal 1/480 binary64)) #s(literal -1/48 binary64))))))
(*.f64 (-.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/230400 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/48 binary64) (*.f64 #s(literal -1/480 binary64) (*.f64 a a)))))

simplify301.0ms (3.5%)

Algorithm
egg-herbie
Rules
4598×+-lowering-+.f64
4598×+-lowering-+.f32
3436×*-lowering-*.f32
3436×*-lowering-*.f64
1170×--lowering--.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03022650
19562336
229522263
082602263
Stop Event
iter limit
node limit
Counts
240 → 240
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 (- (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3))) (+ (* 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 (* 2 (/ 1 (pow a 2)))) (* 2 (/ (+ 1 (exp b)) (pow a 2))))
(- (+ 1 (+ (* -2 (/ (- 2 (* 2 (+ 1 (exp b)))) (pow a 3))) (* 2 (/ 1 (pow a 2))))) (* 2 (/ (+ 1 (exp b)) (pow a 2))))
(- (+ 1 (+ (* -1 (/ (+ (* -4 (- 2 (* 2 (+ 1 (exp b))))) (* 2 (* (+ 1 (exp b)) (- 2 (* 2 (+ 1 (exp b))))))) (pow a 4))) (* 2 (/ 1 (pow a 2))))) (+ (* 2 (/ (+ 1 (exp b)) (pow a 2))) (* 2 (/ (- 2 (* 2 (+ 1 (exp b)))) (pow a 3)))))
1
(- (+ 1 (* 2 (/ 1 (pow a 2)))) (* 2 (/ (+ 1 (exp b)) (pow a 2))))
(- (+ 1 (+ (* -2 (/ (- 2 (* 2 (+ 1 (exp b)))) (pow a 3))) (* 2 (/ 1 (pow a 2))))) (* 2 (/ (+ 1 (exp b)) (pow a 2))))
(- (+ 1 (+ (* -1 (/ (- (+ (* -4 (/ (- 2 (* 2 (+ 1 (exp b)))) a)) (* 2 (/ (* (+ 1 (exp b)) (- 2 (* 2 (+ 1 (exp b))))) a))) (* -2 (- 2 (* 2 (+ 1 (exp b)))))) (pow a 3))) (* 2 (/ 1 (pow a 2))))) (* 2 (/ (+ 1 (exp b)) (pow a 2))))
(/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ 2 (* a (+ 1 (* 1/2 a)))))
(+ (* -1 (* b (+ (/ 1 (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)) (/ (* a (+ 1 (* 1/2 a))) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2))))) (+ (/ 1 (+ 2 (* a (+ 1 (* 1/2 a))))) (/ (* a (+ 1 (* 1/2 a))) (+ 2 (* a (+ 1 (* 1/2 a)))))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (+ (/ 1 (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)) (/ (* a (+ 1 (* 1/2 a))) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2))) (+ 2 (* a (+ 1 (* 1/2 a)))))) (* 1/2 (/ (+ 1 (* a (+ 1 (* 1/2 a)))) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)))))) (+ (/ 1 (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)) (/ (* a (+ 1 (* 1/2 a))) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2))))) (+ (/ 1 (+ 2 (* a (+ 1 (* 1/2 a))))) (/ (* a (+ 1 (* 1/2 a))) (+ 2 (* a (+ 1 (* 1/2 a)))))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (+ (/ 1 (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)) (/ (* a (+ 1 (* 1/2 a))) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2))) (+ 2 (* a (+ 1 (* 1/2 a)))))) (* 1/2 (/ (+ 1 (* a (+ 1 (* 1/2 a)))) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)))) (+ 2 (* a (+ 1 (* 1/2 a)))))) (+ (* -1/2 (/ (+ (/ 1 (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)) (/ (* a (+ 1 (* 1/2 a))) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2))) (+ 2 (* a (+ 1 (* 1/2 a)))))) (* 1/6 (/ (+ 1 (* a (+ 1 (* 1/2 a)))) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2))))))) (+ (* -1 (/ (+ (/ 1 (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)) (/ (* a (+ 1 (* 1/2 a))) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2))) (+ 2 (* a (+ 1 (* 1/2 a)))))) (* 1/2 (/ (+ 1 (* a (+ 1 (* 1/2 a)))) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)))))) (+ (/ 1 (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)) (/ (* a (+ 1 (* 1/2 a))) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2))))) (+ (/ 1 (+ 2 (* a (+ 1 (* 1/2 a))))) (/ (* a (+ 1 (* 1/2 a))) (+ 2 (* a (+ 1 (* 1/2 a)))))))
(/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))
(/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))
(/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))
(/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))
(/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))
(/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))
(/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))
(/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))
1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* 1/2 a))))
(* 1/2 (pow a 2))
(* (pow a 2) (+ 1/2 (/ 1 a)))
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))
(* 1/2 (pow a 2))
(* (pow a 2) (+ 1/2 (/ 1 a)))
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))
a
(* a (+ 1 (* 1/2 a)))
(* a (+ 1 (* 1/2 a)))
(* a (+ 1 (* 1/2 a)))
(* 1/2 (pow a 2))
(* (pow a 2) (+ 1/2 (/ 1 a)))
(* (pow a 2) (+ 1/2 (/ 1 a)))
(* (pow a 2) (+ 1/2 (/ 1 a)))
(* 1/2 (pow a 2))
(* (pow a 2) (+ 1/2 (/ 1 a)))
(* (pow a 2) (+ 1/2 (/ 1 a)))
(* (pow a 2) (+ 1/2 (/ 1 a)))
1
(+ 1 (* 1/2 a))
(+ 1 (* 1/2 a))
(+ 1 (* 1/2 a))
(* 1/2 a)
(* a (+ 1/2 (/ 1 a)))
(* a (+ 1/2 (/ 1 a)))
(* a (+ 1/2 (/ 1 a)))
(* 1/2 a)
(* a (+ 1/2 (/ 1 a)))
(* a (+ 1/2 (/ 1 a)))
(* a (+ 1/2 (/ 1 a)))
1/2
(+ 1/2 (* -1/4 b))
(+ 1/2 (* b (- (* 1/8 b) 1/4)))
(+ 1/2 (* b (- (* b (+ 1/8 (* -1/16 b))) 1/4)))
(/ 1 b)
(/ (- 1 (* 2 (/ 1 b))) b)
(/ (- (+ 1 (/ 4 (pow b 2))) (* 2 (/ 1 b))) b)
(/ (- (+ 1 (/ 4 (pow b 2))) (+ (* 2 (/ 1 b)) (* 8 (/ 1 (pow b 3))))) b)
(/ 1 b)
(* -1 (/ (- (* 2 (/ 1 b)) 1) b))
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 b)) 2) b)) 1) b))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 b)) 4) b)) 2) b)) 1) b))
2
(+ 2 b)
(+ 2 b)
(+ 2 b)
b
(* b (+ 1 (* 2 (/ 1 b))))
(* b (+ 1 (* 2 (/ 1 b))))
(* b (+ 1 (* 2 (/ 1 b))))
b
(* b (+ 1 (* 2 (/ 1 b))))
(* b (+ 1 (* 2 (/ 1 b))))
(* b (+ 1 (* 2 (/ 1 b))))
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)))
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)))))
(* 1/480 (pow a 5))
(* (pow a 5) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))
(* (pow a 5) (- (+ 1/480 (/ 1/4 (pow a 4))) (* 1/48 (/ 1 (pow a 2)))))
(* (pow a 5) (- (+ 1/480 (+ (/ 1/4 (pow a 4)) (* 1/2 (/ 1 (pow a 5))))) (* 1/48 (/ 1 (pow a 2)))))
(* 1/480 (pow a 5))
(* -1 (* (pow a 5) (- (* 1/48 (/ 1 (pow a 2))) 1/480)))
(* -1 (* (pow a 5) (- (* 1/48 (/ 1 (pow a 2))) (+ 1/480 (/ 1/4 (pow a 4))))))
(* -1 (* (pow a 5) (- (+ (* -1 (/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 4))) (* 1/48 (/ 1 (pow a 2)))) 1/480)))
(* 1/4 a)
(* a (+ 1/4 (* -1/48 (pow a 2))))
(* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48))))
(* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48))))
(* 1/480 (pow a 5))
(* (pow a 5) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))
(* (pow a 5) (- (+ 1/480 (/ 1/4 (pow a 4))) (* 1/48 (/ 1 (pow a 2)))))
(* (pow a 5) (- (+ 1/480 (/ 1/4 (pow a 4))) (* 1/48 (/ 1 (pow a 2)))))
(* 1/480 (pow a 5))
(* -1 (* (pow a 5) (- (* 1/48 (/ 1 (pow a 2))) 1/480)))
(* -1 (* (pow a 5) (- (* 1/48 (/ 1 (pow a 2))) (+ 1/480 (/ 1/4 (pow a 4))))))
(* -1 (* (pow a 5) (- (* 1/48 (/ 1 (pow a 2))) (+ 1/480 (/ 1/4 (pow a 4))))))
1/4
(+ 1/4 (* -1/48 (pow a 2)))
(+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))
(+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))
(* 1/480 (pow a 4))
(* (pow a 4) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))
(* (pow a 4) (- (+ 1/480 (/ 1/4 (pow a 4))) (* 1/48 (/ 1 (pow a 2)))))
(* (pow a 4) (- (+ 1/480 (/ 1/4 (pow a 4))) (* 1/48 (/ 1 (pow a 2)))))
(* 1/480 (pow a 4))
(* (pow a 4) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))
(* (pow a 4) (- (+ 1/480 (/ 1/4 (pow a 4))) (* 1/48 (/ 1 (pow a 2)))))
(* (pow a 4) (- (+ 1/480 (/ 1/4 (pow a 4))) (* 1/48 (/ 1 (pow a 2)))))
(* -1/48 (pow a 2))
(* (pow a 2) (- (* 1/480 (pow a 2)) 1/48))
(* (pow a 2) (- (* 1/480 (pow a 2)) 1/48))
(* (pow a 2) (- (* 1/480 (pow a 2)) 1/48))
(* 1/480 (pow a 4))
(* (pow a 4) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))
(* (pow a 4) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))
(* (pow a 4) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))
(* 1/480 (pow a 4))
(* (pow a 4) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))
(* (pow a 4) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))
(* (pow a 4) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))
a
(* a (+ 1 (* 1/2 a)))
(* a (+ 1 (* 1/2 a)))
(* a (+ 1 (* 1/2 a)))
(* 1/2 (pow a 2))
(* (pow a 2) (+ 1/2 (/ 1 a)))
(* (pow a 2) (+ 1/2 (/ 1 a)))
(* (pow a 2) (+ 1/2 (/ 1 a)))
(* 1/2 (pow a 2))
(* (pow a 2) (+ 1/2 (/ 1 a)))
(* (pow a 2) (+ 1/2 (/ 1 a)))
(* (pow a 2) (+ 1/2 (/ 1 a)))
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))
(* 1/2 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)
(* 1/480 (pow a 2))
(* 1/480 (pow a 2))
(* 1/480 (pow a 2))
(* 1/480 (pow a 2))
(* 1/480 (pow a 2))
(* 1/480 (pow a 2))
(* 1/480 (pow a 2))
(* 1/480 (pow a 2))
(* 1/480 (pow a 2))
(* 1/480 (pow a 2))
(* 1/480 (pow a 2))
(* 1/480 (pow a 2))
-1/48
(- (* 1/480 (pow a 2)) 1/48)
(- (* 1/480 (pow a 2)) 1/48)
(- (* 1/480 (pow a 2)) 1/48)
(* 1/480 (pow a 2))
(* (pow a 2) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))
(* (pow a 2) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))
(* (pow a 2) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))
(* 1/480 (pow a 2))
(* (pow a 2) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))
(* (pow a 2) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))
(* (pow a 2) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))
Outputs
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+.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 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal -3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3))) (+ (* 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 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal -3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) (*.f64 a (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 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 -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))))))
1
#s(literal 1 binary64)
(- (+ 1 (* 2 (/ 1 (pow a 2)))) (* 2 (/ (+ 1 (exp b)) (pow a 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (exp.f64 b) #s(literal -2 binary64)) (*.f64 a a)))
(- (+ 1 (+ (* -2 (/ (- 2 (* 2 (+ 1 (exp b)))) (pow a 3))) (* 2 (/ 1 (pow a 2))))) (* 2 (/ (+ 1 (exp b)) (pow a 2))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (exp.f64 b) #s(literal -2 binary64)) (*.f64 a a)) (*.f64 (/.f64 (*.f64 (exp.f64 b) #s(literal -2 binary64)) (*.f64 a a)) (/.f64 #s(literal -2 binary64) a))))
(- (+ 1 (+ (* -1 (/ (+ (* -4 (- 2 (* 2 (+ 1 (exp b))))) (* 2 (* (+ 1 (exp b)) (- 2 (* 2 (+ 1 (exp b))))))) (pow a 4))) (* 2 (/ 1 (pow a 2))))) (+ (* 2 (/ (+ 1 (exp b)) (pow a 2))) (* 2 (/ (- 2 (* 2 (+ 1 (exp b)))) (pow a 3)))))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (exp.f64 b) #s(literal -2 binary64)) (+.f64 #s(literal -2 binary64) (*.f64 (exp.f64 b) #s(literal 2 binary64)))) (pow.f64 a #s(literal 4 binary64)))) (+.f64 (/.f64 (*.f64 (exp.f64 b) #s(literal -2 binary64)) (*.f64 a a)) (*.f64 (/.f64 (*.f64 (exp.f64 b) #s(literal -2 binary64)) (*.f64 a a)) (/.f64 #s(literal -2 binary64) a))))
1
#s(literal 1 binary64)
(- (+ 1 (* 2 (/ 1 (pow a 2)))) (* 2 (/ (+ 1 (exp b)) (pow a 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (exp.f64 b) #s(literal -2 binary64)) (*.f64 a a)))
(- (+ 1 (+ (* -2 (/ (- 2 (* 2 (+ 1 (exp b)))) (pow a 3))) (* 2 (/ 1 (pow a 2))))) (* 2 (/ (+ 1 (exp b)) (pow a 2))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (exp.f64 b) #s(literal -2 binary64)) (*.f64 a a)) (*.f64 (/.f64 (*.f64 (exp.f64 b) #s(literal -2 binary64)) (*.f64 a a)) (/.f64 #s(literal -2 binary64) a))))
(- (+ 1 (+ (* -1 (/ (- (+ (* -4 (/ (- 2 (* 2 (+ 1 (exp b)))) a)) (* 2 (/ (* (+ 1 (exp b)) (- 2 (* 2 (+ 1 (exp b))))) a))) (* -2 (- 2 (* 2 (+ 1 (exp b)))))) (pow a 3))) (* 2 (/ 1 (pow a 2))))) (* 2 (/ (+ 1 (exp b)) (pow a 2))))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (/.f64 (*.f64 (exp.f64 b) #s(literal -2 binary64)) a) (+.f64 #s(literal -2 binary64) (*.f64 (exp.f64 b) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 (exp.f64 b) #s(literal -2 binary64)))) (*.f64 a (*.f64 a a)))) (/.f64 (*.f64 (exp.f64 b) #s(literal -2 binary64)) (*.f64 a a)))
(/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ 2 (* a (+ 1 (* 1/2 a)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))))
(+ (* -1 (* b (+ (/ 1 (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)) (/ (* a (+ 1 (* 1/2 a))) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2))))) (+ (/ 1 (+ 2 (* a (+ 1 (* 1/2 a))))) (/ (* a (+ 1 (* 1/2 a))) (+ 2 (* a (+ 1 (* 1/2 a)))))))
(+.f64 (*.f64 b (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))))) (/.f64 (/.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))))) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))))) (/.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (+ (/ 1 (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)) (/ (* a (+ 1 (* 1/2 a))) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2))) (+ 2 (* a (+ 1 (* 1/2 a)))))) (* 1/2 (/ (+ 1 (* a (+ 1 (* 1/2 a)))) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)))))) (+ (/ 1 (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)) (/ (* a (+ 1 (* 1/2 a))) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2))))) (+ (/ 1 (+ 2 (* a (+ 1 (* 1/2 a))))) (/ (* a (+ 1 (* 1/2 a))) (+ 2 (* a (+ 1 (* 1/2 a)))))))
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1
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(* 1/2 (pow a 2))
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a
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(* 1/2 (pow a 2))
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1/2
#s(literal 1/2 binary64)
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1/2
#s(literal 1/2 binary64)
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(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -16 binary64) (*.f64 b b))) b)) (*.f64 b b))
(/ (+ 2 (* -1 (/ (- (+ 4 (/ 32 (pow b 3))) (* 16 (/ 1 (pow b 2)))) b))) (pow b 2))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -16 binary64) (*.f64 b b))) (/.f64 #s(literal 32 binary64) (*.f64 b (*.f64 b b)))) b)) (*.f64 b 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 b #s(literal 1/2 binary64)))))
(+ 2 (* b (+ 1 (* 1/2 b))))
(+.f64 #s(literal 2 binary64) (*.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) (/ 2 (pow b 2)))))
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))))))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))))))
(* 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 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))))))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))))))
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)))
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 (* a (+ 1/4 (* -1/48 (pow a 2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) #s(literal -1/48 binary64)))))
(+ 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 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))))))
(* 1/480 (pow a 5))
(*.f64 #s(literal 1/480 binary64) (pow.f64 a #s(literal 5 binary64)))
(* (pow a 5) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))
(*.f64 (pow.f64 a #s(literal 5 binary64)) (-.f64 #s(literal 1/480 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 a a))))
(* (pow a 5) (- (+ 1/480 (/ 1/4 (pow a 4))) (* 1/48 (/ 1 (pow a 2)))))
(*.f64 (pow.f64 a #s(literal 5 binary64)) (+.f64 (-.f64 #s(literal 1/480 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 a a))) (/.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64)))))
(* (pow a 5) (- (+ 1/480 (+ (/ 1/4 (pow a 4)) (* 1/2 (/ 1 (pow a 5))))) (* 1/48 (/ 1 (pow a 2)))))
(*.f64 (pow.f64 a #s(literal 5 binary64)) (+.f64 (-.f64 #s(literal 1/480 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 a a))) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 5 binary64))))))
(* 1/480 (pow a 5))
(*.f64 #s(literal 1/480 binary64) (pow.f64 a #s(literal 5 binary64)))
(* -1 (* (pow a 5) (- (* 1/48 (/ 1 (pow a 2))) 1/480)))
(*.f64 (pow.f64 a #s(literal 5 binary64)) (-.f64 #s(literal 1/480 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 a a))))
(* -1 (* (pow a 5) (- (* 1/48 (/ 1 (pow a 2))) (+ 1/480 (/ 1/4 (pow a 4))))))
(*.f64 (pow.f64 a #s(literal 5 binary64)) (+.f64 (-.f64 #s(literal 1/480 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 a a))) (/.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64)))))
(* -1 (* (pow a 5) (- (+ (* -1 (/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 4))) (* 1/48 (/ 1 (pow a 2)))) 1/480)))
(*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/48 binary64) (*.f64 a a)) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) (pow.f64 a #s(literal 4 binary64)))) #s(literal -1/480 binary64)) #s(literal -1 binary64)))
(* 1/4 a)
(*.f64 a #s(literal 1/4 binary64))
(* a (+ 1/4 (* -1/48 (pow a 2))))
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) #s(literal -1/48 binary64))))
(* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48))))
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64))))))
(* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48))))
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64))))))
(* 1/480 (pow a 5))
(*.f64 #s(literal 1/480 binary64) (pow.f64 a #s(literal 5 binary64)))
(* (pow a 5) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))
(*.f64 (pow.f64 a #s(literal 5 binary64)) (-.f64 #s(literal 1/480 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 a a))))
(* (pow a 5) (- (+ 1/480 (/ 1/4 (pow a 4))) (* 1/48 (/ 1 (pow a 2)))))
(*.f64 (pow.f64 a #s(literal 5 binary64)) (+.f64 (-.f64 #s(literal 1/480 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 a a))) (/.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64)))))
(* (pow a 5) (- (+ 1/480 (/ 1/4 (pow a 4))) (* 1/48 (/ 1 (pow a 2)))))
(*.f64 (pow.f64 a #s(literal 5 binary64)) (+.f64 (-.f64 #s(literal 1/480 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 a a))) (/.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64)))))
(* 1/480 (pow a 5))
(*.f64 #s(literal 1/480 binary64) (pow.f64 a #s(literal 5 binary64)))
(* -1 (* (pow a 5) (- (* 1/48 (/ 1 (pow a 2))) 1/480)))
(*.f64 (pow.f64 a #s(literal 5 binary64)) (-.f64 #s(literal 1/480 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 a a))))
(* -1 (* (pow a 5) (- (* 1/48 (/ 1 (pow a 2))) (+ 1/480 (/ 1/4 (pow a 4))))))
(*.f64 (pow.f64 a #s(literal 5 binary64)) (+.f64 (-.f64 #s(literal 1/480 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 a a))) (/.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64)))))
(* -1 (* (pow a 5) (- (* 1/48 (/ 1 (pow a 2))) (+ 1/480 (/ 1/4 (pow a 4))))))
(*.f64 (pow.f64 a #s(literal 5 binary64)) (+.f64 (-.f64 #s(literal 1/480 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 a a))) (/.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64)))))
1/4
#s(literal 1/4 binary64)
(+ 1/4 (* -1/48 (pow a 2)))
(+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) #s(literal -1/48 binary64)))
(+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))
(+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))))
(+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))
(+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))))
(* 1/480 (pow a 4))
(*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/480 binary64))
(* (pow a 4) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))
(*.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1/480 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 a a))))
(* (pow a 4) (- (+ 1/480 (/ 1/4 (pow a 4))) (* 1/48 (/ 1 (pow a 2)))))
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 (-.f64 #s(literal 1/480 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 a a))) (/.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64)))))
(* (pow a 4) (- (+ 1/480 (/ 1/4 (pow a 4))) (* 1/48 (/ 1 (pow a 2)))))
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 (-.f64 #s(literal 1/480 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 a a))) (/.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64)))))
(* 1/480 (pow a 4))
(*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/480 binary64))
(* (pow a 4) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))
(*.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1/480 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 a a))))
(* (pow a 4) (- (+ 1/480 (/ 1/4 (pow a 4))) (* 1/48 (/ 1 (pow a 2)))))
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 (-.f64 #s(literal 1/480 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 a a))) (/.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64)))))
(* (pow a 4) (- (+ 1/480 (/ 1/4 (pow a 4))) (* 1/48 (/ 1 (pow a 2)))))
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 (-.f64 #s(literal 1/480 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 a a))) (/.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64)))))
(* -1/48 (pow a 2))
(*.f64 (*.f64 a a) #s(literal -1/48 binary64))
(* (pow a 2) (- (* 1/480 (pow a 2)) 1/48))
(*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64))))
(* (pow a 2) (- (* 1/480 (pow a 2)) 1/48))
(*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64))))
(* (pow a 2) (- (* 1/480 (pow a 2)) 1/48))
(*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64))))
(* 1/480 (pow a 4))
(*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/480 binary64))
(* (pow a 4) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))
(*.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1/480 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 a a))))
(* (pow a 4) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))
(*.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1/480 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 a a))))
(* (pow a 4) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))
(*.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1/480 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 a a))))
(* 1/480 (pow a 4))
(*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/480 binary64))
(* (pow a 4) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))
(*.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1/480 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 a a))))
(* (pow a 4) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))
(*.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1/480 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 a a))))
(* (pow a 4) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))
(*.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1/480 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 a a))))
a
(* a (+ 1 (* 1/2 a)))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))
(* a (+ 1 (* 1/2 a)))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))
(* a (+ 1 (* 1/2 a)))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))
(* 1/2 (pow a 2))
(*.f64 a (*.f64 a #s(literal 1/2 binary64)))
(* (pow a 2) (+ 1/2 (/ 1 a)))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))
(* (pow a 2) (+ 1/2 (/ 1 a)))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))
(* (pow a 2) (+ 1/2 (/ 1 a)))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))
(* 1/2 (pow a 2))
(*.f64 a (*.f64 a #s(literal 1/2 binary64)))
(* (pow a 2) (+ 1/2 (/ 1 a)))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))
(* (pow a 2) (+ 1/2 (/ 1 a)))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))
(* (pow a 2) (+ 1/2 (/ 1 a)))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))
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 b #s(literal 1/2 binary64)))))
(+ 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))
(* 1/2 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))
(* 1/480 (pow a 2))
(*.f64 (*.f64 a a) #s(literal 1/480 binary64))
(* 1/480 (pow a 2))
(*.f64 (*.f64 a a) #s(literal 1/480 binary64))
(* 1/480 (pow a 2))
(*.f64 (*.f64 a a) #s(literal 1/480 binary64))
(* 1/480 (pow a 2))
(*.f64 (*.f64 a a) #s(literal 1/480 binary64))
(* 1/480 (pow a 2))
(*.f64 (*.f64 a a) #s(literal 1/480 binary64))
(* 1/480 (pow a 2))
(*.f64 (*.f64 a a) #s(literal 1/480 binary64))
(* 1/480 (pow a 2))
(*.f64 (*.f64 a a) #s(literal 1/480 binary64))
(* 1/480 (pow a 2))
(*.f64 (*.f64 a a) #s(literal 1/480 binary64))
(* 1/480 (pow a 2))
(*.f64 (*.f64 a a) #s(literal 1/480 binary64))
(* 1/480 (pow a 2))
(*.f64 (*.f64 a a) #s(literal 1/480 binary64))
(* 1/480 (pow a 2))
(*.f64 (*.f64 a a) #s(literal 1/480 binary64))
(* 1/480 (pow a 2))
(*.f64 (*.f64 a a) #s(literal 1/480 binary64))
-1/48
#s(literal -1/48 binary64)
(- (* 1/480 (pow a 2)) 1/48)
(+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))
(- (* 1/480 (pow a 2)) 1/48)
(+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))
(- (* 1/480 (pow a 2)) 1/48)
(+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))
(* 1/480 (pow a 2))
(*.f64 (*.f64 a a) #s(literal 1/480 binary64))
(* (pow a 2) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))
(*.f64 a (*.f64 a (-.f64 #s(literal 1/480 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 a a)))))
(* (pow a 2) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))
(*.f64 a (*.f64 a (-.f64 #s(literal 1/480 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 a a)))))
(* (pow a 2) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))
(*.f64 a (*.f64 a (-.f64 #s(literal 1/480 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 a a)))))
(* 1/480 (pow a 2))
(*.f64 (*.f64 a a) #s(literal 1/480 binary64))
(* (pow a 2) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))
(*.f64 a (*.f64 a (-.f64 #s(literal 1/480 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 a a)))))
(* (pow a 2) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))
(*.f64 a (*.f64 a (-.f64 #s(literal 1/480 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 a a)))))
(* (pow a 2) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))
(*.f64 a (*.f64 a (-.f64 #s(literal 1/480 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 a a)))))

eval106.0ms (1.2%)

Compiler

Compiled 22312 to 2273 computations (89.8% saved)

prune118.0ms (1.4%)

Pruning

18 alts after pruning (13 fresh and 5 done)

PrunedKeptTotal
New77011781
Fresh224
Picked235
Done022
Total77418792
Accuracy
100.0%
Counts
792 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
68.3%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
67.2%
(/.f64 (exp.f64 a) #s(literal 2 binary64))
20.4%
(/.f64 #s(literal 2 binary64) (*.f64 b b))
38.2%
(/.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))))))
38.6%
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
43.5%
(/.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))))))
59.3%
(/.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))))))))
80.8%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
46.7%
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b)))))))
20.0%
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))
3.5%
(/.f64 #s(literal 1 binary64) b)
40.5%
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))) (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64))))))) 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))))))))
40.8%
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))))))
40.7%
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) #s(literal -1/48 binary64)))))
40.8%
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
17.7%
(*.f64 #s(literal 1/480 binary64) (pow.f64 a #s(literal 5 binary64)))
24.1%
#s(literal 1 binary64)
40.4%
#s(literal 1/2 binary64)
Compiler

Compiled 478 to 278 computations (41.8% saved)

simplify202.0ms (2.4%)

Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))) (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))))))
cost-diff0
(*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))) (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64))))))) a)
cost-diff0
(/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))) (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64))))))) 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)))))))
cost-diff0
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))) (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64))))))) 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))))))))
cost-diff128
(*.f64 b (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))))
cost-diff128
(+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b)))))
cost-diff256
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))))))
cost-diff256
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.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
3222×*-lowering-*.f32
3222×*-lowering-*.f64
1518×fma-lowering-fma.f32
1518×fma-lowering-fma.f64
1434×+-lowering-+.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
030317
192295
2370278
31912253
45972253
08052253
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (exp a) 2)
(exp a)
a
2
1
(/ 2 (* b b))
2
(* b b)
b
(/ 1 (* b (+ 1 (* b (+ 1/2 (/ 2 (* b b)))))))
1
(* b (+ 1 (* b (+ 1/2 (/ 2 (* b b))))))
b
(+ 1 (* b (+ 1/2 (/ 2 (* b b)))))
(* b (+ 1/2 (/ 2 (* b b))))
(+ 1/2 (/ 2 (* b b)))
1/2
(/ 2 (* b b))
2
(* b b)
(+ 1/2 (/ (* (- 1/16 (* (* a a) (* (* a (+ -1/48 (* (* a a) 1/480))) (* a (+ -1/48 (* (* a a) 1/480)))))) a) (- 1/4 (* a (* a (+ -1/48 (* (* a a) 1/480)))))))
1/2
(/ (* (- 1/16 (* (* a a) (* (* a (+ -1/48 (* (* a a) 1/480))) (* a (+ -1/48 (* (* a a) 1/480)))))) a) (- 1/4 (* a (* a (+ -1/48 (* (* a a) 1/480))))))
(* (- 1/16 (* (* a a) (* (* a (+ -1/48 (* (* a a) 1/480))) (* a (+ -1/48 (* (* a a) 1/480)))))) a)
(- 1/16 (* (* a a) (* (* a (+ -1/48 (* (* a a) 1/480))) (* a (+ -1/48 (* (* a a) 1/480))))))
1/16
(* (* a a) (* (* a (+ -1/48 (* (* a a) 1/480))) (* a (+ -1/48 (* (* a a) 1/480)))))
(* a a)
a
(* (* a (+ -1/48 (* (* a a) 1/480))) (* a (+ -1/48 (* (* a a) 1/480))))
(* a (+ -1/48 (* (* a a) 1/480)))
(+ -1/48 (* (* a a) 1/480))
-1/48
(* (* a a) 1/480)
1/480
(- 1/4 (* a (* a (+ -1/48 (* (* a a) 1/480)))))
1/4
(* a (* a (+ -1/48 (* (* a a) 1/480))))
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 (/.f64 #s(literal 2 binary64) b) b)
2
#s(literal 2 binary64)
(* b b)
(*.f64 b b)
b
(/ 1 (* b (+ 1 (* b (+ 1/2 (/ 2 (* b b)))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))))
1
#s(literal 1 binary64)
(* b (+ 1 (* b (+ 1/2 (/ 2 (* b b))))))
(+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))
b
(+ 1 (* b (+ 1/2 (/ 2 (* b b)))))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)))
(* b (+ 1/2 (/ 2 (* b b))))
(+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b))
(+ 1/2 (/ 2 (* b b)))
(+.f64 (/.f64 (/.f64 #s(literal 2 binary64) b) b) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(/ 2 (* b b))
(/.f64 (/.f64 #s(literal 2 binary64) b) b)
2
#s(literal 2 binary64)
(* b b)
(*.f64 b b)
(+ 1/2 (/ (* (- 1/16 (* (* a a) (* (* a (+ -1/48 (* (* a a) 1/480))) (* a (+ -1/48 (* (* a a) 1/480)))))) a) (- 1/4 (* a (* a (+ -1/48 (* (* a a) 1/480)))))))
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (+.f64 #s(literal 1/16 binary64) (*.f64 (-.f64 #s(literal 1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))) (*.f64 (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))) (*.f64 a (*.f64 a (*.f64 a a))))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (-.f64 #s(literal 1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))))))
1/2
#s(literal 1/2 binary64)
(/ (* (- 1/16 (* (* a a) (* (* a (+ -1/48 (* (* a a) 1/480))) (* a (+ -1/48 (* (* a a) 1/480)))))) a) (- 1/4 (* a (* a (+ -1/48 (* (* a a) 1/480))))))
(/.f64 (*.f64 a (+.f64 #s(literal 1/16 binary64) (*.f64 (-.f64 #s(literal 1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))) (*.f64 (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))) (*.f64 a (*.f64 a (*.f64 a a))))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (-.f64 #s(literal 1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))))))
(* (- 1/16 (* (* a a) (* (* a (+ -1/48 (* (* a a) 1/480))) (* a (+ -1/48 (* (* a a) 1/480)))))) a)
(*.f64 a (+.f64 #s(literal 1/16 binary64) (*.f64 (-.f64 #s(literal 1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))) (*.f64 (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))) (*.f64 a (*.f64 a (*.f64 a a)))))))
(- 1/16 (* (* a a) (* (* a (+ -1/48 (* (* a a) 1/480))) (* a (+ -1/48 (* (* a a) 1/480))))))
(+.f64 #s(literal 1/16 binary64) (*.f64 (-.f64 #s(literal 1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))) (*.f64 (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))) (*.f64 a (*.f64 a (*.f64 a a))))))
1/16
#s(literal 1/16 binary64)
(* (* a a) (* (* a (+ -1/48 (* (* a a) 1/480))) (* a (+ -1/48 (* (* a a) 1/480)))))
(*.f64 (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))) (*.f64 (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))) (*.f64 a (*.f64 a (*.f64 a a)))))
(* a a)
(*.f64 a a)
a
(* (* a (+ -1/48 (* (* a a) 1/480))) (* a (+ -1/48 (* (* a a) 1/480))))
(*.f64 a (*.f64 a (*.f64 (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))))))
(* a (+ -1/48 (* (* a a) 1/480)))
(*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))))
(+ -1/48 (* (* a a) 1/480))
(+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))
-1/48
#s(literal -1/48 binary64)
(* (* a a) 1/480)
(*.f64 a (*.f64 a #s(literal 1/480 binary64)))
1/480
#s(literal 1/480 binary64)
(- 1/4 (* a (* a (+ -1/48 (* (* a a) 1/480)))))
(+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (-.f64 #s(literal 1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))))
1/4
#s(literal 1/4 binary64)
(* a (* a (+ -1/48 (* (* a a) 1/480))))
(*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))))

localize154.0ms (1.8%)

Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy99.7%
(*.f64 (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))) (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))))
accuracy99.6%
(*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64))))
accuracy99.5%
(*.f64 (*.f64 a a) #s(literal 1/480 binary64))
accuracy76.6%
(/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))) (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64))))))) 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)))))))
accuracy99.9%
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))))))
accuracy99.4%
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b)))))))
accuracy99.4%
(/.f64 #s(literal 2 binary64) (*.f64 b b))
accuracy74.6%
(*.f64 b (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.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)
Results
95.0ms256×0valid
Compiler

Compiled 321 to 31 computations (90.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-mult: 24.0ms (48.8% of total)
ival-div: 7.0ms (14.2% of total)
...c/correct-round.rkt:119:19: 7.0ms (14.2% of total)
ival-add: 5.0ms (10.2% of total)
ival-sub: 2.0ms (4.1% of total)
ival-exp: 2.0ms (4.1% of total)
const: 1.0ms (2% of total)
backward-pass: 0.0ms (0% of total)

series10.0ms (0.1%)

Counts
15 → 180
Calls
Call 1
Inputs
#<alt (/ (exp a) 2)>
#<alt (exp a)>
#<alt (/ 2 (* b b))>
#<alt (* b b)>
#<alt (/ 1 (* b (+ 1 (* b (+ 1/2 (/ 2 (* b b)))))))>
#<alt (* b (+ 1 (* b (+ 1/2 (/ 2 (* b b))))))>
#<alt (+ 1 (* b (+ 1/2 (/ 2 (* b b)))))>
#<alt (* b (+ 1/2 (/ 2 (* b b))))>
#<alt (+ 1/2 (/ (* (- 1/16 (* (* a a) (* (* a (+ -1/48 (* (* a a) 1/480))) (* a (+ -1/48 (* (* a a) 1/480)))))) a) (- 1/4 (* a (* a (+ -1/48 (* (* a a) 1/480)))))))>
#<alt (/ (* (- 1/16 (* (* a a) (* (* a (+ -1/48 (* (* a a) 1/480))) (* a (+ -1/48 (* (* a a) 1/480)))))) a) (- 1/4 (* a (* a (+ -1/48 (* (* a a) 1/480))))))>
#<alt (* (- 1/16 (* (* a a) (* (* a (+ -1/48 (* (* a a) 1/480))) (* a (+ -1/48 (* (* a a) 1/480)))))) a)>
#<alt (- 1/16 (* (* a a) (* (* a (+ -1/48 (* (* a a) 1/480))) (* a (+ -1/48 (* (* a a) 1/480))))))>
#<alt (* (* a a) 1/480)>
#<alt (* a (+ -1/48 (* (* a a) 1/480)))>
#<alt (* (* a (+ -1/48 (* (* a a) 1/480))) (* a (+ -1/48 (* (* a a) 1/480))))>
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 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 (/ 2 b)>
#<alt (/ (+ 2 b) b)>
#<alt (/ (+ 2 (* b (+ 1 (* 1/2 b)))) b)>
#<alt (/ (+ 2 (* b (+ 1 (* 1/2 b)))) b)>
#<alt (* 1/2 b)>
#<alt (* b (+ 1/2 (/ 1 b)))>
#<alt (* b (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))>
#<alt (* b (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))>
#<alt (* 1/2 b)>
#<alt (* b (+ 1/2 (/ 1 b)))>
#<alt (* -1 (* b (- (* -1 (/ (+ 1 (* 2 (/ 1 b))) b)) 1/2)))>
#<alt (* -1 (* b (- (* -1 (/ (+ 1 (* 2 (/ 1 b))) b)) 1/2)))>
#<alt (/ 2 b)>
#<alt (/ (+ 2 (* 1/2 (pow b 2))) b)>
#<alt (/ (+ 2 (* 1/2 (pow b 2))) b)>
#<alt (/ (+ 2 (* 1/2 (pow b 2))) b)>
#<alt (* 1/2 b)>
#<alt (* b (+ 1/2 (* 2 (/ 1 (pow b 2)))))>
#<alt (* b (+ 1/2 (* 2 (/ 1 (pow b 2)))))>
#<alt (* b (+ 1/2 (* 2 (/ 1 (pow b 2)))))>
#<alt (* 1/2 b)>
#<alt (* b (+ 1/2 (* 2 (/ 1 (pow b 2)))))>
#<alt (* b (+ 1/2 (* 2 (/ 1 (pow b 2)))))>
#<alt (* b (+ 1/2 (* 2 (/ 1 (pow b 2)))))>
#<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 (* 1/480 (pow a 5))>
#<alt (* (pow a 5) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))>
#<alt (* (pow a 5) (- (+ 1/480 (/ 1/4 (pow a 4))) (* 1/48 (/ 1 (pow a 2)))))>
#<alt (* (pow a 5) (- (+ 1/480 (+ (/ 1/4 (pow a 4)) (* 1/2 (/ 1 (pow a 5))))) (* 1/48 (/ 1 (pow a 2)))))>
#<alt (* 1/480 (pow a 5))>
#<alt (* -1 (* (pow a 5) (- (* 1/48 (/ 1 (pow a 2))) 1/480)))>
#<alt (* -1 (* (pow a 5) (- (* 1/48 (/ 1 (pow a 2))) (+ 1/480 (/ 1/4 (pow a 4))))))>
#<alt (* -1 (* (pow a 5) (- (+ (* -1 (/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 4))) (* 1/48 (/ 1 (pow a 2)))) 1/480)))>
#<alt (* 1/4 a)>
#<alt (* a (+ 1/4 (* -1/48 (pow a 2))))>
#<alt (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48))))>
#<alt (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48))))>
#<alt (* 1/480 (pow a 5))>
#<alt (* (pow a 5) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))>
#<alt (* (pow a 5) (- (+ 1/480 (/ 1/4 (pow a 4))) (* 1/48 (/ 1 (pow a 2)))))>
#<alt (* (pow a 5) (- (+ 1/480 (/ 1/4 (pow a 4))) (* 1/48 (/ 1 (pow a 2)))))>
#<alt (* 1/480 (pow a 5))>
#<alt (* -1 (* (pow a 5) (- (* 1/48 (/ 1 (pow a 2))) 1/480)))>
#<alt (* -1 (* (pow a 5) (- (* 1/48 (/ 1 (pow a 2))) (+ 1/480 (/ 1/4 (pow a 4))))))>
#<alt (* -1 (* (pow a 5) (- (* 1/48 (/ 1 (pow a 2))) (+ 1/480 (/ 1/4 (pow a 4))))))>
#<alt (* 1/16 a)>
#<alt (* a (+ 1/16 (* -1/2304 (pow a 4))))>
#<alt (* a (+ 1/16 (* (pow a 4) (- (* 1/11520 (pow a 2)) 1/2304))))>
#<alt (* a (+ 1/16 (* (pow a 4) (- (* (pow a 2) (+ 1/11520 (* -1/230400 (pow a 2)))) 1/2304))))>
#<alt (* -1/230400 (pow a 9))>
#<alt (* (pow a 9) (- (* 1/11520 (/ 1 (pow a 2))) 1/230400))>
#<alt (* (pow a 9) (- (* 1/11520 (/ 1 (pow a 2))) (+ 1/230400 (/ 1/2304 (pow a 4)))))>
#<alt (* (pow a 9) (- (+ (* 1/11520 (/ 1 (pow a 2))) (* 1/16 (/ 1 (pow a 8)))) (+ 1/230400 (/ 1/2304 (pow a 4)))))>
#<alt (* -1/230400 (pow a 9))>
#<alt (* -1 (* (pow a 9) (- 1/230400 (* 1/11520 (/ 1 (pow a 2))))))>
#<alt (* -1 (* (pow a 9) (- (+ 1/230400 (/ 1/2304 (pow a 4))) (* 1/11520 (/ 1 (pow a 2))))))>
#<alt (* -1 (* (pow a 9) (- (+ 1/230400 (/ 1/2304 (pow a 4))) (+ (* 1/11520 (/ 1 (pow a 2))) (* 1/16 (/ 1 (pow a 8)))))))>
#<alt 1/16>
#<alt (+ 1/16 (* -1/2304 (pow a 4)))>
#<alt (+ 1/16 (* (pow a 4) (- (* 1/11520 (pow a 2)) 1/2304)))>
#<alt (+ 1/16 (* (pow a 4) (- (* (pow a 2) (+ 1/11520 (* -1/230400 (pow a 2)))) 1/2304)))>
#<alt (* -1/230400 (pow a 8))>
#<alt (* (pow a 8) (- (* 1/11520 (/ 1 (pow a 2))) 1/230400))>
#<alt (* (pow a 8) (- (* 1/11520 (/ 1 (pow a 2))) (+ 1/230400 (/ 1/2304 (pow a 4)))))>
#<alt (* (pow a 8) (- (+ (* 1/11520 (/ 1 (pow a 2))) (* 1/16 (/ 1 (pow a 8)))) (+ 1/230400 (/ 1/2304 (pow a 4)))))>
#<alt (* -1/230400 (pow a 8))>
#<alt (* (pow a 8) (- (* 1/11520 (/ 1 (pow a 2))) 1/230400))>
#<alt (* (pow a 8) (- (* 1/11520 (/ 1 (pow a 2))) (+ 1/230400 (/ 1/2304 (pow a 4)))))>
#<alt (* (pow a 8) (- (+ (* 1/11520 (/ 1 (pow a 2))) (* 1/16 (/ 1 (pow a 8)))) (+ 1/230400 (/ 1/2304 (pow a 4)))))>
#<alt (* 1/480 (pow a 2))>
#<alt (* 1/480 (pow a 2))>
#<alt (* 1/480 (pow a 2))>
#<alt (* 1/480 (pow a 2))>
#<alt (* 1/480 (pow a 2))>
#<alt (* 1/480 (pow a 2))>
#<alt (* 1/480 (pow a 2))>
#<alt (* 1/480 (pow a 2))>
#<alt (* 1/480 (pow a 2))>
#<alt (* 1/480 (pow a 2))>
#<alt (* 1/480 (pow a 2))>
#<alt (* 1/480 (pow a 2))>
#<alt (* -1/48 a)>
#<alt (* a (- (* 1/480 (pow a 2)) 1/48))>
#<alt (* a (- (* 1/480 (pow a 2)) 1/48))>
#<alt (* a (- (* 1/480 (pow a 2)) 1/48))>
#<alt (* 1/480 (pow a 3))>
#<alt (* (pow a 3) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))>
#<alt (* (pow a 3) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))>
#<alt (* (pow a 3) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))>
#<alt (* 1/480 (pow a 3))>
#<alt (* -1 (* (pow a 3) (- (* 1/48 (/ 1 (pow a 2))) 1/480)))>
#<alt (* -1 (* (pow a 3) (- (* 1/48 (/ 1 (pow a 2))) 1/480)))>
#<alt (* -1 (* (pow a 3) (- (* 1/48 (/ 1 (pow a 2))) 1/480)))>
#<alt (* 1/2304 (pow a 2))>
#<alt (* (pow a 2) (+ 1/2304 (* -1/11520 (pow a 2))))>
#<alt (* (pow a 2) (+ 1/2304 (* (pow a 2) (- (* 1/230400 (pow a 2)) 1/11520))))>
#<alt (* (pow a 2) (+ 1/2304 (* (pow a 2) (- (* 1/230400 (pow a 2)) 1/11520))))>
#<alt (* 1/230400 (pow a 6))>
#<alt (* (pow a 6) (- 1/230400 (* 1/11520 (/ 1 (pow a 2)))))>
#<alt (* (pow a 6) (- (+ 1/230400 (/ 1/2304 (pow a 4))) (* 1/11520 (/ 1 (pow a 2)))))>
#<alt (* (pow a 6) (- (+ 1/230400 (/ 1/2304 (pow a 4))) (* 1/11520 (/ 1 (pow a 2)))))>
#<alt (* 1/230400 (pow a 6))>
#<alt (* (pow a 6) (- 1/230400 (* 1/11520 (/ 1 (pow a 2)))))>
#<alt (* (pow a 6) (- (+ 1/230400 (/ 1/2304 (pow a 4))) (* 1/11520 (/ 1 (pow a 2)))))>
#<alt (* (pow a 6) (- (+ 1/230400 (/ 1/2304 (pow a 4))) (* 1/11520 (/ 1 (pow a 2)))))>
Calls

45 calls:

TimeVariablePointExpression
1.0ms
b
@0
(* b (+ 1/2 (/ 2 (* b b))))
0.0ms
b
@0
(/ 2 (* b b))
0.0ms
a
@inf
(+ 1/2 (/ (* (- 1/16 (* (* a a) (* (* a (+ -1/48 (* (* a a) 1/480))) (* a (+ -1/48 (* (* a a) 1/480)))))) a) (- 1/4 (* a (* a (+ -1/48 (* (* a a) 1/480)))))))
0.0ms
a
@inf
(/ (* (- 1/16 (* (* a a) (* (* a (+ -1/48 (* (* a a) 1/480))) (* a (+ -1/48 (* (* a a) 1/480)))))) a) (- 1/4 (* a (* a (+ -1/48 (* (* a a) 1/480))))))
0.0ms
a
@0
(/ (* (- 1/16 (* (* a a) (* (* a (+ -1/48 (* (* a a) 1/480))) (* a (+ -1/48 (* (* a a) 1/480)))))) a) (- 1/4 (* a (* a (+ -1/48 (* (* a a) 1/480))))))

rewrite421.0ms (4.9%)

Algorithm
batch-egg-rewrite
Rules
3726×*-lowering-*.f32
3726×*-lowering-*.f64
3346×/-lowering-/.f32
3346×/-lowering-/.f64
1998×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
030190
1202137
21822125
08670125
Stop Event
iter limit
node limit
Counts
15 → 393
Calls
Call 1
Inputs
(/ (exp a) 2)
(exp a)
(/ 2 (* b b))
(* b b)
(/ 1 (* b (+ 1 (* b (+ 1/2 (/ 2 (* b b)))))))
(* b (+ 1 (* b (+ 1/2 (/ 2 (* b b))))))
(+ 1 (* b (+ 1/2 (/ 2 (* b b)))))
(* b (+ 1/2 (/ 2 (* b b))))
(+ 1/2 (/ (* (- 1/16 (* (* a a) (* (* a (+ -1/48 (* (* a a) 1/480))) (* a (+ -1/48 (* (* a a) 1/480)))))) a) (- 1/4 (* a (* a (+ -1/48 (* (* a a) 1/480)))))))
(/ (* (- 1/16 (* (* a a) (* (* a (+ -1/48 (* (* a a) 1/480))) (* a (+ -1/48 (* (* a a) 1/480)))))) a) (- 1/4 (* a (* a (+ -1/48 (* (* a a) 1/480))))))
(* (- 1/16 (* (* a a) (* (* a (+ -1/48 (* (* a a) 1/480))) (* a (+ -1/48 (* (* a a) 1/480)))))) a)
(- 1/16 (* (* a a) (* (* a (+ -1/48 (* (* a a) 1/480))) (* a (+ -1/48 (* (* a a) 1/480))))))
(* (* a a) 1/480)
(* a (+ -1/48 (* (* a a) 1/480)))
(* (* a (+ -1/48 (* (* a a) 1/480))) (* a (+ -1/48 (* (* a a) 1/480))))
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)))
(/.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 (/.f64 #s(literal 2 binary64) (exp.f64 a)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (exp.f64 a)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (exp.f64 a))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 2 binary64) (exp.f64 a)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) #s(literal -2 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a))) #s(literal 2 binary64))
(/.f64 (neg.f64 (neg.f64 (-.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))
(pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) (exp.f64 a)) #s(literal 1 binary64)) #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 (exp.f64 (-.f64 #s(literal 0 binary64) a)) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) #s(literal -1/2 binary64))
(exp.f64 a)
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 b b) #s(literal 2 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -2 binary64) (*.f64 b b)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(/.f64 #s(literal 2 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 b b) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 #s(literal 2 binary64) b)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 b b) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 b b) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 b b) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b (/.f64 #s(literal 2 binary64) b))))
(/.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b b)))
(/.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)))))
(/.f64 (/.f64 #s(literal 2 binary64) b) b)
(/.f64 (neg.f64 (/.f64 #s(literal 2 binary64) b)) (neg.f64 b))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 2 binary64) b))) (neg.f64 (neg.f64 b)))
(pow.f64 (/.f64 (*.f64 b b) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 b b) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(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 -2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b 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 1 binary64) b) (/.f64 #s(literal 2 binary64) b))
(exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)))
(pow.f64 b #s(literal 2 binary64))
(pow.f64 (*.f64 b b) #s(literal 1 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 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)))
(exp.f64 (*.f64 (log.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b))))))
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 b (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b))) (/.f64 #s(literal 1 binary64) b)))
(/.f64 #s(literal -1 binary64) (*.f64 b (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (*.f64 b (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b))) (/.f64 #s(literal 1 binary64) b))))
(/.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b))))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) b)) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)))) b)
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) b))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b))))))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b))))) (neg.f64 b))
(pow.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)))) #s(literal -1 binary64))
(pow.f64 (neg.f64 (*.f64 b (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b))) (/.f64 #s(literal 1 binary64) b)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)))) (*.f64 b (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b))))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b))))))
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)))))
(*.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)))) (/.f64 #s(literal 1 binary64) b))
(*.f64 (pow.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)) (*.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)))))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)) (-.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)) #s(literal 1 binary64)))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b))))) (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (/.f64 #s(literal 2 binary64) b)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b))))) (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (/.f64 #s(literal 2 binary64) b)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)) (*.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)))))) (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)) (-.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)) #s(literal 1 binary64)))))))
(+.f64 b (*.f64 b (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b))))
(+.f64 (*.f64 b (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b))) b)
(exp.f64 (neg.f64 (*.f64 (log.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b))))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)))) #s(literal -1 binary64)))
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(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))) (+.f64 #s(literal -1/110592 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/110592000 binary64)))))) (neg.f64 (+.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 a (*.f64 a #s(literal 1/480 binary64))) (-.f64 (*.f64 a (*.f64 a #s(literal 1/480 binary64))) #s(literal -1/48 binary64))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))) (-.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/230400 binary64))))) (neg.f64 (+.f64 #s(literal -1/48 binary64) (*.f64 #s(literal -1/480 binary64) (*.f64 a a)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))) (*.f64 a #s(literal -1/48 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))) (*.f64 (*.f64 a a) (*.f64 a #s(literal 1/480 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))) (*.f64 a #s(literal -1/48 binary64))) (*.f64 (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))) (*.f64 a #s(literal -1/48 binary64)))) (-.f64 (*.f64 (*.f64 (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))) (*.f64 (*.f64 a a) (*.f64 a #s(literal 1/480 binary64)))) (*.f64 (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))) (*.f64 (*.f64 a a) (*.f64 a #s(literal 1/480 binary64))))) (*.f64 (*.f64 (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))) (*.f64 a #s(literal -1/48 binary64))) (*.f64 (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))) (*.f64 (*.f64 a a) (*.f64 a #s(literal 1/480 binary64))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))) #s(literal -1/48 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))) #s(literal -1/48 binary64)) (*.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))) #s(literal -1/48 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))) (*.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))) (*.f64 (*.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))) #s(literal -1/48 binary64)) (*.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))) #s(literal -1/48 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))) (*.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))) #s(literal -1/48 binary64)) (*.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))) #s(literal -1/48 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))) (*.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))) #s(literal -1/48 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 a #s(literal -1/48 binary64)) (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a #s(literal 1/480 binary64))) (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 a #s(literal -1/48 binary64)) (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))))) (*.f64 (*.f64 a #s(literal -1/48 binary64)) (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))))) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a #s(literal 1/480 binary64))) (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))))) (*.f64 (*.f64 (*.f64 a a) (*.f64 a #s(literal 1/480 binary64))) (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))))) (*.f64 (*.f64 (*.f64 a #s(literal -1/48 binary64)) (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))))) (*.f64 (*.f64 (*.f64 a a) (*.f64 a #s(literal 1/480 binary64))) (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 a (*.f64 a #s(literal 1/480 binary64))) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))))) (*.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))))) (-.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a #s(literal 1/480 binary64))) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))))) (*.f64 (*.f64 a (*.f64 a #s(literal 1/480 binary64))) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))))) (*.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))))) (*.f64 (*.f64 a (*.f64 a #s(literal 1/480 binary64))) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 a (*.f64 a #s(literal 1/480 binary64))) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a #s(literal 1/480 binary64))) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))))) (*.f64 (*.f64 a (*.f64 a #s(literal 1/480 binary64))) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))))) (-.f64 (*.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))))) (*.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))))) (*.f64 (*.f64 (*.f64 a (*.f64 a #s(literal 1/480 binary64))) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))))) (*.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))))))))
(pow.f64 (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))))) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))))) #s(literal 2 binary64))
(*.f64 a (*.f64 (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))) (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))))))
(*.f64 a (*.f64 a (*.f64 (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))))))
(*.f64 (*.f64 a a) (*.f64 (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))))
(*.f64 (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))))
(*.f64 (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))) (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))))
(*.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))))
(*.f64 (*.f64 (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))) (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))))) a)
(*.f64 (*.f64 (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))) (*.f64 a a))
(*.f64 (exp.f64 (log.f64 (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))))) (exp.f64 (log.f64 (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))))))

simplify246.0ms (2.9%)

Algorithm
egg-herbie
Rules
3688×*-lowering-*.f32
3688×*-lowering-*.f64
1826×+-lowering-+.f64
1826×+-lowering-+.f32
1798×sum3-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02311526
16641450
218581397
362171396
081571396
Stop Event
iter limit
node limit
Counts
180 → 180
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)
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)))))
(/ 2 b)
(/ (+ 2 b) b)
(/ (+ 2 (* b (+ 1 (* 1/2 b)))) b)
(/ (+ 2 (* b (+ 1 (* 1/2 b)))) b)
(* 1/2 b)
(* b (+ 1/2 (/ 1 b)))
(* b (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(* b (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(* 1/2 b)
(* b (+ 1/2 (/ 1 b)))
(* -1 (* b (- (* -1 (/ (+ 1 (* 2 (/ 1 b))) b)) 1/2)))
(* -1 (* b (- (* -1 (/ (+ 1 (* 2 (/ 1 b))) b)) 1/2)))
(/ 2 b)
(/ (+ 2 (* 1/2 (pow b 2))) b)
(/ (+ 2 (* 1/2 (pow b 2))) b)
(/ (+ 2 (* 1/2 (pow b 2))) b)
(* 1/2 b)
(* b (+ 1/2 (* 2 (/ 1 (pow b 2)))))
(* b (+ 1/2 (* 2 (/ 1 (pow b 2)))))
(* b (+ 1/2 (* 2 (/ 1 (pow b 2)))))
(* 1/2 b)
(* b (+ 1/2 (* 2 (/ 1 (pow b 2)))))
(* b (+ 1/2 (* 2 (/ 1 (pow b 2)))))
(* b (+ 1/2 (* 2 (/ 1 (pow b 2)))))
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)))))
(* 1/480 (pow a 5))
(* (pow a 5) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))
(* (pow a 5) (- (+ 1/480 (/ 1/4 (pow a 4))) (* 1/48 (/ 1 (pow a 2)))))
(* (pow a 5) (- (+ 1/480 (+ (/ 1/4 (pow a 4)) (* 1/2 (/ 1 (pow a 5))))) (* 1/48 (/ 1 (pow a 2)))))
(* 1/480 (pow a 5))
(* -1 (* (pow a 5) (- (* 1/48 (/ 1 (pow a 2))) 1/480)))
(* -1 (* (pow a 5) (- (* 1/48 (/ 1 (pow a 2))) (+ 1/480 (/ 1/4 (pow a 4))))))
(* -1 (* (pow a 5) (- (+ (* -1 (/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 4))) (* 1/48 (/ 1 (pow a 2)))) 1/480)))
(* 1/4 a)
(* a (+ 1/4 (* -1/48 (pow a 2))))
(* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48))))
(* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48))))
(* 1/480 (pow a 5))
(* (pow a 5) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))
(* (pow a 5) (- (+ 1/480 (/ 1/4 (pow a 4))) (* 1/48 (/ 1 (pow a 2)))))
(* (pow a 5) (- (+ 1/480 (/ 1/4 (pow a 4))) (* 1/48 (/ 1 (pow a 2)))))
(* 1/480 (pow a 5))
(* -1 (* (pow a 5) (- (* 1/48 (/ 1 (pow a 2))) 1/480)))
(* -1 (* (pow a 5) (- (* 1/48 (/ 1 (pow a 2))) (+ 1/480 (/ 1/4 (pow a 4))))))
(* -1 (* (pow a 5) (- (* 1/48 (/ 1 (pow a 2))) (+ 1/480 (/ 1/4 (pow a 4))))))
(* 1/16 a)
(* a (+ 1/16 (* -1/2304 (pow a 4))))
(* a (+ 1/16 (* (pow a 4) (- (* 1/11520 (pow a 2)) 1/2304))))
(* a (+ 1/16 (* (pow a 4) (- (* (pow a 2) (+ 1/11520 (* -1/230400 (pow a 2)))) 1/2304))))
(* -1/230400 (pow a 9))
(* (pow a 9) (- (* 1/11520 (/ 1 (pow a 2))) 1/230400))
(* (pow a 9) (- (* 1/11520 (/ 1 (pow a 2))) (+ 1/230400 (/ 1/2304 (pow a 4)))))
(* (pow a 9) (- (+ (* 1/11520 (/ 1 (pow a 2))) (* 1/16 (/ 1 (pow a 8)))) (+ 1/230400 (/ 1/2304 (pow a 4)))))
(* -1/230400 (pow a 9))
(* -1 (* (pow a 9) (- 1/230400 (* 1/11520 (/ 1 (pow a 2))))))
(* -1 (* (pow a 9) (- (+ 1/230400 (/ 1/2304 (pow a 4))) (* 1/11520 (/ 1 (pow a 2))))))
(* -1 (* (pow a 9) (- (+ 1/230400 (/ 1/2304 (pow a 4))) (+ (* 1/11520 (/ 1 (pow a 2))) (* 1/16 (/ 1 (pow a 8)))))))
1/16
(+ 1/16 (* -1/2304 (pow a 4)))
(+ 1/16 (* (pow a 4) (- (* 1/11520 (pow a 2)) 1/2304)))
(+ 1/16 (* (pow a 4) (- (* (pow a 2) (+ 1/11520 (* -1/230400 (pow a 2)))) 1/2304)))
(* -1/230400 (pow a 8))
(* (pow a 8) (- (* 1/11520 (/ 1 (pow a 2))) 1/230400))
(* (pow a 8) (- (* 1/11520 (/ 1 (pow a 2))) (+ 1/230400 (/ 1/2304 (pow a 4)))))
(* (pow a 8) (- (+ (* 1/11520 (/ 1 (pow a 2))) (* 1/16 (/ 1 (pow a 8)))) (+ 1/230400 (/ 1/2304 (pow a 4)))))
(* -1/230400 (pow a 8))
(* (pow a 8) (- (* 1/11520 (/ 1 (pow a 2))) 1/230400))
(* (pow a 8) (- (* 1/11520 (/ 1 (pow a 2))) (+ 1/230400 (/ 1/2304 (pow a 4)))))
(* (pow a 8) (- (+ (* 1/11520 (/ 1 (pow a 2))) (* 1/16 (/ 1 (pow a 8)))) (+ 1/230400 (/ 1/2304 (pow a 4)))))
(* 1/480 (pow a 2))
(* 1/480 (pow a 2))
(* 1/480 (pow a 2))
(* 1/480 (pow a 2))
(* 1/480 (pow a 2))
(* 1/480 (pow a 2))
(* 1/480 (pow a 2))
(* 1/480 (pow a 2))
(* 1/480 (pow a 2))
(* 1/480 (pow a 2))
(* 1/480 (pow a 2))
(* 1/480 (pow a 2))
(* -1/48 a)
(* a (- (* 1/480 (pow a 2)) 1/48))
(* a (- (* 1/480 (pow a 2)) 1/48))
(* a (- (* 1/480 (pow a 2)) 1/48))
(* 1/480 (pow a 3))
(* (pow a 3) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))
(* (pow a 3) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))
(* (pow a 3) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))
(* 1/480 (pow a 3))
(* -1 (* (pow a 3) (- (* 1/48 (/ 1 (pow a 2))) 1/480)))
(* -1 (* (pow a 3) (- (* 1/48 (/ 1 (pow a 2))) 1/480)))
(* -1 (* (pow a 3) (- (* 1/48 (/ 1 (pow a 2))) 1/480)))
(* 1/2304 (pow a 2))
(* (pow a 2) (+ 1/2304 (* -1/11520 (pow a 2))))
(* (pow a 2) (+ 1/2304 (* (pow a 2) (- (* 1/230400 (pow a 2)) 1/11520))))
(* (pow a 2) (+ 1/2304 (* (pow a 2) (- (* 1/230400 (pow a 2)) 1/11520))))
(* 1/230400 (pow a 6))
(* (pow a 6) (- 1/230400 (* 1/11520 (/ 1 (pow a 2)))))
(* (pow a 6) (- (+ 1/230400 (/ 1/2304 (pow a 4))) (* 1/11520 (/ 1 (pow a 2)))))
(* (pow a 6) (- (+ 1/230400 (/ 1/2304 (pow a 4))) (* 1/11520 (/ 1 (pow a 2)))))
(* 1/230400 (pow a 6))
(* (pow a 6) (- 1/230400 (* 1/11520 (/ 1 (pow a 2)))))
(* (pow a 6) (- (+ 1/230400 (/ 1/2304 (pow a 4))) (* 1/11520 (/ 1 (pow a 2)))))
(* (pow a 6) (- (+ 1/230400 (/ 1/2304 (pow a 4))) (* 1/11520 (/ 1 (pow a 2)))))
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)
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 (- (* 1/16 (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 1/16 binary64)))))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/16 (* -1/32 b))) 1/4)))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/16 binary64) (*.f64 b #s(literal -1/32 binary64)))))))
(/ 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 (/ 16 (pow b 3))) (* 4 (/ 1 b))) (pow b 2))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16 binary64) (*.f64 b b)) #s(literal -4 binary64)) b)) (*.f64 b b))
(/ (- (+ 2 (/ 16 (pow b 3))) (+ (* 4 (/ 1 b)) (* 32 (/ 1 (pow b 4))))) (pow b 2))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 16 binary64) (*.f64 b b)) #s(literal -4 binary64)) b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -32 binary64) (pow.f64 b #s(literal 4 binary64))))) (*.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 (* -1 (/ (- 4 (* 16 (/ 1 (pow b 2)))) b))) (pow b 2))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16 binary64) (*.f64 b b)) #s(literal -4 binary64)) b)) (*.f64 b b))
(/ (+ 2 (* -1 (/ (- (+ 4 (/ 32 (pow b 3))) (* 16 (/ 1 (pow b 2)))) b))) (pow b 2))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -16 binary64) (*.f64 b b))) (/.f64 #s(literal 32 binary64) (*.f64 b (*.f64 b b)))) 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 (* 1/2 b))))
(+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))
(* 1/2 (pow b 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 b b))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) b))))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) b))))
(* 1/2 (pow b 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 b b))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) b))))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) b))))
(/ 2 b)
(/.f64 #s(literal 2 binary64) b)
(/ (+ 2 b) b)
(/.f64 (+.f64 #s(literal 2 binary64) b) b)
(/ (+ 2 (* b (+ 1 (* 1/2 b)))) b)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))) b)
(/ (+ 2 (* b (+ 1 (* 1/2 b)))) b)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))) b)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* b (+ 1/2 (/ 1 b)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))
(* b (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) b)))
(* b (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) b)))
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* b (+ 1/2 (/ 1 b)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))
(* -1 (* b (- (* -1 (/ (+ 1 (* 2 (/ 1 b))) b)) 1/2)))
(*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) b)) b)) (-.f64 #s(literal 0 binary64) b))
(* -1 (* b (- (* -1 (/ (+ 1 (* 2 (/ 1 b))) b)) 1/2)))
(*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) b)) b)) (-.f64 #s(literal 0 binary64) b))
(/ 2 b)
(/.f64 #s(literal 2 binary64) b)
(/ (+ 2 (* 1/2 (pow b 2))) b)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 b b))) b)
(/ (+ 2 (* 1/2 (pow b 2))) b)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 b b))) b)
(/ (+ 2 (* 1/2 (pow b 2))) b)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 b b))) b)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* b (+ 1/2 (* 2 (/ 1 (pow b 2)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal 2 binary64) b))
(* b (+ 1/2 (* 2 (/ 1 (pow b 2)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal 2 binary64) b))
(* b (+ 1/2 (* 2 (/ 1 (pow b 2)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal 2 binary64) b))
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* b (+ 1/2 (* 2 (/ 1 (pow b 2)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal 2 binary64) b))
(* b (+ 1/2 (* 2 (/ 1 (pow b 2)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal 2 binary64) b))
(* b (+ 1/2 (* 2 (/ 1 (pow b 2)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal 2 binary64) b))
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 (* 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 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))))))
(* 1/480 (pow a 5))
(*.f64 #s(literal 1/480 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 a a)))))
(* (pow a 5) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a (*.f64 a a)))) (+.f64 #s(literal 1/480 binary64) (/.f64 #s(literal -1/48 binary64) (*.f64 a a))))
(* (pow a 5) (- (+ 1/480 (/ 1/4 (pow a 4))) (* 1/48 (/ 1 (pow a 2)))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a (*.f64 a a)))) (+.f64 #s(literal 1/480 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
(* (pow a 5) (- (+ 1/480 (+ (/ 1/4 (pow a 4)) (* 1/2 (/ 1 (pow a 5))))) (* 1/48 (/ 1 (pow a 2)))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a (*.f64 a a)))) (+.f64 (+.f64 #s(literal 1/480 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 #s(literal -1/48 binary64) (*.f64 a a)))) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 a a)))))))
(* 1/480 (pow a 5))
(*.f64 #s(literal 1/480 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 a a)))))
(* -1 (* (pow a 5) (- (* 1/48 (/ 1 (pow a 2))) 1/480)))
(*.f64 (*.f64 a (*.f64 a (*.f64 a (*.f64 a a)))) (+.f64 #s(literal 1/480 binary64) (/.f64 #s(literal -1/48 binary64) (*.f64 a a))))
(* -1 (* (pow a 5) (- (* 1/48 (/ 1 (pow a 2))) (+ 1/480 (/ 1/4 (pow a 4))))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a (*.f64 a a)))) (+.f64 #s(literal 1/480 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
(* -1 (* (pow a 5) (- (+ (* -1 (/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 4))) (* 1/48 (/ 1 (pow a 2)))) 1/480)))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a (*.f64 a a)))) (+.f64 (+.f64 (/.f64 #s(literal 1/48 binary64) (*.f64 a a)) #s(literal -1/480 binary64)) (/.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/2 binary64) a)) (*.f64 a (*.f64 a (*.f64 a a)))))))
(* 1/4 a)
(*.f64 a #s(literal 1/4 binary64))
(* a (+ 1/4 (* -1/48 (pow a 2))))
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a))))
(* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48))))
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64))))))
(* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48))))
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64))))))
(* 1/480 (pow a 5))
(*.f64 #s(literal 1/480 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 a a)))))
(* (pow a 5) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a (*.f64 a a)))) (+.f64 #s(literal 1/480 binary64) (/.f64 #s(literal -1/48 binary64) (*.f64 a a))))
(* (pow a 5) (- (+ 1/480 (/ 1/4 (pow a 4))) (* 1/48 (/ 1 (pow a 2)))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a (*.f64 a a)))) (+.f64 #s(literal 1/480 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
(* (pow a 5) (- (+ 1/480 (/ 1/4 (pow a 4))) (* 1/48 (/ 1 (pow a 2)))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a (*.f64 a a)))) (+.f64 #s(literal 1/480 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
(* 1/480 (pow a 5))
(*.f64 #s(literal 1/480 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 a a)))))
(* -1 (* (pow a 5) (- (* 1/48 (/ 1 (pow a 2))) 1/480)))
(*.f64 (*.f64 a (*.f64 a (*.f64 a (*.f64 a a)))) (+.f64 #s(literal 1/480 binary64) (/.f64 #s(literal -1/48 binary64) (*.f64 a a))))
(* -1 (* (pow a 5) (- (* 1/48 (/ 1 (pow a 2))) (+ 1/480 (/ 1/4 (pow a 4))))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a (*.f64 a a)))) (+.f64 #s(literal 1/480 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
(* -1 (* (pow a 5) (- (* 1/48 (/ 1 (pow a 2))) (+ 1/480 (/ 1/4 (pow a 4))))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a (*.f64 a a)))) (+.f64 #s(literal 1/480 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
(* 1/16 a)
(*.f64 a #s(literal 1/16 binary64))
(* a (+ 1/16 (* -1/2304 (pow a 4))))
(*.f64 a (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) #s(literal -1/2304 binary64))))
(* a (+ 1/16 (* (pow a 4) (- (* 1/11520 (pow a 2)) 1/2304))))
(*.f64 a (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal -1/2304 binary64) (*.f64 (*.f64 a a) #s(literal 1/11520 binary64))))))
(* a (+ 1/16 (* (pow a 4) (- (* (pow a 2) (+ 1/11520 (* -1/230400 (pow a 2)))) 1/2304))))
(*.f64 a (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal -1/2304 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/11520 binary64) (*.f64 (*.f64 a a) #s(literal -1/230400 binary64))))))))
(* -1/230400 (pow a 9))
(*.f64 #s(literal -1/230400 binary64) (pow.f64 a #s(literal 9 binary64)))
(* (pow a 9) (- (* 1/11520 (/ 1 (pow a 2))) 1/230400))
(*.f64 (pow.f64 a #s(literal 9 binary64)) (+.f64 #s(literal -1/230400 binary64) (/.f64 #s(literal 1/11520 binary64) (*.f64 a a))))
(* (pow a 9) (- (* 1/11520 (/ 1 (pow a 2))) (+ 1/230400 (/ 1/2304 (pow a 4)))))
(*.f64 (pow.f64 a #s(literal 9 binary64)) (+.f64 (/.f64 #s(literal 1/11520 binary64) (*.f64 a a)) (+.f64 #s(literal -1/230400 binary64) (/.f64 #s(literal -1/2304 binary64) (*.f64 a (*.f64 a (*.f64 a a)))))))
(* (pow a 9) (- (+ (* 1/11520 (/ 1 (pow a 2))) (* 1/16 (/ 1 (pow a 8)))) (+ 1/230400 (/ 1/2304 (pow a 4)))))
(*.f64 (pow.f64 a #s(literal 9 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/11520 binary64) (*.f64 a a)) (/.f64 #s(literal 1/16 binary64) (pow.f64 a #s(literal 8 binary64)))) (+.f64 #s(literal -1/230400 binary64) (/.f64 #s(literal -1/2304 binary64) (*.f64 a (*.f64 a (*.f64 a a)))))))
(* -1/230400 (pow a 9))
(*.f64 #s(literal -1/230400 binary64) (pow.f64 a #s(literal 9 binary64)))
(* -1 (* (pow a 9) (- 1/230400 (* 1/11520 (/ 1 (pow a 2))))))
(*.f64 (pow.f64 a #s(literal 9 binary64)) (+.f64 #s(literal -1/230400 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/11520 binary64) (*.f64 a a)))))
(* -1 (* (pow a 9) (- (+ 1/230400 (/ 1/2304 (pow a 4))) (* 1/11520 (/ 1 (pow a 2))))))
(*.f64 (pow.f64 a #s(literal 9 binary64)) (+.f64 (/.f64 #s(literal 1/11520 binary64) (*.f64 a a)) (+.f64 #s(literal -1/230400 binary64) (/.f64 #s(literal -1/2304 binary64) (*.f64 a (*.f64 a (*.f64 a a)))))))
(* -1 (* (pow a 9) (- (+ 1/230400 (/ 1/2304 (pow a 4))) (+ (* 1/11520 (/ 1 (pow a 2))) (* 1/16 (/ 1 (pow a 8)))))))
(*.f64 (pow.f64 a #s(literal 9 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/11520 binary64) (*.f64 a a)) (/.f64 #s(literal 1/16 binary64) (pow.f64 a #s(literal 8 binary64)))) (+.f64 #s(literal -1/230400 binary64) (/.f64 #s(literal -1/2304 binary64) (*.f64 a (*.f64 a (*.f64 a a)))))))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* -1/2304 (pow a 4)))
(+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) #s(literal -1/2304 binary64)))
(+ 1/16 (* (pow a 4) (- (* 1/11520 (pow a 2)) 1/2304)))
(+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal -1/2304 binary64) (*.f64 (*.f64 a a) #s(literal 1/11520 binary64)))))
(+ 1/16 (* (pow a 4) (- (* (pow a 2) (+ 1/11520 (* -1/230400 (pow a 2)))) 1/2304)))
(+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal -1/2304 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/11520 binary64) (*.f64 (*.f64 a a) #s(literal -1/230400 binary64)))))))
(* -1/230400 (pow a 8))
(*.f64 #s(literal -1/230400 binary64) (pow.f64 a #s(literal 8 binary64)))
(* (pow a 8) (- (* 1/11520 (/ 1 (pow a 2))) 1/230400))
(*.f64 (+.f64 #s(literal -1/230400 binary64) (/.f64 #s(literal 1/11520 binary64) (*.f64 a a))) (pow.f64 a #s(literal 8 binary64)))
(* (pow a 8) (- (* 1/11520 (/ 1 (pow a 2))) (+ 1/230400 (/ 1/2304 (pow a 4)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/11520 binary64) (*.f64 a a)) (+.f64 #s(literal -1/230400 binary64) (/.f64 #s(literal -1/2304 binary64) (*.f64 a (*.f64 a (*.f64 a a)))))) (pow.f64 a #s(literal 8 binary64)))
(* (pow a 8) (- (+ (* 1/11520 (/ 1 (pow a 2))) (* 1/16 (/ 1 (pow a 8)))) (+ 1/230400 (/ 1/2304 (pow a 4)))))
(*.f64 (pow.f64 a #s(literal 8 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/11520 binary64) (*.f64 a a)) (/.f64 #s(literal 1/16 binary64) (pow.f64 a #s(literal 8 binary64)))) (+.f64 #s(literal -1/230400 binary64) (/.f64 #s(literal -1/2304 binary64) (*.f64 a (*.f64 a (*.f64 a a)))))))
(* -1/230400 (pow a 8))
(*.f64 #s(literal -1/230400 binary64) (pow.f64 a #s(literal 8 binary64)))
(* (pow a 8) (- (* 1/11520 (/ 1 (pow a 2))) 1/230400))
(*.f64 (+.f64 #s(literal -1/230400 binary64) (/.f64 #s(literal 1/11520 binary64) (*.f64 a a))) (pow.f64 a #s(literal 8 binary64)))
(* (pow a 8) (- (* 1/11520 (/ 1 (pow a 2))) (+ 1/230400 (/ 1/2304 (pow a 4)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/11520 binary64) (*.f64 a a)) (+.f64 #s(literal -1/230400 binary64) (/.f64 #s(literal -1/2304 binary64) (*.f64 a (*.f64 a (*.f64 a a)))))) (pow.f64 a #s(literal 8 binary64)))
(* (pow a 8) (- (+ (* 1/11520 (/ 1 (pow a 2))) (* 1/16 (/ 1 (pow a 8)))) (+ 1/230400 (/ 1/2304 (pow a 4)))))
(*.f64 (pow.f64 a #s(literal 8 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/11520 binary64) (*.f64 a a)) (/.f64 #s(literal 1/16 binary64) (pow.f64 a #s(literal 8 binary64)))) (+.f64 #s(literal -1/230400 binary64) (/.f64 #s(literal -1/2304 binary64) (*.f64 a (*.f64 a (*.f64 a a)))))))
(* 1/480 (pow a 2))
(*.f64 (*.f64 a a) #s(literal 1/480 binary64))
(* 1/480 (pow a 2))
(*.f64 (*.f64 a a) #s(literal 1/480 binary64))
(* 1/480 (pow a 2))
(*.f64 (*.f64 a a) #s(literal 1/480 binary64))
(* 1/480 (pow a 2))
(*.f64 (*.f64 a a) #s(literal 1/480 binary64))
(* 1/480 (pow a 2))
(*.f64 (*.f64 a a) #s(literal 1/480 binary64))
(* 1/480 (pow a 2))
(*.f64 (*.f64 a a) #s(literal 1/480 binary64))
(* 1/480 (pow a 2))
(*.f64 (*.f64 a a) #s(literal 1/480 binary64))
(* 1/480 (pow a 2))
(*.f64 (*.f64 a a) #s(literal 1/480 binary64))
(* 1/480 (pow a 2))
(*.f64 (*.f64 a a) #s(literal 1/480 binary64))
(* 1/480 (pow a 2))
(*.f64 (*.f64 a a) #s(literal 1/480 binary64))
(* 1/480 (pow a 2))
(*.f64 (*.f64 a a) #s(literal 1/480 binary64))
(* 1/480 (pow a 2))
(*.f64 (*.f64 a a) #s(literal 1/480 binary64))
(* -1/48 a)
(*.f64 a #s(literal -1/48 binary64))
(* a (- (* 1/480 (pow a 2)) 1/48))
(*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64))))
(* a (- (* 1/480 (pow a 2)) 1/48))
(*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64))))
(* a (- (* 1/480 (pow a 2)) 1/48))
(*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64))))
(* 1/480 (pow a 3))
(*.f64 a (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))
(* (pow a 3) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))
(*.f64 (*.f64 a a) (*.f64 a (+.f64 #s(literal 1/480 binary64) (/.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
(* (pow a 3) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))
(*.f64 (*.f64 a a) (*.f64 a (+.f64 #s(literal 1/480 binary64) (/.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
(* (pow a 3) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))
(*.f64 (*.f64 a a) (*.f64 a (+.f64 #s(literal 1/480 binary64) (/.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
(* 1/480 (pow a 3))
(*.f64 a (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))
(* -1 (* (pow a 3) (- (* 1/48 (/ 1 (pow a 2))) 1/480)))
(*.f64 (*.f64 a a) (*.f64 a (+.f64 #s(literal 1/480 binary64) (/.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
(* -1 (* (pow a 3) (- (* 1/48 (/ 1 (pow a 2))) 1/480)))
(*.f64 (*.f64 a a) (*.f64 a (+.f64 #s(literal 1/480 binary64) (/.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
(* -1 (* (pow a 3) (- (* 1/48 (/ 1 (pow a 2))) 1/480)))
(*.f64 (*.f64 a a) (*.f64 a (+.f64 #s(literal 1/480 binary64) (/.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
(* 1/2304 (pow a 2))
(*.f64 (*.f64 a a) #s(literal 1/2304 binary64))
(* (pow a 2) (+ 1/2304 (* -1/11520 (pow a 2))))
(*.f64 (*.f64 a a) (+.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 a a) #s(literal -1/11520 binary64))))
(* (pow a 2) (+ 1/2304 (* (pow a 2) (- (* 1/230400 (pow a 2)) 1/11520))))
(*.f64 (*.f64 a a) (+.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/11520 binary64) (*.f64 a (*.f64 a #s(literal 1/230400 binary64)))))))
(* (pow a 2) (+ 1/2304 (* (pow a 2) (- (* 1/230400 (pow a 2)) 1/11520))))
(*.f64 (*.f64 a a) (+.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/11520 binary64) (*.f64 a (*.f64 a #s(literal 1/230400 binary64)))))))
(* 1/230400 (pow a 6))
(*.f64 #s(literal 1/230400 binary64) (pow.f64 a #s(literal 6 binary64)))
(* (pow a 6) (- 1/230400 (* 1/11520 (/ 1 (pow a 2)))))
(*.f64 (+.f64 #s(literal 1/230400 binary64) (/.f64 #s(literal -1/11520 binary64) (*.f64 a a))) (pow.f64 a #s(literal 6 binary64)))
(* (pow a 6) (- (+ 1/230400 (/ 1/2304 (pow a 4))) (* 1/11520 (/ 1 (pow a 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/2304 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (+.f64 #s(literal 1/230400 binary64) (/.f64 #s(literal -1/11520 binary64) (*.f64 a a)))) (pow.f64 a #s(literal 6 binary64)))
(* (pow a 6) (- (+ 1/230400 (/ 1/2304 (pow a 4))) (* 1/11520 (/ 1 (pow a 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/2304 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (+.f64 #s(literal 1/230400 binary64) (/.f64 #s(literal -1/11520 binary64) (*.f64 a a)))) (pow.f64 a #s(literal 6 binary64)))
(* 1/230400 (pow a 6))
(*.f64 #s(literal 1/230400 binary64) (pow.f64 a #s(literal 6 binary64)))
(* (pow a 6) (- 1/230400 (* 1/11520 (/ 1 (pow a 2)))))
(*.f64 (+.f64 #s(literal 1/230400 binary64) (/.f64 #s(literal -1/11520 binary64) (*.f64 a a))) (pow.f64 a #s(literal 6 binary64)))
(* (pow a 6) (- (+ 1/230400 (/ 1/2304 (pow a 4))) (* 1/11520 (/ 1 (pow a 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/2304 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (+.f64 #s(literal 1/230400 binary64) (/.f64 #s(literal -1/11520 binary64) (*.f64 a a)))) (pow.f64 a #s(literal 6 binary64)))
(* (pow a 6) (- (+ 1/230400 (/ 1/2304 (pow a 4))) (* 1/11520 (/ 1 (pow a 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/2304 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (+.f64 #s(literal 1/230400 binary64) (/.f64 #s(literal -1/11520 binary64) (*.f64 a a)))) (pow.f64 a #s(literal 6 binary64)))

eval103.0ms (1.2%)

Compiler

Compiled 28913 to 2514 computations (91.3% saved)

prune128.0ms (1.5%)

Pruning

30 alts after pruning (21 fresh and 9 done)

PrunedKeptTotal
New73413747
Fresh088
Picked145
Done055
Total73530765
Accuracy
100.0%
Counts
765 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
20.0%
(/.f64 (/.f64 #s(literal 2 binary64) b) b)
54.7%
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)))) b)
68.3%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
67.2%
(/.f64 (exp.f64 a) #s(literal 2 binary64))
20.4%
(/.f64 #s(literal 2 binary64) (*.f64 b b))
38.2%
(/.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))))))
23.9%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)) (*.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b))))) b) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)) (-.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)) #s(literal 1 binary64))))))
20.4%
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 #s(literal 2 binary64) b)))
38.6%
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
43.5%
(/.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))))))
59.3%
(/.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))))))))
80.8%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
33.7%
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 b b) (*.f64 b b)))) b) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b)))))))
25.6%
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))))) b) (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 #s(literal 2 binary64) b)) #s(literal 1 binary64)) (*.f64 b b)))))))
46.7%
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b))))))
46.7%
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b)))))))
46.6%
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 #s(literal 1 binary64) b)))))))
20.0%
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))
3.5%
(/.f64 #s(literal 1 binary64) b)
40.5%
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))) (*.f64 a #s(literal -1/48 binary64))))) 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))))))))
40.6%
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 1/2304 binary64)))) 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))))))))
40.8%
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))))))
40.7%
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) #s(literal -1/48 binary64)))))
40.8%
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
20.0%
(*.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 #s(literal 1 binary64) b))
37.5%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b))))) (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (/.f64 #s(literal 2 binary64) b)))))
17.7%
(*.f64 #s(literal 1/480 binary64) (pow.f64 a #s(literal 5 binary64)))
17.7%
(*.f64 #s(literal 1/480 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 a a)))))
24.1%
#s(literal 1 binary64)
40.4%
#s(literal 1/2 binary64)
Compiler

Compiled 1149 to 499 computations (56.6% saved)

regimes56.0ms (0.7%)

Counts
38 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) b)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #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 (/.f64 #s(literal 2 binary64) b) (/.f64 #s(literal 1 binary64) b))
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 #s(literal 2 binary64) b)))
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))
(*.f64 #s(literal 1/480 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 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)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) #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 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)))) b)
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b)))))))
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b))))))
(/.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 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))))))
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 #s(literal 1 binary64) b)))))))
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 b b) (*.f64 b b)))) b) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b)))))))
(/.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 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 1/2304 binary64)))) 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))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b))))) (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (/.f64 #s(literal 2 binary64) b)))))
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))) (*.f64 a #s(literal -1/48 binary64))))) 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))))))))
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))))) b) (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 #s(literal 2 binary64) b)) #s(literal 1 binary64)) (*.f64 b b)))))))
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))) (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64))))))) 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))))))))
(/.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 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)) (*.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b))))) b) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)) (-.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)) #s(literal 1 binary64))))))
(/.f64 (exp.f64 a) #s(literal 2 binary64))
(*.f64 #s(literal 1/480 binary64) (pow.f64 a #s(literal 5 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 #s(literal 1/2 binary64) a)))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/.f64 (exp.f64 a) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 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))))))
Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Calls

5 calls:

15.0ms
a
10.0ms
b
10.0ms
(exp.f64 b)
9.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
8.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
99.6%1a
99.6%1b
99.6%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
99.6%1(exp.f64 a)
99.6%1(exp.f64 b)
Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes42.0ms (0.5%)

Counts
36 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) b)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #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 (/.f64 #s(literal 2 binary64) b) (/.f64 #s(literal 1 binary64) b))
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 #s(literal 2 binary64) b)))
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))
(*.f64 #s(literal 1/480 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 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)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) #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 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)))) b)
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b)))))))
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b))))))
(/.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 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))))))
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 #s(literal 1 binary64) b)))))))
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 b b) (*.f64 b b)))) b) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b)))))))
(/.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 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 1/2304 binary64)))) 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))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b))))) (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (/.f64 #s(literal 2 binary64) b)))))
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))) (*.f64 a #s(literal -1/48 binary64))))) 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))))))))
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))))) b) (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 #s(literal 2 binary64) b)) #s(literal 1 binary64)) (*.f64 b b)))))))
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))) (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64))))))) 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))))))))
(/.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 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)) (*.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b))))) b) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)) (-.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)) #s(literal 1 binary64))))))
(/.f64 (exp.f64 a) #s(literal 2 binary64))
(*.f64 #s(literal 1/480 binary64) (pow.f64 a #s(literal 5 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 #s(literal 1/2 binary64) a)))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/.f64 (exp.f64 a) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))))
Outputs
(/.f64 (exp.f64 a) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))))
Calls

4 calls:

11.0ms
b
10.0ms
a
9.0ms
(exp.f64 b)
8.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
99.1%1a
99.1%1b
99.1%1(exp.f64 a)
99.1%1(exp.f64 b)
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes41.0ms (0.5%)

Counts
35 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) b)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #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 (/.f64 #s(literal 2 binary64) b) (/.f64 #s(literal 1 binary64) b))
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 #s(literal 2 binary64) b)))
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))
(*.f64 #s(literal 1/480 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 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)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) #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 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)))) b)
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b)))))))
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b))))))
(/.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 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))))))
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 #s(literal 1 binary64) b)))))))
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 b b) (*.f64 b b)))) b) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b)))))))
(/.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 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 1/2304 binary64)))) 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))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b))))) (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (/.f64 #s(literal 2 binary64) b)))))
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))) (*.f64 a #s(literal -1/48 binary64))))) 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))))))))
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))))) b) (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 #s(literal 2 binary64) b)) #s(literal 1 binary64)) (*.f64 b b)))))))
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))) (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64))))))) 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))))))))
(/.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 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)) (*.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b))))) b) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)) (-.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)) #s(literal 1 binary64))))))
(/.f64 (exp.f64 a) #s(literal 2 binary64))
(*.f64 #s(literal 1/480 binary64) (pow.f64 a #s(literal 5 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 #s(literal 1/2 binary64) a)))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 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 #s(literal 1/2 binary64) a)))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))))
Calls

4 calls:

11.0ms
a
10.0ms
b
9.0ms
(exp.f64 a)
8.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
99.7%2a
99.6%3b
99.7%2(exp.f64 a)
99.6%3(exp.f64 b)
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes22.0ms (0.3%)

Counts
34 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) b)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #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 (/.f64 #s(literal 2 binary64) b) (/.f64 #s(literal 1 binary64) b))
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 #s(literal 2 binary64) b)))
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))
(*.f64 #s(literal 1/480 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 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)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) #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 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)))) b)
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b)))))))
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b))))))
(/.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 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))))))
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 #s(literal 1 binary64) b)))))))
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 b b) (*.f64 b b)))) b) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b)))))))
(/.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 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 1/2304 binary64)))) 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))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b))))) (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (/.f64 #s(literal 2 binary64) b)))))
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))) (*.f64 a #s(literal -1/48 binary64))))) 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))))))))
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))))) b) (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 #s(literal 2 binary64) b)) #s(literal 1 binary64)) (*.f64 b b)))))))
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))) (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64))))))) 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))))))))
(/.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 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)) (*.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b))))) b) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)) (-.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)) #s(literal 1 binary64))))))
(/.f64 (exp.f64 a) #s(literal 2 binary64))
(*.f64 #s(literal 1/480 binary64) (pow.f64 a #s(literal 5 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 #s(literal 1/2 binary64) a)))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))))
Outputs
(/.f64 (exp.f64 a) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a)))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))))
Calls

2 calls:

10.0ms
a
8.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
99.4%2a
99.4%2(exp.f64 a)
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes40.0ms (0.5%)

Counts
33 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) b)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #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 (/.f64 #s(literal 2 binary64) b) (/.f64 #s(literal 1 binary64) b))
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 #s(literal 2 binary64) b)))
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))
(*.f64 #s(literal 1/480 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 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)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) #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 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)))) b)
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b)))))))
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b))))))
(/.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 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))))))
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 #s(literal 1 binary64) b)))))))
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 b b) (*.f64 b b)))) b) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b)))))))
(/.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 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 1/2304 binary64)))) 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))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b))))) (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (/.f64 #s(literal 2 binary64) b)))))
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))) (*.f64 a #s(literal -1/48 binary64))))) 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))))))))
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))))) b) (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 #s(literal 2 binary64) b)) #s(literal 1 binary64)) (*.f64 b b)))))))
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))) (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64))))))) 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))))))))
(/.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 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)) (*.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b))))) b) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)) (-.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)) #s(literal 1 binary64))))))
(/.f64 (exp.f64 a) #s(literal 2 binary64))
(*.f64 #s(literal 1/480 binary64) (pow.f64 a #s(literal 5 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

2 calls:

28.0ms
a
8.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
98.6%2a
98.6%2(exp.f64 a)
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes31.0ms (0.4%)

Counts
32 → 3
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) b)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #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 (/.f64 #s(literal 2 binary64) b) (/.f64 #s(literal 1 binary64) b))
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 #s(literal 2 binary64) b)))
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))
(*.f64 #s(literal 1/480 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 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)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) #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 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)))) b)
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b)))))))
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b))))))
(/.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 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))))))
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 #s(literal 1 binary64) b)))))))
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 b b) (*.f64 b b)))) b) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b)))))))
(/.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 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 1/2304 binary64)))) 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))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b))))) (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (/.f64 #s(literal 2 binary64) b)))))
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))) (*.f64 a #s(literal -1/48 binary64))))) 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))))))))
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))))) b) (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 #s(literal 2 binary64) b)) #s(literal 1 binary64)) (*.f64 b b)))))))
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))) (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64))))))) 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))))))))
(/.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 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)) (*.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b))))) b) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)) (-.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)) #s(literal 1 binary64))))))
(/.f64 (exp.f64 a) #s(literal 2 binary64))
(*.f64 #s(literal 1/480 binary64) (pow.f64 a #s(literal 5 binary64)))
Outputs
#s(literal 1 binary64)
(/.f64 (exp.f64 a) #s(literal 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))))))))
Calls

3 calls:

10.0ms
a
9.0ms
b
7.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
94.4%3b
79.7%2a
79.7%2(exp.f64 a)
Compiler

Compiled 10 to 7 computations (30% saved)

regimes20.0ms (0.2%)

Counts
30 → 4
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) b)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #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 (/.f64 #s(literal 2 binary64) b) (/.f64 #s(literal 1 binary64) b))
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 #s(literal 2 binary64) b)))
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))
(*.f64 #s(literal 1/480 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 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)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) #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 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)))) b)
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b)))))))
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b))))))
(/.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 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))))))
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 #s(literal 1 binary64) b)))))))
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 b b) (*.f64 b b)))) b) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b)))))))
(/.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 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 1/2304 binary64)))) 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))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b))))) (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (/.f64 #s(literal 2 binary64) b)))))
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))) (*.f64 a #s(literal -1/48 binary64))))) 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))))))))
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))))) b) (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 #s(literal 2 binary64) b)) #s(literal 1 binary64)) (*.f64 b b)))))))
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))) (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64))))))) 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))))))))
(/.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 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)) (*.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b))))) b) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)) (-.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)) #s(literal 1 binary64))))))
Outputs
#s(literal 1 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))))))
(*.f64 #s(literal 1/480 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 a a)))))
(/.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

2 calls:

9.0ms
a
9.0ms
b
Results
AccuracySegmentsBranch
65.8%2a
78.3%4b
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts
19 → 4
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) b)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #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 (/.f64 #s(literal 2 binary64) b) (/.f64 #s(literal 1 binary64) b))
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 #s(literal 2 binary64) b)))
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))
(*.f64 #s(literal 1/480 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 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)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) #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 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)))) b)
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b)))))))
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b))))))
(/.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))))))))
Outputs
#s(literal 1 binary64)
(+.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 1/480 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 a a)))))
(/.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:

6.0ms
b
Results
AccuracySegmentsBranch
78.2%4b
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts
18 → 4
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) b)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #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 (/.f64 #s(literal 2 binary64) b) (/.f64 #s(literal 1 binary64) b))
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 #s(literal 2 binary64) b)))
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))
(*.f64 #s(literal 1/480 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 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)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) #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 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)))) b)
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b)))))))
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b))))))
Outputs
#s(literal 1 binary64)
(+.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 1/480 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 a a)))))
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))
Calls

1 calls:

6.0ms
b
Results
AccuracySegmentsBranch
75.5%4b
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts
12 → 4
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) b)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #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 (/.f64 #s(literal 2 binary64) b) (/.f64 #s(literal 1 binary64) b))
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 #s(literal 2 binary64) b)))
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))
(*.f64 #s(literal 1/480 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 a a)))))
Outputs
#s(literal 1 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
(*.f64 #s(literal 1/480 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 a a)))))
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))
Calls

1 calls:

4.0ms
b
Results
AccuracySegmentsBranch
75.5%4b
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts
11 → 3
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) b)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #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 (/.f64 #s(literal 2 binary64) b) (/.f64 #s(literal 1 binary64) b))
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 #s(literal 2 binary64) b)))
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))
Outputs
#s(literal 1 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))
Calls

1 calls:

4.0ms
b
Results
AccuracySegmentsBranch
70.2%3b
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes28.0ms (0.3%)

Counts
10 → 3
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) b)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #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 (/.f64 #s(literal 2 binary64) b) (/.f64 #s(literal 1 binary64) b))
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 #s(literal 2 binary64) 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:

27.0ms
b
Results
AccuracySegmentsBranch
70.2%3b
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts
6 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) b)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #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
40.8%1a
53.5%2b
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Counts
5 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) b)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #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:

2.0ms
b
Results
AccuracySegmentsBranch
53.1%2b
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes2.0ms (0%)

Counts
3 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) b)
Outputs
#s(literal 1 binary64)
#s(literal 1/2 binary64)
Calls

1 calls:

2.0ms
b
Results
AccuracySegmentsBranch
52.8%2b
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

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
40.4%1a
40.4%1b
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999999997681971
1.0
Compiler

Compiled 14 to 10 computations (28.6% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
1.0ms
0.0
0.5056691168514094
Compiler

Compiled 14 to 10 computations (28.6% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999997700716243
0.9999999997681971
Compiler

Compiled 14 to 10 computations (28.6% saved)

bsearch61.0ms (0.7%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
43.0ms
6.073085213217915e+97
2.1270980370911637e+104
16.0ms
-156574219.6207423
-8.051321005933692e-13
Results
17.0ms320×0valid
Compiler

Compiled 361 to 300 computations (16.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-exp: 5.0ms (56.1% of total)
ival-div: 2.0ms (22.4% of total)
ival-add: 2.0ms (22.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch50.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
3.5024643472039253e+86
6.073085213217915e+97
19.0ms
3.062406060911395e-19
2.9058568857903053e-15
11.0ms
-8.051321005933692e-13
-3.019859081913993e-16
Results
25.0ms416×0valid
Compiler

Compiled 799 to 568 computations (28.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-exp: 6.0ms (53% of total)
ival-div: 3.0ms (26.5% of total)
ival-add: 2.0ms (17.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch43.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
3.5024643472039253e+86
6.073085213217915e+97
15.0ms
3.062406060911395e-19
2.9058568857903053e-15
11.0ms
-8.051321005933692e-13
-3.019859081913993e-16
Results
26.0ms416×0valid
Compiler

Compiled 703 to 520 computations (26% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-exp: 10.0ms (65.9% of total)
ival-div: 3.0ms (19.8% of total)
ival-add: 2.0ms (13.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch44.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
1.5742477777123717e+144
1.3068366530747377e+150
11.0ms
3.062406060911395e-19
2.9058568857903053e-15
15.0ms
-8.051321005933692e-13
-3.019859081913993e-16
Results
25.0ms400×0valid
Compiler

Compiled 617 to 452 computations (26.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-div: 6.0ms (41.4% of total)
ival-exp: 6.0ms (41.4% of total)
ival-add: 2.0ms (13.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch46.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
1.5742477777123717e+144
1.3068366530747377e+150
16.0ms
2.9058568857903053e-15
19489752237886.293
13.0ms
-8.051321005933692e-13
-3.019859081913993e-16
Results
26.0ms448×0valid
Compiler

Compiled 587 to 436 computations (25.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-exp: 7.0ms (54.5% of total)
ival-div: 3.0ms (23.3% of total)
ival-add: 2.0ms (15.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch25.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
3.062406060911395e-19
2.9058568857903053e-15
12.0ms
-8.051321005933692e-13
-3.019859081913993e-16
Results
15.0ms256×0valid
Compiler

Compiled 271 to 226 computations (16.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-exp: 4.0ms (55.7% of total)
ival-div: 2.0ms (27.9% of total)
ival-add: 1.0ms (13.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch28.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
3.062406060911395e-19
2.9058568857903053e-15
15.0ms
-8.051321005933692e-13
-3.019859081913993e-16
Results
14.0ms256×0valid
Compiler

Compiled 239 to 202 computations (15.5% saved)

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

bsearch18.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
17.0ms
-156574219.6207423
-8.051321005933692e-13
Results
11.0ms176×0valid
Compiler

Compiled 147 to 131 computations (10.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-exp: 3.0ms (47.2% of total)
ival-div: 2.0ms (31.4% of total)
ival-add: 1.0ms (15.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch13.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
-8.051321005933692e-13
-3.019859081913993e-16
Results
8.0ms128×0valid
Compiler

Compiled 111 to 98 computations (11.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-exp: 3.0ms (65.4% of total)
ival-div: 1.0ms (21.8% of total)
ival-add: 1.0ms (21.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch17.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
15.0ms
-156574219.6207423
-8.051321005933692e-13
Results
10.0ms176×0valid
Compiler

Compiled 103 to 98 computations (4.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-exp: 3.0ms (57.5% of total)
ival-div: 1.0ms (19.2% of total)
ival-add: 1.0ms (19.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify13.0ms (0.2%)

Algorithm
egg-herbie
Rules
36×*-commutative_binary64
36×+-commutative_binary64
1-exp_binary64
1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0105388
1144388
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))))
(if (<=.f64 (exp.f64 a) #s(literal 1 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 #s(literal 1/2 binary64) a)))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 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 #s(literal 1/2 binary64) a)))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))))))
(if (<=.f64 (exp.f64 a) #s(literal 9007197453301141/9007199254740992 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 -15 binary64)) #s(literal 1 binary64) (if (<=.f64 b #s(literal 10000000000000000019156750857346687362159551272651920111528035145993793242039887559612361451081803235328 binary64)) (/.f64 (exp.f64 a) #s(literal 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))))))))))
(if (<=.f64 b #s(literal -3961408125713217/4951760157141521099596496896 binary64)) #s(literal 1 binary64) (if (<=.f64 b #s(literal 7352373481323731/2535301200456458802993406410752 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64))))))) (if (<=.f64 b #s(literal 59999999999999996826002070605920807106308299383694011723573432360690549972920915669709213854072832 binary64)) (*.f64 #s(literal 1/480 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 a a))))) (/.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 -3961408125713217/4951760157141521099596496896 binary64)) #s(literal 1 binary64) (if (<=.f64 b #s(literal 7352373481323731/2535301200456458802993406410752 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a))))) (if (<=.f64 b #s(literal 59999999999999996826002070605920807106308299383694011723573432360690549972920915669709213854072832 binary64)) (*.f64 #s(literal 1/480 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 a a))))) (/.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 -3961408125713217/4951760157141521099596496896 binary64)) #s(literal 1 binary64) (if (<=.f64 b #s(literal 7352373481323731/2535301200456458802993406410752 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a))))) (if (<=.f64 b #s(literal 1300000000000000029599179346339103758944341609839754507541616304749184666976547096417134357705931747015841481878296224129926262500534270147798507716608 binary64)) (*.f64 #s(literal 1/480 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))))))
(if (<=.f64 b #s(literal -3961408125713217/4951760157141521099596496896 binary64)) #s(literal 1 binary64) (if (<=.f64 b #s(literal 360 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a)) (if (<=.f64 b #s(literal 1300000000000000029599179346339103758944341609839754507541616304749184666976547096417134357705931747015841481878296224129926262500534270147798507716608 binary64)) (*.f64 #s(literal 1/480 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))))))
(if (<=.f64 b #s(literal -3961408125713217/4951760157141521099596496896 binary64)) #s(literal 1 binary64) (if (<=.f64 b #s(literal 7352373481323731/2535301200456458802993406410752 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a)) (/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))))
(if (<=.f64 b #s(literal -3961408125713217/4951760157141521099596496896 binary64)) #s(literal 1 binary64) (if (<=.f64 b #s(literal 7352373481323731/2535301200456458802993406410752 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 -1 binary64)) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64))))
(if (<=.f64 b #s(literal -3961408125713217/4951760157141521099596496896 binary64)) #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a)))
(if (<=.f64 b #s(literal -2476979795053773/2251799813685248 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)))
(/.f64 (exp.f64 a) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))))
(/.f64 (exp.f64 a) (+.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))))
(if (<=.f64 (exp.f64 a) #s(literal 1 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 #s(literal 1/2 binary64) a)))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))))))
(if (<=.f64 (exp.f64 a) #s(literal 1 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 #s(literal 1/2 binary64))))) (+.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 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 #s(literal 1/2 binary64) a)))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 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 #s(literal 1/2 binary64))))) (+.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))))))
(if (<=.f64 (exp.f64 a) #s(literal 9007197453301141/9007199254740992 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 9007197453301141/9007199254740992 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 -15 binary64)) #s(literal 1 binary64) (if (<=.f64 b #s(literal 10000000000000000019156750857346687362159551272651920111528035145993793242039887559612361451081803235328 binary64)) (/.f64 (exp.f64 a) #s(literal 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))))))))))
(if (<=.f64 b #s(literal -3961408125713217/4951760157141521099596496896 binary64)) #s(literal 1 binary64) (if (<=.f64 b #s(literal 7352373481323731/2535301200456458802993406410752 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64))))))) (if (<=.f64 b #s(literal 59999999999999996826002070605920807106308299383694011723573432360690549972920915669709213854072832 binary64)) (*.f64 #s(literal 1/480 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 a a))))) (/.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 -3961408125713217/4951760157141521099596496896 binary64)) #s(literal 1 binary64) (if (<=.f64 b #s(literal 7352373481323731/2535301200456458802993406410752 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a))))) (if (<=.f64 b #s(literal 59999999999999996826002070605920807106308299383694011723573432360690549972920915669709213854072832 binary64)) (*.f64 #s(literal 1/480 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 a a))))) (/.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 -3961408125713217/4951760157141521099596496896 binary64)) #s(literal 1 binary64) (if (<=.f64 b #s(literal 7352373481323731/2535301200456458802993406410752 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) #s(literal -1/48 binary64))))) (if (<=.f64 b #s(literal 59999999999999996826002070605920807106308299383694011723573432360690549972920915669709213854072832 binary64)) (*.f64 #s(literal 1/480 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 a a))))) (/.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 -3961408125713217/4951760157141521099596496896 binary64)) #s(literal 1 binary64) (if (<=.f64 b #s(literal 7352373481323731/2535301200456458802993406410752 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a))))) (if (<=.f64 b #s(literal 1300000000000000029599179346339103758944341609839754507541616304749184666976547096417134357705931747015841481878296224129926262500534270147798507716608 binary64)) (*.f64 #s(literal 1/480 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))))))
(if (<=.f64 b #s(literal -3961408125713217/4951760157141521099596496896 binary64)) #s(literal 1 binary64) (if (<=.f64 b #s(literal 7352373481323731/2535301200456458802993406410752 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) #s(literal -1/48 binary64))))) (if (<=.f64 b #s(literal 1300000000000000029599179346339103758944341609839754507541616304749184666976547096417134357705931747015841481878296224129926262500534270147798507716608 binary64)) (*.f64 #s(literal 1/480 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))))))
(if (<=.f64 b #s(literal -3961408125713217/4951760157141521099596496896 binary64)) #s(literal 1 binary64) (if (<=.f64 b #s(literal 360 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a)) (if (<=.f64 b #s(literal 1300000000000000029599179346339103758944341609839754507541616304749184666976547096417134357705931747015841481878296224129926262500534270147798507716608 binary64)) (*.f64 #s(literal 1/480 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))))))
(if (<=.f64 b #s(literal -3961408125713217/4951760157141521099596496896 binary64)) #s(literal 1 binary64) (if (<=.f64 b #s(literal 360 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64))) (if (<=.f64 b #s(literal 1300000000000000029599179346339103758944341609839754507541616304749184666976547096417134357705931747015841481878296224129926262500534270147798507716608 binary64)) (*.f64 #s(literal 1/480 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))))))
(if (<=.f64 b #s(literal -3961408125713217/4951760157141521099596496896 binary64)) #s(literal 1 binary64) (if (<=.f64 b #s(literal 7352373481323731/2535301200456458802993406410752 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a)) (/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))))
(if (<=.f64 b #s(literal -3961408125713217/4951760157141521099596496896 binary64)) #s(literal 1 binary64) (if (<=.f64 b #s(literal 7352373481323731/2535301200456458802993406410752 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))))
(if (<=.f64 b #s(literal -3961408125713217/4951760157141521099596496896 binary64)) #s(literal 1 binary64) (if (<=.f64 b #s(literal 7352373481323731/2535301200456458802993406410752 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 -3961408125713217/4951760157141521099596496896 binary64)) #s(literal 1 binary64) (if (<=.f64 b #s(literal 7352373481323731/2535301200456458802993406410752 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 b b))))
(if (<=.f64 b #s(literal -1 binary64)) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64))))
(if (<=.f64 b #s(literal -3961408125713217/4951760157141521099596496896 binary64)) #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a)))
(if (<=.f64 b #s(literal -3961408125713217/4951760157141521099596496896 binary64)) #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64))))
(if (<=.f64 b #s(literal -2476979795053773/2251799813685248 binary64)) #s(literal 1 binary64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)

soundness2.0s (22.7%)

Rules
4894×+-lowering-+.f64
4894×+-lowering-+.f32
4598×+-lowering-+.f64
4598×+-lowering-+.f32
3714×*-lowering-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033162
1252139
22182139
010046139
0120714
1360669
21225655
35177650
08588650
02311526
16641450
218581397
362171396
081571396
03022650
19562336
229522263
082602263
02962515
19062369
230762292
082452292
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 1603 to 936 computations (41.6% saved)

preprocess82.0ms (1%)

Compiler

Compiled 820 to 230 computations (72% saved)

end0.0ms (0%)

Profiling

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