Quotient of sum of exps

Time bar (total: 9.2s)

analyze13.0ms (0.1%)

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: 3.0ms
ival-exp: 2.0ms (72.9% of total)
ival-add: 1.0ms (36.5% of total)
ival-div: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample1.0s (11.2%)

Results
585.0ms8256×0valid
196.0ms3007×0unsamplable
Precisions
Click to see histograms. Total time spent on operations: 401.0ms
ival-exp: 218.0ms (54.4% of total)
ival-div: 99.0ms (24.7% of total)
ival-add: 70.0ms (17.5% of total)
const: 9.0ms (2.2% of total)
backward-pass: 4.0ms (1% of total)
Bogosity

preprocess147.0ms (1.6%)

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
14656
28556
316356
433549
566849
6112449
7198849
8281549
9382149
10418346
11483645
12546344
13601944
14629044
15633044
16634044
068
198
098
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 (fast-exp (- b a))))
(/ (exp (neg a)) (+ (exp (neg a)) (exp b)))
(recip (fmsub (fast-exp a) (fast-exp b) -1))
(/ (exp a) (+ (exp a) (exp (neg b))))
(recip (+ 1 (fast-exp (- (neg a) b))))
(neg (/ (exp (neg a)) (+ (exp (neg a)) (exp b))))
(recip (fnmsub (fast-exp a) (fast-exp b) 1))
(neg (/ (exp a) (+ (exp a) (exp (neg b)))))
(recip (- -1 (fast-exp (- (neg a) b))))
(/ (exp b) (+ (exp b) (exp a)))
(recip (+ 1 (fast-exp (- a b))))

explain114.0ms (1.2%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
20-0-(/.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
45.0ms512×0valid
Compiler

Compiled 54 to 20 computations (63% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-exp: 8.0ms (51.8% of total)
ival-div: 4.0ms (25.9% of total)
ival-add: 3.0ms (19.4% 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
99.2%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 10 to 6 computations (40% saved)

simplify5.0ms (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
fast-exp-define
+-lowering-+.f32
exp-lowering-exp.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0619
1919
0919
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

localize34.0ms (0.4%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(exp.f64 b)
accuracy100.0%
(exp.f64 a)
accuracy100.0%
(+.f64 (exp.f64 a) (exp.f64 b))
accuracy99.2%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Results
25.0ms256×0valid
Compiler

Compiled 22 to 7 computations (68.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-exp: 4.0ms (42.6% of total)
ival-div: 3.0ms (31.9% of total)
ival-add: 1.0ms (10.6% 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)))

rewrite300.0ms (3.2%)

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
13017
222117
3217717
0876717
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 a #s(literal 2 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 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 3 binary64))) (*.f64 (exp.f64 a) (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))
(/.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))))
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(/.f64 (neg.f64 (*.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 9 binary64))) (exp.f64 (*.f64 b #s(literal 9 binary64)))) #s(literal 1 binary64))) (neg.f64 (*.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 (exp.f64 (*.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b)))))))
(/.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 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b)))))))
(/.f64 (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 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 a #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 b #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 a #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 b #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 a #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 b #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 a #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))))) #s(literal 1 binary64)))
(*.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b)))) (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (+.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))))))
(*.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b)))) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b)))))))
(*.f64 #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 a #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 b #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 a #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))))) (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 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))))))
(*.f64 (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 a #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b)))))) #s(literal -1 binary64)))
(*.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 (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 a #s(literal 2 binary64))) (-.f64 (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 #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 a #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b)))) (+.f64 (exp.f64 (*.f64 a #s(literal 9 binary64))) (exp.f64 (*.f64 b #s(literal 9 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (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 a #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b)))) (-.f64 (exp.f64 (*.f64 a #s(literal 6 binary64))) (exp.f64 (*.f64 b #s(literal 6 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))))
(*.f64 (pow.f64 (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (exp.f64 (*.f64 a #s(literal 6 binary64))) (exp.f64 (*.f64 b #s(literal 6 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a #s(literal 4 binary64))) (+.f64 (exp.f64 (*.f64 b #s(literal 4 binary64))) (exp.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)))))))
(*.f64 (pow.f64 (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (exp.f64 (*.f64 a #s(literal 4 binary64))) (exp.f64 (*.f64 b #s(literal 4 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64))))))
(exp.f64 b)
(exp.f64 (*.f64 b #s(literal 1 binary64)))
(pow.f64 (exp.f64 b) #s(literal 1 binary64))

simplify233.0ms (2.5%)

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
1366655
21233637
35187633
08610633
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 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (*.f64 a (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal -3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))))))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (*.f64 a (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (*.f64 a (+.f64 (+.f64 (/.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 #s(literal 0 binary64) (*.f64 b (*.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 (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 b (-.f64 (*.f64 b (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1/2 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)))))) (*.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 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #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)))
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)

eval39.0ms (0.4%)

Compiler

Compiled 9353 to 1018 computations (89.1% saved)

prune45.0ms (0.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New3667373
Fresh000
Picked101
Done000
Total3677374
Accuracy
99.7%
Counts
374 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.6%
(pow.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
99.2%
(/.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 a))) (exp.f64 b)))
77.7%
(/.f64 (exp.f64 a) (+.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))))))))
66.7%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b)))
68.9%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
86.0%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
67.0%
(-.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))))
Compiler

Compiled 196 to 126 computations (35.7% saved)

simplify244.0ms (2.6%)

Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 #s(literal 1 binary64) (exp.f64 a))
cost-diff0
(+.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)))))))
cost-diff0
(exp.f64 a)
cost-diff6272
(/.f64 (exp.f64 a) (+.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))))))))
cost-diff0
(+.f64 #s(literal 1 binary64) b)
cost-diff0
(+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b))
cost-diff0
(exp.f64 a)
cost-diff6272
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b)))
cost-diff0
(+.f64 (exp.f64 a) #s(literal 1 binary64))
cost-diff0
(exp.f64 a)
cost-diff6272
(/.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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 a))) (exp.f64 b))
cost-diff0
(exp.f64 a)
cost-diff256
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 a)))
cost-diff12672
(/.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 a))) (exp.f64 b)))
Rules
2642×fma-lowering-fma.f32
2642×fma-lowering-fma.f64
2182×sum4-define
2106×sum3-define
1688×fmm-def
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
026155
168143
2186140
3452140
41103139
52720138
64638138
75596138
86464138
96716138
107960138
08689138
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (exp a) (+ (/ 1 (/ 1 (exp a))) (exp b)))
(exp a)
a
(+ (/ 1 (/ 1 (exp a))) (exp b))
(/ 1 (/ 1 (exp a)))
1
(/ 1 (exp a))
(exp b)
b
(/ 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) (+ (exp a) (+ 1 b)))
(exp a)
a
(+ (exp a) (+ 1 b))
(+ 1 b)
1
b
(/ (exp a) (+ (+ 1 (exp a)) (* b (+ 1 (* b (+ 1/2 (* b 1/6)))))))
(exp a)
a
(+ (+ 1 (exp a)) (* b (+ 1 (* b (+ 1/2 (* b 1/6))))))
(+ 1 (exp a))
1
(* b (+ 1 (* b (+ 1/2 (* b 1/6)))))
b
(+ 1 (* b (+ 1/2 (* b 1/6))))
(* b (+ 1/2 (* b 1/6)))
(+ 1/2 (* b 1/6))
1/2
(* b 1/6)
1/6
Outputs
(/ (exp a) (+ (/ 1 (/ 1 (exp a))) (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(exp a)
(exp.f64 a)
a
(+ (/ 1 (/ 1 (exp a))) (exp b))
(+.f64 (exp.f64 a) (exp.f64 b))
(/ 1 (/ 1 (exp a)))
(exp.f64 a)
1
#s(literal 1 binary64)
(/ 1 (exp a))
(/.f64 #s(literal 1 binary64) (exp.f64 a))
(exp b)
(exp.f64 b)
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
(/ (exp a) (+ (exp a) 1))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 a))))
(exp a)
(exp.f64 a)
a
(+ (exp a) 1)
(+.f64 (exp.f64 a) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(/ (exp a) (+ (exp a) (+ 1 b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) b) (exp.f64 a))))
(exp a)
(exp.f64 a)
a
(+ (exp a) (+ 1 b))
(+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) b))
(+ 1 b)
(+.f64 #s(literal 1 binary64) b)
1
#s(literal 1 binary64)
b
(/ (exp a) (+ (+ 1 (exp a)) (* b (+ 1 (* b (+ 1/2 (* b 1/6)))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.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.f64 a))))
(exp a)
(exp.f64 a)
a
(+ (+ 1 (exp a)) (* b (+ 1 (* b (+ 1/2 (* b 1/6))))))
(+.f64 #s(literal 1 binary64) (+.f64 (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))))))))
(+ 1 (exp a))
(+.f64 (exp.f64 a) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(* b (+ 1 (* b (+ 1/2 (* b 1/6)))))
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))
b
(+ 1 (* b (+ 1/2 (* b 1/6))))
(+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))
(* b (+ 1/2 (* b 1/6)))
(*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))
(+ 1/2 (* b 1/6))
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))
1/2
#s(literal 1/2 binary64)
(* b 1/6)
(*.f64 b #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)

localize181.0ms (2%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))
accuracy99.9%
(*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))
accuracy99.6%
(*.f64 b #s(literal 1/6 binary64))
accuracy99.5%
(/.f64 (exp.f64 a) (+.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))))))))
accuracy100.0%
(+.f64 #s(literal 1 binary64) b)
accuracy100.0%
(exp.f64 a)
accuracy100.0%
(+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b))
accuracy99.6%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b)))
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) (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) (/.f64 #s(literal 1 binary64) (exp.f64 a)))
accuracy100.0%
(/.f64 #s(literal 1 binary64) (exp.f64 a))
accuracy100.0%
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 a))) (exp.f64 b))
accuracy99.6%
(/.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 a))) (exp.f64 b)))
Results
119.0ms198×0valid
20.0ms58×0unsamplable
Compiler

Compiled 174 to 27 computations (84.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-div: 11.0ms (30.2% of total)
ival-add: 11.0ms (30.2% of total)
ival-mult: 5.0ms (13.7% of total)
ival-exp: 4.0ms (11% of total)
...c/correct-round.rkt:119:19: 4.0ms (11% of total)
const: 1.0ms (2.7% of total)
backward-pass: 0.0ms (0% of total)

series23.0ms (0.3%)

Counts
19 → 300
Calls
Call 1
Inputs
#<alt (/ (exp a) (+ (/ 1 (/ 1 (exp a))) (exp b)))>
#<alt (/ 1 (/ 1 (exp a)))>
#<alt (exp a)>
#<alt (+ (/ 1 (/ 1 (exp a))) (exp b))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (+ 1 (exp b))>
#<alt (exp b)>
#<alt (/ (exp a) (+ (exp a) 1))>
#<alt (+ (exp a) 1)>
#<alt (/ (exp a) (+ (exp a) (+ 1 b)))>
#<alt (+ (exp a) (+ 1 b))>
#<alt (+ 1 b)>
#<alt (/ (exp a) (+ (+ 1 (exp a)) (* b (+ 1 (* b (+ 1/2 (* b 1/6)))))))>
#<alt (+ (+ 1 (exp a)) (* b (+ 1 (* b (+ 1/2 (* b 1/6))))))>
#<alt (+ 1 (exp a))>
#<alt (/ 1 (exp a))>
#<alt (* b 1/6)>
#<alt (* b (+ 1/2 (* b 1/6)))>
#<alt (* b (+ 1 (* b (+ 1/2 (* b 1/6)))))>
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>
#<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 1/2>
#<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 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 (+ 2 b))>
#<alt (+ (* a (- (/ 1 (+ 2 b)) (/ 1 (pow (+ 2 b) 2)))) (/ 1 (+ 2 b)))>
#<alt (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 2 b))) (/ 1 (pow (+ 2 b) 3))) (* 3/2 (/ 1 (pow (+ 2 b) 2))))) (/ 1 (+ 2 b))) (/ 1 (pow (+ 2 b) 2)))) (/ 1 (+ 2 b)))>
#<alt (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 2 b))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 2 b))) (* 3/2 (/ 1 (pow (+ 2 b) 3)))) (+ (* 1/6 (/ 1 (pow (+ 2 b) 2))) (+ (* 1/2 (/ 1 (pow (+ 2 b) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 2 b)) (/ 1 (pow (+ 2 b) 2))) (+ 2 b))) (/ 1 (pow (+ 2 b) 4))))))) (/ 1 (pow (+ 2 b) 3)))) (* 3/2 (/ 1 (pow (+ 2 b) 2))))) (/ 1 (+ 2 b))) (/ 1 (pow (+ 2 b) 2)))) (/ 1 (+ 2 b)))>
#<alt (/ (exp a) (+ 1 (+ b (exp a))))>
#<alt (/ (exp a) (+ 1 (+ b (exp a))))>
#<alt (/ (exp a) (+ 1 (+ b (exp a))))>
#<alt (/ (exp a) (+ 1 (+ b (exp a))))>
#<alt (/ (exp a) (+ 1 (+ b (exp a))))>
#<alt (/ (exp a) (+ 1 (+ b (exp a))))>
#<alt (/ (exp a) (+ 1 (+ b (exp a))))>
#<alt (/ (exp a) (+ 1 (+ b (exp a))))>
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))>
#<alt (+ (* b (- (/ (* b (exp a)) (pow (+ 1 (exp a)) 3)) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))>
#<alt (+ (* b (- (* b (- (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 4))) (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))>
#<alt (/ (exp a) b)>
#<alt (/ (+ (exp a) (* -1 (/ (* (exp a) (+ 1 (exp a))) b))) b)>
#<alt (/ (- (+ (exp a) (/ (* (exp a) (pow (+ 1 (exp a)) 2)) (pow b 2))) (/ (* (exp a) (+ 1 (exp a))) b)) b)>
#<alt (/ (- (+ (exp a) (* -1 (/ (* (exp a) (pow (+ 1 (exp a)) 3)) (pow b 3)))) (+ (* -1 (/ (* (exp a) (pow (+ 1 (exp a)) 2)) (pow b 2))) (/ (* (exp a) (+ 1 (exp a))) b))) b)>
#<alt (/ (exp a) b)>
#<alt (* -1 (/ (+ (* -1 (exp a)) (/ (* (exp a) (+ 1 (exp a))) b)) b))>
#<alt (* -1 (/ (+ (* -1 (exp a)) (* -1 (/ (- (/ (* (exp a) (pow (+ 1 (exp a)) 2)) b) (* (exp a) (+ 1 (exp a)))) b))) b))>
#<alt (* -1 (/ (+ (* -1 (exp a)) (* -1 (/ (- (* -1 (/ (- (/ (* (exp a) (pow (+ 1 (exp a)) 3)) b) (* (exp a) (pow (+ 1 (exp a)) 2))) b)) (* (exp a) (+ 1 (exp a)))) b))) b))>
#<alt (+ 2 b)>
#<alt (+ 2 (+ a b))>
#<alt (+ 2 (+ b (* a (+ 1 (* 1/2 a)))))>
#<alt (+ 2 (+ b (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))>
#<alt (+ 1 (+ b (exp a)))>
#<alt (+ 1 (+ b (exp a)))>
#<alt (+ 1 (+ b (exp a)))>
#<alt (+ 1 (+ b (exp a)))>
#<alt (+ 1 (+ b (exp a)))>
#<alt (+ 1 (+ b (exp a)))>
#<alt (+ 1 (+ b (exp a)))>
#<alt (+ 1 (+ b (exp a)))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (+ b (exp a)))>
#<alt (+ 1 (+ b (exp a)))>
#<alt (+ 1 (+ b (exp a)))>
#<alt b>
#<alt (* b (+ 1 (+ (/ 1 b) (/ (exp a) b))))>
#<alt (* b (+ 1 (+ (/ 1 b) (/ (exp a) b))))>
#<alt (* b (+ 1 (+ (/ 1 b) (/ (exp a) b))))>
#<alt b>
#<alt (* -1 (* b (- (* -1 (/ (+ 1 (exp a)) b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ (+ 1 (exp a)) b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ (+ 1 (exp a)) b)) 1)))>
#<alt 1>
#<alt (+ 1 b)>
#<alt (+ 1 b)>
#<alt (+ 1 b)>
#<alt b>
#<alt (* b (+ 1 (/ 1 b)))>
#<alt (* b (+ 1 (/ 1 b)))>
#<alt (* b (+ 1 (/ 1 b)))>
#<alt b>
#<alt (* b (+ 1 (/ 1 b)))>
#<alt (* b (+ 1 (/ 1 b)))>
#<alt (* b (+ 1 (/ 1 b)))>
#<alt (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))>
#<alt (+ (* a (- (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 2)))) (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))>
#<alt (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))) (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 3))) (* 3/2 (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 2))))) (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))) (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 2)))) (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))>
#<alt (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))) (* 3/2 (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 3)))) (+ (* 1/6 (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 2))) (+ (* 1/2 (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 2))) (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))) (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 4))))))) (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 3)))) (* 3/2 (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 2))))) (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))) (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 2)))) (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))>
#<alt (/ (exp a) (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))>
#<alt (/ (exp a) (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))>
#<alt (/ (exp a) (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))>
#<alt (/ (exp a) (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))>
#<alt (/ (exp a) (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))>
#<alt (/ (exp a) (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))>
#<alt (/ (exp a) (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))>
#<alt (/ (exp a) (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 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 (* 6 (/ (exp a) (pow b 3)))>
#<alt (/ (+ (* -18 (/ (exp a) b)) (* 6 (exp a))) (pow b 3))>
#<alt (/ (- (+ (* -1 (/ (+ (* -54 (exp a)) (* 36 (exp a))) (pow b 2))) (* 6 (exp a))) (* 18 (/ (exp a) b))) (pow b 3))>
#<alt (/ (- (+ (* -1 (/ (+ (* -108 (exp a)) (+ (* -3 (+ (* -54 (exp a)) (* 36 (exp a)))) (* 36 (* (exp a) (+ 1 (exp a)))))) (pow b 3))) (* 6 (exp a))) (+ (* -54 (/ (exp a) (pow b 2))) (+ (* 18 (/ (exp a) b)) (* 36 (/ (exp a) (pow b 2)))))) (pow b 3))>
#<alt (* 6 (/ (exp a) (pow b 3)))>
#<alt (* -1 (/ (+ (* -6 (exp a)) (* 18 (/ (exp a) b))) (pow b 3)))>
#<alt (* -1 (/ (+ (* -6 (exp a)) (* -1 (/ (- (+ (* -36 (/ (exp a) b)) (* 54 (/ (exp a) b))) (* 18 (exp a))) b))) (pow b 3)))>
#<alt (* -1 (/ (+ (* -6 (exp a)) (* -1 (/ (- (* -1 (/ (- (+ (* -108 (/ (exp a) b)) (+ (* 3 (/ (+ (* -36 (exp a)) (* 54 (exp a))) b)) (* 36 (/ (* (exp a) (+ 1 (exp a))) b)))) (+ (* -36 (exp a)) (* 54 (exp a)))) b)) (* 18 (exp a))) b))) (pow b 3)))>
#<alt (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))>
#<alt (+ 2 (+ a (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))>
#<alt (+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))>
#<alt (+ 2 (+ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))>
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))>
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))>
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))>
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))>
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))>
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))>
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))>
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 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 (* 1/6 (pow b 3))>
#<alt (* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))>
#<alt (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (+ (/ 1 (pow b 3)) (/ (exp a) (pow b 3)))))))>
#<alt (* 1/6 (pow b 3))>
#<alt (* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))>
#<alt (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp a)) b)) 1) b))) b)) 1/6)))>
#<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>
#<alt (+ 1 (* -1 a))>
#<alt (+ 1 (* a (- (* 1/2 a) 1)))>
#<alt (+ 1 (* a (- (* a (+ 1/2 (* -1/6 a))) 1)))>
#<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 (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt (* 1/2 b)>
#<alt (* b (+ 1/2 (* 1/6 b)))>
#<alt (* b (+ 1/2 (* 1/6 b)))>
#<alt (* b (+ 1/2 (* 1/6 b)))>
#<alt (* 1/6 (pow b 2))>
#<alt (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* 1/6 (pow b 2))>
#<alt (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt b>
#<alt (* b (+ 1 (* 1/2 b)))>
#<alt (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))>
#<alt (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))>
#<alt (* 1/6 (pow b 3))>
#<alt (* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))>
#<alt (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))>
#<alt (* 1/6 (pow b 3))>
#<alt (* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))>
#<alt (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))>
Calls

75 calls:

TimeVariablePointExpression
2.0ms
a
@0
(/ (exp a) (+ (exp a) 1))
2.0ms
a
@0
(/ (exp a) (+ (+ 1 (exp a)) (* b (+ 1 (* b (+ 1/2 (* b 1/6)))))))
2.0ms
b
@inf
(+ 1 b)
1.0ms
a
@inf
(/ (exp a) (+ (+ 1 (exp a)) (* b (+ 1 (* b (+ 1/2 (* b 1/6)))))))
1.0ms
b
@inf
(/ 1 (+ 1 (exp b)))

rewrite410.0ms (4.4%)

Algorithm
batch-egg-rewrite
Rules
4362×*-lowering-*.f32
4362×*-lowering-*.f64
2592×/-lowering-/.f32
2592×/-lowering-/.f64
2442×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
026118
1215107
22137106
08675106
Stop Event
iter limit
node limit
Counts
19 → 616
Calls
Call 1
Inputs
(/ (exp a) (+ (/ 1 (/ 1 (exp a))) (exp b)))
(/ 1 (/ 1 (exp a)))
(exp a)
(+ (/ 1 (/ 1 (exp a))) (exp b))
(/ 1 (+ 1 (exp b)))
(+ 1 (exp b))
(exp b)
(/ (exp a) (+ (exp a) 1))
(+ (exp a) 1)
(/ (exp a) (+ (exp a) (+ 1 b)))
(+ (exp a) (+ 1 b))
(+ 1 b)
(/ (exp a) (+ (+ 1 (exp a)) (* b (+ 1 (* b (+ 1/2 (* b 1/6)))))))
(+ (+ 1 (exp a)) (* b (+ 1 (* b (+ 1/2 (* b 1/6))))))
(+ 1 (exp a))
(/ 1 (exp a))
(* b 1/6)
(* b (+ 1/2 (* b 1/6)))
(* b (+ 1 (* b (+ 1/2 (* b 1/6)))))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (exp.f64 a) (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.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 -1 binary64) (exp.f64 a))))
(/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 a) (exp.f64 b))))
(/.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 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))) (/.f64 #s(literal -1 binary64) (exp.f64 a)))
(pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (exp.f64 a) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (/.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 a) (exp.f64 b))) (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 (exp.f64 (*.f64 a #s(literal 2 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 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64))))) (-.f64 (exp.f64 a) (exp.f64 b)))
(*.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (exp.f64 a)))
(exp.f64 a)
(exp.f64 (*.f64 a #s(literal 1 binary64)))
(neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)))
(/.f64 (exp.f64 a) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 a)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 a)))
(/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) #s(literal -1 binary64))
(pow.f64 (exp.f64 a) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (+.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) a))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) #s(literal -1/2 binary64))) #s(literal 2 binary64))
(*.f64 (exp.f64 a) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 a))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 a)))
(*.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) #s(literal 1 binary64)))
(*.f64 (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) #s(literal -1/2 binary64))) (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (exp.f64 (*.f64 a #s(literal -1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (exp.f64 (*.f64 a #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(exp.f64 a)
(exp.f64 (*.f64 a #s(literal 1 binary64)))
(neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)))
(/.f64 (exp.f64 a) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 a)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 a)))
(/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) #s(literal -1 binary64))
(pow.f64 (exp.f64 a) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (+.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) a))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) #s(literal -1/2 binary64))) #s(literal 2 binary64))
(*.f64 (exp.f64 a) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 a))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 a)))
(*.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) #s(literal 1 binary64)))
(*.f64 (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) #s(literal -1/2 binary64))) (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (exp.f64 (*.f64 a #s(literal -1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (exp.f64 (*.f64 a #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(+.f64 (exp.f64 a) (exp.f64 b))
(+.f64 (exp.f64 b) (exp.f64 a))
(-.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))))
(fma.f64 (exp.f64 a) #s(literal 1 binary64) (exp.f64 b))
(fma.f64 #s(literal 1 binary64) (exp.f64 a) (exp.f64 b))
(fma.f64 #s(literal 1 binary64) (exp.f64 b) (exp.f64 a))
(fma.f64 (exp.f64 b) #s(literal 1 binary64) (exp.f64 a))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 a)) (exp.f64 b))
(fma.f64 (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) #s(literal -1/2 binary64))) (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) #s(literal -1/2 binary64))) (exp.f64 b))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b)))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.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 (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 (*.f64 b #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 (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 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64)))) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64))))) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (*.f64 a #s(literal 2 binary64)))) (-.f64 (exp.f64 b) (exp.f64 a)))
(pow.f64 (/.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b)))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.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 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))))))
(*.f64 (-.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))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 b)) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log1p.f64 (exp.f64 b))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) (expm1.f64 b))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) (expm1.f64 b)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (exp.f64 b)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 2 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+.f64 (exp.f64 b) #s(literal 1 binary64))
(exp.f64 (neg.f64 (*.f64 (log1p.f64 (exp.f64 b)) #s(literal -1 binary64))))
(-.f64 (/.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))))
(fma.f64 #s(literal 1 binary64) (exp.f64 b) #s(literal 1 binary64))
(fma.f64 (exp.f64 b) #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) (expm1.f64 b))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 2 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal -1 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 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) (exp.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 (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 2 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 (expm1.f64 (+.f64 b b)) (expm1.f64 b))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal -1 binary64))
(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 b)) #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))))
(exp.f64 b)
(pow.f64 (exp.f64 b) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) b)
(*.f64 #s(literal 1 binary64) (exp.f64 b))
(*.f64 (exp.f64 b) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 a)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/.f64 (exp.f64 a) (neg.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 a)) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a))))
(/.f64 #s(literal -1 binary64) (*.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 a))))
(/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 a))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (exp.f64 a)))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (exp.f64 a)))
(pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (exp.f64 a) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
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(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) (+.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 3 binary64)) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))) (*.f64 b (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (+.f64 (exp.f64 a) #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))))))) (-.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))) (*.f64 b (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))))) #s(literal -1 binary64))
(*.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 3 binary64)) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))) (*.f64 b (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))))))
(*.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))) (*.f64 b (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (exp.f64 a) #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)))))))))
(+.f64 (exp.f64 a) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 a))))
(-.f64 (/.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (expm1.f64 a)) (/.f64 #s(literal 1 binary64) (expm1.f64 a)))
(fma.f64 (exp.f64 a) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (exp.f64 a) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 a)) #s(literal 1 binary64))
(fma.f64 (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) #s(literal -1/2 binary64))) (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) (expm1.f64 a))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) (expm1.f64 a))))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 a))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 a)))
(/.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) #s(literal -1 binary64)) (expm1.f64 a))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) (expm1.f64 a)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 a)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 2 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) #s(literal -1 binary64))) (neg.f64 (expm1.f64 a)))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) (expm1.f64 a))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 2 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (expm1.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) (expm1.f64 a)))))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 a)))))
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a))))
(*.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (expm1.f64 a)))
(exp.f64 (-.f64 #s(literal 0 binary64) a))
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) #s(literal 1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 a)))
(/.f64 #s(literal 1 binary64) (exp.f64 a))
(/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 a)))
(/.f64 (/.f64 #s(literal -1 binary64) (exp.f64 a)) #s(literal -1 binary64))
(pow.f64 (exp.f64 a) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 1 binary64))
(pow.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (*.f64 a #s(literal -1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) a)
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 a)))
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 a)))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (exp.f64 a)) #s(literal 1 binary64)))
(*.f64 (exp.f64 (*.f64 a #s(literal -1/2 binary64))) (exp.f64 (*.f64 a #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (exp.f64 (*.f64 a #s(literal -1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (exp.f64 (*.f64 a #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(*.f64 b #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) b)
(+.f64 (*.f64 b #s(literal 1/2 binary64)) (*.f64 b (*.f64 b #s(literal 1/6 binary64))))
(+.f64 (*.f64 b (*.f64 b #s(literal 1/6 binary64))) (*.f64 b #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal 1/6 binary64)))))
(+.f64 (*.f64 (*.f64 b #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 b (*.f64 b #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal 1/6 binary64)))))
(fma.f64 b #s(literal 1/2 binary64) (*.f64 b (*.f64 b #s(literal 1/6 binary64))))
(fma.f64 b (*.f64 b #s(literal 1/6 binary64)) (*.f64 b #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) b (*.f64 b (*.f64 b #s(literal 1/6 binary64))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 b b) (*.f64 b #s(literal 1/2 binary64)))
(fma.f64 (*.f64 b #s(literal 1/6 binary64)) b (*.f64 b #s(literal 1/2 binary64)))
(fma.f64 (*.f64 b b) #s(literal 1/6 binary64) (*.f64 b #s(literal 1/2 binary64)))
(fma.f64 (*.f64 b #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 b (*.f64 b #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(/.f64 (+.f64 (*.f64 (*.f64 b (*.f64 b b)) #s(literal 1/8 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64)))) (+.f64 (*.f64 (*.f64 b #s(literal 1/2 binary64)) (*.f64 b #s(literal 1/2 binary64))) (-.f64 (*.f64 (*.f64 b (*.f64 b #s(literal 1/6 binary64))) (*.f64 b (*.f64 b #s(literal 1/6 binary64)))) (*.f64 (*.f64 b #s(literal 1/2 binary64)) (*.f64 b (*.f64 b #s(literal 1/6 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 b #s(literal 1/2 binary64)) (*.f64 b #s(literal 1/2 binary64))) (*.f64 (*.f64 b (*.f64 b #s(literal 1/6 binary64))) (*.f64 b (*.f64 b #s(literal 1/6 binary64))))) (-.f64 (*.f64 b #s(literal 1/2 binary64)) (*.f64 b (*.f64 b #s(literal 1/6 binary64)))))
(/.f64 (*.f64 b (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b #s(literal 1/6 binary64)) (-.f64 (*.f64 b #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (*.f64 b (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b b) #s(literal 1/36 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64))) b) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b #s(literal 1/6 binary64)) (-.f64 (*.f64 b #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b b) #s(literal 1/36 binary64))) b) (-.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))
(*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))) b)
(*.f64 (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))) b)
(+.f64 b (*.f64 b (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))
(+.f64 (*.f64 b (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))) b)
(fma.f64 #s(literal 1 binary64) b (*.f64 b (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))
(fma.f64 b #s(literal 1 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))
(fma.f64 b (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))) b)
(fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))) (*.f64 b b) b)
(fma.f64 (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))) b b)
(fma.f64 (*.f64 b b) (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))) b)
(/.f64 (+.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))))) (+.f64 (*.f64 b b) (-.f64 (*.f64 (*.f64 b (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))) (*.f64 b (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (*.f64 b (*.f64 b (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))))
(/.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 b (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))) (*.f64 b (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))) (-.f64 b (*.f64 b (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))
(/.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))) (*.f64 (*.f64 b b) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))) (-.f64 (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))) #s(literal 1 binary64)))))
(/.f64 (*.f64 b (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))) (*.f64 (*.f64 b b) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))) b) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))) (-.f64 (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))) #s(literal 1 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) b) (-.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))) b)

simplify322.0ms (3.5%)

Algorithm
egg-herbie
Rules
3560×+-lowering-+.f64
3560×+-lowering-+.f32
3348×*-lowering-*.f32
3348×*-lowering-*.f64
1900×sum4-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04293346
113492907
246312876
085842876
Stop Event
iter limit
node limit
Counts
300 → 300
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
(+ 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))
1/2
(+ 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)))
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 (+ 2 b))
(+ (* a (- (/ 1 (+ 2 b)) (/ 1 (pow (+ 2 b) 2)))) (/ 1 (+ 2 b)))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 2 b))) (/ 1 (pow (+ 2 b) 3))) (* 3/2 (/ 1 (pow (+ 2 b) 2))))) (/ 1 (+ 2 b))) (/ 1 (pow (+ 2 b) 2)))) (/ 1 (+ 2 b)))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 2 b))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 2 b))) (* 3/2 (/ 1 (pow (+ 2 b) 3)))) (+ (* 1/6 (/ 1 (pow (+ 2 b) 2))) (+ (* 1/2 (/ 1 (pow (+ 2 b) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 2 b)) (/ 1 (pow (+ 2 b) 2))) (+ 2 b))) (/ 1 (pow (+ 2 b) 4))))))) (/ 1 (pow (+ 2 b) 3)))) (* 3/2 (/ 1 (pow (+ 2 b) 2))))) (/ 1 (+ 2 b))) (/ 1 (pow (+ 2 b) 2)))) (/ 1 (+ 2 b)))
(/ (exp a) (+ 1 (+ b (exp a))))
(/ (exp a) (+ 1 (+ b (exp a))))
(/ (exp a) (+ 1 (+ b (exp a))))
(/ (exp a) (+ 1 (+ b (exp a))))
(/ (exp a) (+ 1 (+ b (exp a))))
(/ (exp a) (+ 1 (+ b (exp a))))
(/ (exp a) (+ 1 (+ b (exp a))))
(/ (exp a) (+ 1 (+ b (exp a))))
(/ (exp a) (+ 1 (exp a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (/ (* b (exp a)) (pow (+ 1 (exp a)) 3)) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* b (- (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 4))) (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(/ (exp a) b)
(/ (+ (exp a) (* -1 (/ (* (exp a) (+ 1 (exp a))) b))) b)
(/ (- (+ (exp a) (/ (* (exp a) (pow (+ 1 (exp a)) 2)) (pow b 2))) (/ (* (exp a) (+ 1 (exp a))) b)) b)
(/ (- (+ (exp a) (* -1 (/ (* (exp a) (pow (+ 1 (exp a)) 3)) (pow b 3)))) (+ (* -1 (/ (* (exp a) (pow (+ 1 (exp a)) 2)) (pow b 2))) (/ (* (exp a) (+ 1 (exp a))) b))) b)
(/ (exp a) b)
(* -1 (/ (+ (* -1 (exp a)) (/ (* (exp a) (+ 1 (exp a))) b)) b))
(* -1 (/ (+ (* -1 (exp a)) (* -1 (/ (- (/ (* (exp a) (pow (+ 1 (exp a)) 2)) b) (* (exp a) (+ 1 (exp a)))) b))) b))
(* -1 (/ (+ (* -1 (exp a)) (* -1 (/ (- (* -1 (/ (- (/ (* (exp a) (pow (+ 1 (exp a)) 3)) b) (* (exp a) (pow (+ 1 (exp a)) 2))) b)) (* (exp a) (+ 1 (exp a)))) b))) b))
(+ 2 b)
(+ 2 (+ a b))
(+ 2 (+ b (* a (+ 1 (* 1/2 a)))))
(+ 2 (+ b (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(+ 1 (+ b (exp a)))
(+ 1 (+ b (exp a)))
(+ 1 (+ b (exp a)))
(+ 1 (+ b (exp a)))
(+ 1 (+ b (exp a)))
(+ 1 (+ b (exp a)))
(+ 1 (+ b (exp a)))
(+ 1 (+ b (exp a)))
(+ 1 (exp a))
(+ 1 (+ b (exp a)))
(+ 1 (+ b (exp a)))
(+ 1 (+ b (exp a)))
b
(* b (+ 1 (+ (/ 1 b) (/ (exp a) b))))
(* b (+ 1 (+ (/ 1 b) (/ (exp a) b))))
(* b (+ 1 (+ (/ 1 b) (/ (exp a) b))))
b
(* -1 (* b (- (* -1 (/ (+ 1 (exp a)) b)) 1)))
(* -1 (* b (- (* -1 (/ (+ 1 (exp a)) b)) 1)))
(* -1 (* b (- (* -1 (/ (+ 1 (exp a)) b)) 1)))
1
(+ 1 b)
(+ 1 b)
(+ 1 b)
b
(* b (+ 1 (/ 1 b)))
(* b (+ 1 (/ 1 b)))
(* b (+ 1 (/ 1 b)))
b
(* b (+ 1 (/ 1 b)))
(* b (+ 1 (/ 1 b)))
(* b (+ 1 (/ 1 b)))
(/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ (* a (- (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 2)))) (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))) (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 3))) (* 3/2 (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 2))))) (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))) (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 2)))) (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))) (* 3/2 (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 3)))) (+ (* 1/6 (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 2))) (+ (* 1/2 (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 2))) (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))) (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 4))))))) (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 3)))) (* 3/2 (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 2))))) (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))) (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 2)))) (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
(/ (exp a) (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
(/ (exp a) (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
(/ (exp a) (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
(/ (exp a) (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
(/ (exp a) (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
(/ (exp a) (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
(/ (exp a) (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
(/ (exp a) (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 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))))
(* 6 (/ (exp a) (pow b 3)))
(/ (+ (* -18 (/ (exp a) b)) (* 6 (exp a))) (pow b 3))
(/ (- (+ (* -1 (/ (+ (* -54 (exp a)) (* 36 (exp a))) (pow b 2))) (* 6 (exp a))) (* 18 (/ (exp a) b))) (pow b 3))
(/ (- (+ (* -1 (/ (+ (* -108 (exp a)) (+ (* -3 (+ (* -54 (exp a)) (* 36 (exp a)))) (* 36 (* (exp a) (+ 1 (exp a)))))) (pow b 3))) (* 6 (exp a))) (+ (* -54 (/ (exp a) (pow b 2))) (+ (* 18 (/ (exp a) b)) (* 36 (/ (exp a) (pow b 2)))))) (pow b 3))
(* 6 (/ (exp a) (pow b 3)))
(* -1 (/ (+ (* -6 (exp a)) (* 18 (/ (exp a) b))) (pow b 3)))
(* -1 (/ (+ (* -6 (exp a)) (* -1 (/ (- (+ (* -36 (/ (exp a) b)) (* 54 (/ (exp a) b))) (* 18 (exp a))) b))) (pow b 3)))
(* -1 (/ (+ (* -6 (exp a)) (* -1 (/ (- (* -1 (/ (- (+ (* -108 (/ (exp a) b)) (+ (* 3 (/ (+ (* -36 (exp a)) (* 54 (exp a))) b)) (* 36 (/ (* (exp a) (+ 1 (exp a))) b)))) (+ (* -36 (exp a)) (* 54 (exp a)))) b)) (* 18 (exp a))) b))) (pow b 3)))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(+ 2 (+ a (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ 2 (+ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 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)))))))
(* 1/6 (pow b 3))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (+ (/ 1 (pow b 3)) (/ (exp a) (pow b 3)))))))
(* 1/6 (pow b 3))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp a)) b)) 1) b))) b)) 1/6)))
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 (* -1 a))
(+ 1 (* a (- (* 1/2 a) 1)))
(+ 1 (* a (- (* a (+ 1/2 (* -1/6 a))) 1)))
(/ 1 (exp a))
(/ 1 (exp a))
(/ 1 (exp a))
(/ 1 (exp a))
(/ 1 (exp a))
(/ 1 (exp a))
(/ 1 (exp a))
(/ 1 (exp a))
(* 1/6 b)
(* 1/6 b)
(* 1/6 b)
(* 1/6 b)
(* 1/6 b)
(* 1/6 b)
(* 1/6 b)
(* 1/6 b)
(* 1/6 b)
(* 1/6 b)
(* 1/6 b)
(* 1/6 b)
(* 1/2 b)
(* b (+ 1/2 (* 1/6 b)))
(* b (+ 1/2 (* 1/6 b)))
(* b (+ 1/2 (* 1/6 b)))
(* 1/6 (pow b 2))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(* 1/6 (pow b 2))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
b
(* b (+ 1 (* 1/2 b)))
(* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))
(* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))
(* 1/6 (pow b 3))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* 1/6 (pow b 3))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))
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 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (*.f64 a (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal -3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))))))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (*.f64 a (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (*.f64 a (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (+.f64 (*.f64 a (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) #s(literal 2/3 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 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 4 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 b (-.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) (/.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))))
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(/ (exp a) (+ (exp a) (exp b)))
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(/ (exp a) (+ (exp a) (exp b)))
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(/ (exp a) (+ (exp a) (exp b)))
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(/ (exp a) (+ (exp a) (exp b)))
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(/ (exp a) (+ (exp a) (exp b)))
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(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
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1
#s(literal 1 binary64)
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(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
#s(literal 1 binary64)
(+ 1 a)
(+.f64 #s(literal 1 binary64) a)
(+ 1 (* a (+ 1 (* 1/2 a))))
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(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)
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(+ 1 (+ a (exp b)))
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(+ 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)))))))
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(+.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))
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(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (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))
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(+ 1 (+ b (exp a)))
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(+.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))
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1/2
#s(literal 1/2 binary64)
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2
#s(literal 2 binary64)
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(+.f64 #s(literal 1 binary64) (exp.f64 b))
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(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
1
#s(literal 1 binary64)
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(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
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(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 a))
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(+ 1/2 (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))))
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(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ (exp a) (+ 1 (exp a)))
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(/ (exp a) (+ 1 (exp a)))
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2
#s(literal 2 binary64)
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(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
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(+ 1 (exp a))
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(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(/ 1 (+ 2 b))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
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(/ (exp a) (+ 1 (+ b (exp a))))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (+.f64 b (exp.f64 a))))
(/ (exp a) (+ 1 (+ b (exp a))))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (+.f64 b (exp.f64 a))))
(/ (exp a) (+ 1 (+ b (exp a))))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (+.f64 b (exp.f64 a))))
(/ (exp a) (+ 1 (+ b (exp a))))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (+.f64 b (exp.f64 a))))
(/ (exp a) (+ 1 (+ b (exp a))))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (+.f64 b (exp.f64 a))))
(/ (exp a) (+ 1 (+ b (exp a))))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (+.f64 b (exp.f64 a))))
(/ (exp a) (+ 1 (+ b (exp a))))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (+.f64 b (exp.f64 a))))
(/ (exp a) (+ 1 (+ b (exp a))))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (+.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))))
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(/ (exp a) b)
(/.f64 (exp.f64 a) b)
(/ (+ (exp a) (* -1 (/ (* (exp a) (+ 1 (exp a))) b))) b)
(/.f64 (*.f64 (exp.f64 a) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) b))
(/ (- (+ (exp a) (/ (* (exp a) (pow (+ 1 (exp a)) 2)) (pow b 2))) (/ (* (exp a) (+ 1 (exp a))) b)) b)
(/.f64 (+.f64 (exp.f64 a) (/.f64 (*.f64 (exp.f64 a) (+.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)) b) (-.f64 #s(literal -1 binary64) (exp.f64 a)))) b)) b)
(/ (- (+ (exp a) (* -1 (/ (* (exp a) (pow (+ 1 (exp a)) 3)) (pow b 3)))) (+ (* -1 (/ (* (exp a) (pow (+ 1 (exp a)) 2)) (pow b 2))) (/ (* (exp a) (+ 1 (exp a))) b))) b)
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(/ (exp a) b)
(/.f64 (exp.f64 a) b)
(* -1 (/ (+ (* -1 (exp a)) (/ (* (exp a) (+ 1 (exp a))) b)) b))
(/.f64 (*.f64 (exp.f64 a) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) b))
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(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 (exp.f64 a) #s(literal -6 binary64)) (/.f64 (*.f64 #s(literal 18 binary64) (-.f64 (/.f64 (exp.f64 a) b) (exp.f64 a))) b)) (*.f64 b (*.f64 b b))))
(* -1 (/ (+ (* -6 (exp a)) (* -1 (/ (- (* -1 (/ (- (+ (* -108 (/ (exp a) b)) (+ (* 3 (/ (+ (* -36 (exp a)) (* 54 (exp a))) b)) (* 36 (/ (* (exp a) (+ 1 (exp a))) b)))) (+ (* -36 (exp a)) (* 54 (exp a)))) b)) (* 18 (exp a))) b))) (pow b 3)))
(/.f64 (+.f64 (*.f64 (exp.f64 a) #s(literal -6 binary64)) (/.f64 (+.f64 (/.f64 (+.f64 (+.f64 (*.f64 (/.f64 (exp.f64 a) b) #s(literal 54 binary64)) (*.f64 (/.f64 (exp.f64 a) b) #s(literal -108 binary64))) (+.f64 (*.f64 (exp.f64 a) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal 36 binary64))) (*.f64 (exp.f64 a) #s(literal -18 binary64)))) b) (*.f64 (exp.f64 a) #s(literal 18 binary64))) b)) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))
(+ 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 a #s(literal 2 binary64)))
(+ 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 a #s(literal 1/2 binary64))))))
(+ 2 (+ (* a (+ 1 (* a (+ 1/2 (* 1/6 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 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64))))))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
(+ 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 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
(* 1/6 (pow b 3))
(*.f64 b (*.f64 #s(literal 1/6 binary64) (*.f64 b b)))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(*.f64 (*.f64 b (*.f64 b b)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) b)))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(*.f64 (*.f64 b (*.f64 b b)) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b b)))))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (+ (/ 1 (pow b 3)) (/ (exp a) (pow b 3)))))))
(*.f64 (*.f64 b (*.f64 b b)) (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (+.f64 (/.f64 (exp.f64 a) (*.f64 b (*.f64 b b))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) b))))))
(* 1/6 (pow b 3))
(*.f64 b (*.f64 #s(literal 1/6 binary64) (*.f64 b b)))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(*.f64 (*.f64 b (*.f64 b b)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) b)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))
(*.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b)) b)) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp a)) b)) 1) b))) b)) 1/6)))
(*.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) b)) b)) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))))
2
#s(literal 2 binary64)
(+ 2 a)
(+.f64 a #s(literal 2 binary64))
(+ 2 (* a (+ 1 (* 1/2 a))))
(+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
1
#s(literal 1 binary64)
(+ 1 (* -1 a))
(-.f64 #s(literal 1 binary64) a)
(+ 1 (* a (- (* 1/2 a) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal -1 binary64) (*.f64 a #s(literal 1/2 binary64)))))
(+ 1 (* a (- (* a (+ 1/2 (* -1/6 a))) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal -1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal -1/6 binary64)))))))
(/ 1 (exp a))
(/.f64 #s(literal 1 binary64) (exp.f64 a))
(/ 1 (exp a))
(/.f64 #s(literal 1 binary64) (exp.f64 a))
(/ 1 (exp a))
(/.f64 #s(literal 1 binary64) (exp.f64 a))
(/ 1 (exp a))
(/.f64 #s(literal 1 binary64) (exp.f64 a))
(/ 1 (exp a))
(/.f64 #s(literal 1 binary64) (exp.f64 a))
(/ 1 (exp a))
(/.f64 #s(literal 1 binary64) (exp.f64 a))
(/ 1 (exp a))
(/.f64 #s(literal 1 binary64) (exp.f64 a))
(/ 1 (exp a))
(/.f64 #s(literal 1 binary64) (exp.f64 a))
(* 1/6 b)
(*.f64 b #s(literal 1/6 binary64))
(* 1/6 b)
(*.f64 b #s(literal 1/6 binary64))
(* 1/6 b)
(*.f64 b #s(literal 1/6 binary64))
(* 1/6 b)
(*.f64 b #s(literal 1/6 binary64))
(* 1/6 b)
(*.f64 b #s(literal 1/6 binary64))
(* 1/6 b)
(*.f64 b #s(literal 1/6 binary64))
(* 1/6 b)
(*.f64 b #s(literal 1/6 binary64))
(* 1/6 b)
(*.f64 b #s(literal 1/6 binary64))
(* 1/6 b)
(*.f64 b #s(literal 1/6 binary64))
(* 1/6 b)
(*.f64 b #s(literal 1/6 binary64))
(* 1/6 b)
(*.f64 b #s(literal 1/6 binary64))
(* 1/6 b)
(*.f64 b #s(literal 1/6 binary64))
(* 1/2 b)
(*.f64 b #s(literal 1/2 binary64))
(* b (+ 1/2 (* 1/6 b)))
(*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))
(* b (+ 1/2 (* 1/6 b)))
(*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))
(* b (+ 1/2 (* 1/6 b)))
(*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))
(* 1/6 (pow b 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 b b))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) b)))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) b)))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) b)))
(* 1/6 (pow b 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 b b))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) b)))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) b)))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) b)))
b
(* b (+ 1 (* 1/2 b)))
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))
(* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))
(* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))
(* 1/6 (pow b 3))
(*.f64 b (*.f64 #s(literal 1/6 binary64) (*.f64 b b)))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(*.f64 (*.f64 b (*.f64 b b)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) b)))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(*.f64 (*.f64 b (*.f64 b b)) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b b)))))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(*.f64 (*.f64 b (*.f64 b b)) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b b)))))
(* 1/6 (pow b 3))
(*.f64 b (*.f64 #s(literal 1/6 binary64) (*.f64 b b)))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(*.f64 (*.f64 b (*.f64 b b)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) b)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))
(*.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b)) b)) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))
(*.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b)) b)) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))))

eval135.0ms (1.5%)

Compiler

Compiled 31258 to 2947 computations (90.6% saved)

prune157.0ms (1.7%)

Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New1132111143
Fresh202
Picked415
Done000
Total1138121150
Accuracy
99.7%
Counts
1150 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.7%
(/.f64 (exp.f64 a) (+.f64 (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
68.6%
(/.f64 (exp.f64 a) #s(literal 2 binary64))
44.2%
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
61.5%
(/.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))))))))
56.7%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))))
86.0%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
44.3%
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64))) (*.f64 a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64))) (+.f64 b #s(literal 2 binary64))))))
43.8%
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) #s(literal -1/480 binary64))))))))
44.3%
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64)))
46.5%
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
86.0%
(exp.f64 (*.f64 (log1p.f64 (exp.f64 b)) #s(literal -1 binary64)))
46.3%
#s(literal 1/2 binary64)
Compiler

Compiled 284 to 202 computations (28.9% saved)

simplify48.0ms (0.5%)

Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 b (*.f64 b (+.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) #s(literal -1/480 binary64)))))
cost-diff0
(+.f64 #s(literal -1/4 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) #s(literal -1/480 binary64))))))
cost-diff0
(*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) #s(literal -1/480 binary64)))))))
cost-diff0
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) #s(literal -1/480 binary64))))))))
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))
cost-diff0
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))
cost-diff0
(+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))))
cost-diff0
(*.f64 b #s(literal -1/4 binary64))
cost-diff0
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64)))
cost-diff0
(exp.f64 b)
cost-diff0
(log1p.f64 (exp.f64 b))
cost-diff0
(*.f64 (log1p.f64 (exp.f64 b)) #s(literal -1 binary64))
cost-diff12672
(exp.f64 (*.f64 (log1p.f64 (exp.f64 b)) #s(literal -1 binary64)))
Rules
904×fma-define
664×fma-lowering-fma.f32
664×fma-lowering-fma.f64
288×*-lowering-*.f32
288×*-lowering-*.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
028141
176122
2171121
3407121
4937121
51290121
61371121
71377121
81385121
91391121
101397121
111401121
01401121
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(exp (* (log (+ 1 (exp b))) -1))
(* (log (+ 1 (exp b))) -1)
(log (+ 1 (exp b)))
(exp b)
b
-1
1/2
(+ 1/2 (* b -1/4))
1/2
(* b -1/4)
b
-1/4
(/ 1 (+ 2 (* b (+ 1 (* b 1/2)))))
1
(+ 2 (* b (+ 1 (* b 1/2))))
2
(* b (+ 1 (* b 1/2)))
b
(+ 1 (* b 1/2))
(* b 1/2)
1/2
(+ 1/2 (* b (+ -1/4 (* b (* b (+ 1/48 (* (* b b) -1/480)))))))
1/2
(* b (+ -1/4 (* b (* b (+ 1/48 (* (* b b) -1/480))))))
b
(+ -1/4 (* b (* b (+ 1/48 (* (* b b) -1/480)))))
-1/4
(* b (* b (+ 1/48 (* (* b b) -1/480))))
(* b (+ 1/48 (* (* b b) -1/480)))
(+ 1/48 (* (* b b) -1/480))
1/48
(* (* b b) -1/480)
(* b b)
-1/480
Outputs
(exp (* (log (+ 1 (exp b))) -1))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(* (log (+ 1 (exp b))) -1)
(-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 b)))
(log (+ 1 (exp b)))
(log1p.f64 (exp.f64 b))
(exp b)
(exp.f64 b)
b
-1
#s(literal -1 binary64)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* b -1/4))
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64)))
1/2
#s(literal 1/2 binary64)
(* b -1/4)
(*.f64 b #s(literal -1/4 binary64))
b
-1/4
#s(literal -1/4 binary64)
(/ 1 (+ 2 (* b (+ 1 (* b 1/2)))))
(/.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)
(+ 2 (* b (+ 1 (* b 1/2))))
(+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))
2
#s(literal 2 binary64)
(* b (+ 1 (* b 1/2)))
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))
b
(+ 1 (* b 1/2))
(+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))
(* b 1/2)
(*.f64 b #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* b (+ -1/4 (* b (* b (+ 1/48 (* (* b b) -1/480)))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) #s(literal -1/480 binary64)))))))
1/2
#s(literal 1/2 binary64)
(* b (+ -1/4 (* b (* b (+ 1/48 (* (* b b) -1/480))))))
(*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) #s(literal -1/480 binary64))))))
b
(+ -1/4 (* b (* b (+ 1/48 (* (* b b) -1/480)))))
(+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) #s(literal -1/480 binary64)))))
-1/4
#s(literal -1/4 binary64)
(* b (* b (+ 1/48 (* (* b b) -1/480))))
(*.f64 (*.f64 b b) (+.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) #s(literal -1/480 binary64))))
(* b (+ 1/48 (* (* b b) -1/480)))
(*.f64 b (+.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) #s(literal -1/480 binary64))))
(+ 1/48 (* (* b b) -1/480))
(+.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) #s(literal -1/480 binary64)))
1/48
#s(literal 1/48 binary64)
(* (* b b) -1/480)
(*.f64 (*.f64 b b) #s(literal -1/480 binary64))
(* b b)
(*.f64 b b)
-1/480
#s(literal -1/480 binary64)

localize380.0ms (4.1%)

Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) #s(literal -1/480 binary64)))
accuracy99.9%
(*.f64 b (*.f64 b (+.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) #s(literal -1/480 binary64)))))
accuracy99.9%
(*.f64 (*.f64 b b) #s(literal -1/480 binary64))
accuracy99.7%
(*.f64 b (+.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) #s(literal -1/480 binary64))))
accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))
accuracy100.0%
(*.f64 b #s(literal 1/2 binary64))
accuracy100.0%
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))
accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))))
accuracy100.0%
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64)))
accuracy100.0%
(*.f64 b #s(literal -1/4 binary64))
accuracy100.0%
(*.f64 (log1p.f64 (exp.f64 b)) #s(literal -1 binary64))
accuracy100.0%
(exp.f64 b)
accuracy100.0%
(exp.f64 (*.f64 (log1p.f64 (exp.f64 b)) #s(literal -1 binary64)))
accuracy99.6%
(log1p.f64 (exp.f64 b))
Results
274.0ms111×5exit
62.0ms145×0valid
Compiler

Compiled 157 to 29 computations (81.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 139.0ms
backward-pass: 45.0ms (32.5% of total)
ival-mult: 28.0ms (20.2% of total)
compiled-spec: 14.0ms (10.1% of total)
ival-exp: 13.0ms (9.4% of total)
...c/correct-round.rkt:119:19: 13.0ms (9.4% of total)
ival-add: 13.0ms (9.4% of total)
ival-log: 7.0ms (5% of total)
ival-div: 3.0ms (2.2% of total)
const: 2.0ms (1.4% of total)

series69.0ms (0.7%)

Counts
18 → 216
Calls
Call 1
Inputs
#<alt (exp (* (log (+ 1 (exp b))) -1))>
#<alt (* (log (+ 1 (exp b))) -1)>
#<alt (log (+ 1 (exp b)))>
#<alt (exp b)>
#<alt (+ 1/2 (* b -1/4))>
#<alt (* b -1/4)>
#<alt (/ 1 (+ 2 (* b (+ 1 (* b 1/2)))))>
#<alt (+ 2 (* b (+ 1 (* b 1/2))))>
#<alt (* b (+ 1 (* b 1/2)))>
#<alt (+ 1 (* b 1/2))>
#<alt (+ 1/2 (* b (+ -1/4 (* b (* b (+ 1/48 (* (* b b) -1/480)))))))>
#<alt (* b (+ -1/4 (* b (* b (+ 1/48 (* (* b b) -1/480))))))>
#<alt (+ -1/4 (* b (* b (+ 1/48 (* (* b b) -1/480)))))>
#<alt (* b (* b (+ 1/48 (* (* b b) -1/480))))>
#<alt (* b 1/2)>
#<alt (* b (+ 1/48 (* (* b b) -1/480)))>
#<alt (* (* b b) -1/480)>
#<alt (+ 1/48 (* (* b b) -1/480))>
Outputs
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 b))>
#<alt (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))>
#<alt (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (* -1 (log 2))>
#<alt (+ (* -1 (log 2)) (* -1/2 b))>
#<alt (+ (* -1 (log 2)) (* b (- (* -1/8 b) 1/2)))>
#<alt (+ (* -1 (log 2)) (* b (- (* b (- (* 1/192 (pow b 2)) 1/8)) 1/2)))>
#<alt (* -1 (log (+ 1 (exp b))))>
#<alt (* -1 (log (+ 1 (exp b))))>
#<alt (* -1 (log (+ 1 (exp b))))>
#<alt (* -1 (log (+ 1 (exp b))))>
#<alt (* -1 (log (+ 1 (exp b))))>
#<alt (* -1 (log (+ 1 (exp b))))>
#<alt (* -1 (log (+ 1 (exp b))))>
#<alt (* -1 (log (+ 1 (exp b))))>
#<alt (log 2)>
#<alt (+ (log 2) (* 1/2 b))>
#<alt (+ (log 2) (* b (+ 1/2 (* 1/8 b))))>
#<alt (+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))))>
#<alt (log (+ 1 (exp b)))>
#<alt (log (+ 1 (exp b)))>
#<alt (log (+ 1 (exp b)))>
#<alt (log (+ 1 (exp b)))>
#<alt (log (+ 1 (exp b)))>
#<alt (log (+ 1 (exp b)))>
#<alt (log (+ 1 (exp b)))>
#<alt (log (+ 1 (exp b)))>
#<alt 1>
#<alt (+ 1 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 b))>
#<alt (+ 1/2 (* -1/4 b))>
#<alt (+ 1/2 (* -1/4 b))>
#<alt (* -1/4 b)>
#<alt (* b (- (* 1/2 (/ 1 b)) 1/4))>
#<alt (* b (- (* 1/2 (/ 1 b)) 1/4))>
#<alt (* b (- (* 1/2 (/ 1 b)) 1/4))>
#<alt (* -1/4 b)>
#<alt (* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))>
#<alt (* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))>
#<alt (* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 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 b))>
#<alt (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))>
#<alt (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))>
#<alt (* -1/480 (pow b 5))>
#<alt (* (pow b 5) (- (* 1/48 (/ 1 (pow b 2))) 1/480))>
#<alt (* (pow b 5) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))>
#<alt (* (pow b 5) (- (+ (* 1/48 (/ 1 (pow b 2))) (* 1/2 (/ 1 (pow b 5)))) (+ 1/480 (/ 1/4 (pow b 4)))))>
#<alt (* -1/480 (pow b 5))>
#<alt (* -1 (* (pow b 5) (- 1/480 (* 1/48 (/ 1 (pow b 2))))))>
#<alt (* -1 (* (pow b 5) (- (+ 1/480 (/ 1/4 (pow b 4))) (* 1/48 (/ 1 (pow b 2))))))>
#<alt (* -1 (* (pow b 5) (- (+ 1/480 (/ 1/4 (pow b 4))) (+ (* 1/48 (/ 1 (pow b 2))) (* 1/2 (/ 1 (pow b 5)))))))>
#<alt (* -1/4 b)>
#<alt (* b (- (* 1/48 (pow b 2)) 1/4))>
#<alt (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4))>
#<alt (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4))>
#<alt (* -1/480 (pow b 5))>
#<alt (* (pow b 5) (- (* 1/48 (/ 1 (pow b 2))) 1/480))>
#<alt (* (pow b 5) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))>
#<alt (* (pow b 5) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))>
#<alt (* -1/480 (pow b 5))>
#<alt (* -1 (* (pow b 5) (- 1/480 (* 1/48 (/ 1 (pow b 2))))))>
#<alt (* -1 (* (pow b 5) (- (+ 1/480 (/ 1/4 (pow b 4))) (* 1/48 (/ 1 (pow b 2))))))>
#<alt (* -1 (* (pow b 5) (- (+ 1/480 (/ 1/4 (pow b 4))) (* 1/48 (/ 1 (pow b 2))))))>
#<alt -1/4>
#<alt (- (* 1/48 (pow b 2)) 1/4)>
#<alt (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)>
#<alt (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)>
#<alt (* -1/480 (pow b 4))>
#<alt (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))>
#<alt (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))>
#<alt (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))>
#<alt (* -1/480 (pow b 4))>
#<alt (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))>
#<alt (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))>
#<alt (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))>
#<alt (* 1/48 (pow b 2))>
#<alt (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2))))>
#<alt (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2))))>
#<alt (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2))))>
#<alt (* -1/480 (pow b 4))>
#<alt (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))>
#<alt (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))>
#<alt (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))>
#<alt (* -1/480 (pow b 4))>
#<alt (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))>
#<alt (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))>
#<alt (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))>
#<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 (* 1/48 b)>
#<alt (* b (+ 1/48 (* -1/480 (pow b 2))))>
#<alt (* b (+ 1/48 (* -1/480 (pow b 2))))>
#<alt (* b (+ 1/48 (* -1/480 (pow b 2))))>
#<alt (* -1/480 (pow b 3))>
#<alt (* (pow b 3) (- (* 1/48 (/ 1 (pow b 2))) 1/480))>
#<alt (* (pow b 3) (- (* 1/48 (/ 1 (pow b 2))) 1/480))>
#<alt (* (pow b 3) (- (* 1/48 (/ 1 (pow b 2))) 1/480))>
#<alt (* -1/480 (pow b 3))>
#<alt (* -1 (* (pow b 3) (- 1/480 (* 1/48 (/ 1 (pow b 2))))))>
#<alt (* -1 (* (pow b 3) (- 1/480 (* 1/48 (/ 1 (pow b 2))))))>
#<alt (* -1 (* (pow b 3) (- 1/480 (* 1/48 (/ 1 (pow b 2))))))>
#<alt (* -1/480 (pow b 2))>
#<alt (* -1/480 (pow b 2))>
#<alt (* -1/480 (pow b 2))>
#<alt (* -1/480 (pow b 2))>
#<alt (* -1/480 (pow b 2))>
#<alt (* -1/480 (pow b 2))>
#<alt (* -1/480 (pow b 2))>
#<alt (* -1/480 (pow b 2))>
#<alt (* -1/480 (pow b 2))>
#<alt (* -1/480 (pow b 2))>
#<alt (* -1/480 (pow b 2))>
#<alt (* -1/480 (pow b 2))>
#<alt 1/48>
#<alt (+ 1/48 (* -1/480 (pow b 2)))>
#<alt (+ 1/48 (* -1/480 (pow b 2)))>
#<alt (+ 1/48 (* -1/480 (pow b 2)))>
#<alt (* -1/480 (pow b 2))>
#<alt (* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))>
#<alt (* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))>
#<alt (* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))>
#<alt (* -1/480 (pow b 2))>
#<alt (* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))>
#<alt (* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))>
#<alt (* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))>
Calls

54 calls:

TimeVariablePointExpression
43.0ms
b
@inf
(* (log (+ 1 (exp b))) -1)
14.0ms
b
@-inf
(* (log (+ 1 (exp b))) -1)
2.0ms
b
@-inf
(/ 1 (+ 2 (* b (+ 1 (* b 1/2)))))
0.0ms
b
@inf
(+ 1/2 (* b (+ -1/4 (* b (* b (+ 1/48 (* (* b b) -1/480)))))))
0.0ms
b
@-inf
(+ 1/2 (* b (+ -1/4 (* b (* b (+ 1/48 (* (* b b) -1/480)))))))

rewrite339.0ms (3.7%)

Algorithm
batch-egg-rewrite
Rules
3730×*-lowering-*.f32
3730×*-lowering-*.f64
3446×/-lowering-/.f32
3446×/-lowering-/.f64
1984×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
028124
1173105
21401104
08234104
Stop Event
iter limit
node limit
Counts
18 → 419
Calls
Call 1
Inputs
(exp (* (log (+ 1 (exp b))) -1))
(* (log (+ 1 (exp b))) -1)
(log (+ 1 (exp b)))
(exp b)
(+ 1/2 (* b -1/4))
(* b -1/4)
(/ 1 (+ 2 (* b (+ 1 (* b 1/2)))))
(+ 2 (* b (+ 1 (* b 1/2))))
(* b (+ 1 (* b 1/2)))
(+ 1 (* b 1/2))
(+ 1/2 (* b (+ -1/4 (* b (* b (+ 1/48 (* (* b b) -1/480)))))))
(* b (+ -1/4 (* b (* b (+ 1/48 (* (* b b) -1/480))))))
(+ -1/4 (* b (* b (+ 1/48 (* (* b b) -1/480)))))
(* b (* b (+ 1/48 (* (* b b) -1/480))))
(* b 1/2)
(* b (+ 1/48 (* (* b b) -1/480)))
(* (* b b) -1/480)
(+ 1/48 (* (* b b) -1/480))
Outputs
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (log1p.f64 (exp.f64 b))))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (/.f64 (exp.f64 b) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 2 binary64))))) (/.f64 (exp.f64 b) (-.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 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.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 (-.f64 #s(literal 1 binary64) (exp.f64 b)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) (expm1.f64 b)))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 2 binary64))))))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log1p.f64 (exp.f64 (*.f64 b #s(literal 3 binary64))))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log1p.f64 (*.f64 (exp.f64 b) (expm1.f64 b)))))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 2 binary64)))))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)))))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log1p.f64 (exp.f64 b)))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal -1/2 binary64))
(*.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 (pow.f64 (+.f64 #s(literal 1 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 b) (expm1.f64 b)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 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) (exp.f64 b))) #s(literal -1 binary64)))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(neg.f64 (log1p.f64 (exp.f64 b)))
(*.f64 (log1p.f64 (exp.f64 b)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (log1p.f64 (exp.f64 b)))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+.f64 (log1p.f64 (exp.f64 (*.f64 b #s(literal 3 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) (expm1.f64 b))))))
(+.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 2 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 b)))))
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(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64)) (-.f64 (*.f64 b (*.f64 b #s(literal -1/480 binary64))) #s(literal 1/48 binary64))) (/.f64 #s(literal 1/2304 binary64) (-.f64 (*.f64 b (*.f64 b #s(literal -1/480 binary64))) #s(literal 1/48 binary64))))
(fma.f64 b (*.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64))
(fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64))
(fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64))
(fma.f64 (*.f64 b #s(literal -1/480 binary64)) b #s(literal 1/48 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/48 binary64) (*.f64 b (*.f64 b #s(literal -1/480 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/48 binary64) (*.f64 b (*.f64 b #s(literal -1/480 binary64))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64)) (-.f64 #s(literal 1/2304 binary64) (*.f64 #s(literal -1/23040 binary64) (*.f64 b b)))) (+.f64 #s(literal 1/110592 binary64) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/110592000 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 b (*.f64 b #s(literal -1/480 binary64))) #s(literal 1/48 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64)) #s(literal 1/2304 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/48 binary64) (*.f64 b (*.f64 b #s(literal -1/480 binary64)))))))
(/.f64 (+.f64 #s(literal 1/110592 binary64) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/110592000 binary64)))) (+.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 b (*.f64 b #s(literal -1/480 binary64))) (-.f64 (*.f64 b (*.f64 b #s(literal -1/480 binary64))) #s(literal 1/48 binary64)))))
(/.f64 (+.f64 #s(literal 1/110592 binary64) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/110592000 binary64)))) (+.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64)) (-.f64 #s(literal 1/2304 binary64) (*.f64 #s(literal -1/23040 binary64) (*.f64 b b)))))
(/.f64 (-.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64))) (+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal 1/480 binary64) (*.f64 b b))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/110592 binary64) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/110592000 binary64))))) (neg.f64 (+.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 b (*.f64 b #s(literal -1/480 binary64))) (-.f64 (*.f64 b (*.f64 b #s(literal -1/480 binary64))) #s(literal 1/48 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/110592 binary64) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/110592000 binary64))))) (neg.f64 (+.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64)) (-.f64 #s(literal 1/2304 binary64) (*.f64 #s(literal -1/23040 binary64) (*.f64 b b))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64)))) (neg.f64 (+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal 1/480 binary64) (*.f64 b b)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64)) #s(literal 1/2304 binary64)) (-.f64 (*.f64 b (*.f64 b #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 b b)))) (*.f64 (+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal 1/480 binary64) (*.f64 b b))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64)))) (*.f64 (+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal 1/480 binary64) (*.f64 b b))) (+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal 1/480 binary64) (*.f64 b b)))))
(/.f64 (*.f64 (+.f64 #s(literal 1/1352605460594688 binary64) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/110592000 binary64))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/110592000 binary64))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/110592000 binary64)))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1/12230590464 binary64) (-.f64 (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/110592000 binary64))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/110592000 binary64)))) (*.f64 #s(literal -1/12230590464000 binary64) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)))))) (+.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 b (*.f64 b #s(literal -1/480 binary64))) (-.f64 (*.f64 b (*.f64 b #s(literal -1/480 binary64))) #s(literal 1/48 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1/12230590464 binary64) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/110592000 binary64))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/110592000 binary64))))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1/110592 binary64) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/110592000 binary64)))) (+.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 b (*.f64 b #s(literal -1/480 binary64))) (-.f64 (*.f64 b (*.f64 b #s(literal -1/480 binary64))) #s(literal 1/48 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1/12230590464 binary64) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/110592000 binary64))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/110592000 binary64))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1/5308416 binary64) (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64))) (*.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64))))) (+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal 1/480 binary64) (*.f64 b b)))))
(/.f64 (*.f64 (-.f64 #s(literal 1/5308416 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64))) (+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal 1/480 binary64) (*.f64 b b)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1/110592 binary64) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/110592000 binary64)))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 b (*.f64 b #s(literal -1/480 binary64))) (-.f64 (*.f64 b (*.f64 b #s(literal -1/480 binary64))) #s(literal 1/48 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal 1/480 binary64) (*.f64 b b))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64)) #s(literal 1/2304 binary64))) (neg.f64 (-.f64 (*.f64 b (*.f64 b #s(literal -1/480 binary64))) #s(literal 1/48 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2304 binary64) (+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal 1/480 binary64) (*.f64 b b)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64)) (+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal 1/480 binary64) (*.f64 b b)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 1/2304 binary64) (+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal 1/480 binary64) (*.f64 b b)))) (/.f64 #s(literal 1/2304 binary64) (+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal 1/480 binary64) (*.f64 b b))))) (+.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64)) (+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal 1/480 binary64) (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64)) (+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal 1/480 binary64) (*.f64 b b))))) (*.f64 (/.f64 #s(literal 1/2304 binary64) (+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal 1/480 binary64) (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64)) (+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal 1/480 binary64) (*.f64 b b))))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/48 binary64) (*.f64 b (*.f64 b #s(literal -1/480 binary64))))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1/110592 binary64) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/110592000 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 b (*.f64 b #s(literal -1/480 binary64))) (-.f64 (*.f64 b (*.f64 b #s(literal -1/480 binary64))) #s(literal 1/48 binary64))))))
(*.f64 (-.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal 1/480 binary64) (*.f64 b b)))))

simplify252.0ms (2.7%)

Algorithm
egg-herbie
Rules
3324×*-lowering-*.f32
3324×*-lowering-*.f64
1378×+-lowering-+.f64
1378×+-lowering-+.f32
1310×sum3-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01651489
14791270
213001248
349181248
082091248
Stop Event
iter limit
node limit
Counts
216 → 216
Calls
Call 1
Inputs
1/2
(+ 1/2 (* -1/4 b))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(* -1 (log 2))
(+ (* -1 (log 2)) (* -1/2 b))
(+ (* -1 (log 2)) (* b (- (* -1/8 b) 1/2)))
(+ (* -1 (log 2)) (* b (- (* b (- (* 1/192 (pow b 2)) 1/8)) 1/2)))
(* -1 (log (+ 1 (exp b))))
(* -1 (log (+ 1 (exp b))))
(* -1 (log (+ 1 (exp b))))
(* -1 (log (+ 1 (exp b))))
(* -1 (log (+ 1 (exp b))))
(* -1 (log (+ 1 (exp b))))
(* -1 (log (+ 1 (exp b))))
(* -1 (log (+ 1 (exp b))))
(log 2)
(+ (log 2) (* 1/2 b))
(+ (log 2) (* b (+ 1/2 (* 1/8 b))))
(+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))))
(log (+ 1 (exp b)))
(log (+ 1 (exp b)))
(log (+ 1 (exp b)))
(log (+ 1 (exp b)))
(log (+ 1 (exp b)))
(log (+ 1 (exp b)))
(log (+ 1 (exp b)))
(log (+ 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 b))
(+ 1/2 (* -1/4 b))
(+ 1/2 (* -1/4 b))
(* -1/4 b)
(* b (- (* 1/2 (/ 1 b)) 1/4))
(* b (- (* 1/2 (/ 1 b)) 1/4))
(* b (- (* 1/2 (/ 1 b)) 1/4))
(* -1/4 b)
(* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))
(* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))
(* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 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 b))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
(* -1/480 (pow b 5))
(* (pow b 5) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* (pow b 5) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))
(* (pow b 5) (- (+ (* 1/48 (/ 1 (pow b 2))) (* 1/2 (/ 1 (pow b 5)))) (+ 1/480 (/ 1/4 (pow b 4)))))
(* -1/480 (pow b 5))
(* -1 (* (pow b 5) (- 1/480 (* 1/48 (/ 1 (pow b 2))))))
(* -1 (* (pow b 5) (- (+ 1/480 (/ 1/4 (pow b 4))) (* 1/48 (/ 1 (pow b 2))))))
(* -1 (* (pow b 5) (- (+ 1/480 (/ 1/4 (pow b 4))) (+ (* 1/48 (/ 1 (pow b 2))) (* 1/2 (/ 1 (pow b 5)))))))
(* -1/4 b)
(* b (- (* 1/48 (pow b 2)) 1/4))
(* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4))
(* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4))
(* -1/480 (pow b 5))
(* (pow b 5) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* (pow b 5) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))
(* (pow b 5) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))
(* -1/480 (pow b 5))
(* -1 (* (pow b 5) (- 1/480 (* 1/48 (/ 1 (pow b 2))))))
(* -1 (* (pow b 5) (- (+ 1/480 (/ 1/4 (pow b 4))) (* 1/48 (/ 1 (pow b 2))))))
(* -1 (* (pow b 5) (- (+ 1/480 (/ 1/4 (pow b 4))) (* 1/48 (/ 1 (pow b 2))))))
-1/4
(- (* 1/48 (pow b 2)) 1/4)
(- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)
(- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)
(* -1/480 (pow b 4))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))
(* -1/480 (pow b 4))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))
(* 1/48 (pow b 2))
(* (pow b 2) (+ 1/48 (* -1/480 (pow b 2))))
(* (pow b 2) (+ 1/48 (* -1/480 (pow b 2))))
(* (pow b 2) (+ 1/48 (* -1/480 (pow b 2))))
(* -1/480 (pow b 4))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* -1/480 (pow b 4))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* 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)
(* 1/48 b)
(* b (+ 1/48 (* -1/480 (pow b 2))))
(* b (+ 1/48 (* -1/480 (pow b 2))))
(* b (+ 1/48 (* -1/480 (pow b 2))))
(* -1/480 (pow b 3))
(* (pow b 3) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* (pow b 3) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* (pow b 3) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* -1/480 (pow b 3))
(* -1 (* (pow b 3) (- 1/480 (* 1/48 (/ 1 (pow b 2))))))
(* -1 (* (pow b 3) (- 1/480 (* 1/48 (/ 1 (pow b 2))))))
(* -1 (* (pow b 3) (- 1/480 (* 1/48 (/ 1 (pow b 2))))))
(* -1/480 (pow b 2))
(* -1/480 (pow b 2))
(* -1/480 (pow b 2))
(* -1/480 (pow b 2))
(* -1/480 (pow b 2))
(* -1/480 (pow b 2))
(* -1/480 (pow b 2))
(* -1/480 (pow b 2))
(* -1/480 (pow b 2))
(* -1/480 (pow b 2))
(* -1/480 (pow b 2))
(* -1/480 (pow b 2))
1/48
(+ 1/48 (* -1/480 (pow b 2)))
(+ 1/48 (* -1/480 (pow b 2)))
(+ 1/48 (* -1/480 (pow b 2)))
(* -1/480 (pow b 2))
(* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* -1/480 (pow b 2))
(* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 b))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 b (*.f64 b #s(literal 1/48 binary64))))))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
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(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal -1/480 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 b b))))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 #s(literal 1/48 binary64) (*.f64 b b)) (+.f64 #s(literal -1/480 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 #s(literal 1/48 binary64) (*.f64 b b)) (+.f64 #s(literal -1/480 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))))
(* 1/48 (pow b 2))
(*.f64 b (*.f64 b #s(literal 1/48 binary64)))
(* (pow b 2) (+ 1/48 (* -1/480 (pow b 2))))
(*.f64 (*.f64 b b) (+.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) #s(literal -1/480 binary64))))
(* (pow b 2) (+ 1/48 (* -1/480 (pow b 2))))
(*.f64 (*.f64 b b) (+.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) #s(literal -1/480 binary64))))
(* (pow b 2) (+ 1/48 (* -1/480 (pow b 2))))
(*.f64 (*.f64 b b) (+.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) #s(literal -1/480 binary64))))
(* -1/480 (pow b 4))
(*.f64 #s(literal -1/480 binary64) (*.f64 b (*.f64 b (*.f64 b b))))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal -1/480 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 b b))))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal -1/480 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 b b))))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal -1/480 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 b b))))
(* -1/480 (pow b 4))
(*.f64 #s(literal -1/480 binary64) (*.f64 b (*.f64 b (*.f64 b b))))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal -1/480 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 b b))))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal -1/480 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 b b))))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal -1/480 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 b b))))
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* 1/48 b)
(*.f64 b #s(literal 1/48 binary64))
(* b (+ 1/48 (* -1/480 (pow b 2))))
(*.f64 b (+.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) #s(literal -1/480 binary64))))
(* b (+ 1/48 (* -1/480 (pow b 2))))
(*.f64 b (+.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) #s(literal -1/480 binary64))))
(* b (+ 1/48 (* -1/480 (pow b 2))))
(*.f64 b (+.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) #s(literal -1/480 binary64))))
(* -1/480 (pow b 3))
(*.f64 #s(literal -1/480 binary64) (*.f64 b (*.f64 b b)))
(* (pow b 3) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(*.f64 b (+.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) #s(literal -1/480 binary64))))
(* (pow b 3) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(*.f64 b (+.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) #s(literal -1/480 binary64))))
(* (pow b 3) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(*.f64 b (+.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) #s(literal -1/480 binary64))))
(* -1/480 (pow b 3))
(*.f64 #s(literal -1/480 binary64) (*.f64 b (*.f64 b b)))
(* -1 (* (pow b 3) (- 1/480 (* 1/48 (/ 1 (pow b 2))))))
(*.f64 b (+.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) #s(literal -1/480 binary64))))
(* -1 (* (pow b 3) (- 1/480 (* 1/48 (/ 1 (pow b 2))))))
(*.f64 b (+.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) #s(literal -1/480 binary64))))
(* -1 (* (pow b 3) (- 1/480 (* 1/48 (/ 1 (pow b 2))))))
(*.f64 b (+.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) #s(literal -1/480 binary64))))
(* -1/480 (pow b 2))
(*.f64 (*.f64 b b) #s(literal -1/480 binary64))
(* -1/480 (pow b 2))
(*.f64 (*.f64 b b) #s(literal -1/480 binary64))
(* -1/480 (pow b 2))
(*.f64 (*.f64 b b) #s(literal -1/480 binary64))
(* -1/480 (pow b 2))
(*.f64 (*.f64 b b) #s(literal -1/480 binary64))
(* -1/480 (pow b 2))
(*.f64 (*.f64 b b) #s(literal -1/480 binary64))
(* -1/480 (pow b 2))
(*.f64 (*.f64 b b) #s(literal -1/480 binary64))
(* -1/480 (pow b 2))
(*.f64 (*.f64 b b) #s(literal -1/480 binary64))
(* -1/480 (pow b 2))
(*.f64 (*.f64 b b) #s(literal -1/480 binary64))
(* -1/480 (pow b 2))
(*.f64 (*.f64 b b) #s(literal -1/480 binary64))
(* -1/480 (pow b 2))
(*.f64 (*.f64 b b) #s(literal -1/480 binary64))
(* -1/480 (pow b 2))
(*.f64 (*.f64 b b) #s(literal -1/480 binary64))
(* -1/480 (pow b 2))
(*.f64 (*.f64 b b) #s(literal -1/480 binary64))
1/48
#s(literal 1/48 binary64)
(+ 1/48 (* -1/480 (pow b 2)))
(+.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) #s(literal -1/480 binary64)))
(+ 1/48 (* -1/480 (pow b 2)))
(+.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) #s(literal -1/480 binary64)))
(+ 1/48 (* -1/480 (pow b 2)))
(+.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) #s(literal -1/480 binary64)))
(* -1/480 (pow b 2))
(*.f64 (*.f64 b b) #s(literal -1/480 binary64))
(* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(+.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) #s(literal -1/480 binary64)))
(* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(+.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) #s(literal -1/480 binary64)))
(* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(+.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) #s(literal -1/480 binary64)))
(* -1/480 (pow b 2))
(*.f64 (*.f64 b b) #s(literal -1/480 binary64))
(* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(+.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) #s(literal -1/480 binary64)))
(* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(+.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) #s(literal -1/480 binary64)))
(* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(+.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) #s(literal -1/480 binary64)))

eval78.0ms (0.8%)

Compiler

Compiled 18247 to 2057 computations (88.7% saved)

prune72.0ms (0.8%)

Pruning

18 alts after pruning (15 fresh and 3 done)

PrunedKeptTotal
New62510635
Fresh156
Picked325
Done011
Total62918647
Accuracy
99.7%
Counts
647 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.9%
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))) (-.f64 #s(literal 4 binary64) (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))))))
44.6%
(/.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))))))
15.3%
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b)) (*.f64 b b))
77.7%
(/.f64 (exp.f64 a) (+.f64 (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
68.6%
(/.f64 (exp.f64 a) #s(literal 2 binary64))
16.2%
(/.f64 #s(literal 2 binary64) (*.f64 b b))
44.1%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))) (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))))) (-.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))))))
43.2%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal 1/64 binary64)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal 1/64 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 b (*.f64 b b))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b #s(literal 1/2 binary64)) (-.f64 (*.f64 b #s(literal 1/2 binary64)) #s(literal 1 binary64)))))))))
61.5%
(/.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))))))))
56.1%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (*.f64 #s(literal 1/2 binary64) b))))
86.0%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
44.3%
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64))) (*.f64 a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64))) (+.f64 b #s(literal 2 binary64))))))
43.1%
(+.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 #s(literal -1/480 binary64) (*.f64 b (*.f64 b (*.f64 b b))))))
44.3%
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64)))
46.5%
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
4.0%
(*.f64 #s(literal -1/4 binary64) b)
43.6%
(exp.f64 (-.f64 (*.f64 b (+.f64 #s(literal -1/2 binary64) (*.f64 b (+.f64 #s(literal -1/8 binary64) (*.f64 b (*.f64 b #s(literal 1/192 binary64))))))) (log.f64 #s(literal 2 binary64))))
46.3%
#s(literal 1/2 binary64)
Compiler

Compiled 740 to 379 computations (48.8% saved)

simplify188.0ms (2%)

Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))
cost-diff0
(*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
cost-diff0
(+.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
cost-diff0
(/.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))))))
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))
cost-diff0
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))
cost-diff0
(+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
cost-diff0
(*.f64 #s(literal 1/2 binary64) b)
cost-diff0
(*.f64 b (*.f64 #s(literal 1/2 binary64) b))
cost-diff0
(+.f64 #s(literal 2 binary64) (*.f64 b (*.f64 #s(literal 1/2 binary64) b)))
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (*.f64 #s(literal 1/2 binary64) b))))
cost-diff0
(*.f64 #s(literal -1/4 binary64) b)
cost-diff0
(+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))))
cost-diff0
(+.f64 (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))
cost-diff0
(exp.f64 a)
cost-diff0
(/.f64 (exp.f64 a) (+.f64 (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
Rules
2484×*-lowering-*.f32
2484×*-lowering-*.f64
2194×+-lowering-+.f64
2194×+-lowering-+.f32
2044×fma-lowering-fma.f32
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
039392
1106294
2323274
31252274
45766273
56805270
67506270
08251270
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (exp a) (+ (+ 2 (* a (+ 1 (* a 1/2)))) (* b (+ 1 (* b (+ 1/2 (* b 1/6)))))))
(exp a)
a
(+ (+ 2 (* a (+ 1 (* a 1/2)))) (* b (+ 1 (* b (+ 1/2 (* b 1/6))))))
(+ 2 (* a (+ 1 (* a 1/2))))
2
(* a (+ 1 (* a 1/2)))
(+ 1 (* a 1/2))
1
(* a 1/2)
1/2
(* b (+ 1 (* b (+ 1/2 (* b 1/6)))))
b
(+ 1 (* b (+ 1/2 (* b 1/6))))
(* b (+ 1/2 (* b 1/6)))
(+ 1/2 (* b 1/6))
(* b 1/6)
1/6
(* -1/4 b)
-1/4
b
(/ 1 (+ 2 (* b (* 1/2 b))))
1
(+ 2 (* b (* 1/2 b)))
2
(* b (* 1/2 b))
b
(* 1/2 b)
1/2
(/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* b 1/6)))))))
1
(+ 2 (* b (+ 1 (* b (+ 1/2 (* b 1/6))))))
2
(* b (+ 1 (* b (+ 1/2 (* b 1/6)))))
b
(+ 1 (* b (+ 1/2 (* b 1/6))))
(* b (+ 1/2 (* b 1/6)))
(+ 1/2 (* b 1/6))
1/2
(* b 1/6)
1/6
(/ (+ 4 (* (* b (+ 1 (* b 1/2))) (- (* b (+ 1 (* b 1/2))) 2))) (+ 8 (* (* b (+ 1 (* b 1/2))) (* b (* (+ 1 (* b 1/2)) (* b (+ 1 (* b 1/2))))))))
(+ 4 (* (* b (+ 1 (* b 1/2))) (- (* b (+ 1 (* b 1/2))) 2)))
4
(* (* b (+ 1 (* b 1/2))) (- (* b (+ 1 (* b 1/2))) 2))
(* b (+ 1 (* b 1/2)))
b
(+ 1 (* b 1/2))
1
(* b 1/2)
1/2
(- (* b (+ 1 (* b 1/2))) 2)
2
(+ 8 (* (* b (+ 1 (* b 1/2))) (* b (* (+ 1 (* b 1/2)) (* b (+ 1 (* b 1/2)))))))
8
(* (* b (+ 1 (* b 1/2))) (* b (* (+ 1 (* b 1/2)) (* b (+ 1 (* b 1/2))))))
(* b (* (+ 1 (* b 1/2)) (* b (+ 1 (* b 1/2)))))
(* (+ 1 (* b 1/2)) (* b (+ 1 (* b 1/2))))
Outputs
(/ (exp a) (+ (+ 2 (* a (+ 1 (* a 1/2)))) (* b (+ 1 (* b (+ 1/2 (* b 1/6)))))))
(/.f64 (exp.f64 a) (+.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 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)))))))))
(exp a)
(exp.f64 a)
a
(+ (+ 2 (* a (+ 1 (* a 1/2)))) (* b (+ 1 (* b (+ 1/2 (* b 1/6))))))
(+.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 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))))))))
(+ 2 (* a (+ 1 (* a 1/2))))
(+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))))
2
#s(literal 2 binary64)
(* 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)))
1
#s(literal 1 binary64)
(* a 1/2)
(*.f64 a #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(* b (+ 1 (* b (+ 1/2 (* b 1/6)))))
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))
b
(+ 1 (* b (+ 1/2 (* b 1/6))))
(+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))
(* b (+ 1/2 (* b 1/6)))
(*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))
(+ 1/2 (* b 1/6))
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))
(* b 1/6)
(*.f64 b #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
(* -1/4 b)
(*.f64 b #s(literal -1/4 binary64))
-1/4
#s(literal -1/4 binary64)
b
(/ 1 (+ 2 (* b (* 1/2 b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 b b))))
1
#s(literal 1 binary64)
(+ 2 (* b (* 1/2 b)))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 b b)))
2
#s(literal 2 binary64)
(* b (* 1/2 b))
(*.f64 #s(literal 1/2 binary64) (*.f64 b b))
b
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
1/2
#s(literal 1/2 binary64)
(/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* b 1/6)))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
1
#s(literal 1 binary64)
(+ 2 (* b (+ 1 (* b (+ 1/2 (* b 1/6))))))
(+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))
2
#s(literal 2 binary64)
(* b (+ 1 (* b (+ 1/2 (* b 1/6)))))
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))
b
(+ 1 (* b (+ 1/2 (* b 1/6))))
(+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))
(* b (+ 1/2 (* b 1/6)))
(*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))
(+ 1/2 (* b 1/6))
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))
1/2
#s(literal 1/2 binary64)
(* b 1/6)
(*.f64 b #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
(/ (+ 4 (* (* b (+ 1 (* b 1/2))) (- (* b (+ 1 (* b 1/2))) 2))) (+ 8 (* (* b (+ 1 (* b 1/2))) (* b (* (+ 1 (* b 1/2)) (* b (+ 1 (* b 1/2))))))))
(/.f64 (+.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 8 binary64) (*.f64 b (*.f64 b (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))))))
(+ 4 (* (* b (+ 1 (* b 1/2))) (- (* b (+ 1 (* b 1/2))) 2)))
(+.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))))
4
#s(literal 4 binary64)
(* (* b (+ 1 (* b 1/2))) (- (* b (+ 1 (* b 1/2))) 2))
(*.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)))
(* b (+ 1 (* b 1/2)))
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))
b
(+ 1 (* b 1/2))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))
1
#s(literal 1 binary64)
(* b 1/2)
(*.f64 #s(literal 1/2 binary64) b)
1/2
#s(literal 1/2 binary64)
(- (* b (+ 1 (* b 1/2))) 2)
(+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) #s(literal -2 binary64))
2
#s(literal 2 binary64)
(+ 8 (* (* b (+ 1 (* b 1/2))) (* b (* (+ 1 (* b 1/2)) (* b (+ 1 (* b 1/2)))))))
(+.f64 #s(literal 8 binary64) (*.f64 b (*.f64 b (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))))))
8
#s(literal 8 binary64)
(* (* b (+ 1 (* b 1/2))) (* b (* (+ 1 (* b 1/2)) (* b (+ 1 (* b 1/2))))))
(*.f64 b (*.f64 b (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))))
(* b (* (+ 1 (* b 1/2)) (* b (+ 1 (* b 1/2)))))
(*.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))))
(* (+ 1 (* b 1/2)) (* b (+ 1 (* b 1/2))))
(*.f64 (+.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))))

localize322.0ms (3.5%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
accuracy99.9%
(*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))))
accuracy99.9%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))
accuracy62.8%
(/.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))))))
accuracy99.9%
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))
accuracy99.9%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
accuracy99.9%
(*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))
accuracy99.5%
(*.f64 b #s(literal 1/6 binary64))
accuracy100.0%
(+.f64 #s(literal 2 binary64) (*.f64 b (*.f64 #s(literal 1/2 binary64) b)))
accuracy100.0%
(*.f64 b (*.f64 #s(literal 1/2 binary64) b))
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) b)
accuracy99.7%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (*.f64 #s(literal 1/2 binary64) b))))
accuracy100.0%
(*.f64 #s(literal -1/4 binary64) b)
accuracy99.9%
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))
accuracy99.9%
(/.f64 (exp.f64 a) (+.f64 (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
accuracy99.9%
(*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))
accuracy99.5%
(*.f64 b #s(literal 1/6 binary64))
Results
250.0ms256×0valid
Compiler

Compiled 403 to 40 computations (90.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 57.0ms
ival-mult: 22.0ms (38.3% of total)
ival-add: 15.0ms (26.1% of total)
ival-div: 11.0ms (19.2% of total)
...c/correct-round.rkt:119:19: 4.0ms (7% of total)
ival-exp: 2.0ms (3.5% of total)
ival-sub: 1.0ms (1.7% of total)
const: 1.0ms (1.7% of total)
backward-pass: 0.0ms (0% of total)

series14.0ms (0.2%)

Counts
21 → 276
Calls
Call 1
Inputs
#<alt (/ (exp a) (+ (+ 2 (* a (+ 1 (* a 1/2)))) (* b (+ 1 (* b (+ 1/2 (* b 1/6)))))))>
#<alt (exp a)>
#<alt (+ (+ 2 (* a (+ 1 (* a 1/2)))) (* b (+ 1 (* b (+ 1/2 (* b 1/6))))))>
#<alt (+ 2 (* a (+ 1 (* a 1/2))))>
#<alt (* -1/4 b)>
#<alt (/ 1 (+ 2 (* b (* 1/2 b))))>
#<alt (+ 2 (* b (* 1/2 b)))>
#<alt (* b (* 1/2 b))>
#<alt (* 1/2 b)>
#<alt (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* b 1/6)))))))>
#<alt (+ 2 (* b (+ 1 (* b (+ 1/2 (* b 1/6))))))>
#<alt (* b (+ 1 (* b (+ 1/2 (* b 1/6)))))>
#<alt (+ 1 (* b (+ 1/2 (* b 1/6))))>
#<alt (/ (+ 4 (* (* b (+ 1 (* b 1/2))) (- (* b (+ 1 (* b 1/2))) 2))) (+ 8 (* (* b (+ 1 (* b 1/2))) (* b (* (+ 1 (* b 1/2)) (* b (+ 1 (* b 1/2))))))))>
#<alt (+ 4 (* (* b (+ 1 (* b 1/2))) (- (* b (+ 1 (* b 1/2))) 2)))>
#<alt (* (* b (+ 1 (* b 1/2))) (- (* b (+ 1 (* b 1/2))) 2))>
#<alt (* b (+ 1 (* b 1/2)))>
#<alt (* b 1/6)>
#<alt (* b (+ 1/2 (* b 1/6)))>
#<alt (* (+ 1 (* b 1/2)) (* b (+ 1 (* b 1/2))))>
#<alt (* (* b (+ 1 (* b 1/2))) (* b (* (+ 1 (* b 1/2)) (* b (+ 1 (* b 1/2))))))>
Outputs
#<alt (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))>
#<alt (+ (* a (- (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 2)))) (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))>
#<alt (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))) (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 3))) (* 3/2 (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 2))))) (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))) (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 2)))) (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))>
#<alt (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))) (* 3/2 (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 3)))) (+ (* 1/2 (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 2))) (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))) (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 4)))))) (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 3)))) (* 3/2 (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 2))))) (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))) (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 2)))) (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 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) (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))) (pow a 2))) (* 2 (exp a))) (* 4 (/ (exp a) a))) (pow a 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* -8 (* (exp a) (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))) (* -2 (+ (* -8 (exp a)) (* 4 (* (exp a) (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))))) (pow a 3))) (* 2 (exp a))) (+ (* -8 (/ (exp a) (pow a 2))) (+ (* 4 (/ (exp a) a)) (* 4 (/ (* (exp a) (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 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) (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) a))) (* -4 (exp a))) a)) (* 2 (exp a))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (+ (* -8 (exp a)) (* 4 (* (exp a) (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))) a)) (* 8 (/ (* (exp a) (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) a))) (+ (* -8 (exp a)) (* 4 (* (exp a) (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 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 (* 6 (/ (exp a) (pow b 3)))>
#<alt (/ (+ (* -18 (/ (exp a) b)) (* 6 (exp a))) (pow b 3))>
#<alt (/ (- (+ (* -1 (/ (+ (* -54 (exp a)) (* 36 (exp a))) (pow b 2))) (* 6 (exp a))) (* 18 (/ (exp a) b))) (pow b 3))>
#<alt (/ (- (+ (* -1 (/ (+ (* -108 (exp a)) (+ (* -3 (+ (* -54 (exp a)) (* 36 (exp a)))) (* 36 (* (exp a) (+ 2 (* a (+ 1 (* 1/2 a)))))))) (pow b 3))) (* 6 (exp a))) (+ (* -54 (/ (exp a) (pow b 2))) (+ (* 18 (/ (exp a) b)) (* 36 (/ (exp a) (pow b 2)))))) (pow b 3))>
#<alt (* 6 (/ (exp a) (pow b 3)))>
#<alt (* -1 (/ (+ (* -6 (exp a)) (* 18 (/ (exp a) b))) (pow b 3)))>
#<alt (* -1 (/ (+ (* -6 (exp a)) (* -1 (/ (- (+ (* -36 (/ (exp a) b)) (* 54 (/ (exp a) b))) (* 18 (exp a))) b))) (pow b 3)))>
#<alt (* -1 (/ (+ (* -6 (exp a)) (* -1 (/ (- (* -1 (/ (- (+ (* -108 (/ (exp a) b)) (+ (* 3 (/ (+ (* -36 (exp a)) (* 54 (exp a))) b)) (* 36 (/ (* (exp a) (+ 2 (* a (+ 1 (* 1/2 a))))) b)))) (+ (* -36 (exp a)) (* 54 (exp a)))) b)) (* 18 (exp a))) b))) (pow b 3)))>
#<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 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))>
#<alt (+ 2 (+ a (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))>
#<alt (+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))>
#<alt (+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))>
#<alt (* 1/2 (pow a 2))>
#<alt (* (pow a 2) (+ 1/2 (/ 1 a)))>
#<alt (* (pow a 2) (+ 1/2 (+ (/ 1 a) (+ (/ 2 (pow a 2)) (/ (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))) (pow a 2))))))>
#<alt (* (pow a 2) (+ 1/2 (+ (/ 1 a) (+ (/ 2 (pow a 2)) (/ (* b (+ 1 (* b (+ 1/2 (* 1/6 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 (/ (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) a)) 1) a))))>
#<alt (* (pow a 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) a)) 1) 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 (* 1/6 (pow b 3))>
#<alt (* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))>
#<alt (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (pow b 3))) (/ (* a (+ 1 (* 1/2 a))) (pow b 3)))))))>
#<alt (* 1/6 (pow b 3))>
#<alt (* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))>
#<alt (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 2 (* a (+ 1 (* 1/2 a)))) b)) 1) b))) b)) 1/6)))>
#<alt 2>
#<alt (+ 2 a)>
#<alt (+ 2 (* a (+ 1 (* 1/2 a))))>
#<alt (+ 2 (* 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) (/ 2 (pow a 2)))))>
#<alt (* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 2 (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) (/ 2 (pow a 2)))))>
#<alt (* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 2 (pow a 2)))))>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt 1/2>
#<alt (+ 1/2 (* -1/8 (pow b 2)))>
#<alt (+ 1/2 (* (pow b 2) (- (* 1/32 (pow b 2)) 1/8)))>
#<alt (+ 1/2 (* (pow b 2) (- (* (pow b 2) (+ 1/32 (* -1/128 (pow b 2)))) 1/8)))>
#<alt (/ 2 (pow b 2))>
#<alt (/ (- 2 (* 8 (/ 1 (pow b 2)))) (pow b 2))>
#<alt (/ (- (+ 2 (/ 32 (pow b 4))) (* 8 (/ 1 (pow b 2)))) (pow b 2))>
#<alt (/ (- (+ 2 (/ 32 (pow b 4))) (+ (* 8 (/ 1 (pow b 2))) (* 128 (/ 1 (pow b 6))))) (pow b 2))>
#<alt (/ 2 (pow b 2))>
#<alt (/ (- 2 (* 8 (/ 1 (pow b 2)))) (pow b 2))>
#<alt (/ (- (+ 2 (/ 32 (pow b 4))) (* 8 (/ 1 (pow b 2)))) (pow b 2))>
#<alt (/ (- (+ 2 (/ 32 (pow b 4))) (+ (* 8 (/ 1 (pow b 2))) (* 128 (/ 1 (pow b 6))))) (pow b 2))>
#<alt 2>
#<alt (+ 2 (* 1/2 (pow b 2)))>
#<alt (+ 2 (* 1/2 (pow b 2)))>
#<alt (+ 2 (* 1/2 (pow b 2)))>
#<alt (* 1/2 (pow b 2))>
#<alt (* (pow b 2) (+ 1/2 (* 2 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1/2 (* 2 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1/2 (* 2 (/ 1 (pow b 2)))))>
#<alt (* 1/2 (pow b 2))>
#<alt (* (pow b 2) (+ 1/2 (* 2 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1/2 (* 2 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1/2 (* 2 (/ 1 (pow b 2)))))>
#<alt (* 1/2 (pow b 2))>
#<alt (* 1/2 (pow b 2))>
#<alt (* 1/2 (pow b 2))>
#<alt (* 1/2 (pow b 2))>
#<alt (* 1/2 (pow b 2))>
#<alt (* 1/2 (pow b 2))>
#<alt (* 1/2 (pow b 2))>
#<alt (* 1/2 (pow b 2))>
#<alt (* 1/2 (pow b 2))>
#<alt (* 1/2 (pow b 2))>
#<alt (* 1/2 (pow b 2))>
#<alt (* 1/2 (pow b 2))>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 b))>
#<alt (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))>
#<alt (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* 1/96 b))) 1/4)))>
#<alt (/ 6 (pow b 3))>
#<alt (/ (- 6 (* 18 (/ 1 b))) (pow b 3))>
#<alt (/ (- (+ 6 (/ 18 (pow b 2))) (* 18 (/ 1 b))) (pow b 3))>
#<alt (/ (- (+ 6 (/ 18 (pow b 2))) (+ (* 18 (/ 1 b)) (* 18 (/ 1 (pow b 3))))) (pow b 3))>
#<alt (/ 6 (pow b 3))>
#<alt (* -1 (/ (- (* 18 (/ 1 b)) 6) (pow b 3)))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 18 (/ 1 b)) 18) b)) 6) (pow b 3)))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 18 (/ 1 b)) 18) b)) 18) b)) 6) (pow b 3)))>
#<alt 2>
#<alt (+ 2 b)>
#<alt (+ 2 (* b (+ 1 (* 1/2 b))))>
#<alt (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))>
#<alt (* 1/6 (pow b 3))>
#<alt (* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))>
#<alt (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (* 2 (/ 1 (pow b 3)))))))>
#<alt (* 1/6 (pow b 3))>
#<alt (* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))>
#<alt (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))) b)) 1/6)))>
#<alt b>
#<alt (* b (+ 1 (* 1/2 b)))>
#<alt (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))>
#<alt (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))>
#<alt (* 1/6 (pow b 3))>
#<alt (* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))>
#<alt (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))>
#<alt (* 1/6 (pow b 3))>
#<alt (* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))>
#<alt (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))>
#<alt 1>
#<alt (+ 1 (* 1/2 b))>
#<alt (+ 1 (* b (+ 1/2 (* 1/6 b))))>
#<alt (+ 1 (* b (+ 1/2 (* 1/6 b))))>
#<alt (* 1/6 (pow b 2))>
#<alt (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))>
#<alt (* 1/6 (pow b 2))>
#<alt (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))>
#<alt 1/2>
#<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 4>
#<alt (+ 4 (* -2 b))>
#<alt (+ 4 (* b (- (pow b 2) 2)))>
#<alt (+ 4 (* b (- (* (pow b 2) (+ 1 (* 1/4 b))) 2)))>
#<alt (* 1/4 (pow b 4))>
#<alt (* (pow b 4) (+ 1/4 (/ 1 b)))>
#<alt (* (pow b 4) (- (+ 1/4 (/ 1 b)) (/ 2 (pow b 3))))>
#<alt (* (pow b 4) (- (+ 1/4 (+ (/ 1 b) (* 4 (/ 1 (pow b 4))))) (/ 2 (pow b 3))))>
#<alt (* 1/4 (pow b 4))>
#<alt (* (pow b 4) (+ 1/4 (/ 1 b)))>
#<alt (* (pow b 4) (+ 1/4 (* -1 (/ (- (* 2 (/ 1 (pow b 2))) 1) b))))>
#<alt (* (pow b 4) (+ 1/4 (* -1 (/ (- (* 2 (/ 1 (pow b 2))) (+ 1 (/ 4 (pow b 3)))) b))))>
#<alt (* -2 b)>
#<alt (* b (- (pow b 2) 2))>
#<alt (* b (- (* (pow b 2) (+ 1 (* 1/4 b))) 2))>
#<alt (* b (- (* (pow b 2) (+ 1 (* 1/4 b))) 2))>
#<alt (* 1/4 (pow b 4))>
#<alt (* (pow b 4) (+ 1/4 (/ 1 b)))>
#<alt (* (pow b 4) (- (+ 1/4 (/ 1 b)) (/ 2 (pow b 3))))>
#<alt (* (pow b 4) (- (+ 1/4 (/ 1 b)) (/ 2 (pow b 3))))>
#<alt (* 1/4 (pow b 4))>
#<alt (* (pow b 4) (+ 1/4 (/ 1 b)))>
#<alt (* (pow b 4) (+ 1/4 (* -1 (/ (- (* 2 (/ 1 (pow b 2))) 1) b))))>
#<alt (* (pow b 4) (+ 1/4 (* -1 (/ (- (* 2 (/ 1 (pow b 2))) 1) b))))>
#<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 (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt (* 1/2 b)>
#<alt (* b (+ 1/2 (* 1/6 b)))>
#<alt (* b (+ 1/2 (* 1/6 b)))>
#<alt (* b (+ 1/2 (* 1/6 b)))>
#<alt (* 1/6 (pow b 2))>
#<alt (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* 1/6 (pow b 2))>
#<alt (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt b>
#<alt (* b (+ 1 b))>
#<alt (* b (+ 1 (* b (+ 1 (* 1/4 b)))))>
#<alt (* b (+ 1 (* b (+ 1 (* 1/4 b)))))>
#<alt (* 1/4 (pow b 3))>
#<alt (* (pow b 3) (+ 1/4 (/ 1 b)))>
#<alt (* (pow b 3) (+ 1/4 (+ (/ 1 b) (/ 1 (pow b 2)))))>
#<alt (* (pow b 3) (+ 1/4 (+ (/ 1 b) (/ 1 (pow b 2)))))>
#<alt (* 1/4 (pow b 3))>
#<alt (* (pow b 3) (+ 1/4 (/ 1 b)))>
#<alt (* -1 (* (pow b 3) (- (* -1 (/ (+ 1 (/ 1 b)) b)) 1/4)))>
#<alt (* -1 (* (pow b 3) (- (* -1 (/ (+ 1 (/ 1 b)) b)) 1/4)))>
#<alt (pow b 3)>
#<alt (* (pow b 3) (+ 1 (* 3/2 b)))>
#<alt (* (pow b 3) (+ 1 (* b (+ 3/2 (* 3/4 b)))))>
#<alt (* (pow b 3) (+ 1 (* b (+ 3/2 (* b (+ 3/4 (* 1/8 b)))))))>
#<alt (* 1/8 (pow b 6))>
#<alt (* (pow b 6) (+ 1/8 (* 3/4 (/ 1 b))))>
#<alt (* (pow b 6) (+ 1/8 (+ (* 3/4 (/ 1 b)) (/ 3/2 (pow b 2)))))>
#<alt (* (pow b 6) (+ 1/8 (+ (* 3/4 (/ 1 b)) (+ (/ 1 (pow b 3)) (/ 3/2 (pow b 2))))))>
#<alt (* 1/8 (pow b 6))>
#<alt (* (pow b 6) (+ 1/8 (* 3/4 (/ 1 b))))>
#<alt (* (pow b 6) (+ 1/8 (+ (* 3/4 (/ 1 b)) (/ 3/2 (pow b 2)))))>
#<alt (* (pow b 6) (+ 1/8 (* -1 (/ (- (* -1 (/ (+ 3/2 (/ 1 b)) b)) 3/4) b))))>
Calls

69 calls:

TimeVariablePointExpression
1.0ms
a
@inf
(/ (exp a) (+ (+ 2 (* a (+ 1 (* a 1/2)))) (* b (+ 1 (* b (+ 1/2 (* b 1/6)))))))
1.0ms
b
@0
(/ (exp a) (+ (+ 2 (* a (+ 1 (* a 1/2)))) (* b (+ 1 (* b (+ 1/2 (* b 1/6)))))))
1.0ms
a
@0
(/ (exp a) (+ (+ 2 (* a (+ 1 (* a 1/2)))) (* b (+ 1 (* b (+ 1/2 (* b 1/6)))))))
1.0ms
a
@-inf
(/ (exp a) (+ (+ 2 (* a (+ 1 (* a 1/2)))) (* b (+ 1 (* b (+ 1/2 (* b 1/6)))))))
0.0ms
b
@-inf
(/ (+ 4 (* (* b (+ 1 (* b 1/2))) (- (* b (+ 1 (* b 1/2))) 2))) (+ 8 (* (* b (+ 1 (* b 1/2))) (* b (* (+ 1 (* b 1/2)) (* b (+ 1 (* b 1/2))))))))

rewrite452.0ms (4.9%)

Algorithm
batch-egg-rewrite
Rules
3874×*-lowering-*.f32
3874×*-lowering-*.f64
2674×fma-lowering-fma.f32
2674×fma-lowering-fma.f64
2302×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
039258
1260194
22430178
08808178
Stop Event
iter limit
node limit
Counts
21 → 653
Calls
Call 1
Inputs
(/ (exp a) (+ (+ 2 (* a (+ 1 (* a 1/2)))) (* b (+ 1 (* b (+ 1/2 (* b 1/6)))))))
(exp a)
(+ (+ 2 (* a (+ 1 (* a 1/2)))) (* b (+ 1 (* b (+ 1/2 (* b 1/6))))))
(+ 2 (* a (+ 1 (* a 1/2))))
(* -1/4 b)
(/ 1 (+ 2 (* b (* 1/2 b))))
(+ 2 (* b (* 1/2 b)))
(* b (* 1/2 b))
(* 1/2 b)
(/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* b 1/6)))))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* b 1/6))))))
(* b (+ 1 (* b (+ 1/2 (* b 1/6)))))
(+ 1 (* b (+ 1/2 (* b 1/6))))
(/ (+ 4 (* (* b (+ 1 (* b 1/2))) (- (* b (+ 1 (* b 1/2))) 2))) (+ 8 (* (* b (+ 1 (* b 1/2))) (* b (* (+ 1 (* b 1/2)) (* b (+ 1 (* b 1/2))))))))
(+ 4 (* (* b (+ 1 (* b 1/2))) (- (* b (+ 1 (* b 1/2))) 2)))
(* (* b (+ 1 (* b 1/2))) (- (* b (+ 1 (* b 1/2))) 2))
(* b (+ 1 (* b 1/2)))
(* b 1/6)
(* b (+ 1/2 (* b 1/6)))
(* (+ 1 (* b 1/2)) (* b (+ 1 (* b 1/2))))
(* (* b (+ 1 (* b 1/2))) (* b (* (+ 1 (* b 1/2)) (* b (+ 1 (* b 1/2))))))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))) (exp.f64 a))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal -2 binary64) (neg.f64 (+.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))))
(/.f64 (exp.f64 a) (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 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 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))) (exp.f64 a)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))) (exp.f64 a)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))) (exp.f64 a))))
(/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (+.f64 #s(literal -2 binary64) (neg.f64 (+.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a))) (neg.f64 (+.f64 #s(literal -2 binary64) (neg.f64 (+.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))))))
(/.f64 (*.f64 (exp.f64 a) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))))
(pow.f64 (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))) (exp.f64 a)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))) (exp.f64 a)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (exp.f64 a) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 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 binary64) (/.f64 (exp.f64 a) (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))))
(*.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (neg.f64 (+.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))) (exp.f64 a))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)))
(*.f64 (/.f64 (exp.f64 a) (+.f64 (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 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 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))))) (+.f64 (*.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 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))))))))
(*.f64 (/.f64 (exp.f64 a) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 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 2 binary64) (-.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 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 2 binary64) (-.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))))
(exp.f64 a)
(pow.f64 (exp.f64 a) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) a)
(+.f64 #s(literal 2 binary64) (+.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
(+.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 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 (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))
(+.f64 b (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))) (*.f64 b b)) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))))))
(+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))))
(+.f64 (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))) (*.f64 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 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))) #s(literal 2 binary64))
(+.f64 (+.f64 (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))) b) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))) (*.f64 b b)))
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(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))) b)
(*.f64 (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))) b)
(+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)) (*.f64 #s(literal 1/2 binary64) (*.f64 b b))))
(+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b b)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))
(+.f64 (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) #s(literal 1 binary64)) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 #s(literal 1/2 binary64) b)))
(+.f64 (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 #s(literal 1/2 binary64) b)) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))) (*.f64 (*.f64 #s(literal 1/2 binary64) b) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) b) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))) (*.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))
(fma.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 (*.f64 #s(literal 1/2 binary64) b) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))
(fma.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)) (*.f64 #s(literal 1/2 binary64) (*.f64 b b))))
(fma.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b b)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) b) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))
(fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)) b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)) (*.f64 #s(literal 1/2 binary64) (*.f64 b b))))
(fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)) b (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b b)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))
(fma.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) #s(literal 1 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 #s(literal 1/2 binary64) b)))
(fma.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 #s(literal 1/2 binary64) b) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 b (*.f64 b b))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) b) (-.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64)))))
(/.f64 (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 b b)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 b (*.f64 b b)))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) b) (-.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 b b))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))
(*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))
(*.f64 (+.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 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) b)
(+.f64 (*.f64 (*.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)))) b) (*.f64 (*.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 1/2 binary64) (*.f64 b b))))
(+.f64 (*.f64 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 (*.f64 #s(literal 1/2 binary64) (*.f64 b 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))))))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))))
(fma.f64 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 (*.f64 #s(literal 1/2 binary64) (*.f64 b 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))))))
(fma.f64 (*.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)))) b (*.f64 (*.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 1/2 binary64) (*.f64 b b))))
(/.f64 (pow.f64 (+.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 b (*.f64 b b)))) #s(literal 3 binary64)) (pow.f64 (+.f64 (*.f64 b b) (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) (*.f64 b b)) (*.f64 b (*.f64 #s(literal 1/2 binary64) (*.f64 b b))))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) (*.f64 b b))) #s(literal 3 binary64)) (pow.f64 (-.f64 b (*.f64 #s(literal 1/2 binary64) (*.f64 b b))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 b (*.f64 b b))))) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) b) (-.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64)))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (*.f64 b (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 b b)))) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 b (*.f64 b b)))) b) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) b) (-.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64)))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 b b))) b) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)) #s(literal 3 binary64)))
(pow.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) #s(literal 3 binary64))
(pow.f64 (*.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)))) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))) #s(literal 3 binary64))
(*.f64 b (*.f64 (+.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 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)) (*.f64 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 (*.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 (*.f64 (+.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 b (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))
(*.f64 (*.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 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))
(*.f64 (*.f64 b (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))) (*.f64 (+.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 (*.f64 (+.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))))) b)
(*.f64 (*.f64 b (*.f64 b b)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))) (*.f64 b (*.f64 b b)))
(*.f64 (pow.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) #s(literal 3/2 binary64)) (pow.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) #s(literal 3/2 binary64)))
(*.f64 (*.f64 (*.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)))) b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))
(*.f64 (*.f64 (*.f64 b (*.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 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))

simplify312.0ms (3.4%)

Algorithm
egg-herbie
Rules
3316×*-lowering-*.f32
3316×*-lowering-*.f64
2704×+-lowering-+.f64
2704×+-lowering-+.f32
1606×sum4-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05203353
117152861
260212843
080902843
Stop Event
iter limit
node limit
Counts
276 → 276
Calls
Call 1
Inputs
(/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ (* a (- (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 2)))) (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))) (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 3))) (* 3/2 (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 2))))) (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))) (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 2)))) (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))) (* 3/2 (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 3)))) (+ (* 1/2 (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 2))) (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))) (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 4)))))) (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 3)))) (* 3/2 (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 2))))) (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))) (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 2)))) (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
(* 2 (/ (exp a) (pow a 2)))
(/ (+ (* -4 (/ (exp a) a)) (* 2 (exp a))) (pow a 2))
(/ (- (+ (* -1 (/ (+ (* -8 (exp a)) (* 4 (* (exp a) (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))) (pow a 2))) (* 2 (exp a))) (* 4 (/ (exp a) a))) (pow a 2))
(/ (- (+ (* -1 (/ (+ (* -8 (* (exp a) (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))) (* -2 (+ (* -8 (exp a)) (* 4 (* (exp a) (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))))) (pow a 3))) (* 2 (exp a))) (+ (* -8 (/ (exp a) (pow a 2))) (+ (* 4 (/ (exp a) a)) (* 4 (/ (* (exp a) (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 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) (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) a))) (* -4 (exp a))) a)) (* 2 (exp a))) (pow a 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (+ (* -8 (exp a)) (* 4 (* (exp a) (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))) a)) (* 8 (/ (* (exp a) (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) a))) (+ (* -8 (exp a)) (* 4 (* (exp a) (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 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))))))
(* 6 (/ (exp a) (pow b 3)))
(/ (+ (* -18 (/ (exp a) b)) (* 6 (exp a))) (pow b 3))
(/ (- (+ (* -1 (/ (+ (* -54 (exp a)) (* 36 (exp a))) (pow b 2))) (* 6 (exp a))) (* 18 (/ (exp a) b))) (pow b 3))
(/ (- (+ (* -1 (/ (+ (* -108 (exp a)) (+ (* -3 (+ (* -54 (exp a)) (* 36 (exp a)))) (* 36 (* (exp a) (+ 2 (* a (+ 1 (* 1/2 a)))))))) (pow b 3))) (* 6 (exp a))) (+ (* -54 (/ (exp a) (pow b 2))) (+ (* 18 (/ (exp a) b)) (* 36 (/ (exp a) (pow b 2)))))) (pow b 3))
(* 6 (/ (exp a) (pow b 3)))
(* -1 (/ (+ (* -6 (exp a)) (* 18 (/ (exp a) b))) (pow b 3)))
(* -1 (/ (+ (* -6 (exp a)) (* -1 (/ (- (+ (* -36 (/ (exp a) b)) (* 54 (/ (exp a) b))) (* 18 (exp a))) b))) (pow b 3)))
(* -1 (/ (+ (* -6 (exp a)) (* -1 (/ (- (* -1 (/ (- (+ (* -108 (/ (exp a) b)) (+ (* 3 (/ (+ (* -36 (exp a)) (* 54 (exp a))) b)) (* 36 (/ (* (exp a) (+ 2 (* a (+ 1 (* 1/2 a))))) b)))) (+ (* -36 (exp a)) (* 54 (exp a)))) b)) (* 18 (exp a))) b))) (pow b 3)))
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 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(+ 2 (+ a (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(* 1/2 (pow a 2))
(* (pow a 2) (+ 1/2 (/ 1 a)))
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (+ (/ 2 (pow a 2)) (/ (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))) (pow a 2))))))
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (+ (/ 2 (pow a 2)) (/ (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))) (pow a 2))))))
(* 1/2 (pow a 2))
(* (pow a 2) (+ 1/2 (/ 1 a)))
(* (pow a 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) a)) 1) a))))
(* (pow a 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) a)) 1) 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)))))))
(* 1/6 (pow b 3))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (pow b 3))) (/ (* a (+ 1 (* 1/2 a))) (pow b 3)))))))
(* 1/6 (pow b 3))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 2 (* a (+ 1 (* 1/2 a)))) b)) 1) b))) b)) 1/6)))
2
(+ 2 a)
(+ 2 (* a (+ 1 (* 1/2 a))))
(+ 2 (* a (+ 1 (* 1/2 a))))
(* 1/2 (pow a 2))
(* (pow a 2) (+ 1/2 (/ 1 a)))
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 2 (pow a 2)))))
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 2 (pow a 2)))))
(* 1/2 (pow a 2))
(* (pow a 2) (+ 1/2 (/ 1 a)))
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 2 (pow a 2)))))
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 2 (pow a 2)))))
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
1/2
(+ 1/2 (* -1/8 (pow b 2)))
(+ 1/2 (* (pow b 2) (- (* 1/32 (pow b 2)) 1/8)))
(+ 1/2 (* (pow b 2) (- (* (pow b 2) (+ 1/32 (* -1/128 (pow b 2)))) 1/8)))
(/ 2 (pow b 2))
(/ (- 2 (* 8 (/ 1 (pow b 2)))) (pow b 2))
(/ (- (+ 2 (/ 32 (pow b 4))) (* 8 (/ 1 (pow b 2)))) (pow b 2))
(/ (- (+ 2 (/ 32 (pow b 4))) (+ (* 8 (/ 1 (pow b 2))) (* 128 (/ 1 (pow b 6))))) (pow b 2))
(/ 2 (pow b 2))
(/ (- 2 (* 8 (/ 1 (pow b 2)))) (pow b 2))
(/ (- (+ 2 (/ 32 (pow b 4))) (* 8 (/ 1 (pow b 2)))) (pow b 2))
(/ (- (+ 2 (/ 32 (pow b 4))) (+ (* 8 (/ 1 (pow b 2))) (* 128 (/ 1 (pow b 6))))) (pow b 2))
2
(+ 2 (* 1/2 (pow b 2)))
(+ 2 (* 1/2 (pow b 2)))
(+ 2 (* 1/2 (pow b 2)))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (* 2 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1/2 (* 2 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1/2 (* 2 (/ 1 (pow b 2)))))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (* 2 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1/2 (* 2 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1/2 (* 2 (/ 1 (pow b 2)))))
(* 1/2 (pow b 2))
(* 1/2 (pow b 2))
(* 1/2 (pow b 2))
(* 1/2 (pow b 2))
(* 1/2 (pow b 2))
(* 1/2 (pow b 2))
(* 1/2 (pow b 2))
(* 1/2 (pow b 2))
(* 1/2 (pow b 2))
(* 1/2 (pow b 2))
(* 1/2 (pow b 2))
(* 1/2 (pow b 2))
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
1/2
(+ 1/2 (* -1/4 b))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* 1/96 b))) 1/4)))
(/ 6 (pow b 3))
(/ (- 6 (* 18 (/ 1 b))) (pow b 3))
(/ (- (+ 6 (/ 18 (pow b 2))) (* 18 (/ 1 b))) (pow b 3))
(/ (- (+ 6 (/ 18 (pow b 2))) (+ (* 18 (/ 1 b)) (* 18 (/ 1 (pow b 3))))) (pow b 3))
(/ 6 (pow b 3))
(* -1 (/ (- (* 18 (/ 1 b)) 6) (pow b 3)))
(* -1 (/ (- (* -1 (/ (- (* 18 (/ 1 b)) 18) b)) 6) (pow b 3)))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 18 (/ 1 b)) 18) b)) 18) b)) 6) (pow b 3)))
2
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(* 1/6 (pow b 3))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (* 2 (/ 1 (pow b 3)))))))
(* 1/6 (pow b 3))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))) b)) 1/6)))
b
(* b (+ 1 (* 1/2 b)))
(* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))
(* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))
(* 1/6 (pow b 3))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* 1/6 (pow b 3))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))
1
(+ 1 (* 1/2 b))
(+ 1 (* b (+ 1/2 (* 1/6 b))))
(+ 1 (* b (+ 1/2 (* 1/6 b))))
(* 1/6 (pow b 2))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* 1/6 (pow b 2))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
1/2
(+ 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))
4
(+ 4 (* -2 b))
(+ 4 (* b (- (pow b 2) 2)))
(+ 4 (* b (- (* (pow b 2) (+ 1 (* 1/4 b))) 2)))
(* 1/4 (pow b 4))
(* (pow b 4) (+ 1/4 (/ 1 b)))
(* (pow b 4) (- (+ 1/4 (/ 1 b)) (/ 2 (pow b 3))))
(* (pow b 4) (- (+ 1/4 (+ (/ 1 b) (* 4 (/ 1 (pow b 4))))) (/ 2 (pow b 3))))
(* 1/4 (pow b 4))
(* (pow b 4) (+ 1/4 (/ 1 b)))
(* (pow b 4) (+ 1/4 (* -1 (/ (- (* 2 (/ 1 (pow b 2))) 1) b))))
(* (pow b 4) (+ 1/4 (* -1 (/ (- (* 2 (/ 1 (pow b 2))) (+ 1 (/ 4 (pow b 3)))) b))))
(* -2 b)
(* b (- (pow b 2) 2))
(* b (- (* (pow b 2) (+ 1 (* 1/4 b))) 2))
(* b (- (* (pow b 2) (+ 1 (* 1/4 b))) 2))
(* 1/4 (pow b 4))
(* (pow b 4) (+ 1/4 (/ 1 b)))
(* (pow b 4) (- (+ 1/4 (/ 1 b)) (/ 2 (pow b 3))))
(* (pow b 4) (- (+ 1/4 (/ 1 b)) (/ 2 (pow b 3))))
(* 1/4 (pow b 4))
(* (pow b 4) (+ 1/4 (/ 1 b)))
(* (pow b 4) (+ 1/4 (* -1 (/ (- (* 2 (/ 1 (pow b 2))) 1) b))))
(* (pow b 4) (+ 1/4 (* -1 (/ (- (* 2 (/ 1 (pow b 2))) 1) b))))
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)))
(* 1/6 b)
(* 1/6 b)
(* 1/6 b)
(* 1/6 b)
(* 1/6 b)
(* 1/6 b)
(* 1/6 b)
(* 1/6 b)
(* 1/6 b)
(* 1/6 b)
(* 1/6 b)
(* 1/6 b)
(* 1/2 b)
(* b (+ 1/2 (* 1/6 b)))
(* b (+ 1/2 (* 1/6 b)))
(* b (+ 1/2 (* 1/6 b)))
(* 1/6 (pow b 2))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(* 1/6 (pow b 2))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
b
(* b (+ 1 b))
(* b (+ 1 (* b (+ 1 (* 1/4 b)))))
(* b (+ 1 (* b (+ 1 (* 1/4 b)))))
(* 1/4 (pow b 3))
(* (pow b 3) (+ 1/4 (/ 1 b)))
(* (pow b 3) (+ 1/4 (+ (/ 1 b) (/ 1 (pow b 2)))))
(* (pow b 3) (+ 1/4 (+ (/ 1 b) (/ 1 (pow b 2)))))
(* 1/4 (pow b 3))
(* (pow b 3) (+ 1/4 (/ 1 b)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1 (/ 1 b)) b)) 1/4)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1 (/ 1 b)) b)) 1/4)))
(pow b 3)
(* (pow b 3) (+ 1 (* 3/2 b)))
(* (pow b 3) (+ 1 (* b (+ 3/2 (* 3/4 b)))))
(* (pow b 3) (+ 1 (* b (+ 3/2 (* b (+ 3/4 (* 1/8 b)))))))
(* 1/8 (pow b 6))
(* (pow b 6) (+ 1/8 (* 3/4 (/ 1 b))))
(* (pow b 6) (+ 1/8 (+ (* 3/4 (/ 1 b)) (/ 3/2 (pow b 2)))))
(* (pow b 6) (+ 1/8 (+ (* 3/4 (/ 1 b)) (+ (/ 1 (pow b 3)) (/ 3/2 (pow b 2))))))
(* 1/8 (pow b 6))
(* (pow b 6) (+ 1/8 (* 3/4 (/ 1 b))))
(* (pow b 6) (+ 1/8 (+ (* 3/4 (/ 1 b)) (/ 3/2 (pow b 2)))))
(* (pow b 6) (+ 1/8 (* -1 (/ (- (* -1 (/ (+ 3/2 (/ 1 b)) b)) 3/4) b))))
Outputs
(/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 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))))))))
(+ (* a (- (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 2)))) (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
(+.f64 (/.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 a (+.f64 (/.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 binary64) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))) (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 3))) (* 3/2 (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 2))))) (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))) (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 2)))) (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
(+.f64 (/.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 a (+.f64 (+.f64 (/.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 binary64) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))) (+.f64 #s(literal 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 a (+.f64 (/.f64 #s(literal 1/2 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 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))) (*.f64 (+.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 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 -3/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))))))))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))) (* 3/2 (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 3)))) (+ (* 1/2 (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 2))) (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))) (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 4)))))) (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 3)))) (* 3/2 (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 2))))) (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))) (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 2)))) (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
(+.f64 (/.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 a (+.f64 (+.f64 (/.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 binary64) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))) (+.f64 #s(literal 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 a (+.f64 (/.f64 #s(literal 1/2 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 (*.f64 a (-.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))) (/.f64 #s(literal 3/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))) (*.f64 (+.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 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 (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.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 binary64) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))) (+.f64 #s(literal 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 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 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))) #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1/2 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 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 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))) (*.f64 (+.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 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 -3/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))))))))))
(* 2 (/ (exp a) (pow a 2)))
(/.f64 (*.f64 #s(literal 2 binary64) (exp.f64 a)) (*.f64 a a))
(/ (+ (* -4 (/ (exp a) a)) (* 2 (exp a))) (pow a 2))
(/.f64 (+.f64 (/.f64 (*.f64 (exp.f64 a) #s(literal -4 binary64)) a) (*.f64 #s(literal 2 binary64) (exp.f64 a))) (*.f64 a a))
(/ (- (+ (* -1 (/ (+ (* -8 (exp a)) (* 4 (* (exp a) (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))) (pow a 2))) (* 2 (exp a))) (* 4 (/ (exp a) a))) (pow a 2))
(/.f64 (+.f64 (/.f64 (*.f64 (exp.f64 a) #s(literal -4 binary64)) a) (-.f64 (*.f64 #s(literal 2 binary64) (exp.f64 a)) (/.f64 (+.f64 (*.f64 (exp.f64 a) #s(literal -8 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))) (*.f64 #s(literal 4 binary64) (exp.f64 a)))) (*.f64 a a)))) (*.f64 a a))
(/ (- (+ (* -1 (/ (+ (* -8 (* (exp a) (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))) (* -2 (+ (* -8 (exp a)) (* 4 (* (exp a) (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))))) (pow a 3))) (* 2 (exp a))) (+ (* -8 (/ (exp a) (pow a 2))) (+ (* 4 (/ (exp a) a)) (* 4 (/ (* (exp a) (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) (pow a 2)))))) (pow a 2))
(/.f64 (+.f64 (+.f64 (-.f64 (*.f64 #s(literal 2 binary64) (exp.f64 a)) (/.f64 (+.f64 (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))) (*.f64 (exp.f64 a) #s(literal -8 binary64))) (+.f64 (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))) (*.f64 (exp.f64 a) #s(literal -8 binary64))) (*.f64 (exp.f64 a) #s(literal 16 binary64)))) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal 8 binary64) (/.f64 (exp.f64 a) (*.f64 a a)))) (*.f64 #s(literal -4 binary64) (+.f64 (/.f64 (exp.f64 a) a) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))) (/.f64 (exp.f64 a) (*.f64 a a)))))) (*.f64 a a))
(* 2 (/ (exp a) (pow a 2)))
(/.f64 (*.f64 #s(literal 2 binary64) (exp.f64 a)) (*.f64 a a))
(/ (+ (* -4 (/ (exp a) a)) (* 2 (exp a))) (pow a 2))
(/.f64 (+.f64 (/.f64 (*.f64 (exp.f64 a) #s(literal -4 binary64)) a) (*.f64 #s(literal 2 binary64) (exp.f64 a))) (*.f64 a a))
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(*.f64 (*.f64 (*.f64 b (*.f64 b b)) b) (+.f64 (/.f64 #s(literal 1 binary64) b) (-.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 b b)) b))))
(* 1/4 (pow b 4))
(*.f64 (*.f64 (*.f64 b (*.f64 b b)) b) #s(literal 1/4 binary64))
(* (pow b 4) (+ 1/4 (/ 1 b)))
(*.f64 (*.f64 (*.f64 b (*.f64 b b)) b) (+.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1/4 binary64)))
(* (pow b 4) (+ 1/4 (* -1 (/ (- (* 2 (/ 1 (pow b 2))) 1) b))))
(*.f64 (*.f64 (*.f64 b (*.f64 b b)) b) (-.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))) b)))
(* (pow b 4) (+ 1/4 (* -1 (/ (- (* 2 (/ 1 (pow b 2))) 1) b))))
(*.f64 (*.f64 (*.f64 b (*.f64 b b)) b) (-.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b 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 #s(literal 1/2 binary64) (*.f64 b b))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(*.f64 b (*.f64 b (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b))))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(*.f64 b (*.f64 b (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b))))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(*.f64 b (*.f64 b (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 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 b (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b))))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(*.f64 b (*.f64 b (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b))))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(*.f64 b (*.f64 b (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b))))
(* 1/6 b)
(*.f64 b #s(literal 1/6 binary64))
(* 1/6 b)
(*.f64 b #s(literal 1/6 binary64))
(* 1/6 b)
(*.f64 b #s(literal 1/6 binary64))
(* 1/6 b)
(*.f64 b #s(literal 1/6 binary64))
(* 1/6 b)
(*.f64 b #s(literal 1/6 binary64))
(* 1/6 b)
(*.f64 b #s(literal 1/6 binary64))
(* 1/6 b)
(*.f64 b #s(literal 1/6 binary64))
(* 1/6 b)
(*.f64 b #s(literal 1/6 binary64))
(* 1/6 b)
(*.f64 b #s(literal 1/6 binary64))
(* 1/6 b)
(*.f64 b #s(literal 1/6 binary64))
(* 1/6 b)
(*.f64 b #s(literal 1/6 binary64))
(* 1/6 b)
(*.f64 b #s(literal 1/6 binary64))
(* 1/2 b)
(*.f64 b #s(literal 1/2 binary64))
(* b (+ 1/2 (* 1/6 b)))
(*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))
(* b (+ 1/2 (* 1/6 b)))
(*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))
(* b (+ 1/2 (* 1/6 b)))
(*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))
(* 1/6 (pow b 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 b b))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) b)))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) b)))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) b)))
(* 1/6 (pow b 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 b b))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) b)))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) b)))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(*.f64 (*.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) b)))
b
(* b (+ 1 b))
(*.f64 b (+.f64 #s(literal 1 binary64) b))
(* b (+ 1 (* b (+ 1 (* 1/4 b)))))
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/4 binary64))))))
(* b (+ 1 (* b (+ 1 (* 1/4 b)))))
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/4 binary64))))))
(* 1/4 (pow b 3))
(*.f64 b (*.f64 (*.f64 b b) #s(literal 1/4 binary64)))
(* (pow b 3) (+ 1/4 (/ 1 b)))
(*.f64 (*.f64 b (*.f64 b b)) (+.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1/4 binary64)))
(* (pow b 3) (+ 1/4 (+ (/ 1 b) (/ 1 (pow b 2)))))
(*.f64 (*.f64 b (*.f64 b b)) (+.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b b)))))
(* (pow b 3) (+ 1/4 (+ (/ 1 b) (/ 1 (pow b 2)))))
(*.f64 (*.f64 b (*.f64 b b)) (+.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b b)))))
(* 1/4 (pow b 3))
(*.f64 b (*.f64 (*.f64 b b) #s(literal 1/4 binary64)))
(* (pow b 3) (+ 1/4 (/ 1 b)))
(*.f64 (*.f64 b (*.f64 b b)) (+.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1/4 binary64)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1 (/ 1 b)) b)) 1/4)))
(*.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)) (neg.f64 b))) (*.f64 (neg.f64 b) (*.f64 b b)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1 (/ 1 b)) b)) 1/4)))
(*.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)) (neg.f64 b))) (*.f64 (neg.f64 b) (*.f64 b b)))
(pow b 3)
(*.f64 b (*.f64 b b))
(* (pow b 3) (+ 1 (* 3/2 b)))
(*.f64 (*.f64 b (*.f64 b b)) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 3/2 binary64))))
(* (pow b 3) (+ 1 (* b (+ 3/2 (* 3/4 b)))))
(*.f64 (*.f64 b (*.f64 b b)) (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 3/2 binary64) (*.f64 b #s(literal 3/4 binary64))))))
(* (pow b 3) (+ 1 (* b (+ 3/2 (* b (+ 3/4 (* 1/8 b)))))))
(*.f64 (*.f64 b (*.f64 b b)) (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 3/2 binary64) (*.f64 b (+.f64 #s(literal 3/4 binary64) (*.f64 b #s(literal 1/8 binary64))))))))
(* 1/8 (pow b 6))
(*.f64 #s(literal 1/8 binary64) (pow.f64 b #s(literal 6 binary64)))
(* (pow b 6) (+ 1/8 (* 3/4 (/ 1 b))))
(*.f64 (pow.f64 b #s(literal 6 binary64)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 3/4 binary64) b)))
(* (pow b 6) (+ 1/8 (+ (* 3/4 (/ 1 b)) (/ 3/2 (pow b 2)))))
(*.f64 (pow.f64 b #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 3/4 binary64) b) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 3/2 binary64) (*.f64 b b)))))
(* (pow b 6) (+ 1/8 (+ (* 3/4 (/ 1 b)) (+ (/ 1 (pow b 3)) (/ 3/2 (pow b 2))))))
(*.f64 (pow.f64 b #s(literal 6 binary64)) (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) b) (/.f64 #s(literal 3/4 binary64) b)) (+.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 b b)) #s(literal 1/8 binary64))))
(* 1/8 (pow b 6))
(*.f64 #s(literal 1/8 binary64) (pow.f64 b #s(literal 6 binary64)))
(* (pow b 6) (+ 1/8 (* 3/4 (/ 1 b))))
(*.f64 (pow.f64 b #s(literal 6 binary64)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 3/4 binary64) b)))
(* (pow b 6) (+ 1/8 (+ (* 3/4 (/ 1 b)) (/ 3/2 (pow b 2)))))
(*.f64 (pow.f64 b #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 3/4 binary64) b) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 3/2 binary64) (*.f64 b b)))))
(* (pow b 6) (+ 1/8 (* -1 (/ (- (* -1 (/ (+ 3/2 (/ 1 b)) b)) 3/4) b))))
(*.f64 (pow.f64 b #s(literal 6 binary64)) (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) b)) (neg.f64 b)) #s(literal -3/4 binary64)) b)))

eval190.0ms (2.1%)

Compiler

Compiled 60012 to 3711 computations (93.8% saved)

prune147.0ms (1.6%)

Pruning

23 alts after pruning (18 fresh and 5 done)

PrunedKeptTotal
New1125131138
Fresh5510
Picked325
Done033
Total1133231156
Accuracy
100.0%
Counts
1156 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
19.5%
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) b)) (*.f64 b (*.f64 b b)))
59.2%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a)))) (+.f64 (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
13.9%
(/.f64 (*.f64 (*.f64 (*.f64 b (*.f64 b b)) b) #s(literal 1/4 binary64)) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))))))
68.6%
(/.f64 (exp.f64 a) #s(literal 2 binary64))
20.2%
(/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))
65.5%
(/.f64 #s(literal 4 binary64) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))))))
16.2%
(/.f64 #s(literal 2 binary64) (*.f64 b b))
51.3%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) (*.f64 b b)) #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b b)) #s(literal -2 binary64))))
69.6%
(/.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 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
61.5%
(/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 2 binary64) b) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))) (*.f64 b b))))
45.5%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))) (*.f64 b b))))) b) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))) (-.f64 (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))) #s(literal 1 binary64)))))))
61.5%
(/.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))))))))
61.4%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 b b))))))
86.0%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
34.7%
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b)))) (neg.f64 b)) #s(literal -1/6 binary64)) (*.f64 (neg.f64 b) (*.f64 b b))))
43.9%
(/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))))))
20.2%
(/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 #s(literal 1/6 binary64) (*.f64 b b))))
44.3%
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64))) (*.f64 a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64))) (+.f64 b #s(literal 2 binary64))))))
43.1%
(+.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 #s(literal -1/480 binary64) (*.f64 b (*.f64 b (*.f64 b b))))))
44.3%
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64)))
46.5%
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
4.0%
(*.f64 #s(literal -1/4 binary64) b)
46.3%
#s(literal 1/2 binary64)
Compiler

Compiled 1158 to 450 computations (61.1% saved)

regimes61.0ms (0.7%)

Counts
42 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/4 binary64) b)
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 #s(literal 1/6 binary64) (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (*.f64 #s(literal 1/2 binary64) b))))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b)) (*.f64 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))))))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) b)) (*.f64 b (*.f64 b b)))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 #s(literal -1/480 binary64) (*.f64 b (*.f64 b (*.f64 b b))))))
(/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 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 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 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 binary64) (+.f64 (+.f64 #s(literal 2 binary64) b) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))) (*.f64 b b))))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) #s(literal -1/480 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) (*.f64 b b)) #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b b)) #s(literal -2 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64))) (*.f64 a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64))) (+.f64 b #s(literal 2 binary64))))))
(/.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 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b)))) (neg.f64 b)) #s(literal -1/6 binary64)) (*.f64 (neg.f64 b) (*.f64 b b))))
(/.f64 #s(literal 4 binary64) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))))))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))) (-.f64 #s(literal 4 binary64) (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 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 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
(/.f64 (*.f64 (*.f64 (*.f64 b (*.f64 b b)) b) #s(literal 1/4 binary64)) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))))))
(/.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))) (*.f64 b b))))) b) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))) (-.f64 (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))) #s(literal 1 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))) (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))))) (-.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal 1/64 binary64)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal 1/64 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 b (*.f64 b b))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b #s(literal 1/2 binary64)) (-.f64 (*.f64 b #s(literal 1/2 binary64)) #s(literal 1 binary64)))))))))
(/.f64 (exp.f64 a) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b)))
(exp.f64 (-.f64 (*.f64 b (+.f64 #s(literal -1/2 binary64) (*.f64 b (+.f64 #s(literal -1/8 binary64) (*.f64 b (*.f64 b #s(literal 1/192 binary64))))))) (log.f64 #s(literal 2 binary64))))
(/.f64 (exp.f64 a) (+.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.f64 (*.f64 (log1p.f64 (exp.f64 b)) #s(literal -1 binary64)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 a))) (exp.f64 b)))
(pow.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(-.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))))
Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Calls

5 calls:

14.0ms
a
12.0ms
b
10.0ms
(exp.f64 a)
10.0ms
(exp.f64 b)
9.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Results
AccuracySegmentsBranch
99.2%1a
99.2%1b
99.2%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
99.2%1(exp.f64 a)
99.2%1(exp.f64 b)
Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes46.0ms (0.5%)

Counts
38 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/4 binary64) b)
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 #s(literal 1/6 binary64) (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (*.f64 #s(literal 1/2 binary64) b))))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b)) (*.f64 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))))))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) b)) (*.f64 b (*.f64 b b)))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 #s(literal -1/480 binary64) (*.f64 b (*.f64 b (*.f64 b b))))))
(/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 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 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 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 binary64) (+.f64 (+.f64 #s(literal 2 binary64) b) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))) (*.f64 b b))))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) #s(literal -1/480 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) (*.f64 b b)) #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b b)) #s(literal -2 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64))) (*.f64 a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64))) (+.f64 b #s(literal 2 binary64))))))
(/.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 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b)))) (neg.f64 b)) #s(literal -1/6 binary64)) (*.f64 (neg.f64 b) (*.f64 b b))))
(/.f64 #s(literal 4 binary64) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))))))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))) (-.f64 #s(literal 4 binary64) (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 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 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
(/.f64 (*.f64 (*.f64 (*.f64 b (*.f64 b b)) b) #s(literal 1/4 binary64)) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))))))
(/.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))) (*.f64 b b))))) b) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))) (-.f64 (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))) #s(literal 1 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))) (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))))) (-.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal 1/64 binary64)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal 1/64 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 b (*.f64 b b))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b #s(literal 1/2 binary64)) (-.f64 (*.f64 b #s(literal 1/2 binary64)) #s(literal 1 binary64)))))))))
(/.f64 (exp.f64 a) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b)))
(exp.f64 (-.f64 (*.f64 b (+.f64 #s(literal -1/2 binary64) (*.f64 b (+.f64 #s(literal -1/8 binary64) (*.f64 b (*.f64 b #s(literal 1/192 binary64))))))) (log.f64 #s(literal 2 binary64))))
(/.f64 (exp.f64 a) (+.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.f64 (*.f64 (log1p.f64 (exp.f64 b)) #s(literal -1 binary64)))
Outputs
(/.f64 (exp.f64 a) #s(literal 2 binary64))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 b)) #s(literal -1 binary64)))
Calls

4 calls:

12.0ms
a
12.0ms
b
9.0ms
(exp.f64 b)
8.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
99.3%2a
99.3%3b
99.3%2(exp.f64 a)
99.3%3(exp.f64 b)
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes25.0ms (0.3%)

Counts
37 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/4 binary64) b)
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 #s(literal 1/6 binary64) (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (*.f64 #s(literal 1/2 binary64) b))))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b)) (*.f64 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))))))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) b)) (*.f64 b (*.f64 b b)))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 #s(literal -1/480 binary64) (*.f64 b (*.f64 b (*.f64 b b))))))
(/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 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 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 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 binary64) (+.f64 (+.f64 #s(literal 2 binary64) b) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))) (*.f64 b b))))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) #s(literal -1/480 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) (*.f64 b b)) #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b b)) #s(literal -2 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64))) (*.f64 a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64))) (+.f64 b #s(literal 2 binary64))))))
(/.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 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b)))) (neg.f64 b)) #s(literal -1/6 binary64)) (*.f64 (neg.f64 b) (*.f64 b b))))
(/.f64 #s(literal 4 binary64) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))))))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))) (-.f64 #s(literal 4 binary64) (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 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 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
(/.f64 (*.f64 (*.f64 (*.f64 b (*.f64 b b)) b) #s(literal 1/4 binary64)) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))))))
(/.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))) (*.f64 b b))))) b) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))) (-.f64 (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))) #s(literal 1 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))) (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))))) (-.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal 1/64 binary64)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal 1/64 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 b (*.f64 b b))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b #s(literal 1/2 binary64)) (-.f64 (*.f64 b #s(literal 1/2 binary64)) #s(literal 1 binary64)))))))))
(/.f64 (exp.f64 a) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b)))
(exp.f64 (-.f64 (*.f64 b (+.f64 #s(literal -1/2 binary64) (*.f64 b (+.f64 #s(literal -1/8 binary64) (*.f64 b (*.f64 b #s(literal 1/192 binary64))))))) (log.f64 #s(literal 2 binary64))))
(/.f64 (exp.f64 a) (+.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))))))))
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:

12.0ms
a
8.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
99.3%2a
99.3%2(exp.f64 a)
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes51.0ms (0.5%)

Counts
31 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/4 binary64) b)
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 #s(literal 1/6 binary64) (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (*.f64 #s(literal 1/2 binary64) b))))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b)) (*.f64 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))))))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) b)) (*.f64 b (*.f64 b b)))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 #s(literal -1/480 binary64) (*.f64 b (*.f64 b (*.f64 b b))))))
(/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 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 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 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 binary64) (+.f64 (+.f64 #s(literal 2 binary64) b) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))) (*.f64 b b))))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) #s(literal -1/480 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) (*.f64 b b)) #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b b)) #s(literal -2 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64))) (*.f64 a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64))) (+.f64 b #s(literal 2 binary64))))))
(/.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 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b)))) (neg.f64 b)) #s(literal -1/6 binary64)) (*.f64 (neg.f64 b) (*.f64 b b))))
(/.f64 #s(literal 4 binary64) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))))))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))) (-.f64 #s(literal 4 binary64) (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 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 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
(/.f64 (*.f64 (*.f64 (*.f64 b (*.f64 b b)) b) #s(literal 1/4 binary64)) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))))))
(/.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))) (*.f64 b b))))) b) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))) (-.f64 (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))) #s(literal 1 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))) (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))))) (-.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal 1/64 binary64)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal 1/64 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 b (*.f64 b b))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b #s(literal 1/2 binary64)) (-.f64 (*.f64 b #s(literal 1/2 binary64)) #s(literal 1 binary64)))))))))
(/.f64 (exp.f64 a) #s(literal 2 binary64))
Outputs
(/.f64 (exp.f64 a) #s(literal 2 binary64))
(/.f64 #s(literal 4 binary64) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))))))
Calls

3 calls:

9.0ms
a
9.0ms
b
7.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
82.2%2b
79.6%2a
79.6%2(exp.f64 a)
Compiler

Compiled 10 to 7 computations (30% saved)

regimes20.0ms (0.2%)

Counts
30 → 3
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/4 binary64) b)
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 #s(literal 1/6 binary64) (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (*.f64 #s(literal 1/2 binary64) b))))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b)) (*.f64 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))))))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) b)) (*.f64 b (*.f64 b b)))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 #s(literal -1/480 binary64) (*.f64 b (*.f64 b (*.f64 b b))))))
(/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 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 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 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 binary64) (+.f64 (+.f64 #s(literal 2 binary64) b) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))) (*.f64 b b))))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) #s(literal -1/480 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) (*.f64 b b)) #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b b)) #s(literal -2 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64))) (*.f64 a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64))) (+.f64 b #s(literal 2 binary64))))))
(/.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 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b)))) (neg.f64 b)) #s(literal -1/6 binary64)) (*.f64 (neg.f64 b) (*.f64 b b))))
(/.f64 #s(literal 4 binary64) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))))))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))) (-.f64 #s(literal 4 binary64) (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 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 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
(/.f64 (*.f64 (*.f64 (*.f64 b (*.f64 b b)) b) #s(literal 1/4 binary64)) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))))))
(/.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))) (*.f64 b b))))) b) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))) (-.f64 (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))) #s(literal 1 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))) (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))))) (-.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal 1/64 binary64)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal 1/64 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 b (*.f64 b b))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b #s(literal 1/2 binary64)) (-.f64 (*.f64 b #s(literal 1/2 binary64)) #s(literal 1 binary64)))))))))
Outputs
#s(literal 1/2 binary64)
(/.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 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
(/.f64 #s(literal 4 binary64) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))))))
Calls

2 calls:

9.0ms
a
9.0ms
b
Results
AccuracySegmentsBranch
75.8%3a
76.2%3b
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes21.0ms (0.2%)

Counts
22 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/4 binary64) b)
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 #s(literal 1/6 binary64) (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (*.f64 #s(literal 1/2 binary64) b))))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b)) (*.f64 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))))))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) b)) (*.f64 b (*.f64 b b)))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 #s(literal -1/480 binary64) (*.f64 b (*.f64 b (*.f64 b b))))))
(/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 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 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 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 binary64) (+.f64 (+.f64 #s(literal 2 binary64) b) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))) (*.f64 b b))))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) #s(literal -1/480 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) (*.f64 b b)) #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b b)) #s(literal -2 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64))) (*.f64 a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64))) (+.f64 b #s(literal 2 binary64))))))
(/.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 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b)))) (neg.f64 b)) #s(literal -1/6 binary64)) (*.f64 (neg.f64 b) (*.f64 b b))))
Outputs
#s(literal 1/2 binary64)
(/.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 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
Calls

2 calls:

13.0ms
a
7.0ms
b
Results
AccuracySegmentsBranch
73.3%3a
72.5%2b
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes16.0ms (0.2%)

Counts
20 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/4 binary64) b)
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 #s(literal 1/6 binary64) (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (*.f64 #s(literal 1/2 binary64) b))))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b)) (*.f64 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))))))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) b)) (*.f64 b (*.f64 b b)))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 #s(literal -1/480 binary64) (*.f64 b (*.f64 b (*.f64 b b))))))
(/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 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 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 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 binary64) (+.f64 (+.f64 #s(literal 2 binary64) b) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))) (*.f64 b b))))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) #s(literal -1/480 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) (*.f64 b b)) #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b b)) #s(literal -2 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64))) (*.f64 a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64))) (+.f64 b #s(literal 2 binary64))))))
Outputs
(/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 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 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
6.0ms
b
Results
AccuracySegmentsBranch
67.2%2a
67.0%3b
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts
15 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/4 binary64) b)
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 #s(literal 1/6 binary64) (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (*.f64 #s(literal 1/2 binary64) b))))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b)) (*.f64 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))))))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) b)) (*.f64 b (*.f64 b b)))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 #s(literal -1/480 binary64) (*.f64 b (*.f64 b (*.f64 b b))))))
(/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 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 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 b b))))))
Outputs
(/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 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 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 b b))))))
Calls

1 calls:

5.0ms
a
Results
AccuracySegmentsBranch
67.1%2a
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes10.0ms (0.1%)

Counts
14 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/4 binary64) b)
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 #s(literal 1/6 binary64) (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (*.f64 #s(literal 1/2 binary64) b))))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b)) (*.f64 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))))))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) b)) (*.f64 b (*.f64 b b)))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 #s(literal -1/480 binary64) (*.f64 b (*.f64 b (*.f64 b b))))))
(/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))))))
Outputs
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) b)) (*.f64 b (*.f64 b b)))
Calls

2 calls:

5.0ms
a
5.0ms
b
Results
AccuracySegmentsBranch
64.2%2b
63.8%2a
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts
11 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/4 binary64) b)
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 #s(literal 1/6 binary64) (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (*.f64 #s(literal 1/2 binary64) b))))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b)) (*.f64 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))))))
Outputs
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
(/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))
Calls

1 calls:

4.0ms
b
Results
AccuracySegmentsBranch
64.2%2b
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

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

2 calls:

4.0ms
b
3.0ms
a
Results
AccuracySegmentsBranch
51.5%2a
59.0%2b
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

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

2 calls:

2.0ms
b
2.0ms
a
Results
AccuracySegmentsBranch
46.5%1a
46.5%1b
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -27.3b remaining (-79.4%)

Threshold costs -27.3b (-79.4%)

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

2 calls:

2.0ms
a
1.0ms
b
Results
AccuracySegmentsBranch
46.3%1a
46.3%1b
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
1.5083064566996578e-47
Compiler

Compiled 14 to 10 computations (28.6% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
1.5083064566996578e-47
Compiler

Compiled 14 to 10 computations (28.6% saved)

bsearch19.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
17.0ms
9.740968178762289e+37
3.1327726736890726e+44
Results
12.0ms144×0valid
Compiler

Compiled 348 to 199 computations (42.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-exp: 6.0ms (77.8% of total)
ival-div: 1.0ms (13% of total)
ival-add: 1.0ms (13% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch33.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
9.740968178762289e+37
3.1327726736890726e+44
15.0ms
-1558217133411.732
-14721.901276826267
Results
20.0ms288×0valid
Compiler

Compiled 789 to 505 computations (36% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-exp: 6.0ms (55.9% of total)
ival-div: 3.0ms (27.9% of total)
ival-add: 2.0ms (18.6% 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
16.0ms
-1558217133411.732
-14721.901276826267
Results
11.0ms144×0valid
Compiler

Compiled 285 to 208 computations (27% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-exp: 3.0ms (49.5% of total)
ival-add: 2.0ms (33% of total)
ival-div: 1.0ms (16.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch11.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
10.0ms
-2.6372559436658857e-5
-3.303985123643447e-6
Results
6.0ms96×0valid
Compiler

Compiled 219 to 166 computations (24.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-exp: 2.0ms (63.4% of total)
ival-div: 1.0ms (31.7% of total)
ival-add: 1.0ms (31.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch12.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
11.0ms
-2.6372559436658857e-5
-3.303985123643447e-6
Results
6.0ms96×0valid
Compiler

Compiled 207 to 154 computations (25.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-exp: 2.0ms (63.1% of total)
ival-div: 1.0ms (31.5% of total)
ival-add: 1.0ms (31.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch20.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
16.0ms
6.535237224213257e-13
279077.6468856897
Results
10.0ms160×0valid
Compiler

Compiled 235 to 180 computations (23.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-exp: 3.0ms (58.3% of total)
ival-div: 1.0ms (19.4% of total)
ival-add: 1.0ms (19.4% 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
16.0ms
6.535237224213257e-13
279077.6468856897
Results
10.0ms160×0valid
Compiler

Compiled 195 to 150 computations (23.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-exp: 3.0ms (57.2% of total)
ival-div: 1.0ms (19.1% of total)
ival-add: 1.0ms (19.1% 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
6.535237224213257e-13
279077.6468856897
Results
12.0ms160×0valid
Compiler

Compiled 175 to 140 computations (20% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-exp: 4.0ms (63% of total)
ival-div: 1.0ms (15.7% of total)
ival-add: 1.0ms (15.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify13.0ms (0.1%)

Algorithm
egg-herbie
Rules
34×*-commutative_binary64
32×+-commutative_binary64
sub-neg_binary64
mul-1-neg_binary64
1-exp_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
090278
1124277
2125277
3126277
4127277
5128277
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 (exp.f64 a) #s(literal 2 binary64)) (exp.f64 (*.f64 (log1p.f64 (exp.f64 b)) #s(literal -1 binary64))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 (exp.f64 a) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(if (<=.f64 b #s(literal 309999999999999995654955350744175148758204416 binary64)) (/.f64 (exp.f64 a) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))))))))
(if (<=.f64 b #s(literal -35000000 binary64)) #s(literal 1/2 binary64) (if (<=.f64 b #s(literal 249999999999999982439322256133887804982689792 binary64)) (/.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 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))) (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))))))))
(if (<=.f64 b #s(literal -86000000 binary64)) #s(literal 1/2 binary64) (/.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 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))))
(if (<=.f64 a #s(literal -7673845534663173/295147905179352825856 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 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 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))))
(if (<=.f64 a #s(literal -7673845534663173/295147905179352825856 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 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 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 b b)))))))
(if (<=.f64 b #s(literal 6980579422424269/2251799813685248 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64))) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) b)) (*.f64 b (*.f64 b b))))
(if (<=.f64 b #s(literal 4728779608739021/2251799813685248 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64))) (/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b))))
(if (<=.f64 b #s(literal 7656119366529843/4503599627370496 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 b b)))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
#s(literal 1/2 binary64)
Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 (exp.f64 a) #s(literal 2 binary64)) (exp.f64 (*.f64 (log1p.f64 (exp.f64 b)) #s(literal -1 binary64))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 (exp.f64 a) #s(literal 2 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 b)))))
(if (<=.f64 (exp.f64 a) #s(literal 0 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 0 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 309999999999999995654955350744175148758204416 binary64)) (/.f64 (exp.f64 a) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))))))))
(if (<=.f64 b #s(literal -35000000 binary64)) #s(literal 1/2 binary64) (if (<=.f64 b #s(literal 249999999999999982439322256133887804982689792 binary64)) (/.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 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))) (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))))))))
(if (<=.f64 b #s(literal -86000000 binary64)) #s(literal 1/2 binary64) (/.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 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))))
(if (<=.f64 a #s(literal -7673845534663173/295147905179352825856 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 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 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))))
(if (<=.f64 a #s(literal -7673845534663173/295147905179352825856 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 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 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 b b)))))))
(if (<=.f64 b #s(literal 6980579422424269/2251799813685248 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64))) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) b)) (*.f64 b (*.f64 b b))))
(if (<=.f64 b #s(literal 4728779608739021/2251799813685248 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64))) (/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b))))
(if (<=.f64 b #s(literal 7656119366529843/4503599627370496 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 b b)))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
#s(literal 1/2 binary64)

soundness2.1s (22.5%)

Rules
4362×*-lowering-*.f32
4362×*-lowering-*.f64
3730×*-lowering-*.f32
3730×*-lowering-*.f64
3640×*-lowering-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0120714
1366655
21233637
35187633
08610633
028124
1173105
21401104
08234104
05203353
117152861
260212843
080902843
04293346
113492907
246312876
085842876
01651489
14791270
213001248
349181248
082091248
026118
1215107
22137106
08675106
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 953 to 573 computations (39.9% saved)

preprocess420.0ms (4.5%)

Compiler

Compiled 600 to 204 computations (66% saved)

end0.0ms (0%)

Profiling

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