Quotient of sum of exps

Time bar (total: 10.2s)

analyze11.0ms (0.1%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
50%50%50%0.1%0%0%0%2
75%74.9%25%0.1%0%0%0%3
87.5%87.4%12.5%0.1%0%0%0%4
93.8%93.7%6.2%0.1%0%0%0%5
93.8%93.7%6.2%0.1%0%0%0%6
95.2%93.7%4.7%0.1%0%0%1.6%7
96%93.7%3.9%0.1%0%0%2.3%8
97.2%93.7%2.7%0.1%0%0%3.5%9
97.8%93.7%2.1%0.1%0%0%4.1%10
98.5%93.7%1.5%0.1%0%0%4.8%11
98.8%93.7%1.1%0.1%0%0%5.1%12
Compiler

Compiled 11 to 7 computations (36.4% saved)

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

sample918.0ms (9%)

Results
480.0ms8256×0valid
148.0ms2921×0unsamplable
Precisions
Click to see histograms. Total time spent on operations: 345.0ms
ival-exp: 160.0ms (46.4% of total)
ival-div: 99.0ms (28.7% of total)
ival-add: 74.0ms (21.5% of total)
const: 8.0ms (2.3% of total)
backward-pass: 4.0ms (1.2% of total)
Bogosity

preprocess127.0ms (1.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01856
14256
27956
315356
432149
565349
6110449
7196849
8279349
9379349
10414646
11478545
12539944
13594544
14621144
15625144
16626144
068
178
078
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(/ (exp a) (+ (exp a) (exp b)))
Outputs
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Call 2
Inputs
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp (neg a)) (+ (exp (neg a)) (exp b)))
(/ (exp a) (+ (exp a) (exp (neg b))))
(neg (/ (exp (neg a)) (+ (exp (neg a)) (exp b))))
(neg (/ (exp a) (+ (exp a) (exp (neg b)))))
(/ (exp b) (+ (exp b) (exp a)))
Outputs
(/ (exp a) (+ (exp a) (exp b)))
(recip (+ 1 (exp (- b a))))
(/ (exp (neg a)) (+ (exp (neg a)) (exp b)))
(recip (fmsub (exp a) (exp b) -1))
(/ (exp a) (+ (exp a) (exp (neg b))))
(recip (+ 1 (exp (- (neg a) b))))
(neg (/ (exp (neg a)) (+ (exp (neg a)) (exp b))))
(recip (fnmsub (exp a) (exp b) 1))
(neg (/ (exp a) (+ (exp a) (exp (neg b)))))
(recip (- -1 (exp (- (neg a) b))))
(/ (exp b) (+ (exp b) (exp a)))
(recip (+ 1 (exp (- a b))))

explain62.0ms (0.6%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
60-0-(/.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
34.0ms512×0valid
Compiler

Compiled 54 to 20 computations (63% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-exp: 7.0ms (48.2% of total)
ival-div: 4.0ms (27.5% of total)
ival-add: 3.0ms (20.6% 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
▶97.6%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 10 to 6 computations (40% saved)

simplify3.0ms (0%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(exp.f64 b)
✓cost-diff0
(+.f64 (exp.f64 a) (exp.f64 b))
✓cost-diff0
(exp.f64 a)
✓cost-diff0
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Rules
4×exp-lowering-exp.f32
4×+-lowering-+.f64
4×+-lowering-+.f32
4×exp-lowering-exp.f64
2×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0619
1719
0719
Stop Event
1×iter limit
1×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

localize25.0ms (0.2%)

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))
✓accuracy97.7%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Results
17.0ms256×0valid
Compiler

Compiled 22 to 7 computations (68.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 3.0ms (36.5% of total)
ival-exp: 3.0ms (36.5% of total)
ival-add: 1.0ms (12.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series6.0ms (0.1%)

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

18 calls:

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

rewrite318.0ms (3.1%)

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

Useful iterations: 0 (0.0ms)

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

simplify243.0ms (2.4%)

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

Useful iterations: 3 (0.0ms)

IterNodesCost
0120714
1360669
21225655
35177650
08588650
Stop Event
1×iter limit
1×node limit
Counts
72 → 72
Calls
Call 1
Inputs
(/ 1 (+ 1 (exp b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ 1 (exp a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(+ 1 (exp b))
(+ 1 (+ a (exp b)))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ 1 (exp a))
(+ 1 (+ b (exp a)))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
1
(+ 1 b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
Outputs
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 (*.f64 a (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal -3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (*.f64 a (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (*.f64 a (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (+.f64 (*.f64 a (+.f64 (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (-.f64 (/.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 4 binary64))) (/.f64 #s(literal 2/3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))))))) (/.f64 #s(literal -3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))))))))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(-.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(+.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 b (-.f64 (*.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) b)) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(+.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 b (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (*.f64 (+.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64))) (*.f64 b (-.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/6 binary64))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))) b))))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
1
#s(literal 1 binary64)
(+ 1 a)
(+.f64 #s(literal 1 binary64) a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))))
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (+ a (exp b)))
(+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) a))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (+ b (exp a)))
(+.f64 #s(literal 1 binary64) (+.f64 b (exp.f64 a)))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
1
#s(literal 1 binary64)
(+ 1 b)
(+.f64 #s(literal 1 binary64) b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)

eval38.0ms (0.4%)

Compiler

Compiled 9353 to 1019 computations (89.1% saved)

prune43.0ms (0.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New3685373
Fresh000
Picked101
Done000
Total3695374
Accuracy
99.0%
Counts
374 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶97.1%
(pow.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
▶63.5%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
▶81.8%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
▶81.8%
(+.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))))))
▶98.1%
(exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64)) a))
Compiler

Compiled 140 to 90 computations (35.7% saved)

simplify176.0ms (1.7%)

Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(exp.f64 a)
✓cost-diff12544
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
✓cost-diff12608
(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1/2 binary64))
✓cost-diff25472
(pow.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
✓cost-diff6464
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))
✓cost-diff6592
(*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))))
✓cost-diff13248
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))))
✓cost-diff0
(+.f64 (exp.f64 a) #s(literal 1 binary64))
✓cost-diff0
(exp.f64 a)
✓cost-diff0
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
✓cost-diff0
(exp.f64 b)
✓cost-diff0
(+.f64 #s(literal 1 binary64) (exp.f64 b))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
✓cost-diff0
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
✓cost-diff0
(*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64))
✓cost-diff128
(+.f64 (*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64)) a)
✓cost-diff19072
(exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64)) a))
Rules
2666×sum3-define
2030×fma-lowering-fma.f32
2030×fma-lowering-fma.f64
1734×fmm-def
1584×fnmadd-define
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
025197
148195
294189
3156184
4422183
5762178
61308176
72811176
84226176
97588176
08350176
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(exp (+ (* (log (+ (exp a) (exp b))) -1) a))
(+ (* (log (+ (exp a) (exp b))) -1) a)
(* (log (+ (exp a) (exp b))) -1)
(log (+ (exp a) (exp b)))
(+ (exp a) (exp b))
(exp a)
a
(exp b)
b
-1
(/ 1 (+ 1 (exp b)))
1
(+ 1 (exp b))
(exp b)
b
(/ (exp a) (+ (exp a) 1))
(exp a)
a
(+ (exp a) 1)
1
(+ (/ 1 (+ 1 (exp b))) (* a (+ (/ 1 (+ 1 (exp b))) (/ -1 (pow (+ 1 (exp b)) 2)))))
(/ 1 (+ 1 (exp b)))
1
(+ 1 (exp b))
(exp b)
b
(* a (+ (/ 1 (+ 1 (exp b))) (/ -1 (pow (+ 1 (exp b)) 2))))
a
(+ (/ 1 (+ 1 (exp b))) (/ -1 (pow (+ 1 (exp b)) 2)))
(/ -1 (pow (+ 1 (exp b)) 2))
-1
(pow (+ 1 (exp b)) 2)
2
(pow (pow (/ (exp a) (+ (exp a) (exp b))) 1/2) 2)
(pow (/ (exp a) (+ (exp a) (exp b))) 1/2)
(/ (exp a) (+ (exp a) (exp b)))
(exp a)
a
(+ (exp a) (exp b))
(exp b)
b
1/2
2
Outputs
(exp (+ (* (log (+ (exp a) (exp b))) -1) a))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (-.f64 #s(literal 0 binary64) a) b))))
(+ (* (log (+ (exp a) (exp b))) -1) a)
(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(* (log (+ (exp a) (exp b))) -1)
(-.f64 #s(literal 0 binary64) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(+ (exp a) (exp b))
(+.f64 (exp.f64 a) (exp.f64 b))
(exp a)
(exp.f64 a)
a
(exp b)
(exp.f64 b)
b
-1
#s(literal -1 binary64)
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 b)))
1
#s(literal 1 binary64)
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(exp b)
(exp.f64 b)
b
(/ (exp a) (+ (exp a) 1))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(exp a)
(exp.f64 a)
a
(+ (exp a) 1)
(+.f64 (exp.f64 a) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ (/ 1 (+ 1 (exp b))) (* a (+ (/ 1 (+ 1 (exp b))) (/ -1 (pow (+ 1 (exp b)) 2)))))
(/.f64 (+.f64 a (+.f64 #s(literal 1 binary64) (/.f64 a (-.f64 #s(literal -1 binary64) (exp.f64 b))))) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 b)))
1
#s(literal 1 binary64)
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(exp b)
(exp.f64 b)
b
(* a (+ (/ 1 (+ 1 (exp b))) (/ -1 (pow (+ 1 (exp b)) 2))))
(/.f64 (+.f64 a (/.f64 a (-.f64 #s(literal -1 binary64) (exp.f64 b)))) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
a
(+ (/ 1 (+ 1 (exp b))) (/ -1 (pow (+ 1 (exp b)) 2)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 b)))) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ -1 (pow (+ 1 (exp b)) 2))
(/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))
-1
#s(literal -1 binary64)
(pow (+ 1 (exp b)) 2)
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(pow (pow (/ (exp a) (+ (exp a) (exp b))) 1/2) 2)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (-.f64 #s(literal 0 binary64) a) b))))
(pow (/ (exp a) (+ (exp a) (exp b))) 1/2)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (-.f64 #s(literal 0 binary64) a) b)))))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (-.f64 #s(literal 0 binary64) a) b))))
(exp a)
(exp.f64 a)
a
(+ (exp a) (exp b))
(+.f64 (exp.f64 a) (exp.f64 b))
(exp b)
(exp.f64 b)
b
1/2
#s(literal 1/2 binary64)
2
#s(literal 2 binary64)

localize483.0ms (4.8%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 (exp.f64 a) (exp.f64 b))
✓accuracy100.0%
(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1/2 binary64))
✓accuracy99.5%
(pow.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
✓accuracy98.1%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
✓accuracy100.0%
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (exp.f64 b))
✓accuracy100.0%
(/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))
✓accuracy100.0%
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))
✓accuracy100.0%
(exp.f64 a)
✓accuracy100.0%
(+.f64 (exp.f64 a) #s(literal 1 binary64))
✓accuracy98.5%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
✓accuracy100.0%
(exp.f64 b)
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (exp.f64 b))
✓accuracy100.0%
(+.f64 (exp.f64 a) (exp.f64 b))
✓accuracy100.0%
(exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64)) a))
✓accuracy99.9%
(+.f64 (*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64)) a)
✓accuracy64.6%
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Results
250.0ms66×5exit
91.0ms58×2valid
47.0ms39×1valid
28.0ms93×0valid
Compiler

Compiled 209 to 26 computations (87.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 313.0ms
ival-exp: 78.0ms (24.9% of total)
ival-log: 73.0ms (23.3% of total)
ival-pow: 59.0ms (18.8% of total)
ival-add: 31.0ms (9.9% of total)
backward-pass: 30.0ms (9.6% of total)
ival-div: 27.0ms (8.6% of total)
ival-mult: 14.0ms (4.5% of total)
const: 2.0ms (0.6% of total)

series155.0ms (1.5%)

Counts
19 → 348
Calls
Call 1
Inputs
#<alt (exp (+ (* (log (+ (exp a) (exp b))) -1) a))>
#<alt (+ (* (log (+ (exp a) (exp b))) -1) a)>
#<alt (* (log (+ (exp a) (exp b))) -1)>
#<alt (log (+ (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)>
#<alt (+ (exp a) 1)>
#<alt (+ (/ 1 (+ 1 (exp b))) (* a (+ (/ 1 (+ 1 (exp b))) (/ -1 (pow (+ 1 (exp b)) 2)))))>
#<alt (* a (+ (/ 1 (+ 1 (exp b))) (/ -1 (pow (+ 1 (exp b)) 2))))>
#<alt (+ (/ 1 (+ 1 (exp b))) (/ -1 (pow (+ 1 (exp b)) 2)))>
#<alt (pow (pow (/ (exp a) (+ (exp a) (exp b))) 1/2) 2)>
#<alt (pow (/ (exp a) (+ (exp a) (exp b))) 1/2)>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (+ (exp a) (exp b))>
#<alt (pow (+ 1 (exp b)) 2)>
#<alt (/ -1 (pow (+ 1 (exp b)) 2))>
Outputs
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (+ (/ 1 (+ 1 (exp b))) (/ (* a (- 1 (/ 1 (+ 1 (exp b))))) (+ 1 (exp b))))>
#<alt (+ (* a (- (+ (/ 1 (+ 1 (exp b))) (/ (* a (+ (* -1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (* 1/2 (pow (- 1 (/ 1 (+ 1 (exp b)))) 2)))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (+ (* a (- (+ (* a (+ (* -1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (+ (* 1/2 (/ (pow (- 1 (/ 1 (+ 1 (exp b)))) 2) (+ 1 (exp b)))) (/ (* a (+ (* -1/2 (* (- 1 (/ 1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (+ (* -1/6 (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2))))) (* 1/6 (pow (- 1 (/ 1 (+ 1 (exp b)))) 3))))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (exp (+ a (* -1 (log (+ (exp a) (exp b))))))>
#<alt (exp (+ a (* -1 (log (+ (exp a) (exp b))))))>
#<alt (exp (+ a (* -1 (log (+ (exp a) (exp b))))))>
#<alt (exp (+ a (* -1 (log (+ (exp a) (exp b))))))>
#<alt (exp (- (* -1 (log (+ (exp a) (exp b)))) (* -1 a)))>
#<alt (exp (- (* -1 (log (+ (exp a) (exp b)))) (* -1 a)))>
#<alt (exp (- (* -1 (log (+ (exp a) (exp b)))) (* -1 a)))>
#<alt (exp (- (* -1 (log (+ (exp a) (exp b)))) (* -1 a)))>
#<alt (exp (+ a (* -1 (log (+ 1 (exp a))))))>
#<alt (+ (exp (+ a (* -1 (log (+ 1 (exp a)))))) (* -1 (/ (* b (exp (+ a (* -1 (log (+ 1 (exp a))))))) (+ 1 (exp a)))))>
#<alt (+ (exp (+ a (* -1 (log (+ 1 (exp a)))))) (* b (+ (* -1 (/ (exp (+ a (* -1 (log (+ 1 (exp a)))))) (+ 1 (exp a)))) (* b (* (exp (+ a (* -1 (log (+ 1 (exp a)))))) (+ (* -1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))))))>
#<alt (+ (exp (+ a (* -1 (log (+ 1 (exp a)))))) (* b (+ (* -1 (/ (exp (+ a (* -1 (log (+ 1 (exp a)))))) (+ 1 (exp a)))) (* b (+ (* b (* (exp (+ a (* -1 (log (+ 1 (exp a)))))) (- (+ (* -1/6 (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2))))) (* 1/2 (/ (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))) (+ 1 (exp a))))) (* 1/6 (/ 1 (pow (+ 1 (exp a)) 3)))))) (* (exp (+ a (* -1 (log (+ 1 (exp a)))))) (+ (* -1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))))))))>
#<alt (exp (+ a (* -1 (log (+ (exp a) (exp b))))))>
#<alt (exp (+ a (* -1 (log (+ (exp a) (exp b))))))>
#<alt (exp (+ a (* -1 (log (+ (exp a) (exp b))))))>
#<alt (exp (+ a (* -1 (log (+ (exp a) (exp b))))))>
#<alt (exp (+ a (* -1 (log (+ (exp a) (exp b))))))>
#<alt (exp (+ a (* -1 (log (+ (exp a) (exp b))))))>
#<alt (exp (+ a (* -1 (log (+ (exp a) (exp b))))))>
#<alt (exp (+ a (* -1 (log (+ (exp a) (exp b))))))>
#<alt (* -1 (log (+ 1 (exp b))))>
#<alt (+ (* -1 (log (+ 1 (exp b)))) (* a (- 1 (/ 1 (+ 1 (exp b))))))>
#<alt (+ (* -1 (log (+ 1 (exp b)))) (* a (- (+ 1 (* -1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))>
#<alt (+ (* -1 (log (+ 1 (exp b)))) (* a (- (+ 1 (* a (+ (* -1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (* -1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2))))))))) (/ 1 (+ 1 (exp b))))))>
#<alt a>
#<alt (* a (+ 1 (* -1 (/ (log (+ (exp a) (exp b))) a))))>
#<alt (* a (+ 1 (* -1 (/ (log (+ (exp a) (exp b))) a))))>
#<alt (* a (+ 1 (* -1 (/ (log (+ (exp a) (exp b))) a))))>
#<alt a>
#<alt (* -1 (* a (- (/ (log (+ (exp a) (exp b))) a) 1)))>
#<alt (* -1 (* a (- (/ (log (+ (exp a) (exp b))) a) 1)))>
#<alt (* -1 (* a (- (/ (log (+ (exp a) (exp b))) a) 1)))>
#<alt (+ a (* -1 (log (+ 1 (exp a)))))>
#<alt (+ a (+ (* -1 (log (+ 1 (exp a)))) (* -1 (/ b (+ 1 (exp a))))))>
#<alt (+ a (+ (* -1 (log (+ 1 (exp a)))) (* b (- (* -1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))))>
#<alt (+ a (+ (* -1 (log (+ 1 (exp a)))) (* b (- (* b (+ (* -1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (* -1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))))) (/ 1 (+ 1 (exp a)))))))>
#<alt (+ a (* -1 (log (+ (exp a) (exp b)))))>
#<alt (+ a (* -1 (log (+ (exp a) (exp b)))))>
#<alt (+ a (* -1 (log (+ (exp a) (exp b)))))>
#<alt (+ a (* -1 (log (+ (exp a) (exp b)))))>
#<alt (+ a (* -1 (log (+ (exp a) (exp b)))))>
#<alt (+ a (* -1 (log (+ (exp a) (exp b)))))>
#<alt (+ a (* -1 (log (+ (exp a) (exp b)))))>
#<alt (+ a (* -1 (log (+ (exp a) (exp b)))))>
#<alt (* -1 (log (+ 1 (exp b))))>
#<alt (+ (* -1 (log (+ 1 (exp b)))) (* -1 (/ a (+ 1 (exp b)))))>
#<alt (+ (* -1 (log (+ 1 (exp b)))) (* a (- (* -1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))>
#<alt (+ (* -1 (log (+ 1 (exp b)))) (* a (- (* a (+ (* -1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (* -1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))))) (/ 1 (+ 1 (exp b))))))>
#<alt (* -1 (log (+ (exp a) (exp b))))>
#<alt (* -1 (log (+ (exp a) (exp b))))>
#<alt (* -1 (log (+ (exp a) (exp b))))>
#<alt (* -1 (log (+ (exp a) (exp b))))>
#<alt (* -1 (log (+ (exp a) (exp b))))>
#<alt (* -1 (log (+ (exp a) (exp b))))>
#<alt (* -1 (log (+ (exp a) (exp b))))>
#<alt (* -1 (log (+ (exp a) (exp b))))>
#<alt (* -1 (log (+ 1 (exp a))))>
#<alt (+ (* -1 (log (+ 1 (exp a)))) (* -1 (/ b (+ 1 (exp a)))))>
#<alt (+ (* -1 (log (+ 1 (exp a)))) (* b (- (* -1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))>
#<alt (+ (* -1 (log (+ 1 (exp a)))) (* b (- (* b (+ (* -1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (* -1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))))) (/ 1 (+ 1 (exp a))))))>
#<alt (* -1 (log (+ (exp a) (exp b))))>
#<alt (* -1 (log (+ (exp a) (exp b))))>
#<alt (* -1 (log (+ (exp a) (exp b))))>
#<alt (* -1 (log (+ (exp a) (exp b))))>
#<alt (* -1 (log (+ (exp a) (exp b))))>
#<alt (* -1 (log (+ (exp a) (exp b))))>
#<alt (* -1 (log (+ (exp a) (exp b))))>
#<alt (* -1 (log (+ (exp a) (exp b))))>
#<alt (log (+ 1 (exp b)))>
#<alt (+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))>
#<alt (+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))>
#<alt (+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ 1 (exp a)))>
#<alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))>
#<alt (+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))>
#<alt (+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ (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 1>
#<alt (+ 1 a)>
#<alt (+ 1 (* a (+ 1 (* 1/2 a))))>
#<alt (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt 2>
#<alt (+ 2 a)>
#<alt (+ 2 (* a (+ 1 (* 1/2 a))))>
#<alt (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1/2 (* 1/4 a))>
#<alt (+ 1/2 (+ (* -1/4 b) (* 1/4 a)))>
#<alt (+ 1/2 (+ (* 1/4 a) (* b (- (* -1/16 (* a b)) 1/4))))>
#<alt (+ 1/2 (+ (* 1/4 a) (* b (- (* b (+ (* -1/16 a) (* 1/48 b))) 1/4))))>
#<alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))>
#<alt (* a (- (+ (/ 1 (* a (+ 1 (exp b)))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2))))>
#<alt (* a (- (+ (/ 1 (* a (+ 1 (exp b)))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2))))>
#<alt (* a (- (+ (/ 1 (* a (+ 1 (exp b)))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2))))>
#<alt (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))>
#<alt (* -1 (* a (- (* -1 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (* a (+ 1 (exp b)))))))>
#<alt (* -1 (* a (- (* -1 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (* a (+ 1 (exp b)))))))>
#<alt (* -1 (* a (- (* -1 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (* a (+ 1 (exp b)))))))>
#<alt (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))>
#<alt (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))>
#<alt (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))>
#<alt (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))>
#<alt (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))>
#<alt (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))>
#<alt (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))>
#<alt (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))>
#<alt (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))>
#<alt (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))>
#<alt (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))>
#<alt (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))>
#<alt (* 1/4 a)>
#<alt (+ (* -1/16 (* a (pow b 2))) (* 1/4 a))>
#<alt (+ (* 1/4 a) (* (pow b 2) (+ (* -1/16 a) (* 1/96 (* a (pow b 2))))))>
#<alt (+ (* 1/4 a) (* (pow b 2) (+ (* -1/16 a) (* (pow b 2) (+ (* -17/11520 (* a (pow b 2))) (* 1/96 a))))))>
#<alt (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))>
#<alt (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))>
#<alt (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))>
#<alt (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))>
#<alt (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))>
#<alt (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))>
#<alt (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))>
#<alt (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))>
#<alt 1/4>
#<alt (+ 1/4 (* -1/16 (pow b 2)))>
#<alt (+ 1/4 (* (pow b 2) (- (* 1/96 (pow b 2)) 1/16)))>
#<alt (+ 1/4 (* (pow b 2) (- (* (pow b 2) (+ 1/96 (* -17/11520 (pow b 2)))) 1/16)))>
#<alt (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))>
#<alt (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))>
#<alt (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))>
#<alt (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))>
#<alt (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))>
#<alt (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))>
#<alt (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))>
#<alt (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))>
#<alt (/ 1 (+ 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 (sqrt (/ 1 (+ 1 (exp b))))>
#<alt (+ (sqrt (/ 1 (+ 1 (exp b)))) (* 1/2 (* (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (sqrt (+ 1 (exp b))))))>
#<alt (+ (sqrt (/ 1 (+ 1 (exp b)))) (* a (+ (* 1/2 (* (sqrt (+ 1 (exp b))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (* 1/2 (* (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (+ (* 1/4 (* (+ 1 (exp b)) (pow (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) 2))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2)))))) (sqrt (+ 1 (exp b))))))))>
#<alt (+ (sqrt (/ 1 (+ 1 (exp b)))) (* a (+ (* 1/2 (* (sqrt (+ 1 (exp b))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (* a (+ (* 1/2 (* (sqrt (+ 1 (exp b))) (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (+ (* 1/4 (* (+ 1 (exp b)) (pow (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) 2))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))))) (* 1/2 (* (* 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 (exp b)) (* (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (+ (* 1/4 (* (+ 1 (exp b)) (pow (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) 2))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (- (/ 1 (+ 1 (exp b))) (/ 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)))))))) (sqrt (+ 1 (exp b))))))))))>
#<alt (sqrt (/ (exp a) (+ (exp a) (exp b))))>
#<alt (sqrt (/ (exp a) (+ (exp a) (exp b))))>
#<alt (sqrt (/ (exp a) (+ (exp a) (exp b))))>
#<alt (sqrt (/ (exp a) (+ (exp a) (exp b))))>
#<alt (sqrt (/ (exp a) (+ (exp a) (exp b))))>
#<alt (sqrt (/ (exp a) (+ (exp a) (exp b))))>
#<alt (sqrt (/ (exp a) (+ (exp a) (exp b))))>
#<alt (sqrt (/ (exp a) (+ (exp a) (exp b))))>
#<alt (sqrt (/ (exp a) (+ 1 (exp a))))>
#<alt (+ (sqrt (/ (exp a) (+ 1 (exp a)))) (* -1/2 (* b (sqrt (/ (exp a) (pow (+ 1 (exp a)) 3))))))>
#<alt (+ (sqrt (/ (exp a) (+ 1 (exp a)))) (* b (+ (* -1/2 (sqrt (/ (exp a) (pow (+ 1 (exp a)) 3)))) (* -1/2 (* (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (+ (* 1/4 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (sqrt (/ (+ 1 (exp a)) (exp a))))))))>
#<alt (+ (sqrt (/ (exp a) (+ 1 (exp a)))) (* b (+ (* -1/2 (sqrt (/ (exp a) (pow (+ 1 (exp a)) 3)))) (* b (+ (* -1/2 (* (sqrt (/ (+ 1 (exp a)) (exp a))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (+ (* 1/4 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (* -1/2 (* (* 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))) (* 1/2 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (+ (* 1/4 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2))))) (+ 1 (exp a)))))))) (sqrt (/ (+ 1 (exp a)) (exp a))))))))))>
#<alt (sqrt (/ (exp a) (+ (exp a) (exp b))))>
#<alt (sqrt (/ (exp a) (+ (exp a) (exp b))))>
#<alt (sqrt (/ (exp a) (+ (exp a) (exp b))))>
#<alt (sqrt (/ (exp a) (+ (exp a) (exp b))))>
#<alt (sqrt (/ (exp a) (+ (exp a) (exp b))))>
#<alt (sqrt (/ (exp a) (+ (exp a) (exp b))))>
#<alt (sqrt (/ (exp a) (+ (exp a) (exp b))))>
#<alt (sqrt (/ (exp a) (+ (exp a) (exp b))))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 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 (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 4>
#<alt (+ 4 (* 4 b))>
#<alt (+ 4 (* b (+ 4 (* 3 b))))>
#<alt (+ 4 (* b (+ 4 (* b (+ 3 (* 5/3 b))))))>
#<alt (pow (+ 1 (exp b)) 2)>
#<alt (pow (+ 1 (exp b)) 2)>
#<alt (pow (+ 1 (exp b)) 2)>
#<alt (pow (+ 1 (exp b)) 2)>
#<alt (pow (+ 1 (exp b)) 2)>
#<alt (pow (+ 1 (exp b)) 2)>
#<alt (pow (+ 1 (exp b)) 2)>
#<alt (pow (+ 1 (exp b)) 2)>
#<alt -1/4>
#<alt (- (* 1/4 b) 1/4)>
#<alt (- (* b (+ 1/4 (* -1/16 b))) 1/4)>
#<alt (- (* b (+ 1/4 (* b (- (* -1/48 b) 1/16)))) 1/4)>
#<alt (/ -1 (pow (+ 1 (exp b)) 2))>
#<alt (/ -1 (pow (+ 1 (exp b)) 2))>
#<alt (/ -1 (pow (+ 1 (exp b)) 2))>
#<alt (/ -1 (pow (+ 1 (exp b)) 2))>
#<alt (/ -1 (pow (+ 1 (exp b)) 2))>
#<alt (/ -1 (pow (+ 1 (exp b)) 2))>
#<alt (/ -1 (pow (+ 1 (exp b)) 2))>
#<alt (/ -1 (pow (+ 1 (exp b)) 2))>
Calls

87 calls:

TimeVariablePointExpression
47.0ms
a
@-inf
(* (log (+ (exp a) (exp b))) -1)
35.0ms
b
@inf
(exp (+ (* (log (+ (exp a) (exp b))) -1) a))
26.0ms
b
@-inf
(exp (+ (* (log (+ (exp a) (exp b))) -1) a))
14.0ms
a
@inf
(* (log (+ (exp a) (exp b))) -1)
3.0ms
a
@inf
(+ (* (log (+ (exp a) (exp b))) -1) a)

rewrite401.0ms (4%)

Algorithm
1×batch-egg-rewrite
Rules
3506×/-lowering-/.f32
3506×/-lowering-/.f64
3412×*-lowering-*.f32
3412×*-lowering-*.f64
2228×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
025157
1165145
21554141
08733141
Stop Event
1×iter limit
1×node limit
Counts
19 → 651
Calls
Call 1
Inputs
(exp (+ (* (log (+ (exp a) (exp b))) -1) a))
(+ (* (log (+ (exp a) (exp b))) -1) a)
(* (log (+ (exp a) (exp b))) -1)
(log (+ (exp a) (exp b)))
(/ 1 (+ 1 (exp b)))
(+ 1 (exp b))
(exp b)
(/ (exp a) (+ (exp a) 1))
(exp a)
(+ (exp a) 1)
(+ (/ 1 (+ 1 (exp b))) (* a (+ (/ 1 (+ 1 (exp b))) (/ -1 (pow (+ 1 (exp b)) 2)))))
(* a (+ (/ 1 (+ 1 (exp b))) (/ -1 (pow (+ 1 (exp b)) 2))))
(+ (/ 1 (+ 1 (exp b))) (/ -1 (pow (+ 1 (exp b)) 2)))
(pow (pow (/ (exp a) (+ (exp a) (exp b))) 1/2) 2)
(pow (/ (exp a) (+ (exp a) (exp b))) 1/2)
(/ (exp a) (+ (exp a) (exp b)))
(+ (exp a) (exp b))
(pow (+ 1 (exp b)) 2)
(/ -1 (pow (+ 1 (exp b)) 2))
Outputs
(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(exp.f64 (*.f64 (-.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) a) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(fabs.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))
(sqrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 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 #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)) (exp.f64 a)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (exp.f64 (/.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (-.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))) a))) (exp.f64 (/.f64 (*.f64 a a) (-.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))) a))))
(/.f64 (exp.f64 (+.f64 (log.f64 #s(literal -1 binary64)) a)) (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 a) (exp.f64 b))))))
(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (+.f64 (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))) #s(literal 3 binary64)) (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (*.f64 a (-.f64 a (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))))))))
(pow.f64 (exp.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))) a)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))
(*.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 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (/.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 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (pow.f64 (/.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 3/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 3/4 binary64)) (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1/4 binary64)))
(*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (-.f64 (+.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 (exp.f64 a) (exp.f64 b)))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 3/4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (/.f64 (exp.f64 a) (+.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 (*.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64)))) (exp.f64 (+.f64 a b))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64))))) #s(literal 1 binary64)) (pow.f64 (-.f64 (exp.f64 a) (exp.f64 b)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (exp.f64 (*.f64 a #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(log.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))
(+.f64 a (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))))
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))) a)
(+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (*.f64 #s(literal 1/2 binary64) (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))
(+.f64 #s(literal 0 binary64) (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(+.f64 (*.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) #s(literal 1/4 binary64)) (log.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 3/4 binary64))))
(+.f64 (+.f64 (log.f64 #s(literal -1 binary64)) a) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 a) (exp.f64 b))))))
(+.f64 (log.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 3/4 binary64))) (*.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) #s(literal 1/4 binary64)))
(+.f64 (log.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))) (log.f64 (-.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64)))) (exp.f64 (+.f64 a b)))))
(+.f64 (log.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64)))))) (log.f64 (-.f64 (exp.f64 a) (exp.f64 b))))
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(*.f64 (+.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 (*.f64 a #s(literal 2 binary64))) (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))))
(+.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) (*.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b)))
(+.f64 (*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))) (*.f64 (exp.f64 b) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
(+.f64 (*.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b)) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
(+.f64 (*.f64 (exp.f64 b) (+.f64 (exp.f64 b) #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 b))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 b))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log1p.f64 (exp.f64 b)) (log1p.f64 (exp.f64 b))))
(fma.f64 (exp.f64 b) (+.f64 (exp.f64 b) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)) (*.f64 (exp.f64 b) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
(fma.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
(fma.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b)))
(fma.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 (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b)))
(fma.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 (+.f64 (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b)))
(fma.f64 (sqrt.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64))) (*.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b)))
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64)))) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) (expm1.f64 b))) #s(literal 2 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 2 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) (expm1.f64 b))) (-.f64 #s(literal 1 binary64) (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 (-.f64 #s(literal 1 binary64) (exp.f64 b)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) (expm1.f64 b)))))
(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))
(/.f64 (*.f64 (+.f64 (exp.f64 b) #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 (+.f64 (exp.f64 b) #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 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (+.f64 (exp.f64 b) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) (expm1.f64 b))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 2 binary64)))) (+.f64 (exp.f64 b) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 b)))
(pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 b))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 b)))
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64)))
(*.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
(*.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 b))) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 b))))
(*.f64 (*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) (expm1.f64 b)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(neg.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -2 binary64)))
(/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
(pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -2 binary64)))
(*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 b)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))) (pow.f64 (/.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 b)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))

simplify267.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
4110×*-lowering-*.f32
4110×*-lowering-*.f64
2620×+-lowering-+.f64
2620×+-lowering-+.f32
2086×sum3-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04644927
114854556
252264430
086334430
Stop Event
1×iter limit
1×node limit
Counts
348 → 348
Calls
Call 1
Inputs
(/ 1 (+ 1 (exp b)))
(+ (/ 1 (+ 1 (exp b))) (/ (* a (- 1 (/ 1 (+ 1 (exp b))))) (+ 1 (exp b))))
(+ (* a (- (+ (/ 1 (+ 1 (exp b))) (/ (* a (+ (* -1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (* 1/2 (pow (- 1 (/ 1 (+ 1 (exp b)))) 2)))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (+ (* -1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (+ (* 1/2 (/ (pow (- 1 (/ 1 (+ 1 (exp b)))) 2) (+ 1 (exp b)))) (/ (* a (+ (* -1/2 (* (- 1 (/ 1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (+ (* -1/6 (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2))))) (* 1/6 (pow (- 1 (/ 1 (+ 1 (exp b)))) 3))))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(exp (- (* -1 (log (+ (exp a) (exp b)))) (* -1 a)))
(exp (- (* -1 (log (+ (exp a) (exp b)))) (* -1 a)))
(exp (- (* -1 (log (+ (exp a) (exp b)))) (* -1 a)))
(exp (- (* -1 (log (+ (exp a) (exp b)))) (* -1 a)))
(exp (+ a (* -1 (log (+ 1 (exp a))))))
(+ (exp (+ a (* -1 (log (+ 1 (exp a)))))) (* -1 (/ (* b (exp (+ a (* -1 (log (+ 1 (exp a))))))) (+ 1 (exp a)))))
(+ (exp (+ a (* -1 (log (+ 1 (exp a)))))) (* b (+ (* -1 (/ (exp (+ a (* -1 (log (+ 1 (exp a)))))) (+ 1 (exp a)))) (* b (* (exp (+ a (* -1 (log (+ 1 (exp a)))))) (+ (* -1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))))))
(+ (exp (+ a (* -1 (log (+ 1 (exp a)))))) (* b (+ (* -1 (/ (exp (+ a (* -1 (log (+ 1 (exp a)))))) (+ 1 (exp a)))) (* b (+ (* b (* (exp (+ a (* -1 (log (+ 1 (exp a)))))) (- (+ (* -1/6 (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2))))) (* 1/2 (/ (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))) (+ 1 (exp a))))) (* 1/6 (/ 1 (pow (+ 1 (exp a)) 3)))))) (* (exp (+ a (* -1 (log (+ 1 (exp a)))))) (+ (* -1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))))))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(* -1 (log (+ 1 (exp b))))
(+ (* -1 (log (+ 1 (exp b)))) (* a (- 1 (/ 1 (+ 1 (exp b))))))
(+ (* -1 (log (+ 1 (exp b)))) (* a (- (+ 1 (* -1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))
(+ (* -1 (log (+ 1 (exp b)))) (* a (- (+ 1 (* a (+ (* -1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (* -1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2))))))))) (/ 1 (+ 1 (exp b))))))
a
(* a (+ 1 (* -1 (/ (log (+ (exp a) (exp b))) a))))
(* a (+ 1 (* -1 (/ (log (+ (exp a) (exp b))) a))))
(* a (+ 1 (* -1 (/ (log (+ (exp a) (exp b))) a))))
a
(* -1 (* a (- (/ (log (+ (exp a) (exp b))) a) 1)))
(* -1 (* a (- (/ (log (+ (exp a) (exp b))) a) 1)))
(* -1 (* a (- (/ (log (+ (exp a) (exp b))) a) 1)))
(+ a (* -1 (log (+ 1 (exp a)))))
(+ a (+ (* -1 (log (+ 1 (exp a)))) (* -1 (/ b (+ 1 (exp a))))))
(+ a (+ (* -1 (log (+ 1 (exp a)))) (* b (- (* -1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))))
(+ a (+ (* -1 (log (+ 1 (exp a)))) (* b (- (* b (+ (* -1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (* -1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))))) (/ 1 (+ 1 (exp a)))))))
(+ a (* -1 (log (+ (exp a) (exp b)))))
(+ a (* -1 (log (+ (exp a) (exp b)))))
(+ a (* -1 (log (+ (exp a) (exp b)))))
(+ a (* -1 (log (+ (exp a) (exp b)))))
(+ a (* -1 (log (+ (exp a) (exp b)))))
(+ a (* -1 (log (+ (exp a) (exp b)))))
(+ a (* -1 (log (+ (exp a) (exp b)))))
(+ a (* -1 (log (+ (exp a) (exp b)))))
(* -1 (log (+ 1 (exp b))))
(+ (* -1 (log (+ 1 (exp b)))) (* -1 (/ a (+ 1 (exp b)))))
(+ (* -1 (log (+ 1 (exp b)))) (* a (- (* -1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))
(+ (* -1 (log (+ 1 (exp b)))) (* a (- (* a (+ (* -1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (* -1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))))) (/ 1 (+ 1 (exp b))))))
(* -1 (log (+ (exp a) (exp b))))
(* -1 (log (+ (exp a) (exp b))))
(* -1 (log (+ (exp a) (exp b))))
(* -1 (log (+ (exp a) (exp b))))
(* -1 (log (+ (exp a) (exp b))))
(* -1 (log (+ (exp a) (exp b))))
(* -1 (log (+ (exp a) (exp b))))
(* -1 (log (+ (exp a) (exp b))))
(* -1 (log (+ 1 (exp a))))
(+ (* -1 (log (+ 1 (exp a)))) (* -1 (/ b (+ 1 (exp a)))))
(+ (* -1 (log (+ 1 (exp a)))) (* b (- (* -1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))
(+ (* -1 (log (+ 1 (exp a)))) (* b (- (* b (+ (* -1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (* -1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))))) (/ 1 (+ 1 (exp a))))))
(* -1 (log (+ (exp a) (exp b))))
(* -1 (log (+ (exp a) (exp b))))
(* -1 (log (+ (exp a) (exp b))))
(* -1 (log (+ (exp a) (exp b))))
(* -1 (log (+ (exp a) (exp b))))
(* -1 (log (+ (exp a) (exp b))))
(* -1 (log (+ (exp a) (exp b))))
(* -1 (log (+ (exp a) (exp b))))
(log (+ 1 (exp b)))
(+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))
(+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))
(+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ 1 (exp a)))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))
(+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
1/2
(+ 1/2 (* -1/4 b))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
2
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
1
(+ 1 b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
1/2
(+ 1/2 (* 1/4 a))
(+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))
(+ 1/2 (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))))
(/ (exp a) (+ 1 (exp a)))
(/ (exp a) (+ 1 (exp a)))
(/ (exp a) (+ 1 (exp a)))
(/ (exp a) (+ 1 (exp a)))
(/ (exp a) (+ 1 (exp a)))
(/ (exp a) (+ 1 (exp a)))
(/ (exp a) (+ 1 (exp a)))
(/ (exp a) (+ 1 (exp a)))
1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
2
(+ 2 a)
(+ 2 (* a (+ 1 (* 1/2 a))))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1/2 (* 1/4 a))
(+ 1/2 (+ (* -1/4 b) (* 1/4 a)))
(+ 1/2 (+ (* 1/4 a) (* b (- (* -1/16 (* a b)) 1/4))))
(+ 1/2 (+ (* 1/4 a) (* b (- (* b (+ (* -1/16 a) (* 1/48 b))) 1/4))))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(/ 1 (+ 1 (exp b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))
(* a (- (+ (/ 1 (* a (+ 1 (exp b)))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2))))
(* a (- (+ (/ 1 (* a (+ 1 (exp b)))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2))))
(* a (- (+ (/ 1 (* a (+ 1 (exp b)))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2))))
(* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))
(* -1 (* a (- (* -1 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (* a (+ 1 (exp b)))))))
(* -1 (* a (- (* -1 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (* a (+ 1 (exp b)))))))
(* -1 (* a (- (* -1 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (* a (+ 1 (exp b)))))))
(* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))
(* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))
(* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))
(* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))
(* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))
(* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))
(* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))
(* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))
(* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))
(* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))
(* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))
(* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))
(* 1/4 a)
(+ (* -1/16 (* a (pow b 2))) (* 1/4 a))
(+ (* 1/4 a) (* (pow b 2) (+ (* -1/16 a) (* 1/96 (* a (pow b 2))))))
(+ (* 1/4 a) (* (pow b 2) (+ (* -1/16 a) (* (pow b 2) (+ (* -17/11520 (* a (pow b 2))) (* 1/96 a))))))
(* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))
(* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))
(* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))
(* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))
(* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))
(* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))
(* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))
(* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))
1/4
(+ 1/4 (* -1/16 (pow b 2)))
(+ 1/4 (* (pow b 2) (- (* 1/96 (pow b 2)) 1/16)))
(+ 1/4 (* (pow b 2) (- (* (pow b 2) (+ 1/96 (* -17/11520 (pow b 2)))) 1/16)))
(- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))
(- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))
(- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))
(- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))
(- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))
(- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))
(- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))
(- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))
(/ 1 (+ 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)))
(sqrt (/ 1 (+ 1 (exp b))))
(+ (sqrt (/ 1 (+ 1 (exp b)))) (* 1/2 (* (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (sqrt (+ 1 (exp b))))))
(+ (sqrt (/ 1 (+ 1 (exp b)))) (* a (+ (* 1/2 (* (sqrt (+ 1 (exp b))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (* 1/2 (* (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (+ (* 1/4 (* (+ 1 (exp b)) (pow (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) 2))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2)))))) (sqrt (+ 1 (exp b))))))))
(+ (sqrt (/ 1 (+ 1 (exp b)))) (* a (+ (* 1/2 (* (sqrt (+ 1 (exp b))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (* a (+ (* 1/2 (* (sqrt (+ 1 (exp b))) (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (+ (* 1/4 (* (+ 1 (exp b)) (pow (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) 2))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))))) (* 1/2 (* (* 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 (exp b)) (* (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (+ (* 1/4 (* (+ 1 (exp b)) (pow (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) 2))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (- (/ 1 (+ 1 (exp b))) (/ 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)))))))) (sqrt (+ 1 (exp b))))))))))
(sqrt (/ (exp a) (+ (exp a) (exp b))))
(sqrt (/ (exp a) (+ (exp a) (exp b))))
(sqrt (/ (exp a) (+ (exp a) (exp b))))
(sqrt (/ (exp a) (+ (exp a) (exp b))))
(sqrt (/ (exp a) (+ (exp a) (exp b))))
(sqrt (/ (exp a) (+ (exp a) (exp b))))
(sqrt (/ (exp a) (+ (exp a) (exp b))))
(sqrt (/ (exp a) (+ (exp a) (exp b))))
(sqrt (/ (exp a) (+ 1 (exp a))))
(+ (sqrt (/ (exp a) (+ 1 (exp a)))) (* -1/2 (* b (sqrt (/ (exp a) (pow (+ 1 (exp a)) 3))))))
(+ (sqrt (/ (exp a) (+ 1 (exp a)))) (* b (+ (* -1/2 (sqrt (/ (exp a) (pow (+ 1 (exp a)) 3)))) (* -1/2 (* (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (+ (* 1/4 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (sqrt (/ (+ 1 (exp a)) (exp a))))))))
(+ (sqrt (/ (exp a) (+ 1 (exp a)))) (* b (+ (* -1/2 (sqrt (/ (exp a) (pow (+ 1 (exp a)) 3)))) (* b (+ (* -1/2 (* (sqrt (/ (+ 1 (exp a)) (exp a))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (+ (* 1/4 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (* -1/2 (* (* 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))) (* 1/2 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (+ (* 1/4 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2))))) (+ 1 (exp a)))))))) (sqrt (/ (+ 1 (exp a)) (exp a))))))))))
(sqrt (/ (exp a) (+ (exp a) (exp b))))
(sqrt (/ (exp a) (+ (exp a) (exp b))))
(sqrt (/ (exp a) (+ (exp a) (exp b))))
(sqrt (/ (exp a) (+ (exp a) (exp b))))
(sqrt (/ (exp a) (+ (exp a) (exp b))))
(sqrt (/ (exp a) (+ (exp a) (exp b))))
(sqrt (/ (exp a) (+ (exp a) (exp b))))
(sqrt (/ (exp a) (+ (exp a) (exp b))))
(/ 1 (+ 1 (exp b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ 1 (exp a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(+ 1 (exp b))
(+ 1 (+ a (exp b)))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ 1 (exp a))
(+ 1 (+ b (exp a)))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
4
(+ 4 (* 4 b))
(+ 4 (* b (+ 4 (* 3 b))))
(+ 4 (* b (+ 4 (* b (+ 3 (* 5/3 b))))))
(pow (+ 1 (exp b)) 2)
(pow (+ 1 (exp b)) 2)
(pow (+ 1 (exp b)) 2)
(pow (+ 1 (exp b)) 2)
(pow (+ 1 (exp b)) 2)
(pow (+ 1 (exp b)) 2)
(pow (+ 1 (exp b)) 2)
(pow (+ 1 (exp b)) 2)
-1/4
(- (* 1/4 b) 1/4)
(- (* b (+ 1/4 (* -1/16 b))) 1/4)
(- (* b (+ 1/4 (* b (- (* -1/48 b) 1/16)))) 1/4)
(/ -1 (pow (+ 1 (exp b)) 2))
(/ -1 (pow (+ 1 (exp b)) 2))
(/ -1 (pow (+ 1 (exp b)) 2))
(/ -1 (pow (+ 1 (exp b)) 2))
(/ -1 (pow (+ 1 (exp b)) 2))
(/ -1 (pow (+ 1 (exp b)) 2))
(/ -1 (pow (+ 1 (exp b)) 2))
(/ -1 (pow (+ 1 (exp b)) 2))
Outputs
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ (/ 1 (+ 1 (exp b))) (/ (* a (- 1 (/ 1 (+ 1 (exp b))))) (+ 1 (exp b))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 (-.f64 a (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(+ (* a (- (+ (/ 1 (+ 1 (exp b))) (/ (* a (+ (* -1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (* 1/2 (pow (- 1 (/ 1 (+ 1 (exp b)))) 2)))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (*.f64 a (+.f64 (*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) #s(literal 2 binary64)))) (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (+.f64 #s(literal 1 binary64) (exp.f64 b))))))
(+ (* a (- (+ (* a (+ (* -1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (+ (* 1/2 (/ (pow (- 1 (/ 1 (+ 1 (exp b)))) 2) (+ 1 (exp b)))) (/ (* a (+ (* -1/2 (* (- 1 (/ 1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (+ (* -1/6 (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2))))) (* 1/6 (pow (- 1 (/ 1 (+ 1 (exp b)))) 3))))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+.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) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (*.f64 a (+.f64 (*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal -3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) #s(literal 3 binary64))))) (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (+.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b))))))))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(exp (- (* -1 (log (+ (exp a) (exp b)))) (* -1 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(exp (- (* -1 (log (+ (exp a) (exp b)))) (* -1 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(exp (- (* -1 (log (+ (exp a) (exp b)))) (* -1 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(exp (- (* -1 (log (+ (exp a) (exp b)))) (* -1 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(exp (+ a (* -1 (log (+ 1 (exp a))))))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ (exp (+ a (* -1 (log (+ 1 (exp a)))))) (* -1 (/ (* b (exp (+ a (* -1 (log (+ 1 (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))))
(+ (exp (+ a (* -1 (log (+ 1 (exp a)))))) (* b (+ (* -1 (/ (exp (+ a (* -1 (log (+ 1 (exp a)))))) (+ 1 (exp a)))) (* b (* (exp (+ a (* -1 (log (+ 1 (exp a)))))) (+ (* -1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))))))
(+.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 b (-.f64 (*.f64 (*.f64 (exp.f64 a) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))))
(+ (exp (+ a (* -1 (log (+ 1 (exp a)))))) (* b (+ (* -1 (/ (exp (+ a (* -1 (log (+ 1 (exp a)))))) (+ 1 (exp a)))) (* b (+ (* b (* (exp (+ a (* -1 (log (+ 1 (exp a)))))) (- (+ (* -1/6 (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2))))) (* 1/2 (/ (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))) (+ 1 (exp a))))) (* 1/6 (/ 1 (pow (+ 1 (exp a)) 3)))))) (* (exp (+ a (* -1 (log (+ 1 (exp a)))))) (+ (* -1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))))))))
(+.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 b (-.f64 (*.f64 b (+.f64 (*.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) (*.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 b (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))))) (/.f64 #s(literal -1/6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))))))))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(* -1 (log (+ 1 (exp b))))
(-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 b)))
(+ (* -1 (log (+ 1 (exp b)))) (* a (- 1 (/ 1 (+ 1 (exp b))))))
(-.f64 (-.f64 a (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (log1p.f64 (exp.f64 b)))
(+ (* -1 (log (+ 1 (exp b)))) (* a (- (+ 1 (* -1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))
(-.f64 (*.f64 a (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 a (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))) (log1p.f64 (exp.f64 b)))
(+ (* -1 (log (+ 1 (exp b)))) (* a (- (+ 1 (* a (+ (* -1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (* -1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2))))))))) (/ 1 (+ 1 (exp b))))))
(-.f64 (*.f64 a (+.f64 (*.f64 a (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal -3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) (*.f64 a #s(literal -1/6 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))) (log1p.f64 (exp.f64 b)))
a
(* a (+ 1 (* -1 (/ (log (+ (exp a) (exp b))) a))))
(*.f64 a (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) a)))
(* a (+ 1 (* -1 (/ (log (+ (exp a) (exp b))) a))))
(*.f64 a (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) a)))
(* a (+ 1 (* -1 (/ (log (+ (exp a) (exp b))) a))))
(*.f64 a (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) a)))
a
(* -1 (* a (- (/ (log (+ (exp a) (exp b))) a) 1)))
(*.f64 a (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) a)))
(* -1 (* a (- (/ (log (+ (exp a) (exp b))) a) 1)))
(*.f64 a (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) a)))
(* -1 (* a (- (/ (log (+ (exp a) (exp b))) a) 1)))
(*.f64 a (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) a)))
(+ a (* -1 (log (+ 1 (exp a)))))
(-.f64 a (log1p.f64 (exp.f64 a)))
(+ a (+ (* -1 (log (+ 1 (exp a)))) (* -1 (/ b (+ 1 (exp a))))))
(-.f64 (-.f64 a (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(+ a (+ (* -1 (log (+ 1 (exp a)))) (* b (- (* -1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))))
(+.f64 (-.f64 a (log1p.f64 (exp.f64 a))) (*.f64 b (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (*.f64 b #s(literal -1/2 binary64))))))
(+ a (+ (* -1 (log (+ 1 (exp a)))) (* b (- (* b (+ (* -1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (* -1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))))) (/ 1 (+ 1 (exp a)))))))
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(+ a (* -1 (log (+ (exp a) (exp b)))))
(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(+ a (* -1 (log (+ (exp a) (exp b)))))
(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(+ a (* -1 (log (+ (exp a) (exp b)))))
(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(+ a (* -1 (log (+ (exp a) (exp b)))))
(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(+ a (* -1 (log (+ (exp a) (exp b)))))
(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(+ a (* -1 (log (+ (exp a) (exp b)))))
(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(+ a (* -1 (log (+ (exp a) (exp b)))))
(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(+ a (* -1 (log (+ (exp a) (exp b)))))
(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(* -1 (log (+ 1 (exp b))))
(-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 b)))
(+ (* -1 (log (+ 1 (exp b)))) (* -1 (/ a (+ 1 (exp b)))))
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) a) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (log1p.f64 (exp.f64 b)))
(+ (* -1 (log (+ 1 (exp b)))) (* a (- (* -1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))
(-.f64 (*.f64 a (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 a (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))) (log1p.f64 (exp.f64 b)))
(+ (* -1 (log (+ 1 (exp b)))) (* a (- (* a (+ (* -1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (* -1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))))) (/ 1 (+ 1 (exp b))))))
(-.f64 (*.f64 a (+.f64 (*.f64 a (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal -3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) (*.f64 a #s(literal -1/6 binary64))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))) (log1p.f64 (exp.f64 b)))
(* -1 (log (+ (exp a) (exp b))))
(-.f64 #s(literal 0 binary64) (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(* -1 (log (+ (exp a) (exp b))))
(-.f64 #s(literal 0 binary64) (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(* -1 (log (+ (exp a) (exp b))))
(-.f64 #s(literal 0 binary64) (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(* -1 (log (+ (exp a) (exp b))))
(-.f64 #s(literal 0 binary64) (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(* -1 (log (+ (exp a) (exp b))))
(-.f64 #s(literal 0 binary64) (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(* -1 (log (+ (exp a) (exp b))))
(-.f64 #s(literal 0 binary64) (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(* -1 (log (+ (exp a) (exp b))))
(-.f64 #s(literal 0 binary64) (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(* -1 (log (+ (exp a) (exp b))))
(-.f64 #s(literal 0 binary64) (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(* -1 (log (+ 1 (exp a))))
(-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 a)))
(+ (* -1 (log (+ 1 (exp a)))) (* -1 (/ b (+ 1 (exp a)))))
(-.f64 (-.f64 #s(literal 0 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(+ (* -1 (log (+ 1 (exp a)))) (* b (- (* -1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))
(-.f64 (*.f64 b (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (*.f64 b #s(literal -1/2 binary64))))) (log1p.f64 (exp.f64 a)))
(+ (* -1 (log (+ 1 (exp a)))) (* b (- (* b (+ (* -1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (* -1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))))) (/ 1 (+ 1 (exp a))))))
(-.f64 (*.f64 b (+.f64 (*.f64 b (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) (*.f64 b (*.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (log1p.f64 (exp.f64 a)))
(* -1 (log (+ (exp a) (exp b))))
(-.f64 #s(literal 0 binary64) (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(* -1 (log (+ (exp a) (exp b))))
(-.f64 #s(literal 0 binary64) (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(* -1 (log (+ (exp a) (exp b))))
(-.f64 #s(literal 0 binary64) (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(* -1 (log (+ (exp a) (exp b))))
(-.f64 #s(literal 0 binary64) (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(* -1 (log (+ (exp a) (exp b))))
(-.f64 #s(literal 0 binary64) (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(* -1 (log (+ (exp a) (exp b))))
(-.f64 #s(literal 0 binary64) (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(* -1 (log (+ (exp a) (exp b))))
(-.f64 #s(literal 0 binary64) (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(* -1 (log (+ (exp a) (exp b))))
(-.f64 #s(literal 0 binary64) (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(log (+ 1 (exp b)))
(log1p.f64 (exp.f64 b))
(+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))
(+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))
(+.f64 (log1p.f64 (exp.f64 b)) (*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (*.f64 a #s(literal 1/2 binary64))))))
(+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))
(+.f64 (log1p.f64 (exp.f64 b)) (*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (*.f64 a (+.f64 (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal -3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) (*.f64 a #s(literal 1/6 binary64))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal 1/2 binary64)))))))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ 1 (exp a)))
(log1p.f64 (exp.f64 a))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))
(+.f64 (log1p.f64 (exp.f64 a)) (*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (*.f64 b #s(literal 1/2 binary64))))))
(+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))
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(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
1/2
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2
#s(literal 2 binary64)
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1
#s(literal 1 binary64)
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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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(/ (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)))
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(/.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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1
#s(literal 1 binary64)
(+ 1 a)
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(+ 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)
2
#s(literal 2 binary64)
(+ 2 a)
(+.f64 a #s(literal 2 binary64))
(+ 2 (* a (+ 1 (* 1/2 a))))
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(+ 1 (exp a))
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(+ 1 (exp a))
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(+ 1 (exp a))
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(+ 1 (exp a))
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(+ 1 (exp a))
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(+ 1 (exp a))
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(+ 1 (exp a))
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(+ 1/2 (* 1/4 a))
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(+ 1/2 (+ (* 1/4 a) (* b (- (* -1/16 (* a b)) 1/4))))
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(* 1/4 a)
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1/4
#s(literal 1/4 binary64)
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(sqrt (/ (exp a) (+ (exp a) (exp b))))
(sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))))
(sqrt (/ (exp a) (+ (exp a) (exp b))))
(sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))))
(sqrt (/ (exp a) (+ (exp a) (exp b))))
(sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))))
(sqrt (/ (exp a) (+ (exp a) (exp b))))
(sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 (-.f64 a (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+.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) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1/2 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 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) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (*.f64 a (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (*.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 (/.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 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1/2 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 4 binary64))))))))) (+.f64 (/.f64 #s(literal 1/2 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 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))))
(+.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 b (-.f64 (*.f64 b (-.f64 (-.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (*.f64 b (+.f64 (/.f64 (-.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 #s(literal 1 binary64) (exp.f64 a))) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal 1/6 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))))))
(/ (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 (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 (exp.f64 b) (+.f64 #s(literal 1 binary64) (*.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 b (+.f64 #s(literal 1 binary64) (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 (+.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))
4
#s(literal 4 binary64)
(+ 4 (* 4 b))
(+.f64 #s(literal 4 binary64) (*.f64 b #s(literal 4 binary64)))
(+ 4 (* b (+ 4 (* 3 b))))
(+.f64 #s(literal 4 binary64) (*.f64 b (+.f64 #s(literal 4 binary64) (*.f64 b #s(literal 3 binary64)))))
(+ 4 (* b (+ 4 (* b (+ 3 (* 5/3 b))))))
(+.f64 #s(literal 4 binary64) (*.f64 b (+.f64 #s(literal 4 binary64) (*.f64 b (+.f64 #s(literal 3 binary64) (*.f64 b #s(literal 5/3 binary64)))))))
(pow (+ 1 (exp b)) 2)
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))
(pow (+ 1 (exp b)) 2)
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))
(pow (+ 1 (exp b)) 2)
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))
(pow (+ 1 (exp b)) 2)
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))
(pow (+ 1 (exp b)) 2)
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))
(pow (+ 1 (exp b)) 2)
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))
(pow (+ 1 (exp b)) 2)
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))
(pow (+ 1 (exp b)) 2)
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))
-1/4
#s(literal -1/4 binary64)
(- (* 1/4 b) 1/4)
(+.f64 #s(literal -1/4 binary64) (*.f64 b #s(literal 1/4 binary64)))
(- (* b (+ 1/4 (* -1/16 b))) 1/4)
(+.f64 #s(literal -1/4 binary64) (*.f64 b (+.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal -1/16 binary64)))))
(- (* b (+ 1/4 (* b (- (* -1/48 b) 1/16)))) 1/4)
(+.f64 #s(literal -1/4 binary64) (*.f64 b (+.f64 #s(literal 1/4 binary64) (*.f64 b (+.f64 #s(literal -1/16 binary64) (*.f64 b #s(literal -1/48 binary64)))))))
(/ -1 (pow (+ 1 (exp b)) 2))
(/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))
(/ -1 (pow (+ 1 (exp b)) 2))
(/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))
(/ -1 (pow (+ 1 (exp b)) 2))
(/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))
(/ -1 (pow (+ 1 (exp b)) 2))
(/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))
(/ -1 (pow (+ 1 (exp b)) 2))
(/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))
(/ -1 (pow (+ 1 (exp b)) 2))
(/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))
(/ -1 (pow (+ 1 (exp b)) 2))
(/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))
(/ -1 (pow (+ 1 (exp b)) 2))
(/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))

eval174.0ms (1.7%)

Compiler

Compiled 33777 to 3416 computations (89.9% saved)

prune128.0ms (1.3%)

Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New1379111390
Fresh000
Picked325
Done000
Total1382131395
Accuracy
100.0%
Counts
1395 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶81.3%
(pow.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
73.4%
(pow.f64 (exp.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))) a)))
✓63.5%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
36.8%
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
▶54.7%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
52.7%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))))
✓81.8%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
▶35.6%
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 b (*.f64 b #s(literal 1/48 binary64))))))
▶36.7%
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64)))
38.9%
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
22.1%
(*.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)))
51.1%
(exp.f64 a)
▶39.0%
#s(literal 1/2 binary64)
Compiler

Compiled 265 to 200 computations (24.5% saved)

simplify26.0ms (0.3%)

Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))
✓cost-diff0
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))
✓cost-diff0
(+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
✓cost-diff0
(*.f64 b (*.f64 b #s(literal 1/48 binary64)))
✓cost-diff0
(+.f64 #s(literal -1/4 binary64) (*.f64 b (*.f64 b #s(literal 1/48 binary64))))
✓cost-diff0
(*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 b (*.f64 b #s(literal 1/48 binary64)))))
✓cost-diff0
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 b (*.f64 b #s(literal 1/48 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
(+.f64 (exp.f64 b) #s(literal 1 binary64))
✓cost-diff0
(pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1/2 binary64))
✓cost-diff12800
(pow.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
Rules
584×fma-define
492×fma-lowering-fma.f32
492×fma-lowering-fma.f64
192×*-lowering-*.f32
192×*-lowering-*.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
026142
163123
2153123
3325122
4542122
5695122
6732122
0732122
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(pow (pow (+ (exp b) 1) -1/2) 2)
(pow (+ (exp b) 1) -1/2)
(+ (exp b) 1)
(exp b)
b
1
-1/2
2
1/2
(+ 1/2 (* b -1/4))
1/2
(* b -1/4)
b
-1/4
(+ 1/2 (* b (+ -1/4 (* b (* b 1/48)))))
1/2
(* b (+ -1/4 (* b (* b 1/48))))
b
(+ -1/4 (* b (* b 1/48)))
-1/4
(* b (* b 1/48))
(* b 1/48)
1/48
(/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* b 1/6)))))))
1
(+ 2 (* b (+ 1 (* b (+ 1/2 (* b 1/6))))))
2
(* b (+ 1 (* b (+ 1/2 (* b 1/6)))))
b
(+ 1 (* b (+ 1/2 (* b 1/6))))
(* b (+ 1/2 (* b 1/6)))
(+ 1/2 (* b 1/6))
1/2
(* b 1/6)
1/6
Outputs
(pow (pow (+ (exp b) 1) -1/2) 2)
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
(pow (+ (exp b) 1) -1/2)
(pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1/2 binary64))
(+ (exp b) 1)
(+.f64 (exp.f64 b) #s(literal 1 binary64))
(exp b)
(exp.f64 b)
b
1
#s(literal 1 binary64)
-1/2
#s(literal -1/2 binary64)
2
#s(literal 2 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 (+ -1/4 (* b (* b 1/48)))))
(+.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
#s(literal 1/2 binary64)
(* b (+ -1/4 (* b (* b 1/48))))
(*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 b (*.f64 b #s(literal 1/48 binary64)))))
b
(+ -1/4 (* b (* b 1/48)))
(+.f64 #s(literal -1/4 binary64) (*.f64 b (*.f64 b #s(literal 1/48 binary64))))
-1/4
#s(literal -1/4 binary64)
(* b (* b 1/48))
(*.f64 b (*.f64 b #s(literal 1/48 binary64)))
(* b 1/48)
(*.f64 b #s(literal 1/48 binary64))
1/48
#s(literal 1/48 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)

localize117.0ms (1.2%)

Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))
✓accuracy99.9%
(*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
✓accuracy99.5%
(*.f64 b #s(literal 1/6 binary64))
✓accuracy100.0%
(+.f64 #s(literal -1/4 binary64) (*.f64 b (*.f64 b #s(literal 1/48 binary64))))
✓accuracy100.0%
(*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 b (*.f64 b #s(literal 1/48 binary64)))))
✓accuracy99.8%
(*.f64 b (*.f64 b #s(literal 1/48 binary64)))
✓accuracy99.5%
(*.f64 b #s(literal 1/48 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%
(exp.f64 b)
✓accuracy100.0%
(pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1/2 binary64))
✓accuracy100.0%
(+.f64 (exp.f64 b) #s(literal 1 binary64))
✓accuracy99.2%
(pow.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
Results
83.0ms256×0valid
Compiler

Compiled 146 to 28 computations (80.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-mult: 13.0ms (27.3% of total)
ival-pow: 12.0ms (25.2% of total)
ival-add: 10.0ms (21% of total)
...c/correct-round.rkt:119:19: 8.0ms (16.8% of total)
ival-div: 2.0ms (4.2% of total)
ival-exp: 2.0ms (4.2% of total)
const: 1.0ms (2.1% of total)
backward-pass: 0.0ms (0% of total)

series12.0ms (0.1%)

Counts
17 → 204
Calls
Call 1
Inputs
#<alt (pow (pow (+ (exp b) 1) -1/2) 2)>
#<alt (pow (+ (exp b) 1) -1/2)>
#<alt (+ (exp b) 1)>
#<alt (exp b)>
#<alt (+ 1/2 (* b -1/4))>
#<alt (* b -1/4)>
#<alt (+ 1/2 (* b (+ -1/4 (* b (* b 1/48)))))>
#<alt (* b (+ -1/4 (* b (* b 1/48))))>
#<alt (+ -1/4 (* b (* b 1/48)))>
#<alt (* b (* b 1/48))>
#<alt (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* b 1/6)))))))>
#<alt (+ 2 (* b (+ 1 (* b (+ 1/2 (* b 1/6))))))>
#<alt (* b (+ 1 (* b (+ 1/2 (* b 1/6)))))>
#<alt (+ 1 (* b (+ 1/2 (* b 1/6))))>
#<alt (* b 1/48)>
#<alt (* b 1/6)>
#<alt (* b (+ 1/2 (* b 1/6)))>
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 (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* -1/8 (/ b (sqrt 1/2))))>
#<alt (+ (sqrt 1/2) (* b (- (* -1/128 (/ b (pow (sqrt 1/2) 3))) (* 1/8 (/ 1 (sqrt 1/2))))))>
#<alt (+ (sqrt 1/2) (* b (- (* b (- (* 1/2 (/ (* b (- 1/48 (* 1/512 (/ 1 (pow (sqrt 1/2) 4))))) (sqrt 1/2))) (* 1/128 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/8 (/ 1 (sqrt 1/2))))))>
#<alt (sqrt (/ 1 (+ 1 (exp b))))>
#<alt (sqrt (/ 1 (+ 1 (exp b))))>
#<alt (sqrt (/ 1 (+ 1 (exp b))))>
#<alt (sqrt (/ 1 (+ 1 (exp b))))>
#<alt (sqrt (/ 1 (+ 1 (exp b))))>
#<alt (sqrt (/ 1 (+ 1 (exp b))))>
#<alt (sqrt (/ 1 (+ 1 (exp b))))>
#<alt (sqrt (/ 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 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 (- (* 1/48 (pow b 2)) 1/4)))>
#<alt (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))>
#<alt (* 1/48 (pow b 3))>
#<alt (* (pow b 3) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 3) (- (+ 1/48 (/ 1/2 (pow b 3))) (* 1/4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 3) (- (+ 1/48 (/ 1/2 (pow b 3))) (* 1/4 (/ 1 (pow b 2)))))>
#<alt (* 1/48 (pow b 3))>
#<alt (* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) 1/48)))>
#<alt (* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) (+ 1/48 (/ 1/2 (pow b 3))))))>
#<alt (* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) (+ 1/48 (/ 1/2 (pow b 3))))))>
#<alt (* -1/4 b)>
#<alt (* b (- (* 1/48 (pow b 2)) 1/4))>
#<alt (* b (- (* 1/48 (pow b 2)) 1/4))>
#<alt (* b (- (* 1/48 (pow b 2)) 1/4))>
#<alt (* 1/48 (pow b 3))>
#<alt (* (pow b 3) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 3) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 3) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))>
#<alt (* 1/48 (pow b 3))>
#<alt (* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) 1/48)))>
#<alt (* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) 1/48)))>
#<alt (* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) 1/48)))>
#<alt -1/4>
#<alt (- (* 1/48 (pow b 2)) 1/4)>
#<alt (- (* 1/48 (pow b 2)) 1/4)>
#<alt (- (* 1/48 (pow b 2)) 1/4)>
#<alt (* 1/48 (pow b 2))>
#<alt (* (pow b 2) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))>
#<alt (* 1/48 (pow b 2))>
#<alt (* (pow b 2) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))>
#<alt (* 1/48 (pow b 2))>
#<alt (* 1/48 (pow b 2))>
#<alt (* 1/48 (pow b 2))>
#<alt (* 1/48 (pow b 2))>
#<alt (* 1/48 (pow b 2))>
#<alt (* 1/48 (pow b 2))>
#<alt (* 1/48 (pow b 2))>
#<alt (* 1/48 (pow b 2))>
#<alt (* 1/48 (pow b 2))>
#<alt (* 1/48 (pow b 2))>
#<alt (* 1/48 (pow b 2))>
#<alt (* 1/48 (pow b 2))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 b))>
#<alt (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))>
#<alt (+ 1/2 (* b (- (* (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 (* 1/48 b)>
#<alt (* 1/48 b)>
#<alt (* 1/48 b)>
#<alt (* 1/48 b)>
#<alt (* 1/48 b)>
#<alt (* 1/48 b)>
#<alt (* 1/48 b)>
#<alt (* 1/48 b)>
#<alt (* 1/48 b)>
#<alt (* 1/48 b)>
#<alt (* 1/48 b)>
#<alt (* 1/48 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))))>
Calls

51 calls:

TimeVariablePointExpression
1.0ms
b
@0
(pow (+ (exp b) 1) -1/2)
1.0ms
b
@-inf
(pow (+ (exp b) 1) -1/2)
1.0ms
b
@inf
(pow (+ (exp b) 1) -1/2)
0.0ms
b
@-inf
(+ 1/2 (* b (+ -1/4 (* b (* b 1/48)))))
0.0ms
b
@-inf
(/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* b 1/6)))))))

rewrite344.0ms (3.4%)

Algorithm
1×batch-egg-rewrite
Rules
4204×*-lowering-*.f32
4204×*-lowering-*.f64
3290×/-lowering-/.f32
3290×/-lowering-/.f64
1980×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
026118
1170102
21421101
08166101
Stop Event
1×iter limit
1×node limit
Counts
17 → 379
Calls
Call 1
Inputs
(pow (pow (+ (exp b) 1) -1/2) 2)
(pow (+ (exp b) 1) -1/2)
(+ (exp b) 1)
(exp b)
(+ 1/2 (* b -1/4))
(* b -1/4)
(+ 1/2 (* b (+ -1/4 (* b (* b 1/48)))))
(* b (+ -1/4 (* b (* b 1/48))))
(+ -1/4 (* b (* b 1/48)))
(* b (* b 1/48))
(/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* b 1/6)))))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* b 1/6))))))
(* b (+ 1 (* b (+ 1/2 (* b 1/6)))))
(+ 1 (* b (+ 1/2 (* b 1/6))))
(* b 1/48)
(* b 1/6)
(* b (+ 1/2 (* b 1/6)))
Outputs
(exp.f64 (*.f64 (log1p.f64 (exp.f64 b)) #s(literal -1 binary64)))
(exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (log1p.f64 (exp.f64 b)))))
(exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (exp.f64 b)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (log1p.f64 (exp.f64 b)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64))))
(pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (*.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1/4 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (log1p.f64 (exp.f64 b))))
(*.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1/4 binary64)) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -3/4 binary64)))
(*.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1/4 binary64)) (pow.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -3/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -3/4 binary64)) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1/4 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 (exp.f64 (*.f64 b #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 b)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (expm1.f64 (+.f64 b b)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 b)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -3/4 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1/4 binary64)))
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log1p.f64 (exp.f64 b))))
(exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (log1p.f64 (exp.f64 b))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1/4 binary64)))
(pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1/4 binary64))
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log1p.f64 (exp.f64 b)))
(*.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1/4 binary64)) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1/4 binary64)))
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(fma.f64 (*.f64 b #s(literal 1/6 binary64)) b (*.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)))
(fma.f64 (*.f64 b b) #s(literal 1/6 binary64) (*.f64 b #s(literal 1/2 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64)) (*.f64 b (*.f64 b b)))) (+.f64 (*.f64 (*.f64 b #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 #s(literal -1/6 binary64) b)))
(/.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 #s(literal -1/6 binary64) b)))
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64)) (*.f64 b (*.f64 b b))))) (neg.f64 (+.f64 (*.f64 (*.f64 b #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 (neg.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)))))) (neg.f64 (-.f64 (*.f64 b #s(literal 1/2 binary64)) (*.f64 b (*.f64 b #s(literal 1/6 binary64))))))
(/.f64 (neg.f64 (*.f64 b (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64))))) (neg.f64 (+.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 (neg.f64 (*.f64 b (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b b) #s(literal 1/36 binary64))))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) b))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64))) b)) (neg.f64 (+.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 (neg.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b b) #s(literal 1/36 binary64))) b)) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) b))))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64)) (*.f64 b (*.f64 b b))) (*.f64 #s(literal 1/8 binary64) (*.f64 b (*.f64 b b)))) (+.f64 (*.f64 (*.f64 b (*.f64 b #s(literal 1/6 binary64))) (*.f64 b (*.f64 b #s(literal 1/6 binary64)))) (-.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 #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal 1/6 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal 1/6 binary64)))) (*.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal 1/6 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 (pow.f64 (*.f64 (*.f64 b #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 b (*.f64 b #s(literal 1/6 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 b #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 b #s(literal 1/2 binary64)) #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 b (*.f64 b #s(literal 1/6 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 b (*.f64 b #s(literal 1/6 binary64))) #s(literal 1 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))))))
(*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))
(*.f64 (+.f64 #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)

simplify230.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
3258×*-lowering-*.f32
3258×*-lowering-*.f64
2054×+-lowering-+.f64
2054×+-lowering-+.f32
1298×fma-lowering-fma.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01641349
15031274
215531211
355261164
088551164
Stop Event
1×iter limit
1×node limit
Counts
204 → 204
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)))
(sqrt 1/2)
(+ (sqrt 1/2) (* -1/8 (/ b (sqrt 1/2))))
(+ (sqrt 1/2) (* b (- (* -1/128 (/ b (pow (sqrt 1/2) 3))) (* 1/8 (/ 1 (sqrt 1/2))))))
(+ (sqrt 1/2) (* b (- (* b (- (* 1/2 (/ (* b (- 1/48 (* 1/512 (/ 1 (pow (sqrt 1/2) 4))))) (sqrt 1/2))) (* 1/128 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/8 (/ 1 (sqrt 1/2))))))
(sqrt (/ 1 (+ 1 (exp b))))
(sqrt (/ 1 (+ 1 (exp b))))
(sqrt (/ 1 (+ 1 (exp b))))
(sqrt (/ 1 (+ 1 (exp b))))
(sqrt (/ 1 (+ 1 (exp b))))
(sqrt (/ 1 (+ 1 (exp b))))
(sqrt (/ 1 (+ 1 (exp b))))
(sqrt (/ 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 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 (- (* 1/48 (pow b 2)) 1/4)))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(* 1/48 (pow b 3))
(* (pow b 3) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))
(* (pow b 3) (- (+ 1/48 (/ 1/2 (pow b 3))) (* 1/4 (/ 1 (pow b 2)))))
(* (pow b 3) (- (+ 1/48 (/ 1/2 (pow b 3))) (* 1/4 (/ 1 (pow b 2)))))
(* 1/48 (pow b 3))
(* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) 1/48)))
(* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) (+ 1/48 (/ 1/2 (pow b 3))))))
(* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) (+ 1/48 (/ 1/2 (pow b 3))))))
(* -1/4 b)
(* b (- (* 1/48 (pow b 2)) 1/4))
(* b (- (* 1/48 (pow b 2)) 1/4))
(* b (- (* 1/48 (pow b 2)) 1/4))
(* 1/48 (pow b 3))
(* (pow b 3) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))
(* (pow b 3) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))
(* (pow b 3) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))
(* 1/48 (pow b 3))
(* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) 1/48)))
(* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) 1/48)))
(* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) 1/48)))
-1/4
(- (* 1/48 (pow b 2)) 1/4)
(- (* 1/48 (pow b 2)) 1/4)
(- (* 1/48 (pow b 2)) 1/4)
(* 1/48 (pow b 2))
(* (pow b 2) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))
(* (pow b 2) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))
(* (pow b 2) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))
(* 1/48 (pow b 2))
(* (pow b 2) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))
(* (pow b 2) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))
(* (pow b 2) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))
(* 1/48 (pow b 2))
(* 1/48 (pow b 2))
(* 1/48 (pow b 2))
(* 1/48 (pow b 2))
(* 1/48 (pow b 2))
(* 1/48 (pow b 2))
(* 1/48 (pow b 2))
(* 1/48 (pow b 2))
(* 1/48 (pow b 2))
(* 1/48 (pow b 2))
(* 1/48 (pow b 2))
(* 1/48 (pow b 2))
1/2
(+ 1/2 (* -1/4 b))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* 1/96 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)))))
(* 1/48 b)
(* 1/48 b)
(* 1/48 b)
(* 1/48 b)
(* 1/48 b)
(* 1/48 b)
(* 1/48 b)
(* 1/48 b)
(* 1/48 b)
(* 1/48 b)
(* 1/48 b)
(* 1/48 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))))
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 #s(literal 1/48 binary64) (*.f64 b b)))))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) #s(literal -1/480 binary64)))))))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* -1/8 (/ b (sqrt 1/2))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 b #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(+ (sqrt 1/2) (* b (- (* -1/128 (/ b (pow (sqrt 1/2) 3))) (* 1/8 (/ 1 (sqrt 1/2))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 b (+.f64 (/.f64 (*.f64 b #s(literal -1/64 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))
(+ (sqrt 1/2) (* b (- (* b (- (* 1/2 (/ (* b (- 1/48 (* 1/512 (/ 1 (pow (sqrt 1/2) 4))))) (sqrt 1/2))) (* 1/128 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/8 (/ 1 (sqrt 1/2))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 b (+.f64 (*.f64 b (+.f64 (*.f64 (+.f64 #s(literal 1/48 binary64) (/.f64 #s(literal -1/512 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)))) (*.f64 (/.f64 b (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) (/.f64 #s(literal -1/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))
(sqrt (/ 1 (+ 1 (exp b))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(sqrt (/ 1 (+ 1 (exp b))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(sqrt (/ 1 (+ 1 (exp b))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(sqrt (/ 1 (+ 1 (exp b))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(sqrt (/ 1 (+ 1 (exp b))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(sqrt (/ 1 (+ 1 (exp b))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(sqrt (/ 1 (+ 1 (exp b))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(sqrt (/ 1 (+ 1 (exp b))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
2
#s(literal 2 binary64)
(+ 2 b)
(+.f64 b #s(literal 2 binary64))
(+ 2 (* b (+ 1 (* 1/2 b))))
(+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
1
#s(literal 1 binary64)
(+ 1 b)
(+.f64 b #s(literal 1 binary64))
(+ 1 (* b (+ 1 (* 1/2 b))))
(+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 b))
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1/2
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2
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b
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1
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eval104.0ms (1%)

Compiler

Compiled 15416 to 1720 computations (88.8% saved)

prune142.0ms (1.4%)

Pruning

27 alts after pruning (22 fresh and 5 done)

PrunedKeptTotal
New56617583
Fresh156
Picked235
Done022
Total56927596
Accuracy
100.0%
Counts
596 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
38.5%
(pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))
▶73.4%
(pow.f64 (exp.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))) a)))
20.3%
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) b)) (*.f64 b (*.f64 b b)))
✓63.5%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
20.9%
(/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))
35.5%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 b (*.f64 (+.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 b (*.f64 (+.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)))))))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))) (*.f64 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))))))))))
36.8%
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
▶37.7%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 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)))))))))
39.8%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (*.f64 (+.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))))))) b) (-.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
36.5%
(/.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 b (*.f64 (+.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)))))))) 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)))))))
36.1%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (/.f64 #s(literal 1 binary64) (/.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 (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))) (*.f64 b (*.f64 (+.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)))))))))))))
54.7%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 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 #s(literal -1/6 binary64) b)))))))
39.4%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 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)))))))))
▶54.1%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (*.f64 b (*.f64 b #s(literal 1/6 binary64))))))
✓81.8%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
37.7%
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))) (*.f64 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 #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))))))))))
37.1%
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (-.f64 (*.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)))))))
✓35.6%
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 b (*.f64 b #s(literal 1/48 binary64))))))
✓36.7%
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64)))
38.9%
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
37.7%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))) (*.f64 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))))))))
22.1%
(*.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)))
▶37.1%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))))) (+.f64 #s(literal 4 binary64) (*.f64 (*.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)))))) #s(literal 2 binary64)))))
13.5%
(*.f64 #s(literal 1/48 binary64) (*.f64 b (*.f64 b b)))
▶4.0%
(*.f64 #s(literal -1/4 binary64) b)
51.1%
(exp.f64 a)
✓39.0%
#s(literal 1/2 binary64)
Compiler

Compiled 1402 to 643 computations (54.1% saved)

simplify222.0ms (2.2%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.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 (+.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)))))))))
✓cost-diff0
(+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (*.f64 b (*.f64 (+.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))))))))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (*.f64 b (*.f64 (+.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)))))))))))
✓cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))))) (+.f64 #s(literal 4 binary64) (*.f64 (*.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)))))) #s(literal 2 binary64)))))
✓cost-diff128
(-.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)))))))
✓cost-diff1536
(/.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)))))))
✓cost-diff1536
(+.f64 #s(literal 2 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))))))))
✓cost-diff1536
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 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)))))))))
✓cost-diff0
(*.f64 b (*.f64 b #s(literal 1/6 binary64)))
✓cost-diff0
(*.f64 b (*.f64 b (*.f64 b #s(literal 1/6 binary64))))
✓cost-diff0
(+.f64 #s(literal 2 binary64) (*.f64 b (*.f64 b (*.f64 b #s(literal 1/6 binary64)))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (*.f64 b (*.f64 b #s(literal 1/6 binary64))))))
✓cost-diff0
(*.f64 #s(literal -1/4 binary64) b)
✓cost-diff0
(-.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (*.f64 a a))
✓cost-diff0
(exp.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (*.f64 a a)))
✓cost-diff128
(/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))) a))
✓cost-diff128
(pow.f64 (exp.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))) a)))
Rules
3514×*-lowering-*.f32
3514×*-lowering-*.f64
2352×+-lowering-+.f64
2352×+-lowering-+.f32
1178×sum3-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
049691
1142539
2472441
32562438
47517438
08373438
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(pow (exp (- (pow (log (+ (exp a) (exp b))) 2) (* a a))) (/ 1 (- (log (/ 1 (+ (exp a) (exp b)))) a)))
(exp (- (pow (log (+ (exp a) (exp b))) 2) (* a a)))
(- (pow (log (+ (exp a) (exp b))) 2) (* a a))
(pow (log (+ (exp a) (exp b))) 2)
(log (+ (exp a) (exp b)))
(+ (exp a) (exp b))
(exp a)
a
(exp b)
b
2
(* a a)
(/ 1 (- (log (/ 1 (+ (exp a) (exp b)))) a))
1
(- (log (/ 1 (+ (exp a) (exp b)))) a)
(log (/ 1 (+ (exp a) (exp b))))
(/ 1 (+ (exp a) (exp b)))
(* -1/4 b)
-1/4
b
(/ 1 (+ 2 (* b (* b (* b 1/6)))))
1
(+ 2 (* b (* b (* b 1/6))))
2
(* b (* b (* b 1/6)))
b
(* b (* b 1/6))
(* b 1/6)
1/6
(/ 1 (+ 2 (/ (- (* b b) (* (* b (* b (+ 1/2 (* b 1/6)))) (* b (* b (+ 1/2 (* b 1/6)))))) (- b (* b (* b (+ 1/2 (* b 1/6))))))))
1
(+ 2 (/ (- (* b b) (* (* b (* b (+ 1/2 (* b 1/6)))) (* b (* b (+ 1/2 (* b 1/6)))))) (- b (* b (* b (+ 1/2 (* b 1/6)))))))
2
(/ (- (* b b) (* (* b (* b (+ 1/2 (* b 1/6)))) (* b (* b (+ 1/2 (* b 1/6)))))) (- b (* b (* b (+ 1/2 (* b 1/6))))))
(- (* b b) (* (* b (* b (+ 1/2 (* b 1/6)))) (* b (* b (+ 1/2 (* b 1/6))))))
(* b b)
b
(* (* b (* b (+ 1/2 (* b 1/6)))) (* b (* b (+ 1/2 (* b 1/6)))))
(* b (* b (+ 1/2 (* b 1/6))))
(* b (+ 1/2 (* b 1/6)))
(+ 1/2 (* b 1/6))
1/2
(* b 1/6)
1/6
(- b (* b (* b (+ 1/2 (* b 1/6)))))
(* (/ 1 (+ 8 (* (* b (+ 1 (* b (+ 1/2 (* b 1/6))))) (* b (* (+ 1 (* b (+ 1/2 (* b 1/6)))) (* b (+ 1 (* b (+ 1/2 (* b 1/6)))))))))) (+ 4 (* (* b (+ 1 (* b (+ 1/2 (* b 1/6))))) (- (* b (+ 1 (* b (+ 1/2 (* b 1/6))))) 2))))
(/ 1 (+ 8 (* (* b (+ 1 (* b (+ 1/2 (* b 1/6))))) (* b (* (+ 1 (* b (+ 1/2 (* b 1/6)))) (* b (+ 1 (* b (+ 1/2 (* b 1/6))))))))))
1
(+ 8 (* (* b (+ 1 (* b (+ 1/2 (* b 1/6))))) (* b (* (+ 1 (* b (+ 1/2 (* b 1/6)))) (* b (+ 1 (* b (+ 1/2 (* b 1/6)))))))))
8
(* (* b (+ 1 (* b (+ 1/2 (* b 1/6))))) (* b (* (+ 1 (* b (+ 1/2 (* b 1/6)))) (* b (+ 1 (* b (+ 1/2 (* b 1/6))))))))
(* 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
(* b (* (+ 1 (* b (+ 1/2 (* b 1/6)))) (* b (+ 1 (* b (+ 1/2 (* b 1/6)))))))
(* (+ 1 (* b (+ 1/2 (* b 1/6)))) (* b (+ 1 (* b (+ 1/2 (* b 1/6))))))
(+ 4 (* (* b (+ 1 (* b (+ 1/2 (* b 1/6))))) (- (* b (+ 1 (* b (+ 1/2 (* b 1/6))))) 2)))
4
(* (* b (+ 1 (* b (+ 1/2 (* b 1/6))))) (- (* b (+ 1 (* b (+ 1/2 (* b 1/6))))) 2))
(- (* b (+ 1 (* b (+ 1/2 (* b 1/6))))) 2)
2
Outputs
(pow (exp (- (pow (log (+ (exp a) (exp b))) 2) (* a a))) (/ 1 (- (log (/ 1 (+ (exp a) (exp b)))) a)))
(pow.f64 (exp.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (*.f64 a a))) (/.f64 #s(literal -1 binary64) (+.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))
(exp (- (pow (log (+ (exp a) (exp b))) 2) (* a a)))
(exp.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (*.f64 a a)))
(- (pow (log (+ (exp a) (exp b))) 2) (* a a))
(-.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (*.f64 a a))
(pow (log (+ (exp a) (exp b))) 2)
(pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(+ (exp a) (exp b))
(+.f64 (exp.f64 a) (exp.f64 b))
(exp a)
(exp.f64 a)
a
(exp b)
(exp.f64 b)
b
2
#s(literal 2 binary64)
(* a a)
(*.f64 a a)
(/ 1 (- (log (/ 1 (+ (exp a) (exp b)))) a))
(/.f64 #s(literal -1 binary64) (+.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
1
#s(literal 1 binary64)
(- (log (/ 1 (+ (exp a) (exp b)))) a)
(-.f64 (-.f64 #s(literal 0 binary64) a) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(log (/ 1 (+ (exp a) (exp b))))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))))
(/ 1 (+ (exp a) (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))
(* -1/4 b)
(*.f64 b #s(literal -1/4 binary64))
-1/4
#s(literal -1/4 binary64)
b
(/ 1 (+ 2 (* b (* b (* b 1/6)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 b (*.f64 b b)))))
1
#s(literal 1 binary64)
(+ 2 (* b (* b (* b 1/6))))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 b (*.f64 b b))))
2
#s(literal 2 binary64)
(* b (* b (* b 1/6)))
(*.f64 #s(literal 1/6 binary64) (*.f64 b (*.f64 b b)))
b
(* b (* b 1/6))
(*.f64 b (*.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 (+ 2 (/ (- (* b b) (* (* b (* b (+ 1/2 (* b 1/6)))) (* b (* b (+ 1/2 (* b 1/6)))))) (- b (* b (* 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 (*.f64 b #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))
1
#s(literal 1 binary64)
(+ 2 (/ (- (* b b) (* (* b (* b (+ 1/2 (* b 1/6)))) (* b (* b (+ 1/2 (* b 1/6)))))) (- b (* b (* b (+ 1/2 (* b 1/6)))))))
(+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 (*.f64 b #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))
2
#s(literal 2 binary64)
(/ (- (* b b) (* (* b (* b (+ 1/2 (* b 1/6)))) (* b (* b (+ 1/2 (* b 1/6)))))) (- b (* b (* b (+ 1/2 (* b 1/6))))))
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 (*.f64 b #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(- (* b b) (* (* b (* b (+ 1/2 (* b 1/6)))) (* b (* b (+ 1/2 (* b 1/6))))))
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 (*.f64 b (+.f64 (*.f64 b #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (+.f64 (*.f64 b #s(literal -1/6 binary64)) #s(literal -1/2 binary64))))))
(* b b)
(*.f64 b b)
b
(* (* b (* b (+ 1/2 (* b 1/6)))) (* b (* b (+ 1/2 (* b 1/6)))))
(*.f64 (*.f64 b (+.f64 (*.f64 b #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 b b) (*.f64 b (+.f64 (*.f64 b #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(* b (* b (+ 1/2 (* b 1/6))))
(*.f64 (*.f64 b b) (+.f64 (*.f64 b #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* b (+ 1/2 (* b 1/6)))
(*.f64 b (+.f64 (*.f64 b #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(+ 1/2 (* b 1/6))
(+.f64 (*.f64 b #s(literal 1/6 binary64)) #s(literal 1/2 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)
(- b (* b (* b (+ 1/2 (* b 1/6)))))
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 (*.f64 b #s(literal -1/6 binary64)) #s(literal -1/2 binary64)))))
(* (/ 1 (+ 8 (* (* b (+ 1 (* b (+ 1/2 (* b 1/6))))) (* b (* (+ 1 (* b (+ 1/2 (* b 1/6)))) (* b (+ 1 (* b (+ 1/2 (* b 1/6)))))))))) (+ 4 (* (* b (+ 1 (* b (+ 1/2 (* b 1/6))))) (- (* b (+ 1 (* b (+ 1/2 (* b 1/6))))) 2))))
(/.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 (*.f64 b #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 (*.f64 b #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) #s(literal -2 binary64)))) (+.f64 #s(literal 8 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 (*.f64 b #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 (*.f64 b #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (*.f64 b (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 (*.f64 b #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))))))
(/ 1 (+ 8 (* (* b (+ 1 (* b (+ 1/2 (* b 1/6))))) (* b (* (+ 1 (* b (+ 1/2 (* b 1/6)))) (* b (+ 1 (* b (+ 1/2 (* b 1/6))))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 8 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 (*.f64 b #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 (*.f64 b #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (*.f64 b (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 (*.f64 b #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))))))
1
#s(literal 1 binary64)
(+ 8 (* (* b (+ 1 (* b (+ 1/2 (* b 1/6))))) (* b (* (+ 1 (* b (+ 1/2 (* b 1/6)))) (* b (+ 1 (* b (+ 1/2 (* b 1/6)))))))))
(+.f64 #s(literal 8 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 (*.f64 b #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 (*.f64 b #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (*.f64 b (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 (*.f64 b #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))))
8
#s(literal 8 binary64)
(* (* b (+ 1 (* b (+ 1/2 (* b 1/6))))) (* b (* (+ 1 (* b (+ 1/2 (* b 1/6)))) (* b (+ 1 (* b (+ 1/2 (* b 1/6))))))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 (*.f64 b #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 (*.f64 b #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (*.f64 b (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 (*.f64 b #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))))
(* b (+ 1 (* b (+ 1/2 (* b 1/6)))))
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 (*.f64 b #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
b
(+ 1 (* b (+ 1/2 (* b 1/6))))
(+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 (*.f64 b #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(* b (+ 1/2 (* b 1/6)))
(*.f64 b (+.f64 (*.f64 b #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(+ 1/2 (* b 1/6))
(+.f64 (*.f64 b #s(literal 1/6 binary64)) #s(literal 1/2 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)
(* b (* (+ 1 (* b (+ 1/2 (* b 1/6)))) (* b (+ 1 (* b (+ 1/2 (* b 1/6)))))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 (*.f64 b #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (*.f64 b (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 (*.f64 b #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))
(* (+ 1 (* b (+ 1/2 (* b 1/6)))) (* b (+ 1 (* b (+ 1/2 (* b 1/6))))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 (*.f64 b #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 (*.f64 b #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))
(+ 4 (* (* b (+ 1 (* b (+ 1/2 (* b 1/6))))) (- (* b (+ 1 (* b (+ 1/2 (* b 1/6))))) 2)))
(+.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 (*.f64 b #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 (*.f64 b #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) #s(literal -2 binary64))))
4
#s(literal 4 binary64)
(* (* b (+ 1 (* b (+ 1/2 (* b 1/6))))) (- (* b (+ 1 (* b (+ 1/2 (* b 1/6))))) 2))
(*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 (*.f64 b #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 (*.f64 b #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) #s(literal -2 binary64)))
(- (* b (+ 1 (* b (+ 1/2 (* b 1/6))))) 2)
(+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 (*.f64 b #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) #s(literal -2 binary64))
2
#s(literal 2 binary64)

localize521.0ms (5.1%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))
✓accuracy99.9%
(*.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 (+.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)))))))))
✓accuracy99.7%
(*.f64 b #s(literal 1/6 binary64))
✓accuracy83.1%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))))) (+.f64 #s(literal 4 binary64) (*.f64 (*.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)))))) #s(literal 2 binary64)))))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 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)))))))))
✓accuracy99.7%
(*.f64 b #s(literal 1/6 binary64))
✓accuracy92.2%
(-.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)))))))
✓accuracy67.6%
(/.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)))))))
✓accuracy99.9%
(*.f64 b (*.f64 b (*.f64 b #s(literal 1/6 binary64))))
✓accuracy99.9%
(*.f64 b (*.f64 b #s(literal 1/6 binary64)))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (*.f64 b (*.f64 b #s(literal 1/6 binary64))))))
✓accuracy99.7%
(*.f64 b #s(literal 1/6 binary64))
✓accuracy100.0%
(*.f64 #s(literal -1/4 binary64) b)
✓accuracy99.5%
(pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64))
✓accuracy99.2%
(pow.f64 (exp.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))) a)))
✓accuracy80.1%
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
✓accuracy80.0%
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))))
Results
179.0ms44×5exit
79.0ms36×1valid
59.0ms20×2valid
46.0ms90×0valid
40.0ms66×0unsamplable
Compiler

Compiled 690 to 50 computations (92.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 276.0ms
ival-log: 71.0ms (25.7% of total)
ival-mult: 45.0ms (16.3% of total)
ival-pow: 41.0ms (14.9% of total)
backward-pass: 39.0ms (14.1% of total)
ival-exp: 27.0ms (9.8% of total)
ival-div: 18.0ms (6.5% of total)
ival-add: 14.0ms (5.1% of total)
ival-sub: 13.0ms (4.7% of total)
...c/correct-round.rkt:119:19: 6.0ms (2.2% of total)
const: 2.0ms (0.7% of total)

series526.0ms (5.2%)

Counts
22 → 348
Calls
Call 1
Inputs
#<alt (pow (exp (- (pow (log (+ (exp a) (exp b))) 2) (* a a))) (/ 1 (- (log (/ 1 (+ (exp a) (exp b)))) a)))>
#<alt (/ 1 (- (log (/ 1 (+ (exp a) (exp b)))) a))>
#<alt (exp (- (pow (log (+ (exp a) (exp b))) 2) (* a a)))>
#<alt (- (pow (log (+ (exp a) (exp b))) 2) (* a a))>
#<alt (* -1/4 b)>
#<alt (/ 1 (+ 2 (* b (* b (* b 1/6)))))>
#<alt (+ 2 (* b (* b (* b 1/6))))>
#<alt (* b (* b (* b 1/6)))>
#<alt (* b (* b 1/6))>
#<alt (/ 1 (+ 2 (/ (- (* b b) (* (* b (* b (+ 1/2 (* b 1/6)))) (* b (* b (+ 1/2 (* b 1/6)))))) (- b (* b (* b (+ 1/2 (* b 1/6))))))))>
#<alt (+ 2 (/ (- (* b b) (* (* b (* b (+ 1/2 (* b 1/6)))) (* b (* b (+ 1/2 (* b 1/6)))))) (- b (* b (* b (+ 1/2 (* b 1/6)))))))>
#<alt (/ (- (* b b) (* (* b (* b (+ 1/2 (* b 1/6)))) (* b (* b (+ 1/2 (* b 1/6)))))) (- b (* b (* b (+ 1/2 (* b 1/6))))))>
#<alt (- (* b b) (* (* b (* b (+ 1/2 (* b 1/6)))) (* b (* b (+ 1/2 (* b 1/6))))))>
#<alt (* (/ 1 (+ 8 (* (* b (+ 1 (* b (+ 1/2 (* b 1/6))))) (* b (* (+ 1 (* b (+ 1/2 (* b 1/6)))) (* b (+ 1 (* b (+ 1/2 (* b 1/6)))))))))) (+ 4 (* (* b (+ 1 (* b (+ 1/2 (* b 1/6))))) (- (* b (+ 1 (* b (+ 1/2 (* b 1/6))))) 2))))>
#<alt (/ 1 (+ 8 (* (* b (+ 1 (* b (+ 1/2 (* b 1/6))))) (* b (* (+ 1 (* b (+ 1/2 (* b 1/6)))) (* b (+ 1 (* b (+ 1/2 (* b 1/6))))))))))>
#<alt (+ 8 (* (* b (+ 1 (* b (+ 1/2 (* b 1/6))))) (* b (* (+ 1 (* b (+ 1/2 (* b 1/6)))) (* b (+ 1 (* b (+ 1/2 (* b 1/6)))))))))>
#<alt (* (* b (+ 1 (* b (+ 1/2 (* b 1/6))))) (* b (* (+ 1 (* b (+ 1/2 (* b 1/6)))) (* b (+ 1 (* b (+ 1/2 (* b 1/6))))))))>
#<alt (log (/ 1 (+ (exp a) (exp b))))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (pow (log (+ (exp a) (exp b))) 2)>
#<alt (* b 1/6)>
#<alt (* b (+ 1/2 (* b 1/6)))>
Outputs
#<alt (exp (/ (pow (log (+ 1 (exp b))) 2) (log (/ 1 (+ 1 (exp b))))))>
#<alt (+ (exp (/ (pow (log (+ 1 (exp b))) 2) (log (/ 1 (+ 1 (exp b)))))) (* a (* (exp (/ (pow (log (+ 1 (exp b))) 2) (log (/ 1 (+ 1 (exp b)))))) (+ (* 2 (/ (log (+ 1 (exp b))) (* (log (/ 1 (+ 1 (exp b)))) (+ 1 (exp b))))) (/ (* (pow (log (+ 1 (exp b))) 2) (+ 1 (/ 1 (+ 1 (exp b))))) (pow (log (/ 1 (+ 1 (exp b)))) 2))))))>
#<alt (+ (exp (/ (pow (log (+ 1 (exp b))) 2) (log (/ 1 (+ 1 (exp b)))))) (* a (+ (* a (* (exp (/ (pow (log (+ 1 (exp b))) 2) (log (/ 1 (+ 1 (exp b)))))) (+ (* -1 (* (pow (log (+ 1 (exp b))) 2) (+ (* -1 (/ (pow (+ 1 (/ 1 (+ 1 (exp b)))) 2) (pow (log (/ 1 (+ 1 (exp b)))) 3))) (* 1/2 (/ (- (* 2 (* (+ 1 (exp b)) (- (/ 1 (pow (+ 1 (exp b)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (pow (+ 1 (exp b)) 2))) (pow (log (/ 1 (+ 1 (exp b)))) 2)))))) (+ (* 1/2 (/ (+ (* -4 (/ (pow (log (+ 1 (exp b))) 2) (pow (+ 1 (exp b)) 2))) (* 2 (- (+ (* 2 (/ (pow (log (+ 1 (exp b))) 2) (pow (+ 1 (exp b)) 2))) (+ (* (log (+ 1 (exp b))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (pow (+ 1 (exp b)) 2)))) 1))) (log (/ 1 (+ 1 (exp b)))))) (+ (* 1/2 (pow (+ (* 2 (/ (log (+ 1 (exp b))) (* (log (/ 1 (+ 1 (exp b)))) (+ 1 (exp b))))) (/ (* (pow (log (+ 1 (exp b))) 2) (+ 1 (/ 1 (+ 1 (exp b))))) (pow (log (/ 1 (+ 1 (exp b)))) 2))) 2)) (* 2 (/ (* (log (+ 1 (exp b))) (+ 1 (/ 1 (+ 1 (exp b))))) (* (pow (log (/ 1 (+ 1 (exp b)))) 2) (+ 1 (exp b)))))))))) (* (exp (/ (pow (log (+ 1 (exp b))) 2) (log (/ 1 (+ 1 (exp b)))))) (+ (* 2 (/ (log (+ 1 (exp b))) (* (log (/ 1 (+ 1 (exp b)))) (+ 1 (exp b))))) (/ (* (pow (log (+ 1 (exp b))) 2) (+ 1 (/ 1 (+ 1 (exp b))))) (pow (log (/ 1 (+ 1 (exp b)))) 2)))))))>
#<alt (+ (exp (/ (pow (log (+ 1 (exp b))) 2) (log (/ 1 (+ 1 (exp b)))))) (* a (+ (* a (+ (* a (* (exp (/ (pow (log (+ 1 (exp b))) 2) (log (/ 1 (+ 1 (exp b)))))) (+ (* -2 (/ (* (log (+ 1 (exp b))) (+ (* -1 (/ (pow (+ 1 (/ 1 (+ 1 (exp b)))) 2) (pow (log (/ 1 (+ 1 (exp b)))) 3))) (* 1/2 (/ (- (* 2 (* (+ 1 (exp b)) (- (/ 1 (pow (+ 1 (exp b)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (pow (+ 1 (exp b)) 2))) (pow (log (/ 1 (+ 1 (exp b)))) 2))))) (+ 1 (exp b)))) (+ (* -1 (* (pow (log (+ 1 (exp b))) 2) (+ (* 1/6 (/ (- (+ (* 6 (* (+ 1 (exp b)) (- (/ 1 (pow (+ 1 (exp b)) 3)) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (/ 1 (pow (+ 1 (exp b)) 4)))))) (* 6 (- (/ 1 (pow (+ 1 (exp b)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 2 (/ 1 (pow (+ 1 (exp b)) 3)))) (pow (log (/ 1 (+ 1 (exp b)))) 2))) (+ (* 1/2 (/ (* (+ 1 (/ 1 (+ 1 (exp b)))) (- (* 2 (* (+ 1 (exp b)) (- (/ 1 (pow (+ 1 (exp b)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (pow (+ 1 (exp b)) 2)))) (pow (log (/ 1 (+ 1 (exp b)))) 3))) (/ (* (+ 1 (/ 1 (+ 1 (exp b)))) (+ (* -1 (/ (pow (+ 1 (/ 1 (+ 1 (exp b)))) 2) (pow (log (/ 1 (+ 1 (exp b)))) 3))) (* 1/2 (/ (- (* 2 (* (+ 1 (exp b)) (- (/ 1 (pow (+ 1 (exp b)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (pow (+ 1 (exp b)) 2))) (pow (log (/ 1 (+ 1 (exp b)))) 2))))) (log (/ 1 (+ 1 (exp b))))))))) (+ (* 1/6 (/ (+ (* -12 (/ (* (log (+ 1 (exp b))) (- (+ (* 2 (/ (pow (log (+ 1 (exp b))) 2) (pow (+ 1 (exp b)) 2))) (+ (* (log (+ 1 (exp b))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (pow (+ 1 (exp b)) 2)))) 1)) (+ 1 (exp b)))) (+ (* 6 (- (+ (* 1/3 (* (log (+ 1 (exp b))) (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (+ (* 4/3 (/ (pow (log (+ 1 (exp b))) 3) (pow (+ 1 (exp b)) 3))) (+ (* 2 (/ (* (log (+ 1 (exp b))) (- (+ (* (log (+ 1 (exp b))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (pow (+ 1 (exp b)) 2))) 1)) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 16 (/ (pow (log (+ 1 (exp b))) 3) (pow (+ 1 (exp b)) 3))))) (log (/ 1 (+ 1 (exp b)))))) (+ (* 1/6 (pow (+ (* 2 (/ (log (+ 1 (exp b))) (* (log (/ 1 (+ 1 (exp b)))) (+ 1 (exp b))))) (/ (* (pow (log (+ 1 (exp b))) 2) (+ 1 (/ 1 (+ 1 (exp b))))) (pow (log (/ 1 (+ 1 (exp b)))) 2))) 3)) (+ (* 1/2 (/ (* (+ 1 (/ 1 (+ 1 (exp b)))) (+ (* -4 (/ (pow (log (+ 1 (exp b))) 2) (pow (+ 1 (exp b)) 2))) (* 2 (- (+ (* 2 (/ (pow (log (+ 1 (exp b))) 2) (pow (+ 1 (exp b)) 2))) (+ (* (log (+ 1 (exp b))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (pow (+ 1 (exp b)) 2)))) 1)))) (pow (log (/ 1 (+ 1 (exp b)))) 2))) (* (+ (* -1 (* (pow (log (+ 1 (exp b))) 2) (+ (* -1 (/ (pow (+ 1 (/ 1 (+ 1 (exp b)))) 2) (pow (log (/ 1 (+ 1 (exp b)))) 3))) (* 1/2 (/ (- (* 2 (* (+ 1 (exp b)) (- (/ 1 (pow (+ 1 (exp b)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (pow (+ 1 (exp b)) 2))) (pow (log (/ 1 (+ 1 (exp b)))) 2)))))) (+ (* 1/2 (/ (+ (* -4 (/ (pow (log (+ 1 (exp b))) 2) (pow (+ 1 (exp b)) 2))) (* 2 (- (+ (* 2 (/ (pow (log (+ 1 (exp b))) 2) (pow (+ 1 (exp b)) 2))) (+ (* (log (+ 1 (exp b))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (pow (+ 1 (exp b)) 2)))) 1))) (log (/ 1 (+ 1 (exp b)))))) (* 2 (/ (* (log (+ 1 (exp b))) (+ 1 (/ 1 (+ 1 (exp b))))) (* (pow (log (/ 1 (+ 1 (exp b)))) 2) (+ 1 (exp b))))))) (+ (* 2 (/ (log (+ 1 (exp b))) (* (log (/ 1 (+ 1 (exp b)))) (+ 1 (exp b))))) (/ (* (pow (log (+ 1 (exp b))) 2) (+ 1 (/ 1 (+ 1 (exp b))))) (pow (log (/ 1 (+ 1 (exp b)))) 2))))))))))) (* (exp (/ (pow (log (+ 1 (exp b))) 2) (log (/ 1 (+ 1 (exp b)))))) (+ (* -1 (* (pow (log (+ 1 (exp b))) 2) (+ (* -1 (/ (pow (+ 1 (/ 1 (+ 1 (exp b)))) 2) (pow (log (/ 1 (+ 1 (exp b)))) 3))) (* 1/2 (/ (- (* 2 (* (+ 1 (exp b)) (- (/ 1 (pow (+ 1 (exp b)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (pow (+ 1 (exp b)) 2))) (pow (log (/ 1 (+ 1 (exp b)))) 2)))))) (+ (* 1/2 (/ (+ (* -4 (/ (pow (log (+ 1 (exp b))) 2) (pow (+ 1 (exp b)) 2))) (* 2 (- (+ (* 2 (/ (pow (log (+ 1 (exp b))) 2) (pow (+ 1 (exp b)) 2))) (+ (* (log (+ 1 (exp b))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (pow (+ 1 (exp b)) 2)))) 1))) (log (/ 1 (+ 1 (exp b)))))) (+ (* 1/2 (pow (+ (* 2 (/ (log (+ 1 (exp b))) (* (log (/ 1 (+ 1 (exp b)))) (+ 1 (exp b))))) (/ (* (pow (log (+ 1 (exp b))) 2) (+ 1 (/ 1 (+ 1 (exp b))))) (pow (log (/ 1 (+ 1 (exp b)))) 2))) 2)) (* 2 (/ (* (log (+ 1 (exp b))) (+ 1 (/ 1 (+ 1 (exp b))))) (* (pow (log (/ 1 (+ 1 (exp b)))) 2) (+ 1 (exp b))))))))))) (* (exp (/ (pow (log (+ 1 (exp b))) 2) (log (/ 1 (+ 1 (exp b)))))) (+ (* 2 (/ (log (+ 1 (exp b))) (* (log (/ 1 (+ 1 (exp b)))) (+ 1 (exp b))))) (/ (* (pow (log (+ 1 (exp b))) 2) (+ 1 (/ 1 (+ 1 (exp b))))) (pow (log (/ 1 (+ 1 (exp b)))) 2)))))))>
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#<alt (* (pow a 2) (- (/ (pow (log (+ (exp a) (exp b))) 2) (pow a 2)) 1))>
#<alt (* (pow a 2) (- (/ (pow (log (+ (exp a) (exp b))) 2) (pow a 2)) 1))>
#<alt (- (pow (log (+ 1 (exp a))) 2) (pow a 2))>
#<alt (- (+ (* 2 (/ (* b (log (+ 1 (exp a)))) (+ 1 (exp a)))) (pow (log (+ 1 (exp a))) 2)) (pow a 2))>
#<alt (- (+ (* b (+ (* 2 (/ (log (+ 1 (exp a))) (+ 1 (exp a)))) (* b (+ (* (log (+ 1 (exp a))) (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (pow (log (+ 1 (exp a))) 2)) (pow a 2))>
#<alt (- (+ (* b (+ (* 2 (/ (log (+ 1 (exp a))) (+ 1 (exp a)))) (* b (+ (* b (- (+ (* 1/3 (* (log (+ 1 (exp a))) (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (pow (+ 1 (exp a)) 2))) (/ 1 (pow (+ 1 (exp a)) 3)))) (+ (* (log (+ 1 (exp a))) (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (/ 1 (pow (+ 1 (exp a)) 2))))))) (pow (log (+ 1 (exp a))) 2)) (pow a 2))>
#<alt (- (pow (log (+ (exp a) (exp b))) 2) (pow a 2))>
#<alt (- (pow (log (+ (exp a) (exp b))) 2) (pow a 2))>
#<alt (- (pow (log (+ (exp a) (exp b))) 2) (pow a 2))>
#<alt (- (pow (log (+ (exp a) (exp b))) 2) (pow a 2))>
#<alt (- (pow (log (+ (exp a) (exp b))) 2) (pow a 2))>
#<alt (- (pow (log (+ (exp a) (exp b))) 2) (pow a 2))>
#<alt (- (pow (log (+ (exp a) (exp b))) 2) (pow a 2))>
#<alt (- (pow (log (+ (exp a) (exp b))) 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 (* -1/24 (pow b 3)))>
#<alt (+ 1/2 (* (pow b 3) (- (* 1/288 (pow b 3)) 1/24)))>
#<alt (+ 1/2 (* (pow b 3) (- (* (pow b 3) (+ 1/288 (* -1/3456 (pow b 3)))) 1/24)))>
#<alt (/ 6 (pow b 3))>
#<alt (/ (- 6 (* 72 (/ 1 (pow b 3)))) (pow b 3))>
#<alt (/ (- (+ 6 (/ 864 (pow b 6))) (* 72 (/ 1 (pow b 3)))) (pow b 3))>
#<alt (/ (- (+ 6 (/ 864 (pow b 6))) (+ (* 72 (/ 1 (pow b 3))) (* 10368 (/ 1 (pow b 9))))) (pow b 3))>
#<alt (/ 6 (pow b 3))>
#<alt (* -1 (/ (- (* 72 (/ 1 (pow b 3))) 6) (pow b 3)))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 864 (/ 1 (pow b 3))) 72) (pow b 3))) 6) (pow b 3)))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 10368 (/ 1 (pow b 3))) 864) (pow b 3))) 72) (pow b 3))) 6) (pow b 3)))>
#<alt 2>
#<alt (+ 2 (* 1/6 (pow b 3)))>
#<alt (+ 2 (* 1/6 (pow b 3)))>
#<alt (+ 2 (* 1/6 (pow b 3)))>
#<alt (* 1/6 (pow b 3))>
#<alt (* (pow b 3) (+ 1/6 (* 2 (/ 1 (pow b 3)))))>
#<alt (* (pow b 3) (+ 1/6 (* 2 (/ 1 (pow b 3)))))>
#<alt (* (pow b 3) (+ 1/6 (* 2 (/ 1 (pow b 3)))))>
#<alt (* 1/6 (pow b 3))>
#<alt (* (pow b 3) (+ 1/6 (* 2 (/ 1 (pow b 3)))))>
#<alt (* (pow b 3) (+ 1/6 (* 2 (/ 1 (pow b 3)))))>
#<alt (* (pow b 3) (+ 1/6 (* 2 (/ 1 (pow b 3)))))>
#<alt (* 1/6 (pow b 3))>
#<alt (* 1/6 (pow b 3))>
#<alt (* 1/6 (pow b 3))>
#<alt (* 1/6 (pow b 3))>
#<alt (* 1/6 (pow b 3))>
#<alt (* 1/6 (pow b 3))>
#<alt (* 1/6 (pow b 3))>
#<alt (* 1/6 (pow b 3))>
#<alt (* 1/6 (pow b 3))>
#<alt (* 1/6 (pow b 3))>
#<alt (* 1/6 (pow b 3))>
#<alt (* 1/6 (pow b 3))>
#<alt (* 1/6 (pow b 2))>
#<alt (* 1/6 (pow b 2))>
#<alt (* 1/6 (pow b 2))>
#<alt (* 1/6 (pow b 2))>
#<alt (* 1/6 (pow b 2))>
#<alt (* 1/6 (pow b 2))>
#<alt (* 1/6 (pow b 2))>
#<alt (* 1/6 (pow b 2))>
#<alt (* 1/6 (pow b 2))>
#<alt (* 1/6 (pow b 2))>
#<alt (* 1/6 (pow b 2))>
#<alt (* 1/6 (pow b 2))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 b))>
#<alt (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))>
#<alt (+ 1/2 (* b (- (* (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 (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -1/4 (pow b 2))))>
#<alt (* (pow b 2) (+ 1 (* (pow b 2) (- (* -1/6 b) 1/4))))>
#<alt (* (pow b 2) (+ 1 (* (pow b 2) (- (* b (- (* -1/36 b) 1/6)) 1/4))))>
#<alt (* -1/36 (pow b 6))>
#<alt (* -1 (* (pow b 6) (+ 1/36 (* 1/6 (/ 1 b)))))>
#<alt (* (pow b 6) (- (* -1 (/ (+ 1/6 (* 1/4 (/ 1 b))) b)) 1/36))>
#<alt (* (pow b 6) (- (/ 1 (pow b 4)) (+ 1/36 (+ (/ 1/4 (pow b 2)) (* 1/6 (/ 1 b))))))>
#<alt (* -1/36 (pow b 6))>
#<alt (* -1 (* (pow b 6) (+ 1/36 (* 1/6 (/ 1 b)))))>
#<alt (* (pow b 6) (- (* -1 (/ (+ 1/6 (* 1/4 (/ 1 b))) b)) 1/36))>
#<alt (* (pow b 6) (- (* -1 (/ (+ 1/6 (* -1 (/ (- (/ 1 (pow b 2)) 1/4) b))) b)) 1/36))>
#<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 1/8>
#<alt (+ 1/8 (* -1/64 (pow b 3)))>
#<alt (+ 1/8 (* (pow b 3) (- (* -3/128 b) 1/64)))>
#<alt (+ 1/8 (* (pow b 3) (- (* b (- (* -5/256 b) 3/128)) 1/64)))>
#<alt (/ 216 (pow b 9))>
#<alt (/ (- 216 (* 1944 (/ 1 b))) (pow b 9))>
#<alt (/ (- (+ 216 (/ 7776 (pow b 2))) (* 1944 (/ 1 b))) (pow b 9))>
#<alt (/ (- (+ 216 (/ 7776 (pow b 2))) (+ (* 1944 (/ 1 b)) (* 11664 (/ 1 (pow b 3))))) (pow b 9))>
#<alt (/ 216 (pow b 9))>
#<alt (* -1 (/ (- (* 1944 (/ 1 b)) 216) (pow b 9)))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 7776 (/ 1 b)) 1944) b)) 216) (pow b 9)))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 11664 (/ 1 b)) 7776) b)) 1944) b)) 216) (pow b 9)))>
#<alt 8>
#<alt (+ 8 (pow b 3))>
#<alt (+ 8 (* (pow b 3) (+ 1 (* 3/2 b))))>
#<alt (+ 8 (* (pow b 3) (+ 1 (* b (+ 3/2 (* 5/4 b))))))>
#<alt (* 1/216 (pow b 9))>
#<alt (* (pow b 9) (+ 1/216 (* 1/24 (/ 1 b))))>
#<alt (* (pow b 9) (+ 1/216 (+ (/ 5/24 (pow b 2)) (* 1/24 (/ 1 b)))))>
#<alt (* (pow b 9) (+ 1/216 (+ (/ 5/24 (pow b 2)) (+ (* 1/24 (/ 1 b)) (* 5/8 (/ 1 (pow b 3)))))))>
#<alt (* 1/216 (pow b 9))>
#<alt (* (pow b 9) (+ 1/216 (* 1/24 (/ 1 b))))>
#<alt (* -1 (* (pow b 9) (- (* -1 (/ (+ 1/24 (* 5/24 (/ 1 b))) b)) 1/216)))>
#<alt (* -1 (* (pow b 9) (- (* -1 (/ (+ 1/24 (+ (/ 5/8 (pow b 2)) (* 5/24 (/ 1 b)))) b)) 1/216)))>
#<alt (pow b 3)>
#<alt (* (pow b 3) (+ 1 (* 3/2 b)))>
#<alt (* (pow b 3) (+ 1 (* b (+ 3/2 (* 5/4 b)))))>
#<alt (* (pow b 3) (+ 1 (* b (+ 3/2 (* b (+ 5/4 (* 5/8 b)))))))>
#<alt (* 1/216 (pow b 9))>
#<alt (* (pow b 9) (+ 1/216 (* 1/24 (/ 1 b))))>
#<alt (* (pow b 9) (+ 1/216 (+ (/ 5/24 (pow b 2)) (* 1/24 (/ 1 b)))))>
#<alt (* (pow b 9) (+ 1/216 (+ (/ 5/24 (pow b 2)) (+ (* 1/24 (/ 1 b)) (* 5/8 (/ 1 (pow b 3)))))))>
#<alt (* 1/216 (pow b 9))>
#<alt (* (pow b 9) (+ 1/216 (* 1/24 (/ 1 b))))>
#<alt (* -1 (* (pow b 9) (- (* -1 (/ (+ 1/24 (* 5/24 (/ 1 b))) b)) 1/216)))>
#<alt (* -1 (* (pow b 9) (- (* -1 (/ (+ 1/24 (+ (/ 5/8 (pow b 2)) (* 5/24 (/ 1 b)))) b)) 1/216)))>
#<alt (log (/ 1 (+ 1 (exp b))))>
#<alt (+ (log (/ 1 (+ 1 (exp b)))) (* -1 (/ a (+ 1 (exp b)))))>
#<alt (+ (log (/ 1 (+ 1 (exp b)))) (* a (- (* 1/2 (* a (- (* 2 (* (+ 1 (exp b)) (- (/ 1 (pow (+ 1 (exp b)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))>
#<alt (+ (log (/ 1 (+ 1 (exp b)))) (* a (- (* a (+ (* 1/6 (* a (- (+ (* 6 (* (+ 1 (exp b)) (- (/ 1 (pow (+ 1 (exp b)) 3)) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (/ 1 (pow (+ 1 (exp b)) 4)))))) (* 6 (- (/ 1 (pow (+ 1 (exp b)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 2 (/ 1 (pow (+ 1 (exp b)) 3)))))) (* 1/2 (- (* 2 (* (+ 1 (exp b)) (- (/ 1 (pow (+ 1 (exp b)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))>
#<alt (log (/ 1 (+ (exp a) (exp b))))>
#<alt (log (/ 1 (+ (exp a) (exp b))))>
#<alt (log (/ 1 (+ (exp a) (exp b))))>
#<alt (log (/ 1 (+ (exp a) (exp b))))>
#<alt (log (/ 1 (+ (exp a) (exp b))))>
#<alt (log (/ 1 (+ (exp a) (exp b))))>
#<alt (log (/ 1 (+ (exp a) (exp b))))>
#<alt (log (/ 1 (+ (exp a) (exp b))))>
#<alt (log (/ 1 (+ 1 (exp a))))>
#<alt (+ (log (/ 1 (+ 1 (exp a)))) (* -1 (/ b (+ 1 (exp a)))))>
#<alt (+ (log (/ 1 (+ 1 (exp a)))) (* b (- (* 1/2 (* b (- (* 2 (* (+ 1 (exp a)) (- (/ 1 (pow (+ 1 (exp a)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))>
#<alt (+ (log (/ 1 (+ 1 (exp a)))) (* b (- (* b (+ (* 1/6 (* b (- (+ (* 6 (* (+ 1 (exp a)) (- (/ 1 (pow (+ 1 (exp a)) 3)) (+ (* 1/6 (/ 1 (pow (+ 1 (exp a)) 2))) (/ 1 (pow (+ 1 (exp a)) 4)))))) (* 6 (- (/ 1 (pow (+ 1 (exp a)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 2 (/ 1 (pow (+ 1 (exp a)) 3)))))) (* 1/2 (- (* 2 (* (+ 1 (exp a)) (- (/ 1 (pow (+ 1 (exp a)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))>
#<alt (log (/ 1 (+ (exp a) (exp b))))>
#<alt (log (/ 1 (+ (exp a) (exp b))))>
#<alt (log (/ 1 (+ (exp a) (exp b))))>
#<alt (log (/ 1 (+ (exp a) (exp b))))>
#<alt (log (/ 1 (+ (exp a) (exp b))))>
#<alt (log (/ 1 (+ (exp a) (exp b))))>
#<alt (log (/ 1 (+ (exp a) (exp b))))>
#<alt (log (/ 1 (+ (exp a) (exp b))))>
#<alt (log (+ 1 (exp b)))>
#<alt (+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))>
#<alt (+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))>
#<alt (+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ 1 (exp a)))>
#<alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))>
#<alt (+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))>
#<alt (+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (pow (log (+ 1 (exp b))) 2)>
#<alt (+ (* 2 (/ (* a (log (+ 1 (exp b)))) (+ 1 (exp b)))) (pow (log (+ 1 (exp b))) 2))>
#<alt (+ (* a (+ (* 2 (/ (log (+ 1 (exp b))) (+ 1 (exp b)))) (* a (+ (* (log (+ 1 (exp b))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (pow (log (+ 1 (exp b))) 2))>
#<alt (+ (* a (+ (* 2 (/ (log (+ 1 (exp b))) (+ 1 (exp b)))) (* a (+ (* a (- (+ (* 1/3 (* (log (+ 1 (exp b))) (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (pow (+ 1 (exp b)) 2))) (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* (log (+ 1 (exp b))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (pow (+ 1 (exp b)) 2))))))) (pow (log (+ 1 (exp b))) 2))>
#<alt (pow (log (+ (exp a) (exp b))) 2)>
#<alt (pow (log (+ (exp a) (exp b))) 2)>
#<alt (pow (log (+ (exp a) (exp b))) 2)>
#<alt (pow (log (+ (exp a) (exp b))) 2)>
#<alt (pow (log (+ (exp a) (exp b))) 2)>
#<alt (pow (log (+ (exp a) (exp b))) 2)>
#<alt (pow (log (+ (exp a) (exp b))) 2)>
#<alt (pow (log (+ (exp a) (exp b))) 2)>
#<alt (pow (log (+ 1 (exp a))) 2)>
#<alt (+ (* 2 (/ (* b (log (+ 1 (exp a)))) (+ 1 (exp a)))) (pow (log (+ 1 (exp a))) 2))>
#<alt (+ (* b (+ (* 2 (/ (log (+ 1 (exp a))) (+ 1 (exp a)))) (* b (+ (* (log (+ 1 (exp a))) (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (pow (log (+ 1 (exp a))) 2))>
#<alt (+ (* b (+ (* 2 (/ (log (+ 1 (exp a))) (+ 1 (exp a)))) (* b (+ (* b (- (+ (* 1/3 (* (log (+ 1 (exp a))) (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (pow (+ 1 (exp a)) 2))) (/ 1 (pow (+ 1 (exp a)) 3)))) (+ (* (log (+ 1 (exp a))) (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (/ 1 (pow (+ 1 (exp a)) 2))))))) (pow (log (+ 1 (exp a))) 2))>
#<alt (pow (log (+ (exp a) (exp b))) 2)>
#<alt (pow (log (+ (exp a) (exp b))) 2)>
#<alt (pow (log (+ (exp a) (exp b))) 2)>
#<alt (pow (log (+ (exp a) (exp b))) 2)>
#<alt (pow (log (+ (exp a) (exp b))) 2)>
#<alt (pow (log (+ (exp a) (exp b))) 2)>
#<alt (pow (log (+ (exp a) (exp b))) 2)>
#<alt (pow (log (+ (exp a) (exp b))) 2)>
#<alt (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt (* 1/2 b)>
#<alt (* b (+ 1/2 (* 1/6 b)))>
#<alt (* b (+ 1/2 (* 1/6 b)))>
#<alt (* b (+ 1/2 (* 1/6 b)))>
#<alt (* 1/6 (pow b 2))>
#<alt (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* 1/6 (pow b 2))>
#<alt (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))>
Calls

87 calls:

TimeVariablePointExpression
316.0ms
a
@-inf
(log (/ 1 (+ (exp a) (exp b))))
94.0ms
b
@-inf
(pow (exp (- (pow (log (+ (exp a) (exp b))) 2) (* a a))) (/ 1 (- (log (/ 1 (+ (exp a) (exp b)))) a)))
40.0ms
b
@inf
(pow (exp (- (pow (log (+ (exp a) (exp b))) 2) (* a a))) (/ 1 (- (log (/ 1 (+ (exp a) (exp b)))) a)))
26.0ms
a
@inf
(log (/ 1 (+ (exp a) (exp b))))
11.0ms
a
@0
(pow (exp (- (pow (log (+ (exp a) (exp b))) 2) (* a a))) (/ 1 (- (log (/ 1 (+ (exp a) (exp b)))) a)))

rewrite386.0ms (3.8%)

Algorithm
1×batch-egg-rewrite
Rules
3692×fma-lowering-fma.f32
3692×fma-lowering-fma.f64
2234×*-lowering-*.f32
2234×*-lowering-*.f64
2044×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
049360
1343195
23119191
08085191
Stop Event
1×iter limit
1×node limit
Counts
22 → 578
Calls
Call 1
Inputs
(pow (exp (- (pow (log (+ (exp a) (exp b))) 2) (* a a))) (/ 1 (- (log (/ 1 (+ (exp a) (exp b)))) a)))
(/ 1 (- (log (/ 1 (+ (exp a) (exp b)))) a))
(exp (- (pow (log (+ (exp a) (exp b))) 2) (* a a)))
(- (pow (log (+ (exp a) (exp b))) 2) (* a a))
(* -1/4 b)
(/ 1 (+ 2 (* b (* b (* b 1/6)))))
(+ 2 (* b (* b (* b 1/6))))
(* b (* b (* b 1/6)))
(* b (* b 1/6))
(/ 1 (+ 2 (/ (- (* b b) (* (* b (* b (+ 1/2 (* b 1/6)))) (* b (* b (+ 1/2 (* b 1/6)))))) (- b (* b (* b (+ 1/2 (* b 1/6))))))))
(+ 2 (/ (- (* b b) (* (* b (* b (+ 1/2 (* b 1/6)))) (* b (* b (+ 1/2 (* b 1/6)))))) (- b (* b (* b (+ 1/2 (* b 1/6)))))))
(/ (- (* b b) (* (* b (* b (+ 1/2 (* b 1/6)))) (* b (* b (+ 1/2 (* b 1/6)))))) (- b (* b (* b (+ 1/2 (* b 1/6))))))
(- (* b b) (* (* b (* b (+ 1/2 (* b 1/6)))) (* b (* b (+ 1/2 (* b 1/6))))))
(* (/ 1 (+ 8 (* (* b (+ 1 (* b (+ 1/2 (* b 1/6))))) (* b (* (+ 1 (* b (+ 1/2 (* b 1/6)))) (* b (+ 1 (* b (+ 1/2 (* b 1/6)))))))))) (+ 4 (* (* b (+ 1 (* b (+ 1/2 (* b 1/6))))) (- (* b (+ 1 (* b (+ 1/2 (* b 1/6))))) 2))))
(/ 1 (+ 8 (* (* b (+ 1 (* b (+ 1/2 (* b 1/6))))) (* b (* (+ 1 (* b (+ 1/2 (* b 1/6)))) (* b (+ 1 (* b (+ 1/2 (* b 1/6))))))))))
(+ 8 (* (* b (+ 1 (* b (+ 1/2 (* b 1/6))))) (* b (* (+ 1 (* b (+ 1/2 (* b 1/6)))) (* b (+ 1 (* b (+ 1/2 (* b 1/6)))))))))
(* (* b (+ 1 (* b (+ 1/2 (* b 1/6))))) (* b (* (+ 1 (* b (+ 1/2 (* b 1/6)))) (* b (+ 1 (* b (+ 1/2 (* b 1/6))))))))
(log (/ 1 (+ (exp a) (exp b))))
(log (+ (exp a) (exp b)))
(pow (log (+ (exp a) (exp b))) 2)
(* b 1/6)
(* b (+ 1/2 (* b 1/6)))
Outputs
(exp.f64 (+.f64 a (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))))))
(exp.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (*.f64 a a)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))) a))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))) a))))))
(exp.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (*.f64 a a)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))) a))))))
(exp.f64 (*.f64 (log.f64 (exp.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))) a)))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (*.f64 a a)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))) a))))
(exp.f64 (*.f64 (log.f64 (*.f64 (exp.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (*.f64 a a))) (exp.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))) a)))))
(pow.f64 (exp.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))) a)))
(pow.f64 (exp.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (*.f64 a a))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))) a))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))) a)))))
(pow.f64 (exp.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (*.f64 a a))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))) a)))))
(pow.f64 (exp.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))) a))))) #s(literal 2 binary64))
(pow.f64 (exp.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (*.f64 a a)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))) a)))
(pow.f64 (*.f64 (exp.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (*.f64 a a))) (exp.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))) a))))
(*.f64 (exp.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))) a))))) (exp.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))) a))))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))) a)) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))) a)))
(/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))) a))
(/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (neg.f64 (-.f64 #s(literal 0 binary64) a)))))
(/.f64 #s(literal -1 binary64) (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (neg.f64 (-.f64 #s(literal 0 binary64) a))))
(pow.f64 (-.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))) a) #s(literal -1 binary64))
(pow.f64 (neg.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (neg.f64 (-.f64 #s(literal 0 binary64) a)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))) a)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))) a)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (neg.f64 (-.f64 #s(literal 0 binary64) a)))))
(*.f64 (pow.f64 (-.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))) a) #s(literal -1/2 binary64)) (pow.f64 (-.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))) a) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 3 binary64))) (*.f64 a (*.f64 a a)))) (+.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (*.f64 a (+.f64 a (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (*.f64 a a))) (+.f64 a (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))))))
(exp.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (*.f64 a a)))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (*.f64 a a)) (exp.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)))))
(/.f64 (exp.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64))) (exp.f64 (*.f64 a a)))
(/.f64 (neg.f64 (exp.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)))) (neg.f64 (exp.f64 (*.f64 a a))))
(pow.f64 (/.f64 (exp.f64 (*.f64 a a)) (exp.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)))) #s(literal -1 binary64))
(*.f64 (exp.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64))) (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a))))
(*.f64 (exp.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a a))))
(log.f64 (exp.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (*.f64 a a))))
(+.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 a a)))
(+.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (log.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)))))
(+.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a a)))))
(+.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (*.f64 a a)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (*.f64 a a)))
(+.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (*.f64 a a)) (fma.f64 (neg.f64 (pow.f64 a #s(literal 1 binary64))) (pow.f64 a #s(literal 1 binary64)) (*.f64 a a)))
(+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)))
(-.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (*.f64 a a))
(-.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (log.f64 (exp.f64 (*.f64 a a))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (exp.f64 (*.f64 a a)) (exp.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64))))))
(-.f64 (/.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 6 binary64)) (+.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 4 binary64)) (*.f64 (*.f64 a a) (+.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (*.f64 a a))))) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a))) (+.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 4 binary64)) (*.f64 (*.f64 a a) (+.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (*.f64 a a))))))
(-.f64 (/.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 4 binary64)) (+.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (*.f64 a a))) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (*.f64 a a))))
(-.f64 (log.f64 (neg.f64 (exp.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64))))) (log.f64 (neg.f64 (exp.f64 (*.f64 a a)))))
(fma.f64 a (-.f64 #s(literal 0 binary64) a) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)))
(fma.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (-.f64 #s(literal 0 binary64) (*.f64 a a)))
(fma.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))) (-.f64 #s(literal 0 binary64) (*.f64 a a)))
(fma.f64 #s(literal -1 binary64) (*.f64 a a) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)))
(fma.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 6 binary64)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 4 binary64)) (*.f64 (*.f64 a a) (+.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (*.f64 a a))))) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (*.f64 a a)))
(fma.f64 (-.f64 #s(literal 0 binary64) a) a (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)))
(fma.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 4 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (*.f64 a a))) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (*.f64 a a)))
(fma.f64 (+.f64 a (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))))) (-.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))) a) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (*.f64 a a)))
(fma.f64 (exp.f64 (log.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (exp.f64 (log.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (-.f64 #s(literal 0 binary64) (*.f64 a a)))
(fma.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) a) (-.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) a) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (*.f64 a a)))
(neg.f64 (log.f64 (/.f64 (exp.f64 (*.f64 a a)) (exp.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 4 binary64)) (*.f64 (*.f64 a a) (+.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (*.f64 a a)))) (-.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 6 binary64)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (*.f64 a a)) (-.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 4 binary64)) (*.f64 a (*.f64 a (*.f64 a a))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 6 binary64)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)))) (+.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 4 binary64)) (*.f64 (*.f64 a a) (+.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (*.f64 a a)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 4 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) (+.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (*.f64 a a)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 6 binary64)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a))))) (neg.f64 (+.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 4 binary64)) (*.f64 (*.f64 a a) (+.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (*.f64 a a))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 4 binary64)) (*.f64 a (*.f64 a (*.f64 a a))))) (neg.f64 (+.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (*.f64 a a))))
(/.f64 (+.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 4 binary64)) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (-.f64 #s(literal 0 binary64) (*.f64 a a))) (*.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 a a))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 4 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (-.f64 #s(literal 0 binary64) (*.f64 a a)))) (-.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 a a))))
(pow.f64 (/.f64 (+.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 4 binary64)) (*.f64 (*.f64 a a) (+.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (*.f64 a a)))) (-.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 6 binary64)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (*.f64 a a)) (-.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 4 binary64)) (*.f64 a (*.f64 a (*.f64 a a))))) #s(literal -1 binary64))
(*.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 6 binary64)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 4 binary64)) (*.f64 (*.f64 a a) (+.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (*.f64 a a))))))
(*.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 4 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (*.f64 a a))))
(*.f64 (+.f64 a (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))))) (-.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))) a))
(*.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) a) (-.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) a))
(*.f64 b #s(literal -1/4 binary64))
(*.f64 #s(literal -1/4 binary64) b)
(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 b #s(literal 1/6 binary64)) (*.f64 b b)))) #s(literal -1 binary64)))
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(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))) #s(literal 2 binary64)))
(neg.f64 (*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))))))
(neg.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) #s(literal 2 binary64))
(*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (log.f64 (exp.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))
(*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (exp.f64 (log.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (exp.f64 (log.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))
(*.f64 b #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) b)
(+.f64 (*.f64 b (*.f64 b #s(literal 1/6 binary64))) (*.f64 b #s(literal 1/2 binary64)))
(+.f64 (*.f64 b #s(literal 1/2 binary64)) (*.f64 b (*.f64 b #s(literal 1/6 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 b (*.f64 b #s(literal 1/6 binary64)) (*.f64 b #s(literal 1/2 binary64)))
(fma.f64 b #s(literal 1/2 binary64) (*.f64 b (*.f64 b #s(literal 1/6 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 #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 #s(literal 1/2 binary64) b (*.f64 b (*.f64 b #s(literal 1/6 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 (pow.f64 (*.f64 b #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 b (*.f64 b #s(literal 1/6 binary64))) #s(literal 3 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 b (+.f64 (*.f64 b #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 b (+.f64 (*.f64 b #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(*.f64 (+.f64 (*.f64 b #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) b)
(*.f64 (*.f64 b (+.f64 (*.f64 b #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 b #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) b)

simplify417.0ms (4.1%)

Algorithm
1×egg-herbie
Rules
5398×+-lowering-+.f64
5398×+-lowering-+.f32
5094×*-lowering-*.f32
5094×*-lowering-*.f64
1818×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
08628620
128998403
084488403
Stop Event
1×iter limit
1×node limit
Counts
348 → 348
Calls
Call 1
Inputs
(exp (/ (pow (log (+ 1 (exp b))) 2) (log (/ 1 (+ 1 (exp b))))))
(+ (exp (/ (pow (log (+ 1 (exp b))) 2) (log (/ 1 (+ 1 (exp b)))))) (* a (* (exp (/ (pow (log (+ 1 (exp b))) 2) (log (/ 1 (+ 1 (exp b)))))) (+ (* 2 (/ (log (+ 1 (exp b))) (* (log (/ 1 (+ 1 (exp b)))) (+ 1 (exp b))))) (/ (* (pow (log (+ 1 (exp b))) 2) (+ 1 (/ 1 (+ 1 (exp b))))) (pow (log (/ 1 (+ 1 (exp b)))) 2))))))
(+ (exp (/ (pow (log (+ 1 (exp b))) 2) (log (/ 1 (+ 1 (exp b)))))) (* a (+ (* a (* (exp (/ (pow (log (+ 1 (exp b))) 2) (log (/ 1 (+ 1 (exp b)))))) (+ (* -1 (* (pow (log (+ 1 (exp b))) 2) (+ (* -1 (/ (pow (+ 1 (/ 1 (+ 1 (exp b)))) 2) (pow (log (/ 1 (+ 1 (exp b)))) 3))) (* 1/2 (/ (- (* 2 (* (+ 1 (exp b)) (- (/ 1 (pow (+ 1 (exp b)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (pow (+ 1 (exp b)) 2))) (pow (log (/ 1 (+ 1 (exp b)))) 2)))))) (+ (* 1/2 (/ (+ (* -4 (/ (pow (log (+ 1 (exp b))) 2) (pow (+ 1 (exp b)) 2))) (* 2 (- (+ (* 2 (/ (pow (log (+ 1 (exp b))) 2) (pow (+ 1 (exp b)) 2))) (+ (* (log (+ 1 (exp b))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (pow (+ 1 (exp b)) 2)))) 1))) (log (/ 1 (+ 1 (exp b)))))) (+ (* 1/2 (pow (+ (* 2 (/ (log (+ 1 (exp b))) (* (log (/ 1 (+ 1 (exp b)))) (+ 1 (exp b))))) (/ (* (pow (log (+ 1 (exp b))) 2) (+ 1 (/ 1 (+ 1 (exp b))))) (pow (log (/ 1 (+ 1 (exp b)))) 2))) 2)) (* 2 (/ (* (log (+ 1 (exp b))) (+ 1 (/ 1 (+ 1 (exp b))))) (* (pow (log (/ 1 (+ 1 (exp b)))) 2) (+ 1 (exp b)))))))))) (* (exp (/ (pow (log (+ 1 (exp b))) 2) (log (/ 1 (+ 1 (exp b)))))) (+ (* 2 (/ (log (+ 1 (exp b))) (* (log (/ 1 (+ 1 (exp b)))) (+ 1 (exp b))))) (/ (* (pow (log (+ 1 (exp b))) 2) (+ 1 (/ 1 (+ 1 (exp b))))) (pow (log (/ 1 (+ 1 (exp b)))) 2)))))))
(+ (exp (/ (pow (log (+ 1 (exp b))) 2) (log (/ 1 (+ 1 (exp b)))))) (* a (+ (* a (+ (* a (* (exp (/ (pow (log (+ 1 (exp b))) 2) (log (/ 1 (+ 1 (exp b)))))) (+ (* -2 (/ (* (log (+ 1 (exp b))) (+ (* -1 (/ (pow (+ 1 (/ 1 (+ 1 (exp b)))) 2) (pow (log (/ 1 (+ 1 (exp b)))) 3))) (* 1/2 (/ (- (* 2 (* (+ 1 (exp b)) (- (/ 1 (pow (+ 1 (exp b)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (pow (+ 1 (exp b)) 2))) (pow (log (/ 1 (+ 1 (exp b)))) 2))))) (+ 1 (exp b)))) (+ (* -1 (* (pow (log (+ 1 (exp b))) 2) (+ (* 1/6 (/ (- (+ (* 6 (* (+ 1 (exp b)) (- (/ 1 (pow (+ 1 (exp b)) 3)) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (/ 1 (pow (+ 1 (exp b)) 4)))))) (* 6 (- (/ 1 (pow (+ 1 (exp b)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 2 (/ 1 (pow (+ 1 (exp b)) 3)))) (pow (log (/ 1 (+ 1 (exp b)))) 2))) (+ (* 1/2 (/ (* (+ 1 (/ 1 (+ 1 (exp b)))) (- (* 2 (* (+ 1 (exp b)) (- (/ 1 (pow (+ 1 (exp b)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (pow (+ 1 (exp b)) 2)))) (pow (log (/ 1 (+ 1 (exp b)))) 3))) (/ (* (+ 1 (/ 1 (+ 1 (exp b)))) (+ (* -1 (/ (pow (+ 1 (/ 1 (+ 1 (exp b)))) 2) (pow (log (/ 1 (+ 1 (exp b)))) 3))) (* 1/2 (/ (- (* 2 (* (+ 1 (exp b)) (- (/ 1 (pow (+ 1 (exp b)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (pow (+ 1 (exp b)) 2))) (pow (log (/ 1 (+ 1 (exp b)))) 2))))) (log (/ 1 (+ 1 (exp b))))))))) (+ (* 1/6 (/ (+ (* -12 (/ (* (log (+ 1 (exp b))) (- (+ (* 2 (/ (pow (log (+ 1 (exp b))) 2) (pow (+ 1 (exp b)) 2))) (+ (* (log (+ 1 (exp b))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (pow (+ 1 (exp b)) 2)))) 1)) (+ 1 (exp b)))) (+ (* 6 (- (+ (* 1/3 (* (log (+ 1 (exp b))) (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (+ (* 4/3 (/ (pow (log (+ 1 (exp b))) 3) (pow (+ 1 (exp b)) 3))) (+ (* 2 (/ (* (log (+ 1 (exp b))) (- (+ (* (log (+ 1 (exp b))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (pow (+ 1 (exp b)) 2))) 1)) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 16 (/ (pow (log (+ 1 (exp b))) 3) (pow (+ 1 (exp b)) 3))))) (log (/ 1 (+ 1 (exp b)))))) (+ (* 1/6 (pow (+ (* 2 (/ (log (+ 1 (exp b))) (* (log (/ 1 (+ 1 (exp b)))) (+ 1 (exp b))))) (/ (* (pow (log (+ 1 (exp b))) 2) (+ 1 (/ 1 (+ 1 (exp b))))) (pow (log (/ 1 (+ 1 (exp b)))) 2))) 3)) (+ (* 1/2 (/ (* (+ 1 (/ 1 (+ 1 (exp b)))) (+ (* -4 (/ (pow (log (+ 1 (exp b))) 2) (pow (+ 1 (exp b)) 2))) (* 2 (- (+ (* 2 (/ (pow (log (+ 1 (exp b))) 2) (pow (+ 1 (exp b)) 2))) (+ (* (log (+ 1 (exp b))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (pow (+ 1 (exp b)) 2)))) 1)))) (pow (log (/ 1 (+ 1 (exp b)))) 2))) (* (+ (* -1 (* (pow (log (+ 1 (exp b))) 2) (+ (* -1 (/ (pow (+ 1 (/ 1 (+ 1 (exp b)))) 2) (pow (log (/ 1 (+ 1 (exp b)))) 3))) (* 1/2 (/ (- (* 2 (* (+ 1 (exp b)) (- (/ 1 (pow (+ 1 (exp b)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (pow (+ 1 (exp b)) 2))) (pow (log (/ 1 (+ 1 (exp b)))) 2)))))) (+ (* 1/2 (/ (+ (* -4 (/ (pow (log (+ 1 (exp b))) 2) (pow (+ 1 (exp b)) 2))) (* 2 (- (+ (* 2 (/ (pow (log (+ 1 (exp b))) 2) (pow (+ 1 (exp b)) 2))) (+ (* (log (+ 1 (exp b))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (pow (+ 1 (exp b)) 2)))) 1))) (log (/ 1 (+ 1 (exp b)))))) (* 2 (/ (* (log (+ 1 (exp b))) (+ 1 (/ 1 (+ 1 (exp b))))) (* (pow (log (/ 1 (+ 1 (exp b)))) 2) (+ 1 (exp b))))))) (+ (* 2 (/ (log (+ 1 (exp b))) (* (log (/ 1 (+ 1 (exp b)))) (+ 1 (exp b))))) (/ (* (pow (log (+ 1 (exp b))) 2) (+ 1 (/ 1 (+ 1 (exp b))))) (pow (log (/ 1 (+ 1 (exp b)))) 2))))))))))) (* (exp (/ (pow (log (+ 1 (exp b))) 2) (log (/ 1 (+ 1 (exp b)))))) (+ (* -1 (* (pow (log (+ 1 (exp b))) 2) (+ (* -1 (/ (pow (+ 1 (/ 1 (+ 1 (exp b)))) 2) (pow (log (/ 1 (+ 1 (exp b)))) 3))) (* 1/2 (/ (- (* 2 (* (+ 1 (exp b)) (- (/ 1 (pow (+ 1 (exp b)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (pow (+ 1 (exp b)) 2))) (pow (log (/ 1 (+ 1 (exp b)))) 2)))))) (+ (* 1/2 (/ (+ (* -4 (/ (pow (log (+ 1 (exp b))) 2) (pow (+ 1 (exp b)) 2))) (* 2 (- (+ (* 2 (/ (pow (log (+ 1 (exp b))) 2) (pow (+ 1 (exp b)) 2))) (+ (* (log (+ 1 (exp b))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (pow (+ 1 (exp b)) 2)))) 1))) (log (/ 1 (+ 1 (exp b)))))) (+ (* 1/2 (pow (+ (* 2 (/ (log (+ 1 (exp b))) (* (log (/ 1 (+ 1 (exp b)))) (+ 1 (exp b))))) (/ (* (pow (log (+ 1 (exp b))) 2) (+ 1 (/ 1 (+ 1 (exp b))))) (pow (log (/ 1 (+ 1 (exp b)))) 2))) 2)) (* 2 (/ (* (log (+ 1 (exp b))) (+ 1 (/ 1 (+ 1 (exp b))))) (* (pow (log (/ 1 (+ 1 (exp b)))) 2) (+ 1 (exp b))))))))))) (* (exp (/ (pow (log (+ 1 (exp b))) 2) (log (/ 1 (+ 1 (exp b)))))) (+ (* 2 (/ (log (+ 1 (exp b))) (* (log (/ 1 (+ 1 (exp b)))) (+ 1 (exp b))))) (/ (* (pow (log (+ 1 (exp b))) 2) (+ 1 (/ 1 (+ 1 (exp b))))) (pow (log (/ 1 (+ 1 (exp b)))) 2)))))))
1
(+ 1 (* -1 (/ (- (pow (log (+ (exp a) (exp b))) 2) (pow a 2)) a)))
(+ 1 (+ (* -1 (/ (* (log (/ 1 (+ (exp a) (exp b)))) (- (pow (log (+ (exp a) (exp b))) 2) (pow a 2))) (pow a 2))) (+ (* -1 (/ (- (pow (log (+ (exp a) (exp b))) 2) (pow a 2)) a)) (* 1/2 (/ (pow (- (pow (log (+ (exp a) (exp b))) 2) (pow a 2)) 2) (pow a 2))))))
(+ 1 (+ (* -1 (/ (* (log (/ 1 (+ (exp a) (exp b)))) (- (pow (log (+ (exp a) (exp b))) 2) (pow a 2))) (pow a 2))) (+ (* -1 (/ (* (pow (log (/ 1 (+ (exp a) (exp b)))) 2) (- (pow (log (+ (exp a) (exp b))) 2) (pow a 2))) (pow a 3))) (+ (* -1 (/ (- (pow (log (+ (exp a) (exp b))) 2) (pow a 2)) a)) (+ (* -1/6 (/ (pow (- (pow (log (+ (exp a) (exp b))) 2) (pow a 2)) 3) (pow a 3))) (+ (* 1/2 (/ (pow (- (pow (log (+ (exp a) (exp b))) 2) (pow a 2)) 2) (pow a 2))) (/ (* (log (/ 1 (+ (exp a) (exp b)))) (pow (- (pow (log (+ (exp a) (exp b))) 2) (pow a 2)) 2)) (pow a 3))))))))
1
(+ 1 (* -1 (/ (- (pow (log (+ (exp a) (exp b))) 2) (pow a 2)) a)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (* (log (/ 1 (+ (exp a) (exp b)))) (- (pow (log (+ (exp a) (exp b))) 2) (pow a 2)))) (* 1/2 (pow (- (pow (log (+ (exp a) (exp b))) 2) (pow a 2)) 2))) a)) (pow (log (+ (exp a) (exp b))) 2)) (pow a 2)) a)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (* (log (/ 1 (+ (exp a) (exp b)))) (- (pow (log (+ (exp a) (exp b))) 2) (pow a 2)))) (+ (* -1 (/ (+ (* -1 (* (log (/ 1 (+ (exp a) (exp b)))) (pow (- (pow (log (+ (exp a) (exp b))) 2) (pow a 2)) 2))) (+ (* 1/6 (pow (- (pow (log (+ (exp a) (exp b))) 2) (pow a 2)) 3)) (* (pow (log (/ 1 (+ (exp a) (exp b)))) 2) (- (pow (log (+ (exp a) (exp b))) 2) (pow a 2))))) a)) (* 1/2 (pow (- (pow (log (+ (exp a) (exp b))) 2) (pow a 2)) 2)))) a)) (pow (log (+ (exp a) (exp b))) 2)) (pow a 2)) a)))
(exp (/ (- (pow (log (+ 1 (exp a))) 2) (pow a 2)) (- (log (/ 1 (+ 1 (exp a)))) a)))
(+ (exp (/ (- (pow (log (+ 1 (exp a))) 2) (pow a 2)) (- (log (/ 1 (+ 1 (exp a)))) a))) (* b (* (exp (/ (- (pow (log (+ 1 (exp a))) 2) (pow a 2)) (- (log (/ 1 (+ 1 (exp a)))) a))) (- (+ (* 2 (/ (log (+ 1 (exp a))) (* (+ 1 (exp a)) (- (log (/ 1 (+ 1 (exp a)))) a)))) (/ (pow (log (+ 1 (exp a))) 2) (* (+ 1 (exp a)) (pow (- (log (/ 1 (+ 1 (exp a)))) a) 2)))) (/ (pow a 2) (* (+ 1 (exp a)) (pow (- (log (/ 1 (+ 1 (exp a)))) a) 2)))))))
(+ (exp (/ (- (pow (log (+ 1 (exp a))) 2) (pow a 2)) (- (log (/ 1 (+ 1 (exp a)))) a))) (* b (+ (* b (* (exp (/ (- (pow (log (+ 1 (exp a))) 2) (pow a 2)) (- (log (/ 1 (+ 1 (exp a)))) a))) (+ (* 1/2 (/ (+ (* -4 (/ (pow (log (+ 1 (exp a))) 2) (pow (+ 1 (exp a)) 2))) (* 2 (+ (* 2 (/ (pow (log (+ 1 (exp a))) 2) (pow (+ 1 (exp a)) 2))) (+ (* (log (+ 1 (exp a))) (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (- (log (/ 1 (+ 1 (exp a)))) a))) (+ (* 1/2 (pow (- (+ (* 2 (/ (log (+ 1 (exp a))) (* (+ 1 (exp a)) (- (log (/ 1 (+ 1 (exp a)))) a)))) (/ (pow (log (+ 1 (exp a))) 2) (* (+ 1 (exp a)) (pow (- (log (/ 1 (+ 1 (exp a)))) a) 2)))) (/ (pow a 2) (* (+ 1 (exp a)) (pow (- (log (/ 1 (+ 1 (exp a)))) a) 2)))) 2)) (+ (* 2 (/ (log (+ 1 (exp a))) (* (pow (+ 1 (exp a)) 2) (pow (- (log (/ 1 (+ 1 (exp a)))) a) 2)))) (* (- (/ 1 (* (pow (+ 1 (exp a)) 2) (pow (- (log (/ 1 (+ 1 (exp a)))) a) 3))) (* 1/2 (/ (- (* 2 (* (+ 1 (exp a)) (- (/ 1 (pow (+ 1 (exp a)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (pow (+ 1 (exp a)) 2))) (pow (- (log (/ 1 (+ 1 (exp a)))) a) 2)))) (- (pow (log (+ 1 (exp a))) 2) (pow a 2)))))))) (* (exp (/ (- (pow (log (+ 1 (exp a))) 2) (pow a 2)) (- (log (/ 1 (+ 1 (exp a)))) a))) (- (+ (* 2 (/ (log (+ 1 (exp a))) (* (+ 1 (exp a)) (- (log (/ 1 (+ 1 (exp a)))) a)))) (/ (pow (log (+ 1 (exp a))) 2) (* (+ 1 (exp a)) (pow (- (log (/ 1 (+ 1 (exp a)))) a) 2)))) (/ (pow a 2) (* (+ 1 (exp a)) (pow (- (log (/ 1 (+ 1 (exp a)))) a) 2))))))))
(+ (exp (/ (- (pow (log (+ 1 (exp a))) 2) (pow a 2)) (- (log (/ 1 (+ 1 (exp a)))) a))) (* b (+ (* b (+ (* b (* (exp (/ (- (pow (log (+ 1 (exp a))) 2) (pow a 2)) (- (log (/ 1 (+ 1 (exp a)))) a))) (+ (* -1 (* (+ (* -1 (/ (- (/ 1 (* (pow (+ 1 (exp a)) 2) (pow (- (log (/ 1 (+ 1 (exp a)))) a) 3))) (* 1/2 (/ (- (* 2 (* (+ 1 (exp a)) (- (/ 1 (pow (+ 1 (exp a)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (pow (+ 1 (exp a)) 2))) (pow (- (log (/ 1 (+ 1 (exp a)))) a) 2)))) (* (+ 1 (exp a)) (- (log (/ 1 (+ 1 (exp a)))) a)))) (+ (* 1/6 (/ (- (+ (* 6 (* (+ 1 (exp a)) (- (/ 1 (pow (+ 1 (exp a)) 3)) (+ (* 1/6 (/ 1 (pow (+ 1 (exp a)) 2))) (/ 1 (pow (+ 1 (exp a)) 4)))))) (* 6 (- (/ 1 (pow (+ 1 (exp a)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 2 (/ 1 (pow (+ 1 (exp a)) 3)))) (pow (- (log (/ 1 (+ 1 (exp a)))) a) 2))) (* 1/2 (/ (- (* 2 (* (+ 1 (exp a)) (- (/ 1 (pow (+ 1 (exp a)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (pow (+ 1 (exp a)) 2))) (* (+ 1 (exp a)) (pow (- (log (/ 1 (+ 1 (exp 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(* (pow b 6) (- (* -1 (/ (+ 1/6 (* 1/4 (/ 1 b))) b)) 1/36))
(* (pow b 6) (- (/ 1 (pow b 4)) (+ 1/36 (+ (/ 1/4 (pow b 2)) (* 1/6 (/ 1 b))))))
(* -1/36 (pow b 6))
(* -1 (* (pow b 6) (+ 1/36 (* 1/6 (/ 1 b)))))
(* (pow b 6) (- (* -1 (/ (+ 1/6 (* 1/4 (/ 1 b))) b)) 1/36))
(* (pow b 6) (- (* -1 (/ (+ 1/6 (* -1 (/ (- (/ 1 (pow b 2)) 1/4) b))) b)) 1/36))
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)))
1/8
(+ 1/8 (* -1/64 (pow b 3)))
(+ 1/8 (* (pow b 3) (- (* -3/128 b) 1/64)))
(+ 1/8 (* (pow b 3) (- (* b (- (* -5/256 b) 3/128)) 1/64)))
(/ 216 (pow b 9))
(/ (- 216 (* 1944 (/ 1 b))) (pow b 9))
(/ (- (+ 216 (/ 7776 (pow b 2))) (* 1944 (/ 1 b))) (pow b 9))
(/ (- (+ 216 (/ 7776 (pow b 2))) (+ (* 1944 (/ 1 b)) (* 11664 (/ 1 (pow b 3))))) (pow b 9))
(/ 216 (pow b 9))
(* -1 (/ (- (* 1944 (/ 1 b)) 216) (pow b 9)))
(* -1 (/ (- (* -1 (/ (- (* 7776 (/ 1 b)) 1944) b)) 216) (pow b 9)))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 11664 (/ 1 b)) 7776) b)) 1944) b)) 216) (pow b 9)))
8
(+ 8 (pow b 3))
(+ 8 (* (pow b 3) (+ 1 (* 3/2 b))))
(+ 8 (* (pow b 3) (+ 1 (* b (+ 3/2 (* 5/4 b))))))
(* 1/216 (pow b 9))
(* (pow b 9) (+ 1/216 (* 1/24 (/ 1 b))))
(* (pow b 9) (+ 1/216 (+ (/ 5/24 (pow b 2)) (* 1/24 (/ 1 b)))))
(* (pow b 9) (+ 1/216 (+ (/ 5/24 (pow b 2)) (+ (* 1/24 (/ 1 b)) (* 5/8 (/ 1 (pow b 3)))))))
(* 1/216 (pow b 9))
(* (pow b 9) (+ 1/216 (* 1/24 (/ 1 b))))
(* -1 (* (pow b 9) (- (* -1 (/ (+ 1/24 (* 5/24 (/ 1 b))) b)) 1/216)))
(* -1 (* (pow b 9) (- (* -1 (/ (+ 1/24 (+ (/ 5/8 (pow b 2)) (* 5/24 (/ 1 b)))) b)) 1/216)))
(pow b 3)
(* (pow b 3) (+ 1 (* 3/2 b)))
(* (pow b 3) (+ 1 (* b (+ 3/2 (* 5/4 b)))))
(* (pow b 3) (+ 1 (* b (+ 3/2 (* b (+ 5/4 (* 5/8 b)))))))
(* 1/216 (pow b 9))
(* (pow b 9) (+ 1/216 (* 1/24 (/ 1 b))))
(* (pow b 9) (+ 1/216 (+ (/ 5/24 (pow b 2)) (* 1/24 (/ 1 b)))))
(* (pow b 9) (+ 1/216 (+ (/ 5/24 (pow b 2)) (+ (* 1/24 (/ 1 b)) (* 5/8 (/ 1 (pow b 3)))))))
(* 1/216 (pow b 9))
(* (pow b 9) (+ 1/216 (* 1/24 (/ 1 b))))
(* -1 (* (pow b 9) (- (* -1 (/ (+ 1/24 (* 5/24 (/ 1 b))) b)) 1/216)))
(* -1 (* (pow b 9) (- (* -1 (/ (+ 1/24 (+ (/ 5/8 (pow b 2)) (* 5/24 (/ 1 b)))) b)) 1/216)))
(log (/ 1 (+ 1 (exp b))))
(+ (log (/ 1 (+ 1 (exp b)))) (* -1 (/ a (+ 1 (exp b)))))
(+ (log (/ 1 (+ 1 (exp b)))) (* a (- (* 1/2 (* a (- (* 2 (* (+ 1 (exp b)) (- (/ 1 (pow (+ 1 (exp b)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))
(+ (log (/ 1 (+ 1 (exp b)))) (* a (- (* a (+ (* 1/6 (* a (- (+ (* 6 (* (+ 1 (exp b)) (- (/ 1 (pow (+ 1 (exp b)) 3)) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (/ 1 (pow (+ 1 (exp b)) 4)))))) (* 6 (- (/ 1 (pow (+ 1 (exp b)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 2 (/ 1 (pow (+ 1 (exp b)) 3)))))) (* 1/2 (- (* 2 (* (+ 1 (exp b)) (- (/ 1 (pow (+ 1 (exp b)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))
(log (/ 1 (+ (exp a) (exp b))))
(log (/ 1 (+ (exp a) (exp b))))
(log (/ 1 (+ (exp a) (exp b))))
(log (/ 1 (+ (exp a) (exp b))))
(log (/ 1 (+ (exp a) (exp b))))
(log (/ 1 (+ (exp a) (exp b))))
(log (/ 1 (+ (exp a) (exp b))))
(log (/ 1 (+ (exp a) (exp b))))
(log (/ 1 (+ 1 (exp a))))
(+ (log (/ 1 (+ 1 (exp a)))) (* -1 (/ b (+ 1 (exp a)))))
(+ (log (/ 1 (+ 1 (exp a)))) (* b (- (* 1/2 (* b (- (* 2 (* (+ 1 (exp a)) (- (/ 1 (pow (+ 1 (exp a)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))
(+ (log (/ 1 (+ 1 (exp a)))) (* b (- (* b (+ (* 1/6 (* b (- (+ (* 6 (* (+ 1 (exp a)) (- (/ 1 (pow (+ 1 (exp a)) 3)) (+ (* 1/6 (/ 1 (pow (+ 1 (exp a)) 2))) (/ 1 (pow (+ 1 (exp a)) 4)))))) (* 6 (- (/ 1 (pow (+ 1 (exp a)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 2 (/ 1 (pow (+ 1 (exp a)) 3)))))) (* 1/2 (- (* 2 (* (+ 1 (exp a)) (- (/ 1 (pow (+ 1 (exp a)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))
(log (/ 1 (+ (exp a) (exp b))))
(log (/ 1 (+ (exp a) (exp b))))
(log (/ 1 (+ (exp a) (exp b))))
(log (/ 1 (+ (exp a) (exp b))))
(log (/ 1 (+ (exp a) (exp b))))
(log (/ 1 (+ (exp a) (exp b))))
(log (/ 1 (+ (exp a) (exp b))))
(log (/ 1 (+ (exp a) (exp b))))
(log (+ 1 (exp b)))
(+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))
(+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))
(+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ 1 (exp a)))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))
(+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(pow (log (+ 1 (exp b))) 2)
(+ (* 2 (/ (* a (log (+ 1 (exp b)))) (+ 1 (exp b)))) (pow (log (+ 1 (exp b))) 2))
(+ (* a (+ (* 2 (/ (log (+ 1 (exp b))) (+ 1 (exp b)))) (* a (+ (* (log (+ 1 (exp b))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (pow (log (+ 1 (exp b))) 2))
(+ (* a (+ (* 2 (/ (log (+ 1 (exp b))) (+ 1 (exp b)))) (* a (+ (* a (- (+ (* 1/3 (* (log (+ 1 (exp b))) (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (pow (+ 1 (exp b)) 2))) (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* (log (+ 1 (exp b))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (pow (+ 1 (exp b)) 2))))))) (pow (log (+ 1 (exp b))) 2))
(pow (log (+ (exp a) (exp b))) 2)
(pow (log (+ (exp a) (exp b))) 2)
(pow (log (+ (exp a) (exp b))) 2)
(pow (log (+ (exp a) (exp b))) 2)
(pow (log (+ (exp a) (exp b))) 2)
(pow (log (+ (exp a) (exp b))) 2)
(pow (log (+ (exp a) (exp b))) 2)
(pow (log (+ (exp a) (exp b))) 2)
(pow (log (+ 1 (exp a))) 2)
(+ (* 2 (/ (* b (log (+ 1 (exp a)))) (+ 1 (exp a)))) (pow (log (+ 1 (exp a))) 2))
(+ (* b (+ (* 2 (/ (log (+ 1 (exp a))) (+ 1 (exp a)))) (* b (+ (* (log (+ 1 (exp a))) (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (pow (log (+ 1 (exp a))) 2))
(+ (* b (+ (* 2 (/ (log (+ 1 (exp a))) (+ 1 (exp a)))) (* b (+ (* b (- (+ (* 1/3 (* (log (+ 1 (exp a))) (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (pow (+ 1 (exp a)) 2))) (/ 1 (pow (+ 1 (exp a)) 3)))) (+ (* (log (+ 1 (exp a))) (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (/ 1 (pow (+ 1 (exp a)) 2))))))) (pow (log (+ 1 (exp a))) 2))
(pow (log (+ (exp a) (exp b))) 2)
(pow (log (+ (exp a) (exp b))) 2)
(pow (log (+ (exp a) (exp b))) 2)
(pow (log (+ (exp a) (exp b))) 2)
(pow (log (+ (exp a) (exp b))) 2)
(pow (log (+ (exp a) (exp b))) 2)
(pow (log (+ (exp a) (exp b))) 2)
(pow (log (+ (exp a) (exp b))) 2)
(* 1/6 b)
(* 1/6 b)
(* 1/6 b)
(* 1/6 b)
(* 1/6 b)
(* 1/6 b)
(* 1/6 b)
(* 1/6 b)
(* 1/6 b)
(* 1/6 b)
(* 1/6 b)
(* 1/6 b)
(* 1/2 b)
(* b (+ 1/2 (* 1/6 b)))
(* b (+ 1/2 (* 1/6 b)))
(* b (+ 1/2 (* 1/6 b)))
(* 1/6 (pow b 2))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(* 1/6 (pow b 2))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
Outputs
(exp (/ (pow (log (+ 1 (exp b))) 2) (log (/ 1 (+ 1 (exp b))))))
(exp.f64 (neg.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 b)) #s(literal 2 binary64)) (log1p.f64 (exp.f64 b)))))
(+ (exp (/ (pow (log (+ 1 (exp b))) 2) (log (/ 1 (+ 1 (exp b)))))) (* a (* (exp (/ (pow (log (+ 1 (exp b))) 2) (log (/ 1 (+ 1 (exp b)))))) (+ (* 2 (/ (log (+ 1 (exp b))) (* (log (/ 1 (+ 1 (exp b)))) (+ 1 (exp b))))) (/ (* (pow (log (+ 1 (exp b))) 2) (+ 1 (/ 1 (+ 1 (exp b))))) (pow (log (/ 1 (+ 1 (exp b)))) 2))))))
(+.f64 (exp.f64 (neg.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 b)) #s(literal 2 binary64)) (log1p.f64 (exp.f64 b))))) (*.f64 a (*.f64 (exp.f64 (neg.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 b)) #s(literal 2 binary64)) (log1p.f64 (exp.f64 b))))) (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 b))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 b))))) (/.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 b)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))) (pow.f64 (log1p.f64 (exp.f64 b)) #s(literal 2 binary64)))))))
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(+ (* b (+ (* 2 (/ (log (+ 1 (exp a))) (+ 1 (exp a)))) (* b (+ (* b (- (+ (* 1/3 (* (log (+ 1 (exp a))) (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (pow (+ 1 (exp a)) 2))) (/ 1 (pow (+ 1 (exp a)) 3)))) (+ (* (log (+ 1 (exp a))) (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (/ 1 (pow (+ 1 (exp a)) 2))))))) (pow (log (+ 1 (exp a))) 2))
(+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (*.f64 b (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 (*.f64 (log1p.f64 (exp.f64 a)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) (*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 (exp.f64 a))) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal -3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))))))))))))
(pow (log (+ (exp a) (exp b))) 2)
(pow.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal 2 binary64))
(pow (log (+ (exp a) (exp b))) 2)
(pow.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal 2 binary64))
(pow (log (+ (exp a) (exp b))) 2)
(pow.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal 2 binary64))
(pow (log (+ (exp a) (exp b))) 2)
(pow.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal 2 binary64))
(pow (log (+ (exp a) (exp b))) 2)
(pow.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal 2 binary64))
(pow (log (+ (exp a) (exp b))) 2)
(pow.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal 2 binary64))
(pow (log (+ (exp a) (exp b))) 2)
(pow.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal 2 binary64))
(pow (log (+ (exp a) (exp b))) 2)
(pow.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal 2 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))
(* 1/6 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)))

eval212.0ms (2.1%)

Compiler

Compiled 75673 to 4178 computations (94.5% saved)

prune143.0ms (1.4%)

Pruning

23 alts after pruning (16 fresh and 7 done)

PrunedKeptTotal
New127671283
Fresh8917
Picked325
Done055
Total1287231310
Accuracy
100.0%
Counts
1310 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
20.3%
(/.f64 (+.f64 (/.f64 #s(literal -18 binary64) b) #s(literal 6 binary64)) (*.f64 b (*.f64 b b)))
✓63.5%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
20.9%
(/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))
36.6%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64)))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 b #s(literal 1/6 binary64)) (*.f64 b b)) (-.f64 (*.f64 (*.f64 b #s(literal 1/6 binary64)) (*.f64 b b)) #s(literal 2 binary64))))))
36.8%
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
20.5%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 (*.f64 (*.f64 b (+.f64 b (*.f64 b (*.f64 (*.f64 b (+.f64 (*.f64 b #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 b (+.f64 (*.f64 b #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))) (*.f64 b (-.f64 b (*.f64 b (*.f64 (*.f64 b (+.f64 (*.f64 b #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 b (+.f64 (*.f64 b #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))) (*.f64 b (+.f64 b (*.f64 b (*.f64 (*.f64 b (+.f64 (*.f64 b #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 b (+.f64 (*.f64 b #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))) (-.f64 b (*.f64 b (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))))
40.3%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 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 #s(literal 1/2 binary64)))))))
39.8%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (*.f64 (+.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))))))) b) (-.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
54.7%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 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 #s(literal -1/6 binary64) b)))))))
39.4%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 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)))))))))
✓54.1%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (*.f64 b (*.f64 b #s(literal 1/6 binary64))))))
✓81.8%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
✓35.6%
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 b (*.f64 b #s(literal 1/48 binary64))))))
✓36.7%
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64)))
38.9%
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
37.2%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 b b) #s(literal 1/36 binary64))))) (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 b #s(literal 1/6 binary64)) (*.f64 b b))))
22.1%
(*.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)))
37.7%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))))) (+.f64 #s(literal 4 binary64) (*.f64 (*.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 #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
13.5%
(*.f64 #s(literal 1/48 binary64) (*.f64 b (*.f64 b b)))
✓4.0%
(*.f64 #s(literal -1/4 binary64) b)
51.1%
(exp.f64 a)
29.5%
#s(literal 1 binary64)
✓39.0%
#s(literal 1/2 binary64)
Compiler

Compiled 1496 to 470 computations (68.6% saved)

regimes59.0ms (0.6%)

Counts
41 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 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 1/48 binary64) (*.f64 b (*.f64 b b)))
(/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 b (*.f64 b #s(literal 1/48 binary64))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (*.f64 b (*.f64 b #s(literal 1/6 binary64))))))
(/.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 (+.f64 (/.f64 #s(literal -18 binary64) b) #s(literal 6 binary64)) (*.f64 b (*.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 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 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 #s(literal -1/6 binary64) b)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 b b) #s(literal 1/36 binary64))))) (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 b #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 (*.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 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (*.f64 (+.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))))))) 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 #s(literal 2 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 #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 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 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))) (*.f64 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 1 binary64) (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))) (*.f64 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 #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 8 binary64) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64)))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 b #s(literal 1/6 binary64)) (*.f64 b b)) (-.f64 (*.f64 (*.f64 b #s(literal 1/6 binary64)) (*.f64 b b)) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))) (*.f64 b (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))) b) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))) (-.f64 (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))) #s(literal 1 binary64)))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (/.f64 #s(literal 1 binary64) (/.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 (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))) (*.f64 b (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))))) (+.f64 #s(literal 4 binary64) (*.f64 (*.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 #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))))) (+.f64 #s(literal 4 binary64) (*.f64 (*.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)))))) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 (*.f64 (*.f64 b (+.f64 b (*.f64 b (*.f64 (*.f64 b (+.f64 (*.f64 b #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 b (+.f64 (*.f64 b #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))) (*.f64 b (-.f64 b (*.f64 b (*.f64 (*.f64 b (+.f64 (*.f64 b #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 b (+.f64 (*.f64 b #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))) (*.f64 b (+.f64 b (*.f64 b (*.f64 (*.f64 b (+.f64 (*.f64 b #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 b (+.f64 (*.f64 b #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))) (-.f64 b (*.f64 b (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 b (*.f64 (+.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 b (*.f64 (+.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)))))))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))) (*.f64 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))))))))))
(exp.f64 a)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #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 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(pow.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64)) a))
(+.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))))))
(pow.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))) a)))
Outputs
(exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64)) a))
Calls

5 calls:

11.0ms
b
11.0ms
a
10.0ms
(exp.f64 b)
10.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
9.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
98.1%1a
98.1%1b
98.1%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
98.1%1(exp.f64 a)
98.1%1(exp.f64 b)
Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes53.0ms (0.5%)

Counts
37 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 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 1/48 binary64) (*.f64 b (*.f64 b b)))
(/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 b (*.f64 b #s(literal 1/48 binary64))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (*.f64 b (*.f64 b #s(literal 1/6 binary64))))))
(/.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 (+.f64 (/.f64 #s(literal -18 binary64) b) #s(literal 6 binary64)) (*.f64 b (*.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 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 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 #s(literal -1/6 binary64) b)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 b b) #s(literal 1/36 binary64))))) (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 b #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 (*.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 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (*.f64 (+.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))))))) 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 #s(literal 2 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 #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 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 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))) (*.f64 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 1 binary64) (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))) (*.f64 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 #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 8 binary64) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64)))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 b #s(literal 1/6 binary64)) (*.f64 b b)) (-.f64 (*.f64 (*.f64 b #s(literal 1/6 binary64)) (*.f64 b b)) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))) (*.f64 b (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))) b) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))) (-.f64 (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))) #s(literal 1 binary64)))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (/.f64 #s(literal 1 binary64) (/.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 (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))) (*.f64 b (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))))) (+.f64 #s(literal 4 binary64) (*.f64 (*.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 #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))))) (+.f64 #s(literal 4 binary64) (*.f64 (*.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)))))) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 (*.f64 (*.f64 b (+.f64 b (*.f64 b (*.f64 (*.f64 b (+.f64 (*.f64 b #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 b (+.f64 (*.f64 b #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))) (*.f64 b (-.f64 b (*.f64 b (*.f64 (*.f64 b (+.f64 (*.f64 b #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 b (+.f64 (*.f64 b #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))) (*.f64 b (+.f64 b (*.f64 b (*.f64 (*.f64 b (+.f64 (*.f64 b #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 b (+.f64 (*.f64 b #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))) (-.f64 b (*.f64 b (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 b (*.f64 (+.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 b (*.f64 (+.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)))))))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))) (*.f64 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))))))))))
(exp.f64 a)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #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 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(pow.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
#s(literal 1 binary64)
Calls

5 calls:

11.0ms
a
10.0ms
b
9.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
8.0ms
(exp.f64 b)
8.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
99.2%2a
97.6%1b
99.6%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
99.2%2(exp.f64 a)
97.6%1(exp.f64 b)
Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes44.0ms (0.4%)

Counts
35 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 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 1/48 binary64) (*.f64 b (*.f64 b b)))
(/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 b (*.f64 b #s(literal 1/48 binary64))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (*.f64 b (*.f64 b #s(literal 1/6 binary64))))))
(/.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 (+.f64 (/.f64 #s(literal -18 binary64) b) #s(literal 6 binary64)) (*.f64 b (*.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 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 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 #s(literal -1/6 binary64) b)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 b b) #s(literal 1/36 binary64))))) (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 b #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 (*.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 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (*.f64 (+.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))))))) 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 #s(literal 2 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 #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 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 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))) (*.f64 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 1 binary64) (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))) (*.f64 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 #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 8 binary64) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64)))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 b #s(literal 1/6 binary64)) (*.f64 b b)) (-.f64 (*.f64 (*.f64 b #s(literal 1/6 binary64)) (*.f64 b b)) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))) (*.f64 b (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))) b) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))) (-.f64 (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))) #s(literal 1 binary64)))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (/.f64 #s(literal 1 binary64) (/.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 (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))) (*.f64 b (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))))) (+.f64 #s(literal 4 binary64) (*.f64 (*.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 #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))))) (+.f64 #s(literal 4 binary64) (*.f64 (*.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)))))) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 (*.f64 (*.f64 b (+.f64 b (*.f64 b (*.f64 (*.f64 b (+.f64 (*.f64 b #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 b (+.f64 (*.f64 b #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))) (*.f64 b (-.f64 b (*.f64 b (*.f64 (*.f64 b (+.f64 (*.f64 b #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 b (+.f64 (*.f64 b #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))) (*.f64 b (+.f64 b (*.f64 b (*.f64 (*.f64 b (+.f64 (*.f64 b #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 b (+.f64 (*.f64 b #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))) (-.f64 b (*.f64 b (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 b (*.f64 (+.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 b (*.f64 (+.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)))))))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))) (*.f64 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))))))))))
(exp.f64 a)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #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)))
Outputs
(exp.f64 a)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
Calls

4 calls:

11.0ms
a
10.0ms
b
8.0ms
(exp.f64 a)
8.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
98.2%3b
98.2%3(exp.f64 b)
98.1%2a
98.1%2(exp.f64 a)
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes30.0ms (0.3%)

Counts
31 → 4
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 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 1/48 binary64) (*.f64 b (*.f64 b b)))
(/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 b (*.f64 b #s(literal 1/48 binary64))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (*.f64 b (*.f64 b #s(literal 1/6 binary64))))))
(/.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 (+.f64 (/.f64 #s(literal -18 binary64) b) #s(literal 6 binary64)) (*.f64 b (*.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 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 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 #s(literal -1/6 binary64) b)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 b b) #s(literal 1/36 binary64))))) (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 b #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 (*.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 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (*.f64 (+.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))))))) 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 #s(literal 2 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 #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 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 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))) (*.f64 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 1 binary64) (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))) (*.f64 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 #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 8 binary64) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64)))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 b #s(literal 1/6 binary64)) (*.f64 b b)) (-.f64 (*.f64 (*.f64 b #s(literal 1/6 binary64)) (*.f64 b b)) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))) (*.f64 b (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))) b) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))) (-.f64 (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))) #s(literal 1 binary64)))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (/.f64 #s(literal 1 binary64) (/.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 (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))) (*.f64 b (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))))) (+.f64 #s(literal 4 binary64) (*.f64 (*.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 #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))))) (+.f64 #s(literal 4 binary64) (*.f64 (*.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)))))) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 (*.f64 (*.f64 b (+.f64 b (*.f64 b (*.f64 (*.f64 b (+.f64 (*.f64 b #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 b (+.f64 (*.f64 b #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))) (*.f64 b (-.f64 b (*.f64 b (*.f64 (*.f64 b (+.f64 (*.f64 b #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 b (+.f64 (*.f64 b #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))) (*.f64 b (+.f64 b (*.f64 b (*.f64 (*.f64 b (+.f64 (*.f64 b #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 b (+.f64 (*.f64 b #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))) (-.f64 b (*.f64 b (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 b (*.f64 (+.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 b (*.f64 (+.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)))))))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))) (*.f64 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))))))))))
(exp.f64 a)
Outputs
#s(literal 1 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))))) (+.f64 #s(literal 4 binary64) (*.f64 (*.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 #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 b b) #s(literal 1/36 binary64))))) (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 b #s(literal 1/6 binary64)) (*.f64 b b))))
(/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))
Calls

3 calls:

9.0ms
a
9.0ms
b
8.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
78.5%4b
73.8%2(exp.f64 a)
74.6%2a
Compiler

Compiled 10 to 7 computations (30% saved)

regimes11.0ms (0.1%)

Counts
25 → 3
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 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 1/48 binary64) (*.f64 b (*.f64 b b)))
(/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 b (*.f64 b #s(literal 1/48 binary64))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (*.f64 b (*.f64 b #s(literal 1/6 binary64))))))
(/.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 (+.f64 (/.f64 #s(literal -18 binary64) b) #s(literal 6 binary64)) (*.f64 b (*.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 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 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 #s(literal -1/6 binary64) b)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 b b) #s(literal 1/36 binary64))))) (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 b #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 (*.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 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (*.f64 (+.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))))))) 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 #s(literal 2 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 #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 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 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))) (*.f64 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 1 binary64) (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))) (*.f64 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 #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 8 binary64) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64)))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 b #s(literal 1/6 binary64)) (*.f64 b b)) (-.f64 (*.f64 (*.f64 b #s(literal 1/6 binary64)) (*.f64 b b)) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))) (*.f64 b (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))) b) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))) (-.f64 (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))) #s(literal 1 binary64)))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (/.f64 #s(literal 1 binary64) (/.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 (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))) (*.f64 b (*.f64 (+.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)))))))))))))
Outputs
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 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 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))
Calls

1 calls:

9.0ms
b
Results
AccuracySegmentsBranch
76.6%3b
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts
19 → 3
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 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 1/48 binary64) (*.f64 b (*.f64 b b)))
(/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 b (*.f64 b #s(literal 1/48 binary64))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (*.f64 b (*.f64 b #s(literal 1/6 binary64))))))
(/.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 (+.f64 (/.f64 #s(literal -18 binary64) b) #s(literal 6 binary64)) (*.f64 b (*.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 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 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 #s(literal -1/6 binary64) b)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 b b) #s(literal 1/36 binary64))))) (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 b #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 (*.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 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (*.f64 (+.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))))))) 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 #s(literal 2 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 #s(literal 1/2 binary64)))))))
Outputs
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 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 #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))
Calls

1 calls:

6.0ms
b
Results
AccuracySegmentsBranch
76.5%3b
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts
18 → 3
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 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 1/48 binary64) (*.f64 b (*.f64 b b)))
(/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 b (*.f64 b #s(literal 1/48 binary64))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (*.f64 b (*.f64 b #s(literal 1/6 binary64))))))
(/.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 (+.f64 (/.f64 #s(literal -18 binary64) b) #s(literal 6 binary64)) (*.f64 b (*.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 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 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 #s(literal -1/6 binary64) b)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 b b) #s(literal 1/36 binary64))))) (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 b #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 (*.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 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (*.f64 (+.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))))))) b) (-.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
Outputs
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (*.f64 (+.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))))))) b) (-.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
(/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))
Calls

1 calls:

5.0ms
b
Results
AccuracySegmentsBranch
76.2%3b
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes14.0ms (0.1%)

Counts
17 → 3
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 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 1/48 binary64) (*.f64 b (*.f64 b b)))
(/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 b (*.f64 b #s(literal 1/48 binary64))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (*.f64 b (*.f64 b #s(literal 1/6 binary64))))))
(/.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 (+.f64 (/.f64 #s(literal -18 binary64) b) #s(literal 6 binary64)) (*.f64 b (*.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 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 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 #s(literal -1/6 binary64) b)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 b b) #s(literal 1/36 binary64))))) (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 b #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 (*.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)))))))))
Outputs
#s(literal 1 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 b b) #s(literal 1/36 binary64))))) (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 b #s(literal 1/6 binary64)) (*.f64 b b))))
(/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))
Calls

2 calls:

7.0ms
b
5.0ms
a
Results
AccuracySegmentsBranch
62.2%3a
76.0%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)
#s(literal 1 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 1/48 binary64) (*.f64 b (*.f64 b b)))
(/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 b (*.f64 b #s(literal 1/48 binary64))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (*.f64 b (*.f64 b #s(literal 1/6 binary64))))))
(/.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 (+.f64 (/.f64 #s(literal -18 binary64) b) #s(literal 6 binary64)) (*.f64 b (*.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 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 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 #s(literal -1/6 binary64) b)))))))
Outputs
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
Calls

1 calls:

5.0ms
b
Results
AccuracySegmentsBranch
74.4%2b
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts
13 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 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 1/48 binary64) (*.f64 b (*.f64 b b)))
(/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 b (*.f64 b #s(literal 1/48 binary64))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (*.f64 b (*.f64 b #s(literal 1/6 binary64))))))
(/.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 (+.f64 (/.f64 #s(literal -18 binary64) b) #s(literal 6 binary64)) (*.f64 b (*.f64 b b)))
Outputs
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (*.f64 b (*.f64 b #s(literal 1/6 binary64))))))
Calls

1 calls:

5.0ms
b
Results
AccuracySegmentsBranch
73.9%2b
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Counts
9 → 3
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 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 1/48 binary64) (*.f64 b (*.f64 b b)))
(/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 b (*.f64 b #s(literal 1/48 binary64))))))
Outputs
#s(literal 1 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 b (*.f64 b #s(literal 1/48 binary64))))))
(/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))
Calls

1 calls:

3.0ms
b
Results
AccuracySegmentsBranch
74.4%3b
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Counts
8 → 3
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 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 1/48 binary64) (*.f64 b (*.f64 b b)))
(/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))
Outputs
#s(literal 1 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64)))
(/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))
Calls

1 calls:

3.0ms
b
Results
AccuracySegmentsBranch
74.4%3b
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts
7 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 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 1/48 binary64) (*.f64 b (*.f64 b b)))
Outputs
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
Calls

2 calls:

3.0ms
b
3.0ms
a
Results
AccuracySegmentsBranch
52.4%3a
56.6%2b
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

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

1 calls:

2.0ms
b
Results
AccuracySegmentsBranch
55.8%2b
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes2.0ms (0%)

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

1 calls:

2.0ms
b
Results
AccuracySegmentsBranch
55.5%2b
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

2.0ms
b
1.0ms
a
Results
AccuracySegmentsBranch
39.0%1a
39.0%1b
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch1.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.9999734983398896
1.0
Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch9.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
8.0ms
-7207621.238852118
-639395.0803471428
Results
5.0ms96×0valid
Compiler

Compiled 99 to 76 computations (23.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-div: 1.0ms (37.3% of total)
ival-exp: 1.0ms (37.3% of total)
ival-add: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch24.0ms (0.2%)

Algorithm
3×binary-search
Stop Event
1×predicate-same
1×predicate-same
1×narrow-enough
Steps
TimeLeftRight
7.0ms
1.1243750334581231e+101
1.1282655329778564e+109
1.0ms
2.8584525588062616e+45
2.2206763428951656e+58
14.0ms
-13207.961431307
-8.0573282694823e-5
Results
13.0ms240×0valid
Compiler

Compiled 941 to 455 computations (51.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-exp: 3.0ms (46.5% of total)
ival-div: 2.0ms (31% of total)
ival-add: 1.0ms (15.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch24.0ms (0.2%)

Algorithm
2×binary-search
Stop Event
1×predicate-same
1×narrow-enough
Steps
TimeLeftRight
7.0ms
1.1243750334581231e+101
1.1282655329778564e+109
16.0ms
-13207.961431307
-8.0573282694823e-5
Results
12.0ms224×0valid
Compiler

Compiled 689 to 333 computations (51.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-exp: 3.0ms (49.2% of total)
ival-div: 1.0ms (16.4% of total)
ival-add: 1.0ms (16.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch17.0ms (0.2%)

Algorithm
2×binary-search
Stop Event
1×predicate-same
1×narrow-enough
Steps
TimeLeftRight
1.0ms
1.1243750334581231e+101
1.1282655329778564e+109
14.0ms
-13207.961431307
-8.0573282694823e-5
Results
10.0ms160×0valid
Compiler

Compiled 441 to 253 computations (42.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-exp: 3.0ms (64.6% of total)
ival-div: 1.0ms (21.5% of total)
ival-add: 1.0ms (21.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch17.0ms (0.2%)

Algorithm
2×binary-search
Stop Event
1×predicate-same
1×narrow-enough
Steps
TimeLeftRight
1.0ms
1.1243750334581231e+101
1.1282655329778564e+109
14.0ms
-13207.961431307
-8.0573282694823e-5
Results
10.0ms160×0valid
Compiler

Compiled 421 to 233 computations (44.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-exp: 3.0ms (53.5% of total)
ival-div: 1.0ms (17.8% of total)
ival-add: 1.0ms (17.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch22.0ms (0.2%)

Algorithm
2×binary-search
Stop Event
1×predicate-same
1×narrow-enough
Steps
TimeLeftRight
7.0ms
1.1243750334581231e+101
1.1282655329778564e+109
14.0ms
-13207.961431307
-8.0573282694823e-5
Results
13.0ms224×0valid
Compiler

Compiled 521 to 347 computations (33.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-exp: 4.0ms (55.9% of total)
ival-div: 1.0ms (14% of total)
ival-add: 1.0ms (14% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch14.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
13.0ms
-13207.961431307
-8.0573282694823e-5
Results
8.0ms144×0valid
Compiler

Compiled 213 to 172 computations (19.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-exp: 2.0ms (49% of total)
ival-div: 1.0ms (24.5% of total)
ival-add: 1.0ms (24.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch15.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
14.0ms
-13207.961431307
-8.0573282694823e-5
Results
9.0ms144×0valid
Compiler

Compiled 177 to 145 computations (18.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-exp: 4.0ms (70.6% of total)
ival-div: 1.0ms (17.6% of total)
ival-add: 1.0ms (17.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch28.0ms (0.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
14.0ms
0.00015374733634612088
31.50397718937551
13.0ms
-13207.961431307
-8.0573282694823e-5
Results
17.0ms288×0valid
Compiler

Compiled 393 to 307 computations (21.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-exp: 6.0ms (64.5% of total)
ival-div: 2.0ms (21.5% of total)
ival-add: 2.0ms (21.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch29.0ms (0.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
14.0ms
0.00015374733634612088
31.50397718937551
12.0ms
-13207.961431307
-8.0573282694823e-5
Results
16.0ms288×0valid
Compiler

Compiled 285 to 235 computations (17.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-exp: 4.0ms (48.7% of total)
ival-div: 2.0ms (24.3% of total)
ival-add: 2.0ms (24.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch14.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
13.0ms
-13207.961431307
-8.0573282694823e-5
Results
8.0ms144×0valid
Compiler

Compiled 123 to 109 computations (11.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-exp: 2.0ms (47.5% of total)
ival-div: 1.0ms (23.7% of total)
ival-add: 1.0ms (23.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch15.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
14.0ms
-13207.961431307
-8.0573282694823e-5
Results
9.0ms144×0valid
Compiler

Compiled 123 to 109 computations (11.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-exp: 2.0ms (46.5% of total)
ival-div: 1.0ms (23.2% of total)
ival-add: 1.0ms (23.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch14.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
12.0ms
-13207.961431307
-8.0573282694823e-5
Results
8.0ms144×0valid
Compiler

Compiled 87 to 82 computations (5.7% saved)

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

simplify24.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
96×*-commutative_binary64
92×+-commutative_binary64
58×sub-neg_binary64
52×distribute-lft-neg-in_binary64
52×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0137462
1218461
2289460
3349460
4381460
5393460
6395460
Stop Event
1×saturated
Calls
Call 1
Inputs
(exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64)) a))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1 binary64))
(if (<=.f64 a #s(literal -700000 binary64)) (exp.f64 a) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(if (<=.f64 b #s(literal -5/4 binary64)) #s(literal 1 binary64) (if (<=.f64 b #s(literal 4999999999999999965699095179735106473829597184 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))))) (+.f64 #s(literal 4 binary64) (*.f64 (*.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 #s(literal 1/2 binary64)))) #s(literal 2 binary64))))) (if (<=.f64 b #s(literal 5000000000000000009578375428673343681079775636325960055764017572996896621019943779806180725540901617664 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 b b) #s(literal 1/36 binary64))))) (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 b #s(literal 1/6 binary64)) (*.f64 b b)))) (/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b))))))
(if (<=.f64 b #s(literal -1080863910568919/1125899906842624 binary64)) #s(literal 1 binary64) (if (<=.f64 b #s(literal 5000000000000000009578375428673343681079775636325960055764017572996896621019943779806180725540901617664 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 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 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))))
(if (<=.f64 b #s(literal -3039929748475085/2251799813685248 binary64)) #s(literal 1 binary64) (if (<=.f64 b #s(literal 199999999999999995409902653049067325689368543984830001225999194946398690436157982260652258896302309376 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 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 #s(literal 1/2 binary64))))))) (/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))))
(if (<=.f64 b #s(literal -3602879701896397/2251799813685248 binary64)) #s(literal 1 binary64) (if (<=.f64 b #s(literal 199999999999999995409902653049067325689368543984830001225999194946398690436157982260652258896302309376 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (*.f64 (+.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))))))) b) (-.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))) (/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))))
(if (<=.f64 b #s(literal -3/2 binary64)) #s(literal 1 binary64) (if (<=.f64 b #s(literal 5000000000000000009578375428673343681079775636325960055764017572996896621019943779806180725540901617664 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 b b) #s(literal 1/36 binary64))))) (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 b #s(literal 1/6 binary64)) (*.f64 b b)))) (/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))))
(if (<=.f64 b #s(literal -3602879701896397/2251799813685248 binary64)) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))))
(if (<=.f64 b #s(literal -8106479329266893/4503599627370496 binary64)) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (*.f64 b (*.f64 b #s(literal 1/6 binary64)))))))
(if (<=.f64 b #s(literal -8106479329266893/4503599627370496 binary64)) #s(literal 1 binary64) (if (<=.f64 b #s(literal 6417629469002957/2251799813685248 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 b (*.f64 b #s(literal 1/48 binary64)))))) (/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))))
(if (<=.f64 b #s(literal -1080863910568919/1125899906842624 binary64)) #s(literal 1 binary64) (if (<=.f64 b #s(literal 4278419646001971/2251799813685248 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64))) (/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))))
(if (<=.f64 b #s(literal -1 binary64)) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64))))
(if (<=.f64 b #s(literal -2 binary64)) #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64))))
(if (<=.f64 b #s(literal -1261007895663739/2251799813685248 binary64)) #s(literal 1 binary64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
Outputs
(exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64)) a))
(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1 binary64))
(if (<=.f64 a #s(literal -700000 binary64)) (exp.f64 a) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(if (<=.f64 a #s(literal -700000 binary64)) (exp.f64 a) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
(if (<=.f64 b #s(literal -5/4 binary64)) #s(literal 1 binary64) (if (<=.f64 b #s(literal 4999999999999999965699095179735106473829597184 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))))) (+.f64 #s(literal 4 binary64) (*.f64 (*.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 #s(literal 1/2 binary64)))) #s(literal 2 binary64))))) (if (<=.f64 b #s(literal 5000000000000000009578375428673343681079775636325960055764017572996896621019943779806180725540901617664 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 b b) #s(literal 1/36 binary64))))) (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 b #s(literal 1/6 binary64)) (*.f64 b b)))) (/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b))))))
(if (<=.f64 b #s(literal -1080863910568919/1125899906842624 binary64)) #s(literal 1 binary64) (if (<=.f64 b #s(literal 5000000000000000009578375428673343681079775636325960055764017572996896621019943779806180725540901617664 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 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 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))))
(if (<=.f64 b #s(literal -3039929748475085/2251799813685248 binary64)) #s(literal 1 binary64) (if (<=.f64 b #s(literal 199999999999999995409902653049067325689368543984830001225999194946398690436157982260652258896302309376 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 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 #s(literal 1/2 binary64))))))) (/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))))
(if (<=.f64 b #s(literal -3602879701896397/2251799813685248 binary64)) #s(literal 1 binary64) (if (<=.f64 b #s(literal 199999999999999995409902653049067325689368543984830001225999194946398690436157982260652258896302309376 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (*.f64 (+.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))))))) b) (-.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))) (/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))))
(if (<=.f64 b #s(literal -3602879701896397/2251799813685248 binary64)) #s(literal 1 binary64) (if (<=.f64 b #s(literal 199999999999999995409902653049067325689368543984830001225999194946398690436157982260652258896302309376 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 b (-.f64 #s(literal 1 binary64) (*.f64 b (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))) (-.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))) (/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))))
(if (<=.f64 b #s(literal -3/2 binary64)) #s(literal 1 binary64) (if (<=.f64 b #s(literal 5000000000000000009578375428673343681079775636325960055764017572996896621019943779806180725540901617664 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 b b) #s(literal 1/36 binary64))))) (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 b #s(literal 1/6 binary64)) (*.f64 b b)))) (/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))))
(if (<=.f64 b #s(literal -3602879701896397/2251799813685248 binary64)) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))))
(if (<=.f64 b #s(literal -3602879701896397/2251799813685248 binary64)) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) #s(literal 2 binary64))))
(if (<=.f64 b #s(literal -8106479329266893/4503599627370496 binary64)) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (*.f64 b (*.f64 b #s(literal 1/6 binary64)))))))
(if (<=.f64 b #s(literal -8106479329266893/4503599627370496 binary64)) #s(literal 1 binary64) (if (<=.f64 b #s(literal 6417629469002957/2251799813685248 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 b (*.f64 b #s(literal 1/48 binary64)))))) (/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))))
(if (<=.f64 b #s(literal -1080863910568919/1125899906842624 binary64)) #s(literal 1 binary64) (if (<=.f64 b #s(literal 4278419646001971/2251799813685248 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64))) (/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))))
(if (<=.f64 b #s(literal -1 binary64)) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64))))
(if (<=.f64 b #s(literal -2 binary64)) #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64))))
(if (<=.f64 b #s(literal -1261007895663739/2251799813685248 binary64)) #s(literal 1 binary64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)

soundness2.5s (25.1%)

Rules
5398×+-lowering-+.f64
5398×+-lowering-+.f32
5094×*-lowering-*.f32
5094×*-lowering-*.f64
4204×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08628620
128998403
084488403
01641349
15031274
215531211
355261164
088551164
0120714
1360669
21225655
35177650
08588650
025157
1165145
21554141
08733141
0617
12817
221517
3214717
0858317
049360
1343195
23119191
08085191
026118
1170102
21421101
08166101
04644927
114854556
252264430
086334430
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 1413 to 843 computations (40.3% saved)

preprocess96.0ms (0.9%)

Compiler

Compiled 964 to 298 computations (69.1% saved)

end0.0ms (0%)

Profiling

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