Quotient of sum of exps

Time bar (total: 8.2s)

analyze14.0ms (0.2%)

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: 3.0ms
ival-exp: 1.0ms (39.8% of total)
ival-add: 1.0ms (39.8% of total)
ival-div: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample1.0s (12.5%)

Results
523.0ms8256×0valid
232.0ms2985×0unsamplable
Precisions
Click to see histograms. Total time spent on operations: 320.0ms
ival-exp: 143.0ms (44.7% of total)
ival-div: 91.0ms (28.4% of total)
ival-add: 73.0ms (22.8% of total)
const: 9.0ms (2.8% of total)
backward-pass: 4.0ms (1.2% of total)
Bogosity

preprocess135.0ms (1.6%)

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))))

explain75.0ms (0.9%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
30-0-(/.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
51.0ms512×0valid
Compiler

Compiled 54 to 20 computations (63% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-exp: 7.0ms (47.3% of total)
ival-div: 4.0ms (27% of total)
ival-add: 4.0ms (27% 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
▶98.8%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 10 to 6 computations (40% saved)

simplify6.0ms (0.1%)

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

localize30.0ms (0.4%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(exp.f64 b)
✓accuracy100.0%
(exp.f64 a)
✓accuracy100.0%
(+.f64 (exp.f64 a) (exp.f64 b))
✓accuracy98.8%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Results
23.0ms256×0valid
Compiler

Compiled 22 to 7 computations (68.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-exp: 3.0ms (42.1% of total)
ival-div: 2.0ms (28.1% of total)
ival-add: 1.0ms (14% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series7.0ms (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)))

rewrite286.0ms (3.5%)

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
221717
3215917
0866017
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 a #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))))))
(/.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))) (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 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 a #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b)))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (exp.f64 (*.f64 a #s(literal 6 binary64))) (exp.f64 (*.f64 b #s(literal 6 binary64)))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 4 binary64))) (+.f64 (exp.f64 (*.f64 b #s(literal 4 binary64))) (exp.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64))))) (-.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (exp.f64 (*.f64 a #s(literal 4 binary64))) (exp.f64 (*.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64)))) (-.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 3 binary64)) (/.f64 (exp.f64 (*.f64 b #s(literal 6 binary64))) (pow.f64 (-.f64 (exp.f64 a) (exp.f64 b)) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (*.f64 (/.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 a) (exp.f64 b))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (pow.f64 (/.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 a) (exp.f64 b))))))
(/.f64 (neg.f64 (*.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 9 binary64))) (exp.f64 (*.f64 b #s(literal 9 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))))))) (neg.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 6 binary64))) (-.f64 (exp.f64 (*.f64 b #s(literal 6 binary64))) (exp.f64 (*.f64 (+.f64 a b) #s(literal 3 binary64)))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (exp.f64 (*.f64 a #s(literal 6 binary64))) (exp.f64 (*.f64 b #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))))))) (neg.f64 (-.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (exp.f64 (*.f64 a #s(literal 6 binary64))) (exp.f64 (*.f64 b #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))))) (neg.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 4 binary64))) (+.f64 (exp.f64 (*.f64 b #s(literal 4 binary64))) (exp.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (exp.f64 (*.f64 a #s(literal 4 binary64))) (exp.f64 (*.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))))) (neg.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64))))))
(pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (*.f64 a #s(literal 2 binary64))))) #s(literal -1 binary64))
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal 1 binary64))
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (*.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))))))
(*.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))))) #s(literal 1 binary64)))
(*.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b)))) (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (+.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))))))
(*.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b)))) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b)))))))
(*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))
(*.f64 (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (exp.f64 b)))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b)))))))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))) (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64))))) #s(literal -1 binary64)))
(*.f64 (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) (exp.f64 a))))
(*.f64 (/.f64 (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64)))) (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64))))) (+.f64 (exp.f64 a) (exp.f64 b)))
(*.f64 (/.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a #s(literal 6 binary64))) (pow.f64 (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))) #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a #s(literal 4 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))) (-.f64 (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 2 binary64)))))))
(*.f64 (/.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (-.f64 (exp.f64 (*.f64 a #s(literal 4 binary64))) (pow.f64 (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))) #s(literal 2 binary64)))) (+.f64 (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64)))) (exp.f64 (+.f64 a b))))
(*.f64 (/.f64 (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64)))) (-.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (+.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64)))) (exp.f64 (+.f64 a b))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b)))))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64))))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (exp.f64 (*.f64 a #s(literal 6 binary64))) (exp.f64 (*.f64 b #s(literal 6 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a #s(literal 4 binary64))) (+.f64 (exp.f64 (*.f64 b #s(literal 4 binary64))) (exp.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)))))))
(*.f64 (pow.f64 (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (exp.f64 (*.f64 a #s(literal 4 binary64))) (exp.f64 (*.f64 b #s(literal 4 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64))))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b)))))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (*.f64 a #s(literal 2 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) (exp.f64 a))))
(*.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b)))) (+.f64 (exp.f64 (*.f64 a #s(literal 9 binary64))) (exp.f64 (*.f64 b #s(literal 9 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a #s(literal 6 binary64))) (-.f64 (exp.f64 (*.f64 b #s(literal 6 binary64))) (exp.f64 (*.f64 (+.f64 a b) #s(literal 3 binary64)))))))
(*.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b)))) (-.f64 (exp.f64 (*.f64 a #s(literal 6 binary64))) (exp.f64 (*.f64 b #s(literal 6 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))))
(exp.f64 b)
(exp.f64 (*.f64 b #s(literal 1 binary64)))
(pow.f64 (exp.f64 b) #s(literal 1 binary64))

simplify255.0ms (3.1%)

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
1360655
21227637
35176633
08594633
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 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (*.f64 a (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal -3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))))))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (*.f64 a (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (*.f64 a (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 (*.f64 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 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 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 (/.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))))))))))
(/ (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))) (neg.f64 (*.f64 (+.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (*.f64 b (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64))))) b)))
(+ (* 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 (exp.f64 a) (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
1
#s(literal 1 binary64)
(+ 1 b)
(+.f64 #s(literal 1 binary64) b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)

eval39.0ms (0.5%)

Compiler

Compiled 9352 to 1016 computations (89.1% saved)

prune88.0ms (1.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New3694373
Fresh000
Picked101
Done000
Total3704374
Accuracy
100.0%
Counts
374 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.3%
(pow.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
▶68.3%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
▶98.8%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))
▶81.8%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
Compiler

Compiled 43 to 30 computations (30.2% saved)

simplify30.0ms (0.4%)

Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(exp.f64 a)
✓cost-diff64
(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1/2 binary64))
✓cost-diff12672
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
✓cost-diff12864
(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 (exp.f64 a) #s(literal 1 binary64))
✓cost-diff0
(exp.f64 a)
✓cost-diff6272
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
✓cost-diff0
(exp.f64 a)
✓cost-diff0
(+.f64 (exp.f64 a) (exp.f64 b))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))
✓cost-diff12800
(/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))
✓cost-diff0
(exp.f64 b)
✓cost-diff0
(+.f64 #s(literal 1 binary64) (exp.f64 b))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
Rules
138×*-lowering-*.f32
138×*-lowering-*.f64
112×fma-lowering-fma.f32
112×fma-lowering-fma.f64
112×fnmadd-define
Iterations

Useful iterations: 13 (0.0ms)

IterNodesCost
01797
12897
23594
33994
46094
57394
67894
78294
89094
99994
1012693
1117488
1221188
1330087
1439387
1548487
1657787
1763887
1865187
065187
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ 1 (+ 1 (exp b)))
1
(+ 1 (exp b))
(exp b)
b
(/ 1 (/ (+ (exp a) (exp b)) (exp a)))
1
(/ (+ (exp a) (exp b)) (exp a))
(+ (exp a) (exp b))
(exp a)
a
(exp b)
b
(/ (exp a) (+ (exp a) 1))
(exp a)
a
(+ (exp a) 1)
1
(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
(/ 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
(/ 1 (/ (+ (exp a) (exp b)) (exp a)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
1
#s(literal 1 binary64)
(/ (+ (exp a) (exp b)) (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(exp a)
(exp.f64 a)
a
(exp b)
(exp.f64 b)
b
(/ (exp a) (+ (exp a) 1))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 a))))
(exp a)
(exp.f64 a)
a
(+ (exp a) 1)
(+.f64 #s(literal 1 binary64) (exp.f64 a))
1
#s(literal 1 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 b a))))
(pow (/ (exp a) (+ (exp a) (exp b))) 1/2)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(exp a)
(exp.f64 a)
a
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(exp b)
(exp.f64 b)
b
1/2
#s(literal 1/2 binary64)
2
#s(literal 2 binary64)

localize278.0ms (3.4%)

Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(exp.f64 a)
✓accuracy100.0%
(+.f64 (exp.f64 a) (exp.f64 b))
✓accuracy99.6%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
✓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))
✓accuracy100.0%
(exp.f64 a)
✓accuracy100.0%
(+.f64 (exp.f64 a) #s(literal 1 binary64))
✓accuracy99.6%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
✓accuracy100.0%
(exp.f64 a)
✓accuracy100.0%
(+.f64 (exp.f64 a) (exp.f64 b))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))
✓accuracy99.7%
(/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))
✓accuracy100.0%
(exp.f64 b)
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (exp.f64 b))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
Results
133.0ms70×5exit
99.0ms186×0valid
Compiler

Compiled 105 to 18 computations (82.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 81.0ms
ival-pow: 28.0ms (34.6% of total)
backward-pass: 21.0ms (25.9% of total)
ival-div: 16.0ms (19.7% of total)
ival-add: 8.0ms (9.9% of total)
ival-exp: 7.0ms (8.6% of total)
const: 1.0ms (1.2% of total)

series22.0ms (0.3%)

Counts
12 → 216
Calls
Call 1
Inputs
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (+ 1 (exp b))>
#<alt (exp b)>
#<alt (/ (+ (exp a) (exp b)) (exp a))>
#<alt (/ 1 (/ (+ (exp a) (exp b)) (exp a)))>
#<alt (+ (exp a) (exp b))>
#<alt (exp a)>
#<alt (/ (exp a) (+ (exp a) 1))>
#<alt (+ (exp a) 1)>
#<alt (pow (pow (/ (exp a) (+ (exp a) (exp b))) 1/2) 2)>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (pow (/ (exp a) (+ (exp a) (exp b))) 1/2)>
Outputs
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 b))>
#<alt (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))>
#<alt (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt 2>
#<alt (+ 2 b)>
#<alt (+ 2 (* b (+ 1 (* 1/2 b))))>
#<alt (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt 1>
#<alt (+ 1 b)>
#<alt (+ 1 (* b (+ 1 (* 1/2 b))))>
#<alt (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (+ (exp b) (* -1 (* a (exp b)))))>
#<alt (+ 1 (+ (exp b) (* a (- (* a (- 1/2 (+ (* -1 (exp b)) (* 1/2 (+ 1 (exp b)))))) (exp b)))))>
#<alt (+ 1 (+ (exp b) (* a (- (* a (- (+ 1/2 (* a (- (+ (* -1 (exp b)) (* 1/2 (+ 1 (exp b)))) (+ 1/3 (+ (* -1/2 (exp b)) (* 1/6 (+ 1 (exp b)))))))) (+ (* -1 (exp b)) (* 1/2 (+ 1 (exp b)))))) (exp b)))))>
#<alt (/ (+ (exp a) (exp b)) (exp a))>
#<alt (/ (+ (exp a) (exp b)) (exp a))>
#<alt (/ (+ (exp a) (exp b)) (exp a))>
#<alt (/ (+ (exp a) (exp b)) (exp a))>
#<alt (/ (+ (exp a) (exp b)) (exp a))>
#<alt (/ (+ (exp a) (exp b)) (exp a))>
#<alt (/ (+ (exp a) (exp b)) (exp a))>
#<alt (/ (+ (exp a) (exp b)) (exp a))>
#<alt (/ (+ 1 (exp a)) (exp a))>
#<alt (+ 1 (+ (/ 1 (exp a)) (/ b (exp a))))>
#<alt (+ 1 (+ (* b (+ (* 1/2 (/ b (exp a))) (/ 1 (exp a)))) (/ 1 (exp a))))>
#<alt (+ 1 (+ (* b (+ (* b (+ (* 1/6 (/ b (exp a))) (* 1/2 (/ 1 (exp a))))) (/ 1 (exp a)))) (/ 1 (exp a))))>
#<alt (/ (+ (exp a) (exp b)) (exp a))>
#<alt (/ (+ (exp a) (exp b)) (exp a))>
#<alt (/ (+ (exp a) (exp b)) (exp a))>
#<alt (/ (+ (exp a) (exp b)) (exp a))>
#<alt (/ (+ (exp a) (exp b)) (exp a))>
#<alt (/ (+ (exp a) (exp b)) (exp a))>
#<alt (/ (+ (exp a) (exp b)) (exp a))>
#<alt (/ (+ (exp a) (exp b)) (exp a))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))>
#<alt (+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))>
#<alt (+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (+ 1 (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 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 1/2>
#<alt (+ 1/2 (* 1/4 a))>
#<alt (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))>
#<alt (+ 1/2 (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))))>
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt 2>
#<alt (+ 2 a)>
#<alt (+ 2 (* a (+ 1 (* 1/2 a))))>
#<alt (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))>
#<alt (+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))>
#<alt (+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (+ (* 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))))>
Calls

54 calls:

TimeVariablePointExpression
7.0ms
b
@0
(pow (/ (exp a) (+ (exp a) (exp b))) 1/2)
2.0ms
a
@inf
(pow (/ (exp a) (+ (exp a) (exp b))) 1/2)
1.0ms
a
@0
(pow (/ (exp a) (+ (exp a) (exp b))) 1/2)
1.0ms
b
@inf
(/ 1 (+ 1 (exp b)))
1.0ms
b
@inf
(pow (/ (exp a) (+ (exp a) (exp b))) 1/2)

rewrite375.0ms (4.6%)

Algorithm
1×batch-egg-rewrite
Rules
3602×*-lowering-*.f32
3602×*-lowering-*.f64
3146×/-lowering-/.f32
3146×/-lowering-/.f64
1376×sum5-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01770
110270
272760
3699260
0851360
Stop Event
1×iter limit
1×node limit
Counts
12 → 996
Calls
Call 1
Inputs
(/ 1 (+ 1 (exp b)))
(+ 1 (exp b))
(exp b)
(/ (+ (exp a) (exp b)) (exp a))
(/ 1 (/ (+ (exp a) (exp b)) (exp a)))
(+ (exp a) (exp b))
(exp a)
(/ (exp a) (+ (exp a) 1))
(+ (exp a) 1)
(pow (pow (/ (exp a) (+ (exp a) (exp b))) 1/2) 2)
(/ (exp a) (+ (exp a) (exp b)))
(pow (/ (exp a) (+ (exp a) (exp b))) 1/2)
Outputs
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (*.f64 (*.f64 (exp.f64 b) (expm1.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64)))))))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (-.f64 #s(literal 0 binary64) (exp.f64 b)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) b))))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64))))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (*.f64 (exp.f64 b) (expm1.f64 b))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (*.f64 (exp.f64 b) (expm1.f64 b))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64))))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) b)))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 0 binary64) (exp.f64 b))))
(+.f64 (*.f64 (*.f64 (exp.f64 b) (expm1.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64))))))
(exp.f64 (*.f64 #s(literal -1 binary64) (log1p.f64 (exp.f64 b))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 b))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) b)))) (/.f64 (exp.f64 b) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) b)))))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) b))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (/.f64 (exp.f64 b) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64))))))
(neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 b)))
(/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) b)) (expm1.f64 b)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) b))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) b))) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) b))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) b)) (expm1.f64 b))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64))))))
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(exp.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))))
(exp.f64 (*.f64 (-.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) a) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)) #s(literal -2 binary64))) #s(literal 1/4 binary64)))
(fabs.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))))
(sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a))))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)))))
(/.f64 (exp.f64 (*.f64 a #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(/.f64 (pow.f64 (+.f64 (exp.f64 b) (exp.f64 a)) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (exp.f64 a))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (/.f64 #s(literal -1 binary64) (exp.f64 a)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a))) (sqrt.f64 (-.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (exp.f64 b))))
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (/.f64 #s(literal -1 binary64) (exp.f64 a)))))
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)))) (sqrt.f64 (-.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (exp.f64 b))))
(/.f64 (neg.f64 (exp.f64 (*.f64 a #s(literal 1/2 binary64)))) (neg.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(/.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (*.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (/.f64 #s(literal -1 binary64) (exp.f64 a))))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)))) (neg.f64 (sqrt.f64 (-.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (exp.f64 b)))))
(pow.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)) #s(literal -2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)) (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a))) #s(literal -1/4 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))))
(*.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)) #s(literal -1/4 binary64)) (pow.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)) #s(literal -1/4 binary64)))
(*.f64 (exp.f64 (*.f64 a #s(literal 1/4 binary64))) (*.f64 (pow.f64 (+.f64 (exp.f64 b) (exp.f64 a)) #s(literal -1/4 binary64)) (pow.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)) #s(literal -1/4 binary64))))
(*.f64 (pow.f64 (+.f64 (exp.f64 b) (exp.f64 a)) #s(literal -1/4 binary64)) (*.f64 (exp.f64 (*.f64 a #s(literal 1/4 binary64))) (pow.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)) #s(literal -1/4 binary64))))
(*.f64 (exp.f64 (*.f64 a #s(literal 1/2 binary64))) (pow.f64 (+.f64 (exp.f64 b) (exp.f64 a)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (+.f64 (exp.f64 b) (exp.f64 a)) #s(literal -1/2 binary64)) (exp.f64 (*.f64 a #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (+.f64 (exp.f64 b) (exp.f64 a)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 (exp.f64 a) #s(literal -1 binary64)) (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (/.f64 (exp.f64 a) #s(literal -1 binary64)) (+.f64 (exp.f64 b) (exp.f64 a)))))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (/.f64 #s(literal -1 binary64) (exp.f64 a))))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a))) (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 b) (exp.f64 a)))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (exp.f64 b)))))
(*.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)) #s(literal -1/8 binary64)) (*.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)) #s(literal -1/8 binary64)) (pow.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)) #s(literal -1/4 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 (exp.f64 b) (exp.f64 a)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (/.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (-.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (exp.f64 b)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (exp.f64 a)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (exp.f64 a)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (exp.f64 b)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a))))
(*.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)) #s(literal -3/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)) #s(literal -3/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 b #s(literal 3 binary64))) (exp.f64 (*.f64 #s(literal 3 binary64) a)))) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) b)) (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) a)) (exp.f64 (+.f64 b a)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) a)) (exp.f64 (*.f64 #s(literal 2 binary64) b)))) #s(literal 1/2 binary64)) (pow.f64 (-.f64 (exp.f64 a) (exp.f64 b)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (exp.f64 (*.f64 a #s(literal 1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (+.f64 (exp.f64 b) (exp.f64 a)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 (exp.f64 b) (exp.f64 a)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 (*.f64 a #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (exp.f64 (*.f64 a #s(literal 1/4 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (+.f64 (exp.f64 b) (exp.f64 a)) #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 (exp.f64 b) (exp.f64 a)) #s(literal -1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 (*.f64 a #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 b) (exp.f64 a)))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a))))
(*.f64 (sqrt.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)) #s(literal -1/4 binary64))) (sqrt.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)) #s(literal -3/4 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)) #s(literal -3/4 binary64))) (sqrt.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)) #s(literal -1/4 binary64))))
(*.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 b #s(literal 3 binary64))) (exp.f64 (*.f64 #s(literal 3 binary64) a))))) (sqrt.f64 (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) b)) (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) a)) (exp.f64 (+.f64 b a))))))
(*.f64 (sqrt.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) a)) (exp.f64 (*.f64 #s(literal 2 binary64) b))))) (sqrt.f64 (-.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (*.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)) #s(literal -1/4 binary64)) (pow.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)) #s(literal -1/8 binary64))) (pow.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)) #s(literal -1/8 binary64)))
(*.f64 (*.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)) #s(literal -1/4 binary64)) (exp.f64 (*.f64 a #s(literal 1/4 binary64)))) (pow.f64 (+.f64 (exp.f64 b) (exp.f64 a)) #s(literal -1/4 binary64)))
(*.f64 (*.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)) #s(literal -1/4 binary64)) (pow.f64 (+.f64 (exp.f64 b) (exp.f64 a)) #s(literal -1/4 binary64))) (exp.f64 (*.f64 a #s(literal 1/4 binary64))))

simplify333.0ms (4.1%)

Algorithm
1×egg-herbie
Rules
5410×*-lowering-*.f32
5410×*-lowering-*.f64
5024×+-lowering-+.f64
5024×+-lowering-+.f32
1820×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02702964
18602703
231912681
089852681
Stop Event
1×iter limit
1×node limit
Counts
216 → 216
Calls
Call 1
Inputs
1/2
(+ 1/2 (* -1/4 b))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
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 (exp b))
(+ 1 (+ (exp b) (* -1 (* a (exp b)))))
(+ 1 (+ (exp b) (* a (- (* a (- 1/2 (+ (* -1 (exp b)) (* 1/2 (+ 1 (exp b)))))) (exp b)))))
(+ 1 (+ (exp b) (* a (- (* a (- (+ 1/2 (* a (- (+ (* -1 (exp b)) (* 1/2 (+ 1 (exp b)))) (+ 1/3 (+ (* -1/2 (exp b)) (* 1/6 (+ 1 (exp b)))))))) (+ (* -1 (exp b)) (* 1/2 (+ 1 (exp b)))))) (exp b)))))
(/ (+ (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)) (exp a))
(+ 1 (+ (/ 1 (exp a)) (/ b (exp a))))
(+ 1 (+ (* b (+ (* 1/2 (/ b (exp a))) (/ 1 (exp a)))) (/ 1 (exp a))))
(+ 1 (+ (* b (+ (* b (+ (* 1/6 (/ b (exp a))) (* 1/2 (/ 1 (exp a))))) (/ 1 (exp a)))) (/ 1 (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 (+ 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))
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)
1/2
(+ 1/2 (* 1/4 a))
(+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))
(+ 1/2 (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))))
(/ (exp a) (+ 1 (exp a)))
(/ (exp a) (+ 1 (exp a)))
(/ (exp a) (+ 1 (exp a)))
(/ (exp a) (+ 1 (exp a)))
(/ (exp a) (+ 1 (exp a)))
(/ (exp a) (+ 1 (exp a)))
(/ (exp a) (+ 1 (exp a)))
(/ (exp a) (+ 1 (exp a)))
2
(+ 2 a)
(+ 2 (* a (+ 1 (* 1/2 a))))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(/ 1 (+ 1 (exp b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ 1 (exp a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ 1 (+ 1 (exp b)))
(+ (* 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))))
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)))
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 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (+ (exp b) (* -1 (* a (exp b)))))
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) a) #s(literal 1 binary64)) (exp.f64 b)))
(+ 1 (+ (exp b) (* a (- (* a (- 1/2 (+ (* -1 (exp b)) (* 1/2 (+ 1 (exp b)))))) (exp b)))))
(+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (-.f64 (*.f64 a (+.f64 (+.f64 #s(literal 1/2 binary64) (exp.f64 b)) (+.f64 #s(literal -1/2 binary64) (*.f64 (exp.f64 b) #s(literal -1/2 binary64))))) (exp.f64 b))))
(+ 1 (+ (exp b) (* a (- (* a (- (+ 1/2 (* a (- (+ (* -1 (exp b)) (* 1/2 (+ 1 (exp b)))) (+ 1/3 (+ (* -1/2 (exp b)) (* 1/6 (+ 1 (exp b)))))))) (+ (* -1 (exp b)) (* 1/2 (+ 1 (exp b)))))) (exp b)))))
(+.f64 (exp.f64 b) (+.f64 #s(literal 1 binary64) (*.f64 a (-.f64 (*.f64 a (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 a (+.f64 (-.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 b))) (exp.f64 b)) (+.f64 (*.f64 (exp.f64 b) #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 1/6 binary64)))) #s(literal -1/3 binary64))) (+.f64 (exp.f64 b) (+.f64 #s(literal -1/2 binary64) (*.f64 (exp.f64 b) #s(literal -1/2 binary64))))))) (exp.f64 b)))))
(/ (+ (exp a) (exp b)) (exp a))
(/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a))
(/ (+ (exp a) (exp b)) (exp a))
(/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a))
(/ (+ (exp a) (exp b)) (exp a))
(/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a))
(/ (+ (exp a) (exp b)) (exp a))
(/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a))
(/ (+ (exp a) (exp b)) (exp a))
(/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a))
(/ (+ (exp a) (exp b)) (exp a))
(/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a))
(/ (+ (exp a) (exp b)) (exp a))
(/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a))
(/ (+ (exp a) (exp b)) (exp a))
(/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a))
(/ (+ 1 (exp a)) (exp a))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a))
(+ 1 (+ (/ 1 (exp a)) (/ b (exp a))))
(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 (/.f64 b (exp.f64 a)) #s(literal 1 binary64)))
(+ 1 (+ (* b (+ (* 1/2 (/ b (exp a))) (/ 1 (exp a)))) (/ 1 (exp a))))
(+.f64 (*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 a)) (*.f64 #s(literal 1/2 binary64) (/.f64 b (exp.f64 a))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ 1 (+ (* b (+ (* b (+ (* 1/6 (/ b (exp a))) (* 1/2 (/ 1 (exp a))))) (/ 1 (exp a)))) (/ 1 (exp a))))
(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 a)) (*.f64 b (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 b (exp.f64 a))) (/.f64 #s(literal 1/2 binary64) (exp.f64 a))))))))
(/ (+ (exp a) (exp b)) (exp a))
(/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a))
(/ (+ (exp a) (exp b)) (exp a))
(/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a))
(/ (+ (exp a) (exp b)) (exp a))
(/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a))
(/ (+ (exp a) (exp b)) (exp a))
(/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a))
(/ (+ (exp a) (exp b)) (exp a))
(/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a))
(/ (+ (exp a) (exp b)) (exp a))
(/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a))
(/ (+ (exp a) (exp b)) (exp a))
(/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a))
(/ (+ (exp a) (exp b)) (exp a))
(/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (*.f64 a (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (*.f64 a (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))))))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (*.f64 a (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (*.f64 a (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (+.f64 (*.f64 a (+.f64 (/.f64 #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 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 4 binary64)))))))) (/.f64 #s(literal -3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))))))))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(-.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(+.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 b (-.f64 (*.f64 b (-.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
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(/ (exp a) (+ (exp a) (exp b)))
(/.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)))
(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)))) (* 1/2 (* (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (sqrt (+ 1 (exp b))))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (*.f64 #s(literal 1/2 binary64) (*.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 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 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))))))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (*.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b))) (+.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 (/.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 (pow.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)))) #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 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))))))))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (*.f64 a (+.f64 (*.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 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b))))) (*.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) (*.f64 (pow.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)))) #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))) (*.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 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) #s(literal 2/3 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 4 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))))) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 b))) (+.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 (+.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 (pow.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)))) #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))))))))))))))
(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))))
(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))))
(sqrt (/ (exp a) (+ 1 (exp a))))
(sqrt.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (sqrt (/ (exp a) (+ 1 (exp a)))) (* -1/2 (* b (sqrt (/ (exp a) (pow (+ 1 (exp a)) 3))))))
(+.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (*.f64 (sqrt.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))) (*.f64 b #s(literal -1/2 binary64))))
(+ (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))))))))
(+.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (*.f64 (*.f64 b #s(literal -1/2 binary64)) (+.f64 (sqrt.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))) (*.f64 (+.f64 (/.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 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) #s(literal -3/4 binary64))) (*.f64 b (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 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))))))))))
(+.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (*.f64 b (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))))) (*.f64 b (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a))) (+.f64 (+.f64 (/.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 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) #s(literal -3/4 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 (*.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 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.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 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) #s(literal -3/4 binary64)))) (+.f64 #s(literal 1 binary64) (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))))
(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))))
(sqrt (/ (exp a) (+ (exp a) (exp b))))
(sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))))

eval214.0ms (2.6%)

Compiler

Compiled 30241 to 3102 computations (89.7% saved)

prune216.0ms (2.6%)

Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New1474111485
Fresh000
Picked224
Done000
Total1476131489
Accuracy
100.0%
Counts
1489 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓68.3%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
67.2%
(/.f64 (exp.f64 a) #s(literal 2 binary64))
▶68.3%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a)))
39.6%
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
57.8%
(/.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))))))))
▶53.5%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))
✓81.8%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
38.7%
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 b b)))))
40.5%
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64))))))))
▶40.5%
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
▶40.6%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
39.5%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))
▶40.6%
#s(literal 1/2 binary64)
Compiler

Compiled 249 to 192 computations (22.9% saved)

simplify103.0ms (1.2%)

Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))
✓cost-diff0
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))
✓cost-diff0
(+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))
✓cost-diff0
(*.f64 #s(literal -1/48 binary64) (*.f64 a a))
✓cost-diff0
(+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))
✓cost-diff0
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a))))
✓cost-diff0
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
✓cost-diff0
(*.f64 #s(literal 1/4 binary64) a)
✓cost-diff0
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
✓cost-diff0
(exp.f64 a)
✓cost-diff0
(+.f64 (exp.f64 a) #s(literal 1 binary64))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a)))
✓cost-diff6400
(/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a))
Rules
848×fmsub-define
848×fnmadd-define
844×fnmsub-define
840×fma-lowering-fma.f32
840×fma-lowering-fma.f64
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
023107
15496
211494
318294
422394
523394
624594
725791
828291
930691
1050691
11104991
12181391
13259391
14301791
15313291
16321991
17326591
18326991
0326991
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ 1 (/ (+ (exp a) 1) (exp a)))
1
(/ (+ (exp a) 1) (exp a))
(+ (exp a) 1)
(exp a)
a
1/2
(+ 1/2 (* 1/4 a))
1/2
(* 1/4 a)
1/4
a
(+ 1/2 (* a (+ 1/4 (* -1/48 (* a a)))))
1/2
(* a (+ 1/4 (* -1/48 (* a a))))
a
(+ 1/4 (* -1/48 (* a a)))
1/4
(* -1/48 (* a a))
-1/48
(* a a)
(/ 1 (+ 2 (* b (+ 1 (* 1/2 b)))))
1
(+ 2 (* b (+ 1 (* 1/2 b))))
2
(* b (+ 1 (* 1/2 b)))
b
(+ 1 (* 1/2 b))
(* 1/2 b)
1/2
Outputs
(/ 1 (/ (+ (exp a) 1) (exp a)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 a))))
1
#s(literal 1 binary64)
(/ (+ (exp a) 1) (exp a))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ (exp a) 1)
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(exp a)
(exp.f64 a)
a
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 a))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
1/2
#s(literal 1/2 binary64)
(* 1/4 a)
(*.f64 a #s(literal 1/4 binary64))
1/4
#s(literal 1/4 binary64)
a
(+ 1/2 (* a (+ 1/4 (* -1/48 (* a a)))))
(-.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 (*.f64 (*.f64 a a) #s(literal 1/48 binary64)) #s(literal -1/4 binary64))))
1/2
#s(literal 1/2 binary64)
(* a (+ 1/4 (* -1/48 (* a a))))
(*.f64 a (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) #s(literal 1/48 binary64))))
a
(+ 1/4 (* -1/48 (* a a)))
(-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) #s(literal 1/48 binary64)))
1/4
#s(literal 1/4 binary64)
(* -1/48 (* a a))
(*.f64 a (*.f64 a #s(literal -1/48 binary64)))
-1/48
#s(literal -1/48 binary64)
(* a a)
(*.f64 a a)
(/ 1 (+ 2 (* b (+ 1 (* 1/2 b)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))
1
#s(literal 1 binary64)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))
2
#s(literal 2 binary64)
(* b (+ 1 (* 1/2 b)))
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))
b
(+ 1 (* 1/2 b))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
1/2
#s(literal 1/2 binary64)

localize121.0ms (1.5%)

Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) b)
✓accuracy100.0%
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))
✓accuracy100.0%
(*.f64 a a)
✓accuracy100.0%
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
✓accuracy100.0%
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a))))
✓accuracy99.8%
(*.f64 #s(literal -1/48 binary64) (*.f64 a a))
✓accuracy100.0%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
✓accuracy100.0%
(*.f64 #s(literal 1/4 binary64) a)
✓accuracy100.0%
(exp.f64 a)
✓accuracy100.0%
(+.f64 (exp.f64 a) #s(literal 1 binary64))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a)))
✓accuracy99.6%
(/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a))
Results
72.0ms186×0valid
20.0ms70×0unsamplable
Compiler

Compiled 117 to 24 computations (79.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-exp: 13.0ms (31.7% of total)
ival-mult: 10.0ms (24.4% of total)
ival-add: 8.0ms (19.5% of total)
ival-div: 5.0ms (12.2% of total)
...c/correct-round.rkt:119:19: 5.0ms (12.2% of total)
const: 1.0ms (2.4% of total)
backward-pass: 0.0ms (0% of total)

series13.0ms (0.2%)

Counts
16 → 192
Calls
Call 1
Inputs
#<alt (/ (+ (exp a) 1) (exp a))>
#<alt (/ 1 (/ (+ (exp a) 1) (exp a)))>
#<alt (+ (exp a) 1)>
#<alt (exp a)>
#<alt (+ 1/2 (* 1/4 a))>
#<alt (* 1/4 a)>
#<alt (+ 1/2 (* a (+ 1/4 (* -1/48 (* a a)))))>
#<alt (* a (+ 1/4 (* -1/48 (* a a))))>
#<alt (+ 1/4 (* -1/48 (* a a)))>
#<alt (* -1/48 (* a a))>
#<alt (/ 1 (+ 2 (* b (+ 1 (* 1/2 b)))))>
#<alt (+ 2 (* b (+ 1 (* 1/2 b))))>
#<alt (* b (+ 1 (* 1/2 b)))>
#<alt (+ 1 (* 1/2 b))>
#<alt (* a a)>
#<alt (* 1/2 b)>
Outputs
#<alt 2>
#<alt (+ 2 (* -1 a))>
#<alt (+ 2 (* a (- (* 1/2 a) 1)))>
#<alt (+ 2 (* a (- (* a (+ 1/2 (* -1/6 a))) 1)))>
#<alt (/ (+ 1 (exp a)) (exp a))>
#<alt (/ (+ 1 (exp a)) (exp a))>
#<alt (/ (+ 1 (exp a)) (exp a))>
#<alt (/ (+ 1 (exp a)) (exp a))>
#<alt (/ (+ 1 (exp a)) (exp a))>
#<alt (/ (+ 1 (exp a)) (exp a))>
#<alt (/ (+ 1 (exp a)) (exp a))>
#<alt (/ (+ 1 (exp a)) (exp a))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 a))>
#<alt (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))>
#<alt (+ 1/2 (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))))>
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt 2>
#<alt (+ 2 a)>
#<alt (+ 2 (* a (+ 1 (* 1/2 a))))>
#<alt (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt 1>
#<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 1/2>
#<alt (+ 1/2 (* 1/4 a))>
#<alt (+ 1/2 (* 1/4 a))>
#<alt (+ 1/2 (* 1/4 a))>
#<alt (* 1/4 a)>
#<alt (* a (+ 1/4 (* 1/2 (/ 1 a))))>
#<alt (* a (+ 1/4 (* 1/2 (/ 1 a))))>
#<alt (* a (+ 1/4 (* 1/2 (/ 1 a))))>
#<alt (* 1/4 a)>
#<alt (* a (+ 1/4 (* 1/2 (/ 1 a))))>
#<alt (* a (+ 1/4 (* 1/2 (/ 1 a))))>
#<alt (* a (+ 1/4 (* 1/2 (/ 1 a))))>
#<alt (* 1/4 a)>
#<alt (* 1/4 a)>
#<alt (* 1/4 a)>
#<alt (* 1/4 a)>
#<alt (* 1/4 a)>
#<alt (* 1/4 a)>
#<alt (* 1/4 a)>
#<alt (* 1/4 a)>
#<alt (* 1/4 a)>
#<alt (* 1/4 a)>
#<alt (* 1/4 a)>
#<alt (* 1/4 a)>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 a))>
#<alt (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))>
#<alt (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))>
#<alt (* -1/48 (pow a 3))>
#<alt (* (pow a 3) (- (* 1/4 (/ 1 (pow a 2))) 1/48))>
#<alt (* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48))>
#<alt (* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48))>
#<alt (* -1/48 (pow a 3))>
#<alt (* -1 (* (pow a 3) (- 1/48 (* 1/4 (/ 1 (pow a 2))))))>
#<alt (* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 2))))))>
#<alt (* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 2))))))>
#<alt (* 1/4 a)>
#<alt (* a (+ 1/4 (* -1/48 (pow a 2))))>
#<alt (* a (+ 1/4 (* -1/48 (pow a 2))))>
#<alt (* a (+ 1/4 (* -1/48 (pow a 2))))>
#<alt (* -1/48 (pow a 3))>
#<alt (* (pow a 3) (- (* 1/4 (/ 1 (pow a 2))) 1/48))>
#<alt (* (pow a 3) (- (* 1/4 (/ 1 (pow a 2))) 1/48))>
#<alt (* (pow a 3) (- (* 1/4 (/ 1 (pow a 2))) 1/48))>
#<alt (* -1/48 (pow a 3))>
#<alt (* -1 (* (pow a 3) (- 1/48 (* 1/4 (/ 1 (pow a 2))))))>
#<alt (* -1 (* (pow a 3) (- 1/48 (* 1/4 (/ 1 (pow a 2))))))>
#<alt (* -1 (* (pow a 3) (- 1/48 (* 1/4 (/ 1 (pow a 2))))))>
#<alt 1/4>
#<alt (+ 1/4 (* -1/48 (pow a 2)))>
#<alt (+ 1/4 (* -1/48 (pow a 2)))>
#<alt (+ 1/4 (* -1/48 (pow a 2)))>
#<alt (* -1/48 (pow a 2))>
#<alt (* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))>
#<alt (* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))>
#<alt (* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))>
#<alt (* -1/48 (pow a 2))>
#<alt (* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))>
#<alt (* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))>
#<alt (* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 b))>
#<alt (+ 1/2 (* b (- (* 1/16 (pow b 2)) 1/4)))>
#<alt (+ 1/2 (* b (- (* (pow b 2) (+ 1/16 (* -1/32 b))) 1/4)))>
#<alt (/ 2 (pow b 2))>
#<alt (/ (- 2 (* 4 (/ 1 b))) (pow b 2))>
#<alt (/ (- (+ 2 (/ 16 (pow b 3))) (* 4 (/ 1 b))) (pow b 2))>
#<alt (/ (- (+ 2 (/ 16 (pow b 3))) (+ (* 4 (/ 1 b)) (* 32 (/ 1 (pow b 4))))) (pow b 2))>
#<alt (/ 2 (pow b 2))>
#<alt (/ (- 2 (* 4 (/ 1 b))) (pow b 2))>
#<alt (/ (+ 2 (* -1 (/ (- 4 (* 16 (/ 1 (pow b 2)))) b))) (pow b 2))>
#<alt (/ (+ 2 (* -1 (/ (- (+ 4 (/ 32 (pow b 3))) (* 16 (/ 1 (pow b 2)))) b))) (pow b 2))>
#<alt 2>
#<alt (+ 2 b)>
#<alt (+ 2 (* b (+ 1 (* 1/2 b))))>
#<alt (+ 2 (* b (+ 1 (* 1/2 b))))>
#<alt (* 1/2 (pow b 2))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))>
#<alt (* 1/2 (pow b 2))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))>
#<alt b>
#<alt (* b (+ 1 (* 1/2 b)))>
#<alt (* b (+ 1 (* 1/2 b)))>
#<alt (* b (+ 1 (* 1/2 b)))>
#<alt (* 1/2 (pow b 2))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* 1/2 (pow b 2))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt 1>
#<alt (+ 1 (* 1/2 b))>
#<alt (+ 1 (* 1/2 b))>
#<alt (+ 1 (* 1/2 b))>
#<alt (* 1/2 b)>
#<alt (* b (+ 1/2 (/ 1 b)))>
#<alt (* b (+ 1/2 (/ 1 b)))>
#<alt (* b (+ 1/2 (/ 1 b)))>
#<alt (* 1/2 b)>
#<alt (* b (+ 1/2 (/ 1 b)))>
#<alt (* b (+ 1/2 (/ 1 b)))>
#<alt (* b (+ 1/2 (/ 1 b)))>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
Calls

48 calls:

TimeVariablePointExpression
3.0ms
b
@-inf
(+ 2 (* b (+ 1 (* 1/2 b))))
1.0ms
a
@inf
(+ 1/2 (* a (+ 1/4 (* -1/48 (* a a)))))
0.0ms
a
@-inf
(+ 1/2 (* a (+ 1/4 (* -1/48 (* a a)))))
0.0ms
a
@inf
(/ (+ (exp a) 1) (exp a))
0.0ms
a
@-inf
(/ (+ (exp a) 1) (exp a))

rewrite350.0ms (4.3%)

Algorithm
1×batch-egg-rewrite
Rules
3804×/-lowering-/.f32
3804×/-lowering-/.f64
3632×*-lowering-*.f32
3632×*-lowering-*.f64
1864×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02393
115081
2124280
0826480
Stop Event
1×iter limit
1×node limit
Counts
16 → 530
Calls
Call 1
Inputs
(/ (+ (exp a) 1) (exp a))
(/ 1 (/ (+ (exp a) 1) (exp a)))
(+ (exp a) 1)
(exp a)
(+ 1/2 (* 1/4 a))
(* 1/4 a)
(+ 1/2 (* a (+ 1/4 (* -1/48 (* a a)))))
(* a (+ 1/4 (* -1/48 (* a a))))
(+ 1/4 (* -1/48 (* a a)))
(* -1/48 (* a a))
(/ 1 (+ 2 (* b (+ 1 (* 1/2 b)))))
(+ 2 (* b (+ 1 (* 1/2 b))))
(* b (+ 1 (* 1/2 b)))
(+ 1 (* 1/2 b))
(* a a)
(* 1/2 b)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (-.f64 (log.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64))) a) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (-.f64 (log.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64))) a) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) (exp.f64 a)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a)) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (expm1.f64 a)) (exp.f64 a)) (/.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 a)) (exp.f64 a)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 a))) (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) (exp.f64 a)))
(-.f64 (/.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (*.f64 (exp.f64 a) (expm1.f64 a))) (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) (expm1.f64 a))))
(neg.f64 (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) (exp.f64 a)))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 a)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (exp.f64 a) (expm1.f64 a)) (expm1.f64 (+.f64 a a))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 a))) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (expm1.f64 a) (exp.f64 a)) (expm1.f64 (+.f64 a a))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (exp.f64 a))))
(/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 a) (/.f64 (expm1.f64 (+.f64 a a)) (exp.f64 a))))
(/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a))
(/.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (exp.f64 a))))
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) (-.f64 #s(literal 0 binary64) (exp.f64 a)))
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) (exp.f64 a)) #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (*.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 a))) (exp.f64 a)))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (*.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 a)))))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 a))) (exp.f64 a)))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 a)))) (-.f64 #s(literal 0 binary64) (exp.f64 a))))
(/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 a)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 a)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (+.f64 a a)) (*.f64 (expm1.f64 a) (exp.f64 a)))
(/.f64 (expm1.f64 (+.f64 a a)) (*.f64 (exp.f64 a) (expm1.f64 a)))
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(/.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b b)) (*.f64 #s(literal 1/2 binary64) (*.f64 b b)))) (-.f64 b (*.f64 #s(literal 1/2 binary64) (*.f64 b b))))
(/.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 b (*.f64 b b))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) b) (+.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal -1 binary64)))))
(/.f64 (*.f64 b (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 b b)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) b)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 b (*.f64 b b)))) b) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) b) (+.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal -1 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 b b))) b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) b)))
(/.f64 (neg.f64 (+.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 b (*.f64 b b))))) (neg.f64 (+.f64 (*.f64 b b) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b b)) (*.f64 #s(literal 1/2 binary64) (*.f64 b b))) (*.f64 b (*.f64 #s(literal 1/2 binary64) (*.f64 b b)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b b)) (*.f64 #s(literal 1/2 binary64) (*.f64 b b))))) (neg.f64 (-.f64 b (*.f64 #s(literal 1/2 binary64) (*.f64 b b)))))
(/.f64 (neg.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 b (*.f64 b b)))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) b) (+.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (*.f64 b (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 b b))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) b))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 b (*.f64 b b)))) b)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) b) (+.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 b b))) b)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) b))))
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 b (*.f64 b b))) (*.f64 b (*.f64 b b))) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b b)) (*.f64 #s(literal 1/2 binary64) (*.f64 b b))) (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b b)) b))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b b)) (*.f64 #s(literal 1/2 binary64) (*.f64 b b))) (*.f64 b b)) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b b)) b))
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)) b)
(*.f64 (+.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b b)) (*.f64 #s(literal 1/2 binary64) (*.f64 b b))) (*.f64 b (*.f64 #s(literal 1/2 binary64) (*.f64 b b)))))))
(*.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b b)) (*.f64 #s(literal 1/2 binary64) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (-.f64 b (*.f64 #s(literal 1/2 binary64) (*.f64 b b)))))
(*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) b) (+.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal -1 binary64))))))
(*.f64 (*.f64 b (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) b))))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 b (*.f64 b b)))) b) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) b) (+.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal -1 binary64))))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 b b))) b) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) b))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))
(+.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) b))) (neg.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) b)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) b))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) b))))
(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) (+.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) b))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 b (*.f64 b b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 b (*.f64 b b)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) b) (+.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal -1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 b (*.f64 b b)))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) b))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 b b))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) b)))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 b (*.f64 b b))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) b) (+.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal -1 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 b (*.f64 b b))))) (neg.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) b)))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 b b)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) b))))
(/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) b))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) b)) (*.f64 #s(literal 1/4 binary64) (*.f64 b b)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) b)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) b))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 #s(literal 1/8 binary64) (*.f64 b (*.f64 b b)))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 #s(literal 1/8 binary64) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal 1/8 binary64) (*.f64 b (*.f64 b b))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) b) (+.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal -1 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 #s(literal 1/8 binary64) (*.f64 b (*.f64 b b))))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 b (*.f64 b b)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) b) (+.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal -1 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 #s(literal 1/8 binary64) (*.f64 b (*.f64 b b))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) (*.f64 #s(literal 1/4 binary64) (*.f64 b b))) (*.f64 #s(literal 1/4 binary64) (*.f64 b b)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) b))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) (*.f64 #s(literal 1/4 binary64) (*.f64 b b)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 b b))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) b))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 b (*.f64 b b)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) b) (+.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 b b))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) b)))))
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) #s(literal -1 binary64))) (neg.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) b))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) b))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) b)))) (+.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) b))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) b)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) b))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) b)))))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) b)))) (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) b))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) b))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) b))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) b)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) b) (+.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal -1 binary64))))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) b)))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) b))))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) b) (+.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal -1 binary64)))))))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) b)))))
(*.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)))
(pow.f64 a #s(literal 2 binary64))
(pow.f64 (*.f64 a a) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 2 binary64))
(*.f64 a a)
(*.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))
(*.f64 #s(literal 1/2 binary64) b)
(*.f64 b #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64))

simplify219.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
3360×*-lowering-*.f32
3360×*-lowering-*.f64
2790×+-lowering-+.f64
2790×+-lowering-+.f32
1382×/-lowering-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01391174
1391991
21114986
33824949
08256949
Stop Event
1×iter limit
1×node limit
Counts
192 → 192
Calls
Call 1
Inputs
2
(+ 2 (* -1 a))
(+ 2 (* a (- (* 1/2 a) 1)))
(+ 2 (* a (- (* a (+ 1/2 (* -1/6 a))) 1)))
(/ (+ 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)) (exp a))
1/2
(+ 1/2 (* 1/4 a))
(+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))
(+ 1/2 (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))))
(/ (exp a) (+ 1 (exp a)))
(/ (exp a) (+ 1 (exp a)))
(/ (exp a) (+ 1 (exp a)))
(/ (exp a) (+ 1 (exp a)))
(/ (exp a) (+ 1 (exp a)))
(/ (exp a) (+ 1 (exp a)))
(/ (exp a) (+ 1 (exp a)))
(/ (exp a) (+ 1 (exp a)))
2
(+ 2 a)
(+ 2 (* a (+ 1 (* 1/2 a))))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
1
(+ 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)
1/2
(+ 1/2 (* 1/4 a))
(+ 1/2 (* 1/4 a))
(+ 1/2 (* 1/4 a))
(* 1/4 a)
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(* 1/4 a)
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(* 1/4 a)
(* 1/4 a)
(* 1/4 a)
(* 1/4 a)
(* 1/4 a)
(* 1/4 a)
(* 1/4 a)
(* 1/4 a)
(* 1/4 a)
(* 1/4 a)
(* 1/4 a)
(* 1/4 a)
1/2
(+ 1/2 (* 1/4 a))
(+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))
(+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))
(* -1/48 (pow a 3))
(* (pow a 3) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48))
(* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48))
(* -1/48 (pow a 3))
(* -1 (* (pow a 3) (- 1/48 (* 1/4 (/ 1 (pow a 2))))))
(* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 2))))))
(* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 2))))))
(* 1/4 a)
(* a (+ 1/4 (* -1/48 (pow a 2))))
(* a (+ 1/4 (* -1/48 (pow a 2))))
(* a (+ 1/4 (* -1/48 (pow a 2))))
(* -1/48 (pow a 3))
(* (pow a 3) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(* (pow a 3) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(* (pow a 3) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(* -1/48 (pow a 3))
(* -1 (* (pow a 3) (- 1/48 (* 1/4 (/ 1 (pow a 2))))))
(* -1 (* (pow a 3) (- 1/48 (* 1/4 (/ 1 (pow a 2))))))
(* -1 (* (pow a 3) (- 1/48 (* 1/4 (/ 1 (pow a 2))))))
1/4
(+ 1/4 (* -1/48 (pow a 2)))
(+ 1/4 (* -1/48 (pow a 2)))
(+ 1/4 (* -1/48 (pow a 2)))
(* -1/48 (pow a 2))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(* -1/48 (pow a 2))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
1/2
(+ 1/2 (* -1/4 b))
(+ 1/2 (* b (- (* 1/16 (pow b 2)) 1/4)))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/16 (* -1/32 b))) 1/4)))
(/ 2 (pow b 2))
(/ (- 2 (* 4 (/ 1 b))) (pow b 2))
(/ (- (+ 2 (/ 16 (pow b 3))) (* 4 (/ 1 b))) (pow b 2))
(/ (- (+ 2 (/ 16 (pow b 3))) (+ (* 4 (/ 1 b)) (* 32 (/ 1 (pow b 4))))) (pow b 2))
(/ 2 (pow b 2))
(/ (- 2 (* 4 (/ 1 b))) (pow b 2))
(/ (+ 2 (* -1 (/ (- 4 (* 16 (/ 1 (pow b 2)))) b))) (pow b 2))
(/ (+ 2 (* -1 (/ (- (+ 4 (/ 32 (pow b 3))) (* 16 (/ 1 (pow b 2)))) b))) (pow b 2))
2
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* 1/2 b))))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
b
(* b (+ 1 (* 1/2 b)))
(* b (+ 1 (* 1/2 b)))
(* b (+ 1 (* 1/2 b)))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (/ 1 b)))
1
(+ 1 (* 1/2 b))
(+ 1 (* 1/2 b))
(+ 1 (* 1/2 b))
(* 1/2 b)
(* b (+ 1/2 (/ 1 b)))
(* b (+ 1/2 (/ 1 b)))
(* b (+ 1/2 (/ 1 b)))
(* 1/2 b)
(* b (+ 1/2 (/ 1 b)))
(* b (+ 1/2 (/ 1 b)))
(* b (+ 1/2 (/ 1 b)))
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
Outputs
2
#s(literal 2 binary64)
(+ 2 (* -1 a))
(-.f64 #s(literal 2 binary64) a)
(+ 2 (* a (- (* 1/2 a) 1)))
(+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal -1 binary64) (*.f64 a #s(literal 1/2 binary64)))))
(+ 2 (* a (- (* a (+ 1/2 (* -1/6 a))) 1)))
(+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal -1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal -1/6 binary64)))))))
(/ (+ 1 (exp a)) (exp a))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a))
(/ (+ 1 (exp a)) (exp a))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a))
(/ (+ 1 (exp a)) (exp a))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a))
(/ (+ 1 (exp a)) (exp a))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a))
(/ (+ 1 (exp a)) (exp a))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a))
(/ (+ 1 (exp a)) (exp a))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a))
(/ (+ 1 (exp a)) (exp a))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a))
(/ (+ 1 (exp a)) (exp a))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 a))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
(+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a #s(literal -1/48 binary64))))))
(+ 1/2 (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))))))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
2
#s(literal 2 binary64)
(+ 2 a)
(+.f64 #s(literal 2 binary64) a)
(+ 2 (* a (+ 1 (* 1/2 a))))
(+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
1
#s(literal 1 binary64)
(+ 1 a)
(+.f64 a #s(literal 1 binary64))
(+ 1 (* a (+ 1 (* 1/2 a))))
(+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))))
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 a))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
(+ 1/2 (* 1/4 a))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
(+ 1/2 (* 1/4 a))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
(* 1/4 a)
(*.f64 a #s(literal 1/4 binary64))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
(* 1/4 a)
(*.f64 a #s(literal 1/4 binary64))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
(* 1/4 a)
(*.f64 a #s(literal 1/4 binary64))
(* 1/4 a)
(*.f64 a #s(literal 1/4 binary64))
(* 1/4 a)
(*.f64 a #s(literal 1/4 binary64))
(* 1/4 a)
(*.f64 a #s(literal 1/4 binary64))
(* 1/4 a)
(*.f64 a #s(literal 1/4 binary64))
(* 1/4 a)
(*.f64 a #s(literal 1/4 binary64))
(* 1/4 a)
(*.f64 a #s(literal 1/4 binary64))
(* 1/4 a)
(*.f64 a #s(literal 1/4 binary64))
(* 1/4 a)
(*.f64 a #s(literal 1/4 binary64))
(* 1/4 a)
(*.f64 a #s(literal 1/4 binary64))
(* 1/4 a)
(*.f64 a #s(literal 1/4 binary64))
(* 1/4 a)
(*.f64 a #s(literal 1/4 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 a))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
(+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a #s(literal -1/48 binary64))))))
(+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a #s(literal -1/48 binary64))))))
(* -1/48 (pow a 3))
(*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
(* (pow a 3) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a #s(literal -1/48 binary64)))))
(* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48))
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a a)))))))
(* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48))
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a a)))))))
(* -1/48 (pow a 3))
(*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
(* -1 (* (pow a 3) (- 1/48 (* 1/4 (/ 1 (pow a 2))))))
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a #s(literal -1/48 binary64)))))
(* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 2))))))
(*.f64 (*.f64 a (*.f64 a a)) (+.f64 #s(literal -1/48 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 a a))))
(* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 2))))))
(*.f64 (*.f64 a (*.f64 a a)) (+.f64 #s(literal -1/48 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 a a))))
(* 1/4 a)
(*.f64 a #s(literal 1/4 binary64))
(* a (+ 1/4 (* -1/48 (pow a 2))))
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a #s(literal -1/48 binary64)))))
(* a (+ 1/4 (* -1/48 (pow a 2))))
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a #s(literal -1/48 binary64)))))
(* a (+ 1/4 (* -1/48 (pow a 2))))
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a #s(literal -1/48 binary64)))))
(* -1/48 (pow a 3))
(*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
(* (pow a 3) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a #s(literal -1/48 binary64)))))
(* (pow a 3) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a #s(literal -1/48 binary64)))))
(* (pow a 3) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a #s(literal -1/48 binary64)))))
(* -1/48 (pow a 3))
(*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
(* -1 (* (pow a 3) (- 1/48 (* 1/4 (/ 1 (pow a 2))))))
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a #s(literal -1/48 binary64)))))
(* -1 (* (pow a 3) (- 1/48 (* 1/4 (/ 1 (pow a 2))))))
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a #s(literal -1/48 binary64)))))
(* -1 (* (pow a 3) (- 1/48 (* 1/4 (/ 1 (pow a 2))))))
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a #s(literal -1/48 binary64)))))
1/4
#s(literal 1/4 binary64)
(+ 1/4 (* -1/48 (pow a 2)))
(+.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
(+ 1/4 (* -1/48 (pow a 2)))
(+.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
(+ 1/4 (* -1/48 (pow a 2)))
(+.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
(* -1/48 (pow a 2))
(*.f64 a (*.f64 a #s(literal -1/48 binary64)))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(+.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(+.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(+.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
(* -1/48 (pow a 2))
(*.f64 a (*.f64 a #s(literal -1/48 binary64)))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(+.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(+.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(+.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
(* -1/48 (pow a 2))
(*.f64 a (*.f64 a #s(literal -1/48 binary64)))
(* -1/48 (pow a 2))
(*.f64 a (*.f64 a #s(literal -1/48 binary64)))
(* -1/48 (pow a 2))
(*.f64 a (*.f64 a #s(literal -1/48 binary64)))
(* -1/48 (pow a 2))
(*.f64 a (*.f64 a #s(literal -1/48 binary64)))
(* -1/48 (pow a 2))
(*.f64 a (*.f64 a #s(literal -1/48 binary64)))
(* -1/48 (pow a 2))
(*.f64 a (*.f64 a #s(literal -1/48 binary64)))
(* -1/48 (pow a 2))
(*.f64 a (*.f64 a #s(literal -1/48 binary64)))
(* -1/48 (pow a 2))
(*.f64 a (*.f64 a #s(literal -1/48 binary64)))
(* -1/48 (pow a 2))
(*.f64 a (*.f64 a #s(literal -1/48 binary64)))
(* -1/48 (pow a 2))
(*.f64 a (*.f64 a #s(literal -1/48 binary64)))
(* -1/48 (pow a 2))
(*.f64 a (*.f64 a #s(literal -1/48 binary64)))
(* -1/48 (pow a 2))
(*.f64 a (*.f64 a #s(literal -1/48 binary64)))
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 (- (* 1/16 (pow b 2)) 1/4)))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 1/16 binary64) (*.f64 b b)))))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/16 (* -1/32 b))) 1/4)))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/16 binary64) (*.f64 b #s(literal -1/32 binary64)))))))
(/ 2 (pow b 2))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(/ (- 2 (* 4 (/ 1 b))) (pow b 2))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b)) (*.f64 b b))
(/ (- (+ 2 (/ 16 (pow b 3))) (* 4 (/ 1 b))) (pow b 2))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16 binary64) (*.f64 b b)) #s(literal -4 binary64)) b)) (*.f64 b b))
(/ (- (+ 2 (/ 16 (pow b 3))) (+ (* 4 (/ 1 b)) (* 32 (/ 1 (pow b 4))))) (pow b 2))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 16 binary64) (*.f64 b b)) #s(literal -4 binary64)) b) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 32 binary64) (*.f64 (*.f64 b b) (*.f64 b b))))) (*.f64 b b))
(/ 2 (pow b 2))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(/ (- 2 (* 4 (/ 1 b))) (pow b 2))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b)) (*.f64 b b))
(/ (+ 2 (* -1 (/ (- 4 (* 16 (/ 1 (pow b 2)))) b))) (pow b 2))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16 binary64) (*.f64 b b)) #s(literal -4 binary64)) b)) (*.f64 b b))
(/ (+ 2 (* -1 (/ (- (+ 4 (/ 32 (pow b 3))) (* 16 (/ 1 (pow b 2)))) b))) (pow b 2))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -16 binary64) (*.f64 b b))) (/.f64 #s(literal 32 binary64) (*.f64 b (*.f64 b b)))) b)) (*.f64 b b))
2
#s(literal 2 binary64)
(+ 2 b)
(+.f64 #s(literal 2 binary64) b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))
(+ 2 (* b (+ 1 (* 1/2 b))))
(+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))
(* 1/2 (pow b 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 b b))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) b))))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) b))))
(* 1/2 (pow b 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 b b))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) b))))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) b))))
b
(* b (+ 1 (* 1/2 b)))
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))
(* b (+ 1 (* 1/2 b)))
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))
(* b (+ 1 (* 1/2 b)))
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))
(* 1/2 (pow b 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 b b))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))
(* 1/2 (pow b 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 b b))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 b))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))
(+ 1 (* 1/2 b))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))
(+ 1 (* 1/2 b))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* b (+ 1/2 (/ 1 b)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))
(* b (+ 1/2 (/ 1 b)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))
(* b (+ 1/2 (/ 1 b)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* b (+ 1/2 (/ 1 b)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))
(* b (+ 1/2 (/ 1 b)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))
(* b (+ 1/2 (/ 1 b)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)

eval89.0ms (1.1%)

Compiler

Compiled 16543 to 2069 computations (87.5% saved)

prune90.0ms (1.1%)

Pruning

26 alts after pruning (20 fresh and 6 done)

PrunedKeptTotal
New73116747
Fresh246
Picked145
Done022
Total73426760
Accuracy
100.0%
Counts
760 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
46.0%
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))))
39.2%
(/.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) #s(literal -2 binary64)))) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))))
38.7%
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) #s(literal -2 binary64))) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) #s(literal -2 binary64)))))) (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) #s(literal -2 binary64))))))
✓68.3%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
▶67.2%
(/.f64 (exp.f64 a) #s(literal 2 binary64))
17.5%
(/.f64 #s(literal 2 binary64) (*.f64 b b))
✓68.3%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a)))
38.6%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 64 binary64) (*.f64 (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) #s(literal -2 binary64)))))))
41.6%
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) a))
53.5%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))))
57.8%
(/.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))))))))
59.6%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal -1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal -1/6 binary64))))))))
54.4%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal -1 binary64) (*.f64 a #s(literal 1/2 binary64))))))
✓81.8%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
▶40.5%
(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64))) (*.f64 (*.f64 a a) (*.f64 a #s(literal -1/48 binary64))))
38.7%
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 b b)))))
40.5%
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))))))
✓40.5%
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
40.3%
(+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64)))))
✓40.6%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
39.5%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))
13.2%
(*.f64 (*.f64 a (*.f64 a a)) (+.f64 #s(literal -1/48 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 a a))))
▶13.7%
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a a)))))))
▶13.1%
(*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
▶3.6%
(*.f64 a #s(literal 1/4 binary64))
✓40.6%
#s(literal 1/2 binary64)
Compiler

Compiled 977 to 484 computations (50.5% saved)

simplify263.0ms (3.2%)

Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 a a)
✓cost-diff0
(+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a a))))))
✓cost-diff128
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a a)))))))
✓cost-diff256
(*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a a)))))
✓cost-diff0
(*.f64 (*.f64 a a) (*.f64 a #s(literal -1/48 binary64)))
✓cost-diff0
(*.f64 a #s(literal 1/4 binary64))
✓cost-diff0
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
✓cost-diff128
(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64))) (*.f64 (*.f64 a a) (*.f64 a #s(literal -1/48 binary64))))
✓cost-diff0
(*.f64 a #s(literal -1/48 binary64))
✓cost-diff0
(*.f64 a (*.f64 a #s(literal -1/48 binary64)))
✓cost-diff0
(*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
✓cost-diff0
(*.f64 a #s(literal 1/4 binary64))
✓cost-diff0
(exp.f64 a)
✓cost-diff0
(/.f64 (exp.f64 a) #s(literal 2 binary64))
Rules
3652×*-lowering-*.f32
3652×*-lowering-*.f64
2500×fma-define
2044×/-lowering-/.f32
2044×/-lowering-/.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
021112
157108
2150108
3325101
4586101
51155101
62295101
73935101
84648101
95461101
106501101
117857101
08025101
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (exp a) 2)
(exp a)
a
2
(* a 1/4)
a
1/4
(* a (* a (* a -1/48)))
a
(* a (* a -1/48))
(* a -1/48)
-1/48
(+ (+ 1/2 (* a 1/4)) (* (* a a) (* a -1/48)))
(+ 1/2 (* a 1/4))
1/2
(* a 1/4)
a
1/4
(* (* a a) (* a -1/48))
(* a a)
(* a -1/48)
-1/48
(* a (+ 1/4 (* (* a a) (+ -1/48 (/ 1/2 (* a (* a a)))))))
a
(+ 1/4 (* (* a a) (+ -1/48 (/ 1/2 (* a (* a a))))))
1/4
(* (* a a) (+ -1/48 (/ 1/2 (* a (* a a)))))
(* a a)
(+ -1/48 (/ 1/2 (* a (* a a))))
-1/48
(/ 1/2 (* a (* a a)))
1/2
(* a (* a a))
Outputs
(/ (exp a) 2)
(/.f64 (exp.f64 a) #s(literal 2 binary64))
(exp a)
(exp.f64 a)
a
2
#s(literal 2 binary64)
(* a 1/4)
(*.f64 a #s(literal 1/4 binary64))
a
1/4
#s(literal 1/4 binary64)
(* a (* a (* a -1/48)))
(*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a)))
a
(* a (* a -1/48))
(*.f64 #s(literal -1/48 binary64) (*.f64 a a))
(* a -1/48)
(*.f64 a #s(literal -1/48 binary64))
-1/48
#s(literal -1/48 binary64)
(+ (+ 1/2 (* a 1/4)) (* (* a a) (* a -1/48)))
(+.f64 (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))) #s(literal 1/2 binary64))
(+ 1/2 (* a 1/4))
(+.f64 (*.f64 a #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(* a 1/4)
(*.f64 a #s(literal 1/4 binary64))
a
1/4
#s(literal 1/4 binary64)
(* (* a a) (* a -1/48))
(*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a)))
(* a a)
(*.f64 a a)
(* a -1/48)
(*.f64 a #s(literal -1/48 binary64))
-1/48
#s(literal -1/48 binary64)
(* a (+ 1/4 (* (* a a) (+ -1/48 (/ 1/2 (* a (* a a)))))))
(+.f64 (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))) #s(literal 1/2 binary64))
a
(+ 1/4 (* (* a a) (+ -1/48 (/ 1/2 (* a (* a a))))))
(+.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a)))
1/4
#s(literal 1/4 binary64)
(* (* a a) (+ -1/48 (/ 1/2 (* a (* a a)))))
(+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a))
(* a a)
(*.f64 a a)
(+ -1/48 (/ 1/2 (* a (* a a))))
(+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a a))))
-1/48
#s(literal -1/48 binary64)
(/ 1/2 (* a (* a a)))
(/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a a)))
1/2
#s(literal 1/2 binary64)
(* a (* a a))
(*.f64 a (*.f64 a a))

localize138.0ms (1.7%)

Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(*.f64 a (*.f64 a a))
✓accuracy99.8%
(/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a a)))
✓accuracy99.7%
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a a)))))))
✓accuracy53.5%
(*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a a)))))
✓accuracy100.0%
(*.f64 a a)
✓accuracy100.0%
(*.f64 a #s(literal 1/4 binary64))
✓accuracy99.8%
(*.f64 (*.f64 a a) (*.f64 a #s(literal -1/48 binary64)))
✓accuracy99.5%
(*.f64 a #s(literal -1/48 binary64))
✓accuracy99.9%
(*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
✓accuracy99.8%
(*.f64 a (*.f64 a #s(literal -1/48 binary64)))
✓accuracy99.5%
(*.f64 a #s(literal -1/48 binary64))
✓accuracy100.0%
(*.f64 a #s(literal 1/4 binary64))
✓accuracy100.0%
(/.f64 (exp.f64 a) #s(literal 2 binary64))
✓accuracy100.0%
(exp.f64 a)
Results
96.0ms256×0valid
Compiler

Compiled 144 to 23 computations (84% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-mult: 16.0ms (48.5% of total)
ival-add: 5.0ms (15.2% of total)
ival-div: 4.0ms (12.1% of total)
...c/correct-round.rkt:119:19: 4.0ms (12.1% of total)
ival-exp: 3.0ms (9.1% of total)
const: 1.0ms (3% of total)
backward-pass: 0.0ms (0% of total)

series10.0ms (0.1%)

Counts
15 → 180
Calls
Call 1
Inputs
#<alt (/ (exp a) 2)>
#<alt (exp a)>
#<alt (* a 1/4)>
#<alt (* a (* a (* a -1/48)))>
#<alt (* a (* a -1/48))>
#<alt (* a -1/48)>
#<alt (+ (+ 1/2 (* a 1/4)) (* (* a a) (* a -1/48)))>
#<alt (+ 1/2 (* a 1/4))>
#<alt (* (* a a) (* a -1/48))>
#<alt (* (* a a) (+ -1/48 (/ 1/2 (* a (* a a)))))>
#<alt (* a (+ 1/4 (* (* a a) (+ -1/48 (/ 1/2 (* a (* a a)))))))>
#<alt (+ 1/4 (* (* a a) (+ -1/48 (/ 1/2 (* a (* a a))))))>
#<alt (* a a)>
#<alt (/ 1/2 (* a (* a a)))>
#<alt (* a (* a a))>
Outputs
#<alt 1/2>
#<alt (+ 1/2 (* 1/2 a))>
#<alt (+ 1/2 (* a (+ 1/2 (* 1/4 a))))>
#<alt (+ 1/2 (* a (+ 1/2 (* a (+ 1/4 (* 1/12 a))))))>
#<alt (* 1/2 (exp a))>
#<alt (* 1/2 (exp a))>
#<alt (* 1/2 (exp a))>
#<alt (* 1/2 (exp a))>
#<alt (* 1/2 (exp a))>
#<alt (* 1/2 (exp a))>
#<alt (* 1/2 (exp a))>
#<alt (* 1/2 (exp a))>
#<alt 1>
#<alt (+ 1 a)>
#<alt (+ 1 (* a (+ 1 (* 1/2 a))))>
#<alt (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (* 1/4 a)>
#<alt (* 1/4 a)>
#<alt (* 1/4 a)>
#<alt (* 1/4 a)>
#<alt (* 1/4 a)>
#<alt (* 1/4 a)>
#<alt (* 1/4 a)>
#<alt (* 1/4 a)>
#<alt (* 1/4 a)>
#<alt (* 1/4 a)>
#<alt (* 1/4 a)>
#<alt (* 1/4 a)>
#<alt (* -1/48 (pow a 3))>
#<alt (* -1/48 (pow a 3))>
#<alt (* -1/48 (pow a 3))>
#<alt (* -1/48 (pow a 3))>
#<alt (* -1/48 (pow a 3))>
#<alt (* -1/48 (pow a 3))>
#<alt (* -1/48 (pow a 3))>
#<alt (* -1/48 (pow a 3))>
#<alt (* -1/48 (pow a 3))>
#<alt (* -1/48 (pow a 3))>
#<alt (* -1/48 (pow a 3))>
#<alt (* -1/48 (pow a 3))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 a)>
#<alt (* -1/48 a)>
#<alt (* -1/48 a)>
#<alt (* -1/48 a)>
#<alt (* -1/48 a)>
#<alt (* -1/48 a)>
#<alt (* -1/48 a)>
#<alt (* -1/48 a)>
#<alt (* -1/48 a)>
#<alt (* -1/48 a)>
#<alt (* -1/48 a)>
#<alt (* -1/48 a)>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 a))>
#<alt (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))>
#<alt (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))>
#<alt (* -1/48 (pow a 3))>
#<alt (* (pow a 3) (- (* 1/4 (/ 1 (pow a 2))) 1/48))>
#<alt (* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48))>
#<alt (* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48))>
#<alt (* -1/48 (pow a 3))>
#<alt (* -1 (* (pow a 3) (- 1/48 (* 1/4 (/ 1 (pow a 2))))))>
#<alt (* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 2))))))>
#<alt (* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 2))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 a))>
#<alt (+ 1/2 (* 1/4 a))>
#<alt (+ 1/2 (* 1/4 a))>
#<alt (* 1/4 a)>
#<alt (* a (+ 1/4 (* 1/2 (/ 1 a))))>
#<alt (* a (+ 1/4 (* 1/2 (/ 1 a))))>
#<alt (* a (+ 1/4 (* 1/2 (/ 1 a))))>
#<alt (* 1/4 a)>
#<alt (* a (+ 1/4 (* 1/2 (/ 1 a))))>
#<alt (* a (+ 1/4 (* 1/2 (/ 1 a))))>
#<alt (* a (+ 1/4 (* 1/2 (/ 1 a))))>
#<alt (* -1/48 (pow a 3))>
#<alt (* -1/48 (pow a 3))>
#<alt (* -1/48 (pow a 3))>
#<alt (* -1/48 (pow a 3))>
#<alt (* -1/48 (pow a 3))>
#<alt (* -1/48 (pow a 3))>
#<alt (* -1/48 (pow a 3))>
#<alt (* -1/48 (pow a 3))>
#<alt (* -1/48 (pow a 3))>
#<alt (* -1/48 (pow a 3))>
#<alt (* -1/48 (pow a 3))>
#<alt (* -1/48 (pow a 3))>
#<alt (/ 1/2 a)>
#<alt (/ (+ 1/2 (* -1/48 (pow a 3))) a)>
#<alt (/ (+ 1/2 (* -1/48 (pow a 3))) a)>
#<alt (/ (+ 1/2 (* -1/48 (pow a 3))) a)>
#<alt (* -1/48 (pow a 2))>
#<alt (* (pow a 2) (- (* 1/2 (/ 1 (pow a 3))) 1/48))>
#<alt (* (pow a 2) (- (* 1/2 (/ 1 (pow a 3))) 1/48))>
#<alt (* (pow a 2) (- (* 1/2 (/ 1 (pow a 3))) 1/48))>
#<alt (* -1/48 (pow a 2))>
#<alt (* (pow a 2) (- (* 1/2 (/ 1 (pow a 3))) 1/48))>
#<alt (* (pow a 2) (- (* 1/2 (/ 1 (pow a 3))) 1/48))>
#<alt (* (pow a 2) (- (* 1/2 (/ 1 (pow a 3))) 1/48))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 a))>
#<alt (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))>
#<alt (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))>
#<alt (* -1/48 (pow a 3))>
#<alt (* (pow a 3) (- (* 1/4 (/ 1 (pow a 2))) 1/48))>
#<alt (* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48))>
#<alt (* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48))>
#<alt (* -1/48 (pow a 3))>
#<alt (* -1 (* (pow a 3) (- 1/48 (* 1/4 (/ 1 (pow a 2))))))>
#<alt (* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 2))))))>
#<alt (* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 2))))))>
#<alt (/ 1/2 a)>
#<alt (/ (+ 1/2 (* 1/4 a)) a)>
#<alt (/ (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2))))) a)>
#<alt (/ (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2))))) a)>
#<alt (* -1/48 (pow a 2))>
#<alt (* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))>
#<alt (* (pow a 2) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48))>
#<alt (* (pow a 2) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48))>
#<alt (* -1/48 (pow a 2))>
#<alt (* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))>
#<alt (* (pow a 2) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48))>
#<alt (* (pow a 2) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48))>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (/ 1/2 (pow a 3))>
#<alt (/ 1/2 (pow a 3))>
#<alt (/ 1/2 (pow a 3))>
#<alt (/ 1/2 (pow a 3))>
#<alt (/ 1/2 (pow a 3))>
#<alt (/ 1/2 (pow a 3))>
#<alt (/ 1/2 (pow a 3))>
#<alt (/ 1/2 (pow a 3))>
#<alt (/ 1/2 (pow a 3))>
#<alt (/ 1/2 (pow a 3))>
#<alt (/ 1/2 (pow a 3))>
#<alt (/ 1/2 (pow a 3))>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
Calls

45 calls:

TimeVariablePointExpression
3.0ms
a
@-inf
(* (* a a) (+ -1/48 (/ 1/2 (* a (* a a)))))
0.0ms
a
@0
(* (* a a) (+ -1/48 (/ 1/2 (* a (* a a)))))
0.0ms
a
@inf
(* (* a a) (+ -1/48 (/ 1/2 (* a (* a a)))))
0.0ms
a
@-inf
(* a (* a a))
0.0ms
a
@0
(* a (* a (* a -1/48)))

rewrite411.0ms (5%)

Algorithm
1×batch-egg-rewrite
Rules
3390×/-lowering-/.f32
3390×/-lowering-/.f64
3164×*-lowering-*.f32
3164×*-lowering-*.f64
2224×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02187
112880
2112876
0825476
Stop Event
1×iter limit
1×node limit
Counts
15 → 320
Calls
Call 1
Inputs
(/ (exp a) 2)
(exp a)
(* a 1/4)
(* a (* a (* a -1/48)))
(* a (* a -1/48))
(* a -1/48)
(+ (+ 1/2 (* a 1/4)) (* (* a a) (* a -1/48)))
(+ 1/2 (* a 1/4))
(* (* a a) (* a -1/48))
(* (* a a) (+ -1/48 (/ 1/2 (* a (* a a)))))
(* a (+ 1/4 (* (* a a) (+ -1/48 (/ 1/2 (* a (* a a)))))))
(+ 1/4 (* (* a a) (+ -1/48 (/ 1/2 (* a (* a a))))))
(* a a)
(/ 1/2 (* a (* a a)))
(* a (* a a))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (exp.f64 a))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (exp.f64 a) #s(literal -2 binary64)))
(neg.f64 (/.f64 (exp.f64 a) #s(literal -2 binary64)))
(/.f64 (exp.f64 a) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (exp.f64 a)))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) (exp.f64 a)))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) (exp.f64 a))))
(pow.f64 (/.f64 #s(literal 2 binary64) (exp.f64 a)) #s(literal -1 binary64))
(*.f64 (exp.f64 a) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (exp.f64 a))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (exp.f64 a) #s(literal -2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) (exp.f64 a)))))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (exp.f64 a)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (exp.f64 a)) #s(literal -1/2 binary64)))
(exp.f64 a)
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 a)))
(neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 a)))
(*.f64 a #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) a)
(*.f64 a (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))
(*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a)))
(*.f64 (*.f64 a #s(literal -1/48 binary64)) (*.f64 a a))
(*.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) a)
(*.f64 (*.f64 a a) (*.f64 a #s(literal -1/48 binary64)))
(*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/48 binary64))
(*.f64 a (*.f64 a #s(literal -1/48 binary64)))
(*.f64 #s(literal -1/48 binary64) (*.f64 a a))
(*.f64 (*.f64 a #s(literal -1/48 binary64)) a)
(*.f64 (*.f64 a a) #s(literal -1/48 binary64))
(*.f64 a #s(literal -1/48 binary64))
(*.f64 #s(literal -1/48 binary64) a)
(+.f64 (*.f64 a #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
(+.f64 (+.f64 (*.f64 a #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (*.f64 a (*.f64 #s(literal -1/48 binary64) (*.f64 a a))))
(+.f64 (*.f64 a (*.f64 #s(literal -1/48 binary64) (*.f64 a a))) (+.f64 (*.f64 a #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(+.f64 (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))) #s(literal 1/2 binary64))
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 a #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (+.f64 (*.f64 a #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) (-.f64 (+.f64 (*.f64 a #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (*.f64 a (*.f64 #s(literal -1/48 binary64) (*.f64 a a))))) (neg.f64 (/.f64 (*.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)))) (-.f64 (+.f64 (*.f64 a #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (*.f64 a (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))))))
(+.f64 (+.f64 (*.f64 a (*.f64 #s(literal -1/48 binary64) (*.f64 a a))) #s(literal 1/2 binary64)) (*.f64 a #s(literal 1/4 binary64)))
(-.f64 (/.f64 (*.f64 (+.f64 (*.f64 a #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (+.f64 (*.f64 a #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) (-.f64 (+.f64 (*.f64 a #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (*.f64 a (*.f64 #s(literal -1/48 binary64) (*.f64 a a))))) (/.f64 (*.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)))) (-.f64 (+.f64 (*.f64 a #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (*.f64 a (*.f64 #s(literal -1/48 binary64) (*.f64 a a))))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))))) (/.f64 (*.f64 (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a))))) (-.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))))))
(-.f64 (/.f64 (*.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)))) (-.f64 (*.f64 a (*.f64 #s(literal -1/48 binary64) (*.f64 a a))) (+.f64 (*.f64 a #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) (/.f64 (*.f64 (+.f64 (*.f64 a #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (+.f64 (*.f64 a #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) (-.f64 (*.f64 a (*.f64 #s(literal -1/48 binary64) (*.f64 a a))) (+.f64 (*.f64 a #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))))
(fma.f64 a #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
(fma.f64 a (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (+.f64 (*.f64 a #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(fma.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a))) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/4 binary64) a (+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
(fma.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a)) (+.f64 (*.f64 a #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 a #s(literal -1/48 binary64)) (*.f64 a a) (+.f64 (*.f64 a #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) a (+.f64 (*.f64 a #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 a a) (*.f64 a #s(literal -1/48 binary64)) (+.f64 (*.f64 a #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 a (*.f64 a a)) #s(literal -1/48 binary64) (+.f64 (*.f64 a #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/64 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a #s(literal 1/4 binary64)) (+.f64 (*.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))) (*.f64 a (*.f64 #s(literal -1/48 binary64) (*.f64 a a))))
(fma.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) #s(literal 1/16 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) a))) (*.f64 a (*.f64 #s(literal -1/48 binary64) (*.f64 a a))))
(/.f64 (+.f64 (*.f64 (+.f64 (*.f64 a #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (*.f64 (+.f64 (*.f64 a #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (+.f64 (*.f64 a #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/110592 binary64))))) (+.f64 (*.f64 (+.f64 (*.f64 a #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (+.f64 (*.f64 a #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 a (*.f64 #s(literal -1/48 binary64) (*.f64 a a))) (-.f64 (*.f64 a (*.f64 #s(literal -1/48 binary64) (*.f64 a a))) (+.f64 (*.f64 a #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (*.f64 (+.f64 (*.f64 a #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (*.f64 (+.f64 (*.f64 a #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (+.f64 (*.f64 a #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/110592 binary64))))) (+.f64 (*.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)))) (-.f64 (*.f64 (+.f64 (*.f64 a #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (+.f64 (*.f64 a #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) (*.f64 (+.f64 (*.f64 a #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (*.f64 a (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)))) (-.f64 (*.f64 (+.f64 (*.f64 a #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (+.f64 (*.f64 a #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) (*.f64 (+.f64 (*.f64 a #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (*.f64 a (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))))) (+.f64 (*.f64 (+.f64 (*.f64 a #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (*.f64 (+.f64 (*.f64 a #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (+.f64 (*.f64 a #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/110592 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a))))) (*.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a))))))) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))) (*.f64 (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a))))))))
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(/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a))))) (-.f64 (+.f64 (*.f64 a #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (*.f64 a (*.f64 #s(literal -1/48 binary64) (*.f64 a a))))) (-.f64 (+.f64 (*.f64 a #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (*.f64 a (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
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(/.f64 (+.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/110592 binary64))) (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/4 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (*.f64 #s(literal -1/48 binary64) (*.f64 a a))) (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/4 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/4 binary64))) (*.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/4 binary64))))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a))) #s(literal 3 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 a (*.f64 a a)))) (+.f64 (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a))) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))) (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 a #s(literal 1/2 binary64))) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a))) (/.f64 #s(literal 1/2 binary64) a)))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/16 binary64) (-.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a))) (-.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 1/16 binary64) (-.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a)))) (/.f64 #s(literal 1/16 binary64) (-.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a))))) (+.f64 (*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a))) (-.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a)))) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a))) (-.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a))))) (*.f64 (/.f64 #s(literal 1/16 binary64) (-.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a)))) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a))) (-.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a))))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (*.f64 #s(literal -1/48 binary64) (*.f64 a a))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/4 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/4 binary64)))) (-.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/4 binary64))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a))) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 a #s(literal 1/2 binary64)))) (-.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a))) (/.f64 #s(literal 1/2 binary64) a)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/16 binary64) (-.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a)))) (/.f64 #s(literal 1/16 binary64) (-.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a))))) (*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a))) (-.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a)))) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a))) (-.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a)))))) (+.f64 (/.f64 #s(literal 1/16 binary64) (-.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a)))) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a))) (-.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a)))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1/64 binary64) (*.f64 (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/16 binary64) (*.f64 (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a)) #s(literal -1/4 binary64))))))
(*.f64 (+.f64 #s(literal 1/64 binary64) (*.f64 (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a))) (-.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a)))))))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a))))
(*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a)))))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/64 binary64) (*.f64 (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/16 binary64) (*.f64 (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a)) #s(literal -1/4 binary64)))))))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/16 binary64) (*.f64 (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a))))))
(*.f64 (+.f64 (*.f64 (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a))) #s(literal -1/16 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a)) #s(literal -1/4 binary64))))
(exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)))
(pow.f64 a #s(literal 2 binary64))
(pow.f64 (*.f64 a a) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 2 binary64))
(*.f64 a a)
(*.f64 (*.f64 a a) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 a a))
(*.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 a (*.f64 a a)) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 a a))))
(neg.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 a a))))
(/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a a)))
(/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 a a)) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 a (*.f64 a a)) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 #s(literal 1/2 binary64) (*.f64 a a))))
(/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 (/.f64 #s(literal 1/2 binary64) a) a)))
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 a a))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 a (*.f64 a a)) #s(literal 1/2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 #s(literal 0 binary64) (*.f64 a a)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) a)
(/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) a) a)
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) a))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a))))
(/.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a a))) (-.f64 #s(literal 0 binary64) a))
(/.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) a)) (-.f64 #s(literal 0 binary64) a))
(pow.f64 (/.f64 (*.f64 a (*.f64 a a)) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a a))) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 a a))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a a))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (*.f64 a a)))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (/.f64 #s(literal 1 binary64) a) a))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 a a))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 a (*.f64 a a)) #s(literal 1/2 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 a a))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a))
(*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 (*.f64 a a) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) a) (/.f64 #s(literal 1 binary64) a))
(*.f64 (pow.f64 (/.f64 (*.f64 a (*.f64 a a)) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 a (*.f64 a a)) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 a) #s(literal 3 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))))
(/.f64 (*.f64 a (*.f64 a a)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))
(pow.f64 a #s(literal 3 binary64))
(pow.f64 (*.f64 a a) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 a #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 3 binary64))
(*.f64 a (*.f64 a a))
(*.f64 (*.f64 a a) a)
(*.f64 (*.f64 a (*.f64 a a)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))))
(*.f64 (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64)))

simplify179.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
2102×*-lowering-*.f32
2102×*-lowering-*.f64
1784×fma-define
1582×fma-lowering-fma.f32
1582×fma-lowering-fma.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
074988
1203866
2615866
31909807
45785807
08214807
Stop Event
1×iter limit
1×node limit
Counts
180 → 180
Calls
Call 1
Inputs
1/2
(+ 1/2 (* 1/2 a))
(+ 1/2 (* a (+ 1/2 (* 1/4 a))))
(+ 1/2 (* a (+ 1/2 (* a (+ 1/4 (* 1/12 a))))))
(* 1/2 (exp a))
(* 1/2 (exp a))
(* 1/2 (exp a))
(* 1/2 (exp a))
(* 1/2 (exp a))
(* 1/2 (exp a))
(* 1/2 (exp a))
(* 1/2 (exp a))
1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(* 1/4 a)
(* 1/4 a)
(* 1/4 a)
(* 1/4 a)
(* 1/4 a)
(* 1/4 a)
(* 1/4 a)
(* 1/4 a)
(* 1/4 a)
(* 1/4 a)
(* 1/4 a)
(* 1/4 a)
(* -1/48 (pow a 3))
(* -1/48 (pow a 3))
(* -1/48 (pow a 3))
(* -1/48 (pow a 3))
(* -1/48 (pow a 3))
(* -1/48 (pow a 3))
(* -1/48 (pow a 3))
(* -1/48 (pow a 3))
(* -1/48 (pow a 3))
(* -1/48 (pow a 3))
(* -1/48 (pow a 3))
(* -1/48 (pow a 3))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
(* -1/48 a)
(* -1/48 a)
(* -1/48 a)
(* -1/48 a)
(* -1/48 a)
(* -1/48 a)
(* -1/48 a)
(* -1/48 a)
(* -1/48 a)
(* -1/48 a)
(* -1/48 a)
(* -1/48 a)
1/2
(+ 1/2 (* 1/4 a))
(+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))
(+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))
(* -1/48 (pow a 3))
(* (pow a 3) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48))
(* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48))
(* -1/48 (pow a 3))
(* -1 (* (pow a 3) (- 1/48 (* 1/4 (/ 1 (pow a 2))))))
(* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 2))))))
(* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 2))))))
1/2
(+ 1/2 (* 1/4 a))
(+ 1/2 (* 1/4 a))
(+ 1/2 (* 1/4 a))
(* 1/4 a)
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(* 1/4 a)
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(* -1/48 (pow a 3))
(* -1/48 (pow a 3))
(* -1/48 (pow a 3))
(* -1/48 (pow a 3))
(* -1/48 (pow a 3))
(* -1/48 (pow a 3))
(* -1/48 (pow a 3))
(* -1/48 (pow a 3))
(* -1/48 (pow a 3))
(* -1/48 (pow a 3))
(* -1/48 (pow a 3))
(* -1/48 (pow a 3))
(/ 1/2 a)
(/ (+ 1/2 (* -1/48 (pow a 3))) a)
(/ (+ 1/2 (* -1/48 (pow a 3))) a)
(/ (+ 1/2 (* -1/48 (pow a 3))) a)
(* -1/48 (pow a 2))
(* (pow a 2) (- (* 1/2 (/ 1 (pow a 3))) 1/48))
(* (pow a 2) (- (* 1/2 (/ 1 (pow a 3))) 1/48))
(* (pow a 2) (- (* 1/2 (/ 1 (pow a 3))) 1/48))
(* -1/48 (pow a 2))
(* (pow a 2) (- (* 1/2 (/ 1 (pow a 3))) 1/48))
(* (pow a 2) (- (* 1/2 (/ 1 (pow a 3))) 1/48))
(* (pow a 2) (- (* 1/2 (/ 1 (pow a 3))) 1/48))
1/2
(+ 1/2 (* 1/4 a))
(+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))
(+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))
(* -1/48 (pow a 3))
(* (pow a 3) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48))
(* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48))
(* -1/48 (pow a 3))
(* -1 (* (pow a 3) (- 1/48 (* 1/4 (/ 1 (pow a 2))))))
(* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 2))))))
(* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 2))))))
(/ 1/2 a)
(/ (+ 1/2 (* 1/4 a)) a)
(/ (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2))))) a)
(/ (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2))))) a)
(* -1/48 (pow a 2))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(* (pow a 2) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48))
(* (pow a 2) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48))
(* -1/48 (pow a 2))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(* (pow a 2) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48))
(* (pow a 2) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48))
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(/ 1/2 (pow a 3))
(/ 1/2 (pow a 3))
(/ 1/2 (pow a 3))
(/ 1/2 (pow a 3))
(/ 1/2 (pow a 3))
(/ 1/2 (pow a 3))
(/ 1/2 (pow a 3))
(/ 1/2 (pow a 3))
(/ 1/2 (pow a 3))
(/ 1/2 (pow a 3))
(/ 1/2 (pow a 3))
(/ 1/2 (pow a 3))
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/2 a))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) a))
(+ 1/2 (* a (+ 1/2 (* 1/4 a))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))))
(+ 1/2 (* a (+ 1/2 (* a (+ 1/4 (* 1/12 a))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 a #s(literal 1/12 binary64)))))))
(* 1/2 (exp a))
(*.f64 #s(literal 1/2 binary64) (exp.f64 a))
(* 1/2 (exp a))
(*.f64 #s(literal 1/2 binary64) (exp.f64 a))
(* 1/2 (exp a))
(*.f64 #s(literal 1/2 binary64) (exp.f64 a))
(* 1/2 (exp a))
(*.f64 #s(literal 1/2 binary64) (exp.f64 a))
(* 1/2 (exp a))
(*.f64 #s(literal 1/2 binary64) (exp.f64 a))
(* 1/2 (exp a))
(*.f64 #s(literal 1/2 binary64) (exp.f64 a))
(* 1/2 (exp a))
(*.f64 #s(literal 1/2 binary64) (exp.f64 a))
(* 1/2 (exp a))
(*.f64 #s(literal 1/2 binary64) (exp.f64 a))
1
#s(literal 1 binary64)
(+ 1 a)
(+.f64 a #s(literal 1 binary64))
(+ 1 (* a (+ 1 (* 1/2 a))))
(+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))))
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(* 1/4 a)
(*.f64 a #s(literal 1/4 binary64))
(* 1/4 a)
(*.f64 a #s(literal 1/4 binary64))
(* 1/4 a)
(*.f64 a #s(literal 1/4 binary64))
(* 1/4 a)
(*.f64 a #s(literal 1/4 binary64))
(* 1/4 a)
(*.f64 a #s(literal 1/4 binary64))
(* 1/4 a)
(*.f64 a #s(literal 1/4 binary64))
(* 1/4 a)
(*.f64 a #s(literal 1/4 binary64))
(* 1/4 a)
(*.f64 a #s(literal 1/4 binary64))
(* 1/4 a)
(*.f64 a #s(literal 1/4 binary64))
(* 1/4 a)
(*.f64 a #s(literal 1/4 binary64))
(* 1/4 a)
(*.f64 a #s(literal 1/4 binary64))
(* 1/4 a)
(*.f64 a #s(literal 1/4 binary64))
(* -1/48 (pow a 3))
(*.f64 a (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))
(* -1/48 (pow a 3))
(*.f64 a (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))
(* -1/48 (pow a 3))
(*.f64 a (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))
(* -1/48 (pow a 3))
(*.f64 a (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))
(* -1/48 (pow a 3))
(*.f64 a (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))
(* -1/48 (pow a 3))
(*.f64 a (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))
(* -1/48 (pow a 3))
(*.f64 a (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))
(* -1/48 (pow a 3))
(*.f64 a (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))
(* -1/48 (pow a 3))
(*.f64 a (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))
(* -1/48 (pow a 3))
(*.f64 a (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))
(* -1/48 (pow a 3))
(*.f64 a (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))
(* -1/48 (pow a 3))
(*.f64 a (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))
(* -1/48 (pow a 2))
(*.f64 #s(literal -1/48 binary64) (*.f64 a a))
(* -1/48 (pow a 2))
(*.f64 #s(literal -1/48 binary64) (*.f64 a a))
(* -1/48 (pow a 2))
(*.f64 #s(literal -1/48 binary64) (*.f64 a a))
(* -1/48 (pow a 2))
(*.f64 #s(literal -1/48 binary64) (*.f64 a a))
(* -1/48 (pow a 2))
(*.f64 #s(literal -1/48 binary64) (*.f64 a a))
(* -1/48 (pow a 2))
(*.f64 #s(literal -1/48 binary64) (*.f64 a a))
(* -1/48 (pow a 2))
(*.f64 #s(literal -1/48 binary64) (*.f64 a a))
(* -1/48 (pow a 2))
(*.f64 #s(literal -1/48 binary64) (*.f64 a a))
(* -1/48 (pow a 2))
(*.f64 #s(literal -1/48 binary64) (*.f64 a a))
(* -1/48 (pow a 2))
(*.f64 #s(literal -1/48 binary64) (*.f64 a a))
(* -1/48 (pow a 2))
(*.f64 #s(literal -1/48 binary64) (*.f64 a a))
(* -1/48 (pow a 2))
(*.f64 #s(literal -1/48 binary64) (*.f64 a a))
(* -1/48 a)
(*.f64 a #s(literal -1/48 binary64))
(* -1/48 a)
(*.f64 a #s(literal -1/48 binary64))
(* -1/48 a)
(*.f64 a #s(literal -1/48 binary64))
(* -1/48 a)
(*.f64 a #s(literal -1/48 binary64))
(* -1/48 a)
(*.f64 a #s(literal -1/48 binary64))
(* -1/48 a)
(*.f64 a #s(literal -1/48 binary64))
(* -1/48 a)
(*.f64 a #s(literal -1/48 binary64))
(* -1/48 a)
(*.f64 a #s(literal -1/48 binary64))
(* -1/48 a)
(*.f64 a #s(literal -1/48 binary64))
(* -1/48 a)
(*.f64 a #s(literal -1/48 binary64))
(* -1/48 a)
(*.f64 a #s(literal -1/48 binary64))
(* -1/48 a)
(*.f64 a #s(literal -1/48 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 a))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
(+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
(+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
(* -1/48 (pow a 3))
(*.f64 a (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))
(* (pow a 3) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a))))
(* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
(* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
(* -1/48 (pow a 3))
(*.f64 a (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))
(* -1 (* (pow a 3) (- 1/48 (* 1/4 (/ 1 (pow a 2))))))
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a))))
(* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 2))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
(* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 2))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 a))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
(+ 1/2 (* 1/4 a))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
(+ 1/2 (* 1/4 a))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
(* 1/4 a)
(*.f64 a #s(literal 1/4 binary64))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
(* 1/4 a)
(*.f64 a #s(literal 1/4 binary64))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
(* -1/48 (pow a 3))
(*.f64 a (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))
(* -1/48 (pow a 3))
(*.f64 a (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))
(* -1/48 (pow a 3))
(*.f64 a (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))
(* -1/48 (pow a 3))
(*.f64 a (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))
(* -1/48 (pow a 3))
(*.f64 a (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))
(* -1/48 (pow a 3))
(*.f64 a (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))
(* -1/48 (pow a 3))
(*.f64 a (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))
(* -1/48 (pow a 3))
(*.f64 a (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))
(* -1/48 (pow a 3))
(*.f64 a (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))
(* -1/48 (pow a 3))
(*.f64 a (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))
(* -1/48 (pow a 3))
(*.f64 a (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))
(* -1/48 (pow a 3))
(*.f64 a (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
(/ (+ 1/2 (* -1/48 (pow a 3))) a)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))) a)
(/ (+ 1/2 (* -1/48 (pow a 3))) a)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))) a)
(/ (+ 1/2 (* -1/48 (pow a 3))) a)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))) a)
(* -1/48 (pow a 2))
(*.f64 #s(literal -1/48 binary64) (*.f64 a a))
(* (pow a 2) (- (* 1/2 (/ 1 (pow a 3))) 1/48))
(+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a))
(* (pow a 2) (- (* 1/2 (/ 1 (pow a 3))) 1/48))
(+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a))
(* (pow a 2) (- (* 1/2 (/ 1 (pow a 3))) 1/48))
(+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a))
(* -1/48 (pow a 2))
(*.f64 #s(literal -1/48 binary64) (*.f64 a a))
(* (pow a 2) (- (* 1/2 (/ 1 (pow a 3))) 1/48))
(+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a))
(* (pow a 2) (- (* 1/2 (/ 1 (pow a 3))) 1/48))
(+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a))
(* (pow a 2) (- (* 1/2 (/ 1 (pow a 3))) 1/48))
(+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 a))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
(+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
(+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
(* -1/48 (pow a 3))
(*.f64 a (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))
(* (pow a 3) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a))))
(* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
(* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
(* -1/48 (pow a 3))
(*.f64 a (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))
(* -1 (* (pow a 3) (- 1/48 (* 1/4 (/ 1 (pow a 2))))))
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a))))
(* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 2))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
(* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 2))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
(/ (+ 1/2 (* 1/4 a)) a)
(+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a))
(/ (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2))))) a)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a))))) a)
(/ (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2))))) a)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a))))) a)
(* -1/48 (pow a 2))
(*.f64 #s(literal -1/48 binary64) (*.f64 a a))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))
(* (pow a 2) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48))
(+.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a)))
(* (pow a 2) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48))
(+.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a)))
(* -1/48 (pow a 2))
(*.f64 #s(literal -1/48 binary64) (*.f64 a a))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))
(* (pow a 2) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48))
(+.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a)))
(* (pow a 2) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48))
(+.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a)))
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(/ 1/2 (pow a 3))
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) a)
(/ 1/2 (pow a 3))
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) a)
(/ 1/2 (pow a 3))
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) a)
(/ 1/2 (pow a 3))
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) a)
(/ 1/2 (pow a 3))
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) a)
(/ 1/2 (pow a 3))
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) a)
(/ 1/2 (pow a 3))
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) a)
(/ 1/2 (pow a 3))
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) a)
(/ 1/2 (pow a 3))
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) a)
(/ 1/2 (pow a 3))
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) a)
(/ 1/2 (pow a 3))
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) a)
(/ 1/2 (pow a 3))
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) a)
(pow a 3)
(*.f64 a (*.f64 a a))
(pow a 3)
(*.f64 a (*.f64 a a))
(pow a 3)
(*.f64 a (*.f64 a a))
(pow a 3)
(*.f64 a (*.f64 a a))
(pow a 3)
(*.f64 a (*.f64 a a))
(pow a 3)
(*.f64 a (*.f64 a a))
(pow a 3)
(*.f64 a (*.f64 a a))
(pow a 3)
(*.f64 a (*.f64 a a))
(pow a 3)
(*.f64 a (*.f64 a a))
(pow a 3)
(*.f64 a (*.f64 a a))
(pow a 3)
(*.f64 a (*.f64 a a))
(pow a 3)
(*.f64 a (*.f64 a a))

eval67.0ms (0.8%)

Compiler

Compiled 12904 to 1191 computations (90.8% saved)

prune104.0ms (1.3%)

Pruning

32 alts after pruning (21 fresh and 11 done)

PrunedKeptTotal
New5608568
Fresh21315
Picked055
Done066
Total56232594
Accuracy
100.0%
Counts
594 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
46.0%
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))))
39.2%
(/.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) #s(literal -2 binary64)))) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))))
20.4%
(/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a)))) a) (-.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a))))
38.7%
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) #s(literal -2 binary64))) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) #s(literal -2 binary64)))))) (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) #s(literal -2 binary64))))))
✓68.3%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
✓67.2%
(/.f64 (exp.f64 a) #s(literal 2 binary64))
40.4%
(/.f64 a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a)))))
17.5%
(/.f64 #s(literal 2 binary64) (*.f64 b b))
✓68.3%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a)))
38.6%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 64 binary64) (*.f64 (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) #s(literal -2 binary64)))))))
41.6%
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) a))
53.5%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))))
57.8%
(/.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))))))))
59.6%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal -1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal -1/6 binary64))))))))
54.4%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal -1 binary64) (*.f64 a #s(literal 1/2 binary64))))))
✓81.8%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
✓40.5%
(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64))) (*.f64 (*.f64 a a) (*.f64 a #s(literal -1/48 binary64))))
40.3%
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) (*.f64 a #s(literal -1/48 binary64))))
38.7%
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 b b)))))
40.5%
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))))))
✓40.5%
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
✓40.6%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
39.5%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))
13.1%
(*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/48 binary64))
40.5%
(*.f64 a (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)))
20.5%
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (*.f64 #s(literal -1/48 binary64) (*.f64 a a))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 a #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a))))))
14.5%
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a (+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a a))))) a)))
✓13.7%
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a a)))))))
13.6%
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) a) (/.f64 #s(literal 1 binary64) a))))))
✓13.1%
(*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
✓3.6%
(*.f64 a #s(literal 1/4 binary64))
✓40.6%
#s(literal 1/2 binary64)
Compiler

Compiled 1315 to 505 computations (61.6% saved)

regimes79.0ms (1%)

Counts
40 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 a #s(literal 1/4 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) a))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
(*.f64 a (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)))
(*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/48 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) (*.f64 a #s(literal -1/48 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal -1 binary64) (*.f64 a #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64))) (*.f64 (*.f64 a a) (*.f64 a #s(literal -1/48 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal -1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal -1/6 binary64))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
(/.f64 a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a)))))
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a a)))))))
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a (+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a a))))) a)))
(*.f64 (*.f64 a (*.f64 a a)) (+.f64 #s(literal -1/48 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 a a))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64))))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))))))
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) a) (/.f64 #s(literal 1 binary64) a))))))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))))
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (*.f64 #s(literal -1/48 binary64) (*.f64 a a))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 a #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a))))))
(/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a)))) a) (-.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a))))
(/.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) #s(literal -2 binary64)))) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) #s(literal -2 binary64))) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) #s(literal -2 binary64)))))) (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) #s(literal -2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 64 binary64) (*.f64 (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) #s(literal -2 binary64)))))))
(/.f64 (exp.f64 a) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))
(pow.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Calls

5 calls:

30.0ms
(exp.f64 a)
13.0ms
b
11.0ms
a
9.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
9.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
98.8%1a
98.8%1b
98.8%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
98.8%1(exp.f64 a)
98.8%1(exp.f64 b)
Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes45.0ms (0.5%)

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

4 calls:

12.0ms
a
11.0ms
b
10.0ms
(exp.f64 a)
8.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
99.5%2a
98.8%3b
99.5%2(exp.f64 a)
98.8%3(exp.f64 b)
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes28.0ms (0.3%)

Counts
35 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 a #s(literal 1/4 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) a))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
(*.f64 a (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)))
(*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/48 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) (*.f64 a #s(literal -1/48 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal -1 binary64) (*.f64 a #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64))) (*.f64 (*.f64 a a) (*.f64 a #s(literal -1/48 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal -1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal -1/6 binary64))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
(/.f64 a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a)))))
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a a)))))))
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a (+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a a))))) a)))
(*.f64 (*.f64 a (*.f64 a a)) (+.f64 #s(literal -1/48 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 a a))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64))))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))))))
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) a) (/.f64 #s(literal 1 binary64) a))))))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))))
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (*.f64 #s(literal -1/48 binary64) (*.f64 a a))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 a #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a))))))
(/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a)))) a) (-.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a))))
(/.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) #s(literal -2 binary64)))) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) #s(literal -2 binary64))) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) #s(literal -2 binary64)))))) (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) #s(literal -2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 64 binary64) (*.f64 (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) #s(literal -2 binary64)))))))
(/.f64 (exp.f64 a) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
Outputs
(/.f64 (exp.f64 a) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
Calls

2 calls:

12.0ms
(exp.f64 a)
11.0ms
a
Results
AccuracySegmentsBranch
98.9%2a
98.9%2(exp.f64 a)
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes34.0ms (0.4%)

Counts
34 → 3
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 a #s(literal 1/4 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) a))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
(*.f64 a (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)))
(*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/48 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) (*.f64 a #s(literal -1/48 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal -1 binary64) (*.f64 a #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64))) (*.f64 (*.f64 a a) (*.f64 a #s(literal -1/48 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal -1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal -1/6 binary64))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
(/.f64 a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a)))))
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a a)))))))
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a (+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a a))))) a)))
(*.f64 (*.f64 a (*.f64 a a)) (+.f64 #s(literal -1/48 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 a a))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64))))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))))))
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) a) (/.f64 #s(literal 1 binary64) a))))))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))))
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (*.f64 #s(literal -1/48 binary64) (*.f64 a a))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 a #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a))))))
(/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a)))) a) (-.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a))))
(/.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) #s(literal -2 binary64)))) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) #s(literal -2 binary64))) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) #s(literal -2 binary64)))))) (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) #s(literal -2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 64 binary64) (*.f64 (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) #s(literal -2 binary64)))))))
(/.f64 (exp.f64 a) #s(literal 2 binary64))
Outputs
(/.f64 (exp.f64 a) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
Calls

3 calls:

11.0ms
b
11.0ms
a
8.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
81.2%3b
77.6%2a
77.6%2(exp.f64 a)
Compiler

Compiled 10 to 7 computations (30% saved)

regimes27.0ms (0.3%)

Counts
33 → 3
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 a #s(literal 1/4 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) a))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
(*.f64 a (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)))
(*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/48 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) (*.f64 a #s(literal -1/48 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal -1 binary64) (*.f64 a #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64))) (*.f64 (*.f64 a a) (*.f64 a #s(literal -1/48 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal -1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal -1/6 binary64))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
(/.f64 a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a)))))
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a a)))))))
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a (+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a a))))) a)))
(*.f64 (*.f64 a (*.f64 a a)) (+.f64 #s(literal -1/48 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 a a))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64))))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))))))
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) a) (/.f64 #s(literal 1 binary64) a))))))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))))
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (*.f64 #s(literal -1/48 binary64) (*.f64 a a))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 a #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a))))))
(/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a)))) a) (-.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a))))
(/.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) #s(literal -2 binary64)))) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) #s(literal -2 binary64))) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) #s(literal -2 binary64)))))) (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) #s(literal -2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 64 binary64) (*.f64 (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) #s(literal -2 binary64)))))))
Outputs
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal -1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal -1/6 binary64))))))))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
Calls

2 calls:

15.0ms
b
9.0ms
a
Results
AccuracySegmentsBranch
71.1%2a
75.1%3b
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes10.0ms (0.1%)

Counts
27 → 3
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 a #s(literal 1/4 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) a))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
(*.f64 a (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)))
(*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/48 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) (*.f64 a #s(literal -1/48 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal -1 binary64) (*.f64 a #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64))) (*.f64 (*.f64 a a) (*.f64 a #s(literal -1/48 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal -1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal -1/6 binary64))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
(/.f64 a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a)))))
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a a)))))))
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a (+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a a))))) a)))
(*.f64 (*.f64 a (*.f64 a a)) (+.f64 #s(literal -1/48 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 a a))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64))))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))))))
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) a) (/.f64 #s(literal 1 binary64) a))))))
Outputs
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal -1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal -1/6 binary64))))))))
(*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 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:

8.0ms
b
Results
AccuracySegmentsBranch
74.4%3b
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes14.0ms (0.2%)

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

2 calls:

7.0ms
b
6.0ms
a
Results
AccuracySegmentsBranch
67.9%2a
70.7%3b
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes13.0ms (0.2%)

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

2 calls:

6.0ms
b
6.0ms
a
Results
AccuracySegmentsBranch
63.3%2a
66.6%3b
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes16.0ms (0.2%)

Counts
14 → 3
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 a #s(literal 1/4 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) a))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
(*.f64 a (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)))
(*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/48 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) (*.f64 a #s(literal -1/48 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 b b)))))
Outputs
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) a))
(*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
Calls

2 calls:

10.0ms
a
5.0ms
b
Results
AccuracySegmentsBranch
45.7%2a
58.8%3b
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Counts
7 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 a #s(literal 1/4 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) a))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
Outputs
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) a))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
Calls

1 calls:

3.0ms
b
Results
AccuracySegmentsBranch
55.2%2b
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

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

2 calls:

3.0ms
b
3.0ms
a
Results
AccuracySegmentsBranch
41.6%1a
41.6%1b
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0.1%)

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

2 calls:

3.0ms
a
2.0ms
b
Results
AccuracySegmentsBranch
40.6%1a
42.3%2b
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

Accuracy

Total -24.1b remaining (-63.4%)

Threshold costs -24.1b (-63.4%)

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

2 calls:

2.0ms
a
2.0ms
b
Results
AccuracySegmentsBranch
40.6%1a
40.6%1b
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.6186044448614401
0.9999815110667871
Compiler

Compiled 14 to 10 computations (28.6% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.6186044448614401
0.9999815110667871
Compiler

Compiled 14 to 10 computations (28.6% saved)

bsearch22.0ms (0.3%)

Algorithm
2×binary-search
Stop Event
1×predicate-same
1×narrow-enough
Steps
TimeLeftRight
10.0ms
4.108841696859066e+147
7.694858981118244e+156
10.0ms
2.7887260818527813e+45
4.0227248319403704e+46
Results
13.0ms208×0valid
Compiler

Compiled 503 to 270 computations (46.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-exp: 3.0ms (47% of total)
ival-div: 2.0ms (31.3% of total)
ival-add: 2.0ms (31.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch24.0ms (0.3%)

Algorithm
2×binary-search
Stop Event
1×predicate-same
1×narrow-enough
Steps
TimeLeftRight
12.0ms
4.108841696859066e+147
7.694858981118244e+156
10.0ms
2.7887260818527813e+45
4.0227248319403704e+46
Results
14.0ms208×0valid
Compiler

Compiled 569 to 324 computations (43.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-exp: 3.0ms (53% of total)
ival-div: 2.0ms (35.3% of total)
ival-add: 1.0ms (17.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch27.0ms (0.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
15.0ms
7.250784688032661e+102
3.777573770437109e+113
10.0ms
2.7887260818527813e+45
4.0227248319403704e+46
Results
16.0ms256×0valid
Compiler

Compiled 463 to 352 computations (24% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-exp: 3.0ms (43.3% of total)
ival-div: 2.0ms (28.8% of total)
ival-add: 2.0ms (28.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch19.0ms (0.2%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
7.0ms
3.1234960730336206e+135
1.006823662750815e+136
10.0ms
2.7887260818527813e+45
4.0227248319403704e+46
Results
10.0ms176×0valid
Compiler

Compiled 273 to 207 computations (24.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-exp: 2.0ms (42.4% of total)
ival-div: 1.0ms (21.2% of total)
ival-add: 1.0ms (21.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch21.0ms (0.2%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
7.0ms
3.1234960730336206e+135
1.006823662750815e+136
11.0ms
2.7887260818527813e+45
4.0227248319403704e+46
Results
12.0ms176×0valid
Compiler

Compiled 249 to 189 computations (24.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-exp: 2.0ms (44.1% of total)
ival-div: 1.0ms (22% of total)
ival-add: 1.0ms (22% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch24.0ms (0.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
9.0ms
3.1234960730336206e+135
1.006823662750815e+136
14.0ms
2390.2686365514196
927433178.3235469
Results
15.0ms224×0valid
Compiler

Compiled 267 to 201 computations (24.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-exp: 3.0ms (46.3% of total)
ival-div: 2.0ms (30.9% of total)
ival-add: 1.0ms (15.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch11.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
10.0ms
2.7887260818527813e+45
4.0227248319403704e+46
Results
7.0ms96×0valid
Compiler

Compiled 111 to 88 computations (20.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-div: 1.0ms (38.9% of total)
ival-exp: 1.0ms (38.9% of total)
ival-add: 1.0ms (38.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch18.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
17.0ms
-49286951.39453931
-793.8372130761136
Results
12.0ms128×0valid
Compiler

Compiled 111 to 98 computations (11.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-add: 5.0ms (63% of total)
ival-exp: 2.0ms (25.2% of total)
ival-div: 1.0ms (12.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify17.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
48×+-commutative_binary64
42×*-commutative_binary64
22×sub-neg_binary64
16×neg-sub0_binary64
16×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
085306
1125306
2142306
3156306
4173306
5184306
6187306
7188306
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (<=.f64 (exp.f64 a) #s(literal 3602879701896397/4503599627370496 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(if (<=.f64 (exp.f64 a) #s(literal 3602879701896397/4503599627370496 binary64)) (/.f64 (exp.f64 a) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(if (<=.f64 b #s(literal 39999999999999999725592761437880851790636777472 binary64)) (/.f64 (exp.f64 a) #s(literal 2 binary64)) (if (<=.f64 b #s(literal 15000000000000001298496038999574854037221349022080675856012921172039509217266793356799400692677585977189403561424740135192327629840926310196001356373819392 binary64)) (/.f64 (-.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))) (/.f64 #s(literal 2 binary64) (*.f64 b b))))
(if (<=.f64 b #s(literal 39999999999999999725592761437880851790636777472 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal -1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal -1/6 binary64)))))))) (if (<=.f64 b #s(literal 15000000000000001298496038999574854037221349022080675856012921172039509217266793356799400692677585977189403561424740135192327629840926310196001356373819392 binary64)) (/.f64 (-.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))) (/.f64 #s(literal 2 binary64) (*.f64 b b))))
(if (<=.f64 b #s(literal 2799999999999999930085469291522483565476446208 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal -1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal -1/6 binary64)))))))) (if (<=.f64 b #s(literal 10500000000000000815831766655872649178879125871197860277834278179049830808884244966648174743689294249984 binary64)) (*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 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 2799999999999999930085469291522483565476446208 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal -1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal -1/6 binary64)))))))) (if (<=.f64 b #s(literal 10000000000000000586640612700740119755462042863897304388093713545509821352053815609504775357961393589804030375857007499376802103616864256 binary64)) (*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64)))) (/.f64 #s(literal 2 binary64) (*.f64 b b))))
(if (<=.f64 b #s(literal 2799999999999999930085469291522483565476446208 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal -1 binary64) (*.f64 a #s(literal 1/2 binary64)))))) (if (<=.f64 b #s(literal 10000000000000000586640612700740119755462042863897304388093713545509821352053815609504775357961393589804030375857007499376802103616864256 binary64)) (*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64)))) (/.f64 #s(literal 2 binary64) (*.f64 b b))))
(if (<=.f64 b #s(literal 2400 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) a)) (if (<=.f64 b #s(literal 10000000000000000586640612700740119755462042863897304388093713545509821352053815609504775357961393589804030375857007499376802103616864256 binary64)) (*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64)))) (/.f64 #s(literal 2 binary64) (*.f64 b b))))
(if (<=.f64 b #s(literal 4999999999999999965699095179735106473829597184 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) a)) (/.f64 #s(literal 2 binary64) (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) a))
(if (<=.f64 b #s(literal -800 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64))))
#s(literal 1/2 binary64)
Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (<=.f64 (exp.f64 a) #s(literal 3602879701896397/4503599627370496 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(if (<=.f64 (exp.f64 a) #s(literal 3602879701896397/4503599627370496 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
(if (<=.f64 (exp.f64 a) #s(literal 3602879701896397/4503599627370496 binary64)) (/.f64 (exp.f64 a) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(if (<=.f64 (exp.f64 a) #s(literal 3602879701896397/4503599627370496 binary64)) (/.f64 (exp.f64 a) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
(if (<=.f64 b #s(literal 39999999999999999725592761437880851790636777472 binary64)) (/.f64 (exp.f64 a) #s(literal 2 binary64)) (if (<=.f64 b #s(literal 15000000000000001298496038999574854037221349022080675856012921172039509217266793356799400692677585977189403561424740135192327629840926310196001356373819392 binary64)) (/.f64 (-.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))) (/.f64 #s(literal 2 binary64) (*.f64 b b))))
(if (<=.f64 b #s(literal 39999999999999999725592761437880851790636777472 binary64)) (/.f64 (exp.f64 a) #s(literal 2 binary64)) (if (<=.f64 b #s(literal 15000000000000001298496038999574854037221349022080675856012921172039509217266793356799400692677585977189403561424740135192327629840926310196001356373819392 binary64)) (/.f64 (-.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))))) (/.f64 #s(literal 2 binary64) (*.f64 b b))))
(if (<=.f64 b #s(literal 39999999999999999725592761437880851790636777472 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal -1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal -1/6 binary64)))))))) (if (<=.f64 b #s(literal 15000000000000001298496038999574854037221349022080675856012921172039509217266793356799400692677585977189403561424740135192327629840926310196001356373819392 binary64)) (/.f64 (-.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))) (/.f64 #s(literal 2 binary64) (*.f64 b b))))
(if (<=.f64 b #s(literal 39999999999999999725592761437880851790636777472 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal -1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal -1/6 binary64)))))))) (if (<=.f64 b #s(literal 15000000000000001298496038999574854037221349022080675856012921172039509217266793356799400692677585977189403561424740135192327629840926310196001356373819392 binary64)) (/.f64 (-.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))))) (/.f64 #s(literal 2 binary64) (*.f64 b b))))
(if (<=.f64 b #s(literal 2799999999999999930085469291522483565476446208 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal -1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal -1/6 binary64)))))))) (if (<=.f64 b #s(literal 10500000000000000815831766655872649178879125871197860277834278179049830808884244966648174743689294249984 binary64)) (*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 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 2799999999999999930085469291522483565476446208 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal -1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal -1/6 binary64)))))))) (if (<=.f64 b #s(literal 10000000000000000586640612700740119755462042863897304388093713545509821352053815609504775357961393589804030375857007499376802103616864256 binary64)) (*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64)))) (/.f64 #s(literal 2 binary64) (*.f64 b b))))
(if (<=.f64 b #s(literal 2799999999999999930085469291522483565476446208 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal -1 binary64) (*.f64 a #s(literal 1/2 binary64)))))) (if (<=.f64 b #s(literal 10000000000000000586640612700740119755462042863897304388093713545509821352053815609504775357961393589804030375857007499376802103616864256 binary64)) (*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64)))) (/.f64 #s(literal 2 binary64) (*.f64 b b))))
(if (<=.f64 b #s(literal 2400 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) a)) (if (<=.f64 b #s(literal 10000000000000000586640612700740119755462042863897304388093713545509821352053815609504775357961393589804030375857007499376802103616864256 binary64)) (*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64)))) (/.f64 #s(literal 2 binary64) (*.f64 b b))))
(if (<=.f64 b #s(literal 4999999999999999965699095179735106473829597184 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) a)) (/.f64 #s(literal 2 binary64) (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) a))
(if (<=.f64 b #s(literal -800 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64))))
#s(literal 1/2 binary64)

soundness2.1s (25.5%)

Rules
5410×*-lowering-*.f32
5410×*-lowering-*.f64
5024×+-lowering-+.f64
5024×+-lowering-+.f32
3804×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0617
12817
221717
3215917
0866017
02702964
18602703
231912681
089852681
0120714
1360655
21227637
35176633
08594633
01391174
1391991
21114986
33824949
08256949
02393
115081
2124280
0826480
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
Compiler

Compiled 1063 to 622 computations (41.5% saved)

preprocess73.0ms (0.9%)

Compiler

Compiled 656 to 196 computations (70.1% saved)

end0.0ms (0%)

Profiling

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