Quotient of sum of exps

Time bar (total: 8.3s)

analyze12.0ms (0.1%)

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

Compiled 11 to 7 computations (36.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-exp: 1.0ms (42.9% of total)
ival-add: 1.0ms (42.9% of total)
ival-div: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample956.0ms (11.6%)

Results
530.0ms8256×0valid
158.0ms2934×0unsamplable
Precisions
Click to see histograms. Total time spent on operations: 355.0ms
ival-exp: 192.0ms (54% of total)
ival-div: 79.0ms (22.2% of total)
ival-add: 72.0ms (20.3% of total)
const: 9.0ms (2.5% of total)
backward-pass: 4.0ms (1.1% of total)
Bogosity

preprocess136.0ms (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))))

explain69.0ms (0.8%)

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
46.0ms512×0valid
Compiler

Compiled 54 to 20 computations (63% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-exp: 7.0ms (49.7% of total)
ival-div: 3.0ms (21.3% of total)
ival-add: 3.0ms (21.3% 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)

prune6.0ms (0.1%)

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)

simplify4.0ms (0%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

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: 9.0ms
ival-div: 4.0ms (46% of total)
ival-exp: 3.0ms (34.5% of total)
ival-add: 1.0ms (11.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series6.0ms (0.1%)

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

18 calls:

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

rewrite291.0ms (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))

simplify272.0ms (3.3%)

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)

eval38.0ms (0.5%)

Compiler

Compiled 9352 to 1016 computations (89.1% saved)

prune40.0ms (0.5%)

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))
▶66.4%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
▶80.0%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
▶80.4%
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))))
Compiler

Compiled 57 to 35 computations (38.6% saved)

simplify181.0ms (2.2%)

Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(exp.f64 a)
✓cost-diff0
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
✓cost-diff64
(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1/2 binary64))
✓cost-diff12928
(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-diff0
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
✓cost-diff0
(exp.f64 b)
✓cost-diff0
(+.f64 #s(literal 1 binary64) (exp.f64 b))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
✓cost-diff6464
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))
✓cost-diff6464
(*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))))
✓cost-diff13248
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))))
Rules
2708×fnmadd-define
2256×fmsub-define
2164×fnmsub-define
1984×fma-lowering-fma.f32
1984×fma-lowering-fma.f64
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
021154
139142
283140
3141139
4395137
5718135
61161133
71631133
82703133
94394133
106318133
117853133
08006133
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (/ 1 (+ 1 (exp b))) (* a (+ (/ 1 (+ 1 (exp b))) (/ -1 (pow (+ 1 (exp b)) 2)))))
(/ 1 (+ 1 (exp b)))
1
(+ 1 (exp b))
(exp b)
b
(* a (+ (/ 1 (+ 1 (exp b))) (/ -1 (pow (+ 1 (exp b)) 2))))
a
(+ (/ 1 (+ 1 (exp b))) (/ -1 (pow (+ 1 (exp b)) 2)))
(/ -1 (pow (+ 1 (exp b)) 2))
-1
(pow (+ 1 (exp b)) 2)
2
(/ 1 (+ 1 (exp b)))
1
(+ 1 (exp b))
(exp b)
b
(/ (exp a) (+ (exp a) 1))
(exp a)
a
(+ (exp a) 1)
1
(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))) (* a (+ (/ 1 (+ 1 (exp b))) (/ -1 (pow (+ 1 (exp b)) 2)))))
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) a) (/.f64 a (-.f64 #s(literal -1 binary64) (exp.f64 b)))) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
1
#s(literal 1 binary64)
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(exp b)
(exp.f64 b)
b
(* a (+ (/ 1 (+ 1 (exp b))) (/ -1 (pow (+ 1 (exp b)) 2))))
(*.f64 (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 b)))))
a
(+ (/ 1 (+ 1 (exp b))) (/ -1 (pow (+ 1 (exp b)) 2)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 b)))) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ -1 (pow (+ 1 (exp b)) 2))
(/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))
-1
#s(literal -1 binary64)
(pow (+ 1 (exp b)) 2)
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
1
#s(literal 1 binary64)
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(exp b)
(exp.f64 b)
b
(/ (exp a) (+ (exp a) 1))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(exp a)
(exp.f64 a)
a
(+ (exp a) 1)
(+.f64 #s(literal 1 binary64) (exp.f64 a))
1
#s(literal 1 binary64)
(pow (pow (/ (exp a) (+ (exp a) (exp b))) 1/2) 2)
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(pow (/ (exp a) (+ (exp a) (exp b))) 1/2)
(sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))
(/ (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
1/2
#s(literal 1/2 binary64)
2
#s(literal 2 binary64)

localize167.0ms (2%)

Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(exp.f64 a)
✓accuracy100.0%
(+.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))
✓accuracy98.8%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
✓accuracy100.0%
(exp.f64 a)
✓accuracy100.0%
(+.f64 (exp.f64 a) #s(literal 1 binary64))
✓accuracy99.6%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
✓accuracy100.0%
(exp.f64 b)
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (exp.f64 b))
✓accuracy100.0%
(exp.f64 b)
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (exp.f64 b))
✓accuracy100.0%
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))
Results
79.0ms212×0valid
49.0ms43×2valid
1.0ms1×1valid
Compiler

Compiled 162 to 22 computations (86.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
ival-pow: 22.0ms (40.1% of total)
ival-div: 9.0ms (16.4% of total)
ival-add: 8.0ms (14.6% of total)
ival-exp: 7.0ms (12.8% of total)
backward-pass: 6.0ms (10.9% of total)
ival-mult: 2.0ms (3.6% of total)
const: 1.0ms (1.8% of total)

series22.0ms (0.3%)

Counts
14 → 240
Calls
Call 1
Inputs
#<alt (+ (/ 1 (+ 1 (exp b))) (* a (+ (/ 1 (+ 1 (exp b))) (/ -1 (pow (+ 1 (exp b)) 2)))))>
#<alt (* a (+ (/ 1 (+ 1 (exp b))) (/ -1 (pow (+ 1 (exp b)) 2))))>
#<alt (+ (/ 1 (+ 1 (exp b))) (/ -1 (pow (+ 1 (exp b)) 2)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (+ 1 (exp b))>
#<alt (exp b)>
#<alt (/ (exp a) (+ (exp a) 1))>
#<alt (exp a)>
#<alt (+ (exp a) 1)>
#<alt (pow (pow (/ (exp a) (+ (exp a) (exp b))) 1/2) 2)>
#<alt (pow (/ (exp a) (+ (exp a) (exp b))) 1/2)>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (pow (+ 1 (exp b)) 2)>
#<alt (+ (exp a) (exp b))>
Outputs
#<alt (+ 1/2 (* 1/4 a))>
#<alt (+ 1/2 (+ (* -1/4 b) (* 1/4 a)))>
#<alt (+ 1/2 (+ (* 1/4 a) (* b (- (* -1/16 (* a b)) 1/4))))>
#<alt (+ 1/2 (+ (* 1/4 a) (* b (- (* b (+ (* -1/16 a) (* 1/48 b))) 1/4))))>
#<alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))>
#<alt (* a (- (+ (/ 1 (* a (+ 1 (exp b)))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2))))>
#<alt (* a (- (+ (/ 1 (* a (+ 1 (exp b)))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2))))>
#<alt (* a (- (+ (/ 1 (* a (+ 1 (exp b)))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2))))>
#<alt (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))>
#<alt (* -1 (* a (- (* -1 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (* a (+ 1 (exp b)))))))>
#<alt (* -1 (* a (- (* -1 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (* a (+ 1 (exp b)))))))>
#<alt (* -1 (* a (- (* -1 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (* a (+ 1 (exp b)))))))>
#<alt (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))>
#<alt (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))>
#<alt (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))>
#<alt (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))>
#<alt (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))>
#<alt (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))>
#<alt (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))>
#<alt (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))>
#<alt (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))>
#<alt (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))>
#<alt (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))>
#<alt (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))>
#<alt (* 1/4 a)>
#<alt (+ (* -1/16 (* a (pow b 2))) (* 1/4 a))>
#<alt (+ (* 1/4 a) (* (pow b 2) (+ (* -1/16 a) (* 1/96 (* a (pow b 2))))))>
#<alt (+ (* 1/4 a) (* (pow b 2) (+ (* -1/16 a) (* (pow b 2) (+ (* -17/11520 (* a (pow b 2))) (* 1/96 a))))))>
#<alt (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))>
#<alt (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))>
#<alt (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))>
#<alt (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))>
#<alt (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))>
#<alt (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))>
#<alt (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))>
#<alt (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))>
#<alt 1/4>
#<alt (+ 1/4 (* -1/16 (pow b 2)))>
#<alt (+ 1/4 (* (pow b 2) (- (* 1/96 (pow b 2)) 1/16)))>
#<alt (+ 1/4 (* (pow b 2) (- (* (pow b 2) (+ 1/96 (* -17/11520 (pow b 2)))) 1/16)))>
#<alt (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))>
#<alt (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))>
#<alt (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))>
#<alt (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))>
#<alt (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))>
#<alt (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))>
#<alt (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))>
#<alt (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 b))>
#<alt (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))>
#<alt (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt 2>
#<alt (+ 2 b)>
#<alt (+ 2 (* b (+ 1 (* 1/2 b))))>
#<alt (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt 1>
#<alt (+ 1 b)>
#<alt (+ 1 (* b (+ 1 (* 1/2 b))))>
#<alt (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 a))>
#<alt (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))>
#<alt (+ 1/2 (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))))>
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt 1>
#<alt (+ 1 a)>
#<alt (+ 1 (* a (+ 1 (* 1/2 a))))>
#<alt (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt 2>
#<alt (+ 2 a)>
#<alt (+ 2 (* a (+ 1 (* 1/2 a))))>
#<alt (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))>
#<alt (+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))>
#<alt (+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (sqrt (/ 1 (+ 1 (exp b))))>
#<alt (+ (sqrt (/ 1 (+ 1 (exp b)))) (* 1/2 (* (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (sqrt (+ 1 (exp b))))))>
#<alt (+ (sqrt (/ 1 (+ 1 (exp b)))) (* a (+ (* 1/2 (* (sqrt (+ 1 (exp b))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (* 1/2 (* (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (+ (* 1/4 (* (+ 1 (exp b)) (pow (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) 2))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2)))))) (sqrt (+ 1 (exp b))))))))>
#<alt (+ (sqrt (/ 1 (+ 1 (exp b)))) (* a (+ (* 1/2 (* (sqrt (+ 1 (exp b))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (* a (+ (* 1/2 (* (sqrt (+ 1 (exp b))) (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (+ (* 1/4 (* (+ 1 (exp b)) (pow (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) 2))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))))) (* 1/2 (* (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (* (+ 1 (exp b)) (* (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (+ (* 1/4 (* (+ 1 (exp b)) (pow (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) 2))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4)))))))) (sqrt (+ 1 (exp b))))))))))>
#<alt (sqrt (/ (exp a) (+ (exp a) (exp b))))>
#<alt (sqrt (/ (exp a) (+ (exp a) (exp b))))>
#<alt (sqrt (/ (exp a) (+ (exp a) (exp b))))>
#<alt (sqrt (/ (exp a) (+ (exp a) (exp b))))>
#<alt (sqrt (/ (exp a) (+ (exp a) (exp b))))>
#<alt (sqrt (/ (exp a) (+ (exp a) (exp b))))>
#<alt (sqrt (/ (exp a) (+ (exp a) (exp b))))>
#<alt (sqrt (/ (exp a) (+ (exp a) (exp b))))>
#<alt (sqrt (/ (exp a) (+ 1 (exp a))))>
#<alt (+ (sqrt (/ (exp a) (+ 1 (exp a)))) (* -1/2 (* b (sqrt (/ (exp a) (pow (+ 1 (exp a)) 3))))))>
#<alt (+ (sqrt (/ (exp a) (+ 1 (exp a)))) (* b (+ (* -1/2 (sqrt (/ (exp a) (pow (+ 1 (exp a)) 3)))) (* -1/2 (* (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (+ (* 1/4 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (sqrt (/ (+ 1 (exp a)) (exp a))))))))>
#<alt (+ (sqrt (/ (exp a) (+ 1 (exp a)))) (* b (+ (* -1/2 (sqrt (/ (exp a) (pow (+ 1 (exp a)) 3)))) (* b (+ (* -1/2 (* (sqrt (/ (+ 1 (exp a)) (exp a))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (+ (* 1/4 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (* -1/2 (* (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (+ (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))) (* 1/2 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (+ (* 1/4 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2))))) (+ 1 (exp a)))))))) (sqrt (/ (+ 1 (exp a)) (exp a))))))))))>
#<alt (sqrt (/ (exp a) (+ (exp a) (exp b))))>
#<alt (sqrt (/ (exp a) (+ (exp a) (exp b))))>
#<alt (sqrt (/ (exp a) (+ (exp a) (exp b))))>
#<alt (sqrt (/ (exp a) (+ (exp a) (exp b))))>
#<alt (sqrt (/ (exp a) (+ (exp a) (exp b))))>
#<alt (sqrt (/ (exp a) (+ (exp a) (exp b))))>
#<alt (sqrt (/ (exp a) (+ (exp a) (exp b))))>
#<alt (sqrt (/ (exp a) (+ (exp a) (exp b))))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))>
#<alt (+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))>
#<alt (+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt 4>
#<alt (+ 4 (* 4 b))>
#<alt (+ 4 (* b (+ 4 (* 3 b))))>
#<alt (+ 4 (* b (+ 4 (* b (+ 3 (* 5/3 b))))))>
#<alt (pow (+ 1 (exp b)) 2)>
#<alt (pow (+ 1 (exp b)) 2)>
#<alt (pow (+ 1 (exp b)) 2)>
#<alt (pow (+ 1 (exp b)) 2)>
#<alt (pow (+ 1 (exp b)) 2)>
#<alt (pow (+ 1 (exp b)) 2)>
#<alt (pow (+ 1 (exp b)) 2)>
#<alt (pow (+ 1 (exp b)) 2)>
#<alt (+ 1 (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))>
Calls

60 calls:

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

rewrite335.0ms (4.1%)

Algorithm
1×batch-egg-rewrite
Rules
3976×/-lowering-/.f32
3976×/-lowering-/.f64
3212×*-lowering-*.f32
3212×*-lowering-*.f64
2080×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
021116
1144107
2139398
0862898
Stop Event
1×iter limit
1×node limit
Counts
14 → 595
Calls
Call 1
Inputs
(+ (/ 1 (+ 1 (exp b))) (* a (+ (/ 1 (+ 1 (exp b))) (/ -1 (pow (+ 1 (exp b)) 2)))))
(* a (+ (/ 1 (+ 1 (exp b))) (/ -1 (pow (+ 1 (exp b)) 2))))
(+ (/ 1 (+ 1 (exp b))) (/ -1 (pow (+ 1 (exp b)) 2)))
(/ 1 (+ 1 (exp b)))
(+ 1 (exp b))
(exp b)
(/ (exp a) (+ (exp a) 1))
(exp a)
(+ (exp a) 1)
(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)))
(pow (+ 1 (exp b)) 2)
(+ (exp a) (exp b))
Outputs
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (*.f64 a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))))
(+.f64 (*.f64 a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(+.f64 (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 (/.f64 (*.f64 a #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (/.f64 (*.f64 a #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))
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(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (+.f64 a b))))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64))))) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (*.f64 a #s(literal 2 binary64)))) (-.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 a) (exp.f64 b))) (*.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (*.f64 b #s(literal 2 binary64))))) (*.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64)))))) (neg.f64 (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (*.f64 a #s(literal 2 binary64))))) (neg.f64 (-.f64 (exp.f64 b) (exp.f64 a))))
(pow.f64 (/.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b)))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64))))) #s(literal -1 binary64))
(*.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))))))
(*.f64 (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))))

simplify325.0ms (3.9%)

Algorithm
1×egg-herbie
Rules
5630×*-lowering-*.f32
5630×*-lowering-*.f64
4916×+-lowering-+.f64
4916×+-lowering-+.f32
1868×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02933228
19152936
233152921
087252921
Stop Event
1×iter limit
1×node limit
Counts
240 → 240
Calls
Call 1
Inputs
(+ 1/2 (* 1/4 a))
(+ 1/2 (+ (* -1/4 b) (* 1/4 a)))
(+ 1/2 (+ (* 1/4 a) (* b (- (* -1/16 (* a b)) 1/4))))
(+ 1/2 (+ (* 1/4 a) (* b (- (* b (+ (* -1/16 a) (* 1/48 b))) 1/4))))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(/ 1 (+ 1 (exp b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))
(* a (- (+ (/ 1 (* a (+ 1 (exp b)))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2))))
(* a (- (+ (/ 1 (* a (+ 1 (exp b)))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2))))
(* a (- (+ (/ 1 (* a (+ 1 (exp b)))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2))))
(* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))
(* -1 (* a (- (* -1 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (* a (+ 1 (exp b)))))))
(* -1 (* a (- (* -1 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (* a (+ 1 (exp b)))))))
(* -1 (* a (- (* -1 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (* a (+ 1 (exp b)))))))
(* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))
(* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))
(* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))
(* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))
(* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))
(* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))
(* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))
(* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))
(* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))
(* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))
(* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))
(* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))
(* 1/4 a)
(+ (* -1/16 (* a (pow b 2))) (* 1/4 a))
(+ (* 1/4 a) (* (pow b 2) (+ (* -1/16 a) (* 1/96 (* a (pow b 2))))))
(+ (* 1/4 a) (* (pow b 2) (+ (* -1/16 a) (* (pow b 2) (+ (* -17/11520 (* a (pow b 2))) (* 1/96 a))))))
(* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))
(* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))
(* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))
(* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))
(* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))
(* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))
(* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))
(* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))
1/4
(+ 1/4 (* -1/16 (pow b 2)))
(+ 1/4 (* (pow b 2) (- (* 1/96 (pow b 2)) 1/16)))
(+ 1/4 (* (pow b 2) (- (* (pow b 2) (+ 1/96 (* -17/11520 (pow b 2)))) 1/16)))
(- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))
(- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))
(- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))
(- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))
(- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))
(- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))
(- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))
(- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))
1/2
(+ 1/2 (* -1/4 b))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
2
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
1
(+ 1 b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
1/2
(+ 1/2 (* 1/4 a))
(+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))
(+ 1/2 (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))))
(/ (exp a) (+ 1 (exp a)))
(/ (exp a) (+ 1 (exp a)))
(/ (exp a) (+ 1 (exp a)))
(/ (exp a) (+ 1 (exp a)))
(/ (exp a) (+ 1 (exp a)))
(/ (exp a) (+ 1 (exp a)))
(/ (exp a) (+ 1 (exp a)))
(/ (exp a) (+ 1 (exp a)))
1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
2
(+ 2 a)
(+ 2 (* a (+ 1 (* 1/2 a))))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(/ 1 (+ 1 (exp b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ 1 (exp a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(sqrt (/ 1 (+ 1 (exp b))))
(+ (sqrt (/ 1 (+ 1 (exp b)))) (* 1/2 (* (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (sqrt (+ 1 (exp b))))))
(+ (sqrt (/ 1 (+ 1 (exp b)))) (* a (+ (* 1/2 (* (sqrt (+ 1 (exp b))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (* 1/2 (* (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (+ (* 1/4 (* (+ 1 (exp b)) (pow (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) 2))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2)))))) (sqrt (+ 1 (exp b))))))))
(+ (sqrt (/ 1 (+ 1 (exp b)))) (* a (+ (* 1/2 (* (sqrt (+ 1 (exp b))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (* a (+ (* 1/2 (* (sqrt (+ 1 (exp b))) (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (+ (* 1/4 (* (+ 1 (exp b)) (pow (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) 2))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))))) (* 1/2 (* (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (* (+ 1 (exp b)) (* (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (+ (* 1/4 (* (+ 1 (exp b)) (pow (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) 2))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4)))))))) (sqrt (+ 1 (exp b))))))))))
(sqrt (/ (exp a) (+ (exp a) (exp b))))
(sqrt (/ (exp a) (+ (exp a) (exp b))))
(sqrt (/ (exp a) (+ (exp a) (exp b))))
(sqrt (/ (exp a) (+ (exp a) (exp b))))
(sqrt (/ (exp a) (+ (exp a) (exp b))))
(sqrt (/ (exp a) (+ (exp a) (exp b))))
(sqrt (/ (exp a) (+ (exp a) (exp b))))
(sqrt (/ (exp a) (+ (exp a) (exp b))))
(sqrt (/ (exp a) (+ 1 (exp a))))
(+ (sqrt (/ (exp a) (+ 1 (exp a)))) (* -1/2 (* b (sqrt (/ (exp a) (pow (+ 1 (exp a)) 3))))))
(+ (sqrt (/ (exp a) (+ 1 (exp a)))) (* b (+ (* -1/2 (sqrt (/ (exp a) (pow (+ 1 (exp a)) 3)))) (* -1/2 (* (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (+ (* 1/4 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (sqrt (/ (+ 1 (exp a)) (exp a))))))))
(+ (sqrt (/ (exp a) (+ 1 (exp a)))) (* b (+ (* -1/2 (sqrt (/ (exp a) (pow (+ 1 (exp a)) 3)))) (* b (+ (* -1/2 (* (sqrt (/ (+ 1 (exp a)) (exp a))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (+ (* 1/4 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (* -1/2 (* (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (+ (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))) (* 1/2 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (+ (* 1/4 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2))))) (+ 1 (exp a)))))))) (sqrt (/ (+ 1 (exp a)) (exp a))))))))))
(sqrt (/ (exp a) (+ (exp a) (exp b))))
(sqrt (/ (exp a) (+ (exp a) (exp b))))
(sqrt (/ (exp a) (+ (exp a) (exp b))))
(sqrt (/ (exp a) (+ (exp a) (exp b))))
(sqrt (/ (exp a) (+ (exp a) (exp b))))
(sqrt (/ (exp a) (+ (exp a) (exp b))))
(sqrt (/ (exp a) (+ (exp a) (exp b))))
(sqrt (/ (exp a) (+ (exp a) (exp b))))
(/ 1 (+ 1 (exp b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ 1 (exp a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
4
(+ 4 (* 4 b))
(+ 4 (* b (+ 4 (* 3 b))))
(+ 4 (* b (+ 4 (* b (+ 3 (* 5/3 b))))))
(pow (+ 1 (exp b)) 2)
(pow (+ 1 (exp b)) 2)
(pow (+ 1 (exp b)) 2)
(pow (+ 1 (exp b)) 2)
(pow (+ 1 (exp b)) 2)
(pow (+ 1 (exp b)) 2)
(pow (+ 1 (exp b)) 2)
(pow (+ 1 (exp b)) 2)
(+ 1 (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))
Outputs
(+ 1/2 (* 1/4 a))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
(+ 1/2 (+ (* -1/4 b) (* 1/4 a)))
(+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal 1/4 binary64) a) (*.f64 #s(literal -1/4 binary64) b)))
(+ 1/2 (+ (* 1/4 a) (* b (- (* -1/16 (* a b)) 1/4))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a)) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 #s(literal -1/16 binary64) b)))))
(+ 1/2 (+ (* 1/4 a) (* b (- (* b (+ (* -1/16 a) (* 1/48 b))) 1/4))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a)) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 b (+.f64 (*.f64 a #s(literal -1/16 binary64)) (*.f64 b #s(literal 1/48 binary64)))))))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
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(+.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 (*.f64 b #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 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 (+.f64 (/.f64 (*.f64 (exp.f64 a) #s(literal -1/2 binary64)) (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))))
(/ 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 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal -3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))))))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 (*.f64 a (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 (*.f64 a (-.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (+.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) #s(literal 2/3 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal -3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))))))
(/ (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 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) #s(literal -1/2 binary64)))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(+.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 b (-.f64 (*.f64 b (-.f64 (+.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) #s(literal -1/2 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 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 (/.f64 (*.f64 (exp.f64 a) #s(literal -1/2 binary64)) (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)))
4
#s(literal 4 binary64)
(+ 4 (* 4 b))
(+.f64 #s(literal 4 binary64) (*.f64 b #s(literal 4 binary64)))
(+ 4 (* b (+ 4 (* 3 b))))
(+.f64 #s(literal 4 binary64) (*.f64 b (+.f64 #s(literal 4 binary64) (*.f64 b #s(literal 3 binary64)))))
(+ 4 (* b (+ 4 (* b (+ 3 (* 5/3 b))))))
(+.f64 #s(literal 4 binary64) (*.f64 b (+.f64 #s(literal 4 binary64) (*.f64 b (+.f64 #s(literal 3 binary64) (*.f64 b #s(literal 5/3 binary64)))))))
(pow (+ 1 (exp b)) 2)
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))
(pow (+ 1 (exp b)) 2)
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))
(pow (+ 1 (exp b)) 2)
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))
(pow (+ 1 (exp b)) 2)
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))
(pow (+ 1 (exp b)) 2)
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))
(pow (+ 1 (exp b)) 2)
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))
(pow (+ 1 (exp b)) 2)
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))
(pow (+ 1 (exp b)) 2)
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (+ a (exp b)))
(+.f64 #s(literal 1 binary64) (+.f64 a (exp.f64 b)))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a)))))
(+ 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 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (+.f64 #s(literal 1 binary64) (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))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))

eval139.0ms (1.7%)

Compiler

Compiled 31638 to 3105 computations (90.2% saved)

prune146.0ms (1.8%)

Pruning

14 alts after pruning (12 fresh and 2 done)

PrunedKeptTotal
New1167121179
Fresh000
Picked224
Done000
Total1169141183
Accuracy
100.0%
Counts
1183 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓66.4%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
65.0%
(/.f64 (exp.f64 a) #s(literal 2 binary64))
36.7%
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
53.1%
(/.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))))))))
▶49.3%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))
✓80.0%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
36.2%
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) #s(literal -1/480 binary64)))))))
35.6%
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 b b)))))
38.9%
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))))))
▶38.9%
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a #s(literal -1/48 binary64))))))
▶38.9%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
36.5%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))
▶80.0%
(exp.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 b))))
▶38.6%
#s(literal 1/2 binary64)
Compiler

Compiled 281 to 216 computations (23.1% saved)

simplify15.0ms (0.2%)

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 a (*.f64 a #s(literal -1/48 binary64)))
✓cost-diff0
(+.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
✓cost-diff0
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a #s(literal -1/48 binary64)))))
✓cost-diff0
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a #s(literal -1/48 binary64))))))
✓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 b)
✓cost-diff0
(log1p.f64 (exp.f64 b))
✓cost-diff0
(-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 b)))
✓cost-diff12672
(exp.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 b))))
Rules
140×fma-define
132×fma-lowering-fma.f32
132×fma-lowering-fma.f64
96×*-lowering-*.f32
96×*-lowering-*.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
025105
15990
211789
318989
422989
523789
624389
724989
825389
025389
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(exp (- 0 (log (+ 1 (exp b)))))
(- 0 (log (+ 1 (exp b))))
0
(log (+ 1 (exp b)))
(exp b)
b
1/2
(+ 1/2 (* 1/4 a))
1/2
(* 1/4 a)
1/4
a
(+ 1/2 (* a (+ 1/4 (* a (* a -1/48)))))
1/2
(* a (+ 1/4 (* a (* a -1/48))))
a
(+ 1/4 (* a (* a -1/48)))
1/4
(* a (* a -1/48))
(* a -1/48)
-1/48
(/ 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
(exp (- 0 (log (+ 1 (exp b)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(- 0 (log (+ 1 (exp b))))
(-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 b)))
0
#s(literal 0 binary64)
(log (+ 1 (exp b)))
(log1p.f64 (exp.f64 b))
(exp b)
(exp.f64 b)
b
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 a))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
1/2
#s(literal 1/2 binary64)
(* 1/4 a)
(*.f64 #s(literal 1/4 binary64) a)
1/4
#s(literal 1/4 binary64)
a
(+ 1/2 (* a (+ 1/4 (* a (* a -1/48)))))
(+.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
#s(literal 1/2 binary64)
(* a (+ 1/4 (* a (* a -1/48))))
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a #s(literal -1/48 binary64)))))
a
(+ 1/4 (* a (* a -1/48)))
(+.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
1/4
#s(literal 1/4 binary64)
(* a (* a -1/48))
(*.f64 a (*.f64 a #s(literal -1/48 binary64)))
(* a -1/48)
(*.f64 a #s(literal -1/48 binary64))
-1/48
#s(literal -1/48 binary64)
(/ 1 (+ 2 (* b (+ 1 (* 1/2 b)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))))
1
#s(literal 1 binary64)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))
2
#s(literal 2 binary64)
(* b (+ 1 (* 1/2 b)))
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))
b
(+ 1 (* 1/2 b))
(+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))
(* 1/2 b)
(*.f64 b #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)

localize277.0ms (3.4%)

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)))
✓accuracy99.1%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))
✓accuracy100.0%
(+.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
✓accuracy100.0%
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a #s(literal -1/48 binary64)))))
✓accuracy99.8%
(*.f64 a (*.f64 a #s(literal -1/48 binary64)))
✓accuracy99.7%
(*.f64 a #s(literal -1/48 binary64))
✓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%
(-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 b)))
✓accuracy100.0%
(exp.f64 b)
✓accuracy100.0%
(exp.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 b))))
✓accuracy98.9%
(log1p.f64 (exp.f64 b))
Results
125.0ms68×5exit
60.0ms44×2valid
57.0ms144×0valid
Compiler

Compiled 111 to 25 computations (77.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 121.0ms
backward-pass: 32.0ms (26.4% of total)
compiled-spec: 21.0ms (17.4% of total)
ival-mult: 14.0ms (11.6% of total)
ival-exp: 13.0ms (10.7% of total)
ival-add: 13.0ms (10.7% of total)
ival-log: 12.0ms (9.9% of total)
...c/correct-round.rkt:119:19: 6.0ms (5% of total)
ival-sub: 4.0ms (3.3% of total)
ival-div: 3.0ms (2.5% of total)
const: 2.0ms (1.7% of total)

series70.0ms (0.8%)

Counts
16 → 192
Calls
Call 1
Inputs
#<alt (exp (- 0 (log (+ 1 (exp b)))))>
#<alt (- 0 (log (+ 1 (exp b))))>
#<alt (log (+ 1 (exp b)))>
#<alt (exp b)>
#<alt (+ 1/2 (* 1/4 a))>
#<alt (* 1/4 a)>
#<alt (+ 1/2 (* a (+ 1/4 (* a (* a -1/48)))))>
#<alt (* a (+ 1/4 (* a (* a -1/48))))>
#<alt (+ 1/4 (* a (* a -1/48)))>
#<alt (* a (* a -1/48))>
#<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 -1/48)>
#<alt (* 1/2 b)>
Outputs
#<alt (exp (neg (log 2)))>
#<alt (+ (exp (neg (log 2))) (* -1/2 (* b (exp (neg (log 2))))))>
#<alt (+ (exp (neg (log 2))) (* b (+ (* -1/2 (exp (neg (log 2)))) (* 1/24 (* (pow b 2) (exp (neg (log 2))))))))>
#<alt (+ (exp (neg (log 2))) (* b (+ (* -1/2 (exp (neg (log 2)))) (* (pow b 2) (+ (* -1/240 (* (pow b 2) (exp (neg (log 2))))) (* 1/24 (exp (neg (log 2)))))))))>
#<alt (exp (neg (log (+ 1 (exp b)))))>
#<alt (exp (neg (log (+ 1 (exp b)))))>
#<alt (exp (neg (log (+ 1 (exp b)))))>
#<alt (exp (neg (log (+ 1 (exp b)))))>
#<alt (exp (neg (log (+ 1 (exp b)))))>
#<alt (exp (neg (log (+ 1 (exp b)))))>
#<alt (exp (neg (log (+ 1 (exp b)))))>
#<alt (exp (neg (log (+ 1 (exp b)))))>
#<alt (* -1 (log 2))>
#<alt (- (* -1/2 b) (log 2))>
#<alt (- (* b (- (* -1/8 b) 1/2)) (log 2))>
#<alt (- (* b (- (* b (- (* 1/192 (pow b 2)) 1/8)) 1/2)) (log 2))>
#<alt (* -1 (log (+ 1 (exp b))))>
#<alt (* -1 (log (+ 1 (exp b))))>
#<alt (* -1 (log (+ 1 (exp b))))>
#<alt (* -1 (log (+ 1 (exp b))))>
#<alt (* -1 (log (+ 1 (exp b))))>
#<alt (* -1 (log (+ 1 (exp b))))>
#<alt (* -1 (log (+ 1 (exp b))))>
#<alt (* -1 (log (+ 1 (exp b))))>
#<alt (log 2)>
#<alt (+ (log 2) (* 1/2 b))>
#<alt (+ (log 2) (* b (+ 1/2 (* 1/8 b))))>
#<alt (+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))))>
#<alt (log (+ 1 (exp b)))>
#<alt (log (+ 1 (exp b)))>
#<alt (log (+ 1 (exp b)))>
#<alt (log (+ 1 (exp b)))>
#<alt (log (+ 1 (exp b)))>
#<alt (log (+ 1 (exp b)))>
#<alt (log (+ 1 (exp b)))>
#<alt (log (+ 1 (exp b)))>
#<alt 1>
#<alt (+ 1 b)>
#<alt (+ 1 (* b (+ 1 (* 1/2 b))))>
#<alt (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 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 (* -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 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
34.0ms
b
@inf
(exp (- 0 (log (+ 1 (exp b)))))
23.0ms
b
@-inf
(exp (- 0 (log (+ 1 (exp b)))))
1.0ms
b
@0
(exp (- 0 (log (+ 1 (exp b)))))
0.0ms
a
@-inf
(+ 1/2 (* a (+ 1/4 (* a (* a -1/48)))))
0.0ms
a
@inf
(+ 1/2 (* a (+ 1/4 (* a (* a -1/48)))))

rewrite301.0ms (3.6%)

Algorithm
1×batch-egg-rewrite
Rules
3578×/-lowering-/.f32
3578×/-lowering-/.f64
3508×*-lowering-*.f32
3508×*-lowering-*.f64
1870×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02591
115376
2128275
0864175
Stop Event
1×iter limit
1×node limit
Counts
16 → 423
Calls
Call 1
Inputs
(exp (- 0 (log (+ 1 (exp b)))))
(- 0 (log (+ 1 (exp b))))
(log (+ 1 (exp b)))
(exp b)
(+ 1/2 (* 1/4 a))
(* 1/4 a)
(+ 1/2 (* a (+ 1/4 (* a (* a -1/48)))))
(* a (+ 1/4 (* a (* a -1/48))))
(+ 1/4 (* a (* a -1/48)))
(* a (* a -1/48))
(/ 1 (+ 2 (* b (+ 1 (* 1/2 b)))))
(+ 2 (* b (+ 1 (* 1/2 b))))
(* b (+ 1 (* 1/2 b)))
(+ 1 (* 1/2 b))
(* a -1/48)
(* 1/2 b)
Outputs
(exp.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 b))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 b)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 2 binary64))))) (/.f64 (exp.f64 b) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 2 binary64))))))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (/.f64 (exp.f64 b) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) (expm1.f64 b))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) (expm1.f64 b)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 b))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 2 binary64))))))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log1p.f64 (exp.f64 b)))
(pow.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log1p.f64 (exp.f64 b)) #s(literal 3 binary64)))) (pow.f64 (log1p.f64 (exp.f64 b)) #s(literal -2 binary64)))
(pow.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log1p.f64 (exp.f64 b)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 b))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) (expm1.f64 b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64))))))
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal 1 binary64))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) (expm1.f64 b)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal -1 binary64)))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 b))))
(+.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 b))) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 b)))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(fma.f64 #s(literal -1 binary64) (log1p.f64 (exp.f64 b)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log1p.f64 (exp.f64 b)) #s(literal 3 binary64))) (pow.f64 (log1p.f64 (exp.f64 b)) #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log1p.f64 (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 b))) #s(literal 0 binary64))
(neg.f64 (log1p.f64 (exp.f64 b)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 b)))) #s(literal 1 binary64)))
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(/.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 b #s(literal 1/2 binary64)) (+.f64 (*.f64 b #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 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 b #s(literal 1/2 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) 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 b #s(literal 1/2 binary64)) (+.f64 (*.f64 b #s(literal 1/2 binary64)) #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 b #s(literal 1/2 binary64)) (+.f64 (*.f64 b #s(literal 1/2 binary64)) #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 b #s(literal 1/2 binary64)))
(+.f64 (*.f64 b #s(literal 1/2 binary64)) #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 b #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
(fma.f64 (*.f64 b #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) #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 b #s(literal 1/2 binary64)) #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 b #s(literal 1/2 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 b #s(literal 1/2 binary64)) (+.f64 (*.f64 b #s(literal 1/2 binary64)) #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 b #s(literal 1/2 binary64)) (+.f64 (*.f64 b #s(literal 1/2 binary64)) #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 b #s(literal 1/2 binary64)) #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 b #s(literal 1/2 binary64)) (+.f64 (*.f64 b #s(literal 1/2 binary64)) #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 b #s(literal 1/2 binary64)) (+.f64 (*.f64 b #s(literal 1/2 binary64)) #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 b #s(literal 1/2 binary64)) (+.f64 (*.f64 b #s(literal 1/2 binary64)) #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 b #s(literal 1/2 binary64)) #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)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))
(*.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 b #s(literal 1/2 binary64)) (+.f64 (*.f64 b #s(literal 1/2 binary64)) #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 b #s(literal 1/2 binary64)) (+.f64 (*.f64 b #s(literal 1/2 binary64)) #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 b #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(*.f64 a #s(literal -1/48 binary64))
(*.f64 #s(literal -1/48 binary64) a)
(*.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))
(*.f64 b #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) b)
(*.f64 (*.f64 b #s(literal 1/2 binary64)) #s(literal 1 binary64))

simplify208.0ms (2.5%)

Algorithm
1×egg-herbie
Rules
3826×*-lowering-*.f32
3826×*-lowering-*.f64
1806×+-lowering-+.f64
1806×+-lowering-+.f32
1484×/-lowering-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01671195
1474970
21472963
34941926
08359926
Stop Event
1×iter limit
1×node limit
Counts
192 → 192
Calls
Call 1
Inputs
(exp (neg (log 2)))
(+ (exp (neg (log 2))) (* -1/2 (* b (exp (neg (log 2))))))
(+ (exp (neg (log 2))) (* b (+ (* -1/2 (exp (neg (log 2)))) (* 1/24 (* (pow b 2) (exp (neg (log 2))))))))
(+ (exp (neg (log 2))) (* b (+ (* -1/2 (exp (neg (log 2)))) (* (pow b 2) (+ (* -1/240 (* (pow b 2) (exp (neg (log 2))))) (* 1/24 (exp (neg (log 2)))))))))
(exp (neg (log (+ 1 (exp b)))))
(exp (neg (log (+ 1 (exp b)))))
(exp (neg (log (+ 1 (exp b)))))
(exp (neg (log (+ 1 (exp b)))))
(exp (neg (log (+ 1 (exp b)))))
(exp (neg (log (+ 1 (exp b)))))
(exp (neg (log (+ 1 (exp b)))))
(exp (neg (log (+ 1 (exp b)))))
(* -1 (log 2))
(- (* -1/2 b) (log 2))
(- (* b (- (* -1/8 b) 1/2)) (log 2))
(- (* b (- (* b (- (* 1/192 (pow b 2)) 1/8)) 1/2)) (log 2))
(* -1 (log (+ 1 (exp b))))
(* -1 (log (+ 1 (exp b))))
(* -1 (log (+ 1 (exp b))))
(* -1 (log (+ 1 (exp b))))
(* -1 (log (+ 1 (exp b))))
(* -1 (log (+ 1 (exp b))))
(* -1 (log (+ 1 (exp b))))
(* -1 (log (+ 1 (exp b))))
(log 2)
(+ (log 2) (* 1/2 b))
(+ (log 2) (* b (+ 1/2 (* 1/8 b))))
(+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))))
(log (+ 1 (exp b)))
(log (+ 1 (exp b)))
(log (+ 1 (exp b)))
(log (+ 1 (exp b)))
(log (+ 1 (exp b)))
(log (+ 1 (exp b)))
(log (+ 1 (exp b)))
(log (+ 1 (exp b)))
1
(+ 1 b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
1/2
(+ 1/2 (* 1/4 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)))
(* -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 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
(exp (neg (log 2)))
#s(literal 1/2 binary64)
(+ (exp (neg (log 2))) (* -1/2 (* b (exp (neg (log 2))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64)))
(+ (exp (neg (log 2))) (* b (+ (* -1/2 (exp (neg (log 2)))) (* 1/24 (* (pow b 2) (exp (neg (log 2))))))))
(+.f64 (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 b b) #s(literal 1/48 binary64)))) #s(literal 1/2 binary64))
(+ (exp (neg (log 2))) (* b (+ (* -1/2 (exp (neg (log 2)))) (* (pow b 2) (+ (* -1/240 (* (pow b 2) (exp (neg (log 2))))) (* 1/24 (exp (neg (log 2)))))))))
(+.f64 (*.f64 b (+.f64 (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) #s(literal -1/480 binary64)) #s(literal 1/48 binary64))) #s(literal -1/4 binary64))) #s(literal 1/2 binary64))
(exp (neg (log (+ 1 (exp b)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(exp (neg (log (+ 1 (exp b)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(exp (neg (log (+ 1 (exp b)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(exp (neg (log (+ 1 (exp b)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(exp (neg (log (+ 1 (exp b)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(exp (neg (log (+ 1 (exp b)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(exp (neg (log (+ 1 (exp b)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(exp (neg (log (+ 1 (exp b)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(* -1 (log 2))
(-.f64 #s(literal 0 binary64) (log.f64 #s(literal 2 binary64)))
(- (* -1/2 b) (log 2))
(-.f64 (*.f64 #s(literal -1/2 binary64) b) (log.f64 #s(literal 2 binary64)))
(- (* b (- (* -1/8 b) 1/2)) (log 2))
(-.f64 (*.f64 b (+.f64 #s(literal -1/2 binary64) (*.f64 b #s(literal -1/8 binary64)))) (log.f64 #s(literal 2 binary64)))
(- (* b (- (* b (- (* 1/192 (pow b 2)) 1/8)) 1/2)) (log 2))
(-.f64 (*.f64 b (+.f64 #s(literal -1/2 binary64) (*.f64 b (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 b b) #s(literal 1/192 binary64)))))) (log.f64 #s(literal 2 binary64)))
(* -1 (log (+ 1 (exp b))))
(-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 b)))
(* -1 (log (+ 1 (exp b))))
(-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 b)))
(* -1 (log (+ 1 (exp b))))
(-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 b)))
(* -1 (log (+ 1 (exp b))))
(-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 b)))
(* -1 (log (+ 1 (exp b))))
(-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 b)))
(* -1 (log (+ 1 (exp b))))
(-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 b)))
(* -1 (log (+ 1 (exp b))))
(-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 b)))
(* -1 (log (+ 1 (exp b))))
(-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 b)))
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* 1/2 b))
(+.f64 (log.f64 #s(literal 2 binary64)) (/.f64 b #s(literal 2 binary64)))
(+ (log 2) (* b (+ 1/2 (* 1/8 b))))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/8 binary64)))))
(+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 b b) #s(literal -1/192 binary64)))))))
(log (+ 1 (exp b)))
(log1p.f64 (exp.f64 b))
(log (+ 1 (exp b)))
(log1p.f64 (exp.f64 b))
(log (+ 1 (exp b)))
(log1p.f64 (exp.f64 b))
(log (+ 1 (exp b)))
(log1p.f64 (exp.f64 b))
(log (+ 1 (exp b)))
(log1p.f64 (exp.f64 b))
(log (+ 1 (exp b)))
(log1p.f64 (exp.f64 b))
(log (+ 1 (exp b)))
(log1p.f64 (exp.f64 b))
(log (+ 1 (exp b)))
(log1p.f64 (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 b #s(literal 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)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 a))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
(+ 1/2 (* 1/4 a))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
(+ 1/2 (* 1/4 a))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
(* 1/4 a)
(*.f64 #s(literal 1/4 binary64) a)
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
(* 1/4 a)
(*.f64 #s(literal 1/4 binary64) a)
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
(* 1/4 a)
(*.f64 #s(literal 1/4 binary64) a)
(* 1/4 a)
(*.f64 #s(literal 1/4 binary64) a)
(* 1/4 a)
(*.f64 #s(literal 1/4 binary64) a)
(* 1/4 a)
(*.f64 #s(literal 1/4 binary64) a)
(* 1/4 a)
(*.f64 #s(literal 1/4 binary64) a)
(* 1/4 a)
(*.f64 #s(literal 1/4 binary64) a)
(* 1/4 a)
(*.f64 #s(literal 1/4 binary64) a)
(* 1/4 a)
(*.f64 #s(literal 1/4 binary64) a)
(* 1/4 a)
(*.f64 #s(literal 1/4 binary64) a)
(* 1/4 a)
(*.f64 #s(literal 1/4 binary64) a)
(* 1/4 a)
(*.f64 #s(literal 1/4 binary64) a)
(* 1/4 a)
(*.f64 #s(literal 1/4 binary64) a)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 a))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
(+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
(+ 1/2 (* a (+ 1/4 (* -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 #s(literal -1/48 binary64) (*.f64 a (*.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 a (+.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 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 a (*.f64 a (+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a a))))))))
(* -1/48 (pow a 3))
(*.f64 #s(literal -1/48 binary64) (*.f64 a (*.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 (*.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 #s(literal 1/4 binary64) a)
(* a (+ 1/4 (* -1/48 (pow a 2))))
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a))))
(* a (+ 1/4 (* -1/48 (pow a 2))))
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a))))
(* a (+ 1/4 (* -1/48 (pow a 2))))
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a))))
(* -1/48 (pow a 3))
(*.f64 #s(literal -1/48 binary64) (*.f64 a (*.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) (- (* 1/4 (/ 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) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a))))
(* -1/48 (pow a 3))
(*.f64 #s(literal -1/48 binary64) (*.f64 a (*.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 (* 1/4 (/ 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 (* 1/4 (/ 1 (pow a 2))))))
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a))))
1/4
#s(literal 1/4 binary64)
(+ 1/4 (* -1/48 (pow a 2)))
(+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))
(+ 1/4 (* -1/48 (pow a 2)))
(+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))
(+ 1/4 (* -1/48 (pow a 2)))
(+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 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) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 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) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(+.f64 #s(literal 1/4 binary64) (*.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))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 b))
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64)))
(+ 1/2 (* b (- (* 1/16 (pow b 2)) 1/4)))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 b b) #s(literal 1/16 binary64)))))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/16 (* -1/32 b))) 1/4)))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/16 binary64) (*.f64 b #s(literal -1/32 binary64)))))))
(/ 2 (pow b 2))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(/ (- 2 (* 4 (/ 1 b))) (pow b 2))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b)) (*.f64 b b))
(/ (- (+ 2 (/ 16 (pow b 3))) (* 4 (/ 1 b))) (pow b 2))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 #s(literal -16 binary64) (*.f64 b b))) b)) (*.f64 b b))
(/ (- (+ 2 (/ 16 (pow b 3))) (+ (* 4 (/ 1 b)) (* 32 (/ 1 (pow b 4))))) (pow b 2))
(/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 #s(literal -16 binary64) (*.f64 b b))) b)) (/.f64 #s(literal -32 binary64) (*.f64 (*.f64 b (*.f64 b 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 #s(literal -4 binary64) (/.f64 #s(literal -16 binary64) (*.f64 b b))) b)) (*.f64 b b))
(/ (+ 2 (* -1 (/ (- (+ 4 (/ 32 (pow b 3))) (* 16 (/ 1 (pow b 2)))) b))) (pow b 2))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 32 binary64) (*.f64 b (*.f64 b b))) (-.f64 #s(literal -4 binary64) (/.f64 #s(literal -16 binary64) (*.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 b #s(literal 2 binary64)))))
(+ 2 (* b (+ 1 (* 1/2 b))))
(+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 b #s(literal 2 binary64)))))
(* 1/2 (pow b 2))
(/.f64 (*.f64 b b) #s(literal 2 binary64))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 b #s(literal 2 binary64))))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(*.f64 b (+.f64 (/.f64 b #s(literal 2 binary64)) (+.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 b #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) b))))
(* 1/2 (pow b 2))
(/.f64 (*.f64 b b) #s(literal 2 binary64))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 b #s(literal 2 binary64))))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(*.f64 b (+.f64 (/.f64 b #s(literal 2 binary64)) (+.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 b #s(literal 2 binary64)) (+.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 b #s(literal 2 binary64))))
(* b (+ 1 (* 1/2 b)))
(*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 b #s(literal 2 binary64))))
(* b (+ 1 (* 1/2 b)))
(*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 b #s(literal 2 binary64))))
(* 1/2 (pow b 2))
(/.f64 (*.f64 b b) #s(literal 2 binary64))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 b #s(literal 2 binary64))))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 b #s(literal 2 binary64))))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 b #s(literal 2 binary64))))
(* 1/2 (pow b 2))
(/.f64 (*.f64 b b) #s(literal 2 binary64))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 b #s(literal 2 binary64))))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 b #s(literal 2 binary64))))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 b #s(literal 2 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 b))
(+.f64 #s(literal 1 binary64) (/.f64 b #s(literal 2 binary64)))
(+ 1 (* 1/2 b))
(+.f64 #s(literal 1 binary64) (/.f64 b #s(literal 2 binary64)))
(+ 1 (* 1/2 b))
(+.f64 #s(literal 1 binary64) (/.f64 b #s(literal 2 binary64)))
(* 1/2 b)
(/.f64 b #s(literal 2 binary64))
(* b (+ 1/2 (/ 1 b)))
(+.f64 #s(literal 1 binary64) (/.f64 b #s(literal 2 binary64)))
(* b (+ 1/2 (/ 1 b)))
(+.f64 #s(literal 1 binary64) (/.f64 b #s(literal 2 binary64)))
(* b (+ 1/2 (/ 1 b)))
(+.f64 #s(literal 1 binary64) (/.f64 b #s(literal 2 binary64)))
(* 1/2 b)
(/.f64 b #s(literal 2 binary64))
(* b (+ 1/2 (/ 1 b)))
(+.f64 #s(literal 1 binary64) (/.f64 b #s(literal 2 binary64)))
(* b (+ 1/2 (/ 1 b)))
(+.f64 #s(literal 1 binary64) (/.f64 b #s(literal 2 binary64)))
(* b (+ 1/2 (/ 1 b)))
(+.f64 #s(literal 1 binary64) (/.f64 b #s(literal 2 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))
(* -1/48 a)
(*.f64 a #s(literal -1/48 binary64))
(* 1/2 b)
(/.f64 b #s(literal 2 binary64))
(* 1/2 b)
(/.f64 b #s(literal 2 binary64))
(* 1/2 b)
(/.f64 b #s(literal 2 binary64))
(* 1/2 b)
(/.f64 b #s(literal 2 binary64))
(* 1/2 b)
(/.f64 b #s(literal 2 binary64))
(* 1/2 b)
(/.f64 b #s(literal 2 binary64))
(* 1/2 b)
(/.f64 b #s(literal 2 binary64))
(* 1/2 b)
(/.f64 b #s(literal 2 binary64))
(* 1/2 b)
(/.f64 b #s(literal 2 binary64))
(* 1/2 b)
(/.f64 b #s(literal 2 binary64))
(* 1/2 b)
(/.f64 b #s(literal 2 binary64))
(* 1/2 b)
(/.f64 b #s(literal 2 binary64))

eval71.0ms (0.9%)

Compiler

Compiled 13703 to 1705 computations (87.6% saved)

prune77.0ms (0.9%)

Pruning

25 alts after pruning (20 fresh and 5 done)

PrunedKeptTotal
New59817615
Fresh437
Picked235
Done022
Total60425629
Accuracy
100.0%
Counts
629 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
41.9%
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 b b) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))))
38.8%
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/16 binary64) (*.f64 a a))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) a)))
38.2%
(/.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) #s(literal -2 binary64)))) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) (*.f64 (*.f64 b b) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))))))
15.5%
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b)) (*.f64 b b))
36.4%
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) #s(literal -2 binary64))) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) #s(literal -2 binary64)))))) (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) (*.f64 (*.f64 b b) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) #s(literal -2 binary64))))))
✓66.4%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
65.0%
(/.f64 (exp.f64 a) #s(literal 2 binary64))
16.2%
(/.f64 #s(literal 2 binary64) (*.f64 b b))
35.7%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (*.f64 b b) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))) (*.f64 (*.f64 b b) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 b b) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))) (-.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))))))
▶48.9%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 b b) #s(literal 2 binary64))))
▶49.3%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))))
53.1%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
✓80.0%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
36.2%
(+.f64 (*.f64 b (+.f64 (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) #s(literal -1/480 binary64)) #s(literal 1/48 binary64))) #s(literal -1/4 binary64))) #s(literal 1/2 binary64))
35.6%
(+.f64 (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 b b) #s(literal 1/48 binary64)))) #s(literal 1/2 binary64))
38.9%
(+.f64 (*.f64 #s(literal 1/4 binary64) a) (+.f64 (*.f64 (*.f64 a #s(literal -1/48 binary64)) (*.f64 a a)) #s(literal 1/2 binary64)))
36.5%
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64)))
▶38.9%
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))))))
✓38.9%
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a #s(literal -1/48 binary64))))))
✓38.9%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
16.3%
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a a))))))))
▶3.6%
(*.f64 #s(literal 1/4 binary64) a)
13.7%
(*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a)))
▶80.0%
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
✓38.6%
#s(literal 1/2 binary64)
Compiler

Compiled 890 to 477 computations (46.4% saved)

simplify41.0ms (0.5%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64))))
✓cost-diff0
(+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))))
✓cost-diff0
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64))))))
✓cost-diff0
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))
✓cost-diff128
(/.f64 b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))
✓cost-diff128
(+.f64 #s(literal 2 binary64) (/.f64 b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))))
✓cost-diff128
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))))
✓cost-diff0
(*.f64 b b)
✓cost-diff0
(/.f64 (*.f64 b b) #s(literal 2 binary64))
✓cost-diff0
(+.f64 #s(literal 2 binary64) (/.f64 (*.f64 b b) #s(literal 2 binary64)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 b b) #s(literal 2 binary64))))
✓cost-diff0
(*.f64 #s(literal 1/4 binary64) a)
✓cost-diff-64
(neg.f64 (log1p.f64 (exp.f64 b)))
✓cost-diff0
(exp.f64 b)
✓cost-diff0
(log1p.f64 (exp.f64 b))
✓cost-diff12608
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
Rules
562×fma-define
492×fma-lowering-fma.f32
492×fma-lowering-fma.f64
206×*-lowering-*.f32
206×*-lowering-*.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
031154
175135
2188135
3418132
4638132
5800132
6842132
7847132
8853132
9857132
0857132
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(exp (neg (log (+ 1 (exp b)))))
(neg (log (+ 1 (exp b))))
(log (+ 1 (exp b)))
(exp b)
b
(* 1/4 a)
1/4
a
(/ 1 (+ 2 (/ (* b b) 2)))
1
(+ 2 (/ (* b b) 2))
2
(/ (* b b) 2)
(* b b)
b
(/ 1 (+ 2 (/ b (/ 1 (+ 1 (* b 1/2))))))
1
(+ 2 (/ b (/ 1 (+ 1 (* b 1/2)))))
2
(/ b (/ 1 (+ 1 (* b 1/2))))
b
(/ 1 (+ 1 (* b 1/2)))
(+ 1 (* b 1/2))
(* b 1/2)
1/2
(+ 1/2 (* a (+ 1/4 (* (* a a) (+ -1/48 (* (* a a) 1/480))))))
1/2
(* a (+ 1/4 (* (* a a) (+ -1/48 (* (* a a) 1/480)))))
a
(+ 1/4 (* (* a a) (+ -1/48 (* (* a a) 1/480))))
1/4
(* (* a a) (+ -1/48 (* (* a a) 1/480)))
(* a a)
(+ -1/48 (* (* a a) 1/480))
-1/48
(* (* a a) 1/480)
1/480
Outputs
(exp (neg (log (+ 1 (exp b)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(neg (log (+ 1 (exp b))))
(-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 b)))
(log (+ 1 (exp b)))
(log1p.f64 (exp.f64 b))
(exp b)
(exp.f64 b)
b
(* 1/4 a)
(*.f64 #s(literal 1/4 binary64) a)
1/4
#s(literal 1/4 binary64)
a
(/ 1 (+ 2 (/ (* b b) 2)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 b b) #s(literal 2 binary64))))
1
#s(literal 1 binary64)
(+ 2 (/ (* b b) 2))
(+.f64 #s(literal 2 binary64) (/.f64 (*.f64 b b) #s(literal 2 binary64)))
2
#s(literal 2 binary64)
(/ (* b b) 2)
(/.f64 (*.f64 b b) #s(literal 2 binary64))
(* b b)
(*.f64 b b)
b
(/ 1 (+ 2 (/ b (/ 1 (+ 1 (* b 1/2))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 b #s(literal 2 binary64))))))
1
#s(literal 1 binary64)
(+ 2 (/ b (/ 1 (+ 1 (* b 1/2)))))
(+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 b #s(literal 2 binary64)))))
2
#s(literal 2 binary64)
(/ b (/ 1 (+ 1 (* b 1/2))))
(*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 b #s(literal 2 binary64))))
b
(/ 1 (+ 1 (* b 1/2)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 b #s(literal 2 binary64))))
(+ 1 (* b 1/2))
(+.f64 #s(literal 1 binary64) (/.f64 b #s(literal 2 binary64)))
(* b 1/2)
(/.f64 b #s(literal 2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* a (+ 1/4 (* (* a a) (+ -1/48 (* (* a a) 1/480))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))))))
1/2
#s(literal 1/2 binary64)
(* a (+ 1/4 (* (* a a) (+ -1/48 (* (* a a) 1/480)))))
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))))))
a
(+ 1/4 (* (* a a) (+ -1/48 (* (* a a) 1/480))))
(+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))))
1/4
#s(literal 1/4 binary64)
(* (* a a) (+ -1/48 (* (* a a) 1/480)))
(*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))))
(* a a)
(*.f64 a a)
(+ -1/48 (* (* a a) 1/480))
(+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))
-1/48
#s(literal -1/48 binary64)
(* (* a a) 1/480)
(*.f64 a (*.f64 a #s(literal 1/480 binary64)))
1/480
#s(literal 1/480 binary64)

localize340.0ms (4.1%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))
✓accuracy100.0%
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64))))))
✓accuracy99.9%
(*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64))))
✓accuracy99.8%
(*.f64 (*.f64 a a) #s(literal 1/480 binary64))
✓accuracy100.0%
(*.f64 b #s(literal 1/2 binary64))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))
✓accuracy100.0%
(/.f64 b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))))
✓accuracy100.0%
(/.f64 (*.f64 b b) #s(literal 2 binary64))
✓accuracy100.0%
(+.f64 #s(literal 2 binary64) (/.f64 (*.f64 b b) #s(literal 2 binary64)))
✓accuracy100.0%
(*.f64 b b)
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 b b) #s(literal 2 binary64))))
✓accuracy100.0%
(*.f64 #s(literal 1/4 binary64) a)
✓accuracy100.0%
(neg.f64 (log1p.f64 (exp.f64 b)))
✓accuracy100.0%
(exp.f64 b)
✓accuracy100.0%
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
✓accuracy98.9%
(log1p.f64 (exp.f64 b))
Results
236.0ms112×5exit
60.0ms144×0valid
Compiler

Compiled 178 to 31 computations (82.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 138.0ms
backward-pass: 45.0ms (32.6% of total)
...c/correct-round.rkt:119:19: 21.0ms (15.2% of total)
ival-mult: 17.0ms (12.3% of total)
ival-div: 13.0ms (9.4% of total)
ival-add: 12.0ms (8.7% of total)
compiled-spec: 11.0ms (8% of total)
ival-exp: 9.0ms (6.5% of total)
ival-neg: 4.0ms (2.9% of total)
ival-log: 4.0ms (2.9% of total)
const: 1.0ms (0.7% of total)

series7.0ms (0.1%)

Counts
20 → 240
Calls
Call 1
Inputs
#<alt (exp (neg (log (+ 1 (exp b)))))>
#<alt (log (+ 1 (exp b)))>
#<alt (exp b)>
#<alt (neg (log (+ 1 (exp b))))>
#<alt (* 1/4 a)>
#<alt (/ 1 (+ 2 (/ (* b b) 2)))>
#<alt (+ 2 (/ (* b b) 2))>
#<alt (/ (* b b) 2)>
#<alt (* b b)>
#<alt (/ 1 (+ 2 (/ b (/ 1 (+ 1 (* b 1/2))))))>
#<alt (+ 2 (/ b (/ 1 (+ 1 (* b 1/2)))))>
#<alt (/ b (/ 1 (+ 1 (* b 1/2))))>
#<alt (/ 1 (+ 1 (* b 1/2)))>
#<alt (+ 1/2 (* a (+ 1/4 (* (* a a) (+ -1/48 (* (* a a) 1/480))))))>
#<alt (* a (+ 1/4 (* (* a a) (+ -1/48 (* (* a a) 1/480)))))>
#<alt (+ 1/4 (* (* a a) (+ -1/48 (* (* a a) 1/480))))>
#<alt (* (* a a) (+ -1/48 (* (* a a) 1/480)))>
#<alt (* b 1/2)>
#<alt (* (* a a) 1/480)>
#<alt (+ -1/48 (* (* a a) 1/480))>
Outputs
#<alt (exp (neg (log 2)))>
#<alt (+ (exp (neg (log 2))) (* -1/2 (* b (exp (neg (log 2))))))>
#<alt (+ (exp (neg (log 2))) (* b (+ (* -1/2 (exp (neg (log 2)))) (* 1/24 (* (pow b 2) (exp (neg (log 2))))))))>
#<alt (+ (exp (neg (log 2))) (* b (+ (* -1/2 (exp (neg (log 2)))) (* (pow b 2) (+ (* -1/240 (* (pow b 2) (exp (neg (log 2))))) (* 1/24 (exp (neg (log 2)))))))))>
#<alt (exp (neg (log (+ 1 (exp b)))))>
#<alt (exp (neg (log (+ 1 (exp b)))))>
#<alt (exp (neg (log (+ 1 (exp b)))))>
#<alt (exp (neg (log (+ 1 (exp b)))))>
#<alt (exp (neg (log (+ 1 (exp b)))))>
#<alt (exp (neg (log (+ 1 (exp b)))))>
#<alt (exp (neg (log (+ 1 (exp b)))))>
#<alt (exp (neg (log (+ 1 (exp b)))))>
#<alt (log 2)>
#<alt (+ (log 2) (* 1/2 b))>
#<alt (+ (log 2) (* b (+ 1/2 (* 1/8 b))))>
#<alt (+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))))>
#<alt (log (+ 1 (exp b)))>
#<alt (log (+ 1 (exp b)))>
#<alt (log (+ 1 (exp b)))>
#<alt (log (+ 1 (exp b)))>
#<alt (log (+ 1 (exp b)))>
#<alt (log (+ 1 (exp b)))>
#<alt (log (+ 1 (exp b)))>
#<alt (log (+ 1 (exp b)))>
#<alt 1>
#<alt (+ 1 b)>
#<alt (+ 1 (* b (+ 1 (* 1/2 b))))>
#<alt (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (* -1 (log 2))>
#<alt (- (* -1/2 b) (log 2))>
#<alt (- (* b (- (* -1/8 b) 1/2)) (log 2))>
#<alt (- (* b (- (* b (- (* 1/192 (pow b 2)) 1/8)) 1/2)) (log 2))>
#<alt (* -1 (log (+ 1 (exp b))))>
#<alt (* -1 (log (+ 1 (exp b))))>
#<alt (* -1 (log (+ 1 (exp b))))>
#<alt (* -1 (log (+ 1 (exp b))))>
#<alt (* -1 (log (+ 1 (exp b))))>
#<alt (* -1 (log (+ 1 (exp b))))>
#<alt (* -1 (log (+ 1 (exp b))))>
#<alt (* -1 (log (+ 1 (exp b))))>
#<alt (* 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 (* -1/8 (pow b 2)))>
#<alt (+ 1/2 (* (pow b 2) (- (* 1/32 (pow b 2)) 1/8)))>
#<alt (+ 1/2 (* (pow b 2) (- (* (pow b 2) (+ 1/32 (* -1/128 (pow b 2)))) 1/8)))>
#<alt (/ 2 (pow b 2))>
#<alt (/ (- 2 (* 8 (/ 1 (pow b 2)))) (pow b 2))>
#<alt (/ (- (+ 2 (/ 32 (pow b 4))) (* 8 (/ 1 (pow b 2)))) (pow b 2))>
#<alt (/ (- (+ 2 (/ 32 (pow b 4))) (+ (* 8 (/ 1 (pow b 2))) (* 128 (/ 1 (pow b 6))))) (pow b 2))>
#<alt (/ 2 (pow b 2))>
#<alt (/ (- 2 (* 8 (/ 1 (pow b 2)))) (pow b 2))>
#<alt (/ (- (+ 2 (/ 32 (pow b 4))) (* 8 (/ 1 (pow b 2)))) (pow b 2))>
#<alt (/ (- (+ 2 (/ 32 (pow b 4))) (+ (* 8 (/ 1 (pow b 2))) (* 128 (/ 1 (pow b 6))))) (pow b 2))>
#<alt 2>
#<alt (+ 2 (* 1/2 (pow b 2)))>
#<alt (+ 2 (* 1/2 (pow b 2)))>
#<alt (+ 2 (* 1/2 (pow b 2)))>
#<alt (* 1/2 (pow b 2))>
#<alt (* (pow b 2) (+ 1/2 (* 2 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1/2 (* 2 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1/2 (* 2 (/ 1 (pow b 2)))))>
#<alt (* 1/2 (pow b 2))>
#<alt (* (pow b 2) (+ 1/2 (* 2 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1/2 (* 2 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1/2 (* 2 (/ 1 (pow b 2)))))>
#<alt (* 1/2 (pow b 2))>
#<alt (* 1/2 (pow b 2))>
#<alt (* 1/2 (pow b 2))>
#<alt (* 1/2 (pow b 2))>
#<alt (* 1/2 (pow b 2))>
#<alt (* 1/2 (pow b 2))>
#<alt (* 1/2 (pow b 2))>
#<alt (* 1/2 (pow b 2))>
#<alt (* 1/2 (pow b 2))>
#<alt (* 1/2 (pow b 2))>
#<alt (* 1/2 (pow b 2))>
#<alt (* 1/2 (pow b 2))>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 b))>
#<alt (+ 1/2 (* b (- (* 1/16 (pow b 2)) 1/4)))>
#<alt (+ 1/2 (* b (- (* (pow b 2) (+ 1/16 (* -1/32 b))) 1/4)))>
#<alt (/ 2 (pow b 2))>
#<alt (/ (- 2 (* 4 (/ 1 b))) (pow b 2))>
#<alt (/ (- (+ 2 (/ 16 (pow b 3))) (* 4 (/ 1 b))) (pow b 2))>
#<alt (/ (- (+ 2 (/ 16 (pow b 3))) (+ (* 4 (/ 1 b)) (* 32 (/ 1 (pow b 4))))) (pow b 2))>
#<alt (/ 2 (pow b 2))>
#<alt (/ (- 2 (* 4 (/ 1 b))) (pow b 2))>
#<alt (/ (+ 2 (* -1 (/ (- 4 (* 16 (/ 1 (pow b 2)))) b))) (pow b 2))>
#<alt (/ (+ 2 (* -1 (/ (- (+ 4 (/ 32 (pow b 3))) (* 16 (/ 1 (pow b 2)))) b))) (pow b 2))>
#<alt 2>
#<alt (+ 2 b)>
#<alt (+ 2 (* b (+ 1 (* 1/2 b))))>
#<alt (+ 2 (* b (+ 1 (* 1/2 b))))>
#<alt (* 1/2 (pow b 2))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))>
#<alt (* 1/2 (pow b 2))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))>
#<alt 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 (* b (- (* 1/4 b) 1/2)))>
#<alt (+ 1 (* b (- (* b (+ 1/4 (* -1/8 b))) 1/2)))>
#<alt (/ 2 b)>
#<alt (/ (- 2 (* 4 (/ 1 b))) b)>
#<alt (/ (- (+ 2 (/ 8 (pow b 2))) (* 4 (/ 1 b))) b)>
#<alt (/ (- (+ 2 (/ 8 (pow b 2))) (+ (* 4 (/ 1 b)) (* 16 (/ 1 (pow b 3))))) b)>
#<alt (/ 2 b)>
#<alt (* -1 (/ (- (* 4 (/ 1 b)) 2) b))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 b)) 4) b)) 2) b))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 b)) 8) b)) 4) b)) 2) b))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 a))>
#<alt (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))>
#<alt (+ 1/2 (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))))>
#<alt (* 1/480 (pow a 5))>
#<alt (* (pow a 5) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))>
#<alt (* (pow a 5) (- (+ 1/480 (/ 1/4 (pow a 4))) (* 1/48 (/ 1 (pow a 2)))))>
#<alt (* (pow a 5) (- (+ 1/480 (+ (/ 1/4 (pow a 4)) (* 1/2 (/ 1 (pow a 5))))) (* 1/48 (/ 1 (pow a 2)))))>
#<alt (* 1/480 (pow a 5))>
#<alt (* -1 (* (pow a 5) (- (* 1/48 (/ 1 (pow a 2))) 1/480)))>
#<alt (* -1 (* (pow a 5) (- (* 1/48 (/ 1 (pow a 2))) (+ 1/480 (/ 1/4 (pow a 4))))))>
#<alt (* -1 (* (pow a 5) (- (+ (* -1 (/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 4))) (* 1/48 (/ 1 (pow a 2)))) 1/480)))>
#<alt (* 1/4 a)>
#<alt (* a (+ 1/4 (* -1/48 (pow a 2))))>
#<alt (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48))))>
#<alt (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48))))>
#<alt (* 1/480 (pow a 5))>
#<alt (* (pow a 5) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))>
#<alt (* (pow a 5) (- (+ 1/480 (/ 1/4 (pow a 4))) (* 1/48 (/ 1 (pow a 2)))))>
#<alt (* (pow a 5) (- (+ 1/480 (/ 1/4 (pow a 4))) (* 1/48 (/ 1 (pow a 2)))))>
#<alt (* 1/480 (pow a 5))>
#<alt (* -1 (* (pow a 5) (- (* 1/48 (/ 1 (pow a 2))) 1/480)))>
#<alt (* -1 (* (pow a 5) (- (* 1/48 (/ 1 (pow a 2))) (+ 1/480 (/ 1/4 (pow a 4))))))>
#<alt (* -1 (* (pow a 5) (- (* 1/48 (/ 1 (pow a 2))) (+ 1/480 (/ 1/4 (pow a 4))))))>
#<alt 1/4>
#<alt (+ 1/4 (* -1/48 (pow a 2)))>
#<alt (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))>
#<alt (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))>
#<alt (* 1/480 (pow a 4))>
#<alt (* (pow a 4) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))>
#<alt (* (pow a 4) (- (+ 1/480 (/ 1/4 (pow a 4))) (* 1/48 (/ 1 (pow a 2)))))>
#<alt (* (pow a 4) (- (+ 1/480 (/ 1/4 (pow a 4))) (* 1/48 (/ 1 (pow a 2)))))>
#<alt (* 1/480 (pow a 4))>
#<alt (* (pow a 4) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))>
#<alt (* (pow a 4) (- (+ 1/480 (/ 1/4 (pow a 4))) (* 1/48 (/ 1 (pow a 2)))))>
#<alt (* (pow a 4) (- (+ 1/480 (/ 1/4 (pow a 4))) (* 1/48 (/ 1 (pow a 2)))))>
#<alt (* -1/48 (pow a 2))>
#<alt (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48))>
#<alt (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48))>
#<alt (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48))>
#<alt (* 1/480 (pow a 4))>
#<alt (* (pow a 4) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))>
#<alt (* (pow a 4) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))>
#<alt (* (pow a 4) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))>
#<alt (* 1/480 (pow a 4))>
#<alt (* (pow a 4) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))>
#<alt (* (pow a 4) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))>
#<alt (* (pow a 4) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/480 (pow a 2))>
#<alt (* 1/480 (pow a 2))>
#<alt (* 1/480 (pow a 2))>
#<alt (* 1/480 (pow a 2))>
#<alt (* 1/480 (pow a 2))>
#<alt (* 1/480 (pow a 2))>
#<alt (* 1/480 (pow a 2))>
#<alt (* 1/480 (pow a 2))>
#<alt (* 1/480 (pow a 2))>
#<alt (* 1/480 (pow a 2))>
#<alt (* 1/480 (pow a 2))>
#<alt (* 1/480 (pow a 2))>
#<alt -1/48>
#<alt (- (* 1/480 (pow a 2)) 1/48)>
#<alt (- (* 1/480 (pow a 2)) 1/48)>
#<alt (- (* 1/480 (pow a 2)) 1/48)>
#<alt (* 1/480 (pow a 2))>
#<alt (* (pow a 2) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))>
#<alt (* (pow a 2) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))>
#<alt (* (pow a 2) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))>
#<alt (* 1/480 (pow a 2))>
#<alt (* (pow a 2) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))>
#<alt (* (pow a 2) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))>
#<alt (* (pow a 2) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))>
Calls

60 calls:

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

rewrite315.0ms (3.8%)

Algorithm
1×batch-egg-rewrite
Rules
3254×*-lowering-*.f32
3254×*-lowering-*.f64
3014×/-lowering-/.f32
3014×/-lowering-/.f64
2352×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
031132
1201112
21695111
08350111
Stop Event
1×iter limit
1×node limit
Counts
20 → 500
Calls
Call 1
Inputs
(exp (neg (log (+ 1 (exp b)))))
(log (+ 1 (exp b)))
(exp b)
(neg (log (+ 1 (exp b))))
(* 1/4 a)
(/ 1 (+ 2 (/ (* b b) 2)))
(+ 2 (/ (* b b) 2))
(/ (* b b) 2)
(* b b)
(/ 1 (+ 2 (/ b (/ 1 (+ 1 (* b 1/2))))))
(+ 2 (/ b (/ 1 (+ 1 (* b 1/2)))))
(/ b (/ 1 (+ 1 (* b 1/2))))
(/ 1 (+ 1 (* b 1/2)))
(+ 1/2 (* a (+ 1/4 (* (* a a) (+ -1/48 (* (* a a) 1/480))))))
(* a (+ 1/4 (* (* a a) (+ -1/48 (* (* a a) 1/480)))))
(+ 1/4 (* (* a a) (+ -1/48 (* (* a a) 1/480))))
(* (* a a) (+ -1/48 (* (* a a) 1/480)))
(* b 1/2)
(* (* a a) 1/480)
(+ -1/48 (* (* a a) 1/480))
Outputs
(exp.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 b))))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (log1p.f64 (exp.f64 b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 1 binary64))))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log1p.f64 (exp.f64 (*.f64 b #s(literal 3 binary64))))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log1p.f64 (*.f64 (exp.f64 b) (expm1.f64 b)))))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 2 binary64)))))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)))))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log1p.f64 (exp.f64 b)))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) (expm1.f64 b))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) (expm1.f64 b)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (exp.f64 b)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 2 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal -1 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+.f64 (log1p.f64 (exp.f64 (*.f64 b #s(literal 3 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) (expm1.f64 b))))))
(+.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 2 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 b)))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) (expm1.f64 b))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64)))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 2 binary64)))))))
(-.f64 (log1p.f64 (exp.f64 (*.f64 b #s(literal 3 binary64)))) (log1p.f64 (*.f64 (exp.f64 b) (expm1.f64 b))))
(-.f64 (log1p.f64 (exp.f64 (*.f64 b #s(literal 3 binary64)))) (log.f64 (+.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 b)))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 2 binary64))))) (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b))))
(-.f64 (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64)))))) (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) (expm1.f64 b))))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 2 binary64)))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)))))
(-.f64 (log.f64 (expm1.f64 (+.f64 b b))) (log.f64 (expm1.f64 b)))
(neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) (expm1.f64 b))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64)))))))
(neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 (*.f64 b #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 (exp.f64 b) (expm1.f64 b))) #s(literal 3 binary64))) (+.f64 (*.f64 (log1p.f64 (exp.f64 (*.f64 b #s(literal 3 binary64)))) (log1p.f64 (exp.f64 (*.f64 b #s(literal 3 binary64))))) (+.f64 (*.f64 (log1p.f64 (*.f64 (exp.f64 b) (expm1.f64 b))) (log1p.f64 (*.f64 (exp.f64 b) (expm1.f64 b)))) (*.f64 (log1p.f64 (exp.f64 (*.f64 b #s(literal 3 binary64)))) (log1p.f64 (*.f64 (exp.f64 b) (expm1.f64 b)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal 3 binary64))) (+.f64 (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 2 binary64))))) (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 2 binary64)))))) (+.f64 (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b))) (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)))) (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 2 binary64))))) (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)))))))
(log1p.f64 (exp.f64 b))
(exp.f64 b)
(pow.f64 (exp.f64 b) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 b))
(*.f64 (exp.f64 b) #s(literal 1 binary64))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 b))))
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64)))))) (log1p.f64 (*.f64 (exp.f64 b) (expm1.f64 b))))
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 2 binary64)))))) (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b))))
(-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 b)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 1 binary64))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log1p.f64 (exp.f64 b)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 b)))))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 b)) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log1p.f64 (exp.f64 b)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 b)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 b)))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 b)) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 b)))))
(neg.f64 (log1p.f64 (exp.f64 b)))
(neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log1p.f64 (exp.f64 b)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log1p.f64 (exp.f64 b)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 b))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log1p.f64 (exp.f64 b)) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 b))))
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(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log1p.f64 (exp.f64 b)) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 b)))))
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(/.f64 (neg.f64 (+.f64 #s(literal -1/110592 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/110592000 binary64))))) (neg.f64 (+.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/230400 binary64)) (-.f64 #s(literal 1/2304 binary64) (*.f64 #s(literal -1/23040 binary64) (*.f64 a a))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/230400 binary64)))) (neg.f64 (+.f64 #s(literal -1/48 binary64) (*.f64 #s(literal -1/480 binary64) (*.f64 a a)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/230400 binary64)) #s(literal 1/2304 binary64)) (-.f64 (*.f64 a (*.f64 a #s(literal 1/480 binary64))) #s(literal -1/48 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1/2304 binary64) (+.f64 #s(literal -1/48 binary64) (*.f64 #s(literal -1/480 binary64) (*.f64 a a)))) (*.f64 (+.f64 #s(literal -1/48 binary64) (*.f64 #s(literal -1/480 binary64) (*.f64 a a))) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/230400 binary64)))) (*.f64 (+.f64 #s(literal -1/48 binary64) (*.f64 #s(literal -1/480 binary64) (*.f64 a a))) (+.f64 #s(literal -1/48 binary64) (*.f64 #s(literal -1/480 binary64) (*.f64 a a)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1/110592 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/110592000 binary64)))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 a (*.f64 a #s(literal 1/480 binary64))) (-.f64 (*.f64 a (*.f64 a #s(literal 1/480 binary64))) #s(literal -1/48 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/230400 binary64))))) (neg.f64 (neg.f64 (+.f64 #s(literal -1/48 binary64) (*.f64 #s(literal -1/480 binary64) (*.f64 a a))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/230400 binary64)) #s(literal 1/2304 binary64))) (neg.f64 (-.f64 (*.f64 a (*.f64 a #s(literal 1/480 binary64))) #s(literal -1/48 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2304 binary64) (+.f64 #s(literal -1/48 binary64) (*.f64 #s(literal -1/480 binary64) (*.f64 a a)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/230400 binary64)) (+.f64 #s(literal -1/48 binary64) (*.f64 #s(literal -1/480 binary64) (*.f64 a a)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 1/2304 binary64) (+.f64 #s(literal -1/48 binary64) (*.f64 #s(literal -1/480 binary64) (*.f64 a a)))) (/.f64 #s(literal 1/2304 binary64) (+.f64 #s(literal -1/48 binary64) (*.f64 #s(literal -1/480 binary64) (*.f64 a a))))) (+.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/230400 binary64)) (+.f64 #s(literal -1/48 binary64) (*.f64 #s(literal -1/480 binary64) (*.f64 a a)))) (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/230400 binary64)) (+.f64 #s(literal -1/48 binary64) (*.f64 #s(literal -1/480 binary64) (*.f64 a a))))) (*.f64 (/.f64 #s(literal 1/2304 binary64) (+.f64 #s(literal -1/48 binary64) (*.f64 #s(literal -1/480 binary64) (*.f64 a a)))) (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/230400 binary64)) (+.f64 #s(literal -1/48 binary64) (*.f64 #s(literal -1/480 binary64) (*.f64 a a))))))))
(pow.f64 (/.f64 (+.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 a (*.f64 a #s(literal 1/480 binary64))) (-.f64 (*.f64 a (*.f64 a #s(literal 1/480 binary64))) #s(literal -1/48 binary64)))) (+.f64 #s(literal -1/110592 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/110592000 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal -1/48 binary64) (*.f64 #s(literal -1/480 binary64) (*.f64 a a))) (-.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/230400 binary64)))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal -1/110592 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/110592000 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 a (*.f64 a #s(literal 1/480 binary64))) (-.f64 (*.f64 a (*.f64 a #s(literal 1/480 binary64))) #s(literal -1/48 binary64))))))
(*.f64 (-.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/230400 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/48 binary64) (*.f64 #s(literal -1/480 binary64) (*.f64 a a)))))

simplify242.0ms (2.9%)

Algorithm
1×egg-herbie
Rules
2846×*-lowering-*.f32
2846×*-lowering-*.f64
2128×fma-lowering-fma.f32
2128×fma-lowering-fma.f64
1782×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02611773
17631474
222061441
360461441
082911441
Stop Event
1×iter limit
1×node limit
Counts
240 → 240
Calls
Call 1
Inputs
(exp (neg (log 2)))
(+ (exp (neg (log 2))) (* -1/2 (* b (exp (neg (log 2))))))
(+ (exp (neg (log 2))) (* b (+ (* -1/2 (exp (neg (log 2)))) (* 1/24 (* (pow b 2) (exp (neg (log 2))))))))
(+ (exp (neg (log 2))) (* b (+ (* -1/2 (exp (neg (log 2)))) (* (pow b 2) (+ (* -1/240 (* (pow b 2) (exp (neg (log 2))))) (* 1/24 (exp (neg (log 2)))))))))
(exp (neg (log (+ 1 (exp b)))))
(exp (neg (log (+ 1 (exp b)))))
(exp (neg (log (+ 1 (exp b)))))
(exp (neg (log (+ 1 (exp b)))))
(exp (neg (log (+ 1 (exp b)))))
(exp (neg (log (+ 1 (exp b)))))
(exp (neg (log (+ 1 (exp b)))))
(exp (neg (log (+ 1 (exp b)))))
(log 2)
(+ (log 2) (* 1/2 b))
(+ (log 2) (* b (+ 1/2 (* 1/8 b))))
(+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))))
(log (+ 1 (exp b)))
(log (+ 1 (exp b)))
(log (+ 1 (exp b)))
(log (+ 1 (exp b)))
(log (+ 1 (exp b)))
(log (+ 1 (exp b)))
(log (+ 1 (exp b)))
(log (+ 1 (exp b)))
1
(+ 1 b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(* -1 (log 2))
(- (* -1/2 b) (log 2))
(- (* b (- (* -1/8 b) 1/2)) (log 2))
(- (* b (- (* b (- (* 1/192 (pow b 2)) 1/8)) 1/2)) (log 2))
(* -1 (log (+ 1 (exp b))))
(* -1 (log (+ 1 (exp b))))
(* -1 (log (+ 1 (exp b))))
(* -1 (log (+ 1 (exp b))))
(* -1 (log (+ 1 (exp b))))
(* -1 (log (+ 1 (exp b))))
(* -1 (log (+ 1 (exp b))))
(* -1 (log (+ 1 (exp b))))
(* 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 (* -1/8 (pow b 2)))
(+ 1/2 (* (pow b 2) (- (* 1/32 (pow b 2)) 1/8)))
(+ 1/2 (* (pow b 2) (- (* (pow b 2) (+ 1/32 (* -1/128 (pow b 2)))) 1/8)))
(/ 2 (pow b 2))
(/ (- 2 (* 8 (/ 1 (pow b 2)))) (pow b 2))
(/ (- (+ 2 (/ 32 (pow b 4))) (* 8 (/ 1 (pow b 2)))) (pow b 2))
(/ (- (+ 2 (/ 32 (pow b 4))) (+ (* 8 (/ 1 (pow b 2))) (* 128 (/ 1 (pow b 6))))) (pow b 2))
(/ 2 (pow b 2))
(/ (- 2 (* 8 (/ 1 (pow b 2)))) (pow b 2))
(/ (- (+ 2 (/ 32 (pow b 4))) (* 8 (/ 1 (pow b 2)))) (pow b 2))
(/ (- (+ 2 (/ 32 (pow b 4))) (+ (* 8 (/ 1 (pow b 2))) (* 128 (/ 1 (pow b 6))))) (pow b 2))
2
(+ 2 (* 1/2 (pow b 2)))
(+ 2 (* 1/2 (pow b 2)))
(+ 2 (* 1/2 (pow b 2)))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (* 2 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1/2 (* 2 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1/2 (* 2 (/ 1 (pow b 2)))))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (* 2 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1/2 (* 2 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1/2 (* 2 (/ 1 (pow b 2)))))
(* 1/2 (pow b 2))
(* 1/2 (pow b 2))
(* 1/2 (pow b 2))
(* 1/2 (pow b 2))
(* 1/2 (pow b 2))
(* 1/2 (pow b 2))
(* 1/2 (pow b 2))
(* 1/2 (pow b 2))
(* 1/2 (pow b 2))
(* 1/2 (pow b 2))
(* 1/2 (pow b 2))
(* 1/2 (pow b 2))
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
1/2
(+ 1/2 (* -1/4 b))
(+ 1/2 (* b (- (* 1/16 (pow b 2)) 1/4)))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/16 (* -1/32 b))) 1/4)))
(/ 2 (pow b 2))
(/ (- 2 (* 4 (/ 1 b))) (pow b 2))
(/ (- (+ 2 (/ 16 (pow b 3))) (* 4 (/ 1 b))) (pow b 2))
(/ (- (+ 2 (/ 16 (pow b 3))) (+ (* 4 (/ 1 b)) (* 32 (/ 1 (pow b 4))))) (pow b 2))
(/ 2 (pow b 2))
(/ (- 2 (* 4 (/ 1 b))) (pow b 2))
(/ (+ 2 (* -1 (/ (- 4 (* 16 (/ 1 (pow b 2)))) b))) (pow b 2))
(/ (+ 2 (* -1 (/ (- (+ 4 (/ 32 (pow b 3))) (* 16 (/ 1 (pow b 2)))) b))) (pow b 2))
2
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* 1/2 b))))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
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 (* b (- (* 1/4 b) 1/2)))
(+ 1 (* b (- (* b (+ 1/4 (* -1/8 b))) 1/2)))
(/ 2 b)
(/ (- 2 (* 4 (/ 1 b))) b)
(/ (- (+ 2 (/ 8 (pow b 2))) (* 4 (/ 1 b))) b)
(/ (- (+ 2 (/ 8 (pow b 2))) (+ (* 4 (/ 1 b)) (* 16 (/ 1 (pow b 3))))) b)
(/ 2 b)
(* -1 (/ (- (* 4 (/ 1 b)) 2) b))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 b)) 4) b)) 2) b))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 b)) 8) b)) 4) b)) 2) b))
1/2
(+ 1/2 (* 1/4 a))
(+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))
(+ 1/2 (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))))
(* 1/480 (pow a 5))
(* (pow a 5) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))
(* (pow a 5) (- (+ 1/480 (/ 1/4 (pow a 4))) (* 1/48 (/ 1 (pow a 2)))))
(* (pow a 5) (- (+ 1/480 (+ (/ 1/4 (pow a 4)) (* 1/2 (/ 1 (pow a 5))))) (* 1/48 (/ 1 (pow a 2)))))
(* 1/480 (pow a 5))
(* -1 (* (pow a 5) (- (* 1/48 (/ 1 (pow a 2))) 1/480)))
(* -1 (* (pow a 5) (- (* 1/48 (/ 1 (pow a 2))) (+ 1/480 (/ 1/4 (pow a 4))))))
(* -1 (* (pow a 5) (- (+ (* -1 (/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 4))) (* 1/48 (/ 1 (pow a 2)))) 1/480)))
(* 1/4 a)
(* a (+ 1/4 (* -1/48 (pow a 2))))
(* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48))))
(* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48))))
(* 1/480 (pow a 5))
(* (pow a 5) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))
(* (pow a 5) (- (+ 1/480 (/ 1/4 (pow a 4))) (* 1/48 (/ 1 (pow a 2)))))
(* (pow a 5) (- (+ 1/480 (/ 1/4 (pow a 4))) (* 1/48 (/ 1 (pow a 2)))))
(* 1/480 (pow a 5))
(* -1 (* (pow a 5) (- (* 1/48 (/ 1 (pow a 2))) 1/480)))
(* -1 (* (pow a 5) (- (* 1/48 (/ 1 (pow a 2))) (+ 1/480 (/ 1/4 (pow a 4))))))
(* -1 (* (pow a 5) (- (* 1/48 (/ 1 (pow a 2))) (+ 1/480 (/ 1/4 (pow a 4))))))
1/4
(+ 1/4 (* -1/48 (pow a 2)))
(+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))
(+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))
(* 1/480 (pow a 4))
(* (pow a 4) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))
(* (pow a 4) (- (+ 1/480 (/ 1/4 (pow a 4))) (* 1/48 (/ 1 (pow a 2)))))
(* (pow a 4) (- (+ 1/480 (/ 1/4 (pow a 4))) (* 1/48 (/ 1 (pow a 2)))))
(* 1/480 (pow a 4))
(* (pow a 4) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))
(* (pow a 4) (- (+ 1/480 (/ 1/4 (pow a 4))) (* 1/48 (/ 1 (pow a 2)))))
(* (pow a 4) (- (+ 1/480 (/ 1/4 (pow a 4))) (* 1/48 (/ 1 (pow a 2)))))
(* -1/48 (pow a 2))
(* (pow a 2) (- (* 1/480 (pow a 2)) 1/48))
(* (pow a 2) (- (* 1/480 (pow a 2)) 1/48))
(* (pow a 2) (- (* 1/480 (pow a 2)) 1/48))
(* 1/480 (pow a 4))
(* (pow a 4) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))
(* (pow a 4) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))
(* (pow a 4) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))
(* 1/480 (pow a 4))
(* (pow a 4) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))
(* (pow a 4) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))
(* (pow a 4) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/480 (pow a 2))
(* 1/480 (pow a 2))
(* 1/480 (pow a 2))
(* 1/480 (pow a 2))
(* 1/480 (pow a 2))
(* 1/480 (pow a 2))
(* 1/480 (pow a 2))
(* 1/480 (pow a 2))
(* 1/480 (pow a 2))
(* 1/480 (pow a 2))
(* 1/480 (pow a 2))
(* 1/480 (pow a 2))
-1/48
(- (* 1/480 (pow a 2)) 1/48)
(- (* 1/480 (pow a 2)) 1/48)
(- (* 1/480 (pow a 2)) 1/48)
(* 1/480 (pow a 2))
(* (pow a 2) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))
(* (pow a 2) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))
(* (pow a 2) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))
(* 1/480 (pow a 2))
(* (pow a 2) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))
(* (pow a 2) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))
(* (pow a 2) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))
Outputs
(exp (neg (log 2)))
#s(literal 1/2 binary64)
(+ (exp (neg (log 2))) (* -1/2 (* b (exp (neg (log 2))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64)))
(+ (exp (neg (log 2))) (* b (+ (* -1/2 (exp (neg (log 2)))) (* 1/24 (* (pow b 2) (exp (neg (log 2))))))))
(+.f64 (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 b b) #s(literal 1/48 binary64)))) #s(literal 1/2 binary64))
(+ (exp (neg (log 2))) (* b (+ (* -1/2 (exp (neg (log 2)))) (* (pow b 2) (+ (* -1/240 (* (pow b 2) (exp (neg (log 2))))) (* 1/24 (exp (neg (log 2)))))))))
(+.f64 (*.f64 b (+.f64 (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) #s(literal -1/480 binary64)) #s(literal 1/48 binary64))) #s(literal -1/4 binary64))) #s(literal 1/2 binary64))
(exp (neg (log (+ 1 (exp b)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(exp (neg (log (+ 1 (exp b)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(exp (neg (log (+ 1 (exp b)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(exp (neg (log (+ 1 (exp b)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(exp (neg (log (+ 1 (exp b)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(exp (neg (log (+ 1 (exp b)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(exp (neg (log (+ 1 (exp b)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(exp (neg (log (+ 1 (exp b)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* 1/2 b))
(+.f64 (log.f64 #s(literal 2 binary64)) (/.f64 b #s(literal 2 binary64)))
(+ (log 2) (* b (+ 1/2 (* 1/8 b))))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/8 binary64)))))
(+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 b b) #s(literal -1/192 binary64)))))))
(log (+ 1 (exp b)))
(log1p.f64 (exp.f64 b))
(log (+ 1 (exp b)))
(log1p.f64 (exp.f64 b))
(log (+ 1 (exp b)))
(log1p.f64 (exp.f64 b))
(log (+ 1 (exp b)))
(log1p.f64 (exp.f64 b))
(log (+ 1 (exp b)))
(log1p.f64 (exp.f64 b))
(log (+ 1 (exp b)))
(log1p.f64 (exp.f64 b))
(log (+ 1 (exp b)))
(log1p.f64 (exp.f64 b))
(log (+ 1 (exp b)))
(log1p.f64 (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 b #s(literal 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)
(* -1 (log 2))
(-.f64 #s(literal 0 binary64) (log.f64 #s(literal 2 binary64)))
(- (* -1/2 b) (log 2))
(-.f64 (*.f64 #s(literal -1/2 binary64) b) (log.f64 #s(literal 2 binary64)))
(- (* b (- (* -1/8 b) 1/2)) (log 2))
(-.f64 (*.f64 b (+.f64 #s(literal -1/2 binary64) (*.f64 b #s(literal -1/8 binary64)))) (log.f64 #s(literal 2 binary64)))
(- (* b (- (* b (- (* 1/192 (pow b 2)) 1/8)) 1/2)) (log 2))
(-.f64 (*.f64 b (+.f64 #s(literal -1/2 binary64) (*.f64 b (+.f64 #s(literal -1/8 binary64) (*.f64 b (*.f64 b #s(literal 1/192 binary64))))))) (log.f64 #s(literal 2 binary64)))
(* -1 (log (+ 1 (exp b))))
(-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 b)))
(* -1 (log (+ 1 (exp b))))
(-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 b)))
(* -1 (log (+ 1 (exp b))))
(-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 b)))
(* -1 (log (+ 1 (exp b))))
(-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 b)))
(* -1 (log (+ 1 (exp b))))
(-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 b)))
(* -1 (log (+ 1 (exp b))))
(-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 b)))
(* -1 (log (+ 1 (exp b))))
(-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 b)))
(* -1 (log (+ 1 (exp b))))
(-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 b)))
(* 1/4 a)
(*.f64 #s(literal 1/4 binary64) a)
(* 1/4 a)
(*.f64 #s(literal 1/4 binary64) a)
(* 1/4 a)
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#s(literal 1/2 binary64)
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#s(literal 1/2 binary64)
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#s(literal 2 binary64)
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b
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#s(literal 1 binary64)
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1/2
#s(literal 1/2 binary64)
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1/4
#s(literal 1/4 binary64)
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(* (pow a 4) (- (+ 1/480 (/ 1/4 (pow a 4))) (* 1/48 (/ 1 (pow a 2)))))
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 #s(literal 1/480 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
(* -1/48 (pow a 2))
(*.f64 a (*.f64 a #s(literal -1/48 binary64)))
(* (pow a 2) (- (* 1/480 (pow a 2)) 1/48))
(*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64))))
(* (pow a 2) (- (* 1/480 (pow a 2)) 1/48))
(*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64))))
(* (pow a 2) (- (* 1/480 (pow a 2)) 1/48))
(*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64))))
(* 1/480 (pow a 4))
(*.f64 #s(literal 1/480 binary64) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))
(*.f64 (+.f64 #s(literal 1/480 binary64) (/.f64 #s(literal -1/48 binary64) (*.f64 a a))) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))
(*.f64 (+.f64 #s(literal 1/480 binary64) (/.f64 #s(literal -1/48 binary64) (*.f64 a a))) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))
(*.f64 (+.f64 #s(literal 1/480 binary64) (/.f64 #s(literal -1/48 binary64) (*.f64 a a))) (pow.f64 a #s(literal 4 binary64)))
(* 1/480 (pow a 4))
(*.f64 #s(literal 1/480 binary64) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))
(*.f64 (+.f64 #s(literal 1/480 binary64) (/.f64 #s(literal -1/48 binary64) (*.f64 a a))) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))
(*.f64 (+.f64 #s(literal 1/480 binary64) (/.f64 #s(literal -1/48 binary64) (*.f64 a a))) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))
(*.f64 (+.f64 #s(literal 1/480 binary64) (/.f64 #s(literal -1/48 binary64) (*.f64 a a))) (pow.f64 a #s(literal 4 binary64)))
(* 1/2 b)
(/.f64 b #s(literal 2 binary64))
(* 1/2 b)
(/.f64 b #s(literal 2 binary64))
(* 1/2 b)
(/.f64 b #s(literal 2 binary64))
(* 1/2 b)
(/.f64 b #s(literal 2 binary64))
(* 1/2 b)
(/.f64 b #s(literal 2 binary64))
(* 1/2 b)
(/.f64 b #s(literal 2 binary64))
(* 1/2 b)
(/.f64 b #s(literal 2 binary64))
(* 1/2 b)
(/.f64 b #s(literal 2 binary64))
(* 1/2 b)
(/.f64 b #s(literal 2 binary64))
(* 1/2 b)
(/.f64 b #s(literal 2 binary64))
(* 1/2 b)
(/.f64 b #s(literal 2 binary64))
(* 1/2 b)
(/.f64 b #s(literal 2 binary64))
(* 1/480 (pow a 2))
(*.f64 (*.f64 a a) #s(literal 1/480 binary64))
(* 1/480 (pow a 2))
(*.f64 (*.f64 a a) #s(literal 1/480 binary64))
(* 1/480 (pow a 2))
(*.f64 (*.f64 a a) #s(literal 1/480 binary64))
(* 1/480 (pow a 2))
(*.f64 (*.f64 a a) #s(literal 1/480 binary64))
(* 1/480 (pow a 2))
(*.f64 (*.f64 a a) #s(literal 1/480 binary64))
(* 1/480 (pow a 2))
(*.f64 (*.f64 a a) #s(literal 1/480 binary64))
(* 1/480 (pow a 2))
(*.f64 (*.f64 a a) #s(literal 1/480 binary64))
(* 1/480 (pow a 2))
(*.f64 (*.f64 a a) #s(literal 1/480 binary64))
(* 1/480 (pow a 2))
(*.f64 (*.f64 a a) #s(literal 1/480 binary64))
(* 1/480 (pow a 2))
(*.f64 (*.f64 a a) #s(literal 1/480 binary64))
(* 1/480 (pow a 2))
(*.f64 (*.f64 a a) #s(literal 1/480 binary64))
(* 1/480 (pow a 2))
(*.f64 (*.f64 a a) #s(literal 1/480 binary64))
-1/48
#s(literal -1/48 binary64)
(- (* 1/480 (pow a 2)) 1/48)
(+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))
(- (* 1/480 (pow a 2)) 1/48)
(+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))
(- (* 1/480 (pow a 2)) 1/48)
(+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))
(* 1/480 (pow a 2))
(*.f64 (*.f64 a a) #s(literal 1/480 binary64))
(* (pow a 2) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))
(*.f64 (*.f64 a a) (+.f64 #s(literal 1/480 binary64) (/.f64 #s(literal -1/48 binary64) (*.f64 a a))))
(* (pow a 2) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))
(*.f64 (*.f64 a a) (+.f64 #s(literal 1/480 binary64) (/.f64 #s(literal -1/48 binary64) (*.f64 a a))))
(* (pow a 2) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))
(*.f64 (*.f64 a a) (+.f64 #s(literal 1/480 binary64) (/.f64 #s(literal -1/48 binary64) (*.f64 a a))))
(* 1/480 (pow a 2))
(*.f64 (*.f64 a a) #s(literal 1/480 binary64))
(* (pow a 2) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))
(*.f64 (*.f64 a a) (+.f64 #s(literal 1/480 binary64) (/.f64 #s(literal -1/48 binary64) (*.f64 a a))))
(* (pow a 2) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))
(*.f64 (*.f64 a a) (+.f64 #s(literal 1/480 binary64) (/.f64 #s(literal -1/48 binary64) (*.f64 a a))))
(* (pow a 2) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))
(*.f64 (*.f64 a a) (+.f64 #s(literal 1/480 binary64) (/.f64 #s(literal -1/48 binary64) (*.f64 a a))))

eval88.0ms (1.1%)

Compiler

Compiled 16867 to 2268 computations (86.6% saved)

prune95.0ms (1.1%)

Pruning

27 alts after pruning (19 fresh and 8 done)

PrunedKeptTotal
New7346740
Fresh21315
Picked235
Done055
Total73827765
Accuracy
100.0%
Counts
765 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
38.8%
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/16 binary64) (*.f64 a a))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) a)))
15.5%
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b)) (*.f64 b b))
36.4%
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) #s(literal -2 binary64))) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) #s(literal -2 binary64)))))) (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) (*.f64 (*.f64 b b) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) #s(literal -2 binary64))))))
✓66.4%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
65.0%
(/.f64 (exp.f64 a) #s(literal 2 binary64))
16.2%
(/.f64 #s(literal 2 binary64) (*.f64 b b))
41.6%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 b b) (*.f64 #s(literal 1/4 binary64) (*.f64 b b))) #s(literal 4 binary64)) (-.f64 (/.f64 (*.f64 b b) #s(literal 2 binary64)) #s(literal 2 binary64))))
37.8%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) #s(literal 8 binary64))) (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 (*.f64 b b) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 b b))))))
35.7%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (*.f64 b b) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))) (*.f64 (*.f64 b b) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 b b) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))) (-.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))))))
48.9%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 b (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b)) b))))
48.9%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 b (/.f64 #s(literal 2 binary64) b))))
38.9%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal -1/2 binary64) (*.f64 b #s(literal 1/4 binary64))))))))
53.1%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
✓80.0%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
36.2%
(+.f64 (*.f64 b (+.f64 (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) #s(literal -1/480 binary64)) #s(literal 1/48 binary64))) #s(literal -1/4 binary64))) #s(literal 1/2 binary64))
35.6%
(+.f64 (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 b b) #s(literal 1/48 binary64)))) #s(literal 1/2 binary64))
38.9%
(+.f64 (*.f64 #s(literal 1/4 binary64) a) (+.f64 (*.f64 (*.f64 a #s(literal -1/48 binary64)) (*.f64 a a)) #s(literal 1/2 binary64)))
36.5%
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64)))
✓38.9%
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))))))
✓38.9%
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a #s(literal -1/48 binary64))))))
✓38.9%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
16.3%
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a a))))))))
✓3.6%
(*.f64 #s(literal 1/4 binary64) a)
15.8%
(*.f64 #s(literal 1/480 binary64) (pow.f64 a #s(literal 5 binary64)))
13.7%
(*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a)))
✓80.0%
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
✓38.6%
#s(literal 1/2 binary64)
Compiler

Compiled 1083 to 451 computations (58.4% saved)

regimes88.0ms (1.1%)

Counts
40 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/4 binary64) a)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 b (/.f64 #s(literal 2 binary64) b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 b b) #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b)) (*.f64 b b))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a #s(literal -1/48 binary64))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 b b)))))
(+.f64 (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 b b) #s(literal 1/48 binary64)))) #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 1/4 binary64) a) (+.f64 (*.f64 (*.f64 a #s(literal -1/48 binary64)) (*.f64 a 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 binary64) (*.f64 b #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 b (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b)) b))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/16 binary64) (*.f64 a a))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) a)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
(/.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 1/4 binary64))))))))
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a a))))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))))))
(+.f64 #s(literal 1/2 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)))))))
(+.f64 (*.f64 b (+.f64 (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) #s(literal -1/480 binary64)) #s(literal 1/48 binary64))) #s(literal -1/4 binary64))) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 b b) (*.f64 #s(literal 1/4 binary64) (*.f64 b b))) #s(literal 4 binary64)) (-.f64 (/.f64 (*.f64 b b) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 b b) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) #s(literal 8 binary64))) (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 (*.f64 b b) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 b b))))))
(/.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) #s(literal -2 binary64)))) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) (*.f64 (*.f64 b b) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (*.f64 b b) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))) (*.f64 (*.f64 b b) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 b b) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))) (-.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) #s(literal -2 binary64))) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) #s(literal -2 binary64)))))) (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) (*.f64 (*.f64 b b) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) #s(literal -2 binary64))))))
(/.f64 (exp.f64 a) #s(literal 2 binary64))
(*.f64 #s(literal 1/480 binary64) (pow.f64 a #s(literal 5 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(exp.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 b))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))))
(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:

31.0ms
a
17.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
16.0ms
(exp.f64 b)
11.0ms
b
9.0ms
(exp.f64 a)
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)

regimes71.0ms (0.9%)

Counts
37 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/4 binary64) a)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 b (/.f64 #s(literal 2 binary64) b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 b b) #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b)) (*.f64 b b))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a #s(literal -1/48 binary64))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 b b)))))
(+.f64 (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 b b) #s(literal 1/48 binary64)))) #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 1/4 binary64) a) (+.f64 (*.f64 (*.f64 a #s(literal -1/48 binary64)) (*.f64 a 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 binary64) (*.f64 b #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 b (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b)) b))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/16 binary64) (*.f64 a a))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) a)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
(/.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 1/4 binary64))))))))
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a a))))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))))))
(+.f64 #s(literal 1/2 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)))))))
(+.f64 (*.f64 b (+.f64 (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) #s(literal -1/480 binary64)) #s(literal 1/48 binary64))) #s(literal -1/4 binary64))) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 b b) (*.f64 #s(literal 1/4 binary64) (*.f64 b b))) #s(literal 4 binary64)) (-.f64 (/.f64 (*.f64 b b) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 b b) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) #s(literal 8 binary64))) (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 (*.f64 b b) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 b b))))))
(/.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) #s(literal -2 binary64)))) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) (*.f64 (*.f64 b b) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (*.f64 b b) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))) (*.f64 (*.f64 b b) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 b b) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))) (-.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) #s(literal -2 binary64))) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) #s(literal -2 binary64)))))) (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) (*.f64 (*.f64 b b) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) #s(literal -2 binary64))))))
(/.f64 (exp.f64 a) #s(literal 2 binary64))
(*.f64 #s(literal 1/480 binary64) (pow.f64 a #s(literal 5 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(exp.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 b))))
Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
Calls

4 calls:

40.0ms
b
10.0ms
a
8.0ms
(exp.f64 b)
8.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
99.3%2a
99.3%3b
99.3%2(exp.f64 a)
99.3%3(exp.f64 b)
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes29.0ms (0.3%)

Counts
35 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/4 binary64) a)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 b (/.f64 #s(literal 2 binary64) b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 b b) #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b)) (*.f64 b b))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a #s(literal -1/48 binary64))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 b b)))))
(+.f64 (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 b b) #s(literal 1/48 binary64)))) #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 1/4 binary64) a) (+.f64 (*.f64 (*.f64 a #s(literal -1/48 binary64)) (*.f64 a 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 binary64) (*.f64 b #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 b (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b)) b))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/16 binary64) (*.f64 a a))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) a)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
(/.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 1/4 binary64))))))))
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a a))))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))))))
(+.f64 #s(literal 1/2 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)))))))
(+.f64 (*.f64 b (+.f64 (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) #s(literal -1/480 binary64)) #s(literal 1/48 binary64))) #s(literal -1/4 binary64))) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 b b) (*.f64 #s(literal 1/4 binary64) (*.f64 b b))) #s(literal 4 binary64)) (-.f64 (/.f64 (*.f64 b b) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 b b) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) #s(literal 8 binary64))) (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 (*.f64 b b) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 b b))))))
(/.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) #s(literal -2 binary64)))) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) (*.f64 (*.f64 b b) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (*.f64 b b) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))) (*.f64 (*.f64 b b) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 b b) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))) (-.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) #s(literal -2 binary64))) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) #s(literal -2 binary64)))))) (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) (*.f64 (*.f64 b b) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) #s(literal -2 binary64))))))
(/.f64 (exp.f64 a) #s(literal 2 binary64))
(*.f64 #s(literal 1/480 binary64) (pow.f64 a #s(literal 5 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
Calls

2 calls:

17.0ms
a
8.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
99.3%2a
99.3%2(exp.f64 a)
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes24.0ms (0.3%)

Counts
34 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/4 binary64) a)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 b (/.f64 #s(literal 2 binary64) b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 b b) #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b)) (*.f64 b b))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a #s(literal -1/48 binary64))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 b b)))))
(+.f64 (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 b b) #s(literal 1/48 binary64)))) #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 1/4 binary64) a) (+.f64 (*.f64 (*.f64 a #s(literal -1/48 binary64)) (*.f64 a 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 binary64) (*.f64 b #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 b (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b)) b))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/16 binary64) (*.f64 a a))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) a)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
(/.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 1/4 binary64))))))))
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a a))))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))))))
(+.f64 #s(literal 1/2 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)))))))
(+.f64 (*.f64 b (+.f64 (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) #s(literal -1/480 binary64)) #s(literal 1/48 binary64))) #s(literal -1/4 binary64))) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 b b) (*.f64 #s(literal 1/4 binary64) (*.f64 b b))) #s(literal 4 binary64)) (-.f64 (/.f64 (*.f64 b b) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 b b) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) #s(literal 8 binary64))) (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 (*.f64 b b) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 b b))))))
(/.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) #s(literal -2 binary64)))) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) (*.f64 (*.f64 b b) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (*.f64 b b) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))) (*.f64 (*.f64 b b) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 b b) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))) (-.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) #s(literal -2 binary64))) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) #s(literal -2 binary64)))))) (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) (*.f64 (*.f64 b b) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) #s(literal -2 binary64))))))
(/.f64 (exp.f64 a) #s(literal 2 binary64))
(*.f64 #s(literal 1/480 binary64) (pow.f64 a #s(literal 5 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
Outputs
(/.f64 (exp.f64 a) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
Calls

2 calls:

13.0ms
a
7.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
98.5%2a
98.2%2(exp.f64 a)
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes34.0ms (0.4%)

Counts
33 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/4 binary64) a)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 b (/.f64 #s(literal 2 binary64) b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 b b) #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b)) (*.f64 b b))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a #s(literal -1/48 binary64))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 b b)))))
(+.f64 (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 b b) #s(literal 1/48 binary64)))) #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 1/4 binary64) a) (+.f64 (*.f64 (*.f64 a #s(literal -1/48 binary64)) (*.f64 a 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 binary64) (*.f64 b #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 b (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b)) b))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/16 binary64) (*.f64 a a))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) a)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
(/.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 1/4 binary64))))))))
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a a))))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))))))
(+.f64 #s(literal 1/2 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)))))))
(+.f64 (*.f64 b (+.f64 (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) #s(literal -1/480 binary64)) #s(literal 1/48 binary64))) #s(literal -1/4 binary64))) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 b b) (*.f64 #s(literal 1/4 binary64) (*.f64 b b))) #s(literal 4 binary64)) (-.f64 (/.f64 (*.f64 b b) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 b b) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) #s(literal 8 binary64))) (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 (*.f64 b b) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 b b))))))
(/.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) #s(literal -2 binary64)))) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) (*.f64 (*.f64 b b) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (*.f64 b b) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))) (*.f64 (*.f64 b b) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 b b) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))) (-.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) #s(literal -2 binary64))) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) #s(literal -2 binary64)))))) (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) (*.f64 (*.f64 b b) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) #s(literal -2 binary64))))))
(/.f64 (exp.f64 a) #s(literal 2 binary64))
(*.f64 #s(literal 1/480 binary64) (pow.f64 a #s(literal 5 binary64)))
Outputs
(/.f64 (exp.f64 a) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
Calls

3 calls:

11.0ms
(exp.f64 a)
9.0ms
b
9.0ms
a
Results
AccuracySegmentsBranch
77.9%2b
75.9%2(exp.f64 a)
76.0%2a
Compiler

Compiled 10 to 7 computations (30% saved)

regimes29.0ms (0.3%)

Counts
31 → 5
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/4 binary64) a)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 b (/.f64 #s(literal 2 binary64) b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 b b) #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b)) (*.f64 b b))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a #s(literal -1/48 binary64))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 b b)))))
(+.f64 (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 b b) #s(literal 1/48 binary64)))) #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 1/4 binary64) a) (+.f64 (*.f64 (*.f64 a #s(literal -1/48 binary64)) (*.f64 a 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 binary64) (*.f64 b #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 b (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b)) b))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/16 binary64) (*.f64 a a))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) a)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
(/.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 1/4 binary64))))))))
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a a))))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))))))
(+.f64 #s(literal 1/2 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)))))))
(+.f64 (*.f64 b (+.f64 (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) #s(literal -1/480 binary64)) #s(literal 1/48 binary64))) #s(literal -1/4 binary64))) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 b b) (*.f64 #s(literal 1/4 binary64) (*.f64 b b))) #s(literal 4 binary64)) (-.f64 (/.f64 (*.f64 b b) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 b b) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) #s(literal 8 binary64))) (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 (*.f64 b b) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 b b))))))
(/.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) #s(literal -2 binary64)))) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) (*.f64 (*.f64 b b) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (*.f64 b b) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))) (*.f64 (*.f64 b b) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 b b) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))) (-.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) #s(literal -2 binary64))) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) #s(literal -2 binary64)))))) (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) (*.f64 (*.f64 b b) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) #s(literal -2 binary64))))))
Outputs
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))))))
(*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) #s(literal 8 binary64))) (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 (*.f64 b b) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 b b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 b b) (*.f64 #s(literal 1/4 binary64) (*.f64 b b))) #s(literal 4 binary64)) (-.f64 (/.f64 (*.f64 b b) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
Calls

2 calls:

9.0ms
b
9.0ms
a
Results
AccuracySegmentsBranch
53.1%1a
62.1%5b
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 #s(literal 1/4 binary64) a)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 b (/.f64 #s(literal 2 binary64) b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 b b) #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b)) (*.f64 b b))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a #s(literal -1/48 binary64))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 b b)))))
(+.f64 (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 b b) #s(literal 1/48 binary64)))) #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 1/4 binary64) a) (+.f64 (*.f64 (*.f64 a #s(literal -1/48 binary64)) (*.f64 a 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 binary64) (*.f64 b #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 b (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b)) b))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/16 binary64) (*.f64 a a))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) a)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
(/.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 1/4 binary64))))))))
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a a))))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))))))
(+.f64 #s(literal 1/2 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)))))))
(+.f64 (*.f64 b (+.f64 (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 b b) #s(literal -1/480 binary64)) #s(literal 1/48 binary64))) #s(literal -1/4 binary64))) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 b b) (*.f64 #s(literal 1/4 binary64) (*.f64 b b))) #s(literal 4 binary64)) (-.f64 (/.f64 (*.f64 b b) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 b b) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))))
Outputs
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))))))
(*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
Calls

1 calls:

8.0ms
b
Results
AccuracySegmentsBranch
58.8%3b
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts
22 → 3
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/4 binary64) a)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 b (/.f64 #s(literal 2 binary64) b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 b b) #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b)) (*.f64 b b))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a #s(literal -1/48 binary64))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 b b)))))
(+.f64 (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 b b) #s(literal 1/48 binary64)))) #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 1/4 binary64) a) (+.f64 (*.f64 (*.f64 a #s(literal -1/48 binary64)) (*.f64 a 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 binary64) (*.f64 b #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 b (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b)) b))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/16 binary64) (*.f64 a a))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) a)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
(/.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 1/4 binary64))))))))
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a a))))))))
Outputs
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a #s(literal -1/48 binary64))))))
(*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
Calls

1 calls:

7.0ms
b
Results
AccuracySegmentsBranch
58.7%3b
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes10.0ms (0.1%)

Counts
19 → 3
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/4 binary64) a)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 b (/.f64 #s(literal 2 binary64) b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 b b) #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b)) (*.f64 b b))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a #s(literal -1/48 binary64))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 b b)))))
(+.f64 (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 b b) #s(literal 1/48 binary64)))) #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 1/4 binary64) a) (+.f64 (*.f64 (*.f64 a #s(literal -1/48 binary64)) (*.f64 a 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 binary64) (*.f64 b #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 b (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b)) b))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/16 binary64) (*.f64 a a))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) a)))
Outputs
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a #s(literal -1/48 binary64))))))
(*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
Calls

1 calls:

9.0ms
b
Results
AccuracySegmentsBranch
56.4%3b
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts
11 → 3
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/4 binary64) a)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 b (/.f64 #s(literal 2 binary64) b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 b b) #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b)) (*.f64 b b))
Outputs
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
(*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
Calls

1 calls:

4.0ms
b
Results
AccuracySegmentsBranch
56.3%3b
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

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

2 calls:

3.0ms
b
3.0ms
a
Results
AccuracySegmentsBranch
41.3%2a
51.7%2b
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes9.0ms (0.1%)

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

2 calls:

6.0ms
b
2.0ms
a
Results
AccuracySegmentsBranch
38.9%1a
38.9%1b
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Accuracy

Total -22.8b remaining (-58.1%)

Threshold costs -22.8b (-58.1%)

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

2 calls:

2.0ms
b
2.0ms
a
Results
AccuracySegmentsBranch
38.6%1a
38.6%1b
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.9999895548025981
0.9999999956646598
Compiler

Compiled 14 to 10 computations (28.6% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.9999895548025981
0.9999999956646598
Compiler

Compiled 14 to 10 computations (28.6% saved)

bsearch22.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
21.0ms
-112442054422321760.0
-203683420.6978499
Results
14.0ms144×0valid
2.0ms32×0unsamplable
Compiler

Compiled 159 to 127 computations (20.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-div: 6.0ms (61.3% of total)
ival-exp: 2.0ms (20.4% of total)
ival-add: 1.0ms (10.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch14.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
13.0ms
1.037117260630899e+100
8.561022070446338e+105
Results
8.0ms144×0valid
Compiler

Compiled 240 to 190 computations (20.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-exp: 2.0ms (56.2% of total)
ival-div: 1.0ms (28.1% of total)
ival-add: 1.0ms (28.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch91.0ms (1.1%)

Algorithm
4×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
28.0ms
7.827484010972611e+148
1.5323628714405897e+158
13.0ms
3.4748731116200065e+75
3.613097226048364e+82
13.0ms
7.165585050780578e+25
1.359872056422036e+31
33.0ms
7023.515013670298
22750.657454138454
Results
70.0ms512×0valid
Compiler

Compiled 1407 to 844 computations (40% saved)

Precisions
Click to see histograms. Total time spent on operations: 54.0ms
ival-exp: 47.0ms (87% of total)
ival-div: 3.0ms (5.6% of total)
ival-add: 3.0ms (5.6% 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
17.0ms
6.37760129865763e+94
1.2953860893308273e+98
8.0ms
7023.515013670298
22750.657454138454
Results
18.0ms208×0valid
Compiler

Compiled 389 to 283 computations (27.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-div: 7.0ms (63.3% of total)
ival-exp: 3.0ms (27.1% of total)
ival-add: 1.0ms (9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch21.0ms (0.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
11.0ms
6.37760129865763e+94
1.2953860893308273e+98
8.0ms
7023.515013670298
22750.657454138454
Results
12.0ms208×0valid
Compiler

Compiled 359 to 268 computations (25.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-exp: 3.0ms (54.2% of total)
ival-div: 1.0ms (18.1% of total)
ival-add: 1.0ms (18.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch46.0ms (0.6%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
13.0ms
7.827484010972611e+148
1.5323628714405897e+158
32.0ms
7023.515013670298
22750.657454138454
Results
37.0ms224×0valid
Compiler

Compiled 297 to 217 computations (26.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-exp: 3.0ms (50.8% of total)
ival-div: 1.0ms (16.9% of total)
ival-add: 1.0ms (16.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch28.0ms (0.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
18.0ms
7.827484010972611e+148
1.5323628714405897e+158
8.0ms
7023.515013670298
22750.657454138454
Results
19.0ms224×0valid
Compiler

Compiled 267 to 197 computations (26.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-exp: 3.0ms (51.2% of total)
ival-div: 1.0ms (17.1% of total)
ival-add: 1.0ms (17.1% 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
11.0ms
0.024718270683912143
2.5217898251946584
Results
7.0ms112×0valid
Compiler

Compiled 127 to 101 computations (20.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-exp: 2.0ms (62% of total)
ival-div: 1.0ms (31% of total)
ival-add: 1.0ms (31% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify18.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
38×+-commutative_binary64
36×*-commutative_binary64
10×sub-neg_binary64
6×neg-sub0_binary64
6×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
096343
1135343
2143343
3148343
4150343
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 9007109182748445/9007199254740992 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b)))))
(if (<=.f64 (exp.f64 a) #s(literal 9007109182748445/9007199254740992 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 a #s(literal -720000000 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 9499999999999999222481735058820725545439976674105979945221792112937755675195530152576548158474312220672 binary64)) (/.f64 (exp.f64 a) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))))
(if (<=.f64 b #s(literal 7200 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64))))))) (if (<=.f64 b #s(literal 13499999999999999283280016834560 binary64)) (*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a))) (if (<=.f64 b #s(literal 160000000000000007529621519344875134264953622525866092228459352558371992502272 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) #s(literal 8 binary64))) (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 (*.f64 b b) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 b b)))))) (if (<=.f64 b #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 b b) (*.f64 #s(literal 1/4 binary64) (*.f64 b b))) #s(literal 4 binary64)) (-.f64 (/.f64 (*.f64 b b) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) (*.f64 b b))))))
(if (<=.f64 b #s(literal 7200 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64))))))) (if (<=.f64 b #s(literal 128000000000000006382291708404338306177314366136123155401586295118334515084711144369210753965621248 binary64)) (*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))))
(if (<=.f64 b #s(literal 7200 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a #s(literal -1/48 binary64)))))) (if (<=.f64 b #s(literal 128000000000000006382291708404338306177314366136123155401586295118334515084711144369210753965621248 binary64)) (*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))))
(if (<=.f64 b #s(literal 7200 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a #s(literal -1/48 binary64)))))) (if (<=.f64 b #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 2 binary64) (*.f64 b b))))
(if (<=.f64 b #s(literal 7200 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a)) (if (<=.f64 b #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 2 binary64) (*.f64 b b))))
(if (<=.f64 b #s(literal 3602879701896397/2251799813685248 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a)) (/.f64 #s(literal 2 binary64) (*.f64 b b)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
#s(literal 1/2 binary64)
Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (<=.f64 (exp.f64 a) #s(literal 9007109182748445/9007199254740992 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b)))))
(if (<=.f64 (exp.f64 a) #s(literal 9007109182748445/9007199254740992 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (exp.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 b)))))
(if (<=.f64 (exp.f64 a) #s(literal 9007109182748445/9007199254740992 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 9007109182748445/9007199254740992 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 a #s(literal -720000000 binary64)) (/.f64 (exp.f64 a) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(if (<=.f64 a #s(literal -720000000 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 9499999999999999222481735058820725545439976674105979945221792112937755675195530152576548158474312220672 binary64)) (/.f64 (exp.f64 a) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))))
(if (<=.f64 b #s(literal 7200 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64))))))) (if (<=.f64 b #s(literal 13499999999999999283280016834560 binary64)) (*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a))) (if (<=.f64 b #s(literal 160000000000000007529621519344875134264953622525866092228459352558371992502272 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) #s(literal 8 binary64))) (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 (*.f64 b b) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 b b)))))) (if (<=.f64 b #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 b b) (*.f64 #s(literal 1/4 binary64) (*.f64 b b))) #s(literal 4 binary64)) (-.f64 (/.f64 (*.f64 b b) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) (*.f64 b b))))))
(if (<=.f64 b #s(literal 7200 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64))))))) (if (<=.f64 b #s(literal 128000000000000006382291708404338306177314366136123155401586295118334515084711144369210753965621248 binary64)) (*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))))
(if (<=.f64 b #s(literal 7200 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a #s(literal -1/48 binary64)))))) (if (<=.f64 b #s(literal 128000000000000006382291708404338306177314366136123155401586295118334515084711144369210753965621248 binary64)) (*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))))
(if (<=.f64 b #s(literal 7200 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a #s(literal -1/48 binary64)))))) (if (<=.f64 b #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 2 binary64) (*.f64 b b))))
(if (<=.f64 b #s(literal 7200 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a)) (if (<=.f64 b #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 2 binary64) (*.f64 b b))))
(if (<=.f64 b #s(literal 7200 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64))) (if (<=.f64 b #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 2 binary64) (*.f64 b b))))
(if (<=.f64 b #s(literal 3602879701896397/2251799813685248 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a)) (/.f64 #s(literal 2 binary64) (*.f64 b b)))
(if (<=.f64 b #s(literal 3602879701896397/2251799813685248 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 b b)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
#s(literal 1/2 binary64)

soundness2.3s (27.3%)

Rules
5630×*-lowering-*.f32
5630×*-lowering-*.f64
4916×+-lowering-+.f64
4916×+-lowering-+.f32
3976×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01671195
1474970
21472963
34941926
08359926
02933228
19152936
233152921
087252921
0120714
1360655
21227637
35176633
08594633
031132
1201112
21695111
08350111
021116
1144107
2139398
0862898
02591
115376
2128275
0864175
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 1053 to 601 computations (42.9% saved)

preprocess73.0ms (0.9%)

Compiler

Compiled 732 to 220 computations (69.9% saved)

end0.0ms (0%)

Profiling

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