Quotient of sum of exps

Time bar (total: 9.4s)

analyze5.0ms (0.1%)

Memory
10.6MiB live, 10.6MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
50%50%50%0.1%0%0%0%2
75%74.9%25%0.1%0%0%0%3
87.5%87.4%12.5%0.1%0%0%0%4
93.8%93.7%6.2%0.1%0%0%0%5
93.8%93.7%6.2%0.1%0%0%0%6
95.2%93.7%4.7%0.1%0%1.6%0%7
96%93.7%3.9%0.1%0%2.3%0%8
97.2%93.7%2.7%0.1%0%3.5%0%9
97.8%93.7%2.1%0.1%0%4.1%0%10
98.5%93.7%1.5%0.1%0%4.8%0%11
98.8%93.7%1.1%0.1%0%5.1%0%12
Compiler

Compiled 10 to 8 computations (20% saved)

sample1.0s (11.1%)

Memory
10.8MiB live, 1 579.8MiB allocated
Samples
481.0ms8 256×0valid
208.0ms2 977×0exit
Precisions
Click to see histograms. Total time spent on operations: 417.0ms
ival-exp: 200.0ms (48% of total)
ival-add: 130.0ms (31.2% of total)
ival-div: 75.0ms (18% of total)
ival-true: 7.0ms (1.7% of total)
ival-assert: 4.0ms (1% of total)
Bogosity

preprocess83.0ms (0.9%)

Memory
20.8MiB live, 59.3MiB allocated
Algorithm
egg-herbie
Rules
434×div-sub
420×times-frac
300×distribute-lft-in
256×distribute-rgt-in
212×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01856
14256
27756
314656
426251
547151
665351
791851
8130851
9156351
10179650
11202750
12224250
13250950
14254450
15255250
16255450
068
178
078
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(/ (exp a) (+ (exp a) (exp b)))
Outputs
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Call 2
Inputs
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp (neg a)) (+ (exp (neg a)) (exp b)))
(/ (exp a) (+ (exp a) (exp (neg b))))
(neg (/ (exp (neg a)) (+ (exp (neg a)) (exp b))))
(neg (/ (exp a) (+ (exp a) (exp (neg b)))))
(/ (exp b) (+ (exp b) (exp a)))
Outputs
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp (neg a)) (+ (exp (neg a)) (exp b)))
(/ 1 (+ 1 (exp (+ a b))))
(/ (exp a) (+ (exp a) (exp (neg b))))
(neg (/ (exp (neg a)) (+ (exp (neg a)) (exp b))))
(/ 1 (- -1 (exp (+ a b))))
(neg (/ (exp a) (+ (exp a) (exp (neg b)))))
(/ 1 (- -1 (exp (- (neg a) b))))
(/ (exp b) (+ (exp b) (exp a)))
(/ (exp b) (+ (exp a) (exp b)))

explain78.0ms (0.8%)

Memory
-6.7MiB live, 191.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
20-0-(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
00-0-(+.f64 (exp.f64 a) (exp.f64 b))
00-0-a
00-0-(exp.f64 b)
00-0-b
00-0-(exp.f64 a)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))u/u20
(exp.f64 a)underflow79
(+.f64 (exp.f64 a) (exp.f64 b))underflow2
(exp.f64 a)underflow79
(exp.f64 b)underflow49
Confusion
Predicted +Predicted -
+20
-0254
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+200
-00254
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0254
12
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
30.0ms512×0valid
Compiler

Compiled 62 to 28 computations (54.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-exp: 10.0ms (61.1% of total)
ival-div: 3.0ms (18.3% of total)
ival-add: 2.0ms (12.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 10 to 6 computations (40% saved)

simplify3.0ms (0%)

Memory
6.4MiB live, 6.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize23.0ms (0.2%)

Memory
2.5MiB live, 42.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(exp.f64 b)
accuracy100.0%
(exp.f64 a)
accuracy100.0%
(+.f64 (exp.f64 a) (exp.f64 b))
accuracy99.2%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Samples
16.0ms256×0valid
Compiler

Compiled 21 to 8 computations (61.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-exp: 3.0ms (45.3% of total)
ival-div: 2.0ms (30.2% of total)
ival-add: 1.0ms (15.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
-24.8MiB live, 13.3MiB allocated
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
b
@-inf
(/ (exp a) (+ (exp a) (exp b)))

rewrite381.0ms (4.1%)

Memory
37.5MiB live, 635.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 200×/-lowering-/.f32
5 200×/-lowering-/.f64
4 032×accelerator-lowering-fma.f32
4 032×accelerator-lowering-fma.f64
3 280×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0617
12817
219917
3192817
0863117
Stop Event
iter limit
node limit
Counts
4 → 314
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 #s(literal 0 binary64) (/.f64 (/.f64 (exp.f64 a) (-.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (exp.f64 b))) #s(literal 1 binary64)))
(-.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))))
(-.f64 (/.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64))))) (/.f64 (exp.f64 (+.f64 a b)) (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64))))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1 binary64)) (/.f64 (/.f64 (exp.f64 a) (-.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (exp.f64 b))) #s(literal 1 binary64)))
(-.f64 (/.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) (exp.f64 a))) (/.f64 (/.f64 (exp.f64 b) (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (exp.f64 a))))
(-.f64 (/.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 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (/.f64 (exp.f64 (+.f64 a b)) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (exp.f64 a))))
(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 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1 binary64))
(/.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 #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 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64)))))))
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(*.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 (+.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 (+.f64 (exp.f64 (*.f64 a #s(literal 6 binary64))) (exp.f64 (*.f64 b #s(literal 6 binary64)))) (exp.f64 (*.f64 (+.f64 a b) #s(literal 3 binary64))))))
(*.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b)))) (-.f64 (exp.f64 (*.f64 a #s(literal 6 binary64))) (exp.f64 (*.f64 b #s(literal 6 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))))
(*.f64 (pow.f64 (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (exp.f64 (*.f64 a #s(literal 6 binary64))) (exp.f64 (*.f64 b #s(literal 6 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a #s(literal 4 binary64))) (+.f64 (exp.f64 (*.f64 b #s(literal 4 binary64))) (exp.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)))))))
(*.f64 (pow.f64 (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (exp.f64 (*.f64 a #s(literal 4 binary64))) (exp.f64 (*.f64 b #s(literal 4 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64))))))
(*.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))))
(exp.f64 b)
(exp.f64 (*.f64 b #s(literal 1 binary64)))
(pow.f64 (exp.f64 b) #s(literal 1 binary64))

simplify751.0ms (8%)

Memory
-22.3MiB live, 827.6MiB allocated
Algorithm
egg-herbie
Rules
18 438×accelerator-lowering-fma.f32
18 438×accelerator-lowering-fma.f64
4 430×*-lowering-*.f32
4 430×*-lowering-*.f64
2 966×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0120740
1332725
2963708
33702677
08342640
Stop Event
iter limit
node limit
Counts
72 → 72
Calls
Call 1
Inputs
(/ 1 (+ 1 (exp b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ 1 (exp a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(+ 1 (exp b))
(+ 1 (+ a (exp b)))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ 1 (exp a))
(+ 1 (+ b (exp a)))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
1
(+ 1 b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
Outputs
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (/.f64 a (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 a #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (+.f64 (/.f64 a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal -3/2 binary64) a) #s(literal -1 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 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))) (*.f64 a (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 3/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal -2/3 binary64))) (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))))))))) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal -3/2 binary64) a) #s(literal -1 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 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 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))))
(+.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 b)) (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 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))))
(+.f64 (*.f64 (-.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 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (/.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))) (+.f64 (*.f64 b #s(literal 1/6 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64))))) (*.f64 b b)) (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (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) (+ (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)

eval40.0ms (0.4%)

Memory
6.4MiB live, 82.8MiB allocated
Compiler

Compiled 11 385 to 1 194 computations (89.5% saved)

prune44.0ms (0.5%)

Memory
4.4MiB live, 83.7MiB allocated
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New4112413
Fresh000
Picked101
Done000
Total4122414
Accuracy
100.0%
Counts
414 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.1%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
79.0%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify4.0ms (0%)

Memory
4.7MiB live, 4.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
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)))
Rules
+-lowering-+.f64
+-lowering-+.f32
exp-lowering-exp.f32
/-lowering-/.f32
/-lowering-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0929
11329
01329
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ 1 (+ 1 (exp b)))
1
(+ 1 (exp b))
(exp b)
b
(/ (exp a) (+ (exp a) 1))
(exp a)
a
(+ (exp a) 1)
1
Outputs
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
1
#s(literal 1 binary64)
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(exp b)
(exp.f64 b)
b
(/ (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)

localize28.0ms (0.3%)

Memory
-3.0MiB live, 36.0MiB allocated
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(exp.f64 a)
accuracy100.0%
(+.f64 (exp.f64 a) #s(literal 1 binary64))
accuracy100.0%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
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)))
Samples
17.0ms256×0valid
Compiler

Compiled 31 to 11 computations (64.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-exp: 4.0ms (42.7% of total)
ival-div: 3.0ms (32.1% of total)
ival-add: 2.0ms (21.4% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:110:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0%)

Memory
5.8MiB live, 5.8MiB allocated
Counts
6 → 72
Calls
Call 1
Inputs
#<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)>
Outputs
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 b))>
#<alt (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))>
#<alt (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt 2>
#<alt (+ 2 b)>
#<alt (+ 2 (* b (+ 1 (* 1/2 b))))>
#<alt (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt 1>
#<alt (+ 1 b)>
#<alt (+ 1 (* b (+ 1 (* 1/2 b))))>
#<alt (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt 1/2>
#<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))>
Calls

18 calls:

TimeVariablePointExpression
1.0ms
b
@inf
(/ 1 (+ 1 (exp b)))
1.0ms
a
@-inf
(/ (exp a) (+ (exp a) 1))
0.0ms
a
@inf
(/ (exp a) (+ (exp a) 1))
0.0ms
b
@-inf
(/ 1 (+ 1 (exp b)))
0.0ms
b
@0
(/ 1 (+ 1 (exp b)))

rewrite329.0ms (3.5%)

Memory
-8.6MiB live, 460.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 420×*-lowering-*.f32
4 420×*-lowering-*.f64
4 362×/-lowering-/.f32
4 362×/-lowering-/.f64
2 406×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0925
15125
234025
3286525
0918324
Stop Event
iter limit
node limit
Counts
6 → 529
Calls
Call 1
Inputs
(/ 1 (+ 1 (exp b)))
(+ 1 (exp b))
(exp b)
(/ (exp a) (+ (exp a) 1))
(exp a)
(+ (exp a) 1)
Outputs
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (*.f64 (*.f64 (exp.f64 b) (expm1.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64)))))))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 2 binary64))))) (*.f64 (-.f64 #s(literal 0 binary64) (exp.f64 b)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 2 binary64)))))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64))))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (*.f64 (exp.f64 b) (expm1.f64 b))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (*.f64 (exp.f64 b) (expm1.f64 b))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64))))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 2 binary64))))) #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 0 binary64) (exp.f64 b))))
(+.f64 (*.f64 (*.f64 (exp.f64 b) (expm1.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64))))))
(exp.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 b))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (*.f64 (log1p.f64 (exp.f64 b)) #s(literal -1/2 binary64)) (*.f64 (log1p.f64 (exp.f64 b)) #s(literal -1/2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 b))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 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))))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (*.f64 (*.f64 (exp.f64 b) (expm1.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64)))))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 2 binary64))))) (*.f64 (-.f64 #s(literal 0 binary64) (exp.f64 b)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 2 binary64)))))))
(fma.f64 (*.f64 (exp.f64 b) (expm1.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64))))) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (*.f64 (exp.f64 b) (expm1.f64 b))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (*.f64 (exp.f64 b) (expm1.f64 b)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64))))) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 2 binary64))))) #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 0 binary64) (exp.f64 b))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 6 binary64))))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (*.f64 (*.f64 (exp.f64 b) (expm1.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64)))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 6 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 4 binary64))))) (*.f64 (-.f64 #s(literal 0 binary64) (exp.f64 b)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 2 binary64)))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 6 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64))))) #s(literal -1 binary64)) (*.f64 (*.f64 (exp.f64 b) (expm1.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64)))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 6 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 4 binary64)))))) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (exp.f64 b)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 2 binary64)))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 4 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) (exp.f64 b)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 2 binary64)))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 4 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 2 binary64))))) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (exp.f64 b)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 2 binary64)))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 9 binary64))))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 b #s(literal 6 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (*.f64 (*.f64 (exp.f64 b) (expm1.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64)))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 9 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 b #s(literal 6 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))) #s(literal -1 binary64)) (*.f64 (*.f64 (exp.f64 b) (expm1.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64)))))))
(neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 b)))
(/.f64 (+.f64 #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 (*.f64 b #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 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 -1 binary64) (neg.f64 (exp.f64 (*.f64 b #s(literal 3 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 2 binary64))))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(/.f64 (-.f64 #s(literal 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))))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (exp.f64 b) (expm1.f64 b)) #s(literal 3 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (exp.f64 b) (expm1.f64 b)) (-.f64 (*.f64 (exp.f64 b) (expm1.f64 b)) #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 (*.f64 b #s(literal 2 binary64)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (exp.f64 b) (expm1.f64 b)) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) (expm1.f64 b)))))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 b))) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #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 2 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) (pow.f64 (*.f64 (exp.f64 b) (expm1.f64 b)) #s(literal 3 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (exp.f64 b) (expm1.f64 b)) (-.f64 (*.f64 (exp.f64 b) (expm1.f64 b)) #s(literal 1 binary64))))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (exp.f64 b) (expm1.f64 b)) #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) (expm1.f64 b)))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 2 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 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 3 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 (*.f64 b #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) (expm1.f64 b))))) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 b #s(literal 3 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 b)))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 (*.f64 b #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (exp.f64 b) (expm1.f64 b)) #s(literal 3 binary64)))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (exp.f64 b) (expm1.f64 b)) (-.f64 (*.f64 (exp.f64 b) (expm1.f64 b)) #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (exp.f64 b) (expm1.f64 b)) #s(literal 2 binary64)))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) (expm1.f64 b))))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (exp.f64 b) (expm1.f64 b)) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (exp.f64 b) (expm1.f64 b)) (-.f64 (*.f64 (exp.f64 b) (expm1.f64 b)) #s(literal 1 binary64)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (exp.f64 b) (expm1.f64 b)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) (expm1.f64 b))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 (*.f64 b #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 2 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 2 binary64)))) (exp.f64 b))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.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)))) #s(literal 1 binary64)) (exp.f64 b))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 2 binary64)))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 2 binary64))))))
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(*.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (expm1.f64 a)))
(*.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 a)) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) (expm1.f64 a))))))
(*.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a))))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 a)) (pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) (expm1.f64 a)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) (expm1.f64 a)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a))))
(*.f64 (/.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64))) (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a #s(literal 6 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 (expm1.f64 a) #s(literal 3 binary64))))) (+.f64 (exp.f64 (*.f64 a #s(literal 4 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (-.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 (*.f64 a #s(literal 2 binary64)))))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (-.f64 (exp.f64 (*.f64 a #s(literal 4 binary64))) (pow.f64 (expm1.f64 a) #s(literal 2 binary64)))) (+.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 a)))
(*.f64 (/.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64))) (expm1.f64 (*.f64 a #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 (*.f64 a #s(literal 2 binary64))))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 (*.f64 a #s(literal 2 binary64))))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) (expm1.f64 a)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) (expm1.f64 a))))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a #s(literal 2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (expm1.f64 a)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 a))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) (expm1.f64 a))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 9 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 6 binary64))) #s(literal 1 binary64)) (exp.f64 (*.f64 a #s(literal 3 binary64))))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) (expm1.f64 a))) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a #s(literal 3 binary64)))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) (expm1.f64 a))))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 a #s(literal 2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 2 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a))))
(*.f64 (pow.f64 (/.f64 (expm1.f64 a) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 2 binary64)))))))
(*.f64 (pow.f64 (/.f64 (expm1.f64 a) (expm1.f64 (*.f64 a #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 2 binary64))))))

simplify502.0ms (5.3%)

Memory
30.2MiB live, 300.9MiB allocated
Algorithm
egg-herbie
Rules
8 308×accelerator-lowering-fma.f32
8 308×accelerator-lowering-fma.f64
2 156×*-lowering-*.f32
2 156×*-lowering-*.f64
1 488×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
072372
1177372
2370372
3832372
41227372
51438372
61566372
71731372
82088372
92921372
104202372
115273372
125431372
135484372
145498372
155503372
165503372
175560372
185560372
195560372
205658372
215690372
225690372
235690372
245700372
05700340
Stop Event
iter limit
saturated
Counts
72 → 72
Calls
Call 1
Inputs
1/2
(+ 1/2 (* -1/4 b))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
2
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
1
(+ 1 b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
1/2
(+ 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))
Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 b))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 b b)))))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) #s(literal -1/480 binary64))))))))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
2
#s(literal 2 binary64)
(+ 2 b)
(+.f64 b #s(literal 2 binary64))
(+ 2 (* b (+ 1 (* 1/2 b))))
(+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (-.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/6 binary64)))))))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
1
#s(literal 1 binary64)
(+ 1 b)
(+.f64 b #s(literal 1 binary64))
(+ 1 (* b (+ 1 (* 1/2 b))))
(+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(-.f64 #s(literal 1 binary64) (*.f64 b (-.f64 #s(literal -1 binary64) (*.f64 b (-.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/6 binary64)))))))
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
1/2
#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 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))))))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
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 #s(literal 1/2 binary64) a))))
(+ 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 #s(literal 1/6 binary64) 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)
(exp a)
(exp.f64 a)
2
#s(literal 2 binary64)
(+ 2 a)
(+.f64 #s(literal 2 binary64) a)
(+ 2 (* a (+ 1 (* 1/2 a))))
(+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a))))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) a))))))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))

eval69.0ms (0.7%)

Memory
-23.4MiB live, 125.3MiB allocated
Compiler

Compiled 11 142 to 1 665 computations (85.1% saved)

prune139.0ms (1.5%)

Memory
-7.4MiB live, 173.2MiB allocated
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New61411625
Fresh000
Picked022
Done000
Total61413627
Accuracy
100.0%
Counts
627 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.1%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
64.2%
(/.f64 (exp.f64 a) #s(literal 2 binary64))
32.4%
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
51.7%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (-.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/6 binary64))))))))
47.9%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))
79.0%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
31.7%
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) #s(literal -1/480 binary64))))))))
31.2%
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 b b)))))
34.9%
(+.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)))))))
35.0%
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
35.0%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
32.1%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))
34.7%
#s(literal 1/2 binary64)
Compiler

Compiled 265 to 204 computations (23% saved)

simplify8.0ms (0.1%)

Memory
14.2MiB live, 14.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))
cost-diff0
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))
cost-diff0
(+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))
cost-diff0
(*.f64 #s(literal -1/48 binary64) (*.f64 a a))
cost-diff0
(+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))
cost-diff0
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a))))
cost-diff0
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
cost-diff0
(*.f64 #s(literal 1/4 binary64) a)
cost-diff0
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
cost-diff0
(exp.f64 a)
cost-diff0
(/.f64 (exp.f64 a) #s(literal 2 binary64))
Rules
124×accelerator-lowering-fma.f32
124×accelerator-lowering-fma.f64
80×*-lowering-*.f32
80×*-lowering-*.f64
56×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02198
14698
27998
310898
410898
010887
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ (exp a) 2)
(exp a)
a
2
1/2
(+ 1/2 (* 1/4 a))
1/2
(* 1/4 a)
1/4
a
(+ 1/2 (* a (+ 1/4 (* -1/48 (* a a)))))
1/2
(* a (+ 1/4 (* -1/48 (* a a))))
a
(+ 1/4 (* -1/48 (* a a)))
1/4
(* -1/48 (* a a))
-1/48
(* a a)
(/ 1 (+ 2 (* b (+ 1 (* 1/2 b)))))
1
(+ 2 (* b (+ 1 (* 1/2 b))))
2
(* b (+ 1 (* 1/2 b)))
b
(+ 1 (* 1/2 b))
(* 1/2 b)
1/2
Outputs
(/ (exp a) 2)
(/.f64 (exp.f64 a) #s(literal 2 binary64))
(exp a)
(exp.f64 a)
a
2
#s(literal 2 binary64)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 a))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
1/2
#s(literal 1/2 binary64)
(* 1/4 a)
(*.f64 a #s(literal 1/4 binary64))
1/4
#s(literal 1/4 binary64)
a
(+ 1/2 (* a (+ 1/4 (* -1/48 (* a a)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a #s(literal -1/48 binary64))))))
1/2
#s(literal 1/2 binary64)
(* a (+ 1/4 (* -1/48 (* a a))))
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a #s(literal -1/48 binary64)))))
a
(+ 1/4 (* -1/48 (* a a)))
(+.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
1/4
#s(literal 1/4 binary64)
(* -1/48 (* a a))
(*.f64 a (*.f64 a #s(literal -1/48 binary64)))
-1/48
#s(literal -1/48 binary64)
(* a a)
(*.f64 a a)
(/ 1 (+ 2 (* b (+ 1 (* 1/2 b)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))
1
#s(literal 1 binary64)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))
2
#s(literal 2 binary64)
(* b (+ 1 (* 1/2 b)))
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))
b
(+ 1 (* 1/2 b))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
1/2
#s(literal 1/2 binary64)

localize68.0ms (0.7%)

Memory
0.4MiB live, 117.7MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))
accuracy100.0%
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) b)
accuracy99.2%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))
accuracy100.0%
(*.f64 a a)
accuracy100.0%
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
accuracy99.9%
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a))))
accuracy99.7%
(*.f64 #s(literal -1/48 binary64) (*.f64 a a))
accuracy100.0%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
accuracy100.0%
(*.f64 #s(literal 1/4 binary64) a)
accuracy100.0%
(/.f64 (exp.f64 a) #s(literal 2 binary64))
accuracy100.0%
(exp.f64 a)
Samples
41.0ms256×0valid
Compiler

Compiled 100 to 23 computations (77% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-mult: 9.0ms (37.3% of total)
ival-add: 6.0ms (24.9% of total)
...in/eval/compile.rkt:111:19: 4.0ms (16.6% of total)
ival-div: 3.0ms (12.4% of total)
ival-exp: 2.0ms (8.3% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:110:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series12.0ms (0.1%)

Memory
-17.5MiB live, 21.1MiB allocated
Counts
14 → 168
Calls
Call 1
Inputs
#<alt (/ (exp a) 2)>
#<alt (exp a)>
#<alt (+ 1/2 (* 1/4 a))>
#<alt (* 1/4 a)>
#<alt (+ 1/2 (* a (+ 1/4 (* -1/48 (* a a)))))>
#<alt (* a (+ 1/4 (* -1/48 (* a a))))>
#<alt (+ 1/4 (* -1/48 (* a a)))>
#<alt (* -1/48 (* a a))>
#<alt (/ 1 (+ 2 (* b (+ 1 (* 1/2 b)))))>
#<alt (+ 2 (* b (+ 1 (* 1/2 b))))>
#<alt (* b (+ 1 (* 1/2 b)))>
#<alt (+ 1 (* 1/2 b))>
#<alt (* a a)>
#<alt (* 1/2 b)>
Outputs
#<alt 1/2>
#<alt (+ 1/2 (* 1/2 a))>
#<alt (+ 1/2 (* a (+ 1/2 (* 1/4 a))))>
#<alt (+ 1/2 (* a (+ 1/2 (* a (+ 1/4 (* 1/12 a))))))>
#<alt (* 1/2 (exp a))>
#<alt (* 1/2 (exp a))>
#<alt (* 1/2 (exp a))>
#<alt (* 1/2 (exp a))>
#<alt (* 1/2 (exp a))>
#<alt (* 1/2 (exp a))>
#<alt (* 1/2 (exp a))>
#<alt (* 1/2 (exp a))>
#<alt 1>
#<alt (+ 1 a)>
#<alt (+ 1 (* a (+ 1 (* 1/2 a))))>
#<alt (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 a))>
#<alt (+ 1/2 (* 1/4 a))>
#<alt (+ 1/2 (* 1/4 a))>
#<alt (* 1/4 a)>
#<alt (* a (+ 1/4 (* 1/2 (/ 1 a))))>
#<alt (* a (+ 1/4 (* 1/2 (/ 1 a))))>
#<alt (* a (+ 1/4 (* 1/2 (/ 1 a))))>
#<alt (* 1/4 a)>
#<alt (* a (+ 1/4 (* 1/2 (/ 1 a))))>
#<alt (* a (+ 1/4 (* 1/2 (/ 1 a))))>
#<alt (* a (+ 1/4 (* 1/2 (/ 1 a))))>
#<alt (* 1/4 a)>
#<alt (* 1/4 a)>
#<alt (* 1/4 a)>
#<alt (* 1/4 a)>
#<alt (* 1/4 a)>
#<alt (* 1/4 a)>
#<alt (* 1/4 a)>
#<alt (* 1/4 a)>
#<alt (* 1/4 a)>
#<alt (* 1/4 a)>
#<alt (* 1/4 a)>
#<alt (* 1/4 a)>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 a))>
#<alt (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))>
#<alt (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))>
#<alt (* -1/48 (pow a 3))>
#<alt (* (pow a 3) (- (* 1/4 (/ 1 (pow a 2))) 1/48))>
#<alt (* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48))>
#<alt (* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48))>
#<alt (* -1/48 (pow a 3))>
#<alt (* -1 (* (pow a 3) (- 1/48 (* 1/4 (/ 1 (pow a 2))))))>
#<alt (* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 2))))))>
#<alt (* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 2))))))>
#<alt (* 1/4 a)>
#<alt (* a (+ 1/4 (* -1/48 (pow a 2))))>
#<alt (* a (+ 1/4 (* -1/48 (pow a 2))))>
#<alt (* a (+ 1/4 (* -1/48 (pow a 2))))>
#<alt (* -1/48 (pow a 3))>
#<alt (* (pow a 3) (- (* 1/4 (/ 1 (pow a 2))) 1/48))>
#<alt (* (pow a 3) (- (* 1/4 (/ 1 (pow a 2))) 1/48))>
#<alt (* (pow a 3) (- (* 1/4 (/ 1 (pow a 2))) 1/48))>
#<alt (* -1/48 (pow a 3))>
#<alt (* -1 (* (pow a 3) (- 1/48 (* 1/4 (/ 1 (pow a 2))))))>
#<alt (* -1 (* (pow a 3) (- 1/48 (* 1/4 (/ 1 (pow a 2))))))>
#<alt (* -1 (* (pow a 3) (- 1/48 (* 1/4 (/ 1 (pow a 2))))))>
#<alt 1/4>
#<alt (+ 1/4 (* -1/48 (pow a 2)))>
#<alt (+ 1/4 (* -1/48 (pow a 2)))>
#<alt (+ 1/4 (* -1/48 (pow a 2)))>
#<alt (* -1/48 (pow a 2))>
#<alt (* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))>
#<alt (* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))>
#<alt (* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))>
#<alt (* -1/48 (pow a 2))>
#<alt (* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))>
#<alt (* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))>
#<alt (* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 b))>
#<alt (+ 1/2 (* b (- (* 1/16 (pow b 2)) 1/4)))>
#<alt (+ 1/2 (* b (- (* (pow b 2) (+ 1/16 (* -1/32 b))) 1/4)))>
#<alt (/ 2 (pow b 2))>
#<alt (/ (- 2 (* 4 (/ 1 b))) (pow b 2))>
#<alt (/ (- (+ 2 (/ 16 (pow b 3))) (* 4 (/ 1 b))) (pow b 2))>
#<alt (/ (- (+ 2 (/ 16 (pow b 3))) (+ (* 4 (/ 1 b)) (* 32 (/ 1 (pow b 4))))) (pow b 2))>
#<alt (/ 2 (pow b 2))>
#<alt (/ (- 2 (* 4 (/ 1 b))) (pow b 2))>
#<alt (/ (+ 2 (* -1 (/ (- 4 (* 16 (/ 1 (pow b 2)))) b))) (pow b 2))>
#<alt (/ (+ 2 (* -1 (/ (- (+ 4 (/ 32 (pow b 3))) (* 16 (/ 1 (pow b 2)))) b))) (pow b 2))>
#<alt 2>
#<alt (+ 2 b)>
#<alt (+ 2 (* b (+ 1 (* 1/2 b))))>
#<alt (+ 2 (* b (+ 1 (* 1/2 b))))>
#<alt (* 1/2 (pow b 2))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))>
#<alt (* 1/2 (pow b 2))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))>
#<alt b>
#<alt (* b (+ 1 (* 1/2 b)))>
#<alt (* b (+ 1 (* 1/2 b)))>
#<alt (* b (+ 1 (* 1/2 b)))>
#<alt (* 1/2 (pow b 2))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* 1/2 (pow b 2))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt 1>
#<alt (+ 1 (* 1/2 b))>
#<alt (+ 1 (* 1/2 b))>
#<alt (+ 1 (* 1/2 b))>
#<alt (* 1/2 b)>
#<alt (* b (+ 1/2 (/ 1 b)))>
#<alt (* b (+ 1/2 (/ 1 b)))>
#<alt (* b (+ 1/2 (/ 1 b)))>
#<alt (* 1/2 b)>
#<alt (* b (+ 1/2 (/ 1 b)))>
#<alt (* b (+ 1/2 (/ 1 b)))>
#<alt (* b (+ 1/2 (/ 1 b)))>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
Calls

42 calls:

TimeVariablePointExpression
2.0ms
b
@-inf
(+ 2 (* b (+ 1 (* 1/2 b))))
2.0ms
a
@0
(+ 1/2 (* a (+ 1/4 (* -1/48 (* a a)))))
0.0ms
a
@-inf
(+ 1/2 (* a (+ 1/4 (* -1/48 (* a a)))))
0.0ms
b
@inf
(/ 1 (+ 2 (* b (+ 1 (* 1/2 b)))))
0.0ms
b
@inf
(* b (+ 1 (* 1/2 b)))

rewrite438.0ms (4.7%)

Memory
34.7MiB live, 703.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
8 744×accelerator-lowering-fma.f32
8 744×accelerator-lowering-fma.f64
5 840×*-lowering-*.f32
5 840×*-lowering-*.f64
3 280×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02184
112784
295984
0851673
Stop Event
iter limit
node limit
Counts
14 → 457
Calls
Call 1
Inputs
(/ (exp a) 2)
(exp a)
(+ 1/2 (* 1/4 a))
(* 1/4 a)
(+ 1/2 (* a (+ 1/4 (* -1/48 (* a a)))))
(* a (+ 1/4 (* -1/48 (* a a))))
(+ 1/4 (* -1/48 (* a a)))
(* -1/48 (* a a))
(/ 1 (+ 2 (* b (+ 1 (* 1/2 b)))))
(+ 2 (* b (+ 1 (* 1/2 b))))
(* b (+ 1 (* 1/2 b)))
(+ 1 (* 1/2 b))
(* a a)
(* 1/2 b)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (exp.f64 a))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (exp.f64 a) #s(literal -2 binary64)))
(neg.f64 (/.f64 (exp.f64 a) #s(literal -2 binary64)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) #s(literal -2 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (exp.f64 a))))
(/.f64 (exp.f64 a) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (exp.f64 a)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (exp.f64 a)))
(/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (exp.f64 a)) #s(literal -1 binary64))
(*.f64 (exp.f64 a) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (exp.f64 a))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (exp.f64 a) #s(literal -2 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) #s(literal -1/2 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (exp.f64 a)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (exp.f64 a)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 a))) #s(literal -1/2 binary64))
(exp.f64 a)
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 a)))
(neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)))
(*.f64 #s(literal 1 binary64) (exp.f64 a))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 a)))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
(+.f64 (*.f64 a #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal 1/16 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64))))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))) (/.f64 (*.f64 (*.f64 a a) #s(literal 1/16 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal 1/16 binary64)) (+.f64 (*.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal 1/16 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64))))))
(neg.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/64 binary64) (*.f64 a (*.f64 a a)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 a (-.f64 (*.f64 a #s(literal 1/16 binary64)) #s(literal 1/8 binary64)))))))
(neg.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) #s(literal -1/16 binary64))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/64 binary64) (*.f64 a (*.f64 a a))))) (+.f64 #s(literal 1/4 binary64) (*.f64 a (-.f64 (*.f64 a #s(literal 1/16 binary64)) #s(literal 1/8 binary64))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) #s(literal -1/16 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 a a) #s(literal 1/16 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 a #s(literal 1/8 binary64)))) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/64 binary64) (*.f64 a (*.f64 a a))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 a a) #s(literal 1/16 binary64)) #s(literal -1/4 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64))))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/64 binary64) (*.f64 a (*.f64 a a)))) (+.f64 #s(literal 1/4 binary64) (*.f64 a (-.f64 (*.f64 a #s(literal 1/16 binary64)) #s(literal 1/8 binary64)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/64 binary64) (*.f64 a (*.f64 a a)))) (+.f64 (*.f64 (*.f64 a a) #s(literal 1/16 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 a #s(literal 1/8 binary64)))))
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) #s(literal -1/16 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/64 binary64) (*.f64 a (*.f64 a a))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 a (-.f64 (*.f64 a #s(literal 1/16 binary64)) #s(literal 1/8 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/64 binary64) (*.f64 a (*.f64 a a))))) (neg.f64 (+.f64 (*.f64 (*.f64 a a) #s(literal 1/16 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 a #s(literal 1/8 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) #s(literal -1/16 binary64)))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))))
(/.f64 (+.f64 (*.f64 (*.f64 a a) #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (+.f64 (*.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64))) (*.f64 (*.f64 a a) #s(literal 1/16 binary64)))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))))
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(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal -1/2 binary64)))) (/.f64 (*.f64 b (*.f64 #s(literal 1/4 binary64) b)) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal -1/2 binary64)))))
(-.f64 (/.f64 (*.f64 b (*.f64 #s(literal 1/4 binary64) b)) (+.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal -1 binary64))))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal -1/2 binary64)))) (neg.f64 (/.f64 (*.f64 b (*.f64 #s(literal 1/4 binary64) b)) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal -1/2 binary64))))))
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64) #s(literal 1 binary64))
(neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 b #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 b (*.f64 #s(literal 1/4 binary64) b)) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 b (*.f64 b b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal -1 binary64)) (+.f64 (*.f64 b (*.f64 #s(literal 1/4 binary64) b)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 b (*.f64 b b)))) (+.f64 #s(literal 1 binary64) (*.f64 b (-.f64 (*.f64 #s(literal 1/4 binary64) b) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 b (*.f64 b b)))) (+.f64 (*.f64 b (*.f64 #s(literal 1/4 binary64) b)) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal -1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (*.f64 #s(literal 1/4 binary64) b))) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal -1/2 binary64))))
(/.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) (neg.f64 (*.f64 b (-.f64 (*.f64 #s(literal 1/4 binary64) b) #s(literal 1/2 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 b (*.f64 #s(literal 1/4 binary64) b)) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal -1/2 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 b (*.f64 #s(literal 1/4 binary64) b)))) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 b #s(literal -1/2 binary64)))))
(/.f64 (+.f64 (*.f64 b (*.f64 #s(literal 1/4 binary64) b)) #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal -1/2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal -1/2 binary64))) (*.f64 b (*.f64 #s(literal 1/4 binary64) 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 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))))) #s(literal 1 binary64)) (*.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))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 b (-.f64 (*.f64 #s(literal 1/4 binary64) b) #s(literal 1/2 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 b (*.f64 b b)) (*.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 b (-.f64 (*.f64 #s(literal 1/4 binary64) b) #s(literal 1/2 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b (*.f64 #s(literal 1/4 binary64) b)) (+.f64 (*.f64 b (*.f64 #s(literal 1/4 binary64) b)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal -1/2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 b (*.f64 #s(literal 1/4 binary64) b))) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal -1/2 binary64)))))
(/.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 -1 binary64) (neg.f64 (*.f64 b (-.f64 (*.f64 #s(literal 1/4 binary64) b) #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 b (*.f64 #s(literal 1/4 binary64) b))))) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 b #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (+.f64 (*.f64 b (*.f64 #s(literal 1/4 binary64) b)) #s(literal -1 binary64))) (neg.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal -1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 b (*.f64 #s(literal 1/4 binary64) b)) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal -1/2 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.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 1 binary64) (*.f64 b #s(literal -1/2 binary64))))) (+.f64 (*.f64 (/.f64 (*.f64 b (*.f64 #s(literal 1/4 binary64) b)) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal -1/2 binary64)))) (/.f64 (*.f64 b (*.f64 #s(literal 1/4 binary64) b)) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal -1/2 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal -1/2 binary64)))) (/.f64 (*.f64 b (*.f64 #s(literal 1/4 binary64) b)) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal -1/2 binary64))))))))
(/.f64 (-.f64 (*.f64 (/.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 1 binary64) (*.f64 b #s(literal -1/2 binary64))))) (*.f64 (/.f64 (*.f64 b (*.f64 #s(literal 1/4 binary64) b)) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal -1/2 binary64)))) (/.f64 (*.f64 b (*.f64 #s(literal 1/4 binary64) b)) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal -1/2 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal -1/2 binary64)))) (/.f64 (*.f64 b (*.f64 #s(literal 1/4 binary64) b)) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal -1/2 binary64))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 b (-.f64 (*.f64 #s(literal 1/4 binary64) 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 (*.f64 #s(literal 1/4 binary64) b)) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal -1/2 binary64))))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (*.f64 #s(literal 1/4 binary64) b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal -1/2 binary64)))))
(*.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 -1 binary64) (neg.f64 (*.f64 b (-.f64 (*.f64 #s(literal 1/4 binary64) b) #s(literal 1/2 binary64)))))))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 b (*.f64 #s(literal 1/4 binary64) b)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 b #s(literal -1/2 binary64))))))
(*.f64 (+.f64 (*.f64 b (*.f64 #s(literal 1/4 binary64) b)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)))
(pow.f64 a #s(literal 2 binary64))
(pow.f64 (*.f64 a a) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 2 binary64))
(*.f64 a a)
(*.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)))
(*.f64 #s(literal 1/2 binary64) b)
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))
(*.f64 b #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64))

simplify465.0ms (5%)

Memory
0.1MiB live, 739.7MiB allocated
Algorithm
egg-herbie
Rules
14 950×accelerator-lowering-fma.f32
14 950×accelerator-lowering-fma.f64
4 340×*-lowering-*.f32
4 340×*-lowering-*.f64
2 752×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125999
1351974
2891974
33037946
47379946
08099856
Stop Event
iter limit
node limit
Counts
168 → 168
Calls
Call 1
Inputs
1/2
(+ 1/2 (* 1/2 a))
(+ 1/2 (* a (+ 1/2 (* 1/4 a))))
(+ 1/2 (* a (+ 1/2 (* a (+ 1/4 (* 1/12 a))))))
(* 1/2 (exp a))
(* 1/2 (exp a))
(* 1/2 (exp a))
(* 1/2 (exp a))
(* 1/2 (exp a))
(* 1/2 (exp a))
(* 1/2 (exp a))
(* 1/2 (exp a))
1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
1/2
(+ 1/2 (* 1/4 a))
(+ 1/2 (* 1/4 a))
(+ 1/2 (* 1/4 a))
(* 1/4 a)
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(* 1/4 a)
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(* 1/4 a)
(* 1/4 a)
(* 1/4 a)
(* 1/4 a)
(* 1/4 a)
(* 1/4 a)
(* 1/4 a)
(* 1/4 a)
(* 1/4 a)
(* 1/4 a)
(* 1/4 a)
(* 1/4 a)
1/2
(+ 1/2 (* 1/4 a))
(+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))
(+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))
(* -1/48 (pow a 3))
(* (pow a 3) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48))
(* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48))
(* -1/48 (pow a 3))
(* -1 (* (pow a 3) (- 1/48 (* 1/4 (/ 1 (pow a 2))))))
(* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 2))))))
(* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 2))))))
(* 1/4 a)
(* a (+ 1/4 (* -1/48 (pow a 2))))
(* a (+ 1/4 (* -1/48 (pow a 2))))
(* a (+ 1/4 (* -1/48 (pow a 2))))
(* -1/48 (pow a 3))
(* (pow a 3) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(* (pow a 3) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(* (pow a 3) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(* -1/48 (pow a 3))
(* -1 (* (pow a 3) (- 1/48 (* 1/4 (/ 1 (pow a 2))))))
(* -1 (* (pow a 3) (- 1/48 (* 1/4 (/ 1 (pow a 2))))))
(* -1 (* (pow a 3) (- 1/48 (* 1/4 (/ 1 (pow a 2))))))
1/4
(+ 1/4 (* -1/48 (pow a 2)))
(+ 1/4 (* -1/48 (pow a 2)))
(+ 1/4 (* -1/48 (pow a 2)))
(* -1/48 (pow a 2))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(* -1/48 (pow a 2))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
1/2
(+ 1/2 (* -1/4 b))
(+ 1/2 (* b (- (* 1/16 (pow b 2)) 1/4)))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/16 (* -1/32 b))) 1/4)))
(/ 2 (pow b 2))
(/ (- 2 (* 4 (/ 1 b))) (pow b 2))
(/ (- (+ 2 (/ 16 (pow b 3))) (* 4 (/ 1 b))) (pow b 2))
(/ (- (+ 2 (/ 16 (pow b 3))) (+ (* 4 (/ 1 b)) (* 32 (/ 1 (pow b 4))))) (pow b 2))
(/ 2 (pow b 2))
(/ (- 2 (* 4 (/ 1 b))) (pow b 2))
(/ (+ 2 (* -1 (/ (- 4 (* 16 (/ 1 (pow b 2)))) b))) (pow b 2))
(/ (+ 2 (* -1 (/ (- (+ 4 (/ 32 (pow b 3))) (* 16 (/ 1 (pow b 2)))) b))) (pow b 2))
2
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* 1/2 b))))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
b
(* b (+ 1 (* 1/2 b)))
(* b (+ 1 (* 1/2 b)))
(* b (+ 1 (* 1/2 b)))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (/ 1 b)))
1
(+ 1 (* 1/2 b))
(+ 1 (* 1/2 b))
(+ 1 (* 1/2 b))
(* 1/2 b)
(* b (+ 1/2 (/ 1 b)))
(* b (+ 1/2 (/ 1 b)))
(* b (+ 1/2 (/ 1 b)))
(* 1/2 b)
(* b (+ 1/2 (/ 1 b)))
(* b (+ 1/2 (/ 1 b)))
(* b (+ 1/2 (/ 1 b)))
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/2 a))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) a))
(+ 1/2 (* a (+ 1/2 (* 1/4 a))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))))
(+ 1/2 (* a (+ 1/2 (* a (+ 1/4 (* 1/12 a))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 a #s(literal 1/12 binary64)))))))
(* 1/2 (exp a))
(*.f64 #s(literal 1/2 binary64) (exp.f64 a))
(* 1/2 (exp a))
(*.f64 #s(literal 1/2 binary64) (exp.f64 a))
(* 1/2 (exp a))
(*.f64 #s(literal 1/2 binary64) (exp.f64 a))
(* 1/2 (exp a))
(*.f64 #s(literal 1/2 binary64) (exp.f64 a))
(* 1/2 (exp a))
(*.f64 #s(literal 1/2 binary64) (exp.f64 a))
(* 1/2 (exp a))
(*.f64 #s(literal 1/2 binary64) (exp.f64 a))
(* 1/2 (exp a))
(*.f64 #s(literal 1/2 binary64) (exp.f64 a))
(* 1/2 (exp a))
(*.f64 #s(literal 1/2 binary64) (exp.f64 a))
1
#s(literal 1 binary64)
(+ 1 a)
(+.f64 a #s(literal 1 binary64))
(+ 1 (* a (+ 1 (* 1/2 a))))
(+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))))
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 a))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
(+ 1/2 (* 1/4 a))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
(+ 1/2 (* 1/4 a))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
(* 1/4 a)
(*.f64 a #s(literal 1/4 binary64))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
(* 1/4 a)
(*.f64 a #s(literal 1/4 binary64))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
(* 1/4 a)
(*.f64 a #s(literal 1/4 binary64))
(* 1/4 a)
(*.f64 a #s(literal 1/4 binary64))
(* 1/4 a)
(*.f64 a #s(literal 1/4 binary64))
(* 1/4 a)
(*.f64 a #s(literal 1/4 binary64))
(* 1/4 a)
(*.f64 a #s(literal 1/4 binary64))
(* 1/4 a)
(*.f64 a #s(literal 1/4 binary64))
(* 1/4 a)
(*.f64 a #s(literal 1/4 binary64))
(* 1/4 a)
(*.f64 a #s(literal 1/4 binary64))
(* 1/4 a)
(*.f64 a #s(literal 1/4 binary64))
(* 1/4 a)
(*.f64 a #s(literal 1/4 binary64))
(* 1/4 a)
(*.f64 a #s(literal 1/4 binary64))
(* 1/4 a)
(*.f64 a #s(literal 1/4 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 a))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
(+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a #s(literal -1/48 binary64))))))
(+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a #s(literal -1/48 binary64))))))
(* -1/48 (pow a 3))
(*.f64 #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 a (*.f64 a #s(literal -1/48 binary64)))))
(* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48))
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a a)))))))
(* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48))
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a a)))))))
(* -1/48 (pow a 3))
(*.f64 #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 a (*.f64 a #s(literal -1/48 binary64)))))
(* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 2))))))
(*.f64 (*.f64 a a) (-.f64 (*.f64 a #s(literal -1/48 binary64)) (*.f64 (/.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) a) #s(literal 1 binary64))))
(* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 2))))))
(*.f64 (*.f64 a a) (-.f64 (*.f64 a #s(literal -1/48 binary64)) (*.f64 (/.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) a) #s(literal 1 binary64))))
(* 1/4 a)
(*.f64 a #s(literal 1/4 binary64))
(* a (+ 1/4 (* -1/48 (pow a 2))))
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a #s(literal -1/48 binary64)))))
(* a (+ 1/4 (* -1/48 (pow a 2))))
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a #s(literal -1/48 binary64)))))
(* a (+ 1/4 (* -1/48 (pow a 2))))
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a #s(literal -1/48 binary64)))))
(* -1/48 (pow a 3))
(*.f64 #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 a (*.f64 a #s(literal -1/48 binary64)))))
(* (pow a 3) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a #s(literal -1/48 binary64)))))
(* (pow a 3) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a #s(literal -1/48 binary64)))))
(* -1/48 (pow a 3))
(*.f64 #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 a (*.f64 a #s(literal -1/48 binary64)))))
(* -1 (* (pow a 3) (- 1/48 (* 1/4 (/ 1 (pow a 2))))))
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a #s(literal -1/48 binary64)))))
(* -1 (* (pow a 3) (- 1/48 (* 1/4 (/ 1 (pow a 2))))))
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a #s(literal -1/48 binary64)))))
1/4
#s(literal 1/4 binary64)
(+ 1/4 (* -1/48 (pow a 2)))
(+.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
(+ 1/4 (* -1/48 (pow a 2)))
(+.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
(+ 1/4 (* -1/48 (pow a 2)))
(+.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
(* -1/48 (pow a 2))
(*.f64 a (*.f64 a #s(literal -1/48 binary64)))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(+.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(+.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(+.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
(* -1/48 (pow a 2))
(*.f64 a (*.f64 a #s(literal -1/48 binary64)))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(+.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(+.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(+.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
(* -1/48 (pow a 2))
(*.f64 a (*.f64 a #s(literal -1/48 binary64)))
(* -1/48 (pow a 2))
(*.f64 a (*.f64 a #s(literal -1/48 binary64)))
(* -1/48 (pow a 2))
(*.f64 a (*.f64 a #s(literal -1/48 binary64)))
(* -1/48 (pow a 2))
(*.f64 a (*.f64 a #s(literal -1/48 binary64)))
(* -1/48 (pow a 2))
(*.f64 a (*.f64 a #s(literal -1/48 binary64)))
(* -1/48 (pow a 2))
(*.f64 a (*.f64 a #s(literal -1/48 binary64)))
(* -1/48 (pow a 2))
(*.f64 a (*.f64 a #s(literal -1/48 binary64)))
(* -1/48 (pow a 2))
(*.f64 a (*.f64 a #s(literal -1/48 binary64)))
(* -1/48 (pow a 2))
(*.f64 a (*.f64 a #s(literal -1/48 binary64)))
(* -1/48 (pow a 2))
(*.f64 a (*.f64 a #s(literal -1/48 binary64)))
(* -1/48 (pow a 2))
(*.f64 a (*.f64 a #s(literal -1/48 binary64)))
(* -1/48 (pow a 2))
(*.f64 a (*.f64 a #s(literal -1/48 binary64)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 b))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))
(+ 1/2 (* b (- (* 1/16 (pow b 2)) 1/4)))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 1/16 binary64) (*.f64 b b)))))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/16 (* -1/32 b))) 1/4)))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/16 binary64) (*.f64 b #s(literal -1/32 binary64)))))))
(/ 2 (pow b 2))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(/ (- 2 (* 4 (/ 1 b))) (pow b 2))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b)) (*.f64 b b))
(/ (- (+ 2 (/ 16 (pow b 3))) (* 4 (/ 1 b))) (pow b 2))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16 binary64) (*.f64 b b)) #s(literal -4 binary64)) b)) (*.f64 b b))
(/ (- (+ 2 (/ 16 (pow b 3))) (+ (* 4 (/ 1 b)) (* 32 (/ 1 (pow b 4))))) (pow b 2))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 16 binary64) (*.f64 b b)) #s(literal -4 binary64)) b) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 32 binary64) b) (*.f64 b (*.f64 b b))))) (*.f64 b b))
(/ 2 (pow b 2))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(/ (- 2 (* 4 (/ 1 b))) (pow b 2))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b)) (*.f64 b b))
(/ (+ 2 (* -1 (/ (- 4 (* 16 (/ 1 (pow b 2)))) b))) (pow b 2))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16 binary64) (*.f64 b b)) #s(literal -4 binary64)) b)) (*.f64 b b))
(/ (+ 2 (* -1 (/ (- (+ 4 (/ 32 (pow b 3))) (* 16 (/ 1 (pow b 2)))) b))) (pow b 2))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16 binary64) (*.f64 b b)) (-.f64 #s(literal -4 binary64) (/.f64 #s(literal 32 binary64) (*.f64 b (*.f64 b b))))) b)) (*.f64 b b))
2
#s(literal 2 binary64)
(+ 2 b)
(+.f64 #s(literal 2 binary64) b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))
(+ 2 (* b (+ 1 (* 1/2 b))))
(+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))
(* 1/2 (pow b 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 b b))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))
(* 1/2 (pow b 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 b b))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))
b
(* b (+ 1 (* 1/2 b)))
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))
(* b (+ 1 (* 1/2 b)))
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))
(* b (+ 1 (* 1/2 b)))
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))
(* 1/2 (pow b 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 b b))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))
(* 1/2 (pow b 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 b b))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 b))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))
(+ 1 (* 1/2 b))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))
(+ 1 (* 1/2 b))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* b (+ 1/2 (/ 1 b)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))
(* b (+ 1/2 (/ 1 b)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))
(* b (+ 1/2 (/ 1 b)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* b (+ 1/2 (/ 1 b)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))
(* b (+ 1/2 (/ 1 b)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))
(* b (+ 1/2 (/ 1 b)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)

eval75.0ms (0.8%)

Memory
13.4MiB live, 166.1MiB allocated
Compiler

Compiled 15 158 to 1 641 computations (89.2% saved)

prune83.0ms (0.9%)

Memory
-1.5MiB live, 217.0MiB allocated
Pruning

25 alts after pruning (18 fresh and 7 done)

PrunedKeptTotal
New61213625
Fresh156
Picked055
Done022
Total61325638
Accuracy
100.0%
Counts
638 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
34.4%
(/.f64 (+.f64 a #s(literal 1 binary64)) #s(literal 2 binary64))
31.5%
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) #s(literal -2 binary64)) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) #s(literal -2 binary64))))))) (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 b (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) #s(literal -2 binary64))))))
65.1%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
64.2%
(/.f64 (exp.f64 a) #s(literal 2 binary64))
19.1%
(/.f64 #s(literal 2 binary64) (*.f64 b b))
32.3%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 64 binary64) (*.f64 (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))) (*.f64 (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))) (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 8 binary64) (*.f64 b (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) #s(literal -2 binary64)))))))
37.0%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 (*.f64 (*.f64 b (*.f64 #s(literal 1/4 binary64) b)) (*.f64 b b)) (*.f64 b b)) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b b)) b))))
17.3%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.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 (*.f64 b b) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b b)) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b b)) b))))))
47.9%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))))
51.7%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (-.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/6 binary64))))))))
47.9%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))
47.8%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (*.f64 #s(literal 1/2 binary64) b))))
79.0%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
18.8%
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))
35.0%
(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64))) (*.f64 a (*.f64 #s(literal -1/48 binary64) (*.f64 a a))))
31.7%
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) #s(literal -1/480 binary64))))))))
31.2%
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 b b)))))
34.9%
(+.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)))))))
35.0%
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
35.0%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
32.1%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))
16.4%
(*.f64 (*.f64 a a) (-.f64 (*.f64 a #s(literal -1/48 binary64)) (*.f64 (/.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) a) #s(literal 1 binary64))))
3.8%
(*.f64 a #s(literal 1/4 binary64))
14.7%
(*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a)))
34.7%
#s(literal 1/2 binary64)
Compiler

Compiled 923 to 474 computations (48.6% saved)

simplify309.0ms (3.3%)

Memory
-11.9MiB live, 293.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 b (*.f64 b (+.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) #s(literal -1/480 binary64)))))
cost-diff0
(+.f64 #s(literal -1/4 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) #s(literal -1/480 binary64))))))
cost-diff0
(*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) #s(literal -1/480 binary64)))))))
cost-diff0
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) #s(literal -1/480 binary64))))))))
cost-diff0
(*.f64 a (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))
cost-diff0
(*.f64 a #s(literal 1/4 binary64))
cost-diff0
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
cost-diff128
(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64))) (*.f64 a (*.f64 #s(literal -1/48 binary64) (*.f64 a a))))
cost-diff0
(*.f64 a a)
cost-diff0
(*.f64 a (*.f64 a a))
cost-diff0
(*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a)))
cost-diff0
(*.f64 a #s(literal 1/4 binary64))
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 b (-.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/6 binary64)))))
cost-diff0
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (-.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/6 binary64))))))
cost-diff0
(+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (-.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/6 binary64)))))))
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (-.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/6 binary64))))))))
Rules
6 076×accelerator-lowering-fma.f32
6 076×accelerator-lowering-fma.f64
1 772×unsub-neg
1 702×*-lowering-*.f32
1 702×*-lowering-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034209
190207
2190207
3444207
4980207
51285207
61484207
71999207
82601207
92836207
103063207
114092207
124921207
135371207
145431207
155465207
165758207
175875207
185875207
195895207
205895207
215903207
05903182
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ 1 (+ 2 (* b (+ 1 (* b (- 1/2 (* b -1/6)))))))
1
(+ 2 (* b (+ 1 (* b (- 1/2 (* b -1/6))))))
2
(* b (+ 1 (* b (- 1/2 (* b -1/6)))))
b
(+ 1 (* b (- 1/2 (* b -1/6))))
(* b (- 1/2 (* b -1/6)))
(- 1/2 (* b -1/6))
1/2
(* b -1/6)
-1/6
(* a 1/4)
a
1/4
(* -1/48 (* a (* a a)))
-1/48
(* a (* a a))
a
(* a a)
(+ (+ 1/2 (* a 1/4)) (* a (* -1/48 (* a a))))
(+ 1/2 (* a 1/4))
1/2
(* a 1/4)
a
1/4
(* a (* -1/48 (* a a)))
(* -1/48 (* a a))
-1/48
(* a a)
(+ 1/2 (* b (+ -1/4 (* b (* b (+ 1/48 (* (* b b) -1/480)))))))
1/2
(* b (+ -1/4 (* b (* b (+ 1/48 (* (* b b) -1/480))))))
b
(+ -1/4 (* b (* b (+ 1/48 (* (* b b) -1/480)))))
-1/4
(* b (* b (+ 1/48 (* (* b b) -1/480))))
(* b (+ 1/48 (* (* b b) -1/480)))
(+ 1/48 (* (* b b) -1/480))
1/48
(* (* b b) -1/480)
(* b b)
-1/480
Outputs
(/ 1 (+ 2 (* b (+ 1 (* b (- 1/2 (* b -1/6)))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
1
#s(literal 1 binary64)
(+ 2 (* b (+ 1 (* b (- 1/2 (* b -1/6))))))
(+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))
2
#s(literal 2 binary64)
(* b (+ 1 (* b (- 1/2 (* b -1/6)))))
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))
b
(+ 1 (* b (- 1/2 (* b -1/6))))
(+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))
(* b (- 1/2 (* b -1/6)))
(*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))
(- 1/2 (* b -1/6))
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))
1/2
#s(literal 1/2 binary64)
(* b -1/6)
(*.f64 b #s(literal -1/6 binary64))
-1/6
#s(literal -1/6 binary64)
(* a 1/4)
(*.f64 a #s(literal 1/4 binary64))
a
1/4
#s(literal 1/4 binary64)
(* -1/48 (* a (* a a)))
(*.f64 (*.f64 a a) (*.f64 a #s(literal -1/48 binary64)))
-1/48
#s(literal -1/48 binary64)
(* a (* a a))
(*.f64 a (*.f64 a a))
a
(* a a)
(*.f64 a a)
(+ (+ 1/2 (* a 1/4)) (* a (* -1/48 (* a a))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a #s(literal -1/48 binary64))))))
(+ 1/2 (* a 1/4))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
1/2
#s(literal 1/2 binary64)
(* a 1/4)
(*.f64 a #s(literal 1/4 binary64))
a
1/4
#s(literal 1/4 binary64)
(* a (* -1/48 (* a a)))
(*.f64 (*.f64 a a) (*.f64 a #s(literal -1/48 binary64)))
(* -1/48 (* a a))
(*.f64 a (*.f64 a #s(literal -1/48 binary64)))
-1/48
#s(literal -1/48 binary64)
(* a a)
(*.f64 a a)
(+ 1/2 (* b (+ -1/4 (* b (* b (+ 1/48 (* (* b b) -1/480)))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) #s(literal -1/480 binary64)))))))
1/2
#s(literal 1/2 binary64)
(* b (+ -1/4 (* b (* b (+ 1/48 (* (* b b) -1/480))))))
(*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) #s(literal -1/480 binary64))))))
b
(+ -1/4 (* b (* b (+ 1/48 (* (* b b) -1/480)))))
(+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) #s(literal -1/480 binary64)))))
-1/4
#s(literal -1/4 binary64)
(* b (* b (+ 1/48 (* (* b b) -1/480))))
(*.f64 (*.f64 b b) (+.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) #s(literal -1/480 binary64))))
(* b (+ 1/48 (* (* b b) -1/480)))
(*.f64 b (+.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) #s(literal -1/480 binary64))))
(+ 1/48 (* (* b b) -1/480))
(+.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) #s(literal -1/480 binary64)))
1/48
#s(literal 1/48 binary64)
(* (* b b) -1/480)
(*.f64 (*.f64 b b) #s(literal -1/480 binary64))
(* b b)
(*.f64 b b)
-1/480
#s(literal -1/480 binary64)

localize111.0ms (1.2%)

Memory
29.0MiB live, 222.7MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) #s(literal -1/480 binary64)))))))
accuracy99.9%
(*.f64 b (*.f64 b (+.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) #s(literal -1/480 binary64)))))
accuracy99.8%
(*.f64 (*.f64 b b) #s(literal -1/480 binary64))
accuracy99.7%
(*.f64 b (+.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) #s(literal -1/480 binary64))))
accuracy100.0%
(*.f64 a #s(literal 1/4 binary64))
accuracy100.0%
(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64))) (*.f64 a (*.f64 #s(literal -1/48 binary64) (*.f64 a a))))
accuracy99.9%
(*.f64 a (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))
accuracy99.7%
(*.f64 #s(literal -1/48 binary64) (*.f64 a a))
accuracy100.0%
(*.f64 a a)
accuracy99.8%
(*.f64 a (*.f64 a a))
accuracy99.4%
(*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a)))
accuracy100.0%
(*.f64 a #s(literal 1/4 binary64))
accuracy99.9%
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (-.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/6 binary64))))))
accuracy99.9%
(*.f64 b (-.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/6 binary64))))
accuracy99.4%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (-.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/6 binary64))))))))
accuracy99.4%
(*.f64 b #s(literal -1/6 binary64))
Samples
67.0ms256×0valid
Compiler

Compiled 217 to 36 computations (83.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-mult: 24.0ms (48.8% of total)
...in/eval/compile.rkt:111:19: 14.0ms (28.4% of total)
ival-add: 8.0ms (16.3% of total)
ival-div: 2.0ms (4.1% of total)
ival-sub: 1.0ms (2% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:110:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series34.0ms (0.4%)

Memory
-32.2MiB live, 22.5MiB allocated
Counts
20 → 240
Calls
Call 1
Inputs
#<alt (/ 1 (+ 2 (* b (+ 1 (* b (- 1/2 (* b -1/6)))))))>
#<alt (+ 2 (* b (+ 1 (* b (- 1/2 (* b -1/6))))))>
#<alt (* b (+ 1 (* b (- 1/2 (* b -1/6)))))>
#<alt (+ 1 (* b (- 1/2 (* b -1/6))))>
#<alt (* a 1/4)>
#<alt (* -1/48 (* a (* a a)))>
#<alt (* a (* a a))>
#<alt (* a a)>
#<alt (+ (+ 1/2 (* a 1/4)) (* a (* -1/48 (* a a))))>
#<alt (+ 1/2 (* a 1/4))>
#<alt (* a (* -1/48 (* a a)))>
#<alt (+ 1/2 (* b (+ -1/4 (* b (* b (+ 1/48 (* (* b b) -1/480)))))))>
#<alt (* b (+ -1/4 (* b (* b (+ 1/48 (* (* b b) -1/480))))))>
#<alt (+ -1/4 (* b (* b (+ 1/48 (* (* b b) -1/480)))))>
#<alt (* b (* b (+ 1/48 (* (* b b) -1/480))))>
#<alt (* b -1/6)>
#<alt (* b (- 1/2 (* b -1/6)))>
#<alt (* -1/48 (* a a))>
#<alt (* b (+ 1/48 (* (* b b) -1/480)))>
#<alt (* (* b b) -1/480)>
Outputs
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 b))>
#<alt (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))>
#<alt (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* 1/96 b))) 1/4)))>
#<alt (/ 6 (pow b 3))>
#<alt (/ (- 6 (* 18 (/ 1 b))) (pow b 3))>
#<alt (/ (- (+ 6 (/ 18 (pow b 2))) (* 18 (/ 1 b))) (pow b 3))>
#<alt (/ (- (+ 6 (/ 18 (pow b 2))) (+ (* 18 (/ 1 b)) (* 18 (/ 1 (pow b 3))))) (pow b 3))>
#<alt (/ 6 (pow b 3))>
#<alt (* -1 (/ (- (* 18 (/ 1 b)) 6) (pow b 3)))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 18 (/ 1 b)) 18) b)) 6) (pow b 3)))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 18 (/ 1 b)) 18) b)) 18) b)) 6) (pow b 3)))>
#<alt 2>
#<alt (+ 2 b)>
#<alt (+ 2 (* b (+ 1 (* 1/2 b))))>
#<alt (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))>
#<alt (* 1/6 (pow b 3))>
#<alt (* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))>
#<alt (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (* 2 (/ 1 (pow b 3)))))))>
#<alt (* 1/6 (pow b 3))>
#<alt (* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))>
#<alt (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))) b)) 1/6)))>
#<alt b>
#<alt (* b (+ 1 (* 1/2 b)))>
#<alt (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))>
#<alt (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))>
#<alt (* 1/6 (pow b 3))>
#<alt (* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))>
#<alt (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))>
#<alt (* 1/6 (pow b 3))>
#<alt (* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))>
#<alt (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))>
#<alt 1>
#<alt (+ 1 (* 1/2 b))>
#<alt (+ 1 (* b (+ 1/2 (* 1/6 b))))>
#<alt (+ 1 (* b (+ 1/2 (* 1/6 b))))>
#<alt (* 1/6 (pow b 2))>
#<alt (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))>
#<alt (* 1/6 (pow b 2))>
#<alt (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))>
#<alt (* 1/4 a)>
#<alt (* 1/4 a)>
#<alt (* 1/4 a)>
#<alt (* 1/4 a)>
#<alt (* 1/4 a)>
#<alt (* 1/4 a)>
#<alt (* 1/4 a)>
#<alt (* 1/4 a)>
#<alt (* 1/4 a)>
#<alt (* 1/4 a)>
#<alt (* 1/4 a)>
#<alt (* 1/4 a)>
#<alt (* -1/48 (pow a 3))>
#<alt (* -1/48 (pow a 3))>
#<alt (* -1/48 (pow a 3))>
#<alt (* -1/48 (pow a 3))>
#<alt (* -1/48 (pow a 3))>
#<alt (* -1/48 (pow a 3))>
#<alt (* -1/48 (pow a 3))>
#<alt (* -1/48 (pow a 3))>
#<alt (* -1/48 (pow a 3))>
#<alt (* -1/48 (pow a 3))>
#<alt (* -1/48 (pow a 3))>
#<alt (* -1/48 (pow a 3))>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 a))>
#<alt (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))>
#<alt (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))>
#<alt (* -1/48 (pow a 3))>
#<alt (* (pow a 3) (- (* 1/4 (/ 1 (pow a 2))) 1/48))>
#<alt (* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48))>
#<alt (* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48))>
#<alt (* -1/48 (pow a 3))>
#<alt (* -1 (* (pow a 3) (- 1/48 (* 1/4 (/ 1 (pow a 2))))))>
#<alt (* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 2))))))>
#<alt (* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 2))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 a))>
#<alt (+ 1/2 (* 1/4 a))>
#<alt (+ 1/2 (* 1/4 a))>
#<alt (* 1/4 a)>
#<alt (* a (+ 1/4 (* 1/2 (/ 1 a))))>
#<alt (* a (+ 1/4 (* 1/2 (/ 1 a))))>
#<alt (* a (+ 1/4 (* 1/2 (/ 1 a))))>
#<alt (* 1/4 a)>
#<alt (* a (+ 1/4 (* 1/2 (/ 1 a))))>
#<alt (* a (+ 1/4 (* 1/2 (/ 1 a))))>
#<alt (* a (+ 1/4 (* 1/2 (/ 1 a))))>
#<alt (* -1/48 (pow a 3))>
#<alt (* -1/48 (pow a 3))>
#<alt (* -1/48 (pow a 3))>
#<alt (* -1/48 (pow a 3))>
#<alt (* -1/48 (pow a 3))>
#<alt (* -1/48 (pow a 3))>
#<alt (* -1/48 (pow a 3))>
#<alt (* -1/48 (pow a 3))>
#<alt (* -1/48 (pow a 3))>
#<alt (* -1/48 (pow a 3))>
#<alt (* -1/48 (pow a 3))>
#<alt (* -1/48 (pow a 3))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 b))>
#<alt (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))>
#<alt (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))>
#<alt (* -1/480 (pow b 5))>
#<alt (* (pow b 5) (- (* 1/48 (/ 1 (pow b 2))) 1/480))>
#<alt (* (pow b 5) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))>
#<alt (* (pow b 5) (- (+ (* 1/48 (/ 1 (pow b 2))) (* 1/2 (/ 1 (pow b 5)))) (+ 1/480 (/ 1/4 (pow b 4)))))>
#<alt (* -1/480 (pow b 5))>
#<alt (* -1 (* (pow b 5) (- 1/480 (* 1/48 (/ 1 (pow b 2))))))>
#<alt (* -1 (* (pow b 5) (- (+ 1/480 (/ 1/4 (pow b 4))) (* 1/48 (/ 1 (pow b 2))))))>
#<alt (* -1 (* (pow b 5) (- (+ 1/480 (/ 1/4 (pow b 4))) (+ (* 1/48 (/ 1 (pow b 2))) (* 1/2 (/ 1 (pow b 5)))))))>
#<alt (* -1/4 b)>
#<alt (* b (- (* 1/48 (pow b 2)) 1/4))>
#<alt (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4))>
#<alt (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4))>
#<alt (* -1/480 (pow b 5))>
#<alt (* (pow b 5) (- (* 1/48 (/ 1 (pow b 2))) 1/480))>
#<alt (* (pow b 5) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))>
#<alt (* (pow b 5) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))>
#<alt (* -1/480 (pow b 5))>
#<alt (* -1 (* (pow b 5) (- 1/480 (* 1/48 (/ 1 (pow b 2))))))>
#<alt (* -1 (* (pow b 5) (- (+ 1/480 (/ 1/4 (pow b 4))) (* 1/48 (/ 1 (pow b 2))))))>
#<alt (* -1 (* (pow b 5) (- (+ 1/480 (/ 1/4 (pow b 4))) (* 1/48 (/ 1 (pow b 2))))))>
#<alt -1/4>
#<alt (- (* 1/48 (pow b 2)) 1/4)>
#<alt (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)>
#<alt (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)>
#<alt (* -1/480 (pow b 4))>
#<alt (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))>
#<alt (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))>
#<alt (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))>
#<alt (* -1/480 (pow b 4))>
#<alt (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))>
#<alt (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))>
#<alt (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))>
#<alt (* 1/48 (pow b 2))>
#<alt (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2))))>
#<alt (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2))))>
#<alt (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2))))>
#<alt (* -1/480 (pow b 4))>
#<alt (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))>
#<alt (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))>
#<alt (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))>
#<alt (* -1/480 (pow b 4))>
#<alt (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))>
#<alt (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))>
#<alt (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))>
#<alt (* -1/6 b)>
#<alt (* -1/6 b)>
#<alt (* -1/6 b)>
#<alt (* -1/6 b)>
#<alt (* -1/6 b)>
#<alt (* -1/6 b)>
#<alt (* -1/6 b)>
#<alt (* -1/6 b)>
#<alt (* -1/6 b)>
#<alt (* -1/6 b)>
#<alt (* -1/6 b)>
#<alt (* -1/6 b)>
#<alt (* 1/2 b)>
#<alt (* b (+ 1/2 (* 1/6 b)))>
#<alt (* b (+ 1/2 (* 1/6 b)))>
#<alt (* b (+ 1/2 (* 1/6 b)))>
#<alt (* 1/6 (pow b 2))>
#<alt (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* 1/6 (pow b 2))>
#<alt (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt (* 1/48 b)>
#<alt (* b (+ 1/48 (* -1/480 (pow b 2))))>
#<alt (* b (+ 1/48 (* -1/480 (pow b 2))))>
#<alt (* b (+ 1/48 (* -1/480 (pow b 2))))>
#<alt (* -1/480 (pow b 3))>
#<alt (* (pow b 3) (- (* 1/48 (/ 1 (pow b 2))) 1/480))>
#<alt (* (pow b 3) (- (* 1/48 (/ 1 (pow b 2))) 1/480))>
#<alt (* (pow b 3) (- (* 1/48 (/ 1 (pow b 2))) 1/480))>
#<alt (* -1/480 (pow b 3))>
#<alt (* -1 (* (pow b 3) (- 1/480 (* 1/48 (/ 1 (pow b 2))))))>
#<alt (* -1 (* (pow b 3) (- 1/480 (* 1/48 (/ 1 (pow b 2))))))>
#<alt (* -1 (* (pow b 3) (- 1/480 (* 1/48 (/ 1 (pow b 2))))))>
#<alt (* -1/480 (pow b 2))>
#<alt (* -1/480 (pow b 2))>
#<alt (* -1/480 (pow b 2))>
#<alt (* -1/480 (pow b 2))>
#<alt (* -1/480 (pow b 2))>
#<alt (* -1/480 (pow b 2))>
#<alt (* -1/480 (pow b 2))>
#<alt (* -1/480 (pow b 2))>
#<alt (* -1/480 (pow b 2))>
#<alt (* -1/480 (pow b 2))>
#<alt (* -1/480 (pow b 2))>
#<alt (* -1/480 (pow b 2))>
Calls

60 calls:

TimeVariablePointExpression
3.0ms
b
@inf
(+ 1/2 (* b (+ -1/4 (* b (* b (+ 1/48 (* (* b b) -1/480)))))))
0.0ms
b
@-inf
(+ 1/2 (* b (+ -1/4 (* b (* b (+ 1/48 (* (* b b) -1/480)))))))
0.0ms
b
@inf
(* b (* b (+ 1/48 (* (* b b) -1/480))))
0.0ms
b
@inf
(/ 1 (+ 2 (* b (+ 1 (* b (- 1/2 (* b -1/6)))))))
0.0ms
a
@0
(+ (+ 1/2 (* a 1/4)) (* a (* -1/48 (* a a))))

rewrite658.0ms (7%)

Memory
-102.2MiB live, 700.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 166×accelerator-lowering-fma.f32
4 166×accelerator-lowering-fma.f64
3 840×/-lowering-/.f32
3 840×/-lowering-/.f64
3 768×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034170
1199168
21621168
08108145
Stop Event
iter limit
node limit
Counts
20 → 529
Calls
Call 1
Inputs
(/ 1 (+ 2 (* b (+ 1 (* b (- 1/2 (* b -1/6)))))))
(+ 2 (* b (+ 1 (* b (- 1/2 (* b -1/6))))))
(* b (+ 1 (* b (- 1/2 (* b -1/6)))))
(+ 1 (* b (- 1/2 (* b -1/6))))
(* a 1/4)
(* -1/48 (* a (* a a)))
(* a (* a a))
(* a a)
(+ (+ 1/2 (* a 1/4)) (* a (* -1/48 (* a a))))
(+ 1/2 (* a 1/4))
(* a (* -1/48 (* a a)))
(+ 1/2 (* b (+ -1/4 (* b (* b (+ 1/48 (* (* b b) -1/480)))))))
(* b (+ -1/4 (* b (* b (+ 1/48 (* (* b b) -1/480))))))
(+ -1/4 (* b (* b (+ 1/48 (* (* b b) -1/480)))))
(* b (* b (+ 1/48 (* (* b b) -1/480))))
(* b -1/6)
(* b (- 1/2 (* b -1/6)))
(* -1/48 (* a a))
(* b (+ 1/48 (* (* b b) -1/480)))
(* (* b b) -1/480)
Outputs
(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))))
(-.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))) (/.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))))
(-.f64 (/.f64 (-.f64 #s(literal 2 binary64) b) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))) (/.f64 (*.f64 b (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))))
(-.f64 (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))))) (/.f64 (*.f64 #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 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))))))
(neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #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 1/6 binary64))))))))
(/.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) #s(literal -2 binary64)))) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) #s(literal -2 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))))))
(/.f64 (-.f64 #s(literal 0 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 0 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))))
(pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))))
(*.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))))))
(*.f64 (-.f64 #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 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))))
(*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))) #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) #s(literal -2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) #s(literal -2 binary64))))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))) (-.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))) #s(literal -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 b (+.f64 (*.f64 b (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))) #s(literal 2 binary64)))
(+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) #s(literal 2 binary64))
(+.f64 (/.f64 #s(literal 4 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)))))))) (neg.f64 (/.f64 (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))) (-.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))))
(+.f64 (+.f64 #s(literal 2 binary64) b) (*.f64 b (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))
(exp.f64 (neg.f64 (*.f64 (log.f64 (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 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))))))))
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(/.f64 (+.f64 (*.f64 #s(literal 1/110592 binary64) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/110592000 binary64))) (*.f64 b (*.f64 b b)))) (+.f64 (*.f64 (*.f64 b #s(literal 1/48 binary64)) (*.f64 b #s(literal 1/48 binary64))) (-.f64 (*.f64 (*.f64 b (*.f64 (*.f64 b b) #s(literal -1/480 binary64))) (*.f64 b (*.f64 (*.f64 b b) #s(literal -1/480 binary64)))) (*.f64 (*.f64 b #s(literal 1/48 binary64)) (*.f64 b (*.f64 (*.f64 b b) #s(literal -1/480 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 b #s(literal 1/48 binary64)) (*.f64 b #s(literal 1/48 binary64))) (*.f64 (*.f64 b (*.f64 (*.f64 b b) #s(literal -1/480 binary64))) (*.f64 b (*.f64 (*.f64 b b) #s(literal -1/480 binary64))))) (-.f64 (*.f64 b #s(literal 1/48 binary64)) (*.f64 b (*.f64 (*.f64 b b) #s(literal -1/480 binary64)))))
(/.f64 (*.f64 b (+.f64 #s(literal 1/110592 binary64) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/110592000 binary64))))) (+.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 (*.f64 b b) #s(literal -1/480 binary64)) (+.f64 (*.f64 (*.f64 b b) #s(literal -1/480 binary64)) #s(literal -1/48 binary64)))))
(/.f64 (*.f64 b (-.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64)))) (+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal 1/480 binary64) (*.f64 b b))))
(/.f64 (*.f64 (+.f64 #s(literal 1/110592 binary64) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/110592000 binary64)))) b) (+.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 (*.f64 b b) #s(literal -1/480 binary64)) (+.f64 (*.f64 (*.f64 b b) #s(literal -1/480 binary64)) #s(literal -1/48 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64))) b) (+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal 1/480 binary64) (*.f64 b b))))
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal 1/110592 binary64) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/110592000 binary64))) (*.f64 b (*.f64 b b))))) (neg.f64 (+.f64 (*.f64 (*.f64 b #s(literal 1/48 binary64)) (*.f64 b #s(literal 1/48 binary64))) (-.f64 (*.f64 (*.f64 b (*.f64 (*.f64 b b) #s(literal -1/480 binary64))) (*.f64 b (*.f64 (*.f64 b b) #s(literal -1/480 binary64)))) (*.f64 (*.f64 b #s(literal 1/48 binary64)) (*.f64 b (*.f64 (*.f64 b b) #s(literal -1/480 binary64))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 b #s(literal 1/48 binary64)) (*.f64 b #s(literal 1/48 binary64))) (*.f64 (*.f64 b (*.f64 (*.f64 b b) #s(literal -1/480 binary64))) (*.f64 b (*.f64 (*.f64 b b) #s(literal -1/480 binary64)))))) (neg.f64 (-.f64 (*.f64 b #s(literal 1/48 binary64)) (*.f64 b (*.f64 (*.f64 b b) #s(literal -1/480 binary64))))))
(/.f64 (neg.f64 (*.f64 b (+.f64 #s(literal 1/110592 binary64) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/110592000 binary64)))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 (*.f64 b b) #s(literal -1/480 binary64)) (+.f64 (*.f64 (*.f64 b b) #s(literal -1/480 binary64)) #s(literal -1/48 binary64))))))
(/.f64 (neg.f64 (*.f64 b (-.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal 1/480 binary64) (*.f64 b b)))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/110592 binary64) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/110592000 binary64)))) b)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 (*.f64 b b) #s(literal -1/480 binary64)) (+.f64 (*.f64 (*.f64 b b) #s(literal -1/480 binary64)) #s(literal -1/48 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64))) b)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal 1/480 binary64) (*.f64 b b)))))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/110592000 binary64))) (*.f64 b (*.f64 b b))) (*.f64 #s(literal 1/110592 binary64) (*.f64 b (*.f64 b b)))) (+.f64 (*.f64 (*.f64 b (*.f64 (*.f64 b b) #s(literal -1/480 binary64))) (*.f64 b (*.f64 (*.f64 b b) #s(literal -1/480 binary64)))) (-.f64 (*.f64 (*.f64 b #s(literal 1/48 binary64)) (*.f64 b #s(literal 1/48 binary64))) (*.f64 (*.f64 b (*.f64 (*.f64 b b) #s(literal -1/480 binary64))) (*.f64 b #s(literal 1/48 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 b (*.f64 (*.f64 b b) #s(literal -1/480 binary64))) (*.f64 b (*.f64 (*.f64 b b) #s(literal -1/480 binary64)))) (*.f64 (*.f64 b #s(literal 1/48 binary64)) (*.f64 b #s(literal 1/48 binary64)))) (-.f64 (*.f64 b (*.f64 (*.f64 b b) #s(literal -1/480 binary64))) (*.f64 b #s(literal 1/48 binary64))))
(*.f64 b (+.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) #s(literal -1/480 binary64))))
(*.f64 (+.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) #s(literal -1/480 binary64))) b)
(*.f64 (+.f64 (*.f64 #s(literal 1/110592 binary64) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/110592000 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 b #s(literal 1/48 binary64)) (*.f64 b #s(literal 1/48 binary64))) (-.f64 (*.f64 (*.f64 b (*.f64 (*.f64 b b) #s(literal -1/480 binary64))) (*.f64 b (*.f64 (*.f64 b b) #s(literal -1/480 binary64)))) (*.f64 (*.f64 b #s(literal 1/48 binary64)) (*.f64 b (*.f64 (*.f64 b b) #s(literal -1/480 binary64))))))))
(*.f64 (-.f64 (*.f64 (*.f64 b #s(literal 1/48 binary64)) (*.f64 b #s(literal 1/48 binary64))) (*.f64 (*.f64 b (*.f64 (*.f64 b b) #s(literal -1/480 binary64))) (*.f64 b (*.f64 (*.f64 b b) #s(literal -1/480 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b #s(literal 1/48 binary64)) (*.f64 b (*.f64 (*.f64 b b) #s(literal -1/480 binary64))))))
(*.f64 (*.f64 b (+.f64 #s(literal 1/110592 binary64) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/110592000 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 (*.f64 b b) #s(literal -1/480 binary64)) (+.f64 (*.f64 (*.f64 b b) #s(literal -1/480 binary64)) #s(literal -1/48 binary64))))))
(*.f64 (*.f64 b (-.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal 1/480 binary64) (*.f64 b b)))))
(*.f64 (*.f64 (+.f64 #s(literal 1/110592 binary64) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/110592000 binary64)))) b) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 (*.f64 b b) #s(literal -1/480 binary64)) (+.f64 (*.f64 (*.f64 b b) #s(literal -1/480 binary64)) #s(literal -1/48 binary64))))))
(*.f64 (*.f64 (-.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64))) b) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal 1/480 binary64) (*.f64 b b)))))
(*.f64 b (*.f64 b #s(literal -1/480 binary64)))
(*.f64 (*.f64 b b) #s(literal -1/480 binary64))
(*.f64 #s(literal -1/480 binary64) (*.f64 b b))
(*.f64 (*.f64 b #s(literal -1/480 binary64)) b)

simplify308.0ms (3.3%)

Memory
22.0MiB live, 568.7MiB allocated
Algorithm
egg-herbie
Rules
7 820×accelerator-lowering-fma.f32
7 820×accelerator-lowering-fma.f64
4 574×*-lowering-*.f32
4 574×*-lowering-*.f64
2 074×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01731751
14941742
215291717
350731688
082051591
Stop Event
iter limit
node limit
Counts
240 → 240
Calls
Call 1
Inputs
1/2
(+ 1/2 (* -1/4 b))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* 1/96 b))) 1/4)))
(/ 6 (pow b 3))
(/ (- 6 (* 18 (/ 1 b))) (pow b 3))
(/ (- (+ 6 (/ 18 (pow b 2))) (* 18 (/ 1 b))) (pow b 3))
(/ (- (+ 6 (/ 18 (pow b 2))) (+ (* 18 (/ 1 b)) (* 18 (/ 1 (pow b 3))))) (pow b 3))
(/ 6 (pow b 3))
(* -1 (/ (- (* 18 (/ 1 b)) 6) (pow b 3)))
(* -1 (/ (- (* -1 (/ (- (* 18 (/ 1 b)) 18) b)) 6) (pow b 3)))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 18 (/ 1 b)) 18) b)) 18) b)) 6) (pow b 3)))
2
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(* 1/6 (pow b 3))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (* 2 (/ 1 (pow b 3)))))))
(* 1/6 (pow b 3))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))) b)) 1/6)))
b
(* b (+ 1 (* 1/2 b)))
(* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))
(* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))
(* 1/6 (pow b 3))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* 1/6 (pow b 3))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))
1
(+ 1 (* 1/2 b))
(+ 1 (* b (+ 1/2 (* 1/6 b))))
(+ 1 (* b (+ 1/2 (* 1/6 b))))
(* 1/6 (pow b 2))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* 1/6 (pow b 2))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* 1/4 a)
(* 1/4 a)
(* 1/4 a)
(* 1/4 a)
(* 1/4 a)
(* 1/4 a)
(* 1/4 a)
(* 1/4 a)
(* 1/4 a)
(* 1/4 a)
(* 1/4 a)
(* 1/4 a)
(* -1/48 (pow a 3))
(* -1/48 (pow a 3))
(* -1/48 (pow a 3))
(* -1/48 (pow a 3))
(* -1/48 (pow a 3))
(* -1/48 (pow a 3))
(* -1/48 (pow a 3))
(* -1/48 (pow a 3))
(* -1/48 (pow a 3))
(* -1/48 (pow a 3))
(* -1/48 (pow a 3))
(* -1/48 (pow a 3))
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
1/2
(+ 1/2 (* 1/4 a))
(+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))
(+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))
(* -1/48 (pow a 3))
(* (pow a 3) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48))
(* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48))
(* -1/48 (pow a 3))
(* -1 (* (pow a 3) (- 1/48 (* 1/4 (/ 1 (pow a 2))))))
(* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 2))))))
(* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 2))))))
1/2
(+ 1/2 (* 1/4 a))
(+ 1/2 (* 1/4 a))
(+ 1/2 (* 1/4 a))
(* 1/4 a)
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(* 1/4 a)
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(* -1/48 (pow a 3))
(* -1/48 (pow a 3))
(* -1/48 (pow a 3))
(* -1/48 (pow a 3))
(* -1/48 (pow a 3))
(* -1/48 (pow a 3))
(* -1/48 (pow a 3))
(* -1/48 (pow a 3))
(* -1/48 (pow a 3))
(* -1/48 (pow a 3))
(* -1/48 (pow a 3))
(* -1/48 (pow a 3))
1/2
(+ 1/2 (* -1/4 b))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
(* -1/480 (pow b 5))
(* (pow b 5) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* (pow b 5) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))
(* (pow b 5) (- (+ (* 1/48 (/ 1 (pow b 2))) (* 1/2 (/ 1 (pow b 5)))) (+ 1/480 (/ 1/4 (pow b 4)))))
(* -1/480 (pow b 5))
(* -1 (* (pow b 5) (- 1/480 (* 1/48 (/ 1 (pow b 2))))))
(* -1 (* (pow b 5) (- (+ 1/480 (/ 1/4 (pow b 4))) (* 1/48 (/ 1 (pow b 2))))))
(* -1 (* (pow b 5) (- (+ 1/480 (/ 1/4 (pow b 4))) (+ (* 1/48 (/ 1 (pow b 2))) (* 1/2 (/ 1 (pow b 5)))))))
(* -1/4 b)
(* b (- (* 1/48 (pow b 2)) 1/4))
(* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4))
(* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4))
(* -1/480 (pow b 5))
(* (pow b 5) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* (pow b 5) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))
(* (pow b 5) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))
(* -1/480 (pow b 5))
(* -1 (* (pow b 5) (- 1/480 (* 1/48 (/ 1 (pow b 2))))))
(* -1 (* (pow b 5) (- (+ 1/480 (/ 1/4 (pow b 4))) (* 1/48 (/ 1 (pow b 2))))))
(* -1 (* (pow b 5) (- (+ 1/480 (/ 1/4 (pow b 4))) (* 1/48 (/ 1 (pow b 2))))))
-1/4
(- (* 1/48 (pow b 2)) 1/4)
(- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)
(- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)
(* -1/480 (pow b 4))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))
(* -1/480 (pow b 4))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))
(* 1/48 (pow b 2))
(* (pow b 2) (+ 1/48 (* -1/480 (pow b 2))))
(* (pow b 2) (+ 1/48 (* -1/480 (pow b 2))))
(* (pow b 2) (+ 1/48 (* -1/480 (pow b 2))))
(* -1/480 (pow b 4))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* -1/480 (pow b 4))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* -1/6 b)
(* -1/6 b)
(* -1/6 b)
(* -1/6 b)
(* -1/6 b)
(* -1/6 b)
(* -1/6 b)
(* -1/6 b)
(* -1/6 b)
(* -1/6 b)
(* -1/6 b)
(* -1/6 b)
(* 1/2 b)
(* b (+ 1/2 (* 1/6 b)))
(* b (+ 1/2 (* 1/6 b)))
(* b (+ 1/2 (* 1/6 b)))
(* 1/6 (pow b 2))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(* 1/6 (pow b 2))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
(* 1/48 b)
(* b (+ 1/48 (* -1/480 (pow b 2))))
(* b (+ 1/48 (* -1/480 (pow b 2))))
(* b (+ 1/48 (* -1/480 (pow b 2))))
(* -1/480 (pow b 3))
(* (pow b 3) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* (pow b 3) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* (pow b 3) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* -1/480 (pow b 3))
(* -1 (* (pow b 3) (- 1/480 (* 1/48 (/ 1 (pow b 2))))))
(* -1 (* (pow b 3) (- 1/480 (* 1/48 (/ 1 (pow b 2))))))
(* -1 (* (pow b 3) (- 1/480 (* 1/48 (/ 1 (pow b 2))))))
(* -1/480 (pow b 2))
(* -1/480 (pow b 2))
(* -1/480 (pow b 2))
(* -1/480 (pow b 2))
(* -1/480 (pow b 2))
(* -1/480 (pow b 2))
(* -1/480 (pow b 2))
(* -1/480 (pow b 2))
(* -1/480 (pow b 2))
(* -1/480 (pow b 2))
(* -1/480 (pow b 2))
(* -1/480 (pow b 2))
Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 b))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 b (*.f64 b #s(literal 1/48 binary64))))))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* 1/96 b))) 1/4)))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/48 binary64) (*.f64 b #s(literal 1/96 binary64)))))))
(/ 6 (pow b 3))
(/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))
(/ (- 6 (* 18 (/ 1 b))) (pow b 3))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) b)) (*.f64 b (*.f64 b b)))
(/ (- (+ 6 (/ 18 (pow b 2))) (* 18 (/ 1 b))) (pow b 3))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 18 binary64) b) #s(literal -18 binary64)) b)) (*.f64 b (*.f64 b b)))
(/ (- (+ 6 (/ 18 (pow b 2))) (+ (* 18 (/ 1 b)) (* 18 (/ 1 (pow b 3))))) (pow b 3))
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(+.f64 #s(literal -1/4 binary64) (*.f64 b (*.f64 b #s(literal 1/48 binary64))))
(- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)
(+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/48 binary64) (*.f64 b (*.f64 b #s(literal -1/480 binary64))))))
(- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)
(+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/48 binary64) (*.f64 b (*.f64 b #s(literal -1/480 binary64))))))
(* -1/480 (pow b 4))
(*.f64 (*.f64 b b) (*.f64 b (*.f64 b #s(literal -1/480 binary64))))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(*.f64 (+.f64 #s(literal -1/480 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 b b))) (*.f64 b (*.f64 b (*.f64 b b))))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal -1/480 binary64) (+.f64 (/.f64 #s(literal 1/48 binary64) (*.f64 b b)) (/.f64 #s(literal -1/4 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal -1/480 binary64) (+.f64 (/.f64 #s(literal 1/48 binary64) (*.f64 b b)) (/.f64 #s(literal -1/4 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))))
(* -1/480 (pow b 4))
(*.f64 (*.f64 b b) (*.f64 b (*.f64 b #s(literal -1/480 binary64))))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(*.f64 (+.f64 #s(literal -1/480 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 b b))) (*.f64 b (*.f64 b (*.f64 b b))))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal -1/480 binary64) (+.f64 (/.f64 #s(literal 1/48 binary64) (*.f64 b b)) (/.f64 #s(literal -1/4 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal -1/480 binary64) (+.f64 (/.f64 #s(literal 1/48 binary64) (*.f64 b b)) (/.f64 #s(literal -1/4 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))))
(* 1/48 (pow b 2))
(*.f64 b (*.f64 b #s(literal 1/48 binary64)))
(* (pow b 2) (+ 1/48 (* -1/480 (pow b 2))))
(*.f64 (*.f64 b b) (+.f64 #s(literal 1/48 binary64) (*.f64 b (*.f64 b #s(literal -1/480 binary64)))))
(* (pow b 2) (+ 1/48 (* -1/480 (pow b 2))))
(*.f64 (*.f64 b b) (+.f64 #s(literal 1/48 binary64) (*.f64 b (*.f64 b #s(literal -1/480 binary64)))))
(* (pow b 2) (+ 1/48 (* -1/480 (pow b 2))))
(*.f64 (*.f64 b b) (+.f64 #s(literal 1/48 binary64) (*.f64 b (*.f64 b #s(literal -1/480 binary64)))))
(* -1/480 (pow b 4))
(*.f64 (*.f64 b b) (*.f64 b (*.f64 b #s(literal -1/480 binary64))))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(*.f64 (+.f64 #s(literal -1/480 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 b b))) (*.f64 b (*.f64 b (*.f64 b b))))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(*.f64 (+.f64 #s(literal -1/480 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 b b))) (*.f64 b (*.f64 b (*.f64 b b))))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(*.f64 (+.f64 #s(literal -1/480 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 b b))) (*.f64 b (*.f64 b (*.f64 b b))))
(* -1/480 (pow b 4))
(*.f64 (*.f64 b b) (*.f64 b (*.f64 b #s(literal -1/480 binary64))))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(*.f64 (+.f64 #s(literal -1/480 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 b b))) (*.f64 b (*.f64 b (*.f64 b b))))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(*.f64 (+.f64 #s(literal -1/480 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 b b))) (*.f64 b (*.f64 b (*.f64 b b))))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(*.f64 (+.f64 #s(literal -1/480 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 b b))) (*.f64 b (*.f64 b (*.f64 b b))))
(* -1/6 b)
(*.f64 b #s(literal -1/6 binary64))
(* -1/6 b)
(*.f64 b #s(literal -1/6 binary64))
(* -1/6 b)
(*.f64 b #s(literal -1/6 binary64))
(* -1/6 b)
(*.f64 b #s(literal -1/6 binary64))
(* -1/6 b)
(*.f64 b #s(literal -1/6 binary64))
(* -1/6 b)
(*.f64 b #s(literal -1/6 binary64))
(* -1/6 b)
(*.f64 b #s(literal -1/6 binary64))
(* -1/6 b)
(*.f64 b #s(literal -1/6 binary64))
(* -1/6 b)
(*.f64 b #s(literal -1/6 binary64))
(* -1/6 b)
(*.f64 b #s(literal -1/6 binary64))
(* -1/6 b)
(*.f64 b #s(literal -1/6 binary64))
(* -1/6 b)
(*.f64 b #s(literal -1/6 binary64))
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* b (+ 1/2 (* 1/6 b)))
(*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))
(* b (+ 1/2 (* 1/6 b)))
(*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))
(* b (+ 1/2 (* 1/6 b)))
(*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))
(* 1/6 (pow b 2))
(*.f64 (*.f64 b b) #s(literal 1/6 binary64))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))
(* 1/6 (pow b 2))
(*.f64 (*.f64 b b) #s(literal 1/6 binary64))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))
(* -1/48 (pow a 2))
(*.f64 a (*.f64 a #s(literal -1/48 binary64)))
(* -1/48 (pow a 2))
(*.f64 a (*.f64 a #s(literal -1/48 binary64)))
(* -1/48 (pow a 2))
(*.f64 a (*.f64 a #s(literal -1/48 binary64)))
(* -1/48 (pow a 2))
(*.f64 a (*.f64 a #s(literal -1/48 binary64)))
(* -1/48 (pow a 2))
(*.f64 a (*.f64 a #s(literal -1/48 binary64)))
(* -1/48 (pow a 2))
(*.f64 a (*.f64 a #s(literal -1/48 binary64)))
(* -1/48 (pow a 2))
(*.f64 a (*.f64 a #s(literal -1/48 binary64)))
(* -1/48 (pow a 2))
(*.f64 a (*.f64 a #s(literal -1/48 binary64)))
(* -1/48 (pow a 2))
(*.f64 a (*.f64 a #s(literal -1/48 binary64)))
(* -1/48 (pow a 2))
(*.f64 a (*.f64 a #s(literal -1/48 binary64)))
(* -1/48 (pow a 2))
(*.f64 a (*.f64 a #s(literal -1/48 binary64)))
(* -1/48 (pow a 2))
(*.f64 a (*.f64 a #s(literal -1/48 binary64)))
(* 1/48 b)
(*.f64 b #s(literal 1/48 binary64))
(* b (+ 1/48 (* -1/480 (pow b 2))))
(*.f64 b (+.f64 #s(literal 1/48 binary64) (*.f64 b (*.f64 b #s(literal -1/480 binary64)))))
(* b (+ 1/48 (* -1/480 (pow b 2))))
(*.f64 b (+.f64 #s(literal 1/48 binary64) (*.f64 b (*.f64 b #s(literal -1/480 binary64)))))
(* b (+ 1/48 (* -1/480 (pow b 2))))
(*.f64 b (+.f64 #s(literal 1/48 binary64) (*.f64 b (*.f64 b #s(literal -1/480 binary64)))))
(* -1/480 (pow b 3))
(*.f64 b (*.f64 b (*.f64 b #s(literal -1/480 binary64))))
(* (pow b 3) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(*.f64 b (+.f64 #s(literal 1/48 binary64) (*.f64 b (*.f64 b #s(literal -1/480 binary64)))))
(* (pow b 3) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(*.f64 b (+.f64 #s(literal 1/48 binary64) (*.f64 b (*.f64 b #s(literal -1/480 binary64)))))
(* (pow b 3) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(*.f64 b (+.f64 #s(literal 1/48 binary64) (*.f64 b (*.f64 b #s(literal -1/480 binary64)))))
(* -1/480 (pow b 3))
(*.f64 b (*.f64 b (*.f64 b #s(literal -1/480 binary64))))
(* -1 (* (pow b 3) (- 1/480 (* 1/48 (/ 1 (pow b 2))))))
(*.f64 b (+.f64 #s(literal 1/48 binary64) (*.f64 b (*.f64 b #s(literal -1/480 binary64)))))
(* -1 (* (pow b 3) (- 1/480 (* 1/48 (/ 1 (pow b 2))))))
(*.f64 b (+.f64 #s(literal 1/48 binary64) (*.f64 b (*.f64 b #s(literal -1/480 binary64)))))
(* -1 (* (pow b 3) (- 1/480 (* 1/48 (/ 1 (pow b 2))))))
(*.f64 b (+.f64 #s(literal 1/48 binary64) (*.f64 b (*.f64 b #s(literal -1/480 binary64)))))
(* -1/480 (pow b 2))
(*.f64 b (*.f64 b #s(literal -1/480 binary64)))
(* -1/480 (pow b 2))
(*.f64 b (*.f64 b #s(literal -1/480 binary64)))
(* -1/480 (pow b 2))
(*.f64 b (*.f64 b #s(literal -1/480 binary64)))
(* -1/480 (pow b 2))
(*.f64 b (*.f64 b #s(literal -1/480 binary64)))
(* -1/480 (pow b 2))
(*.f64 b (*.f64 b #s(literal -1/480 binary64)))
(* -1/480 (pow b 2))
(*.f64 b (*.f64 b #s(literal -1/480 binary64)))
(* -1/480 (pow b 2))
(*.f64 b (*.f64 b #s(literal -1/480 binary64)))
(* -1/480 (pow b 2))
(*.f64 b (*.f64 b #s(literal -1/480 binary64)))
(* -1/480 (pow b 2))
(*.f64 b (*.f64 b #s(literal -1/480 binary64)))
(* -1/480 (pow b 2))
(*.f64 b (*.f64 b #s(literal -1/480 binary64)))
(* -1/480 (pow b 2))
(*.f64 b (*.f64 b #s(literal -1/480 binary64)))
(* -1/480 (pow b 2))
(*.f64 b (*.f64 b #s(literal -1/480 binary64)))

eval114.0ms (1.2%)

Memory
-17.6MiB live, 186.5MiB allocated
Compiler

Compiled 24 749 to 2 209 computations (91.1% saved)

prune102.0ms (1.1%)

Memory
-6.9MiB live, 231.0MiB allocated
Pruning

33 alts after pruning (23 fresh and 10 done)

PrunedKeptTotal
New78615801
Fresh5813
Picked235
Done077
Total79333826
Accuracy
100.0%
Counts
826 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
35.1%
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))))
34.4%
(/.f64 (+.f64 a #s(literal 1 binary64)) #s(literal 2 binary64))
31.5%
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) #s(literal -2 binary64)) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) #s(literal -2 binary64))))))) (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 b (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) #s(literal -2 binary64))))))
65.1%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
64.2%
(/.f64 (exp.f64 a) #s(literal 2 binary64))
22.3%
(/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))
19.1%
(/.f64 #s(literal 2 binary64) (*.f64 b b))
32.3%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 64 binary64) (*.f64 (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))) (*.f64 (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))) (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 8 binary64) (*.f64 b (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) #s(literal -2 binary64)))))))
37.0%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 (*.f64 (*.f64 b (*.f64 #s(literal 1/4 binary64) b)) (*.f64 b b)) (*.f64 b b)) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b b)) b))))
37.9%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))) b) (-.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
37.9%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))) b)))))
51.7%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b b) #s(literal 1/36 binary64))) b) (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/6 binary64))))))))
36.8%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64))) b) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b #s(literal -1/6 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/6 binary64))))))))))
51.7%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))))
51.6%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))))))
47.9%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))
47.8%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (*.f64 #s(literal 1/2 binary64) b))))
79.0%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
22.9%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))
42.4%
(/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (*.f64 b (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b)))) b))))))
35.0%
(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64))) (*.f64 a (*.f64 #s(literal -1/48 binary64) (*.f64 a a))))
31.7%
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 b (*.f64 b (+.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) #s(literal -1/480 binary64))))))))
31.2%
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 b (*.f64 b #s(literal 1/48 binary64))))))
32.1%
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64)))
34.9%
(+.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)))))))
35.0%
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
35.0%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
8.6%
(*.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))))
8.6%
(*.f64 (*.f64 a (*.f64 a a)) (+.f64 #s(literal -1/48 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)))))
14.7%
(*.f64 (*.f64 a (*.f64 a #s(literal -1/48 binary64))) a)
16.4%
(*.f64 (*.f64 a a) (-.f64 (*.f64 a #s(literal -1/48 binary64)) (*.f64 (/.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) a) #s(literal 1 binary64))))
3.8%
(*.f64 a #s(literal 1/4 binary64))
34.7%
#s(literal 1/2 binary64)
Compiler

Compiled 1 444 to 604 computations (58.2% saved)

regimes62.0ms (0.7%)

Memory
-13.0MiB live, 106.5MiB allocated
Counts
42 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 a #s(literal 1/4 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
(+.f64 #s(literal 1/2 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 (+.f64 a #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a)))
(*.f64 (*.f64 a (*.f64 a #s(literal -1/48 binary64))) a)
(/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (*.f64 #s(literal 1/2 binary64) b))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 b b)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 b (*.f64 b #s(literal 1/48 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b 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 #s(literal 1/2 binary64) b)))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64))) (*.f64 a (*.f64 #s(literal -1/48 binary64) (*.f64 a a))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (-.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/6 binary64))))))))
(*.f64 (*.f64 a a) (-.f64 (*.f64 a #s(literal -1/48 binary64)) (*.f64 (/.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) a) #s(literal 1 binary64))))
(*.f64 (*.f64 a (*.f64 a a)) (+.f64 #s(literal -1/48 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 a a))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.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 b (*.f64 b (+.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) #s(literal -1/480 binary64))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))))
(*.f64 (*.f64 a (*.f64 a a)) (+.f64 #s(literal -1/48 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)))))
(/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (*.f64 b (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b)))) b))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b b) #s(literal 1/36 binary64))) b) (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/6 binary64))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 (*.f64 (*.f64 b (*.f64 #s(literal 1/4 binary64) b)) (*.f64 b b)) (*.f64 b b)) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b b)) b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64))) b) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b #s(literal -1/6 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/6 binary64))))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))) b) (-.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))) b)))))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.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 (*.f64 b b) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b b)) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b b)) b))))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) #s(literal -2 binary64)) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) #s(literal -2 binary64))))))) (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 b (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) #s(literal -2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 64 binary64) (*.f64 (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))) (*.f64 (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))) (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 8 binary64) (*.f64 b (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) #s(literal -2 binary64)))))))
(/.f64 (exp.f64 a) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Calls

5 calls:

13.0ms
b
12.0ms
a
11.0ms
(exp.f64 a)
10.0ms
(exp.f64 b)
9.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Results
AccuracySegmentsBranch
99.2%1a
99.2%1b
99.2%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
99.2%1(exp.f64 a)
99.2%1(exp.f64 b)
Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes48.0ms (0.5%)

Memory
19.8MiB live, 98.1MiB allocated
Counts
41 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 a #s(literal 1/4 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
(+.f64 #s(literal 1/2 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 (+.f64 a #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a)))
(*.f64 (*.f64 a (*.f64 a #s(literal -1/48 binary64))) a)
(/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (*.f64 #s(literal 1/2 binary64) b))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 b b)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 b (*.f64 b #s(literal 1/48 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b 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 #s(literal 1/2 binary64) b)))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64))) (*.f64 a (*.f64 #s(literal -1/48 binary64) (*.f64 a a))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (-.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/6 binary64))))))))
(*.f64 (*.f64 a a) (-.f64 (*.f64 a #s(literal -1/48 binary64)) (*.f64 (/.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) a) #s(literal 1 binary64))))
(*.f64 (*.f64 a (*.f64 a a)) (+.f64 #s(literal -1/48 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 a a))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.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 b (*.f64 b (+.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) #s(literal -1/480 binary64))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))))
(*.f64 (*.f64 a (*.f64 a a)) (+.f64 #s(literal -1/48 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)))))
(/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (*.f64 b (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b)))) b))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b b) #s(literal 1/36 binary64))) b) (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/6 binary64))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 (*.f64 (*.f64 b (*.f64 #s(literal 1/4 binary64) b)) (*.f64 b b)) (*.f64 b b)) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b b)) b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64))) b) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b #s(literal -1/6 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/6 binary64))))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))) b) (-.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))) b)))))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.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 (*.f64 b b) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b b)) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b b)) b))))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) #s(literal -2 binary64)) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) #s(literal -2 binary64))))))) (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 b (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) #s(literal -2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 64 binary64) (*.f64 (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))) (*.f64 (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))) (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 8 binary64) (*.f64 b (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) #s(literal -2 binary64)))))))
(/.f64 (exp.f64 a) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
Outputs
(/.f64 (exp.f64 a) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
Calls

4 calls:

12.0ms
a
12.0ms
b
9.0ms
(exp.f64 b)
9.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
98.7%2a
99.6%3b
98.7%2(exp.f64 a)
99.6%3(exp.f64 b)
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes40.0ms (0.4%)

Memory
-3.5MiB live, 82.7MiB allocated
Counts
39 → 3
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 a #s(literal 1/4 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
(+.f64 #s(literal 1/2 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 (+.f64 a #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a)))
(*.f64 (*.f64 a (*.f64 a #s(literal -1/48 binary64))) a)
(/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (*.f64 #s(literal 1/2 binary64) b))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 b b)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 b (*.f64 b #s(literal 1/48 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b 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 #s(literal 1/2 binary64) b)))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64))) (*.f64 a (*.f64 #s(literal -1/48 binary64) (*.f64 a a))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (-.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/6 binary64))))))))
(*.f64 (*.f64 a a) (-.f64 (*.f64 a #s(literal -1/48 binary64)) (*.f64 (/.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) a) #s(literal 1 binary64))))
(*.f64 (*.f64 a (*.f64 a a)) (+.f64 #s(literal -1/48 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 a a))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.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 b (*.f64 b (+.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) #s(literal -1/480 binary64))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))))
(*.f64 (*.f64 a (*.f64 a a)) (+.f64 #s(literal -1/48 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)))))
(/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (*.f64 b (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b)))) b))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b b) #s(literal 1/36 binary64))) b) (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/6 binary64))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 (*.f64 (*.f64 b (*.f64 #s(literal 1/4 binary64) b)) (*.f64 b b)) (*.f64 b b)) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b b)) b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64))) b) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b #s(literal -1/6 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/6 binary64))))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))) b) (-.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))) b)))))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.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 (*.f64 b b) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b b)) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b b)) b))))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) #s(literal -2 binary64)) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) #s(literal -2 binary64))))))) (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 b (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) #s(literal -2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 64 binary64) (*.f64 (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))) (*.f64 (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))) (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 8 binary64) (*.f64 b (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) #s(literal -2 binary64)))))))
(/.f64 (exp.f64 a) #s(literal 2 binary64))
Outputs
(/.f64 (exp.f64 a) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))))
(/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))
Calls

3 calls:

12.0ms
(exp.f64 a)
12.0ms
b
11.0ms
a
Results
AccuracySegmentsBranch
80.4%3b
75.5%2a
75.5%2(exp.f64 a)
Compiler

Compiled 10 to 7 computations (30% saved)

regimes26.0ms (0.3%)

Memory
15.5MiB live, 54.7MiB allocated
Counts
38 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 a #s(literal 1/4 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
(+.f64 #s(literal 1/2 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 (+.f64 a #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a)))
(*.f64 (*.f64 a (*.f64 a #s(literal -1/48 binary64))) a)
(/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (*.f64 #s(literal 1/2 binary64) b))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 b b)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 b (*.f64 b #s(literal 1/48 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b 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 #s(literal 1/2 binary64) b)))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64))) (*.f64 a (*.f64 #s(literal -1/48 binary64) (*.f64 a a))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (-.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/6 binary64))))))))
(*.f64 (*.f64 a a) (-.f64 (*.f64 a #s(literal -1/48 binary64)) (*.f64 (/.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) a) #s(literal 1 binary64))))
(*.f64 (*.f64 a (*.f64 a a)) (+.f64 #s(literal -1/48 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 a a))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.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 b (*.f64 b (+.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) #s(literal -1/480 binary64))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))))
(*.f64 (*.f64 a (*.f64 a a)) (+.f64 #s(literal -1/48 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)))))
(/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (*.f64 b (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b)))) b))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b b) #s(literal 1/36 binary64))) b) (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/6 binary64))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 (*.f64 (*.f64 b (*.f64 #s(literal 1/4 binary64) b)) (*.f64 b b)) (*.f64 b b)) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b b)) b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 1/216 binary64))) b) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b #s(literal -1/6 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/6 binary64))))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))) b) (-.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))) b)))))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.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 (*.f64 b b) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b b)) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b b)) b))))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) #s(literal -2 binary64)) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) #s(literal -2 binary64))))))) (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 b (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) #s(literal -2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 64 binary64) (*.f64 (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))) (*.f64 (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))) (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 8 binary64) (*.f64 b (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) #s(literal -2 binary64)))))))
Outputs
(/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (*.f64 b (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b)))) b))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (-.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/6 binary64))))))))
Calls

2 calls:

11.0ms
b
11.0ms
a
Results
AccuracySegmentsBranch
64.6%2a
61.0%4b
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes20.0ms (0.2%)

Memory
-10.1MiB live, 28.0MiB allocated
Counts
28 → 3
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 a #s(literal 1/4 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
(+.f64 #s(literal 1/2 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 (+.f64 a #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a)))
(*.f64 (*.f64 a (*.f64 a #s(literal -1/48 binary64))) a)
(/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (*.f64 #s(literal 1/2 binary64) b))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 b b)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 b (*.f64 b #s(literal 1/48 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b 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 #s(literal 1/2 binary64) b)))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64))) (*.f64 a (*.f64 #s(literal -1/48 binary64) (*.f64 a a))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (-.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/6 binary64))))))))
(*.f64 (*.f64 a a) (-.f64 (*.f64 a #s(literal -1/48 binary64)) (*.f64 (/.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) a) #s(literal 1 binary64))))
(*.f64 (*.f64 a (*.f64 a a)) (+.f64 #s(literal -1/48 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 a a))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.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 b (*.f64 b (+.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) #s(literal -1/480 binary64))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))))
(*.f64 (*.f64 a (*.f64 a a)) (+.f64 #s(literal -1/48 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)))))
Outputs
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
(*.f64 #s(literal -1/48 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

2 calls:

9.0ms
a
8.0ms
b
Results
AccuracySegmentsBranch
57.5%3b
51.7%1a
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory
10.8MiB live, 10.8MiB allocated
Counts
21 → 3
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 a #s(literal 1/4 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
(+.f64 #s(literal 1/2 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 (+.f64 a #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a)))
(*.f64 (*.f64 a (*.f64 a #s(literal -1/48 binary64))) a)
(/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (*.f64 #s(literal 1/2 binary64) b))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 b b)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 b (*.f64 b #s(literal 1/48 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b 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 #s(literal 1/2 binary64) b)))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64))) (*.f64 a (*.f64 #s(literal -1/48 binary64) (*.f64 a a))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal 1/6 binary64))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))))
Outputs
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
(*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a)))
(/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))
Calls

1 calls:

6.0ms
b
Results
AccuracySegmentsBranch
57.5%3b
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes13.0ms (0.1%)

Memory
-29.4MiB live, 13.7MiB allocated
Counts
13 → 3
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 a #s(literal 1/4 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
(+.f64 #s(literal 1/2 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 (+.f64 a #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a)))
(*.f64 (*.f64 a (*.f64 a #s(literal -1/48 binary64))) a)
(/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (*.f64 #s(literal 1/2 binary64) 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 6 binary64) (*.f64 b (*.f64 b b)))
Calls

1 calls:

12.0ms
b
Results
AccuracySegmentsBranch
57.4%3b
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Memory
4.5MiB live, 4.5MiB allocated
Counts
10 → 3
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 a #s(literal 1/4 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
(+.f64 #s(literal 1/2 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 (+.f64 a #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a)))
(*.f64 (*.f64 a (*.f64 a #s(literal -1/48 binary64))) a)
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
55.1%3b
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory
7.0MiB live, 7.0MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 a #s(literal 1/4 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
(+.f64 #s(literal 1/2 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 (+.f64 a #s(literal 1 binary64)) #s(literal 2 binary64))
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
40.0%2a
50.8%2b
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory
5.9MiB live, 5.9MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 a #s(literal 1/4 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
(+.f64 #s(literal 1/2 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:

3.0ms
b
3.0ms
a
Results
AccuracySegmentsBranch
35.0%1a
35.0%1b
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Memory
7.8MiB live, 7.8MiB allocated
Accuracy

Total -20.3b remaining (-48.6%)

Threshold costs -20.3b (-48.6%)

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

2 calls:

2.0ms
a
2.0ms
b
Results
AccuracySegmentsBranch
34.7%1a
34.7%1b
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
0.882683969426331
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch37.0ms (0.4%)

Memory
-9.1MiB live, 30.4MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
narrow-enough
Steps
TimeLeftRight
6.0ms
2.899731418984667e+98
1.3233987514913745e+104
29.0ms
5.316694979880816e+31
9.561011776653031e+33
Samples
28.0ms192×0valid
Compiler

Compiled 616 to 292 computations (52.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-exp: 3.0ms (61.1% of total)
ival-div: 1.0ms (20.4% of total)
ival-add: 1.0ms (20.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch14.0ms (0.1%)

Memory
-17.5MiB live, 20.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
-5151.972182092926
-0.12478804796108764
Samples
6.0ms128×0valid
Compiler

Compiled 365 to 267 computations (26.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-exp: 2.0ms (55.9% of total)
ival-div: 1.0ms (27.9% of total)
ival-add: 1.0ms (27.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch28.0ms (0.3%)

Memory
5.0MiB live, 42.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
4.3901296022014955e+86
4.3342423317813566e+89
14.0ms
5.5689133998488216e-33
2.6058679839640016e-11
Samples
14.0ms304×0valid
Compiler

Compiled 501 to 377 computations (24.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-exp: 4.0ms (49.9% of total)
ival-div: 2.0ms (25% of total)
ival-add: 1.0ms (12.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch30.0ms (0.3%)

Memory
1.2MiB live, 41.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
4.3901296022014955e+86
4.3342423317813566e+89
14.0ms
5.5689133998488216e-33
2.6058679839640016e-11
Samples
17.0ms304×0valid
Compiler

Compiled 437 to 321 computations (26.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-exp: 4.0ms (50% of total)
ival-div: 2.0ms (25% of total)
ival-add: 1.0ms (12.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch26.0ms (0.3%)

Memory
-0.2MiB live, 36.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
4.3901296022014955e+86
4.3342423317813566e+89
12.0ms
0.0008278015400445098
594268.1479905877
Samples
15.0ms272×0valid
Compiler

Compiled 335 to 249 computations (25.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-exp: 4.0ms (55% of total)
ival-div: 2.0ms (27.5% of total)
ival-add: 1.0ms (13.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch28.0ms (0.3%)

Memory
11.8MiB live, 49.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
1.53691550443564e+148
2.908240419484914e+158
12.0ms
0.0008278015400445098
594268.1479905877
Samples
16.0ms304×0valid
Compiler

Compiled 355 to 267 computations (24.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-exp: 5.0ms (61.1% of total)
ival-div: 2.0ms (24.4% of total)
ival-add: 1.0ms (12.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch13.0ms (0.1%)

Memory
-9.5MiB live, 28.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
2.6058679839640016e-11
3.38459126794728e-7
Samples
8.0ms128×0valid
Compiler

Compiled 141 to 115 computations (18.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-exp: 2.0ms (56.1% of total)
ival-div: 1.0ms (28% of total)
ival-add: 1.0ms (28% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify22.0ms (0.2%)

Memory
-7.5MiB live, 37.9MiB allocated
Algorithm
egg-herbie
Rules
68×unsub-neg_binary64
66×*-commutative_binary64
62×neg-mul-1_binary64
56×+-commutative_binary64
40×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088269
1130269
2153269
3169269
4188269
5204269
6251269
7320269
8340269
9350269
10351269
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 (exp.f64 a) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(if (<=.f64 b #s(literal 9500000000000000347655822832041984 binary64)) (/.f64 (exp.f64 a) #s(literal 2 binary64)) (if (<=.f64 b #s(literal 10000000000000000019156750857346687362159551272651920111528035145993793242039887559612361451081803235328 binary64)) (/.f64 (-.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))) (/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))))
(if (<=.f64 a #s(literal -360 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (*.f64 b (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b)))) b)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (-.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/6 binary64)))))))))
(if (<=.f64 b #s(literal 2011652563838743/77371252455336267181195264 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a))))) (if (<=.f64 b #s(literal 430000000000000016119285747019958236624210832664285919780181814853642891179428227531669504 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 2011652563838743/77371252455336267181195264 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a))))) (if (<=.f64 b #s(literal 430000000000000016119285747019958236624210832664285919780181814853642891179428227531669504 binary64)) (*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))))
(if (<=.f64 b #s(literal 330 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a)) (if (<=.f64 b #s(literal 430000000000000016119285747019958236624210832664285919780181814853642891179428227531669504 binary64)) (*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))))
(if (<=.f64 b #s(literal 360 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a)) (if (<=.f64 b #s(literal 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 1558380939346983/4722366482869645213696 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 0 binary64)) (/.f64 (exp.f64 a) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 (exp.f64 a) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
(if (<=.f64 b #s(literal 9500000000000000347655822832041984 binary64)) (/.f64 (exp.f64 a) #s(literal 2 binary64)) (if (<=.f64 b #s(literal 10000000000000000019156750857346687362159551272651920111528035145993793242039887559612361451081803235328 binary64)) (/.f64 (-.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))) (/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))))
(if (<=.f64 b #s(literal 9500000000000000347655822832041984 binary64)) (/.f64 (exp.f64 a) #s(literal 2 binary64)) (if (<=.f64 b #s(literal 10000000000000000019156750857346687362159551272651920111528035145993793242039887559612361451081803235328 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 b (-.f64 #s(literal -1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (*.f64 b (-.f64 #s(literal -1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))) (/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))))
(if (<=.f64 a #s(literal -360 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (*.f64 b (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b)))) b)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (-.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/6 binary64)))))))))
(if (<=.f64 b #s(literal 2011652563838743/77371252455336267181195264 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a))))) (if (<=.f64 b #s(literal 430000000000000016119285747019958236624210832664285919780181814853642891179428227531669504 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 2011652563838743/77371252455336267181195264 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a))))) (if (<=.f64 b #s(literal 430000000000000016119285747019958236624210832664285919780181814853642891179428227531669504 binary64)) (*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))))
(if (<=.f64 b #s(literal 330 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a)) (if (<=.f64 b #s(literal 430000000000000016119285747019958236624210832664285919780181814853642891179428227531669504 binary64)) (*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))))
(if (<=.f64 b #s(literal 330 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64))) (if (<=.f64 b #s(literal 430000000000000016119285747019958236624210832664285919780181814853642891179428227531669504 binary64)) (*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))))
(if (<=.f64 b #s(literal 360 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a)) (if (<=.f64 b #s(literal 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 360 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 1558380939346983/4722366482869645213696 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 1558380939346983/4722366482869645213696 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)

soundness2.5s (26.9%)

Memory
0.8MiB live, 858.4MiB allocated
Rules
18 438×accelerator-lowering-fma.f32
18 438×accelerator-lowering-fma.f64
14 950×accelerator-lowering-fma.f32
14 950×accelerator-lowering-fma.f64
8 308×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01731751
14941742
215291717
350731688
082051591
034170
1199168
21621168
08108145
072372
1177372
2370372
3832372
41227372
51438372
61566372
71731372
82088372
92921372
104202372
115273372
125431372
135484372
145498372
155503372
165503372
175560372
185560372
195560372
205658372
215690372
225690372
235690372
245700372
05700340
0120740
1332725
2963708
33702677
08342640
0125999
1351974
2891974
33037946
47379946
08099856
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
saturated
iter limit
node limit
iter limit
node limit
Compiler

Compiled 814 to 493 computations (39.4% saved)

preprocess101.0ms (1.1%)

Memory
-15.2MiB live, 100.8MiB allocated
Compiler

Compiled 582 to 208 computations (64.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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