Statistics.Sample:$skurtosis from math-functions-0.1.5.2

Time bar (total: 5.9s)

analyze11.0ms (0.2%)

Memory
6.0MiB live, 6.0MiB 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
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
87.5%87.4%12.5%0.1%0%0%0%7
87.5%87.4%12.5%0.1%0%0%0%8
93.8%93.7%6.2%0.1%0%0%0%9
93.8%93.7%6.2%0.1%0%0%0%10
96.9%96.8%3.1%0.1%0%0%0%11
96.9%96.8%3.1%0.1%0%0%0%12
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample643.0ms (10.9%)

Memory
42.8MiB live, 1 139.9MiB allocated
Samples
468.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 218.0ms
ival-mult: 111.0ms (50.9% of total)
ival-div: 57.0ms (26.1% of total)
ival-sub: 38.0ms (17.4% of total)
ival-true: 5.0ms (2.3% of total)
exact: 5.0ms (2.3% of total)
ival-assert: 3.0ms (1.4% of total)
Bogosity

preprocess45.0ms (0.8%)

Memory
-12.2MiB live, 63.6MiB allocated
Algorithm
egg-herbie
Rules
696×times-frac
152×associate-/r*
146×associate-*r/
132×associate-*l*
130×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01846
14744
211842
330042
466642
5106942
6153642
7159942
8162342
9164242
10164642
067
1117
2127
0127
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(- (/ x (* y y)) 3)
Outputs
(- (/ x (* y y)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
Call 2
Inputs
(- (/ x (* y y)) 3)
(- (/ (neg x) (* y y)) 3)
(- (/ x (* (neg y) (neg y))) 3)
(neg (- (/ (neg x) (* y y)) 3))
(neg (- (/ x (* (neg y) (neg y))) 3))
(- (/ y (* x x)) 3)
Outputs
(- (/ x (* y y)) 3)
(+ (/ x (* y y)) -3)
(- (/ (neg x) (* y y)) 3)
(- -3 (/ x (* y y)))
(- (/ x (* (neg y) (neg y))) 3)
(+ (/ x (* y y)) -3)
(neg (- (/ (neg x) (* y y)) 3))
(+ (/ x (* y y)) 3)
(neg (- (/ x (* (neg y) (neg y))) 3))
(- 3 (/ x (* y y)))
(- (/ y (* x x)) 3)
(+ (/ y (* x x)) -3)
Symmetry

(abs y)

explain94.0ms (1.6%)

Memory
-10.4MiB live, 183.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
340-3(1.4940029704999564e-297 4.968988250300933e-161)(/.f64 x (*.f64 y y))
00-0-y
00-0-#s(literal 3 binary64)
00-0-(*.f64 y y)
00-0-(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 x (*.f64 y y))n/u110
(*.f64 y y)underflow52
Confusion
Predicted +Predicted -
+113
-0242
Precision
1.0
Recall
0.7857142857142857
Confusion?
Predicted +Predicted MaybePredicted -
+1103
-00242
Precision?
1.0
Recall?
0.7857142857142857
Freqs
test
numberfreq
0245
111
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
24.0ms512×0valid
Compiler

Compiled 58 to 28 computations (51.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 4.0ms (38.4% of total)
ival-div: 3.0ms (28.8% of total)
ival-sub: 2.0ms (19.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.6MiB live, 0.6MiB 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
95.3%
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify3.0ms (0.1%)

Memory
6.0MiB live, 6.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y y)
cost-diff0
(/.f64 x (*.f64 y y))
cost-diff0
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
Rules
/-lowering-/.f32
/-lowering-/.f64
+-lowering-+.f64
+-lowering-+.f32
*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0618
11118
21218
01218
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(- (/ x (* y y)) 3)
(/ x (* y y))
x
(* y y)
y
3
Outputs
(- (/ x (* y y)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(/ x (* y y))
(/.f64 x (*.f64 y y))
x
(* y y)
(*.f64 y y)
y
3
#s(literal 3 binary64)

localize32.0ms (0.5%)

Memory
1.4MiB live, 37.6MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
accuracy100.0%
(*.f64 y y)
accuracy88.1%
(/.f64 x (*.f64 y y))
Samples
25.0ms256×0valid
Compiler

Compiled 20 to 8 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 2.0ms (39.7% of total)
ival-mult: 2.0ms (39.7% of total)
ival-sub: 1.0ms (19.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
7.6MiB live, 7.6MiB allocated
Counts
3 → 60
Calls
Call 1
Inputs
#<alt (- (/ x (* y y)) 3)>
#<alt (/ x (* y y))>
#<alt (* y y)>
Outputs
#<alt -3>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (/ x (pow y 2))>
#<alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))>
#<alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))>
#<alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))>
#<alt (/ x (pow y 2))>
#<alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))>
#<alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))>
#<alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))>
#<alt (/ x (pow y 2))>
#<alt (/ (+ x (* -3 (pow y 2))) (pow y 2))>
#<alt (/ (+ x (* -3 (pow y 2))) (pow y 2))>
#<alt (/ (+ x (* -3 (pow y 2))) (pow y 2))>
#<alt -3>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (- (/ x (pow y 2)) 3)>
#<alt -3>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
Calls

15 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(- (/ x (* y y)) 3)
0.0ms
x
@0
(- (/ x (* y y)) 3)
0.0ms
x
@0
(/ x (* y y))
0.0ms
y
@0
(- (/ x (* y y)) 3)
0.0ms
x
@-inf
(/ x (* y y))

rewrite369.0ms (6.2%)

Memory
51.6MiB live, 646.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 186×/-lowering-/.f32
4 186×/-lowering-/.f64
3 186×accelerator-lowering-fma.f32
3 186×accelerator-lowering-fma.f64
3 038×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0615
13515
228515
3324015
0814414
Stop Event
iter limit
node limit
Counts
3 → 227
Calls
Call 1
Inputs
(- (/ x (* y y)) 3)
(/ x (* y y))
(* y y)
Outputs
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y)))
(+.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (fma.f64 x (/.f64 #s(literal 3 binary64) (*.f64 y y)) #s(literal 9 binary64))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))) (neg.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (fma.f64 x (/.f64 #s(literal 3 binary64) (*.f64 y y)) #s(literal 9 binary64))))))
(+.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (*.f64 y (*.f64 y (*.f64 y y))))) (neg.f64 (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
(-.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 y y)))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (fma.f64 x (/.f64 #s(literal 3 binary64) (*.f64 y y)) #s(literal 9 binary64))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))) (/.f64 #s(literal 27 binary64) (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (fma.f64 x (/.f64 #s(literal 3 binary64) (*.f64 y y)) #s(literal 9 binary64)))))
(-.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (-.f64 #s(literal 9 binary64) (/.f64 (*.f64 x #s(literal -3 binary64)) (*.f64 y y))))) (/.f64 #s(literal 27 binary64) (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (-.f64 #s(literal 9 binary64) (/.f64 (*.f64 x #s(literal -3 binary64)) (*.f64 y y))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (/.f64 x (*.f64 y y)) #s(literal 9 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y (*.f64 y y)))))) (fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) #s(literal 27 binary64) #s(literal 729 binary64)))) (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (fma.f64 x (/.f64 #s(literal 3 binary64) (*.f64 y y)) #s(literal 9 binary64)))) (/.f64 (/.f64 #s(literal 19683 binary64) (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y (*.f64 y y)))))) (fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) #s(literal 27 binary64) #s(literal 729 binary64)))) (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (fma.f64 x (/.f64 #s(literal 3 binary64) (*.f64 y y)) #s(literal 9 binary64)))))
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y (*.f64 y y)))))) (+.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) #s(literal 27 binary64))) (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (fma.f64 x (/.f64 #s(literal 3 binary64) (*.f64 y y)) #s(literal 9 binary64)))) (/.f64 (/.f64 #s(literal 729 binary64) (+.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) #s(literal 27 binary64))) (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (fma.f64 x (/.f64 #s(literal 3 binary64) (*.f64 y y)) #s(literal 9 binary64)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (/.f64 x (*.f64 y y)) #s(literal 9 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y (*.f64 y y)))))) (fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) #s(literal 27 binary64) #s(literal 729 binary64)))) (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (-.f64 #s(literal 9 binary64) (/.f64 (*.f64 x #s(literal -3 binary64)) (*.f64 y y))))) (/.f64 (/.f64 #s(literal 19683 binary64) (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y (*.f64 y y)))))) (fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) #s(literal 27 binary64) #s(literal 729 binary64)))) (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (-.f64 #s(literal 9 binary64) (/.f64 (*.f64 x #s(literal -3 binary64)) (*.f64 y y))))))
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y (*.f64 y y)))))) (+.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) #s(literal 27 binary64))) (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (-.f64 #s(literal 9 binary64) (/.f64 (*.f64 x #s(literal -3 binary64)) (*.f64 y y))))) (/.f64 (/.f64 #s(literal 729 binary64) (+.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) #s(literal 27 binary64))) (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (-.f64 #s(literal 9 binary64) (/.f64 (*.f64 x #s(literal -3 binary64)) (*.f64 y y))))))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (+.f64 #s(literal 9 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x #s(literal -3 binary64))) (*.f64 y y)))) (/.f64 #s(literal 27 binary64) (+.f64 #s(literal 9 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x #s(literal -3 binary64))) (*.f64 y y)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (/.f64 x (*.f64 y y)) #s(literal 9 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y (*.f64 y y)))))) (fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) #s(literal 27 binary64) #s(literal 729 binary64)))) (+.f64 #s(literal 9 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x #s(literal -3 binary64))) (*.f64 y y)))) (/.f64 (/.f64 #s(literal 19683 binary64) (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y (*.f64 y y)))))) (fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) #s(literal 27 binary64) #s(literal 729 binary64)))) (+.f64 #s(literal 9 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x #s(literal -3 binary64))) (*.f64 y y)))))
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y (*.f64 y y)))))) (+.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) #s(literal 27 binary64))) (+.f64 #s(literal 9 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x #s(literal -3 binary64))) (*.f64 y y)))) (/.f64 (/.f64 #s(literal 729 binary64) (+.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) #s(literal 27 binary64))) (+.f64 #s(literal 9 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x #s(literal -3 binary64))) (*.f64 y y)))))
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(/.f64 (neg.f64 (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y (*.f64 y y)))))) #s(literal -729 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (fma.f64 x (/.f64 #s(literal 3 binary64) (*.f64 y y)) #s(literal 9 binary64)))))) (neg.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) #s(literal 27 binary64))))
(/.f64 (neg.f64 (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y (*.f64 y y)))))) #s(literal -729 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 (*.f64 x x) (*.f64 y (*.f64 y (*.f64 y y)))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 9 binary64) #s(literal 81 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 (*.f64 x x) (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -81 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 9 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (-.f64 #s(literal 9 binary64) (/.f64 (*.f64 x #s(literal -3 binary64)) (*.f64 y y)))) (+.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) #s(literal -27 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) #s(literal -27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (fma.f64 x (/.f64 #s(literal 3 binary64) (*.f64 y y)) #s(literal 9 binary64)))))
(*.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) #s(literal -27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (-.f64 #s(literal 9 binary64) (/.f64 (*.f64 x #s(literal -3 binary64)) (*.f64 y y))))))
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)))
(*.f64 (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)))))
(*.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) #s(literal 27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (fma.f64 x (/.f64 #s(literal 3 binary64) (*.f64 y y)) #s(literal 9 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (fma.f64 x (/.f64 #s(literal 3 binary64) (*.f64 y y)) #s(literal 9 binary64)))) (+.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) #s(literal -27 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))) (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -9 binary64)))
(*.f64 (/.f64 (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -9 binary64)) (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -9 binary64))) (+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)))
(*.f64 (/.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) #s(literal -27 binary64)) (fma.f64 (fma.f64 x (/.f64 #s(literal 3 binary64) (*.f64 y y)) #s(literal 9 binary64)) (*.f64 (fma.f64 x (/.f64 #s(literal 3 binary64) (*.f64 y y)) #s(literal 9 binary64)) (fma.f64 x (/.f64 #s(literal 3 binary64) (*.f64 y y)) #s(literal 9 binary64))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y (*.f64 y y)))))))) (fma.f64 (/.f64 x (*.f64 y y)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 (fma.f64 x (/.f64 #s(literal 3 binary64) (*.f64 y y)) #s(literal 9 binary64)) (-.f64 (fma.f64 x (/.f64 #s(literal 3 binary64) (*.f64 y y)) #s(literal 9 binary64)) (/.f64 (*.f64 x x) (*.f64 y (*.f64 y (*.f64 y y))))))))
(*.f64 (/.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) #s(literal -27 binary64)) (*.f64 (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (fma.f64 x (/.f64 #s(literal 3 binary64) (*.f64 y y)) #s(literal 9 binary64))) (-.f64 (/.f64 (-.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x #s(literal 3 binary64))) (*.f64 y y)) #s(literal 9 binary64)))) (-.f64 (/.f64 (-.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x #s(literal 3 binary64))) (*.f64 y y)) #s(literal 9 binary64)))
(*.f64 (/.f64 (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -9 binary64)) (+.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) #s(literal 27 binary64))) (-.f64 (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 9 binary64)) (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 y y))))
(exp.f64 (log.f64 (/.f64 x (*.f64 y y))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 y y))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 y y)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 y y)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 y y)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) y) (/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 y y)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (neg.f64 (-.f64 #s(literal 0 binary64) y))) (/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 y y)))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 y y)))
(neg.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 y y)) #s(literal 1 binary64)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 y y))))
(/.f64 x (*.f64 y y))
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 y y)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 x y) y)
(/.f64 (/.f64 x y) (neg.f64 (-.f64 #s(literal 0 binary64) y)))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 y y) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) y) (-.f64 #s(literal 0 binary64) y))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) y) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) y))))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (/.f64 y x)))
(/.f64 (/.f64 x #s(literal 1 binary64)) (*.f64 y y))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) x) y)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) y) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (exp.f64 (log.f64 (/.f64 x y))) y)
(/.f64 (exp.f64 (log.f64 x)) (*.f64 y y))
(/.f64 (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))) (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)))))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (log.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal 0 binary64) x)))))
(/.f64 (exp.f64 (log.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) y))) (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) y))))
(/.f64 (neg.f64 (/.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 y y)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) x) y))) (neg.f64 (-.f64 #s(literal 0 binary64) y)))
(/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) y) #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) y)))
(pow.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64))
(pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (*.f64 y y) x) (/.f64 (*.f64 y y) x)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 x (*.f64 y y)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (*.f64 y y) x)))
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 y y)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y y)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (exp.f64 (log.f64 x)))
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 x y) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 y y)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) y) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (-.f64 #s(literal 0 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 #s(literal 0 binary64) x) y))
(*.f64 (pow.f64 (/.f64 x (*.f64 y y)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x (*.f64 y y)) #s(literal 1/2 binary64)))
(*.f64 (exp.f64 (log.f64 (/.f64 x y))) (/.f64 #s(literal 1 binary64) y))
(*.f64 (exp.f64 (log.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))) (exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y))))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 y) #s(literal 0 binary64)))
(exp.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 y) #s(literal 0 binary64)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y)))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)))
(/.f64 y (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 y y) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y y)))
(/.f64 (-.f64 #s(literal 0 binary64) y) (neg.f64 (/.f64 #s(literal 1 binary64) y)))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 y))
(*.f64 y y)
(*.f64 y (neg.f64 (-.f64 #s(literal 0 binary64) y)))
(*.f64 y (/.f64 y #s(literal 1 binary64)))
(*.f64 (*.f64 y y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 y y))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y)))
(*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) y))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) y)) y)

simplify295.0ms (5%)

Memory
-62.5MiB live, 258.5MiB allocated
Algorithm
egg-herbie
Rules
2 860×accelerator-lowering-fma.f32
2 860×accelerator-lowering-fma.f64
2 598×*-lowering-*.f32
2 598×*-lowering-*.f64
1 392×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021300
143300
2103300
3250300
4472300
5785300
61177300
71855300
82697300
93327300
103815300
114073300
124256300
134723300
145512300
156174300
167377300
08081300
Stop Event
iter limit
node limit
Counts
60 → 60
Calls
Call 1
Inputs
-3
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(/ x (pow y 2))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(/ x (pow y 2))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(/ x (pow y 2))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
-3
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
-3
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
Outputs
-3
#s(literal -3 binary64)
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -3 binary64))
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -3 binary64))
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -3 binary64))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(+.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -3 binary64))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(+.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -3 binary64))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(+.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -3 binary64))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(+.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -3 binary64))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(+.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -3 binary64))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(+.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -3 binary64))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(+.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -3 binary64))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(+.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -3 binary64))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(+.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -3 binary64))
-3
#s(literal -3 binary64)
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -3 binary64))
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -3 binary64))
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -3 binary64))
-3
#s(literal -3 binary64)
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -3 binary64))
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -3 binary64))
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -3 binary64))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))

eval35.0ms (0.6%)

Memory
6.1MiB live, 81.5MiB allocated
Compiler

Compiled 10 319 to 662 computations (93.6% saved)

prune35.0ms (0.6%)

Memory
5.7MiB live, 89.0MiB allocated
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New2807287
Fresh000
Picked011
Done000
Total2808288
Accuracy
100.0%
Counts
288 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64))
94.8%
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x #s(literal -3 binary64))
57.2%
(/.f64 (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -9 binary64)) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)))
43.2%
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
99.9%
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
99.9%
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #s(literal 3 binary64))
95.3%
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
54.0%
#s(literal -3 binary64)
Compiler

Compiled 155 to 102 computations (34.2% saved)

simplify5.0ms (0.1%)

Memory
11.2MiB live, 11.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1 binary64) y)
cost-diff0
(/.f64 x y)
cost-diff512
(fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64))
cost-diff-64
(*.f64 y y)
cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 y y))
cost-diff192
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x #s(literal -3 binary64))
cost-diff0
(fma.f64 y y #s(literal 0 binary64))
cost-diff0
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
cost-diff0
(/.f64 x y)
cost-diff0
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
cost-diff320
(/.f64 (/.f64 x y) y)
Rules
36×*-lowering-*.f32
36×*-lowering-*.f64
20×associate-*r*
14×accelerator-lowering-fma.f32
14×accelerator-lowering-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01866
13466
24466
36366
46966
06966
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(- (/ (/ x y) y) 3)
(/ (/ x y) y)
(/ x y)
x
y
3
-3
(/ x (+ (* y y) 0))
x
(+ (* y y) 0)
y
0
(+ (* (/ 1 (* y y)) x) -3)
(/ 1 (* y y))
1
(* y y)
y
x
-3
(+ (* (/ x y) (/ 1 y)) -3)
(/ x y)
x
y
(/ 1 y)
1
-3
Outputs
(- (/ (/ x y) y) 3)
(+.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -3 binary64))
(/ (/ x y) y)
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x y)
(/.f64 x y)
x
y
3
#s(literal 3 binary64)
-3
#s(literal -3 binary64)
(/ x (+ (* y y) 0))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
x
(+ (* y y) 0)
(fma.f64 y y #s(literal 0 binary64))
y
0
#s(literal 0 binary64)
(+ (* (/ 1 (* y y)) x) -3)
(+.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -3 binary64))
(/ 1 (* y y))
(/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64)))
1
#s(literal 1 binary64)
(* y y)
(fma.f64 y y #s(literal 0 binary64))
y
x
-3
#s(literal -3 binary64)
(+ (* (/ x y) (/ 1 y)) -3)
(+.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -3 binary64))
(/ x y)
(/.f64 x y)
x
y
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
-3
#s(literal -3 binary64)

localize56.0ms (0.9%)

Memory
-3.5MiB live, 152.6MiB allocated
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 x y)
accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
accuracy99.9%
(fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64))
accuracy100.0%
(*.f64 y y)
accuracy99.6%
(/.f64 #s(literal 1 binary64) (*.f64 y y))
accuracy94.8%
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x #s(literal -3 binary64))
accuracy100.0%
(fma.f64 y y #s(literal 0 binary64))
accuracy88.1%
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
accuracy100.0%
(/.f64 x y)
accuracy100.0%
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
accuracy99.8%
(/.f64 (/.f64 x y) y)
Samples
33.0ms256×0valid
Compiler

Compiled 72 to 20 computations (72.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-div: 10.0ms (51.6% of total)
ival-mult: 4.0ms (20.6% of total)
ival-add: 3.0ms (15.5% of total)
ival-sub: 1.0ms (5.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
17.8MiB live, 17.8MiB allocated
Counts
10 → 192
Calls
Call 1
Inputs
#<alt (/ (/ x y) y)>
#<alt (- (/ (/ x y) y) 3)>
#<alt (/ x y)>
#<alt (/ x (+ (* y y) 0))>
#<alt (+ (* y y) 0)>
#<alt (+ (* (/ 1 (* y y)) x) -3)>
#<alt (/ 1 (* y y))>
#<alt (* y y)>
#<alt (+ (* (/ x y) (/ 1 y)) -3)>
#<alt (/ 1 y)>
Outputs
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt -3>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (/ x (pow y 2))>
#<alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))>
#<alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))>
#<alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))>
#<alt (/ x (pow y 2))>
#<alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))>
#<alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))>
#<alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))>
#<alt (/ x (pow y 2))>
#<alt (/ (+ x (* -3 (pow y 2))) (pow y 2))>
#<alt (/ (+ x (* -3 (pow y 2))) (pow y 2))>
#<alt (/ (+ x (* -3 (pow y 2))) (pow y 2))>
#<alt -3>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (- (/ x (pow y 2)) 3)>
#<alt -3>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (/ x (pow y 2))>
#<alt (/ (+ x (* -3 (pow y 2))) (pow y 2))>
#<alt (/ (+ x (* -3 (pow y 2))) (pow y 2))>
#<alt (/ (+ x (* -3 (pow y 2))) (pow y 2))>
#<alt -3>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (- (/ x (pow y 2)) 3)>
#<alt -3>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (- (/ x (pow y 2)) 3)>
#<alt -3>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (/ x (pow y 2))>
#<alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))>
#<alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))>
#<alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))>
#<alt (/ x (pow y 2))>
#<alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))>
#<alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))>
#<alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt -3>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (/ x (pow y 2))>
#<alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))>
#<alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))>
#<alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))>
#<alt (/ x (pow y 2))>
#<alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))>
#<alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))>
#<alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))>
#<alt (/ x (pow y 2))>
#<alt (/ (+ x (* -3 (pow y 2))) (pow y 2))>
#<alt (/ (+ x (* -3 (pow y 2))) (pow y 2))>
#<alt (/ (+ x (* -3 (pow y 2))) (pow y 2))>
#<alt -3>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (- (/ x (pow y 2)) 3)>
#<alt -3>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
Calls

48 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(/ x y)
1.0ms
x
@inf
(/ x y)
0.0ms
x
@0
(/ x y)
0.0ms
y
@-inf
(/ x y)
0.0ms
y
@inf
(/ x y)

rewrite434.0ms (7.3%)

Memory
-13.2MiB live, 740.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 216×accelerator-lowering-fma.f32
6 216×accelerator-lowering-fma.f64
4 496×*-lowering-*.f32
4 496×*-lowering-*.f64
2 830×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01848
112146
294046
0895543
Stop Event
iter limit
node limit
Counts
10 → 1 180
Calls
Call 1
Inputs
(/ (/ x y) y)
(- (/ (/ x y) y) 3)
(/ x y)
(/ x (+ (* y y) 0))
(+ (* y y) 0)
(+ (* (/ 1 (* y y)) x) -3)
(/ 1 (* y y))
(* y y)
(+ (* (/ x y) (/ 1 y)) -3)
(/ 1 y)
Outputs
(+.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) (*.f64 (/.f64 x (fma.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)))
(+.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) (*.f64 (/.f64 x (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)))
(+.f64 (*.f64 (/.f64 x (fma.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 x (fma.f64 y y #s(literal 0 binary64))))
(+.f64 (*.f64 (/.f64 x (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 x (fma.f64 y y #s(literal 0 binary64))))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 x (fma.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (*.f64 (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 x (fma.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))))
(+.f64 (*.f64 (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 x (fma.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (*.f64 #s(literal 0 binary64) (/.f64 x (fma.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))))
(+.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (/.f64 x (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (*.f64 #s(literal 0 binary64) (/.f64 x (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 x (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (/.f64 x (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x (fma.f64 y y #s(literal 0 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) (/.f64 x (fma.f64 y y #s(literal 0 binary64)))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (*.f64 (/.f64 x (fma.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)))
(fma.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (*.f64 (/.f64 x (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)))
(fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 x (fma.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)))
(fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 x (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)))
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(*.f64 (fma.f64 (*.f64 x x) (/.f64 x (fma.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal -27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (*.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) (+.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal 3 binary64))))))
(*.f64 (fma.f64 x (/.f64 x (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal 3 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) (/.f64 x (fma.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal -27 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) (+.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal 3 binary64)) #s(literal 9 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (/.f64 x (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -3 binary64) (/.f64 x (fma.f64 y y #s(literal 0 binary64))))))
(*.f64 (-.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -3 binary64) (/.f64 x (fma.f64 y y #s(literal 0 binary64))))))
(exp.f64 (*.f64 (log.f64 y) #s(literal -1 binary64)))
(exp.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 y) #s(literal 0 binary64)) #s(literal -1/2 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) y))
(neg.f64 (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal 1 binary64) y)
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) y))
(pow.f64 y #s(literal -1 binary64))
(pow.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 y)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal -1/4 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))

simplify259.0ms (4.4%)

Memory
3.6MiB live, 206.6MiB allocated
Algorithm
egg-herbie
Rules
2 718×accelerator-lowering-fma.f32
2 718×accelerator-lowering-fma.f64
2 488×*-lowering-*.f32
2 488×*-lowering-*.f64
1 372×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023912
145912
2103912
3250912
4477912
5786912
61178912
71873912
82720912
93382912
103870912
114128912
124308912
134785912
145574912
156236912
167440912
08052912
Stop Event
iter limit
node limit
Counts
192 → 192
Calls
Call 1
Inputs
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
-3
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(/ x (pow y 2))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(/ x (pow y 2))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(/ x (pow y 2))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
-3
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
-3
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(/ x (pow y 2))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
-3
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
-3
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
-3
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(/ x (pow y 2))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(/ x (pow y 2))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
-3
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(/ x (pow y 2))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(/ x (pow y 2))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(/ x (pow y 2))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
-3
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
-3
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
Outputs
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
-3
#s(literal -3 binary64)
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -3 binary64))
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -3 binary64))
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -3 binary64))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(+.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -3 binary64))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(+.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -3 binary64))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(+.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -3 binary64))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(+.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -3 binary64))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(+.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -3 binary64))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(+.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -3 binary64))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(+.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -3 binary64))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(+.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -3 binary64))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(+.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -3 binary64))
-3
#s(literal -3 binary64)
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -3 binary64))
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -3 binary64))
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -3 binary64))
-3
#s(literal -3 binary64)
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -3 binary64))
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -3 binary64))
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -3 binary64))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(+.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -3 binary64))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(+.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -3 binary64))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(+.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -3 binary64))
-3
#s(literal -3 binary64)
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -3 binary64))
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -3 binary64))
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -3 binary64))
-3
#s(literal -3 binary64)
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -3 binary64))
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -3 binary64))
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -3 binary64))
-3
#s(literal -3 binary64)
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -3 binary64))
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -3 binary64))
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -3 binary64))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(+.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -3 binary64))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(+.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -3 binary64))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(+.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -3 binary64))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(+.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -3 binary64))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(+.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -3 binary64))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(+.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -3 binary64))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64)))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64)))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64)))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64)))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64)))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64)))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64)))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64)))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64)))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64)))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64)))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64)))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
-3
#s(literal -3 binary64)
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -3 binary64))
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -3 binary64))
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -3 binary64))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(+.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -3 binary64))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(+.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -3 binary64))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(+.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -3 binary64))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(+.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -3 binary64))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(+.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -3 binary64))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(+.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -3 binary64))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(+.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -3 binary64))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(+.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -3 binary64))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(+.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -3 binary64))
-3
#s(literal -3 binary64)
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -3 binary64))
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -3 binary64))
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -3 binary64))
-3
#s(literal -3 binary64)
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -3 binary64))
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -3 binary64))
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -3 binary64))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)

eval175.0ms (3%)

Memory
14.0MiB live, 350.0MiB allocated
Compiler

Compiled 36 176 to 1 872 computations (94.8% saved)

prune174.0ms (2.9%)

Memory
-9.0MiB live, 320.0MiB allocated
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New1 41171 418
Fresh202
Picked325
Done011
Total1 416101 426
Accuracy
100.0%
Counts
1 426 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.8%
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x #s(literal -3 binary64))
47.8%
(/.f64 (/.f64 x y) y)
47.7%
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
17.3%
(/.f64 (*.f64 x (fma.f64 y y #s(literal 0 binary64))) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
43.2%
(/.f64 x (*.f64 y y))
99.9%
(-.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y) #s(literal 3 binary64))
95.3%
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
47.7%
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
47.6%
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)))
54.0%
#s(literal -3 binary64)
Compiler

Compiled 172 to 102 computations (40.7% saved)

simplify6.0ms (0.1%)

Memory
10.8MiB live, 10.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 y x)
cost-diff0
(/.f64 #s(literal 1 binary64) y)
cost-diff1088
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
cost-diff0
(/.f64 #s(literal 1 binary64) y)
cost-diff0
(/.f64 x y)
cost-diff704
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
cost-diff0
(/.f64 x y)
cost-diff384
(/.f64 (/.f64 x y) y)
cost-diff0
(*.f64 y y)
cost-diff0
(/.f64 x (*.f64 y y))
cost-diff0
(/.f64 #s(literal 1 binary64) y)
cost-diff0
(-.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y) #s(literal 3 binary64))
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
cost-diff384
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y)
Rules
40×*-lowering-*.f32
40×*-lowering-*.f64
30×/-lowering-/.f32
30×/-lowering-/.f64
16×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01588
13170
24270
36870
47470
07470
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(- (/ (* (/ 1 y) x) y) 3)
(/ (* (/ 1 y) x) y)
(* (/ 1 y) x)
(/ 1 y)
1
y
x
3
(/ x (* y y))
x
(* y y)
y
(/ (/ x y) y)
(/ x y)
x
y
(* (/ x y) (/ 1 y))
(/ x y)
x
y
(/ 1 y)
1
(/ (/ 1 y) (/ y x))
(/ 1 y)
1
y
(/ y x)
x
Outputs
(- (/ (* (/ 1 y) x) y) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(/ (* (/ 1 y) x) y)
(/.f64 x (*.f64 y y))
(* (/ 1 y) x)
(/.f64 x y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
y
x
3
#s(literal 3 binary64)
(/ x (* y y))
(/.f64 x (*.f64 y y))
x
(* y y)
(*.f64 y y)
y
(/ (/ x y) y)
(/.f64 x (*.f64 y y))
(/ x y)
(/.f64 x y)
x
y
(* (/ x y) (/ 1 y))
(/.f64 x (*.f64 y y))
(/ x y)
(/.f64 x y)
x
y
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
(/ (/ 1 y) (/ y x))
(/.f64 x (*.f64 y y))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
y
(/ y x)
(/.f64 y x)
x

localize54.0ms (0.9%)

Memory
-7.4MiB live, 110.9MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 y x)
accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
accuracy99.7%
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
accuracy100.0%
(/.f64 x y)
accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
accuracy99.7%
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
accuracy100.0%
(/.f64 x y)
accuracy99.8%
(/.f64 (/.f64 x y) y)
accuracy100.0%
(*.f64 y y)
accuracy88.1%
(/.f64 x (*.f64 y y))
accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
accuracy100.0%
(-.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y) #s(literal 3 binary64))
accuracy99.8%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y)
accuracy99.7%
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
Samples
33.0ms256×0valid
Compiler

Compiled 82 to 17 computations (79.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-div: 13.0ms (70.1% of total)
ival-mult: 4.0ms (21.6% of total)
ival-sub: 1.0ms (5.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
9.1MiB live, 9.1MiB allocated
Counts
11 → 240
Calls
Call 1
Inputs
#<alt (/ (* (/ 1 y) x) y)>
#<alt (* (/ 1 y) x)>
#<alt (- (/ (* (/ 1 y) x) y) 3)>
#<alt (/ 1 y)>
#<alt (/ x (* y y))>
#<alt (* y y)>
#<alt (/ (/ x y) y)>
#<alt (/ x y)>
#<alt (* (/ x y) (/ 1 y))>
#<alt (/ (/ 1 y) (/ y x))>
#<alt (/ y x)>
Outputs
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x (pow y 2))>
#<alt (/ (+ x (* -3 (pow y 2))) (pow y 2))>
#<alt (/ (+ x (* -3 (pow y 2))) (pow y 2))>
#<alt (/ (+ x (* -3 (pow y 2))) (pow y 2))>
#<alt -3>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (- (/ x (pow y 2)) 3)>
#<alt -3>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (- (/ x (pow y 2)) 3)>
#<alt -3>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (/ x (pow y 2))>
#<alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))>
#<alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))>
#<alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))>
#<alt (/ x (pow y 2))>
#<alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))>
#<alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))>
#<alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
Calls

60 calls:

TimeVariablePointExpression
0.0ms
y
@-inf
(/ y x)
0.0ms
y
@0
(/ y x)
0.0ms
x
@0
(/ y x)
0.0ms
y
@inf
(/ y x)
0.0ms
x
@-inf
(/ y x)

rewrite326.0ms (5.5%)

Memory
-26.2MiB live, 524.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 662×accelerator-lowering-fma.f32
4 662×accelerator-lowering-fma.f64
3 850×*-lowering-*.f32
3 850×*-lowering-*.f64
2 484×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01547
18347
286447
3664347
0813546
Stop Event
iter limit
node limit
Counts
11 → 498
Calls
Call 1
Inputs
(/ (* (/ 1 y) x) y)
(* (/ 1 y) x)
(- (/ (* (/ 1 y) x) y) 3)
(/ 1 y)
(/ x (* y y))
(* y y)
(/ (/ x y) y)
(/ x y)
(* (/ x y) (/ 1 y))
(/ (/ 1 y) (/ y x))
(/ y x)
Outputs
(exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 y x))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 y y)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 y y)))
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simplify257.0ms (4.3%)

Memory
-9.3MiB live, 262.7MiB allocated
Algorithm
egg-herbie
Rules
2 784×accelerator-lowering-fma.f32
2 784×accelerator-lowering-fma.f64
2 658×*-lowering-*.f32
2 658×*-lowering-*.f64
1 418×div-sub
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
0241104
1461104
21041104
32511104
44781104
57981104
612381104
720011032
827831032
931281032
1035901032
1138501032
1240301032
1345051032
1453061032
1560181032
1673031032
080591032
Stop Event
iter limit
node limit
Counts
240 → 240
Calls
Call 1
Inputs
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x (pow y 2))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
-3
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
-3
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
-3
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(/ x (pow y 2))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(/ x (pow y 2))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
Outputs
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(+.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -3 binary64))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(+.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -3 binary64))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(+.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -3 binary64))
-3
#s(literal -3 binary64)
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -3 binary64))
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -3 binary64))
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -3 binary64))
-3
#s(literal -3 binary64)
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -3 binary64))
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -3 binary64))
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -3 binary64))
-3
#s(literal -3 binary64)
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -3 binary64))
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -3 binary64))
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -3 binary64))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(+.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -3 binary64))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(+.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -3 binary64))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(+.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -3 binary64))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(+.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -3 binary64))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(+.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -3 binary64))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(+.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -3 binary64))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ x (pow y 2))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)

eval100.0ms (1.7%)

Memory
18.5MiB live, 218.4MiB allocated
Compiler

Compiled 11 196 to 805 computations (92.8% saved)

prune62.0ms (1%)

Memory
-12.6MiB live, 146.2MiB allocated
Pruning

9 alts after pruning (3 fresh and 6 done)

PrunedKeptTotal
New8583861
Fresh202
Picked145
Done123
Total8629871
Accuracy
100.0%
Counts
871 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.8%
(/.f64 (/.f64 x y) y)
47.7%
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
47.7%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y)
43.2%
(/.f64 x (*.f64 y y))
47.7%
(/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 y x)))
95.3%
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
47.7%
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
42.7%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)
54.0%
#s(literal -3 binary64)
Compiler

Compiled 71 to 47 computations (33.8% saved)

simplify5.0ms (0.1%)

Memory
10.7MiB live, 10.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1 binary64) y)
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
cost-diff384
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y)
cost-diff0
(/.f64 y x)
cost-diff0
(*.f64 y (/.f64 y x))
cost-diff704
(/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 y x)))
cost-diff0
(*.f64 y y)
cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 y y))
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)
Rules
40×*-lowering-*.f32
40×*-lowering-*.f64
30×/-lowering-/.f32
30×/-lowering-/.f64
22×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01254
12546
23646
36546
47146
07146
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* (/ 1 (* y y)) x)
(/ 1 (* y y))
1
(* y y)
y
x
(/ 1 (* y (/ y x)))
1
(* y (/ y x))
y
(/ y x)
x
(/ (* (/ 1 y) x) y)
(* (/ 1 y) x)
(/ 1 y)
1
y
x
Outputs
(* (/ 1 (* y y)) x)
(/.f64 x (*.f64 y y))
(/ 1 (* y y))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
1
#s(literal 1 binary64)
(* y y)
(*.f64 y y)
y
x
(/ 1 (* y (/ y x)))
(/.f64 x (*.f64 y y))
1
#s(literal 1 binary64)
(* y (/ y x))
(*.f64 y (/.f64 y x))
y
(/ y x)
(/.f64 y x)
x
(/ (* (/ 1 y) x) y)
(/.f64 x (*.f64 y y))
(* (/ 1 y) x)
(/.f64 x y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
y
x

localize112.0ms (1.9%)

Memory
7.4MiB live, 84.4MiB allocated
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
accuracy99.8%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y)
accuracy99.7%
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
accuracy100.0%
(/.f64 y x)
accuracy99.8%
(*.f64 y (/.f64 y x))
accuracy99.1%
(/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 y x)))
accuracy100.0%
(*.f64 y y)
accuracy99.6%
(/.f64 #s(literal 1 binary64) (*.f64 y y))
accuracy87.6%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)
Samples
98.0ms256×0valid
Compiler

Compiled 56 to 14 computations (75% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-div: 8.0ms (55.2% of total)
ival-mult: 6.0ms (41.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory
7.5MiB live, 7.5MiB allocated
Counts
9 → 180
Calls
Call 1
Inputs
#<alt (* (/ 1 (* y y)) x)>
#<alt (/ 1 (* y y))>
#<alt (* y y)>
#<alt (/ 1 (* y (/ y x)))>
#<alt (* y (/ y x))>
#<alt (/ y x)>
#<alt (/ (* (/ 1 y) x) y)>
#<alt (* (/ 1 y) x)>
#<alt (/ 1 y)>
Outputs
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
Calls

45 calls:

TimeVariablePointExpression
0.0ms
x
@0
(* y (/ y x))
0.0ms
x
@-inf
(* y (/ y x))
0.0ms
y
@0
(* y (/ y x))
0.0ms
y
@inf
(* y (/ y x))
0.0ms
y
@inf
(/ 1 (* y (/ y x)))

rewrite350.0ms (5.9%)

Memory
-2.9MiB live, 518.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
2 218×accelerator-lowering-fma.f32
2 218×accelerator-lowering-fma.f64
2 124×*-lowering-*.f32
2 124×*-lowering-*.f64
1 450×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01245
15735
226635
3113835
4561635
0819335
Stop Event
iter limit
node limit
Counts
9 → 1 036
Calls
Call 1
Inputs
(* (/ 1 (* y y)) x)
(/ 1 (* y y))
(* y y)
(/ 1 (* y (/ y x)))
(* y (/ y x))
(/ y x)
(/ (* (/ 1 y) x) y)
(* (/ 1 y) x)
(/ 1 y)
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 x (fma.f64 y y #s(literal 0 binary64))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) (/.f64 x (fma.f64 y y #s(literal 0 binary64))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 x (fma.f64 y y #s(literal 0 binary64))))
(exp.f64 (log.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64)))))
(exp.f64 (*.f64 (fma.f64 (log.f64 (fma.f64 y (/.f64 y x) #s(literal 0 binary64))) #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 (fma.f64 y (/.f64 y x) #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (log.f64 (fma.f64 y (/.f64 y x) #s(literal 0 binary64)))))
(exp.f64 (*.f64 (*.f64 (fma.f64 (log.f64 (fma.f64 y (/.f64 y x) #s(literal 0 binary64))) #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 (fma.f64 y (/.f64 y x) #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x (fma.f64 y y #s(literal 0 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) #s(literal 0 binary64) (/.f64 x (fma.f64 y y #s(literal 0 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64) (/.f64 x (fma.f64 y y #s(literal 0 binary64))))
(neg.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 y x) #s(literal 0 binary64)))
(/.f64 y (*.f64 y (fma.f64 y (/.f64 y x) #s(literal 0 binary64))))
(/.f64 y (*.f64 (fma.f64 y y #s(literal 0 binary64)) (/.f64 y x)))
(/.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y (/.f64 y x) #s(literal 0 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 x)))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x))))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
(/.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 x y))))
(/.f64 #s(literal -1 binary64) (fma.f64 y (/.f64 y x) #s(literal 0 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (/.f64 x y) y)
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (*.f64 (/.f64 y x) (sqrt.f64 y)))
(/.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal 1 binary64))
(/.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -1 binary64))
(/.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))))
(/.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) #s(literal 0 binary64))))
(/.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (+.f64 (log.f64 #s(literal -1 binary64)) #s(literal 0 binary64))))
(/.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) (*.f64 y (sqrt.f64 y)))
(/.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 y (fma.f64 y y #s(literal 0 binary64)))) (*.f64 y (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 y (/.f64 x y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (*.f64 (fma.f64 y y #s(literal 0 binary64)) x))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 y))) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 y)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 y))) (*.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y x)) (*.f64 y (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (/.f64 #s(literal 1 binary64) y))) (fma.f64 y (/.f64 y x) #s(literal 0 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (-.f64 #s(literal 0 binary64) x))) (*.f64 y (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (/.f64 x y))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))))) (/.f64 y x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (/.f64 x (fma.f64 y y #s(literal 0 binary64))))) y)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y y #s(literal 0 binary64)) x)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) x))) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (/.f64 x y))) (*.f64 y (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))))) (fma.f64 y (/.f64 y x) #s(literal 0 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (/.f64 x (fma.f64 y y #s(literal 0 binary64))))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 y (/.f64 y x) #s(literal 0 binary64)) #s(literal -3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) (/.f64 x (fma.f64 y y #s(literal 0 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 x (fma.f64 y y #s(literal 0 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) (/.f64 x (fma.f64 y y #s(literal 0 binary64))))) (/.f64 x (fma.f64 y y #s(literal 0 binary64))))
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(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) (log.f64 y))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 y)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) y)
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (pow.f64 y #s(literal -3/4 binary64)) (pow.f64 y #s(literal -1/4 binary64)))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y y #s(literal 0 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 y y #s(literal 0 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) y))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (log.f64 y) #s(literal 0 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (log.f64 y) #s(literal 0 binary64))))

simplify22.0ms (0.4%)

Memory
-15.8MiB live, 61.7MiB allocated
Algorithm
egg-herbie
Rules
16×/-lowering-/.f32
16×/-lowering-/.f64
*-lowering-*.f32
*-lowering-*.f64
associate-/r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011756
114756
217756
318756
018756
Stop Event
iter limit
saturated
Counts
180 → 180
Calls
Call 1
Inputs
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
Outputs
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)

eval170.0ms (2.9%)

Memory
20.4MiB live, 358.8MiB allocated
Compiler

Compiled 16 123 to 2 076 computations (87.1% saved)

prune476.0ms (8.1%)

Memory
13.4MiB live, 263.0MiB allocated
Pruning

9 alts after pruning (0 fresh and 9 done)

PrunedKeptTotal
New1 21601 216
Fresh000
Picked033
Done066
Total1 21691 225
Accuracy
100.0%
Counts
1 225 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.8%
(/.f64 (/.f64 x y) y)
47.7%
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
47.7%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y)
43.2%
(/.f64 x (*.f64 y y))
47.7%
(/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 y x)))
95.3%
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
47.7%
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
42.7%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)
54.0%
#s(literal -3 binary64)
Compiler

Compiled 221 to 89 computations (59.7% saved)

regimes301.0ms (5.1%)

Memory
-29.4MiB live, 48.0MiB allocated
Counts
18 → 1
Calls
Call 1
Inputs
#s(literal -3 binary64)
(/.f64 x (*.f64 y y))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)
(/.f64 (/.f64 x y) y)
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x #s(literal -3 binary64))
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 y x)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y)
(fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64))
(-.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y) #s(literal 3 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #s(literal 3 binary64))
(/.f64 (*.f64 x (fma.f64 y y #s(literal 0 binary64))) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -9 binary64)) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)))
Outputs
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
Calls

5 calls:

144.0ms
x
142.0ms
(*.f64 y y)
5.0ms
y
5.0ms
(/.f64 x (*.f64 y y))
4.0ms
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
99.9%1(/.f64 x (*.f64 y y))
99.9%1(*.f64 y y)
Compiler

Compiled 27 to 17 computations (37% saved)

regimes15.0ms (0.3%)

Memory
-1.1MiB live, 40.5MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
#s(literal -3 binary64)
(/.f64 x (*.f64 y y))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)
(/.f64 (/.f64 x y) y)
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x #s(literal -3 binary64))
Outputs
(/.f64 (/.f64 x y) y)
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
Calls

5 calls:

4.0ms
x
3.0ms
y
3.0ms
(*.f64 y y)
2.0ms
(/.f64 x (*.f64 y y))
2.0ms
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
Results
AccuracySegmentsBranch
95.3%1x
99.9%2y
99.9%3(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
99.9%3(/.f64 x (*.f64 y y))
99.9%2(*.f64 y y)
Compiler

Compiled 27 to 17 computations (37% saved)

regimes11.0ms (0.2%)

Memory
26.9MiB live, 26.9MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
#s(literal -3 binary64)
(/.f64 x (*.f64 y y))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)
Outputs
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
Calls

5 calls:

2.0ms
x
2.0ms
y
2.0ms
(*.f64 y y)
2.0ms
(/.f64 x (*.f64 y y))
2.0ms
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
Results
AccuracySegmentsBranch
95.3%1x
95.3%1(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
95.3%1(/.f64 x (*.f64 y y))
95.3%1y
95.3%1(*.f64 y y)
Compiler

Compiled 27 to 17 computations (37% saved)

regimes10.0ms (0.2%)

Memory
-11.4MiB live, 27.5MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
#s(literal -3 binary64)
(/.f64 x (*.f64 y y))
(/.f64 x (fma.f64 y y #s(literal 0 binary64)))
Outputs
(/.f64 x (*.f64 y y))
#s(literal -3 binary64)
(/.f64 x (*.f64 y y))
Calls

5 calls:

3.0ms
y
2.0ms
x
2.0ms
(*.f64 y y)
2.0ms
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
2.0ms
(/.f64 x (*.f64 y y))
Results
AccuracySegmentsBranch
94.3%3(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
94.3%3(/.f64 x (*.f64 y y))
68.9%3x
81.5%2y
81.5%2(*.f64 y y)
Compiler

Compiled 27 to 17 computations (37% saved)

regimes7.0ms (0.1%)

Memory
-10.4MiB live, 28.1MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal -3 binary64)
Outputs
#s(literal -3 binary64)
Calls

5 calls:

2.0ms
x
1.0ms
y
1.0ms
(*.f64 y y)
1.0ms
(/.f64 x (*.f64 y y))
1.0ms
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
Results
AccuracySegmentsBranch
54.0%1x
54.0%1y
54.0%1(*.f64 y y)
54.0%1(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
54.0%1(/.f64 x (*.f64 y y))
Compiler

Compiled 27 to 17 computations (37% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
6.3871957749816e-310
2.403951425381417e-309
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9966726760224828
6.047791353540134e+23
0.0ms
-6596053361033364000.0
-3.9942550012350914e-13
Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify8.0ms (0.1%)

Memory
24.1MiB live, 24.1MiB allocated
Algorithm
egg-herbie
Rules
+-commutative_binary64
sub-neg_binary64
*-commutative_binary64
1-exp_binary64
neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01956
12856
23356
33556
43656
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
(if (<=.f64 (*.f64 y y) #s(literal 202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (/.f64 x y) y) (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)))
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
(if (<=.f64 (/.f64 x (*.f64 y y)) #s(literal -5000000000000000000 binary64)) (/.f64 x (*.f64 y y)) (if (<=.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64)) #s(literal -3 binary64) (/.f64 x (*.f64 y y))))
#s(literal -3 binary64)
Outputs
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
(if (<=.f64 (*.f64 y y) #s(literal 202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (/.f64 x y) y) (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)))
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
(if (<=.f64 (/.f64 x (*.f64 y y)) #s(literal -5000000000000000000 binary64)) (/.f64 x (*.f64 y y)) (if (<=.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64)) #s(literal -3 binary64) (/.f64 x (*.f64 y y))))
#s(literal -3 binary64)

soundness887.0ms (15%)

Memory
-27.3MiB live, 392.3MiB allocated
Rules
6 216×accelerator-lowering-fma.f32
6 216×accelerator-lowering-fma.f64
4 496×*-lowering-*.f32
4 496×*-lowering-*.f64
4 186×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01848
112146
294046
0895543
0615
13515
228515
3324015
0814414
021300
143300
2103300
3250300
4472300
5785300
61177300
71855300
82697300
93327300
103815300
114073300
124256300
134723300
145512300
156174300
167377300
08081300
Stop Event
done
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 107 to 49 computations (54.2% saved)

preprocess47.0ms (0.8%)

Memory
-4.5MiB live, 146.2MiB allocated
Remove

(abs y)

Compiler

Compiled 196 to 86 computations (56.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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