Data.Colour.SRGB:invTransferFunction from colour-2.3.3

Time bar (total: 9.3s)

analyze13.0ms (0.1%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
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 10 to 7 computations (30% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-add: 2.0ms (53.3% of total)
ival-div: 1.0ms (26.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample614.0ms (6.6%)

Results
423.0ms8253×0valid
0.0ms2×2valid
0.0ms1×1valid
Precisions
Click to see histograms. Total time spent on operations: 203.0ms
ival-add: 118.0ms (58.2% of total)
ival-div: 72.0ms (35.5% of total)
const: 10.0ms (4.9% of total)
backward-pass: 3.0ms (1.5% of total)
Bogosity

preprocess55.0ms (0.6%)

Algorithm
2×egg-herbie
Rules
452×times-frac
348×associate-*r*
298×div-sub
238×unsub-neg
238×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01848
14442
28842
320642
457842
5121742
6164342
7202642
8216242
9222942
10223342
067
1107
0107
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(/ (+ x y) (+ y 1))
Outputs
(/ (+ x y) (+ y 1))
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
Call 2
Inputs
(/ (+ x y) (+ y 1))
(/ (+ (neg x) y) (+ y 1))
(/ (+ x (neg y)) (+ (neg y) 1))
(neg (/ (+ (neg x) y) (+ y 1)))
(neg (/ (+ x (neg y)) (+ (neg y) 1)))
(/ (+ y x) (+ x 1))
Outputs
(/ (+ x y) (+ y 1))
(/ (+ (neg x) y) (+ y 1))
(/ (- y x) (+ y 1))
(/ (+ x (neg y)) (+ (neg y) 1))
(/ (- y x) (+ y -1))
(neg (/ (+ (neg x) y) (+ y 1)))
(/ (- y x) (- -1 y))
(neg (/ (+ x (neg y)) (+ (neg y) 1)))
(/ (- y x) (- 1 y))
(/ (+ y x) (+ x 1))
(/ (+ x y) (+ x 1))

explain100.0ms (1.1%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(+.f64 x y)
00-0-#s(literal 1 binary64)
00-0-y
00-0-(+.f64 y #s(literal 1 binary64))
00-0-(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
Results
80.0ms512×0valid
Compiler

Compiled 47 to 20 computations (57.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-add: 43.0ms (90.5% of total)
ival-div: 3.0ms (6.3% of total)
const: 1.0ms (2.1% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify10.0ms (0.1%)

Algorithm
1×egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 y #s(literal 1 binary64))
✓cost-diff0
(+.f64 x y)
✓cost-diff0
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
Rules
8×+-lowering-+.f64
8×+-lowering-+.f32
4×+-commutative
2×/-lowering-/.f32
2×/-lowering-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0616
11016
01016
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ (+ x y) (+ y 1))
(+ x y)
x
y
(+ y 1)
1
Outputs
(/ (+ x y) (+ y 1))
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
(+ x y)
(+.f64 x y)
x
y
(+ y 1)
(+.f64 y #s(literal 1 binary64))
1
#s(literal 1 binary64)

localize25.0ms (0.3%)

Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 y #s(literal 1 binary64))
✓accuracy100.0%
(+.f64 x y)
✓accuracy100.0%
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
Results
16.0ms256×0valid
Compiler

Compiled 19 to 7 computations (63.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-add: 5.0ms (72.8% of total)
ival-div: 2.0ms (29.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series8.0ms (0.1%)

Counts
3 → 60
Calls
Call 1
Inputs
#<alt (/ (+ x y) (+ y 1))>
#<alt (+ x y)>
#<alt (+ y 1)>
Outputs
#<alt (/ y (+ 1 y))>
#<alt (+ (/ x (+ 1 y)) (/ y (+ 1 y)))>
#<alt (+ (/ x (+ 1 y)) (/ y (+ 1 y)))>
#<alt (+ (/ x (+ 1 y)) (/ y (+ 1 y)))>
#<alt (/ x (+ 1 y))>
#<alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))>
#<alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))>
#<alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))>
#<alt (/ x (+ 1 y))>
#<alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))>
#<alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))>
#<alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))>
#<alt x>
#<alt (+ x (* y (- 1 x)))>
#<alt (+ x (* y (- (+ 1 (* y (- x 1))) x)))>
#<alt (+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))>
#<alt 1>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt (- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))>
#<alt (- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 x)) y)))>
#<alt (+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y)))>
#<alt (+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y)))>
#<alt y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt 1>
#<alt (+ 1 y)>
#<alt (+ 1 y)>
#<alt (+ 1 y)>
#<alt y>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt y>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
Calls

15 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/ (+ x y) (+ y 1))
0.0ms
x
@-inf
(/ (+ x y) (+ y 1))
0.0ms
x
@0
(/ (+ x y) (+ y 1))
0.0ms
x
@inf
(+ x y)
0.0ms
y
@-inf
(/ (+ x y) (+ y 1))

rewrite622.0ms (6.7%)

Algorithm
1×batch-egg-rewrite
Rules
5790×/-lowering-/.f32
5790×/-lowering-/.f64
5040×*-lowering-*.f32
5040×*-lowering-*.f64
2694×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
14013
230413
3373913
0990013
Stop Event
1×iter limit
1×node limit
Counts
3 → 471
Calls
Call 1
Inputs
(/ (+ x y) (+ y 1))
(+ x y)
(+ y 1)
Outputs
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) x) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) y))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) y) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) x))
(+.f64 (*.f64 (/.f64 (+.f64 x y) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (*.f64 y y)) (*.f64 (/.f64 (+.f64 x y) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (-.f64 #s(literal 1 binary64) y)))
(+.f64 (*.f64 (/.f64 (+.f64 x y) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (-.f64 #s(literal 1 binary64) y)) (*.f64 (/.f64 (+.f64 x y) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (*.f64 y y)))
(+.f64 (*.f64 (/.f64 (+.f64 x y) (+.f64 (*.f64 y y) #s(literal -1 binary64))) y) (*.f64 (/.f64 (+.f64 x y) (+.f64 (*.f64 y y) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))) (*.f64 y (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))))
(+.f64 (*.f64 y (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))) (*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))))
(+.f64 (*.f64 (*.f64 y y) (/.f64 (+.f64 x y) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 x y) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 x y) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 y y) (/.f64 (+.f64 x y) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))))
(+.f64 (*.f64 y (/.f64 (+.f64 x y) (+.f64 (*.f64 y y) #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) (+.f64 (*.f64 y y) #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 x y))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 x y) (-.f64 #s(literal -1 binary64) y)))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (+.f64 y #s(literal 1 binary64))) (/.f64 (/.f64 (*.f64 y y) (-.f64 x y)) (+.f64 y #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) y)) (/.f64 (+.f64 x y) (-.f64 #s(literal -1 binary64) y)))
(-.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 x y))) (/.f64 (*.f64 y y) (*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 x y))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 y #s(literal 1 binary64))) (/.f64 (+.f64 x y) (-.f64 #s(literal -1 binary64) y)))
(-.f64 (/.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (+.f64 y #s(literal 1 binary64))) (/.f64 (/.f64 (*.f64 x x) (-.f64 y x)) (+.f64 y #s(literal 1 binary64))))
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal -1 binary64) y)) (/.f64 x (-.f64 #s(literal -1 binary64) y)))
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal -1 binary64) y)) (/.f64 y (-.f64 #s(literal -1 binary64) y)))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) (-.f64 x y))) (-.f64 #s(literal -1 binary64) y)) (/.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal 0 binary64) (-.f64 x y))) (-.f64 #s(literal -1 binary64) y)))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 (*.f64 y y) (*.f64 x (-.f64 x y))))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 (*.f64 y y) (*.f64 x (-.f64 x y))))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y y) (*.f64 x (-.f64 x y)))) (-.f64 #s(literal -1 binary64) y))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y y) (*.f64 x (-.f64 x y)))) (-.f64 #s(literal -1 binary64) y))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y y) (*.f64 x (-.f64 x y)))))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y y) (*.f64 x (-.f64 x y)))))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y y) (+.f64 (*.f64 y y) (*.f64 x x))))) (*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 x y))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y y) (+.f64 (*.f64 y y) (*.f64 x x))))) (*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 x y))))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 (*.f64 y y) (*.f64 x x))) (*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 x y))) (/.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (+.f64 (*.f64 y y) (*.f64 x x))) (*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 x y))))
(-.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 x y)) (-.f64 #s(literal -1 binary64) y))) (/.f64 (*.f64 y y) (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 x y)) (-.f64 #s(literal -1 binary64) y))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y y) (+.f64 (*.f64 y y) (*.f64 x x))))) (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 x y)) (-.f64 #s(literal -1 binary64) y))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y y) (+.f64 (*.f64 y y) (*.f64 x x))))) (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 x y)) (-.f64 #s(literal -1 binary64) y))))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 (*.f64 y y) (*.f64 x x))) (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 x y)) (-.f64 #s(literal -1 binary64) y))) (/.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (+.f64 (*.f64 y y) (*.f64 x x))) (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 x y)) (-.f64 #s(literal -1 binary64) y))))
(-.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) (-.f64 x y)))) (/.f64 (*.f64 y y) (*.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) (-.f64 x y)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y y) (+.f64 (*.f64 y y) (*.f64 x x))))) (*.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) (-.f64 x y)))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y y) (+.f64 (*.f64 y y) (*.f64 x x))))) (*.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) (-.f64 x y)))))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 (*.f64 y y) (*.f64 x x))) (*.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) (-.f64 x y)))) (/.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (+.f64 (*.f64 y y) (*.f64 x x))) (*.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) (-.f64 x y)))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y y) (*.f64 x (-.f64 x y)))))) (/.f64 (+.f64 x y) (-.f64 #s(literal -1 binary64) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal -1 binary64) y) (+.f64 (*.f64 y y) (*.f64 x (-.f64 x y))))) (/.f64 (+.f64 x y) (-.f64 #s(literal -1 binary64) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 (*.f64 y y) (*.f64 x (-.f64 x y)))))) (/.f64 (+.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (neg.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 (*.f64 y y) (*.f64 x (-.f64 x y)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (-.f64 x y)))) (/.f64 (+.f64 x y) (-.f64 #s(literal -1 binary64) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 x y))) (/.f64 (+.f64 x y) (-.f64 #s(literal -1 binary64) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 x y)))) (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (neg.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 x y)))))
(-.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 x y))) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 x y))))
(-.f64 (/.f64 (/.f64 y (+.f64 (*.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x y))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x y))))
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(*.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))
(*.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))))
(*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))))
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(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y))
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(*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (+.f64 (*.f64 y y) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) #s(literal -1 binary64))) #s(literal -1 binary64)))
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(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))
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(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64)))) (+.f64 (+.f64 (*.f64 y y) #s(literal -1 binary64)) y))) (+.f64 (+.f64 (*.f64 y y) #s(literal -1 binary64)) y))
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simplify809.0ms (8.7%)

Algorithm
1×egg-herbie
Rules
12130×accelerator-lowering-fma.f32
12130×accelerator-lowering-fma.f64
3512×+-lowering-+.f64
3512×+-lowering-+.f32
3160×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088362
1263358
2670338
32440308
08253300
Stop Event
1×iter limit
1×node limit
Counts
60 → 60
Calls
Call 1
Inputs
(/ y (+ 1 y))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(/ x (+ 1 y))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(/ x (+ 1 y))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
x
(+ x (* y (- 1 x)))
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))
1
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))
1
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y)))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y)))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y)))
y
(+ x y)
(+ x y)
(+ x y)
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
x
(+ x y)
(+ x y)
(+ x y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
1
(+ 1 y)
(+ 1 y)
(+ 1 y)
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
Outputs
(/ y (+ 1 y))
(/.f64 y (+.f64 y #s(literal 1 binary64)))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 y x))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 y x))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 y x))
(/ x (+ 1 y))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 y x))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 y x))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 y x))
(/ x (+ 1 y))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 y x))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 y x))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 y x))
x
(+ x (* y (- 1 x)))
(+.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) x)))
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(+.f64 x (*.f64 y (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))))
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))
(+.f64 x (*.f64 y (+.f64 (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (+.f64 y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x))))
1
#s(literal 1 binary64)
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y))))
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (*.f64 y (*.f64 y y))) (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y)))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y))))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))) y)) y))
y
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
x
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* x (+ 1 (/ y x)))
(+.f64 y x)
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
x
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
y
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* y (+ 1 (/ x y)))
(+.f64 y x)
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
1
#s(literal 1 binary64)
(+ 1 y)
(+.f64 y #s(literal 1 binary64))
(+ 1 y)
(+.f64 y #s(literal 1 binary64))
(+ 1 y)
(+.f64 y #s(literal 1 binary64))
y
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
y
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))

eval163.0ms (1.8%)

Compiler

Compiled 13398 to 1484 computations (88.9% saved)

prune114.0ms (1.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New5238531
Fresh000
Picked011
Done000
Total5239532
Accuracy
100.0%
Counts
532 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
50.8%
(/.f64 (+.f64 x y) y)
▶49.2%
(/.f64 (+.f64 x y) #s(literal 1 binary64))
52.0%
(/.f64 y (+.f64 y #s(literal 1 binary64)))
▶49.8%
(/.f64 x (+.f64 y #s(literal 1 binary64)))
▶99.8%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 x y)))
▶50.5%
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
37.8%
x
▶39.8%
#s(literal 1 binary64)
Compiler

Compiled 117 to 82 computations (29.9% saved)

simplify107.0ms (1.2%)

Algorithm
1×egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 x #s(literal -1 binary64))
✓cost-diff0
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
✓cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
✓cost-diff0
(+.f64 x y)
✓cost-diff128
(/.f64 (+.f64 x y) #s(literal 1 binary64))
✓cost-diff0
(+.f64 y #s(literal 1 binary64))
✓cost-diff0
(/.f64 x (+.f64 y #s(literal 1 binary64)))
✓cost-diff0
(+.f64 x y)
✓cost-diff0
(+.f64 y #s(literal 1 binary64))
✓cost-diff0
(/.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 x y))
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 x y)))
Rules
784×accelerator-lowering-fma.f32
784×accelerator-lowering-fma.f64
400×*-lowering-*.f32
400×*-lowering-*.f64
278×div-sub
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01365
12165
23563
36163
48663
510763
611763
713363
813763
914263
1015063
1115863
1220463
1323363
1425963
1530963
1639963
1754463
1866263
1981663
20125263
21162163
22168863
23172663
24173163
25173263
0173263
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ 1 (/ (+ y 1) (+ x y)))
1
(/ (+ y 1) (+ x y))
(+ y 1)
y
(+ x y)
x
1
(/ x (+ y 1))
x
(+ y 1)
y
1
(/ (+ x y) 1)
(+ x y)
x
y
1
(+ 1 (/ (+ x -1) y))
1
(/ (+ x -1) y)
(+ x -1)
x
-1
y
Outputs
(/ 1 (/ (+ y 1) (+ x y)))
(/.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) y))
1
#s(literal 1 binary64)
(/ (+ y 1) (+ x y))
(/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 y x))
(+ y 1)
(+.f64 #s(literal 1 binary64) y)
y
(+ x y)
(+.f64 y x)
x
1
#s(literal 1 binary64)
(/ x (+ y 1))
(/.f64 x (+.f64 #s(literal 1 binary64) y))
x
(+ y 1)
(+.f64 #s(literal 1 binary64) y)
y
1
#s(literal 1 binary64)
(/ (+ x y) 1)
(+.f64 y x)
(+ x y)
(+.f64 y x)
x
y
1
#s(literal 1 binary64)
(+ 1 (/ (+ x -1) y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
1
#s(literal 1 binary64)
(/ (+ x -1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(+ x -1)
(+.f64 x #s(literal -1 binary64))
x
-1
#s(literal -1 binary64)
y

localize102.0ms (1.1%)

Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 x #s(literal -1 binary64))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
✓accuracy100.0%
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
✓accuracy100.0%
(/.f64 (+.f64 x y) #s(literal 1 binary64))
✓accuracy100.0%
(+.f64 x y)
✓accuracy100.0%
(+.f64 y #s(literal 1 binary64))
✓accuracy100.0%
(/.f64 x (+.f64 y #s(literal 1 binary64)))
✓accuracy100.0%
(+.f64 y #s(literal 1 binary64))
✓accuracy100.0%
(+.f64 x y)
✓accuracy100.0%
(/.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 x y))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 x y)))
Results
64.0ms256×0valid
Compiler

Compiled 70 to 14 computations (80% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-div: 11.0ms (62.7% of total)
ival-add: 5.0ms (28.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series22.0ms (0.2%)

Counts
9 → 192
Calls
Call 1
Inputs
#<alt (/ 1 (/ (+ y 1) (+ x y)))>
#<alt (/ (+ y 1) (+ x y))>
#<alt (+ y 1)>
#<alt (+ x y)>
#<alt (/ x (+ y 1))>
#<alt (/ (+ x y) 1)>
#<alt (+ 1 (/ (+ x -1) y))>
#<alt (/ (+ x -1) y)>
#<alt (+ x -1)>
Outputs
#<alt x>
#<alt (+ x (* y (- 1 x)))>
#<alt (+ x (* y (- (+ 1 (* y (- x 1))) x)))>
#<alt (+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))>
#<alt 1>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt (- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))>
#<alt (- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 x)) y)))>
#<alt (+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y)))>
#<alt (+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y)))>
#<alt (/ y (+ 1 y))>
#<alt (+ (/ x (+ 1 y)) (/ y (+ 1 y)))>
#<alt (+ (/ x (+ 1 y)) (/ y (+ 1 y)))>
#<alt (+ (/ x (+ 1 y)) (/ y (+ 1 y)))>
#<alt (/ x (+ 1 y))>
#<alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))>
#<alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))>
#<alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))>
#<alt (/ x (+ 1 y))>
#<alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))>
#<alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))>
#<alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))>
#<alt (/ 1 x)>
#<alt (+ (* y (- (/ 1 x) (/ 1 (pow x 2)))) (/ 1 x))>
#<alt (+ (* y (- (+ (* y (- (/ 1 (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x)) (/ 1 (pow x 2)))) (/ 1 x))>
#<alt (+ (* y (- (+ (* y (- (+ (* y (- (/ 1 (pow x 3)) (/ 1 (pow x 4)))) (/ 1 (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)) (/ 1 (pow x 2)))) (/ 1 x))>
#<alt 1>
#<alt (- (+ 1 (/ 1 y)) (/ x y))>
#<alt (- (+ 1 (+ (* -1 (/ (* x (- 1 x)) (pow y 2))) (/ 1 y))) (/ x y))>
#<alt (- (+ 1 (+ (/ 1 y) (/ (* (pow x 2) (- 1 x)) (pow y 3)))) (+ (/ x y) (/ (* x (- 1 x)) (pow y 2))))>
#<alt 1>
#<alt (+ 1 (+ (* -1 (/ x y)) (/ 1 y)))>
#<alt (+ 1 (* -1 (/ (- (/ (* x (+ 1 (* -1 x))) y) (+ 1 (* -1 x))) y)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (+ 1 (* -1 x))) y) (* x (+ 1 (* -1 x)))) y)) (+ 1 (* -1 x))) y)))>
#<alt (/ (+ 1 y) y)>
#<alt (+ 1 (+ (* -1 (* x (+ (/ 1 y) (/ 1 (pow y 2))))) (/ 1 y)))>
#<alt (+ 1 (+ (* x (- (/ (* x (+ (/ 1 y) (/ 1 (pow y 2)))) y) (+ (/ 1 y) (/ 1 (pow y 2))))) (/ 1 y)))>
#<alt (+ 1 (+ (* x (- (* x (- (* -1 (* x (+ (/ 1 (pow y 3)) (/ 1 (pow y 4))))) (* -1 (/ (+ (/ 1 y) (/ 1 (pow y 2))) y)))) (+ (/ 1 y) (/ 1 (pow y 2))))) (/ 1 y)))>
#<alt (/ (+ 1 y) x)>
#<alt (/ (+ 1 (+ y (* -1 (/ (* y (+ 1 y)) x)))) x)>
#<alt (/ (- (+ 1 (+ y (/ (* (pow y 2) (+ 1 y)) (pow x 2)))) (/ (* y (+ 1 y)) x)) x)>
#<alt (/ (- (+ 1 (+ y (* -1 (/ (* (pow y 3) (+ 1 y)) (pow x 3))))) (+ (* -1 (/ (* (pow y 2) (+ 1 y)) (pow x 2))) (/ (* y (+ 1 y)) x))) x)>
#<alt (/ (+ 1 y) x)>
#<alt (* -1 (/ (+ (* -1 (+ 1 y)) (/ (* y (+ 1 y)) x)) x))>
#<alt (* -1 (/ (+ (* -1 (+ 1 y)) (* -1 (/ (- (/ (* (pow y 2) (+ 1 y)) x) (* y (+ 1 y))) x))) x))>
#<alt (* -1 (/ (+ (* -1 (+ 1 y)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (+ 1 y)) x) (* (pow y 2) (+ 1 y))) x)) (* y (+ 1 y))) x))) x))>
#<alt 1>
#<alt (+ 1 y)>
#<alt (+ 1 y)>
#<alt (+ 1 y)>
#<alt y>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt y>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (/ x (+ 1 y))>
#<alt (/ x (+ 1 y))>
#<alt (/ x (+ 1 y))>
#<alt (/ x (+ 1 y))>
#<alt (/ x (+ 1 y))>
#<alt (/ x (+ 1 y))>
#<alt (/ x (+ 1 y))>
#<alt (/ x (+ 1 y))>
#<alt (/ x (+ 1 y))>
#<alt (/ x (+ 1 y))>
#<alt (/ x (+ 1 y))>
#<alt (/ x (+ 1 y))>
#<alt x>
#<alt (+ x (* -1 (* x y)))>
#<alt (+ x (* y (- (* x y) x)))>
#<alt (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))>
#<alt (/ x y)>
#<alt (/ (+ x (* -1 (/ x y))) y)>
#<alt (/ (- (+ x (/ x (pow y 2))) (/ x y)) y)>
#<alt (/ (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) y)>
#<alt (/ x y)>
#<alt (* -1 (/ (+ (* -1 x) (/ x y)) y))>
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x y) x) y))) y))>
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x y) x) y)) x) y))) y))>
#<alt y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (- 1 (/ 1 y))>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt (/ x y)>
#<alt (* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))>
#<alt (* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))>
#<alt (* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))>
#<alt (/ x y)>
#<alt (* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))>
#<alt (/ (- x 1) y)>
#<alt (/ (- (+ x y) 1) y)>
#<alt (/ (- (+ x y) 1) y)>
#<alt (/ (- (+ x y) 1) y)>
#<alt 1>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt 1>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt (/ -1 y)>
#<alt (- (/ x y) (/ 1 y))>
#<alt (- (/ x y) (/ 1 y))>
#<alt (- (/ x y) (/ 1 y))>
#<alt (/ x y)>
#<alt (* x (- (/ 1 y) (/ 1 (* x y))))>
#<alt (* x (- (/ 1 y) (/ 1 (* x y))))>
#<alt (* x (- (/ 1 y) (/ 1 (* x y))))>
#<alt (/ x y)>
#<alt (* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))>
#<alt (* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))>
#<alt (* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt -1>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt x>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt x>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
Calls

48 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/ (+ x -1) y)
1.0ms
x
@0
(/ x (+ y 1))
1.0ms
x
@inf
(/ x (+ y 1))
0.0ms
x
@0
(+ 1 (/ (+ x -1) y))
0.0ms
x
@-inf
(+ 1 (/ (+ x -1) y))

rewrite468.0ms (5.1%)

Algorithm
1×batch-egg-rewrite
Rules
4718×accelerator-lowering-fma.f32
4718×accelerator-lowering-fma.f64
4396×*-lowering-*.f32
4396×*-lowering-*.f64
4224×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01345
19443
276343
0862743
Stop Event
1×iter limit
1×node limit
Counts
9 → 805
Calls
Call 1
Inputs
(/ 1 (/ (+ y 1) (+ x y)))
(/ (+ y 1) (+ x y))
(+ y 1)
(+ x y)
(/ x (+ y 1))
(/ (+ x y) 1)
(+ 1 (/ (+ x -1) y))
(/ (+ x -1) y)
(+ x -1)
Outputs
(+.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
(+.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y))))
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(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(neg.f64 (-.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 x x))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 x x))))))
(/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 x x)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) #s(literal -1 binary64))) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 x x))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 x x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) #s(literal -1 binary64)))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) #s(literal -1 binary64)))) (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (+.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 x x))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 x x)))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) #s(literal -1 binary64)))) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 x x)))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) #s(literal -1 binary64))) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 x x))))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))))))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 x x))))) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 (*.f64 x x) #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))
(*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 x x)))))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 x x)))) #s(literal 1 binary64)))
(*.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(*.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 x x))))))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)))
(*.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 x x)))))
(*.f64 (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))

simplify766.0ms (8.3%)

Algorithm
1×egg-herbie
Rules
24286×accelerator-lowering-fma.f32
24286×accelerator-lowering-fma.f64
4836×*-lowering-*.f32
4836×*-lowering-*.f64
4316×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02731512
18431450
223341367
082371318
Stop Event
1×iter limit
1×node limit
Counts
192 → 192
Calls
Call 1
Inputs
x
(+ x (* y (- 1 x)))
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))
1
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))
1
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y)))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y)))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y)))
(/ y (+ 1 y))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(/ x (+ 1 y))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(/ x (+ 1 y))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(/ 1 x)
(+ (* y (- (/ 1 x) (/ 1 (pow x 2)))) (/ 1 x))
(+ (* y (- (+ (* y (- (/ 1 (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x)) (/ 1 (pow x 2)))) (/ 1 x))
(+ (* y (- (+ (* y (- (+ (* y (- (/ 1 (pow x 3)) (/ 1 (pow x 4)))) (/ 1 (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)) (/ 1 (pow x 2)))) (/ 1 x))
1
(- (+ 1 (/ 1 y)) (/ x y))
(- (+ 1 (+ (* -1 (/ (* x (- 1 x)) (pow y 2))) (/ 1 y))) (/ x y))
(- (+ 1 (+ (/ 1 y) (/ (* (pow x 2) (- 1 x)) (pow y 3)))) (+ (/ x y) (/ (* x (- 1 x)) (pow y 2))))
1
(+ 1 (+ (* -1 (/ x y)) (/ 1 y)))
(+ 1 (* -1 (/ (- (/ (* x (+ 1 (* -1 x))) y) (+ 1 (* -1 x))) y)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (+ 1 (* -1 x))) y) (* x (+ 1 (* -1 x)))) y)) (+ 1 (* -1 x))) y)))
(/ (+ 1 y) y)
(+ 1 (+ (* -1 (* x (+ (/ 1 y) (/ 1 (pow y 2))))) (/ 1 y)))
(+ 1 (+ (* x (- (/ (* x (+ (/ 1 y) (/ 1 (pow y 2)))) y) (+ (/ 1 y) (/ 1 (pow y 2))))) (/ 1 y)))
(+ 1 (+ (* x (- (* x (- (* -1 (* x (+ (/ 1 (pow y 3)) (/ 1 (pow y 4))))) (* -1 (/ (+ (/ 1 y) (/ 1 (pow y 2))) y)))) (+ (/ 1 y) (/ 1 (pow y 2))))) (/ 1 y)))
(/ (+ 1 y) x)
(/ (+ 1 (+ y (* -1 (/ (* y (+ 1 y)) x)))) x)
(/ (- (+ 1 (+ y (/ (* (pow y 2) (+ 1 y)) (pow x 2)))) (/ (* y (+ 1 y)) x)) x)
(/ (- (+ 1 (+ y (* -1 (/ (* (pow y 3) (+ 1 y)) (pow x 3))))) (+ (* -1 (/ (* (pow y 2) (+ 1 y)) (pow x 2))) (/ (* y (+ 1 y)) x))) x)
(/ (+ 1 y) x)
(* -1 (/ (+ (* -1 (+ 1 y)) (/ (* y (+ 1 y)) x)) x))
(* -1 (/ (+ (* -1 (+ 1 y)) (* -1 (/ (- (/ (* (pow y 2) (+ 1 y)) x) (* y (+ 1 y))) x))) x))
(* -1 (/ (+ (* -1 (+ 1 y)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (+ 1 y)) x) (* (pow y 2) (+ 1 y))) x)) (* y (+ 1 y))) x))) x))
1
(+ 1 y)
(+ 1 y)
(+ 1 y)
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
y
(+ x y)
(+ x y)
(+ x y)
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
x
(+ x y)
(+ x y)
(+ x y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
x
(+ x (* -1 (* x y)))
(+ x (* y (- (* x y) x)))
(+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))
(/ x y)
(/ (+ x (* -1 (/ x y))) y)
(/ (- (+ x (/ x (pow y 2))) (/ x y)) y)
(/ (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) y)
(/ x y)
(* -1 (/ (+ (* -1 x) (/ x y)) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x y) x) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x y) x) y)) x) y))) y))
y
(+ x y)
(+ x y)
(+ x y)
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
x
(+ x y)
(+ x y)
(+ x y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(- 1 (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(/ x y)
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(/ x y)
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))
(/ (- x 1) y)
(/ (- (+ x y) 1) y)
(/ (- (+ x y) 1) y)
(/ (- (+ x y) 1) y)
1
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
1
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(/ -1 y)
(- (/ x y) (/ 1 y))
(- (/ x y) (/ 1 y))
(- (/ x y) (/ 1 y))
(/ x y)
(* x (- (/ 1 y) (/ 1 (* x y))))
(* x (- (/ 1 y) (/ 1 (* x y))))
(* x (- (/ 1 y) (/ 1 (* x y))))
(/ x y)
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
-1
(- x 1)
(- x 1)
(- x 1)
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
Outputs
x
(+ x (* y (- 1 x)))
(+.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) x)))
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(+.f64 x (*.f64 y (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))))
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))
(+.f64 x (*.f64 y (+.f64 (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) x))))
1
#s(literal 1 binary64)
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)))
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))
(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 (/.f64 x (*.f64 y y)) y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) y))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y)))
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))))) y))
(/ y (+ 1 y))
(/.f64 y (+.f64 y #s(literal 1 binary64)))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(/ x (+ 1 y))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(+.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64)))) #s(literal -1 binary64)))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(+.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64)))) #s(literal -1 binary64)))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(+.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64)))) #s(literal -1 binary64)))
(/ x (+ 1 y))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(+.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64)))) #s(literal -1 binary64)))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(+.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64)))) #s(literal -1 binary64)))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(+.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64)))) #s(literal -1 binary64)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* y (- (/ 1 x) (/ 1 (pow x 2)))) (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x x)))))
(+ (* y (- (+ (* y (- (/ 1 (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x)) (/ 1 (pow x 2)))) (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (*.f64 y (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 #s(literal -1 binary64) (*.f64 x x)))))))
(+ (* y (- (+ (* y (- (+ (* y (- (/ 1 (pow x 3)) (/ 1 (pow x 4)))) (/ 1 (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)) (/ 1 (pow x 2)))) (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 y (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (*.f64 y (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))) (/.f64 #s(literal -1 binary64) (*.f64 x x))))))
1
#s(literal 1 binary64)
(- (+ 1 (/ 1 y)) (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(- (+ 1 (+ (* -1 (/ (* x (- 1 x)) (pow y 2))) (/ 1 y))) (/ x y))
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 (/.f64 x y) #s(literal -1 binary64))))
(- (+ 1 (+ (/ 1 y) (/ (* (pow x 2) (- 1 x)) (pow y 3)))) (+ (/ x y) (/ (* x (- 1 x)) (pow y 2))))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 x y) #s(literal -1 binary64)))) y) y)) (/.f64 x y)))
1
#s(literal 1 binary64)
(+ 1 (+ (* -1 (/ x y)) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(+ 1 (* -1 (/ (- (/ (* x (+ 1 (* -1 x))) y) (+ 1 (* -1 x))) y)))
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 (/.f64 x y) #s(literal -1 binary64))))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (+ 1 (* -1 x))) y) (* x (+ 1 (* -1 x)))) y)) (+ 1 (* -1 x))) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 x y) #s(literal -1 binary64)))) y) (-.f64 #s(literal 1 binary64) x)) y))
(/ (+ 1 y) y)
(/.f64 (+.f64 y #s(literal 1 binary64)) y)
(+ 1 (+ (* -1 (* x (+ (/ 1 y) (/ 1 (pow y 2))))) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 x y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)))))
(+ 1 (+ (* x (- (/ (* x (+ (/ 1 y) (/ 1 (pow y 2)))) y) (+ (/ 1 y) (/ 1 (pow y 2))))) (/ 1 y)))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (+.f64 (/.f64 x y) #s(literal -1 binary64)))))
(+ 1 (+ (* x (- (* x (- (* -1 (* x (+ (/ 1 (pow y 3)) (/ 1 (pow y 4))))) (* -1 (/ (+ (/ 1 y) (/ 1 (pow y 2))) y)))) (+ (/ 1 y) (/ 1 (pow y 2))))) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (+.f64 (*.f64 x (-.f64 (/.f64 x (*.f64 (*.f64 y (*.f64 y (-.f64 #s(literal 0 binary64) y))) y)) (/.f64 (/.f64 x (*.f64 y y)) y))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (+.f64 (/.f64 x y) #s(literal -1 binary64)))))))
(/ (+ 1 y) x)
(/.f64 (+.f64 y #s(literal 1 binary64)) x)
(/ (+ 1 (+ y (* -1 (/ (* y (+ 1 y)) x)))) x)
(/.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 (/.f64 y x) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) x))
(/ (- (+ 1 (+ y (/ (* (pow y 2) (+ 1 y)) (pow x 2)))) (/ (* y (+ 1 y)) x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 y (/.f64 (*.f64 y (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 (/.f64 y x) #s(literal -1 binary64)))) x))) x)
(/ (- (+ 1 (+ y (* -1 (/ (* (pow y 3) (+ 1 y)) (pow x 3))))) (+ (* -1 (/ (* (pow y 2) (+ 1 y)) (pow x 2))) (/ (* y (+ 1 y)) x))) x)
(/.f64 (+.f64 y (+.f64 (/.f64 (-.f64 (*.f64 y (-.f64 #s(literal -1 binary64) y)) (/.f64 (*.f64 (*.f64 y y) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 (/.f64 y x) #s(literal -1 binary64)))) x)) x) #s(literal 1 binary64))) x)
(/ (+ 1 y) x)
(/.f64 (+.f64 y #s(literal 1 binary64)) x)
(* -1 (/ (+ (* -1 (+ 1 y)) (/ (* y (+ 1 y)) x)) x))
(/.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 (/.f64 y x) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) x))
(* -1 (/ (+ (* -1 (+ 1 y)) (* -1 (/ (- (/ (* (pow y 2) (+ 1 y)) x) (* y (+ 1 y))) x))) x))
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 y (/.f64 (*.f64 y (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 (/.f64 y x) #s(literal -1 binary64)))) x))) x)
(* -1 (/ (+ (* -1 (+ 1 y)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (+ 1 y)) x) (* (pow y 2) (+ 1 y))) x)) (* y (+ 1 y))) x))) x))
(/.f64 (+.f64 y (+.f64 (/.f64 (-.f64 (*.f64 y (-.f64 #s(literal -1 binary64) y)) (/.f64 (*.f64 (*.f64 y y) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 (/.f64 y x) #s(literal -1 binary64)))) x)) x) #s(literal 1 binary64))) x)
1
#s(literal 1 binary64)
(+ 1 y)
(+.f64 y #s(literal 1 binary64))
(+ 1 y)
(+.f64 y #s(literal 1 binary64))
(+ 1 y)
(+.f64 y #s(literal 1 binary64))
y
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
y
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
y
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
x
(* x (+ 1 (/ y x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(* x (+ 1 (/ y x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(* x (+ 1 (/ y x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
x
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
y
(* y (+ 1 (/ x y)))
(+.f64 x y)
(* y (+ 1 (/ x y)))
(+.f64 x y)
(* y (+ 1 (/ x y)))
(+.f64 x y)
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
(/ x (+ 1 y))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
(/ x (+ 1 y))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
(/ x (+ 1 y))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
(/ x (+ 1 y))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
(/ x (+ 1 y))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
(/ x (+ 1 y))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
(/ x (+ 1 y))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
(/ x (+ 1 y))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
(/ x (+ 1 y))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
(/ x (+ 1 y))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
(/ x (+ 1 y))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
(/ x (+ 1 y))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
x
(+ x (* -1 (* x y)))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(+ x (* y (- (* x y) x)))
(+.f64 x (*.f64 y (*.f64 x (+.f64 y #s(literal -1 binary64)))))
(+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))
(+.f64 x (*.f64 y (-.f64 (*.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y))) x)))
(/ x y)
(/.f64 x y)
(/ (+ x (* -1 (/ x y))) y)
(/.f64 (-.f64 x (/.f64 x y)) y)
(/ (- (+ x (/ x (pow y 2))) (/ x y)) y)
(/.f64 (+.f64 x (/.f64 (-.f64 (/.f64 x y) x) y)) y)
(/ (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) y)
(/.f64 (+.f64 x (/.f64 (-.f64 (/.f64 (-.f64 x (/.f64 x y)) y) x) y)) y)
(/ x y)
(/.f64 x y)
(* -1 (/ (+ (* -1 x) (/ x y)) y))
(/.f64 (-.f64 x (/.f64 x y)) y)
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x y) x) y))) y))
(/.f64 (+.f64 x (/.f64 (-.f64 (/.f64 x y) x) y)) y)
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x y) x) y)) x) y))) y))
(/.f64 (+.f64 x (/.f64 (-.f64 (/.f64 (-.f64 x (/.f64 x y)) y) x) y)) y)
y
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
x
(* x (+ 1 (/ y x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(* x (+ 1 (/ y x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(* x (+ 1 (/ y x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
x
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
y
(* y (+ 1 (/ x y)))
(+.f64 x y)
(* y (+ 1 (/ x y)))
(+.f64 x y)
(* y (+ 1 (/ x y)))
(+.f64 x y)
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
(- 1 (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(/ x y)
(/.f64 x y)
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) x)))
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) x)))
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) x)))
(/ x y)
(/.f64 x y)
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) x)))
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) x)))
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) x)))
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- (+ x y) 1) y)
(/.f64 (+.f64 x (+.f64 y #s(literal -1 binary64))) y)
(/ (- (+ x y) 1) y)
(/.f64 (+.f64 x (+.f64 y #s(literal -1 binary64))) y)
(/ (- (+ x y) 1) y)
(/.f64 (+.f64 x (+.f64 y #s(literal -1 binary64))) y)
1
#s(literal 1 binary64)
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
1
#s(literal 1 binary64)
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(- (/ x y) (/ 1 y))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(- (/ x y) (/ 1 y))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(- (/ x y) (/ 1 y))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ x y)
(/.f64 x y)
(* x (- (/ 1 y) (/ 1 (* x y))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 x y))))
(* x (- (/ 1 y) (/ 1 (* x y))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 x y))))
(* x (- (/ 1 y) (/ 1 (* x y))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 x y))))
(/ x y)
(/.f64 x y)
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 x y))))
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 x y))))
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 x y))))
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
-1
#s(literal -1 binary64)
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- x 1)
(+.f64 x #s(literal -1 binary64))
x
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
x
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))

eval137.0ms (1.5%)

Compiler

Compiled 20611 to 2325 computations (88.7% saved)

prune287.0ms (3.1%)

Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New115441158
Fresh123
Picked235
Done011
Total1157101167
Accuracy
100.0%
Counts
1167 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
▶52.0%
(/.f64 y (+.f64 y #s(literal 1 binary64)))
✓49.8%
(/.f64 x (+.f64 y #s(literal 1 binary64)))
▶14.0%
(/.f64 x y)
✓99.8%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 x y)))
▶49.2%
(+.f64 y x)
50.8%
(+.f64 #s(literal 1 binary64) (/.f64 x y))
▶14.6%
y
▶37.8%
x
✓39.8%
#s(literal 1 binary64)
Compiler

Compiled 90 to 61 computations (32.2% saved)

simplify16.0ms (0.2%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 x y)
✓cost-diff0
(+.f64 y x)
✓cost-diff0
(+.f64 y #s(literal 1 binary64))
✓cost-diff0
(/.f64 y (+.f64 y #s(literal 1 binary64)))
Rules
8×+-lowering-+.f64
8×+-lowering-+.f32
4×/-lowering-/.f32
4×/-lowering-/.f64
4×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0722
11122
01122
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ y (+ y 1))
y
(+ y 1)
1
x
y
(+ y x)
y
x
(/ x y)
x
y
Outputs
(/ y (+ y 1))
(/.f64 y (+.f64 y #s(literal 1 binary64)))
y
(+ y 1)
(+.f64 y #s(literal 1 binary64))
1
#s(literal 1 binary64)
x
y
(+ y x)
(+.f64 y x)
y
x
(/ x y)
(/.f64 x y)
x
y

localize42.0ms (0.5%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 x y)
✓accuracy100.0%
(+.f64 y x)
✓accuracy100.0%
(+.f64 y #s(literal 1 binary64))
✓accuracy100.0%
(/.f64 y (+.f64 y #s(literal 1 binary64)))
Results
22.0ms256×0valid
Compiler

Compiled 25 to 8 computations (68% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 4.0ms (55.5% of total)
ival-add: 3.0ms (41.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series6.0ms (0.1%)

Counts
4 → 72
Calls
Call 1
Inputs
#<alt (/ y (+ y 1))>
#<alt (+ y 1)>
#<alt (+ y x)>
#<alt (/ x y)>
Outputs
#<alt y>
#<alt (* y (+ 1 (* -1 y)))>
#<alt (* y (+ 1 (* y (- y 1))))>
#<alt (* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1))))>
#<alt 1>
#<alt (- 1 (/ 1 y))>
#<alt (- (+ 1 (/ 1 (pow y 2))) (/ 1 y))>
#<alt (- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))>
#<alt 1>
#<alt (- 1 (/ 1 y))>
#<alt (+ 1 (* -1 (/ (- 1 (/ 1 y)) y)))>
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y)))>
#<alt 1>
#<alt (+ 1 y)>
#<alt (+ 1 y)>
#<alt (+ 1 y)>
#<alt y>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt y>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<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)>
Calls

18 calls:

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

rewrite585.0ms (6.3%)

Algorithm
1×batch-egg-rewrite
Rules
4492×*-lowering-*.f32
4492×*-lowering-*.f64
4192×/-lowering-/.f32
4192×/-lowering-/.f64
3004×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0714
14714
231014
3289514
0839114
Stop Event
1×iter limit
1×node limit
Counts
4 → 379
Calls
Call 1
Inputs
(/ y (+ y 1))
(+ y 1)
(+ y x)
(/ x y)
Outputs
(+.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (*.f64 y y)) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (-.f64 #s(literal 1 binary64) y)))
(+.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (-.f64 #s(literal 1 binary64) y)) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (*.f64 y y)))
(+.f64 (*.f64 (/.f64 y (+.f64 (*.f64 y y) #s(literal -1 binary64))) y) (*.f64 (/.f64 y (+.f64 (*.f64 y y) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 y y) (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 y y) (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))))
(+.f64 (*.f64 y (/.f64 y (+.f64 (*.f64 y y) #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 y (+.f64 (*.f64 y y) #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) y)) #s(literal -1 binary64)))
(exp.f64 (-.f64 (*.f64 (log1p.f64 y) #s(literal -1 binary64)) (*.f64 (log.f64 y) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 y (-.f64 #s(literal -1 binary64) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 y #s(literal 1 binary64))) (/.f64 y (-.f64 #s(literal -1 binary64) y)))
(fma.f64 y (/.f64 y (+.f64 (*.f64 y y) #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 y (+.f64 (*.f64 y y) #s(literal -1 binary64)))))
(fma.f64 (*.f64 y y) (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y y) (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))))
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (*.f64 y y) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (-.f64 #s(literal 1 binary64) y)))
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (-.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (*.f64 y y)))
(fma.f64 (/.f64 y (+.f64 (*.f64 y y) #s(literal -1 binary64))) y (*.f64 (/.f64 y (+.f64 (*.f64 y y) #s(literal -1 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)))
(/.f64 y (+.f64 y #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) y))
(/.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) y) y))
(/.f64 (*.f64 y (+.f64 y #s(literal -1 binary64))) (+.f64 (*.f64 y y) #s(literal -1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) y))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal -1 binary64) y))
(/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64))))))
(/.f64 (/.f64 y (+.f64 (*.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))
(/.f64 (*.f64 y (+.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (+.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y y))))))
(/.f64 (*.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64)))) (+.f64 (+.f64 (*.f64 y y) #s(literal -1 binary64)) y))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (+.f64 (+.f64 (*.f64 y y) #s(literal -1 binary64)) y)))
(/.f64 (*.f64 y (+.f64 (*.f64 y y) #s(literal -1 binary64))) (*.f64 (+.f64 (*.f64 y y) #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64))))
(/.f64 (*.f64 y (+.f64 (*.f64 y (*.f64 y y)) #s(literal -1 binary64))) (*.f64 (+.f64 (*.f64 y y) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal 1 binary64))))))
(/.f64 (neg.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64)))))) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 y (*.f64 y y)))))
(/.f64 (neg.f64 (*.f64 y (+.f64 y #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y y) #s(literal -1 binary64))))
(/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (+.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (+.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y y)))))
(/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64)))) (+.f64 (+.f64 (*.f64 y y) #s(literal -1 binary64)) y))) (+.f64 (+.f64 (*.f64 y y) #s(literal -1 binary64)) y))
(/.f64 (*.f64 (/.f64 y (+.f64 (*.f64 y y) #s(literal -1 binary64))) (+.f64 (*.f64 y y) #s(literal -1 binary64))) (+.f64 y #s(literal 1 binary64)))
(/.f64 (*.f64 (/.f64 y (+.f64 (*.f64 y y) #s(literal -1 binary64))) (+.f64 (*.f64 y (*.f64 y y)) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) y)) (*.f64 (-.f64 #s(literal -1 binary64) y) y)) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal -1 binary64) y) y)) (*.f64 (-.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 #s(literal -1 binary64) y) y)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) y))) (*.f64 (-.f64 #s(literal -1 binary64) y) (+.f64 y #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal -1 binary64) y) (/.f64 y #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) y) (+.f64 y #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64)))))) (*.f64 (-.f64 #s(literal -1 binary64) y) (/.f64 y (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 y (*.f64 y y))))))) (*.f64 (-.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64)))))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) y) (/.f64 y (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y y) #s(literal -1 binary64)))))) (*.f64 (-.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))))
(/.f64 (neg.f64 (/.f64 y (+.f64 (*.f64 y y) #s(literal -1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))))
(/.f64 (neg.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (*.f64 y (+.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (+.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y y)))))))
(/.f64 (neg.f64 (*.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64)))) (+.f64 (+.f64 (*.f64 y y) #s(literal -1 binary64)) y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (+.f64 (+.f64 (*.f64 y y) #s(literal -1 binary64)) y))))
(/.f64 (neg.f64 (*.f64 y (+.f64 (*.f64 y y) #s(literal -1 binary64)))) (neg.f64 (*.f64 (+.f64 (*.f64 y y) #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 y (+.f64 (*.f64 y (*.f64 y y)) #s(literal -1 binary64)))) (neg.f64 (*.f64 (+.f64 (*.f64 y y) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (+.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))))) (neg.f64 (+.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y y))))))
(/.f64 (neg.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64)))) (+.f64 (+.f64 (*.f64 y y) #s(literal -1 binary64)) y)))) (neg.f64 (+.f64 (+.f64 (*.f64 y y) #s(literal -1 binary64)) y)))
(/.f64 (neg.f64 (*.f64 (/.f64 y (+.f64 (*.f64 y y) #s(literal -1 binary64))) (+.f64 (*.f64 y y) #s(literal -1 binary64)))) (-.f64 #s(literal -1 binary64) y))
(/.f64 (neg.f64 (*.f64 (/.f64 y (+.f64 (*.f64 y y) #s(literal -1 binary64))) (+.f64 (*.f64 y (*.f64 y y)) #s(literal -1 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal 1 binary64))))))
(pow.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) y) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) y) (/.f64 (+.f64 y #s(literal 1 binary64)) y)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) y))) #s(literal -1 binary64))
(*.f64 y (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64)))) (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))
(*.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 y (+.f64 (*.f64 y y) #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 y (-.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) y)
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (pow.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 y (+.f64 y #s(literal -1 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 0 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64)))))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64)))))))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 y (+.f64 (*.f64 y y) #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 y (+.f64 (*.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))))
(*.f64 (/.f64 y (+.f64 (*.f64 y y) #s(literal -1 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64))))) y) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64)))))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) #s(literal -1 binary64))) (*.f64 y (+.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) #s(literal -1 binary64))) (/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) #s(literal -1 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) y) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (/.f64 y (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 y (*.f64 y y))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64))))))
(*.f64 (/.f64 y (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y y) #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal 1 binary64) y))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)))
(+.f64 y #s(literal 1 binary64))
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(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) y)))
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simplify675.0ms (7.3%)

Algorithm
1×egg-herbie
Rules
8808×accelerator-lowering-fma.f32
8808×accelerator-lowering-fma.f64
3510×*-lowering-*.f32
3510×*-lowering-*.f64
1258×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051260
1146258
2305250
3850244
42803242
54875242
66373242
77127242
08041241
Stop Event
1×iter limit
1×node limit
Counts
72 → 72
Calls
Call 1
Inputs
y
(* y (+ 1 (* -1 y)))
(* y (+ 1 (* y (- y 1))))
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1))))
1
(- 1 (/ 1 y))
(- (+ 1 (/ 1 (pow y 2))) (/ 1 y))
(- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))
1
(- 1 (/ 1 y))
(+ 1 (* -1 (/ (- 1 (/ 1 y)) y)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y)))
1
(+ 1 y)
(+ 1 y)
(+ 1 y)
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
x
(+ x y)
(+ x y)
(+ x y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
y
(+ x y)
(+ x y)
(+ x y)
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(/ 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)
Outputs
y
(* y (+ 1 (* -1 y)))
(*.f64 y (-.f64 #s(literal 1 binary64) y))
(* y (+ 1 (* y (- y 1))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64)))))
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1))))
(*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y y))))
1
#s(literal 1 binary64)
(- 1 (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
(- (+ 1 (/ 1 (pow y 2))) (/ 1 y))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y))
(- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) y))
1
#s(literal 1 binary64)
(- 1 (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
(+ 1 (* -1 (/ (- 1 (/ 1 y)) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) y))
1
#s(literal 1 binary64)
(+ 1 y)
(+.f64 y #s(literal 1 binary64))
(+ 1 y)
(+.f64 y #s(literal 1 binary64))
(+ 1 y)
(+.f64 y #s(literal 1 binary64))
y
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
y
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
x
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
y
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* y (+ 1 (/ x y)))
(+.f64 y x)
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
y
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
x
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* x (+ 1 (/ y x)))
(+.f64 y x)
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(/ 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)

eval65.0ms (0.7%)

Compiler

Compiled 8438 to 1082 computations (87.2% saved)

prune119.0ms (1.3%)

Pruning

10 alts after pruning (1 fresh and 9 done)

PrunedKeptTotal
New4510451
Fresh011
Picked055
Done044
Total45110461
Accuracy
100.0%
Counts
461 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
✓52.0%
(/.f64 y (+.f64 y #s(literal 1 binary64)))
✓49.8%
(/.f64 x (+.f64 y #s(literal 1 binary64)))
✓14.0%
(/.f64 x y)
✓99.8%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 x y)))
✓49.2%
(+.f64 y x)
▶50.8%
(+.f64 #s(literal 1 binary64) (/.f64 x y))
✓14.6%
y
✓37.8%
x
✓39.8%
#s(literal 1 binary64)
Compiler

Compiled 60 to 41 computations (31.7% saved)

simplify38.0ms (0.4%)

Algorithm
1×egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 x y)
✓cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 x y))
Rules
4×+-lowering-+.f64
4×+-lowering-+.f32
2×/-lowering-/.f32
2×/-lowering-/.f64
2×1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0511
1811
0811
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ 1 (/ x y))
1
(/ x y)
x
y
Outputs
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
1
#s(literal 1 binary64)
(/ x y)
(/.f64 x y)
x
y

localize27.0ms (0.3%)

Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 x y)
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (/.f64 x y))
Results
20.0ms256×0valid
Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 2.0ms (47% of total)
ival-add: 2.0ms (47% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series3.0ms (0%)

Counts
2 → 48
Calls
Call 1
Inputs
#<alt (+ 1 (/ x y))>
#<alt (/ x y)>
Outputs
#<alt 1>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt (/ x y)>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (/ x y)>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (/ x y)>
#<alt (/ (+ x y) y)>
#<alt (/ (+ x y) y)>
#<alt (/ (+ x y) y)>
#<alt 1>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt 1>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ 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 y)>
Calls

12 calls:

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

rewrite856.0ms (9.2%)

Algorithm
1×batch-egg-rewrite
Rules
3454×accelerator-lowering-fma.f32
3454×accelerator-lowering-fma.f64
3082×/-lowering-/.f32
3082×/-lowering-/.f64
2528×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058
1288
22148
342958
088238
Stop Event
1×iter limit
1×node limit
Counts
2 → 191
Calls
Call 1
Inputs
(+ 1 (/ x y))
(/ x y)
Outputs
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) x) y))
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x y))) (neg.f64 (/.f64 (/.f64 (/.f64 x (/.f64 y x)) y) (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
(+.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) y) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x y)))) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) x) y))
(-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x y))) (/.f64 (/.f64 (/.f64 x (/.f64 y x)) y) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 y x)))) (/.f64 (/.f64 x (*.f64 (/.f64 y (/.f64 x (/.f64 y x))) y)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 y x)))))
(-.f64 (/.f64 (/.f64 (/.f64 x (/.f64 y x)) y) (+.f64 (/.f64 x y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 x y) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x y))) (neg.f64 (/.f64 (/.f64 (/.f64 x (/.f64 y x)) y) (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) x) y) #s(literal 1 binary64))
(fma.f64 x (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(fma.f64 x (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))
(fma.f64 (/.f64 x y) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 x y) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) y) x #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 (log.f64 x)) #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 y x)) y))) (neg.f64 (/.f64 (/.f64 (/.f64 x (/.f64 y x)) y) (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
(fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) x) y) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) y) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 y x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (/.f64 y (/.f64 x (/.f64 y x))) y)))) (neg.f64 (/.f64 (/.f64 (/.f64 x (/.f64 y x)) y) (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
(fma.f64 (/.f64 #s(literal -1 binary64) y) x #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) y) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (/.f64 y (/.f64 x (/.f64 y x))) y)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 y x))) (neg.f64 (/.f64 (/.f64 (/.f64 x (/.f64 y x)) y) (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (/.f64 y (/.f64 x (/.f64 y x))) y)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 y x)))) #s(literal -1 binary64)) (neg.f64 (/.f64 (/.f64 (/.f64 x (/.f64 y x)) y) (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 y x)) y))) (+.f64 #s(literal 1 binary64) (/.f64 x y)) (neg.f64 (/.f64 (/.f64 (/.f64 x (/.f64 y x)) y) (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 y x))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (*.f64 (/.f64 y (/.f64 x (/.f64 y x))) y)) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (/.f64 x (*.f64 (/.f64 y (/.f64 x (/.f64 y x))) y)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 x (*.f64 (/.f64 y (/.f64 x (/.f64 y x))) y)) #s(literal 1 binary64)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))))) (neg.f64 (/.f64 (/.f64 (/.f64 x (/.f64 y x)) y) (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 y x))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (*.f64 (/.f64 y (/.f64 x (/.f64 y x))) y)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (/.f64 y (/.f64 x (/.f64 y x))) y))) (neg.f64 (/.f64 (/.f64 (/.f64 x (/.f64 y x)) y) (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (*.f64 (/.f64 y (/.f64 x (/.f64 y x))) y)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 x (/.f64 y x)) y) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 y x)) y)))) (neg.f64 (/.f64 (/.f64 (/.f64 x (/.f64 y x)) y) (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (*.f64 (/.f64 y (/.f64 x (/.f64 y x))) y)) (/.f64 y x)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 y x)) y)) (neg.f64 (/.f64 (/.f64 (/.f64 x (/.f64 y x)) y) (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 y x)) y)) (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (/.f64 y (/.f64 x (/.f64 y x))) y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 y x)))) (neg.f64 (/.f64 (/.f64 (/.f64 x (/.f64 y x)) y) (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
(fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 y x)) y)) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 y x)) y))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x y))) (neg.f64 (/.f64 (/.f64 (/.f64 x (/.f64 y x)) y) (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
(fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 y x)) y)) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x y)) (neg.f64 (/.f64 (/.f64 (/.f64 x (/.f64 y x)) y) (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
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(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (/.f64 y (/.f64 x (/.f64 y x))) y))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 y x)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 y x)) y)) #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 x y)))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (*.f64 (/.f64 y (/.f64 x (/.f64 y x))) y)) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (/.f64 x (*.f64 (/.f64 y (/.f64 x (/.f64 y x))) y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 y x)))))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 x (*.f64 (/.f64 y (/.f64 x (/.f64 y x))) y)) #s(literal 1 binary64)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (*.f64 (/.f64 y (/.f64 x (/.f64 y x))) y)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 y x)))))) (+.f64 (/.f64 x (*.f64 (/.f64 y (/.f64 x (/.f64 y x))) y)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (*.f64 (/.f64 y (/.f64 x (/.f64 y x))) y)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x y))))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 x (/.f64 y x)) y) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 y x)) y))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (*.f64 (/.f64 y (/.f64 x (/.f64 y x))) y)) (/.f64 y x))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x y))))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 y x)) y))))
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 y x)) y)) (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (/.f64 y (/.f64 x (/.f64 y x))) y))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 y x))))))
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 y x)) y)) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 y x)) y)))) (neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x y)))))
(pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x y))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x y))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) (+.f64 (/.f64 (/.f64 x (/.f64 y x)) y) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 y x)) y)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 x (/.f64 y x)) y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x y))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 y x)) y)))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x y))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 y x)) y))) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (/.f64 y (/.f64 x (/.f64 y x))) y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 y x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 y x)))) (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (/.f64 y (/.f64 x (/.f64 y x))) y))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 y x)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (/.f64 y (/.f64 x (/.f64 y x))) y)))) #s(literal -1 binary64)))
(*.f64 (+.f64 (/.f64 (/.f64 x (/.f64 y x)) y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal -1 binary64))))
(*.f64 (+.f64 (/.f64 x (*.f64 (/.f64 y (/.f64 x (/.f64 y x))) y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 y x))))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 y x)) y)) (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (/.f64 y (/.f64 x (/.f64 y x))) y)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 y x))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 y x)) y)) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 y x)) y))) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 y x)) y)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 y x)) y)) (+.f64 (/.f64 x (*.f64 (/.f64 y (/.f64 x (/.f64 y x))) y)) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 y x)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 y x)) y)) (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 x (/.f64 y x)) y))) (+.f64 #s(literal -1 binary64) (/.f64 x y)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 y x)) y)) (+.f64 (/.f64 (/.f64 x (/.f64 y x)) y) #s(literal -1 binary64))) (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (/.f64 y (/.f64 x (/.f64 y x))) y))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 y x)) (/.f64 (+.f64 (/.f64 (/.f64 x (/.f64 y x)) y) #s(literal -1 binary64)) (/.f64 y (/.f64 x (/.f64 y x))))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 y x)) (-.f64 (/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 y x)) #s(literal 1 binary64)))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (/.f64 y (/.f64 x (/.f64 y x))) y))) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (/.f64 x (/.f64 y x)) y) #s(literal -1 binary64)) (/.f64 y (/.f64 x (/.f64 y x)))))) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 y x))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 y x))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (*.f64 (/.f64 y (/.f64 x (/.f64 y x))) y)) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (/.f64 x (*.f64 (/.f64 y (/.f64 x (/.f64 y x))) y)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 x (*.f64 (/.f64 y (/.f64 x (/.f64 y x))) y)) #s(literal 1 binary64)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 y x))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (*.f64 (/.f64 y (/.f64 x (/.f64 y x))) y)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (/.f64 y (/.f64 x (/.f64 y x))) y)))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (*.f64 (/.f64 y (/.f64 x (/.f64 y x))) y)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 x (/.f64 y x)) y) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 y x)) y))))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (*.f64 (/.f64 y (/.f64 x (/.f64 y x))) y)) (/.f64 y x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 y x)) y))))
(exp.f64 (log.f64 (/.f64 x y)))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 0 binary64) x) y))
(-.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 (-.f64 #s(literal 0 binary64) x) y))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) y))
(/.f64 #s(literal 1 binary64) (/.f64 y x))
(/.f64 x y)
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y x)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) y))
(/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 x #s(literal 1 binary64)) y)
(/.f64 (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))) (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) y))))
(/.f64 (exp.f64 (log.f64 x)) y)
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) (/.f64 y x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) y))
(/.f64 (neg.f64 (/.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) y))
(pow.f64 (/.f64 x y) #s(literal 1 binary64))
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(pow.f64 (/.f64 y (/.f64 x (/.f64 y x))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 y x)))
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 (log.f64 x)))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) x) y))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) y) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) y))
(*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))) (exp.f64 (log.f64 (/.f64 #s(literal -1 binary64) y))))
(*.f64 (exp.f64 (log.f64 x)) (/.f64 #s(literal 1 binary64) y))

simplify9.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
32×*-lowering-*.f32
32×*-lowering-*.f64
20×accelerator-lowering-fma.f32
20×accelerator-lowering-fma.f64
12×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011174
123174
233174
336174
451174
557174
657174
057174
Stop Event
1×iter limit
1×saturated
Counts
48 → 48
Calls
Call 1
Inputs
1
(+ 1 (/ x y))
(+ 1 (/ x y))
(+ 1 (/ x y))
(/ x y)
(* x (+ (/ 1 x) (/ 1 y)))
(* x (+ (/ 1 x) (/ 1 y)))
(* x (+ (/ 1 x) (/ 1 y)))
(/ x y)
(* x (+ (/ 1 x) (/ 1 y)))
(* x (+ (/ 1 x) (/ 1 y)))
(* x (+ (/ 1 x) (/ 1 y)))
(/ x y)
(/ (+ x y) y)
(/ (+ x y) y)
(/ (+ x y) y)
1
(+ 1 (/ x y))
(+ 1 (/ x y))
(+ 1 (/ x y))
1
(+ 1 (/ x y))
(+ 1 (/ x y))
(+ 1 (/ 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 y)
Outputs
1
#s(literal 1 binary64)
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(/ x y)
(/.f64 x y)
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(/ x y)
(/.f64 x y)
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(/ x y)
(/.f64 x y)
(/ (+ x y) y)
(/.f64 (+.f64 x y) y)
(/ (+ x y) y)
(/.f64 (+.f64 x y) y)
(/ (+ x y) y)
(/.f64 (+.f64 x y) y)
1
#s(literal 1 binary64)
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
1
#s(literal 1 binary64)
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.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 y)
(/.f64 x y)

eval247.0ms (2.7%)

Compiler

Compiled 5006 to 454 computations (90.9% saved)

prune46.0ms (0.5%)

Pruning

10 alts after pruning (0 fresh and 10 done)

PrunedKeptTotal
New2390239
Fresh000
Picked011
Done099
Total23910249
Accuracy
100.0%
Counts
249 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
✓52.0%
(/.f64 y (+.f64 y #s(literal 1 binary64)))
✓49.8%
(/.f64 x (+.f64 y #s(literal 1 binary64)))
✓14.0%
(/.f64 x y)
✓99.8%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 x y)))
✓49.2%
(+.f64 y x)
✓50.8%
(+.f64 #s(literal 1 binary64) (/.f64 x y))
✓14.6%
y
✓37.8%
x
✓39.8%
#s(literal 1 binary64)
Compiler

Compiled 119 to 60 computations (49.6% saved)

regimes15.0ms (0.2%)

Counts
13 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
y
(+.f64 y x)
(/.f64 x y)
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
(/.f64 y (+.f64 y #s(literal 1 binary64)))
(/.f64 (+.f64 x y) #s(literal 1 binary64))
(/.f64 (+.f64 x y) y)
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 x y)))
Outputs
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
Calls

3 calls:

6.0ms
x
4.0ms
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
4.0ms
y
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts
11 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
y
(+.f64 y x)
(/.f64 x y)
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
(/.f64 y (+.f64 y #s(literal 1 binary64)))
(/.f64 (+.f64 x y) #s(literal 1 binary64))
(/.f64 (+.f64 x y) y)
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
Outputs
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(+.f64 y x)
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
Calls

2 calls:

4.0ms
x
4.0ms
y
Results
AccuracySegmentsBranch
82.3%3x
96.9%3y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Counts
10 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
y
(+.f64 y x)
(/.f64 x y)
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
(/.f64 y (+.f64 y #s(literal 1 binary64)))
(/.f64 (+.f64 x y) #s(literal 1 binary64))
(/.f64 (+.f64 x y) y)
Outputs
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+.f64 y x)
(+.f64 #s(literal 1 binary64) (/.f64 x y))
Calls

1 calls:

4.0ms
y
Results
AccuracySegmentsBranch
96.7%3y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts
5 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
y
(+.f64 y x)
(/.f64 x y)
Outputs
#s(literal 1 binary64)
(+.f64 y x)
#s(literal 1 binary64)
Calls

1 calls:

7.0ms
y
Results
AccuracySegmentsBranch
85.5%3y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

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

2 calls:

2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
57.7%3x
73.7%3y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

1.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
39.8%1x
39.8%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch19.0ms (0.2%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
9.0ms
0.06280390816524721
1.089809812496876
9.0ms
-3.1066952103935455
-0.20378954903096916
Results
10.0ms208×0valid
Compiler

Compiled 222 to 166 computations (25.2% saved)

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

bsearch20.0ms (0.2%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
10.0ms
0.06280390816524721
1.089809812496876
9.0ms
-3.1066952103935455
-0.20378954903096916
Results
12.0ms208×0valid
Compiler

Compiled 196 to 140 computations (28.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-add: 2.0ms (49.9% of total)
ival-div: 1.0ms (25% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch22.0ms (0.2%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
13.0ms
513201995.85382545
8654219155295.609
7.0ms
-3.1066952103935455
-0.20378954903096916
Results
14.0ms224×0valid
Compiler

Compiled 154 to 122 computations (20.8% saved)

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

bsearch22.0ms (0.2%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
10.0ms
513201995.85382545
8654219155295.609
10.0ms
-3.1066952103935455
-0.20378954903096916
Results
11.0ms224×0valid
Compiler

Compiled 126 to 108 computations (14.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 2.0ms (45.3% of total)
ival-add: 2.0ms (45.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify10.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
10×+-commutative_binary64
8×if-if-or-not_binary32
2×1-exp_binary64
2×1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02768
14568
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
(if (<=.f64 y #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) (if (<=.f64 y #s(literal 2386907802506363/2251799813685248 binary64)) (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))))
(if (<=.f64 y #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x y)) (if (<=.f64 y #s(literal 1 binary64)) (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(if (<=.f64 y #s(literal -1 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal 520000000 binary64)) (+.f64 y x) #s(literal 1 binary64)))
(if (<=.f64 y #s(literal -1 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal 520000000 binary64)) x #s(literal 1 binary64)))
#s(literal 1 binary64)
Outputs
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
(if (<=.f64 y #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) (if (<=.f64 y #s(literal 2386907802506363/2251799813685248 binary64)) (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))))
(if (or (<=.f64 y #s(literal -1 binary64)) (not (<=.f64 y #s(literal 2386907802506363/2251799813685248 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) (+.f64 x y))
(if (<=.f64 y #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x y)) (if (<=.f64 y #s(literal 1 binary64)) (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(if (or (<=.f64 y #s(literal -1 binary64)) (not (<=.f64 y #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 x y))
(if (<=.f64 y #s(literal -1 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal 520000000 binary64)) (+.f64 y x) #s(literal 1 binary64)))
(if (<=.f64 y #s(literal -1 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal 520000000 binary64)) (+.f64 x y) #s(literal 1 binary64)))
(if (<=.f64 y #s(literal -1 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal 520000000 binary64)) x #s(literal 1 binary64)))
#s(literal 1 binary64)

soundness1.9s (21%)

Rules
24286×accelerator-lowering-fma.f32
24286×accelerator-lowering-fma.f64
12130×accelerator-lowering-fma.f32
12130×accelerator-lowering-fma.f64
4836×*-lowering-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01345
19443
276343
0862743
02731512
18431450
223341367
082371318
088362
1263358
2670338
32440308
08253300
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 143 to 82 computations (42.7% saved)

preprocess34.0ms (0.4%)

Compiler

Compiled 158 to 68 computations (57% saved)

end0.0ms (0%)

Profiling

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