fabs fraction 1

Time bar (total: 10.5s)

analyze73.0ms (0.7%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%49.9%49.9%0.1%0%0%0%3
50%49.9%49.9%0.1%0%0%0%4
50%49.9%49.9%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
75%74.9%25%0.1%0%0%0%7
75%74.9%25%0.1%0%0%0%8
87.5%87.4%12.5%0.1%0%0%0%9
87.5%87.4%12.5%0.1%0%0%0%10
87.5%87.4%12.5%0.1%0%0%0%11
93.8%93.6%6.2%0.1%0%0%0%12
Compiler

Compiled 16 to 11 computations (31.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-add: 27.0ms (63.1% of total)
ival-div: 4.0ms (9.4% of total)
ival-mult: 4.0ms (9.4% of total)
ival-fabs: 4.0ms (9.4% of total)
ival-sub: 3.0ms (7% of total)
const: 1.0ms (2.3% of total)
backward-pass: 0.0ms (0% of total)

sample1.2s (11.3%)

Results
915.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 402.0ms
ival-div: 129.0ms (32.1% of total)
ival-mult: 85.0ms (21.2% of total)
ival-add: 61.0ms (15.2% of total)
ival-sub: 57.0ms (14.2% of total)
ival-fabs: 55.0ms (13.7% of total)
const: 11.0ms (2.7% of total)
backward-pass: 3.0ms (0.7% of total)
Bogosity

preprocess194.0ms (1.9%)

Algorithm
egg-herbie
Rules
2684×fnmadd-define
2010×fmm-def
1846×sum3-define
1778×fnmadd-define
1604×sum5-define
Iterations

Useful iterations: 8 (0.0ms)

IterNodesCost
047131
1140115
2315113
3968113
43214113
56722111
01012
12111
25011
39511
417011
536711
677111
7155711
8506810
0822210
Stop Event
iter limit
node limit
node limit
Calls
Call 1
Inputs
(fabs (- (/ (+ x 4) y) (* (/ x y) z)))
Outputs
(fabs (- (/ (+ x 4) y) (* (/ x y) z)))
(fabs.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (/.f64 x y) (-.f64 #s(literal 1 binary64) z))))
Call 2
Inputs
(fabs (- (/ (+ x 4) y) (* (/ x y) z)))
(fabs (- (/ (+ (neg x) 4) y) (* (/ (neg x) y) z)))
(fabs (- (/ (+ x 4) (neg y)) (* (/ x (neg y)) z)))
(fabs (- (/ (+ x 4) y) (* (/ x y) (neg z))))
(neg (fabs (- (/ (+ (neg x) 4) y) (* (/ (neg x) y) z))))
(neg (fabs (- (/ (+ x 4) (neg y)) (* (/ x (neg y)) z))))
(neg (fabs (- (/ (+ x 4) y) (* (/ x y) (neg z)))))
(fabs (- (/ (+ y 4) x) (* (/ y x) z)))
(fabs (- (/ (+ z 4) y) (* (/ z y) x)))
(fabs (- (/ (+ x 4) z) (* (/ x z) y)))
Outputs
(fabs (- (/ (+ x 4) y) (* (/ x y) z)))
(fabs (fnmsub x (/ z y) (/ (- -4 x) y)))
(fabs (- (/ (+ (neg x) 4) y) (* (/ (neg x) y) z)))
(fabs (fmsub x (/ z y) (/ (+ x -4) y)))
(fabs (- (/ (+ x 4) (neg y)) (* (/ x (neg y)) z)))
(fabs (fnmsub x (/ z y) (/ (- -4 x) y)))
(fabs (- (/ (+ x 4) y) (* (/ x y) (neg z))))
(fabs (* (recip y) (fma x z (+ x 4))))
(neg (fabs (- (/ (+ (neg x) 4) y) (* (/ (neg x) y) z))))
(neg (fabs (fmsub x (/ z y) (/ (+ x -4) y))))
(neg (fabs (- (/ (+ x 4) (neg y)) (* (/ x (neg y)) z))))
(neg (fabs (fnmsub x (/ z y) (/ (- -4 x) y))))
(neg (fabs (- (/ (+ x 4) y) (* (/ x y) (neg z)))))
(neg (fabs (* (recip y) (fma x z (+ x 4)))))
(fabs (- (/ (+ y 4) x) (* (/ y x) z)))
(fabs (fnmsub y (/ z x) (/ (- -4 y) x)))
(fabs (- (/ (+ z 4) y) (* (/ z y) x)))
(fabs (fnmsub x (/ z y) (/ (- -4 z) y)))
(fabs (- (/ (+ x 4) z) (* (/ x z) y)))
(fabs (fmsub x (/ y z) (/ (+ x 4) z)))
Symmetry

(abs y)

explain121.0ms (1.2%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
190-2(3.234673850990198e-177 1.4920487104319665e+139 1.6385610388441385e+51)(*.f64 (/.f64 x y) z)
50-0-(-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))
00-0-x
00-0-(fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)))
00-0-(/.f64 (+.f64 x #s(literal 4 binary64)) y)
00-0-y
00-0-(+.f64 x #s(literal 4 binary64))
00-0-#s(literal 4 binary64)
00-0-z
00-0-(/.f64 x y)
Results
64.0ms512×0valid
Compiler

Compiled 109 to 32 computations (70.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-fabs: 12.0ms (37% of total)
ival-div: 10.0ms (30.9% of total)
ival-mult: 4.0ms (12.3% of total)
ival-add: 3.0ms (9.3% of total)
ival-sub: 2.0ms (6.2% of total)
const: 1.0ms (3.1% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 15 to 11 computations (26.7% saved)

prune7.0ms (0.1%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
95.3%
(fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)))
98.8%
(fabs.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (/.f64 x y) (-.f64 #s(literal 1 binary64) z))))
Compiler

Compiled 30 to 21 computations (30% saved)

simplify104.0ms (1%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 x #s(literal 4 binary64))
cost-diff0
(/.f64 (+.f64 x #s(literal 4 binary64)) y)
cost-diff0
(-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))
cost-diff0
(fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)))
cost-diff0
(*.f64 (/.f64 x y) (-.f64 #s(literal 1 binary64) z))
cost-diff0
(/.f64 #s(literal 4 binary64) y)
cost-diff0
(+.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (/.f64 x y) (-.f64 #s(literal 1 binary64) z)))
cost-diff0
(fabs.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (/.f64 x y) (-.f64 #s(literal 1 binary64) z))))
Rules
2934×sum5-define
2882×sum4-define
2388×fnmadd-define
2132×sum3-define
1308×fma-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01687
13583
28183
315682
436982
5110482
6332982
7623382
0852282
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(fabs (+ (/ 4 y) (* (/ x y) (- 1 z))))
(+ (/ 4 y) (* (/ x y) (- 1 z)))
(/ 4 y)
4
y
(* (/ x y) (- 1 z))
(/ x y)
x
(- 1 z)
1
z
(fabs (- (/ (+ x 4) y) (* (/ x y) z)))
(- (/ (+ x 4) y) (* (/ x y) z))
(/ (+ x 4) y)
(+ x 4)
x
4
y
(* (/ x y) z)
(/ x y)
z
Outputs
(fabs (+ (/ 4 y) (* (/ x y) (- 1 z))))
(fabs.f64 (+.f64 (/.f64 (*.f64 x (+.f64 z #s(literal -1 binary64))) y) (/.f64 #s(literal -4 binary64) y)))
(+ (/ 4 y) (* (/ x y) (- 1 z)))
(+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y))
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
4
#s(literal 4 binary64)
y
(* (/ x y) (- 1 z))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)
(/ x y)
(/.f64 x y)
x
(- 1 z)
(-.f64 #s(literal 1 binary64) z)
1
#s(literal 1 binary64)
z
(fabs (- (/ (+ x 4) y) (* (/ x y) z)))
(fabs.f64 (+.f64 (/.f64 (*.f64 x (+.f64 z #s(literal -1 binary64))) y) (/.f64 #s(literal -4 binary64) y)))
(- (/ (+ x 4) y) (* (/ x y) z))
(+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y))
(/ (+ x 4) y)
(/.f64 (+.f64 #s(literal 4 binary64) x) y)
(+ x 4)
(+.f64 #s(literal 4 binary64) x)
x
4
#s(literal 4 binary64)
y
(* (/ x y) z)
(/.f64 (*.f64 x z) y)
(/ x y)
(/.f64 x y)
z

localize112.0ms (1.1%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)))
accuracy100.0%
(/.f64 (+.f64 x #s(literal 4 binary64)) y)
accuracy98.3%
(-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))
accuracy93.0%
(*.f64 (/.f64 x y) z)
accuracy100.0%
(-.f64 #s(literal 1 binary64) z)
accuracy100.0%
(fabs.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (/.f64 x y) (-.f64 #s(literal 1 binary64) z))))
accuracy100.0%
(+.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (/.f64 x y) (-.f64 #s(literal 1 binary64) z)))
accuracy96.8%
(*.f64 (/.f64 x y) (-.f64 #s(literal 1 binary64) z))
Results
93.0ms256×0valid
Compiler

Compiled 91 to 17 computations (81.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-div: 6.0ms (34.2% of total)
ival-mult: 4.0ms (22.8% of total)
ival-sub: 3.0ms (17.1% of total)
ival-fabs: 3.0ms (17.1% of total)
ival-add: 2.0ms (11.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series22.0ms (0.2%)

Counts
10 → 276
Calls
Call 1
Inputs
#<alt (fabs (+ (/ 4 y) (* (/ x y) (- 1 z))))>
#<alt (+ (/ 4 y) (* (/ x y) (- 1 z)))>
#<alt (/ 4 y)>
#<alt (* (/ x y) (- 1 z))>
#<alt (fabs (- (/ (+ x 4) y) (* (/ x y) z)))>
#<alt (- (/ (+ x 4) y) (* (/ x y) z))>
#<alt (/ (+ x 4) y)>
#<alt (+ x 4)>
#<alt (- 1 z)>
#<alt (* (/ x y) z)>
Outputs
#<alt (fabs (+ (* 4 (/ 1 y)) (/ (* x (- 1 z)) y)))>
#<alt (fabs (+ (* 4 (/ 1 y)) (/ (* x (- 1 z)) y)))>
#<alt (fabs (+ (* 4 (/ 1 y)) (/ (* x (- 1 z)) y)))>
#<alt (fabs (+ (* 4 (/ 1 y)) (/ (* x (- 1 z)) y)))>
#<alt (fabs (+ (* 4 (/ 1 y)) (/ (* x (- 1 z)) y)))>
#<alt (fabs (+ (* 4 (/ 1 y)) (/ (* x (- 1 z)) y)))>
#<alt (fabs (+ (* 4 (/ 1 y)) (/ (* x (- 1 z)) y)))>
#<alt (fabs (+ (* 4 (/ 1 y)) (/ (* x (- 1 z)) y)))>
#<alt (fabs (+ (* 4 (/ 1 y)) (/ (* x (- 1 z)) y)))>
#<alt (fabs (+ (* 4 (/ 1 y)) (/ (* x (- 1 z)) y)))>
#<alt (fabs (+ (* 4 (/ 1 y)) (/ (* x (- 1 z)) y)))>
#<alt (fabs (+ (* 4 (/ 1 y)) (/ (* x (- 1 z)) y)))>
#<alt (fabs (+ (* 4 (/ 1 y)) (/ (* x (- 1 z)) y)))>
#<alt (fabs (+ (* 4 (/ 1 y)) (/ (* x (- 1 z)) y)))>
#<alt (fabs (+ (* 4 (/ 1 y)) (/ (* x (- 1 z)) y)))>
#<alt (fabs (+ (* 4 (/ 1 y)) (/ (* x (- 1 z)) y)))>
#<alt (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))>
#<alt (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))>
#<alt (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))>
#<alt (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))>
#<alt (fabs (+ (* 4 (/ 1 y)) (/ (* x (- 1 z)) y)))>
#<alt (fabs (+ (* 4 (/ 1 y)) (/ (* x (- 1 z)) y)))>
#<alt (fabs (+ (* 4 (/ 1 y)) (/ (* x (- 1 z)) y)))>
#<alt (fabs (+ (* 4 (/ 1 y)) (/ (* x (- 1 z)) y)))>
#<alt (fabs (+ (* 4 (/ 1 y)) (/ (* x (- 1 z)) y)))>
#<alt (fabs (+ (* 4 (/ 1 y)) (/ (* x (- 1 z)) y)))>
#<alt (fabs (+ (* 4 (/ 1 y)) (/ (* x (- 1 z)) y)))>
#<alt (fabs (+ (* 4 (/ 1 y)) (/ (* x (- 1 z)) y)))>
#<alt (fabs (+ (* 4 (/ 1 y)) (/ (* x (- 1 z)) y)))>
#<alt (fabs (+ (* 4 (/ 1 y)) (/ (* x (- 1 z)) y)))>
#<alt (fabs (+ (* 4 (/ 1 y)) (/ (* x (- 1 z)) y)))>
#<alt (fabs (+ (* 4 (/ 1 y)) (/ (* x (- 1 z)) y)))>
#<alt (fabs (+ (* 4 (/ 1 y)) (/ (* x (+ 1 (* -1 z))) y)))>
#<alt (fabs (+ (* 4 (/ 1 y)) (/ (* x (+ 1 (* -1 z))) y)))>
#<alt (fabs (+ (* 4 (/ 1 y)) (/ (* x (+ 1 (* -1 z))) y)))>
#<alt (fabs (+ (* 4 (/ 1 y)) (/ (* x (+ 1 (* -1 z))) y)))>
#<alt (/ (+ 4 (* x (- 1 z))) y)>
#<alt (/ (+ 4 (* x (- 1 z))) y)>
#<alt (/ (+ 4 (* x (- 1 z))) y)>
#<alt (/ (+ 4 (* x (- 1 z))) y)>
#<alt (/ (+ 4 (* x (- 1 z))) y)>
#<alt (/ (+ 4 (* x (- 1 z))) y)>
#<alt (/ (+ 4 (* x (- 1 z))) y)>
#<alt (/ (+ 4 (* x (- 1 z))) y)>
#<alt (* -1 (/ (- (* -1 (* x (- 1 z))) 4) y))>
#<alt (* -1 (/ (- (* -1 (* x (- 1 z))) 4) y))>
#<alt (* -1 (/ (- (* -1 (* x (- 1 z))) 4) y))>
#<alt (* -1 (/ (- (* -1 (* x (- 1 z))) 4) y))>
#<alt (/ 4 y)>
#<alt (+ (* x (- (/ 1 y) (/ z y))) (* 4 (/ 1 y)))>
#<alt (+ (* x (- (/ 1 y) (/ z y))) (* 4 (/ 1 y)))>
#<alt (+ (* x (- (/ 1 y) (/ z y))) (* 4 (/ 1 y)))>
#<alt (* x (- (/ 1 y) (/ z y)))>
#<alt (* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y)))>
#<alt (* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y)))>
#<alt (* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y)))>
#<alt (/ (* x (- 1 z)) y)>
#<alt (* -1 (* x (- (* -1 (/ (- 1 z) y)) (* 4 (/ 1 (* x y))))))>
#<alt (* -1 (* x (- (* -1 (/ (- 1 z) y)) (* 4 (/ 1 (* x y))))))>
#<alt (* -1 (* x (- (* -1 (/ (- 1 z) y)) (* 4 (/ 1 (* x y))))))>
#<alt (+ (* 4 (/ 1 y)) (/ x y))>
#<alt (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))>
#<alt (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))>
#<alt (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* z (+ (* -1 (/ x y)) (+ (/ 4 (* y z)) (/ x (* y z)))))>
#<alt (* z (+ (* -1 (/ x y)) (+ (/ 4 (* y z)) (/ x (* y z)))))>
#<alt (* z (+ (* -1 (/ x y)) (+ (/ 4 (* y z)) (/ x (* y z)))))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (* z (+ (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (/ x y))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (/ x y))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (/ x y))))>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ (* x (- 1 z)) y)>
#<alt (/ (* x (- 1 z)) y)>
#<alt (/ (* x (- 1 z)) y)>
#<alt (/ (* x (- 1 z)) y)>
#<alt (/ (* x (- 1 z)) y)>
#<alt (/ (* x (- 1 z)) y)>
#<alt (/ (* x (- 1 z)) y)>
#<alt (/ (* x (- 1 z)) y)>
#<alt (/ (* x (- 1 z)) y)>
#<alt (/ (* x (- 1 z)) y)>
#<alt (/ (* x (- 1 z)) y)>
#<alt (/ (* x (- 1 z)) y)>
#<alt (/ (* x (- 1 z)) y)>
#<alt (/ (* x (- 1 z)) y)>
#<alt (/ (* x (- 1 z)) y)>
#<alt (/ (* x (- 1 z)) y)>
#<alt (/ (* x (- 1 z)) y)>
#<alt (/ (* x (- 1 z)) y)>
#<alt (/ (* x (- 1 z)) y)>
#<alt (/ (* x (- 1 z)) y)>
#<alt (/ (* x (- 1 z)) y)>
#<alt (/ (* x (- 1 z)) y)>
#<alt (/ (* x (- 1 z)) y)>
#<alt (/ (* x (- 1 z)) y)>
#<alt (/ x y)>
#<alt (+ (* -1 (/ (* x z) y)) (/ x y))>
#<alt (+ (* -1 (/ (* x z) y)) (/ x y))>
#<alt (+ (* -1 (/ (* x z) y)) (/ x y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* z (+ (* -1 (/ x y)) (/ x (* y z))))>
#<alt (* z (+ (* -1 (/ x y)) (/ x (* y z))))>
#<alt (* z (+ (* -1 (/ x y)) (/ x (* y z))))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (* z (+ (* -1 (/ x (* y z))) (/ x y))))>
#<alt (* -1 (* z (+ (* -1 (/ x (* y z))) (/ x y))))>
#<alt (* -1 (* z (+ (* -1 (/ x (* y z))) (/ x y))))>
#<alt (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))>
#<alt (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))>
#<alt (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))>
#<alt (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))>
#<alt (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))>
#<alt (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))>
#<alt (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))>
#<alt (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))>
#<alt (fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y))))>
#<alt (fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y))))>
#<alt (fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y))))>
#<alt (fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y))))>
#<alt (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))>
#<alt (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))>
#<alt (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))>
#<alt (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))>
#<alt (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))>
#<alt (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))>
#<alt (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))>
#<alt (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))>
#<alt (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))>
#<alt (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))>
#<alt (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))>
#<alt (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))>
#<alt (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))>
#<alt (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))>
#<alt (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))>
#<alt (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))>
#<alt (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))>
#<alt (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))>
#<alt (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))>
#<alt (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))>
#<alt (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))>
#<alt (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))>
#<alt (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))>
#<alt (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))>
#<alt (/ 4 y)>
#<alt (+ (* x (- (/ 1 y) (/ z y))) (* 4 (/ 1 y)))>
#<alt (+ (* x (- (/ 1 y) (/ z y))) (* 4 (/ 1 y)))>
#<alt (+ (* x (- (/ 1 y) (/ z y))) (* 4 (/ 1 y)))>
#<alt (* x (- (/ 1 y) (/ z y)))>
#<alt (* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y)))>
#<alt (* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y)))>
#<alt (* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y)))>
#<alt (* x (+ (* -1 (/ z y)) (/ 1 y)))>
#<alt (* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y))))))>
#<alt (* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y))))))>
#<alt (* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y))))))>
#<alt (/ (- (+ 4 x) (* x z)) y)>
#<alt (/ (- (+ 4 x) (* x z)) y)>
#<alt (/ (- (+ 4 x) (* x z)) y)>
#<alt (/ (- (+ 4 x) (* x z)) y)>
#<alt (/ (- (+ 4 x) (* x z)) y)>
#<alt (/ (- (+ 4 x) (* x z)) y)>
#<alt (/ (- (+ 4 x) (* x z)) y)>
#<alt (/ (- (+ 4 x) (* x z)) y)>
#<alt (* -1 (/ (- (* -1 (+ 4 x)) (* -1 (* x z))) y))>
#<alt (* -1 (/ (- (* -1 (+ 4 x)) (* -1 (* x z))) y))>
#<alt (* -1 (/ (- (* -1 (+ 4 x)) (* -1 (* x z))) y))>
#<alt (* -1 (/ (- (* -1 (+ 4 x)) (* -1 (* x z))) y))>
#<alt (+ (* 4 (/ 1 y)) (/ x y))>
#<alt (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))>
#<alt (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))>
#<alt (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* z (- (+ (/ 4 (* y z)) (/ x (* y z))) (/ x y)))>
#<alt (* z (- (+ (/ 4 (* y z)) (/ x (* y z))) (/ x y)))>
#<alt (* z (- (+ (/ 4 (* y z)) (/ x (* y z))) (/ x y)))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (* z (- (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (* -1 (/ x y)))))>
#<alt (* -1 (* z (- (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (* -1 (/ x y)))))>
#<alt (* -1 (* z (- (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (* -1 (/ x y)))))>
#<alt (/ 4 y)>
#<alt (+ (* 4 (/ 1 y)) (/ x y))>
#<alt (+ (* 4 (/ 1 y)) (/ x y))>
#<alt (+ (* 4 (/ 1 y)) (/ x y))>
#<alt (/ x y)>
#<alt (* x (+ (/ 1 y) (* 4 (/ 1 (* x y)))))>
#<alt (* x (+ (/ 1 y) (* 4 (/ 1 (* x y)))))>
#<alt (* x (+ (/ 1 y) (* 4 (/ 1 (* x y)))))>
#<alt (/ x y)>
#<alt (* x (+ (/ 1 y) (* 4 (/ 1 (* x y)))))>
#<alt (* x (+ (/ 1 y) (* 4 (/ 1 (* x y)))))>
#<alt (* x (+ (/ 1 y) (* 4 (/ 1 (* x y)))))>
#<alt (/ (+ 4 x) y)>
#<alt (/ (+ 4 x) y)>
#<alt (/ (+ 4 x) y)>
#<alt (/ (+ 4 x) y)>
#<alt (/ (+ 4 x) y)>
#<alt (/ (+ 4 x) y)>
#<alt (/ (+ 4 x) y)>
#<alt (/ (+ 4 x) y)>
#<alt (/ (+ 4 x) y)>
#<alt (/ (+ 4 x) y)>
#<alt (/ (+ 4 x) y)>
#<alt (/ (+ 4 x) y)>
#<alt 4>
#<alt (+ 4 x)>
#<alt (+ 4 x)>
#<alt (+ 4 x)>
#<alt x>
#<alt (* x (+ 1 (* 4 (/ 1 x))))>
#<alt (* x (+ 1 (* 4 (/ 1 x))))>
#<alt (* x (+ 1 (* 4 (/ 1 x))))>
#<alt x>
#<alt (* x (+ 1 (* 4 (/ 1 x))))>
#<alt (* x (+ 1 (* 4 (/ 1 x))))>
#<alt (* x (+ 1 (* 4 (/ 1 x))))>
#<alt 1>
#<alt (+ 1 (* -1 z))>
#<alt (+ 1 (* -1 z))>
#<alt (+ 1 (* -1 z))>
#<alt (* -1 z)>
#<alt (* z (- (/ 1 z) 1))>
#<alt (* z (- (/ 1 z) 1))>
#<alt (* z (- (/ 1 z) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (- 1 (/ 1 z))))>
#<alt (* -1 (* z (- 1 (/ 1 z))))>
#<alt (* -1 (* z (- 1 (/ 1 z))))>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
Calls

69 calls:

TimeVariablePointExpression
3.0ms
y
@0
(+ (/ 4 y) (* (/ x y) (- 1 z)))
2.0ms
x
@0
(- (/ (+ x 4) y) (* (/ x y) z))
1.0ms
x
@0
(+ (/ 4 y) (* (/ x y) (- 1 z)))
1.0ms
y
@0
(- (/ (+ x 4) y) (* (/ x y) z))
1.0ms
y
@inf
(- (/ (+ x 4) y) (* (/ x y) z))

rewrite623.0ms (6%)

Algorithm
batch-egg-rewrite
Rules
4862×*-lowering-*.f32
4862×*-lowering-*.f64
4492×/-lowering-/.f32
4492×/-lowering-/.f64
2538×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01672
110866
2110065
0917865
Stop Event
iter limit
node limit
Counts
10 → 678
Calls
Call 1
Inputs
(fabs (+ (/ 4 y) (* (/ x y) (- 1 z))))
(+ (/ 4 y) (* (/ x y) (- 1 z)))
(/ 4 y)
(* (/ x y) (- 1 z))
(fabs (- (/ (+ x 4) y) (* (/ x y) z)))
(- (/ (+ x 4) y) (* (/ x y) z))
(/ (+ x 4) y)
(+ x 4)
(- 1 z)
(* (/ x y) z)
Outputs
(fabs.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)))
(fabs.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y))))
(fabs.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)))))
(fabs.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y))))))
(fabs.f64 (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 x (-.f64 #s(literal 1 binary64) z))) (*.f64 y y)) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) z))) y)) (/.f64 (/.f64 #s(literal 16 binary64) (*.f64 y y)) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) z))) y))))
(fabs.f64 (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (+.f64 (/.f64 #s(literal 16 binary64) (*.f64 y y)) (*.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y) (/.f64 (-.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) #s(literal 4 binary64)) y))) (+.f64 (/.f64 #s(literal 64 binary64) (*.f64 y (*.f64 y y))) (*.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y) (/.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 x (-.f64 #s(literal 1 binary64) z))) (*.f64 y y)))))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) z))) y) (/.f64 (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 x (-.f64 #s(literal 1 binary64) z)))) (*.f64 y y)))))
(/.f64 (fabs.f64 (+.f64 (/.f64 #s(literal 64 binary64) (*.f64 y (*.f64 y y))) (*.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y) (/.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 x (-.f64 #s(literal 1 binary64) z))) (*.f64 y y))))) (fabs.f64 (+.f64 (/.f64 #s(literal 16 binary64) (*.f64 y y)) (*.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y) (/.f64 (-.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) #s(literal 4 binary64)) y)))))
(/.f64 (fabs.f64 (+.f64 (/.f64 #s(literal 64 binary64) (*.f64 y (*.f64 y y))) (*.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y) (/.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 x (-.f64 #s(literal 1 binary64) z))) (*.f64 y y))))) (fabs.f64 (+.f64 (/.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 x (-.f64 #s(literal 1 binary64) z))) (*.f64 y y)) (/.f64 (-.f64 #s(literal 16 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) z)))) (*.f64 y y)))))
(/.f64 (fabs.f64 (/.f64 (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 x (-.f64 #s(literal 1 binary64) z)))) (*.f64 y y))) (fabs.f64 (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) z))) y)))
(/.f64 (fabs.f64 (+.f64 (*.f64 #s(literal 4 binary64) y) (*.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) z))))) (fabs.f64 (*.f64 y y)))
(/.f64 (fabs.f64 (+.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) z))))) (fabs.f64 (*.f64 (/.f64 y #s(literal 4 binary64)) y)))
(/.f64 (fabs.f64 (+.f64 (*.f64 #s(literal -4 binary64) y) (*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 x (-.f64 #s(literal 1 binary64) z))))) (fabs.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) y)))
(/.f64 (fabs.f64 (+.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y) (*.f64 y #s(literal 4 binary64)))) (fabs.f64 (*.f64 y y)))
(/.f64 (fabs.f64 (+.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (/.f64 y #s(literal 4 binary64))) (*.f64 y #s(literal 1 binary64)))) (fabs.f64 (*.f64 y (/.f64 y #s(literal 4 binary64)))))
(/.f64 (fabs.f64 (+.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (-.f64 #s(literal 0 binary64) y)) (*.f64 y #s(literal -4 binary64)))) (fabs.f64 (*.f64 y (-.f64 #s(literal 0 binary64) y))))
(*.f64 #s(literal 1 binary64) (fabs.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y))))
(*.f64 (fabs.f64 (+.f64 (/.f64 #s(literal 64 binary64) (*.f64 y (*.f64 y y))) (*.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y) (/.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 x (-.f64 #s(literal 1 binary64) z))) (*.f64 y y))))) (fabs.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 16 binary64) (*.f64 y y)) (*.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y) (/.f64 (-.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) #s(literal 4 binary64)) y))))))
(*.f64 (fabs.f64 (/.f64 (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 x (-.f64 #s(literal 1 binary64) z)))) (*.f64 y y))) (fabs.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) z))) y))))
(+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y))
(+.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y) (/.f64 #s(literal 4 binary64) y))
(-.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y) (/.f64 #s(literal -4 binary64) y))
(-.f64 (/.f64 (/.f64 #s(literal 16 binary64) (*.f64 y y)) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) z))) y)) (/.f64 (/.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 x (-.f64 #s(literal 1 binary64) z))) (*.f64 y y)) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) z))) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y))
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 4 binary64) y))
(fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y) (/.f64 #s(literal 4 binary64) y))
(fma.f64 (/.f64 x y) (-.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 4 binary64) y))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) y) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y))
(fma.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y) (/.f64 #s(literal 4 binary64) y))
(fma.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y))
(fma.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 4 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y))
(fma.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 4 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16 binary64) (*.f64 y y)) (*.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y) (/.f64 (-.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) #s(literal 4 binary64)) y))) (+.f64 (/.f64 #s(literal 64 binary64) (*.f64 y (*.f64 y y))) (*.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y) (/.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 x (-.f64 #s(literal 1 binary64) z))) (*.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) z))) y) (/.f64 (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 x (-.f64 #s(literal 1 binary64) z)))) (*.f64 y y))))
(/.f64 (+.f64 (/.f64 #s(literal 64 binary64) (*.f64 y (*.f64 y y))) (*.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y) (/.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 x (-.f64 #s(literal 1 binary64) z))) (*.f64 y y)))) (+.f64 (/.f64 #s(literal 16 binary64) (*.f64 y y)) (*.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y) (/.f64 (-.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) #s(literal 4 binary64)) y))))
(/.f64 (+.f64 (/.f64 #s(literal 64 binary64) (*.f64 y (*.f64 y y))) (*.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y) (/.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 x (-.f64 #s(literal 1 binary64) z))) (*.f64 y y)))) (+.f64 (/.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 x (-.f64 #s(literal 1 binary64) z))) (*.f64 y y)) (/.f64 (-.f64 #s(literal 16 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) z)))) (*.f64 y y))))
(/.f64 (/.f64 (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 x (-.f64 #s(literal 1 binary64) z)))) (*.f64 y y)) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) z))) y))
(/.f64 (+.f64 (*.f64 #s(literal 4 binary64) y) (*.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) z)))) (*.f64 y y))
(/.f64 (+.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) z)))) (*.f64 (/.f64 y #s(literal 4 binary64)) y))
(/.f64 (+.f64 (*.f64 #s(literal -4 binary64) y) (*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 x (-.f64 #s(literal 1 binary64) z)))) (*.f64 (-.f64 #s(literal 0 binary64) y) y))
(/.f64 (+.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y) (*.f64 y #s(literal 4 binary64))) (*.f64 y y))
(/.f64 (+.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (/.f64 y #s(literal 4 binary64))) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y #s(literal 4 binary64))))
(/.f64 (+.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (-.f64 #s(literal 0 binary64) y)) (*.f64 y #s(literal -4 binary64))) (*.f64 y (-.f64 #s(literal 0 binary64) y)))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 64 binary64) (*.f64 y (*.f64 y y))) (*.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y) (/.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 x (-.f64 #s(literal 1 binary64) z))) (*.f64 y y))))) (neg.f64 (+.f64 (/.f64 #s(literal 16 binary64) (*.f64 y y)) (*.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y) (/.f64 (-.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) #s(literal 4 binary64)) y)))))
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 x (-.f64 #s(literal 1 binary64) z)))) (*.f64 y y))) (neg.f64 (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) z))) y)))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 x (-.f64 #s(literal 1 binary64) z))) #s(literal 16 binary64)) (*.f64 y y)) (/.f64 (-.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) #s(literal 4 binary64)) y))
(/.f64 (+.f64 (*.f64 #s(literal 4 binary64) (/.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) z)))) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) z)))))
(/.f64 (+.f64 (*.f64 #s(literal 4 binary64) (/.f64 y x)) (*.f64 y (-.f64 #s(literal 1 binary64) z))) (*.f64 y (/.f64 y x)))
(/.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) z))))) (*.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))))) (*.f64 y (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) z))))))
(/.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) z))) (*.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z z))))) (*.f64 y (*.f64 y (+.f64 #s(literal 1 binary64) z))))
(/.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 y x) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) z))))) (*.f64 y (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))))) (*.f64 y (*.f64 (/.f64 y x) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) z))))))
(/.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 y x) (+.f64 #s(literal 1 binary64) z))) (*.f64 y (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 z z))))) (*.f64 y (*.f64 (/.f64 y x) (+.f64 #s(literal 1 binary64) z))))
(/.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 (-.f64 #s(literal 0 binary64) y) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) z))))) (*.f64 y (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))))) (*.f64 y (*.f64 (-.f64 #s(literal 0 binary64) y) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) z))))))
(/.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 (-.f64 #s(literal 0 binary64) y) (+.f64 #s(literal 1 binary64) z))) (*.f64 y (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 z z))))) (*.f64 y (*.f64 (-.f64 #s(literal 0 binary64) y) (+.f64 #s(literal 1 binary64) z))))
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(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 z z) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (+.f64 #s(literal 1 binary64) z))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) z)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z))) (neg.f64 (+.f64 #s(literal 1 binary64) z)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) z)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) z))) (*.f64 z (*.f64 z z)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) z))) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) z)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z)) (*.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 z z))) (*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) z)))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) z))) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) (*.f64 z z))) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) z)))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z)))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z)))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 x z) y)
(/.f64 (neg.f64 (*.f64 x z)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (*.f64 z (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) z) (-.f64 #s(literal 0 binary64) y))
(pow.f64 (/.f64 y (*.f64 x z)) #s(literal -1 binary64))
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) z))
(*.f64 x (/.f64 z y))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(*.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) y))

simplify213.0ms (2%)

Algorithm
egg-herbie
Rules
2480×*-lowering-*.f32
2480×*-lowering-*.f64
1824×fmsub-define
1722×fnmsub-define
1586×fmm-def
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01012084
13472024
29761820
329281797
084991797
Stop Event
iter limit
node limit
Counts
276 → 276
Calls
Call 1
Inputs
(fabs (+ (* 4 (/ 1 y)) (/ (* x (- 1 z)) y)))
(fabs (+ (* 4 (/ 1 y)) (/ (* x (- 1 z)) y)))
(fabs (+ (* 4 (/ 1 y)) (/ (* x (- 1 z)) y)))
(fabs (+ (* 4 (/ 1 y)) (/ (* x (- 1 z)) y)))
(fabs (+ (* 4 (/ 1 y)) (/ (* x (- 1 z)) y)))
(fabs (+ (* 4 (/ 1 y)) (/ (* x (- 1 z)) y)))
(fabs (+ (* 4 (/ 1 y)) (/ (* x (- 1 z)) y)))
(fabs (+ (* 4 (/ 1 y)) (/ (* x (- 1 z)) y)))
(fabs (+ (* 4 (/ 1 y)) (/ (* x (- 1 z)) y)))
(fabs (+ (* 4 (/ 1 y)) (/ (* x (- 1 z)) y)))
(fabs (+ (* 4 (/ 1 y)) (/ (* x (- 1 z)) y)))
(fabs (+ (* 4 (/ 1 y)) (/ (* x (- 1 z)) y)))
(fabs (+ (* 4 (/ 1 y)) (/ (* x (- 1 z)) y)))
(fabs (+ (* 4 (/ 1 y)) (/ (* x (- 1 z)) y)))
(fabs (+ (* 4 (/ 1 y)) (/ (* x (- 1 z)) y)))
(fabs (+ (* 4 (/ 1 y)) (/ (* x (- 1 z)) y)))
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))
(fabs (+ (* 4 (/ 1 y)) (/ (* x (- 1 z)) y)))
(fabs (+ (* 4 (/ 1 y)) (/ (* x (- 1 z)) y)))
(fabs (+ (* 4 (/ 1 y)) (/ (* x (- 1 z)) y)))
(fabs (+ (* 4 (/ 1 y)) (/ (* x (- 1 z)) y)))
(fabs (+ (* 4 (/ 1 y)) (/ (* x (- 1 z)) y)))
(fabs (+ (* 4 (/ 1 y)) (/ (* x (- 1 z)) y)))
(fabs (+ (* 4 (/ 1 y)) (/ (* x (- 1 z)) y)))
(fabs (+ (* 4 (/ 1 y)) (/ (* x (- 1 z)) y)))
(fabs (+ (* 4 (/ 1 y)) (/ (* x (- 1 z)) y)))
(fabs (+ (* 4 (/ 1 y)) (/ (* x (- 1 z)) y)))
(fabs (+ (* 4 (/ 1 y)) (/ (* x (- 1 z)) y)))
(fabs (+ (* 4 (/ 1 y)) (/ (* x (- 1 z)) y)))
(fabs (+ (* 4 (/ 1 y)) (/ (* x (+ 1 (* -1 z))) y)))
(fabs (+ (* 4 (/ 1 y)) (/ (* x (+ 1 (* -1 z))) y)))
(fabs (+ (* 4 (/ 1 y)) (/ (* x (+ 1 (* -1 z))) y)))
(fabs (+ (* 4 (/ 1 y)) (/ (* x (+ 1 (* -1 z))) y)))
(/ (+ 4 (* x (- 1 z))) y)
(/ (+ 4 (* x (- 1 z))) y)
(/ (+ 4 (* x (- 1 z))) y)
(/ (+ 4 (* x (- 1 z))) y)
(/ (+ 4 (* x (- 1 z))) y)
(/ (+ 4 (* x (- 1 z))) y)
(/ (+ 4 (* x (- 1 z))) y)
(/ (+ 4 (* x (- 1 z))) y)
(* -1 (/ (- (* -1 (* x (- 1 z))) 4) y))
(* -1 (/ (- (* -1 (* x (- 1 z))) 4) y))
(* -1 (/ (- (* -1 (* x (- 1 z))) 4) y))
(* -1 (/ (- (* -1 (* x (- 1 z))) 4) y))
(/ 4 y)
(+ (* x (- (/ 1 y) (/ z y))) (* 4 (/ 1 y)))
(+ (* x (- (/ 1 y) (/ z y))) (* 4 (/ 1 y)))
(+ (* x (- (/ 1 y) (/ z y))) (* 4 (/ 1 y)))
(* x (- (/ 1 y) (/ z y)))
(* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y)))
(* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y)))
(* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y)))
(/ (* x (- 1 z)) y)
(* -1 (* x (- (* -1 (/ (- 1 z) y)) (* 4 (/ 1 (* x y))))))
(* -1 (* x (- (* -1 (/ (- 1 z) y)) (* 4 (/ 1 (* x y))))))
(* -1 (* x (- (* -1 (/ (- 1 z) y)) (* 4 (/ 1 (* x y))))))
(+ (* 4 (/ 1 y)) (/ x y))
(+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))
(+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))
(+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))
(* -1 (/ (* x z) y))
(* z (+ (* -1 (/ x y)) (+ (/ 4 (* y z)) (/ x (* y z)))))
(* z (+ (* -1 (/ x y)) (+ (/ 4 (* y z)) (/ x (* y z)))))
(* z (+ (* -1 (/ x y)) (+ (/ 4 (* y z)) (/ x (* y z)))))
(* -1 (/ (* x z) y))
(* -1 (* z (+ (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (/ x y))))
(* -1 (* z (+ (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (/ x y))))
(* -1 (* z (+ (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (/ x y))))
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ (* x (- 1 z)) y)
(/ (* x (- 1 z)) y)
(/ (* x (- 1 z)) y)
(/ (* x (- 1 z)) y)
(/ (* x (- 1 z)) y)
(/ (* x (- 1 z)) y)
(/ (* x (- 1 z)) y)
(/ (* x (- 1 z)) y)
(/ (* x (- 1 z)) y)
(/ (* x (- 1 z)) y)
(/ (* x (- 1 z)) y)
(/ (* x (- 1 z)) y)
(/ (* x (- 1 z)) y)
(/ (* x (- 1 z)) y)
(/ (* x (- 1 z)) y)
(/ (* x (- 1 z)) y)
(/ (* x (- 1 z)) y)
(/ (* x (- 1 z)) y)
(/ (* x (- 1 z)) y)
(/ (* x (- 1 z)) y)
(/ (* x (- 1 z)) y)
(/ (* x (- 1 z)) y)
(/ (* x (- 1 z)) y)
(/ (* x (- 1 z)) y)
(/ x y)
(+ (* -1 (/ (* x z) y)) (/ x y))
(+ (* -1 (/ (* x z) y)) (/ x y))
(+ (* -1 (/ (* x z) y)) (/ x y))
(* -1 (/ (* x z) y))
(* z (+ (* -1 (/ x y)) (/ x (* y z))))
(* z (+ (* -1 (/ x y)) (/ x (* y z))))
(* z (+ (* -1 (/ x y)) (/ x (* y z))))
(* -1 (/ (* x z) y))
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ x y))))
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ x y))))
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ x y))))
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))
(fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y))))
(fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y))))
(fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y))))
(fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y))))
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))
(/ 4 y)
(+ (* x (- (/ 1 y) (/ z y))) (* 4 (/ 1 y)))
(+ (* x (- (/ 1 y) (/ z y))) (* 4 (/ 1 y)))
(+ (* x (- (/ 1 y) (/ z y))) (* 4 (/ 1 y)))
(* x (- (/ 1 y) (/ z y)))
(* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y)))
(* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y)))
(* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y)))
(* x (+ (* -1 (/ z y)) (/ 1 y)))
(* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y))))))
(* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y))))))
(* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y))))))
(/ (- (+ 4 x) (* x z)) y)
(/ (- (+ 4 x) (* x z)) y)
(/ (- (+ 4 x) (* x z)) y)
(/ (- (+ 4 x) (* x z)) y)
(/ (- (+ 4 x) (* x z)) y)
(/ (- (+ 4 x) (* x z)) y)
(/ (- (+ 4 x) (* x z)) y)
(/ (- (+ 4 x) (* x z)) y)
(* -1 (/ (- (* -1 (+ 4 x)) (* -1 (* x z))) y))
(* -1 (/ (- (* -1 (+ 4 x)) (* -1 (* x z))) y))
(* -1 (/ (- (* -1 (+ 4 x)) (* -1 (* x z))) y))
(* -1 (/ (- (* -1 (+ 4 x)) (* -1 (* x z))) y))
(+ (* 4 (/ 1 y)) (/ x y))
(+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))
(+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))
(+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))
(* -1 (/ (* x z) y))
(* z (- (+ (/ 4 (* y z)) (/ x (* y z))) (/ x y)))
(* z (- (+ (/ 4 (* y z)) (/ x (* y z))) (/ x y)))
(* z (- (+ (/ 4 (* y z)) (/ x (* y z))) (/ x y)))
(* -1 (/ (* x z) y))
(* -1 (* z (- (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (* -1 (/ x y)))))
(* -1 (* z (- (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (* -1 (/ x y)))))
(* -1 (* z (- (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (* -1 (/ x y)))))
(/ 4 y)
(+ (* 4 (/ 1 y)) (/ x y))
(+ (* 4 (/ 1 y)) (/ x y))
(+ (* 4 (/ 1 y)) (/ x y))
(/ x y)
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y)))))
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y)))))
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y)))))
(/ x y)
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y)))))
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y)))))
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y)))))
(/ (+ 4 x) y)
(/ (+ 4 x) y)
(/ (+ 4 x) y)
(/ (+ 4 x) y)
(/ (+ 4 x) y)
(/ (+ 4 x) y)
(/ (+ 4 x) y)
(/ (+ 4 x) y)
(/ (+ 4 x) y)
(/ (+ 4 x) y)
(/ (+ 4 x) y)
(/ (+ 4 x) y)
4
(+ 4 x)
(+ 4 x)
(+ 4 x)
x
(* x (+ 1 (* 4 (/ 1 x))))
(* x (+ 1 (* 4 (/ 1 x))))
(* x (+ 1 (* 4 (/ 1 x))))
x
(* x (+ 1 (* 4 (/ 1 x))))
(* x (+ 1 (* 4 (/ 1 x))))
(* x (+ 1 (* 4 (/ 1 x))))
1
(+ 1 (* -1 z))
(+ 1 (* -1 z))
(+ 1 (* -1 z))
(* -1 z)
(* z (- (/ 1 z) 1))
(* z (- (/ 1 z) 1))
(* z (- (/ 1 z) 1))
(* -1 z)
(* -1 (* z (- 1 (/ 1 z))))
(* -1 (* z (- 1 (/ 1 z))))
(* -1 (* z (- 1 (/ 1 z))))
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
Outputs
(fabs (+ (* 4 (/ 1 y)) (/ (* x (- 1 z)) y)))
(fabs.f64 (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) z))) y))
(fabs (+ (* 4 (/ 1 y)) (/ (* x (- 1 z)) y)))
(fabs.f64 (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) z))) y))
(fabs (+ (* 4 (/ 1 y)) (/ (* x (- 1 z)) y)))
(fabs.f64 (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) z))) y))
(fabs (+ (* 4 (/ 1 y)) (/ (* x (- 1 z)) y)))
(fabs.f64 (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) z))) y))
(fabs (+ (* 4 (/ 1 y)) (/ (* x (- 1 z)) y)))
(fabs.f64 (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) z))) y))
(fabs (+ (* 4 (/ 1 y)) (/ (* x (- 1 z)) y)))
(fabs.f64 (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) z))) y))
(fabs (+ (* 4 (/ 1 y)) (/ (* x (- 1 z)) y)))
(fabs.f64 (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) z))) y))
(fabs (+ (* 4 (/ 1 y)) (/ (* x (- 1 z)) y)))
(fabs.f64 (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) z))) y))
(fabs (+ (* 4 (/ 1 y)) (/ (* x (- 1 z)) y)))
(fabs.f64 (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) z))) y))
(fabs (+ (* 4 (/ 1 y)) (/ (* x (- 1 z)) y)))
(fabs.f64 (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) z))) y))
(fabs (+ (* 4 (/ 1 y)) (/ (* x (- 1 z)) y)))
(fabs.f64 (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) z))) y))
(fabs (+ (* 4 (/ 1 y)) (/ (* x (- 1 z)) y)))
(fabs.f64 (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) z))) y))
(fabs (+ (* 4 (/ 1 y)) (/ (* x (- 1 z)) y)))
(fabs.f64 (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) z))) y))
(fabs (+ (* 4 (/ 1 y)) (/ (* x (- 1 z)) y)))
(fabs.f64 (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) z))) y))
(fabs (+ (* 4 (/ 1 y)) (/ (* x (- 1 z)) y)))
(fabs.f64 (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) z))) y))
(fabs (+ (* 4 (/ 1 y)) (/ (* x (- 1 z)) y)))
(fabs.f64 (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) z))) y))
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))
(fabs.f64 (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) z))) y))
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))
(fabs.f64 (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) z))) y))
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))
(fabs.f64 (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) z))) y))
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))
(fabs.f64 (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) z))) y))
(fabs (+ (* 4 (/ 1 y)) (/ (* x (- 1 z)) y)))
(fabs.f64 (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) z))) y))
(fabs (+ (* 4 (/ 1 y)) (/ (* x (- 1 z)) y)))
(fabs.f64 (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) z))) y))
(fabs (+ (* 4 (/ 1 y)) (/ (* x (- 1 z)) y)))
(fabs.f64 (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) z))) y))
(fabs (+ (* 4 (/ 1 y)) (/ (* x (- 1 z)) y)))
(fabs.f64 (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) z))) y))
(fabs (+ (* 4 (/ 1 y)) (/ (* x (- 1 z)) y)))
(fabs.f64 (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) z))) y))
(fabs (+ (* 4 (/ 1 y)) (/ (* x (- 1 z)) y)))
(fabs.f64 (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) z))) y))
(fabs (+ (* 4 (/ 1 y)) (/ (* x (- 1 z)) y)))
(fabs.f64 (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) z))) y))
(fabs (+ (* 4 (/ 1 y)) (/ (* x (- 1 z)) y)))
(fabs.f64 (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) z))) y))
(fabs (+ (* 4 (/ 1 y)) (/ (* x (- 1 z)) y)))
(fabs.f64 (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) z))) y))
(fabs (+ (* 4 (/ 1 y)) (/ (* x (- 1 z)) y)))
(fabs.f64 (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) z))) y))
(fabs (+ (* 4 (/ 1 y)) (/ (* x (- 1 z)) y)))
(fabs.f64 (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) z))) y))
(fabs (+ (* 4 (/ 1 y)) (/ (* x (- 1 z)) y)))
(fabs.f64 (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) z))) y))
(fabs (+ (* 4 (/ 1 y)) (/ (* x (+ 1 (* -1 z))) y)))
(fabs.f64 (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) z))) y))
(fabs (+ (* 4 (/ 1 y)) (/ (* x (+ 1 (* -1 z))) y)))
(fabs.f64 (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) z))) y))
(fabs (+ (* 4 (/ 1 y)) (/ (* x (+ 1 (* -1 z))) y)))
(fabs.f64 (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) z))) y))
(fabs (+ (* 4 (/ 1 y)) (/ (* x (+ 1 (* -1 z))) y)))
(fabs.f64 (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) z))) y))
(/ (+ 4 (* x (- 1 z))) y)
(/.f64 (+.f64 #s(literal 4 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) z))) y)
(/ (+ 4 (* x (- 1 z))) y)
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(+ (* 4 (/ 1 y)) (/ x y))
(/.f64 (+.f64 #s(literal 4 binary64) x) y)
(+ (* 4 (/ 1 y)) (/ x y))
(/.f64 (+.f64 #s(literal 4 binary64) x) y)
(+ (* 4 (/ 1 y)) (/ x y))
(/.f64 (+.f64 #s(literal 4 binary64) x) y)
(/ x y)
(/.f64 x y)
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y)))))
(/.f64 (+.f64 #s(literal 4 binary64) x) y)
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y)))))
(/.f64 (+.f64 #s(literal 4 binary64) x) y)
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y)))))
(/.f64 (+.f64 #s(literal 4 binary64) x) y)
(/ x y)
(/.f64 x y)
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y)))))
(/.f64 (+.f64 #s(literal 4 binary64) x) y)
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y)))))
(/.f64 (+.f64 #s(literal 4 binary64) x) y)
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y)))))
(/.f64 (+.f64 #s(literal 4 binary64) x) y)
(/ (+ 4 x) y)
(/.f64 (+.f64 #s(literal 4 binary64) x) y)
(/ (+ 4 x) y)
(/.f64 (+.f64 #s(literal 4 binary64) x) y)
(/ (+ 4 x) y)
(/.f64 (+.f64 #s(literal 4 binary64) x) y)
(/ (+ 4 x) y)
(/.f64 (+.f64 #s(literal 4 binary64) x) y)
(/ (+ 4 x) y)
(/.f64 (+.f64 #s(literal 4 binary64) x) y)
(/ (+ 4 x) y)
(/.f64 (+.f64 #s(literal 4 binary64) x) y)
(/ (+ 4 x) y)
(/.f64 (+.f64 #s(literal 4 binary64) x) y)
(/ (+ 4 x) y)
(/.f64 (+.f64 #s(literal 4 binary64) x) y)
(/ (+ 4 x) y)
(/.f64 (+.f64 #s(literal 4 binary64) x) y)
(/ (+ 4 x) y)
(/.f64 (+.f64 #s(literal 4 binary64) x) y)
(/ (+ 4 x) y)
(/.f64 (+.f64 #s(literal 4 binary64) x) y)
(/ (+ 4 x) y)
(/.f64 (+.f64 #s(literal 4 binary64) x) y)
4
#s(literal 4 binary64)
(+ 4 x)
(+.f64 #s(literal 4 binary64) x)
(+ 4 x)
(+.f64 #s(literal 4 binary64) x)
(+ 4 x)
(+.f64 #s(literal 4 binary64) x)
x
(* x (+ 1 (* 4 (/ 1 x))))
(+.f64 #s(literal 4 binary64) x)
(* x (+ 1 (* 4 (/ 1 x))))
(+.f64 #s(literal 4 binary64) x)
(* x (+ 1 (* 4 (/ 1 x))))
(+.f64 #s(literal 4 binary64) x)
x
(* x (+ 1 (* 4 (/ 1 x))))
(+.f64 #s(literal 4 binary64) x)
(* x (+ 1 (* 4 (/ 1 x))))
(+.f64 #s(literal 4 binary64) x)
(* x (+ 1 (* 4 (/ 1 x))))
(+.f64 #s(literal 4 binary64) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 z))
(-.f64 #s(literal 1 binary64) z)
(+ 1 (* -1 z))
(-.f64 #s(literal 1 binary64) z)
(+ 1 (* -1 z))
(-.f64 #s(literal 1 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* z (- (/ 1 z) 1))
(-.f64 #s(literal 1 binary64) z)
(* z (- (/ 1 z) 1))
(-.f64 #s(literal 1 binary64) z)
(* z (- (/ 1 z) 1))
(-.f64 #s(literal 1 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 (* z (- 1 (/ 1 z))))
(-.f64 #s(literal 1 binary64) z)
(* -1 (* z (- 1 (/ 1 z))))
(-.f64 #s(literal 1 binary64) z)
(* -1 (* z (- 1 (/ 1 z))))
(-.f64 #s(literal 1 binary64) z)
(/ (* x z) y)
(/.f64 (*.f64 x z) y)
(/ (* x z) y)
(/.f64 (*.f64 x z) y)
(/ (* x z) y)
(/.f64 (*.f64 x z) y)
(/ (* x z) y)
(/.f64 (*.f64 x z) y)
(/ (* x z) y)
(/.f64 (*.f64 x z) y)
(/ (* x z) y)
(/.f64 (*.f64 x z) y)
(/ (* x z) y)
(/.f64 (*.f64 x z) y)
(/ (* x z) y)
(/.f64 (*.f64 x z) y)
(/ (* x z) y)
(/.f64 (*.f64 x z) y)
(/ (* x z) y)
(/.f64 (*.f64 x z) y)
(/ (* x z) y)
(/.f64 (*.f64 x z) y)
(/ (* x z) y)
(/.f64 (*.f64 x z) y)
(/ (* x z) y)
(/.f64 (*.f64 x z) y)
(/ (* x z) y)
(/.f64 (*.f64 x z) y)
(/ (* x z) y)
(/.f64 (*.f64 x z) y)
(/ (* x z) y)
(/.f64 (*.f64 x z) y)
(/ (* x z) y)
(/.f64 (*.f64 x z) y)
(/ (* x z) y)
(/.f64 (*.f64 x z) y)
(/ (* x z) y)
(/.f64 (*.f64 x z) y)
(/ (* x z) y)
(/.f64 (*.f64 x z) y)
(/ (* x z) y)
(/.f64 (*.f64 x z) y)
(/ (* x z) y)
(/.f64 (*.f64 x z) y)
(/ (* x z) y)
(/.f64 (*.f64 x z) y)
(/ (* x z) y)
(/.f64 (*.f64 x z) y)
(/ (* x z) y)
(/.f64 (*.f64 x z) y)
(/ (* x z) y)
(/.f64 (*.f64 x z) y)
(/ (* x z) y)
(/.f64 (*.f64 x z) y)
(/ (* x z) y)
(/.f64 (*.f64 x z) y)
(/ (* x z) y)
(/.f64 (*.f64 x z) y)
(/ (* x z) y)
(/.f64 (*.f64 x z) y)
(/ (* x z) y)
(/.f64 (*.f64 x z) y)
(/ (* x z) y)
(/.f64 (*.f64 x z) y)
(/ (* x z) y)
(/.f64 (*.f64 x z) y)
(/ (* x z) y)
(/.f64 (*.f64 x z) y)
(/ (* x z) y)
(/.f64 (*.f64 x z) y)
(/ (* x z) y)
(/.f64 (*.f64 x z) y)

eval141.0ms (1.3%)

Compiler

Compiled 23137 to 3099 computations (86.6% saved)

prune124.0ms (1.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New94410954
Fresh000
Picked202
Done000
Total94610956
Accuracy
100.0%
Counts
956 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.2%
(fabs.f64 (/.f64 (-.f64 (+.f64 #s(literal 4 binary64) x) (*.f64 x z)) y))
68.6%
(fabs.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y))
61.3%
(fabs.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y))
37.9%
(fabs.f64 (/.f64 #s(literal 4 binary64) y))
83.0%
(fabs.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal 16 binary64) (*.f64 x x)) (-.f64 #s(literal 4 binary64) x)) y) (*.f64 (/.f64 x y) z)))
92.9%
(fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 x (/.f64 z y))))
60.3%
(fabs.f64 (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) z)))
75.9%
(fabs.f64 (-.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (/.f64 x y) z)))
95.2%
(fabs.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 4 binary64) x))) (*.f64 (/.f64 x y) z)))
68.6%
(fabs.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 x y)))
Compiler

Compiled 260 to 180 computations (30.8% saved)

simplify153.0ms (1.5%)

Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 x #s(literal 4 binary64))
cost-diff0
(/.f64 (+.f64 x #s(literal 4 binary64)) y)
cost-diff128
(-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 x (/.f64 z y)))
cost-diff128
(fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 x (/.f64 z y))))
cost-diff0
(*.f64 (/.f64 x y) z)
cost-diff0
(/.f64 #s(literal 4 binary64) y)
cost-diff128
(-.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (/.f64 x y) z))
cost-diff128
(fabs.f64 (-.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (/.f64 x y) z)))
cost-diff0
(/.f64 x y)
cost-diff0
(/.f64 #s(literal 4 binary64) y)
cost-diff128
(+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 x y))
cost-diff128
(fabs.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 x y)))
cost-diff0
(/.f64 #s(literal 4 binary64) y)
cost-diff0
(fabs.f64 (/.f64 #s(literal 4 binary64) y))
cost-diff0
(+.f64 #s(literal 4 binary64) x)
cost-diff0
(-.f64 (+.f64 #s(literal 4 binary64) x) (*.f64 x z))
cost-diff0
(/.f64 (-.f64 (+.f64 #s(literal 4 binary64) x) (*.f64 x z)) y)
cost-diff0
(fabs.f64 (/.f64 (-.f64 (+.f64 #s(literal 4 binary64) x) (*.f64 x z)) y))
Rules
2998×sum5-define
2374×sum4-define
2086×fnmadd-define
2032×sum3-define
1304×fma-lowering-fma.f32
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
023144
158143
2128137
3230137
4399134
5969127
62791127
75453127
08147127
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(fabs (/ (- (+ 4 x) (* x z)) y))
(/ (- (+ 4 x) (* x z)) y)
(- (+ 4 x) (* x z))
(+ 4 x)
4
x
(* x z)
z
y
(fabs (/ 4 y))
(/ 4 y)
4
y
(fabs (+ (/ 4 y) (/ x y)))
(+ (/ 4 y) (/ x y))
(/ 4 y)
4
y
(/ x y)
x
(fabs (- (/ 4 y) (* (/ x y) z)))
(- (/ 4 y) (* (/ x y) z))
(/ 4 y)
4
y
(* (/ x y) z)
(/ x y)
x
z
(fabs (- (/ (+ x 4) y) (* x (/ z y))))
(- (/ (+ x 4) y) (* x (/ z y)))
(/ (+ x 4) y)
(+ x 4)
x
4
y
(* x (/ z y))
(/ z y)
z
Outputs
(fabs (/ (- (+ 4 x) (* x z)) y))
(fabs.f64 (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 x (+.f64 z #s(literal -1 binary64)))) y))
(/ (- (+ 4 x) (* x z)) y)
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 x (+.f64 z #s(literal -1 binary64)))) y)
(- (+ 4 x) (* x z))
(-.f64 #s(literal 4 binary64) (*.f64 x (+.f64 z #s(literal -1 binary64))))
(+ 4 x)
(+.f64 #s(literal 4 binary64) x)
4
#s(literal 4 binary64)
x
(* x z)
(*.f64 x z)
z
y
(fabs (/ 4 y))
(/.f64 #s(literal 4 binary64) (fabs.f64 y))
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
4
#s(literal 4 binary64)
y
(fabs (+ (/ 4 y) (/ x y)))
(fabs.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y))
(+ (/ 4 y) (/ x y))
(/.f64 (+.f64 #s(literal 4 binary64) x) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
4
#s(literal 4 binary64)
y
(/ x y)
(/.f64 x y)
x
(fabs (- (/ 4 y) (* (/ x y) z)))
(fabs.f64 (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 x z)) y))
(- (/ 4 y) (* (/ x y) z))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 x z)) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
4
#s(literal 4 binary64)
y
(* (/ x y) z)
(/.f64 (*.f64 x z) y)
(/ x y)
(/.f64 x y)
x
z
(fabs (- (/ (+ x 4) y) (* x (/ z y))))
(fabs.f64 (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 x (+.f64 z #s(literal -1 binary64)))) y))
(- (/ (+ x 4) y) (* x (/ z y)))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 x (+.f64 z #s(literal -1 binary64)))) y)
(/ (+ x 4) y)
(/.f64 (+.f64 #s(literal 4 binary64) x) y)
(+ x 4)
(+.f64 #s(literal 4 binary64) x)
x
4
#s(literal 4 binary64)
y
(* x (/ z y))
(/.f64 (*.f64 x z) y)
(/ z y)
(/.f64 z y)
z

localize106.0ms (1%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 x (/.f64 z y))))
accuracy100.0%
(/.f64 (+.f64 x #s(literal 4 binary64)) y)
accuracy98.3%
(-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 x (/.f64 z y)))
accuracy91.9%
(*.f64 x (/.f64 z y))
accuracy100.0%
(/.f64 #s(literal 4 binary64) y)
accuracy100.0%
(fabs.f64 (-.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (/.f64 x y) z)))
accuracy100.0%
(-.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (/.f64 x y) z))
accuracy93.0%
(*.f64 (/.f64 x y) z)
accuracy100.0%
(/.f64 x y)
accuracy100.0%
(/.f64 #s(literal 4 binary64) y)
accuracy100.0%
(fabs.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 x y)))
accuracy100.0%
(+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 x y))
accuracy100.0%
(/.f64 #s(literal 4 binary64) y)
accuracy100.0%
(fabs.f64 (/.f64 #s(literal 4 binary64) y))
accuracy100.0%
(*.f64 x z)
accuracy100.0%
(fabs.f64 (/.f64 (-.f64 (+.f64 #s(literal 4 binary64) x) (*.f64 x z)) y))
accuracy100.0%
(-.f64 (+.f64 #s(literal 4 binary64) x) (*.f64 x z))
accuracy96.2%
(/.f64 (-.f64 (+.f64 #s(literal 4 binary64) x) (*.f64 x z)) y)
Results
71.0ms256×0valid
Compiler

Compiled 150 to 24 computations (84% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-div: 9.0ms (26.8% of total)
ival-add: 8.0ms (23.9% of total)
ival-mult: 7.0ms (20.9% of total)
ival-fabs: 6.0ms (17.9% of total)
ival-sub: 3.0ms (8.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series19.0ms (0.2%)

Counts
18 → 480
Calls
Call 1
Inputs
#<alt (fabs (/ (- (+ 4 x) (* x z)) y))>
#<alt (/ (- (+ 4 x) (* x z)) y)>
#<alt (- (+ 4 x) (* x z))>
#<alt (+ 4 x)>
#<alt (fabs (/ 4 y))>
#<alt (/ 4 y)>
#<alt (fabs (+ (/ 4 y) (/ x y)))>
#<alt (+ (/ 4 y) (/ x y))>
#<alt (/ x y)>
#<alt (fabs (- (/ 4 y) (* (/ x y) z)))>
#<alt (- (/ 4 y) (* (/ x y) z))>
#<alt (* (/ x y) z)>
#<alt (fabs (- (/ (+ x 4) y) (* x (/ z y))))>
#<alt (- (/ (+ x 4) y) (* x (/ z y)))>
#<alt (/ (+ x 4) y)>
#<alt (+ x 4)>
#<alt (* x z)>
#<alt (* x (/ z y))>
Outputs
#<alt (fabs (/ (- (+ 4 x) (* x z)) y))>
#<alt (fabs (/ (- (+ 4 x) (* x z)) y))>
#<alt (fabs (/ (- (+ 4 x) (* x z)) y))>
#<alt (fabs (/ (- (+ 4 x) (* x z)) y))>
#<alt (fabs (/ (- (+ 4 x) (* x z)) y))>
#<alt (fabs (/ (- (+ 4 x) (* x z)) y))>
#<alt (fabs (/ (- (+ 4 x) (* x z)) y))>
#<alt (fabs (/ (- (+ 4 x) (* x z)) y))>
#<alt (fabs (/ (- 4 (+ (* -1 x) (* x z))) y))>
#<alt (fabs (/ (- 4 (+ (* -1 x) (* x z))) y))>
#<alt (fabs (/ (- 4 (+ (* -1 x) (* x z))) y))>
#<alt (fabs (/ (- 4 (+ (* -1 x) (* x z))) y))>
#<alt (fabs (/ (- (+ 4 x) (* x z)) y))>
#<alt (fabs (/ (- (+ 4 x) (* x z)) y))>
#<alt (fabs (/ (- (+ 4 x) (* x z)) y))>
#<alt (fabs (/ (- (+ 4 x) (* x z)) y))>
#<alt (fabs (/ (- (+ 4 x) (* x z)) y))>
#<alt (fabs (/ (- (+ 4 x) (* x z)) y))>
#<alt (fabs (/ (- (+ 4 x) (* x z)) y))>
#<alt (fabs (/ (- (+ 4 x) (* x z)) y))>
#<alt (fabs (/ (- (+ 4 x) (* x z)) y))>
#<alt (fabs (/ (- (+ 4 x) (* x z)) y))>
#<alt (fabs (/ (- (+ 4 x) (* x z)) y))>
#<alt (fabs (/ (- (+ 4 x) (* x z)) y))>
#<alt (fabs (/ (- (+ 4 x) (* x z)) y))>
#<alt (fabs (/ (- (+ 4 x) (* x z)) y))>
#<alt (fabs (/ (- (+ 4 x) (* x z)) y))>
#<alt (fabs (/ (- (+ 4 x) (* x z)) y))>
#<alt (fabs (/ (- (+ 4 x) (* x z)) y))>
#<alt (fabs (/ (- (+ 4 x) (* x z)) y))>
#<alt (fabs (/ (- (+ 4 x) (* x z)) y))>
#<alt (fabs (/ (- (+ 4 x) (* x z)) y))>
#<alt (fabs (/ (- (+ 4 x) (* x z)) y))>
#<alt (fabs (/ (- (+ 4 x) (* x z)) y))>
#<alt (fabs (/ (- (+ 4 x) (* x z)) y))>
#<alt (fabs (/ (- (+ 4 x) (* x z)) y))>
#<alt (/ 4 y)>
#<alt (+ (* x (- (/ 1 y) (/ z y))) (* 4 (/ 1 y)))>
#<alt (+ (* x (- (/ 1 y) (/ z y))) (* 4 (/ 1 y)))>
#<alt (+ (* x (- (/ 1 y) (/ z y))) (* 4 (/ 1 y)))>
#<alt (/ (* x (- 1 z)) y)>
#<alt (* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y)))>
#<alt (* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y)))>
#<alt (* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y)))>
#<alt (/ (* x (+ 1 (* -1 z))) y)>
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* -1 z)) y)) (* 4 (/ 1 (* x y))))))>
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* -1 z)) y)) (* 4 (/ 1 (* x y))))))>
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* -1 z)) y)) (* 4 (/ 1 (* x y))))))>
#<alt (/ (+ 4 x) y)>
#<alt (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))>
#<alt (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))>
#<alt (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* z (+ (* -1 (/ x y)) (+ (/ 4 (* y z)) (/ x (* y z)))))>
#<alt (* z (+ (* -1 (/ x y)) (+ (/ 4 (* y z)) (/ x (* y z)))))>
#<alt (* z (+ (* -1 (/ x y)) (+ (/ 4 (* y z)) (/ x (* y z)))))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (* z (+ (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (/ x y))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (/ x y))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (/ x y))))>
#<alt (/ (- (+ 4 x) (* x z)) y)>
#<alt (/ (- (+ 4 x) (* x z)) y)>
#<alt (/ (- (+ 4 x) (* x z)) y)>
#<alt (/ (- (+ 4 x) (* x z)) y)>
#<alt (/ (- (+ 4 x) (* x z)) y)>
#<alt (/ (- (+ 4 x) (* x z)) y)>
#<alt (/ (- (+ 4 x) (* x z)) y)>
#<alt (/ (- (+ 4 x) (* x z)) y)>
#<alt (/ (- (+ 4 x) (* x z)) y)>
#<alt (/ (- (+ 4 x) (* x z)) y)>
#<alt (/ (- (+ 4 x) (* x z)) y)>
#<alt (/ (- (+ 4 x) (* x z)) y)>
#<alt 4>
#<alt (+ 4 (* x (- 1 z)))>
#<alt (+ 4 (* x (- 1 z)))>
#<alt (+ 4 (* x (- 1 z)))>
#<alt (* x (- 1 z))>
#<alt (* x (- (+ 1 (* 4 (/ 1 x))) z))>
#<alt (* x (- (+ 1 (* 4 (/ 1 x))) z))>
#<alt (* x (- (+ 1 (* 4 (/ 1 x))) z))>
#<alt (* x (+ 1 (* -1 z)))>
#<alt (* x (+ 1 (+ (* -1 z) (* 4 (/ 1 x)))))>
#<alt (* x (+ 1 (+ (* -1 z) (* 4 (/ 1 x)))))>
#<alt (* x (+ 1 (+ (* -1 z) (* 4 (/ 1 x)))))>
#<alt (+ 4 x)>
#<alt (+ 4 (+ x (* -1 (* x z))))>
#<alt (+ 4 (+ x (* -1 (* x z))))>
#<alt (+ 4 (+ x (* -1 (* x z))))>
#<alt (* -1 (* x z))>
#<alt (* z (- (+ (* 4 (/ 1 z)) (/ x z)) x))>
#<alt (* z (- (+ (* 4 (/ 1 z)) (/ x z)) x))>
#<alt (* z (- (+ (* 4 (/ 1 z)) (/ x z)) x))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* z (- (* -1 (/ (+ 4 x) z)) (* -1 x))))>
#<alt (* -1 (* z (- (* -1 (/ (+ 4 x) z)) (* -1 x))))>
#<alt (* -1 (* z (- (* -1 (/ (+ 4 x) z)) (* -1 x))))>
#<alt 4>
#<alt (+ 4 x)>
#<alt (+ 4 x)>
#<alt (+ 4 x)>
#<alt x>
#<alt (* x (+ 1 (* 4 (/ 1 x))))>
#<alt (* x (+ 1 (* 4 (/ 1 x))))>
#<alt (* x (+ 1 (* 4 (/ 1 x))))>
#<alt x>
#<alt (* x (+ 1 (* 4 (/ 1 x))))>
#<alt (* x (+ 1 (* 4 (/ 1 x))))>
#<alt (* x (+ 1 (* 4 (/ 1 x))))>
#<alt (fabs (/ 4 y))>
#<alt (fabs (/ 4 y))>
#<alt (fabs (/ 4 y))>
#<alt (fabs (/ 4 y))>
#<alt (fabs (/ 4 y))>
#<alt (fabs (/ 4 y))>
#<alt (fabs (/ 4 y))>
#<alt (fabs (/ 4 y))>
#<alt (fabs (/ 4 y))>
#<alt (fabs (/ 4 y))>
#<alt (fabs (/ 4 y))>
#<alt (fabs (/ 4 y))>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (fabs (+ (* 4 (/ 1 y)) (/ x y)))>
#<alt (fabs (+ (* 4 (/ 1 y)) (/ x y)))>
#<alt (fabs (+ (* 4 (/ 1 y)) (/ x y)))>
#<alt (fabs (+ (* 4 (/ 1 y)) (/ x y)))>
#<alt (fabs (+ (* 4 (/ 1 y)) (/ x y)))>
#<alt (fabs (+ (* 4 (/ 1 y)) (/ x y)))>
#<alt (fabs (+ (* 4 (/ 1 y)) (/ x y)))>
#<alt (fabs (+ (* 4 (/ 1 y)) (/ x y)))>
#<alt (fabs (+ (* 4 (/ 1 y)) (/ x y)))>
#<alt (fabs (+ (* 4 (/ 1 y)) (/ x y)))>
#<alt (fabs (+ (* 4 (/ 1 y)) (/ x y)))>
#<alt (fabs (+ (* 4 (/ 1 y)) (/ x y)))>
#<alt (fabs (+ (* 4 (/ 1 y)) (/ x y)))>
#<alt (fabs (+ (* 4 (/ 1 y)) (/ x y)))>
#<alt (fabs (+ (* 4 (/ 1 y)) (/ x y)))>
#<alt (fabs (+ (* 4 (/ 1 y)) (/ x y)))>
#<alt (fabs (+ (* 4 (/ 1 y)) (/ x y)))>
#<alt (fabs (+ (* 4 (/ 1 y)) (/ x y)))>
#<alt (fabs (+ (* 4 (/ 1 y)) (/ x y)))>
#<alt (fabs (+ (* 4 (/ 1 y)) (/ x y)))>
#<alt (fabs (- (* 4 (/ 1 y)) (* -1 (/ x y))))>
#<alt (fabs (- (* 4 (/ 1 y)) (* -1 (/ x y))))>
#<alt (fabs (- (* 4 (/ 1 y)) (* -1 (/ x y))))>
#<alt (fabs (- (* 4 (/ 1 y)) (* -1 (/ x y))))>
#<alt (/ (+ 4 x) y)>
#<alt (/ (+ 4 x) y)>
#<alt (/ (+ 4 x) y)>
#<alt (/ (+ 4 x) y)>
#<alt (/ (+ 4 x) y)>
#<alt (/ (+ 4 x) y)>
#<alt (/ (+ 4 x) y)>
#<alt (/ (+ 4 x) y)>
#<alt (* -1 (/ (- (* -1 x) 4) y))>
#<alt (* -1 (/ (- (* -1 x) 4) y))>
#<alt (* -1 (/ (- (* -1 x) 4) y))>
#<alt (* -1 (/ (- (* -1 x) 4) y))>
#<alt (/ 4 y)>
#<alt (+ (* 4 (/ 1 y)) (/ x y))>
#<alt (+ (* 4 (/ 1 y)) (/ x y))>
#<alt (+ (* 4 (/ 1 y)) (/ x y))>
#<alt (/ x y)>
#<alt (* x (+ (/ 1 y) (* 4 (/ 1 (* x y)))))>
#<alt (* x (+ (/ 1 y) (* 4 (/ 1 (* x y)))))>
#<alt (* x (+ (/ 1 y) (* 4 (/ 1 (* x y)))))>
#<alt (/ x y)>
#<alt (* x (+ (/ 1 y) (* 4 (/ 1 (* x y)))))>
#<alt (* x (+ (/ 1 y) (* 4 (/ 1 (* x y)))))>
#<alt (* x (+ (/ 1 y) (* 4 (/ 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)>
#<alt (fabs (- (* 4 (/ 1 y)) (/ (* x z) y)))>
#<alt (fabs (- (* 4 (/ 1 y)) (/ (* x z) y)))>
#<alt (fabs (- (* 4 (/ 1 y)) (/ (* x z) y)))>
#<alt (fabs (- (* 4 (/ 1 y)) (/ (* x z) y)))>
#<alt (fabs (- (* 4 (/ 1 y)) (/ (* x z) y)))>
#<alt (fabs (- (* 4 (/ 1 y)) (/ (* x z) y)))>
#<alt (fabs (- (* 4 (/ 1 y)) (/ (* x z) y)))>
#<alt (fabs (- (* 4 (/ 1 y)) (/ (* x z) y)))>
#<alt (fabs (- (* 4 (/ 1 y)) (/ (* x z) y)))>
#<alt (fabs (- (* 4 (/ 1 y)) (/ (* x z) y)))>
#<alt (fabs (- (* 4 (/ 1 y)) (/ (* x z) y)))>
#<alt (fabs (- (* 4 (/ 1 y)) (/ (* x z) y)))>
#<alt (fabs (- (* 4 (/ 1 y)) (/ (* x z) y)))>
#<alt (fabs (- (* 4 (/ 1 y)) (/ (* x z) y)))>
#<alt (fabs (- (* 4 (/ 1 y)) (/ (* x z) y)))>
#<alt (fabs (- (* 4 (/ 1 y)) (/ (* x z) y)))>
#<alt (fabs (- (* 4 (/ 1 y)) (/ (* x z) y)))>
#<alt (fabs (- (* 4 (/ 1 y)) (/ (* x z) y)))>
#<alt (fabs (- (* 4 (/ 1 y)) (/ (* x z) y)))>
#<alt (fabs (- (* 4 (/ 1 y)) (/ (* x z) y)))>
#<alt (fabs (- (* 4 (/ 1 y)) (/ (* x z) y)))>
#<alt (fabs (- (* 4 (/ 1 y)) (/ (* x z) y)))>
#<alt (fabs (- (* 4 (/ 1 y)) (/ (* x z) y)))>
#<alt (fabs (- (* 4 (/ 1 y)) (/ (* x z) y)))>
#<alt (fabs (- (* 4 (/ 1 y)) (/ (* x z) y)))>
#<alt (fabs (- (* 4 (/ 1 y)) (/ (* x z) y)))>
#<alt (fabs (- (* 4 (/ 1 y)) (/ (* x z) y)))>
#<alt (fabs (- (* 4 (/ 1 y)) (/ (* x z) y)))>
#<alt (fabs (- (* 4 (/ 1 y)) (/ (* x z) y)))>
#<alt (fabs (- (* 4 (/ 1 y)) (/ (* x z) y)))>
#<alt (fabs (- (* 4 (/ 1 y)) (/ (* x z) y)))>
#<alt (fabs (- (* 4 (/ 1 y)) (/ (* x z) y)))>
#<alt (fabs (- (* 4 (/ 1 y)) (/ (* x z) y)))>
#<alt (fabs (- (* 4 (/ 1 y)) (/ (* x z) y)))>
#<alt (fabs (- (* 4 (/ 1 y)) (/ (* x z) y)))>
#<alt (fabs (- (* 4 (/ 1 y)) (/ (* x z) y)))>
#<alt (/ (- 4 (* x z)) y)>
#<alt (/ (- 4 (* x z)) y)>
#<alt (/ (- 4 (* x z)) y)>
#<alt (/ (- 4 (* x z)) y)>
#<alt (/ (- 4 (* x z)) y)>
#<alt (/ (- 4 (* x z)) y)>
#<alt (/ (- 4 (* x z)) y)>
#<alt (/ (- 4 (* x z)) y)>
#<alt (/ (+ 4 (* -1 (* x z))) y)>
#<alt (/ (+ 4 (* -1 (* x z))) y)>
#<alt (/ (+ 4 (* -1 (* x z))) y)>
#<alt (/ (+ 4 (* -1 (* x z))) y)>
#<alt (/ 4 y)>
#<alt (+ (* -1 (/ (* x z) y)) (* 4 (/ 1 y)))>
#<alt (+ (* -1 (/ (* x z) y)) (* 4 (/ 1 y)))>
#<alt (+ (* -1 (/ (* x z) y)) (* 4 (/ 1 y)))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* x (- (* 4 (/ 1 (* x y))) (/ z y)))>
#<alt (* x (- (* 4 (/ 1 (* x y))) (/ z y)))>
#<alt (* x (- (* 4 (/ 1 (* x y))) (/ z y)))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* x (+ (* -1 (/ z y)) (* 4 (/ 1 (* x y)))))>
#<alt (* x (+ (* -1 (/ z y)) (* 4 (/ 1 (* x y)))))>
#<alt (* x (+ (* -1 (/ z y)) (* 4 (/ 1 (* x y)))))>
#<alt (/ 4 y)>
#<alt (+ (* -1 (/ (* x z) y)) (* 4 (/ 1 y)))>
#<alt (+ (* -1 (/ (* x z) y)) (* 4 (/ 1 y)))>
#<alt (+ (* -1 (/ (* x z) y)) (* 4 (/ 1 y)))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* z (- (* 4 (/ 1 (* y z))) (/ x y)))>
#<alt (* z (- (* 4 (/ 1 (* y z))) (/ x y)))>
#<alt (* z (- (* 4 (/ 1 (* y z))) (/ x y)))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* z (+ (* -1 (/ x y)) (* 4 (/ 1 (* y z)))))>
#<alt (* z (+ (* -1 (/ x y)) (* 4 (/ 1 (* y z)))))>
#<alt (* z (+ (* -1 (/ x y)) (* 4 (/ 1 (* y z)))))>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))>
#<alt (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))>
#<alt (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))>
#<alt (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))>
#<alt (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))>
#<alt (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))>
#<alt (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))>
#<alt (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))>
#<alt (fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y))))>
#<alt (fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y))))>
#<alt (fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y))))>
#<alt (fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y))))>
#<alt (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))>
#<alt (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))>
#<alt (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))>
#<alt (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))>
#<alt (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))>
#<alt (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))>
#<alt (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))>
#<alt (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))>
#<alt (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))>
#<alt (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))>
#<alt (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))>
#<alt (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))>
#<alt (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))>
#<alt (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))>
#<alt (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))>
#<alt (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))>
#<alt (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))>
#<alt (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))>
#<alt (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))>
#<alt (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))>
#<alt (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))>
#<alt (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))>
#<alt (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))>
#<alt (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))>
#<alt (/ 4 y)>
#<alt (+ (* x (- (/ 1 y) (/ z y))) (* 4 (/ 1 y)))>
#<alt (+ (* x (- (/ 1 y) (/ z y))) (* 4 (/ 1 y)))>
#<alt (+ (* x (- (/ 1 y) (/ z y))) (* 4 (/ 1 y)))>
#<alt (* x (- (/ 1 y) (/ z y)))>
#<alt (* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y)))>
#<alt (* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y)))>
#<alt (* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y)))>
#<alt (* x (+ (* -1 (/ z y)) (/ 1 y)))>
#<alt (* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y))))))>
#<alt (* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y))))))>
#<alt (* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y))))))>
#<alt (/ (- (+ 4 x) (* x z)) y)>
#<alt (/ (- (+ 4 x) (* x z)) y)>
#<alt (/ (- (+ 4 x) (* x z)) y)>
#<alt (/ (- (+ 4 x) (* x z)) y)>
#<alt (/ (- (+ 4 x) (* x z)) y)>
#<alt (/ (- (+ 4 x) (* x z)) y)>
#<alt (/ (- (+ 4 x) (* x z)) y)>
#<alt (/ (- (+ 4 x) (* x z)) y)>
#<alt (* -1 (/ (- (* -1 (+ 4 x)) (* -1 (* x z))) y))>
#<alt (* -1 (/ (- (* -1 (+ 4 x)) (* -1 (* x z))) y))>
#<alt (* -1 (/ (- (* -1 (+ 4 x)) (* -1 (* x z))) y))>
#<alt (* -1 (/ (- (* -1 (+ 4 x)) (* -1 (* x z))) y))>
#<alt (+ (* 4 (/ 1 y)) (/ x y))>
#<alt (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))>
#<alt (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))>
#<alt (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* z (- (+ (/ 4 (* y z)) (/ x (* y z))) (/ x y)))>
#<alt (* z (- (+ (/ 4 (* y z)) (/ x (* y z))) (/ x y)))>
#<alt (* z (- (+ (/ 4 (* y z)) (/ x (* y z))) (/ x y)))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (* z (- (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (* -1 (/ x y)))))>
#<alt (* -1 (* z (- (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (* -1 (/ x y)))))>
#<alt (* -1 (* z (- (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (* -1 (/ x y)))))>
#<alt (/ 4 y)>
#<alt (+ (* 4 (/ 1 y)) (/ x y))>
#<alt (+ (* 4 (/ 1 y)) (/ x y))>
#<alt (+ (* 4 (/ 1 y)) (/ x y))>
#<alt (/ x y)>
#<alt (* x (+ (/ 1 y) (* 4 (/ 1 (* x y)))))>
#<alt (* x (+ (/ 1 y) (* 4 (/ 1 (* x y)))))>
#<alt (* x (+ (/ 1 y) (* 4 (/ 1 (* x y)))))>
#<alt (/ x y)>
#<alt (* x (+ (/ 1 y) (* 4 (/ 1 (* x y)))))>
#<alt (* x (+ (/ 1 y) (* 4 (/ 1 (* x y)))))>
#<alt (* x (+ (/ 1 y) (* 4 (/ 1 (* x y)))))>
#<alt (/ (+ 4 x) y)>
#<alt (/ (+ 4 x) y)>
#<alt (/ (+ 4 x) y)>
#<alt (/ (+ 4 x) y)>
#<alt (/ (+ 4 x) y)>
#<alt (/ (+ 4 x) y)>
#<alt (/ (+ 4 x) y)>
#<alt (/ (+ 4 x) y)>
#<alt (/ (+ 4 x) y)>
#<alt (/ (+ 4 x) y)>
#<alt (/ (+ 4 x) y)>
#<alt (/ (+ 4 x) y)>
#<alt 4>
#<alt (+ 4 x)>
#<alt (+ 4 x)>
#<alt (+ 4 x)>
#<alt x>
#<alt (* x (+ 1 (* 4 (/ 1 x))))>
#<alt (* x (+ 1 (* 4 (/ 1 x))))>
#<alt (* x (+ 1 (* 4 (/ 1 x))))>
#<alt x>
#<alt (* x (+ 1 (* 4 (/ 1 x))))>
#<alt (* x (+ 1 (* 4 (/ 1 x))))>
#<alt (* x (+ 1 (* 4 (/ 1 x))))>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
Calls

120 calls:

TimeVariablePointExpression
3.0ms
y
@inf
(/ (- (+ 4 x) (* x z)) y)
0.0ms
x
@-inf
(/ (- (+ 4 x) (* x z)) y)
0.0ms
z
@-inf
(/ (- (+ 4 x) (* x z)) y)
0.0ms
x
@inf
(/ (- (+ 4 x) (* x z)) y)
0.0ms
y
@0
(/ (- (+ 4 x) (* x z)) y)

rewrite404.0ms (3.9%)

Algorithm
batch-egg-rewrite
Rules
3980×/-lowering-/.f32
3980×/-lowering-/.f64
2678×*-lowering-*.f32
2678×*-lowering-*.f64
1464×pow-lowering-pow.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
023115
1178105
2184399
0813199
Stop Event
iter limit
node limit
Counts
18 → 925
Calls
Call 1
Inputs
(fabs (/ (- (+ 4 x) (* x z)) y))
(/ (- (+ 4 x) (* x z)) y)
(- (+ 4 x) (* x z))
(+ 4 x)
(fabs (/ 4 y))
(/ 4 y)
(fabs (+ (/ 4 y) (/ x y)))
(+ (/ 4 y) (/ x y))
(/ x y)
(fabs (- (/ 4 y) (* (/ x y) z)))
(- (/ 4 y) (* (/ x y) z))
(* (/ x y) z)
(fabs (- (/ (+ x 4) y) (* x (/ z y))))
(- (/ (+ x 4) y) (* x (/ z y)))
(/ (+ x 4) y)
(+ x 4)
(* x z)
(* x (/ z y))
Outputs
(fabs.f64 (/.f64 (+.f64 #s(literal 4 binary64) (-.f64 x (*.f64 x z))) y))
(fabs.f64 (/.f64 (+.f64 #s(literal 4 binary64) (-.f64 x (*.f64 x z))) (-.f64 #s(literal 0 binary64) y)))
(fabs.f64 (/.f64 (-.f64 (*.f64 x z) (+.f64 #s(literal 4 binary64) x)) y))
(fabs.f64 (neg.f64 (/.f64 (-.f64 (*.f64 x z) (+.f64 #s(literal 4 binary64) x)) y)))
(fabs.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 (*.f64 x z) (+.f64 #s(literal 4 binary64) x)) y))))
(fabs.f64 (*.f64 (-.f64 (*.f64 x z) (+.f64 #s(literal 4 binary64) x)) (/.f64 #s(literal 1 binary64) y)))
(fabs.f64 (/.f64 (-.f64 (*.f64 x z) (+.f64 #s(literal 4 binary64) x)) (-.f64 #s(literal 0 binary64) y)))
(fabs.f64 (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x z) (*.f64 x (*.f64 z (*.f64 x z)))) (*.f64 y (*.f64 y y))) (+.f64 (/.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y) (/.f64 y (+.f64 #s(literal 4 binary64) x))) (*.f64 (/.f64 x (/.f64 y z)) (+.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y) (/.f64 x (/.f64 y z)))))) (/.f64 (*.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y) (/.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y) (/.f64 y (+.f64 #s(literal 4 binary64) x)))) (+.f64 (/.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y) (/.f64 y (+.f64 #s(literal 4 binary64) x))) (*.f64 (/.f64 x (/.f64 y z)) (+.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y) (/.f64 x (/.f64 y z))))))))
(fabs.f64 (-.f64 (/.f64 (+.f64 #s(literal 4 binary64) (-.f64 x (*.f64 x z))) y) #s(literal 0 binary64)))
(/.f64 (fabs.f64 (+.f64 #s(literal 4 binary64) (-.f64 x (*.f64 x z)))) (fabs.f64 y))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (-.f64 (*.f64 x z) (+.f64 #s(literal 4 binary64) x)))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (+.f64 (/.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y) (/.f64 y (+.f64 #s(literal 4 binary64) x))) (*.f64 (/.f64 x (/.f64 y z)) (+.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y) (/.f64 x (/.f64 y z))))) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 4 binary64) x) (*.f64 (+.f64 #s(literal 4 binary64) x) (+.f64 #s(literal 4 binary64) x))) (*.f64 (*.f64 x z) (*.f64 x (*.f64 z (*.f64 x z))))) (*.f64 y (*.f64 y y))))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (/.f64 y (+.f64 #s(literal 4 binary64) (-.f64 x (*.f64 x z)))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y) (/.f64 x (/.f64 y z))) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 4 binary64) x) (+.f64 #s(literal 4 binary64) x)) (*.f64 x (*.f64 z (*.f64 x z)))) (*.f64 y y)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 (/.f64 y (-.f64 (*.f64 x z) (+.f64 #s(literal 4 binary64) x))))))
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(*.f64 x z)
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(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 (*.f64 x z) (-.f64 #s(literal 0 binary64) y)))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 x z) y)
(/.f64 (-.f64 #s(literal 0 binary64) z) (neg.f64 (/.f64 y x)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (neg.f64 (/.f64 y z)))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x z)) (-.f64 #s(literal 0 binary64) y))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 x z))))
(/.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 y z))
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 y z))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x z))) (neg.f64 (-.f64 #s(literal 0 binary64) y)))
(/.f64 (*.f64 z #s(literal 1 binary64)) (/.f64 y x))
(/.f64 (*.f64 #s(literal 1 binary64) z) (/.f64 y x))
(/.f64 (neg.f64 (*.f64 z #s(literal 1 binary64))) (neg.f64 (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (neg.f64 (/.f64 y z)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 y z)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) z)) (neg.f64 (/.f64 y x)))
(pow.f64 (/.f64 y (*.f64 x z)) #s(literal -1 binary64))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(*.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 x y) z)
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 z y) x)
(*.f64 (/.f64 z y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1 binary64) (/.f64 x (/.f64 y z)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) z) y))
(*.f64 (/.f64 z #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 x y)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) z) #s(literal -1 binary64)) (/.f64 x y))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (/.f64 z y))

simplify216.0ms (2.1%)

Algorithm
egg-herbie
Rules
2432×*-lowering-*.f32
2432×*-lowering-*.f64
1728×fnmsub-define
1132×+-lowering-+.f64
1132×+-lowering-+.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01273192
14322922
210852802
333932802
479882802
080562802
Stop Event
iter limit
node limit
Counts
480 → 480
Calls
Call 1
Inputs
(fabs (/ (- (+ 4 x) (* x z)) y))
(fabs (/ (- (+ 4 x) (* x z)) y))
(fabs (/ (- (+ 4 x) (* x z)) y))
(fabs (/ (- (+ 4 x) (* x z)) y))
(fabs (/ (- (+ 4 x) (* x z)) y))
(fabs (/ (- (+ 4 x) (* x z)) y))
(fabs (/ (- (+ 4 x) (* x z)) y))
(fabs (/ (- (+ 4 x) (* x z)) y))
(fabs (/ (- 4 (+ (* -1 x) (* x z))) y))
(fabs (/ (- 4 (+ (* -1 x) (* x z))) y))
(fabs (/ (- 4 (+ (* -1 x) (* x z))) y))
(fabs (/ (- 4 (+ (* -1 x) (* x z))) y))
(fabs (/ (- (+ 4 x) (* x z)) y))
(fabs (/ (- (+ 4 x) (* x z)) y))
(fabs (/ (- (+ 4 x) (* x z)) y))
(fabs (/ (- (+ 4 x) (* x z)) y))
(fabs (/ (- (+ 4 x) (* x z)) y))
(fabs (/ (- (+ 4 x) (* x z)) y))
(fabs (/ (- (+ 4 x) (* x z)) y))
(fabs (/ (- (+ 4 x) (* x z)) y))
(fabs (/ (- (+ 4 x) (* x z)) y))
(fabs (/ (- (+ 4 x) (* x z)) y))
(fabs (/ (- (+ 4 x) (* x z)) y))
(fabs (/ (- (+ 4 x) (* x z)) y))
(fabs (/ (- (+ 4 x) (* x z)) y))
(fabs (/ (- (+ 4 x) (* x z)) y))
(fabs (/ (- (+ 4 x) (* x z)) y))
(fabs (/ (- (+ 4 x) (* x z)) y))
(fabs (/ (- (+ 4 x) (* x z)) y))
(fabs (/ (- (+ 4 x) (* x z)) y))
(fabs (/ (- (+ 4 x) (* x z)) y))
(fabs (/ (- (+ 4 x) (* x z)) y))
(fabs (/ (- (+ 4 x) (* x z)) y))
(fabs (/ (- (+ 4 x) (* x z)) y))
(fabs (/ (- (+ 4 x) (* x z)) y))
(fabs (/ (- (+ 4 x) (* x z)) y))
(/ 4 y)
(+ (* x (- (/ 1 y) (/ z y))) (* 4 (/ 1 y)))
(+ (* x (- (/ 1 y) (/ z y))) (* 4 (/ 1 y)))
(+ (* x (- (/ 1 y) (/ z y))) (* 4 (/ 1 y)))
(/ (* x (- 1 z)) y)
(* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y)))
(* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y)))
(* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y)))
(/ (* x (+ 1 (* -1 z))) y)
(* -1 (* x (- (* -1 (/ (+ 1 (* -1 z)) y)) (* 4 (/ 1 (* x y))))))
(* -1 (* x (- (* -1 (/ (+ 1 (* -1 z)) y)) (* 4 (/ 1 (* x y))))))
(* -1 (* x (- (* -1 (/ (+ 1 (* -1 z)) y)) (* 4 (/ 1 (* x y))))))
(/ (+ 4 x) y)
(+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))
(+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))
(+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))
(* -1 (/ (* x z) y))
(* z (+ (* -1 (/ x y)) (+ (/ 4 (* y z)) (/ x (* y z)))))
(* z (+ (* -1 (/ x y)) (+ (/ 4 (* y z)) (/ x (* y z)))))
(* z (+ (* -1 (/ x y)) (+ (/ 4 (* y z)) (/ x (* y z)))))
(* -1 (/ (* x z) y))
(* -1 (* z (+ (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (/ x y))))
(* -1 (* z (+ (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (/ x y))))
(* -1 (* z (+ (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (/ x y))))
(/ (- (+ 4 x) (* x z)) y)
(/ (- (+ 4 x) (* x z)) y)
(/ (- (+ 4 x) (* x z)) y)
(/ (- (+ 4 x) (* x z)) y)
(/ (- (+ 4 x) (* x z)) y)
(/ (- (+ 4 x) (* x z)) y)
(/ (- (+ 4 x) (* x z)) y)
(/ (- (+ 4 x) (* x z)) y)
(/ (- (+ 4 x) (* x z)) y)
(/ (- (+ 4 x) (* x z)) y)
(/ (- (+ 4 x) (* x z)) y)
(/ (- (+ 4 x) (* x z)) y)
4
(+ 4 (* x (- 1 z)))
(+ 4 (* x (- 1 z)))
(+ 4 (* x (- 1 z)))
(* x (- 1 z))
(* x (- (+ 1 (* 4 (/ 1 x))) z))
(* x (- (+ 1 (* 4 (/ 1 x))) z))
(* x (- (+ 1 (* 4 (/ 1 x))) z))
(* x (+ 1 (* -1 z)))
(* x (+ 1 (+ (* -1 z) (* 4 (/ 1 x)))))
(* x (+ 1 (+ (* -1 z) (* 4 (/ 1 x)))))
(* x (+ 1 (+ (* -1 z) (* 4 (/ 1 x)))))
(+ 4 x)
(+ 4 (+ x (* -1 (* x z))))
(+ 4 (+ x (* -1 (* x z))))
(+ 4 (+ x (* -1 (* x z))))
(* -1 (* x z))
(* z (- (+ (* 4 (/ 1 z)) (/ x z)) x))
(* z (- (+ (* 4 (/ 1 z)) (/ x z)) x))
(* z (- (+ (* 4 (/ 1 z)) (/ x z)) x))
(* -1 (* x z))
(* -1 (* z (- (* -1 (/ (+ 4 x) z)) (* -1 x))))
(* -1 (* z (- (* -1 (/ (+ 4 x) z)) (* -1 x))))
(* -1 (* z (- (* -1 (/ (+ 4 x) z)) (* -1 x))))
4
(+ 4 x)
(+ 4 x)
(+ 4 x)
x
(* x (+ 1 (* 4 (/ 1 x))))
(* x (+ 1 (* 4 (/ 1 x))))
(* x (+ 1 (* 4 (/ 1 x))))
x
(* x (+ 1 (* 4 (/ 1 x))))
(* x (+ 1 (* 4 (/ 1 x))))
(* x (+ 1 (* 4 (/ 1 x))))
(fabs (/ 4 y))
(fabs (/ 4 y))
(fabs (/ 4 y))
(fabs (/ 4 y))
(fabs (/ 4 y))
(fabs (/ 4 y))
(fabs (/ 4 y))
(fabs (/ 4 y))
(fabs (/ 4 y))
(fabs (/ 4 y))
(fabs (/ 4 y))
(fabs (/ 4 y))
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(fabs (+ (* 4 (/ 1 y)) (/ x y)))
(fabs (+ (* 4 (/ 1 y)) (/ x y)))
(fabs (+ (* 4 (/ 1 y)) (/ x y)))
(fabs (+ (* 4 (/ 1 y)) (/ x y)))
(fabs (+ (* 4 (/ 1 y)) (/ x y)))
(fabs (+ (* 4 (/ 1 y)) (/ x y)))
(fabs (+ (* 4 (/ 1 y)) (/ x y)))
(fabs (+ (* 4 (/ 1 y)) (/ x y)))
(fabs (+ (* 4 (/ 1 y)) (/ x y)))
(fabs (+ (* 4 (/ 1 y)) (/ x y)))
(fabs (+ (* 4 (/ 1 y)) (/ x y)))
(fabs (+ (* 4 (/ 1 y)) (/ x y)))
(fabs (+ (* 4 (/ 1 y)) (/ x y)))
(fabs (+ (* 4 (/ 1 y)) (/ x y)))
(fabs (+ (* 4 (/ 1 y)) (/ x y)))
(fabs (+ (* 4 (/ 1 y)) (/ x y)))
(fabs (+ (* 4 (/ 1 y)) (/ x y)))
(fabs (+ (* 4 (/ 1 y)) (/ x y)))
(fabs (+ (* 4 (/ 1 y)) (/ x y)))
(fabs (+ (* 4 (/ 1 y)) (/ x y)))
(fabs (- (* 4 (/ 1 y)) (* -1 (/ x y))))
(fabs (- (* 4 (/ 1 y)) (* -1 (/ x y))))
(fabs (- (* 4 (/ 1 y)) (* -1 (/ x y))))
(fabs (- (* 4 (/ 1 y)) (* -1 (/ x y))))
(/ (+ 4 x) y)
(/ (+ 4 x) y)
(/ (+ 4 x) y)
(/ (+ 4 x) y)
(/ (+ 4 x) y)
(/ (+ 4 x) y)
(/ (+ 4 x) y)
(/ (+ 4 x) y)
(* -1 (/ (- (* -1 x) 4) y))
(* -1 (/ (- (* -1 x) 4) y))
(* -1 (/ (- (* -1 x) 4) y))
(* -1 (/ (- (* -1 x) 4) y))
(/ 4 y)
(+ (* 4 (/ 1 y)) (/ x y))
(+ (* 4 (/ 1 y)) (/ x y))
(+ (* 4 (/ 1 y)) (/ x y))
(/ x y)
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y)))))
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y)))))
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y)))))
(/ x y)
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y)))))
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y)))))
(* x (+ (/ 1 y) (* 4 (/ 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)
(fabs (- (* 4 (/ 1 y)) (/ (* x z) y)))
(fabs (- (* 4 (/ 1 y)) (/ (* x z) y)))
(fabs (- (* 4 (/ 1 y)) (/ (* x z) y)))
(fabs (- (* 4 (/ 1 y)) (/ (* x z) y)))
(fabs (- (* 4 (/ 1 y)) (/ (* x z) y)))
(fabs (- (* 4 (/ 1 y)) (/ (* x z) y)))
(fabs (- (* 4 (/ 1 y)) (/ (* x z) y)))
(fabs (- (* 4 (/ 1 y)) (/ (* x z) y)))
(fabs (- (* 4 (/ 1 y)) (/ (* x z) y)))
(fabs (- (* 4 (/ 1 y)) (/ (* x z) y)))
(fabs (- (* 4 (/ 1 y)) (/ (* x z) y)))
(fabs (- (* 4 (/ 1 y)) (/ (* x z) y)))
(fabs (- (* 4 (/ 1 y)) (/ (* x z) y)))
(fabs (- (* 4 (/ 1 y)) (/ (* x z) y)))
(fabs (- (* 4 (/ 1 y)) (/ (* x z) y)))
(fabs (- (* 4 (/ 1 y)) (/ (* x z) y)))
(fabs (- (* 4 (/ 1 y)) (/ (* x z) y)))
(fabs (- (* 4 (/ 1 y)) (/ (* x z) y)))
(fabs (- (* 4 (/ 1 y)) (/ (* x z) y)))
(fabs (- (* 4 (/ 1 y)) (/ (* x z) y)))
(fabs (- (* 4 (/ 1 y)) (/ (* x z) y)))
(fabs (- (* 4 (/ 1 y)) (/ (* x z) y)))
(fabs (- (* 4 (/ 1 y)) (/ (* x z) y)))
(fabs (- (* 4 (/ 1 y)) (/ (* x z) y)))
(fabs (- (* 4 (/ 1 y)) (/ (* x z) y)))
(fabs (- (* 4 (/ 1 y)) (/ (* x z) y)))
(fabs (- (* 4 (/ 1 y)) (/ (* x z) y)))
(fabs (- (* 4 (/ 1 y)) (/ (* x z) y)))
(fabs (- (* 4 (/ 1 y)) (/ (* x z) y)))
(fabs (- (* 4 (/ 1 y)) (/ (* x z) y)))
(fabs (- (* 4 (/ 1 y)) (/ (* x z) y)))
(fabs (- (* 4 (/ 1 y)) (/ (* x z) y)))
(fabs (- (* 4 (/ 1 y)) (/ (* x z) y)))
(fabs (- (* 4 (/ 1 y)) (/ (* x z) y)))
(fabs (- (* 4 (/ 1 y)) (/ (* x z) y)))
(fabs (- (* 4 (/ 1 y)) (/ (* x z) y)))
(/ (- 4 (* x z)) y)
(/ (- 4 (* x z)) y)
(/ (- 4 (* x z)) y)
(/ (- 4 (* x z)) y)
(/ (- 4 (* x z)) y)
(/ (- 4 (* x z)) y)
(/ (- 4 (* x z)) y)
(/ (- 4 (* x z)) y)
(/ (+ 4 (* -1 (* x z))) y)
(/ (+ 4 (* -1 (* x z))) y)
(/ (+ 4 (* -1 (* x z))) y)
(/ (+ 4 (* -1 (* x z))) y)
(/ 4 y)
(+ (* -1 (/ (* x z) y)) (* 4 (/ 1 y)))
(+ (* -1 (/ (* x z) y)) (* 4 (/ 1 y)))
(+ (* -1 (/ (* x z) y)) (* 4 (/ 1 y)))
(* -1 (/ (* x z) y))
(* x (- (* 4 (/ 1 (* x y))) (/ z y)))
(* x (- (* 4 (/ 1 (* x y))) (/ z y)))
(* x (- (* 4 (/ 1 (* x y))) (/ z y)))
(* -1 (/ (* x z) y))
(* x (+ (* -1 (/ z y)) (* 4 (/ 1 (* x y)))))
(* x (+ (* -1 (/ z y)) (* 4 (/ 1 (* x y)))))
(* x (+ (* -1 (/ z y)) (* 4 (/ 1 (* x y)))))
(/ 4 y)
(+ (* -1 (/ (* x z) y)) (* 4 (/ 1 y)))
(+ (* -1 (/ (* x z) y)) (* 4 (/ 1 y)))
(+ (* -1 (/ (* x z) y)) (* 4 (/ 1 y)))
(* -1 (/ (* x z) y))
(* z (- (* 4 (/ 1 (* y z))) (/ x y)))
(* z (- (* 4 (/ 1 (* y z))) (/ x y)))
(* z (- (* 4 (/ 1 (* y z))) (/ x y)))
(* -1 (/ (* x z) y))
(* z (+ (* -1 (/ x y)) (* 4 (/ 1 (* y z)))))
(* z (+ (* -1 (/ x y)) (* 4 (/ 1 (* y z)))))
(* z (+ (* -1 (/ x y)) (* 4 (/ 1 (* y z)))))
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))
(fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y))))
(fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y))))
(fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y))))
(fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y))))
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))
(/ 4 y)
(+ (* x (- (/ 1 y) (/ z y))) (* 4 (/ 1 y)))
(+ (* x (- (/ 1 y) (/ z y))) (* 4 (/ 1 y)))
(+ (* x (- (/ 1 y) (/ z y))) (* 4 (/ 1 y)))
(* x (- (/ 1 y) (/ z y)))
(* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y)))
(* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y)))
(* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y)))
(* x (+ (* -1 (/ z y)) (/ 1 y)))
(* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y))))))
(* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y))))))
(* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y))))))
(/ (- (+ 4 x) (* x z)) y)
(/ (- (+ 4 x) (* x z)) y)
(/ (- (+ 4 x) (* x z)) y)
(/ (- (+ 4 x) (* x z)) y)
(/ (- (+ 4 x) (* x z)) y)
(/ (- (+ 4 x) (* x z)) y)
(/ (- (+ 4 x) (* x z)) y)
(/ (- (+ 4 x) (* x z)) y)
(* -1 (/ (- (* -1 (+ 4 x)) (* -1 (* x z))) y))
(* -1 (/ (- (* -1 (+ 4 x)) (* -1 (* x z))) y))
(* -1 (/ (- (* -1 (+ 4 x)) (* -1 (* x z))) y))
(* -1 (/ (- (* -1 (+ 4 x)) (* -1 (* x z))) y))
(+ (* 4 (/ 1 y)) (/ x y))
(+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))
(+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))
(+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))
(* -1 (/ (* x z) y))
(* z (- (+ (/ 4 (* y z)) (/ x (* y z))) (/ x y)))
(* z (- (+ (/ 4 (* y z)) (/ x (* y z))) (/ x y)))
(* z (- (+ (/ 4 (* y z)) (/ x (* y z))) (/ x y)))
(* -1 (/ (* x z) y))
(* -1 (* z (- (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (* -1 (/ x y)))))
(* -1 (* z (- (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (* -1 (/ x y)))))
(* -1 (* z (- (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (* -1 (/ x y)))))
(/ 4 y)
(+ (* 4 (/ 1 y)) (/ x y))
(+ (* 4 (/ 1 y)) (/ x y))
(+ (* 4 (/ 1 y)) (/ x y))
(/ x y)
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y)))))
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y)))))
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y)))))
(/ x y)
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y)))))
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y)))))
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y)))))
(/ (+ 4 x) y)
(/ (+ 4 x) y)
(/ (+ 4 x) y)
(/ (+ 4 x) y)
(/ (+ 4 x) y)
(/ (+ 4 x) y)
(/ (+ 4 x) y)
(/ (+ 4 x) y)
(/ (+ 4 x) y)
(/ (+ 4 x) y)
(/ (+ 4 x) y)
(/ (+ 4 x) y)
4
(+ 4 x)
(+ 4 x)
(+ 4 x)
x
(* x (+ 1 (* 4 (/ 1 x))))
(* x (+ 1 (* 4 (/ 1 x))))
(* x (+ 1 (* 4 (/ 1 x))))
x
(* x (+ 1 (* 4 (/ 1 x))))
(* x (+ 1 (* 4 (/ 1 x))))
(* x (+ 1 (* 4 (/ 1 x))))
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
Outputs
(fabs (/ (- (+ 4 x) (* x z)) y))
(fabs.f64 (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) z))) y))
(fabs (/ (- (+ 4 x) (* x z)) y))
(fabs.f64 (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) z))) y))
(fabs (/ (- (+ 4 x) (* x z)) y))
(fabs.f64 (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) z))) y))
(fabs (/ (- (+ 4 x) (* x z)) y))
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(+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))
(/.f64 (+.f64 #s(literal 4 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) z))) y)
(+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))
(/.f64 (+.f64 #s(literal 4 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) z))) y)
(+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))
(/.f64 (+.f64 #s(literal 4 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) z))) y)
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (*.f64 z (/.f64 x y)))
(* z (- (+ (/ 4 (* y z)) (/ x (* y z))) (/ x y)))
(/.f64 (+.f64 #s(literal 4 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) z))) y)
(* z (- (+ (/ 4 (* y z)) (/ x (* y z))) (/ x y)))
(/.f64 (+.f64 #s(literal 4 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) z))) y)
(* z (- (+ (/ 4 (* y z)) (/ x (* y z))) (/ x y)))
(/.f64 (+.f64 #s(literal 4 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) z))) y)
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (*.f64 z (/.f64 x y)))
(* -1 (* z (- (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (* -1 (/ x y)))))
(/.f64 (+.f64 #s(literal 4 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) z))) y)
(* -1 (* z (- (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (* -1 (/ x y)))))
(/.f64 (+.f64 #s(literal 4 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) z))) y)
(* -1 (* z (- (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (* -1 (/ x y)))))
(/.f64 (+.f64 #s(literal 4 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) z))) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(+ (* 4 (/ 1 y)) (/ x y))
(/.f64 (+.f64 #s(literal 4 binary64) x) y)
(+ (* 4 (/ 1 y)) (/ x y))
(/.f64 (+.f64 #s(literal 4 binary64) x) y)
(+ (* 4 (/ 1 y)) (/ x y))
(/.f64 (+.f64 #s(literal 4 binary64) x) y)
(/ x y)
(/.f64 x y)
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y)))))
(/.f64 (+.f64 #s(literal 4 binary64) x) y)
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y)))))
(/.f64 (+.f64 #s(literal 4 binary64) x) y)
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y)))))
(/.f64 (+.f64 #s(literal 4 binary64) x) y)
(/ x y)
(/.f64 x y)
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y)))))
(/.f64 (+.f64 #s(literal 4 binary64) x) y)
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y)))))
(/.f64 (+.f64 #s(literal 4 binary64) x) y)
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y)))))
(/.f64 (+.f64 #s(literal 4 binary64) x) y)
(/ (+ 4 x) y)
(/.f64 (+.f64 #s(literal 4 binary64) x) y)
(/ (+ 4 x) y)
(/.f64 (+.f64 #s(literal 4 binary64) x) y)
(/ (+ 4 x) y)
(/.f64 (+.f64 #s(literal 4 binary64) x) y)
(/ (+ 4 x) y)
(/.f64 (+.f64 #s(literal 4 binary64) x) y)
(/ (+ 4 x) y)
(/.f64 (+.f64 #s(literal 4 binary64) x) y)
(/ (+ 4 x) y)
(/.f64 (+.f64 #s(literal 4 binary64) x) y)
(/ (+ 4 x) y)
(/.f64 (+.f64 #s(literal 4 binary64) x) y)
(/ (+ 4 x) y)
(/.f64 (+.f64 #s(literal 4 binary64) x) y)
(/ (+ 4 x) y)
(/.f64 (+.f64 #s(literal 4 binary64) x) y)
(/ (+ 4 x) y)
(/.f64 (+.f64 #s(literal 4 binary64) x) y)
(/ (+ 4 x) y)
(/.f64 (+.f64 #s(literal 4 binary64) x) y)
(/ (+ 4 x) y)
(/.f64 (+.f64 #s(literal 4 binary64) x) y)
4
#s(literal 4 binary64)
(+ 4 x)
(+.f64 #s(literal 4 binary64) x)
(+ 4 x)
(+.f64 #s(literal 4 binary64) x)
(+ 4 x)
(+.f64 #s(literal 4 binary64) x)
x
(* x (+ 1 (* 4 (/ 1 x))))
(+.f64 #s(literal 4 binary64) x)
(* x (+ 1 (* 4 (/ 1 x))))
(+.f64 #s(literal 4 binary64) x)
(* x (+ 1 (* 4 (/ 1 x))))
(+.f64 #s(literal 4 binary64) x)
x
(* x (+ 1 (* 4 (/ 1 x))))
(+.f64 #s(literal 4 binary64) x)
(* x (+ 1 (* 4 (/ 1 x))))
(+.f64 #s(literal 4 binary64) x)
(* x (+ 1 (* 4 (/ 1 x))))
(+.f64 #s(literal 4 binary64) x)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(/ (* x z) y)
(*.f64 z (/.f64 x y))
(/ (* x z) y)
(*.f64 z (/.f64 x y))
(/ (* x z) y)
(*.f64 z (/.f64 x y))
(/ (* x z) y)
(*.f64 z (/.f64 x y))
(/ (* x z) y)
(*.f64 z (/.f64 x y))
(/ (* x z) y)
(*.f64 z (/.f64 x y))
(/ (* x z) y)
(*.f64 z (/.f64 x y))
(/ (* x z) y)
(*.f64 z (/.f64 x y))
(/ (* x z) y)
(*.f64 z (/.f64 x y))
(/ (* x z) y)
(*.f64 z (/.f64 x y))
(/ (* x z) y)
(*.f64 z (/.f64 x y))
(/ (* x z) y)
(*.f64 z (/.f64 x y))
(/ (* x z) y)
(*.f64 z (/.f64 x y))
(/ (* x z) y)
(*.f64 z (/.f64 x y))
(/ (* x z) y)
(*.f64 z (/.f64 x y))
(/ (* x z) y)
(*.f64 z (/.f64 x y))
(/ (* x z) y)
(*.f64 z (/.f64 x y))
(/ (* x z) y)
(*.f64 z (/.f64 x y))
(/ (* x z) y)
(*.f64 z (/.f64 x y))
(/ (* x z) y)
(*.f64 z (/.f64 x y))
(/ (* x z) y)
(*.f64 z (/.f64 x y))
(/ (* x z) y)
(*.f64 z (/.f64 x y))
(/ (* x z) y)
(*.f64 z (/.f64 x y))
(/ (* x z) y)
(*.f64 z (/.f64 x y))
(/ (* x z) y)
(*.f64 z (/.f64 x y))
(/ (* x z) y)
(*.f64 z (/.f64 x y))
(/ (* x z) y)
(*.f64 z (/.f64 x y))
(/ (* x z) y)
(*.f64 z (/.f64 x y))
(/ (* x z) y)
(*.f64 z (/.f64 x y))
(/ (* x z) y)
(*.f64 z (/.f64 x y))
(/ (* x z) y)
(*.f64 z (/.f64 x y))
(/ (* x z) y)
(*.f64 z (/.f64 x y))
(/ (* x z) y)
(*.f64 z (/.f64 x y))
(/ (* x z) y)
(*.f64 z (/.f64 x y))
(/ (* x z) y)
(*.f64 z (/.f64 x y))
(/ (* x z) y)
(*.f64 z (/.f64 x y))

eval308.0ms (2.9%)

Compiler

Compiled 26926 to 2476 computations (90.8% saved)

prune232.0ms (2.2%)

Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New150081508
Fresh505
Picked235
Done000
Total1507111518
Accuracy
100.0%
Counts
1518 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.1%
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (-.f64 (*.f64 x z) (+.f64 #s(literal 4 binary64) x)))))
63.6%
(fabs.f64 (/.f64 (/.f64 (+.f64 (*.f64 #s(literal 4 binary64) y) (*.f64 x y)) y) y))
69.7%
(fabs.f64 (/.f64 (-.f64 (*.f64 x z) #s(literal 4 binary64)) y))
61.3%
(fabs.f64 (/.f64 (-.f64 x (*.f64 x z)) y))
68.6%
(fabs.f64 (/.f64 (-.f64 #s(literal -4 binary64) x) y))
34.0%
(fabs.f64 (/.f64 x y))
37.9%
(fabs.f64 (/.f64 #s(literal 4 binary64) y))
60.9%
(fabs.f64 (-.f64 (/.f64 x y) (*.f64 x (/.f64 z y))))
75.9%
(fabs.f64 (-.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (/.f64 x y) z)))
42.2%
(fabs.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (/.f64 x y))))
68.6%
(fabs.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 x y)))
Compiler

Compiled 215 to 151 computations (29.8% saved)

simplify148.0ms (1.4%)

Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff128
(+.f64 (*.f64 #s(literal 4 binary64) y) (*.f64 x y))
cost-diff384
(/.f64 (+.f64 (*.f64 #s(literal 4 binary64) y) (*.f64 x y)) y)
cost-diff384
(/.f64 (/.f64 (+.f64 (*.f64 #s(literal 4 binary64) y) (*.f64 x y)) y) y)
cost-diff384
(fabs.f64 (/.f64 (/.f64 (+.f64 (*.f64 #s(literal 4 binary64) y) (*.f64 x y)) y) y))
cost-diff0
(*.f64 x z)
cost-diff0
(-.f64 (*.f64 x z) #s(literal 4 binary64))
cost-diff0
(/.f64 (-.f64 (*.f64 x z) #s(literal 4 binary64)) y)
cost-diff0
(fabs.f64 (/.f64 (-.f64 (*.f64 x z) #s(literal 4 binary64)) y))
cost-diff0
(/.f64 x y)
cost-diff0
(*.f64 z (/.f64 x y))
cost-diff0
(-.f64 #s(literal 0 binary64) (*.f64 z (/.f64 x y)))
cost-diff128
(fabs.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (/.f64 x y))))
cost-diff0
(/.f64 x y)
cost-diff0
(fabs.f64 (/.f64 x y))
cost-diff0
(-.f64 (*.f64 x z) (+.f64 #s(literal 4 binary64) x))
cost-diff0
(/.f64 y (-.f64 (*.f64 x z) (+.f64 #s(literal 4 binary64) x)))
cost-diff0
(fabs.f64 (/.f64 y (-.f64 (*.f64 x z) (+.f64 #s(literal 4 binary64) x))))
cost-diff0
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (-.f64 (*.f64 x z) (+.f64 #s(literal 4 binary64) x)))))
Rules
2118×sum3-define
2004×sum5-define
1790×*-lowering-*.f32
1790×*-lowering-*.f64
1788×sum4-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
026138
170137
2142133
3302129
4582129
51455129
65333129
08279129
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ 1 (fabs (/ y (- (* x z) (+ 4 x)))))
1
(fabs (/ y (- (* x z) (+ 4 x))))
(/ y (- (* x z) (+ 4 x)))
y
(- (* x z) (+ 4 x))
(* x z)
x
z
(+ 4 x)
4
(fabs (/ x y))
(/ x y)
x
y
(fabs (- 0 (* z (/ x y))))
(- 0 (* z (/ x y)))
0
(* z (/ x y))
z
(/ x y)
x
y
(fabs (/ (- (* x z) 4) y))
(/ (- (* x z) 4) y)
(- (* x z) 4)
(* x z)
x
z
4
y
(fabs (/ (/ (+ (* 4 y) (* x y)) y) y))
(/ (/ (+ (* 4 y) (* x y)) y) y)
(/ (+ (* 4 y) (* x y)) y)
(+ (* 4 y) (* x y))
(* 4 y)
4
y
(* x y)
x
Outputs
(/ 1 (fabs (/ y (- (* x z) (+ 4 x)))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (-.f64 #s(literal 4 binary64) (*.f64 x (+.f64 z #s(literal -1 binary64)))))))
1
#s(literal 1 binary64)
(fabs (/ y (- (* x z) (+ 4 x))))
(fabs.f64 (/.f64 y (-.f64 #s(literal 4 binary64) (*.f64 x (+.f64 z #s(literal -1 binary64))))))
(/ y (- (* x z) (+ 4 x)))
(/.f64 y (+.f64 #s(literal -4 binary64) (*.f64 x (+.f64 z #s(literal -1 binary64)))))
y
(- (* x z) (+ 4 x))
(+.f64 #s(literal -4 binary64) (*.f64 x (+.f64 z #s(literal -1 binary64))))
(* x z)
(*.f64 x z)
x
z
(+ 4 x)
(+.f64 x #s(literal 4 binary64))
4
#s(literal 4 binary64)
(fabs (/ x y))
(fabs.f64 (/.f64 x y))
(/ x y)
(/.f64 x y)
x
y
(fabs (- 0 (* z (/ x y))))
(fabs.f64 (*.f64 z (/.f64 x y)))
(- 0 (* z (/ x y)))
(-.f64 #s(literal 0 binary64) (*.f64 z (/.f64 x y)))
0
#s(literal 0 binary64)
(* z (/ x y))
(*.f64 z (/.f64 x y))
z
(/ x y)
(/.f64 x y)
x
y
(fabs (/ (- (* x z) 4) y))
(fabs.f64 (/.f64 (+.f64 (*.f64 x z) #s(literal -4 binary64)) y))
(/ (- (* x z) 4) y)
(/.f64 (+.f64 (*.f64 x z) #s(literal -4 binary64)) y)
(- (* x z) 4)
(+.f64 (*.f64 x z) #s(literal -4 binary64))
(* x z)
(*.f64 x z)
x
z
4
#s(literal 4 binary64)
y
(fabs (/ (/ (+ (* 4 y) (* x y)) y) y))
(fabs.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y))
(/ (/ (+ (* 4 y) (* x y)) y) y)
(/.f64 (+.f64 x #s(literal 4 binary64)) y)
(/ (+ (* 4 y) (* x y)) y)
(+.f64 x #s(literal 4 binary64))
(+ (* 4 y) (* x y))
(*.f64 y (+.f64 x #s(literal 4 binary64)))
(* 4 y)
(*.f64 y #s(literal 4 binary64))
4
#s(literal 4 binary64)
y
(* x y)
(*.f64 y x)
x

localize101.0ms (1%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(fabs.f64 (/.f64 (/.f64 (+.f64 (*.f64 #s(literal 4 binary64) y) (*.f64 x y)) y) y))
accuracy100.0%
(/.f64 (/.f64 (+.f64 (*.f64 #s(literal 4 binary64) y) (*.f64 x y)) y) y)
accuracy99.6%
(+.f64 (*.f64 #s(literal 4 binary64) y) (*.f64 x y))
accuracy88.5%
(/.f64 (+.f64 (*.f64 #s(literal 4 binary64) y) (*.f64 x y)) y)
accuracy100.0%
(-.f64 (*.f64 x z) #s(literal 4 binary64))
accuracy100.0%
(*.f64 x z)
accuracy100.0%
(fabs.f64 (/.f64 (-.f64 (*.f64 x z) #s(literal 4 binary64)) y))
accuracy96.2%
(/.f64 (-.f64 (*.f64 x z) #s(literal 4 binary64)) y)
accuracy100.0%
(/.f64 x y)
accuracy100.0%
(-.f64 #s(literal 0 binary64) (*.f64 z (/.f64 x y)))
accuracy100.0%
(fabs.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (/.f64 x y))))
accuracy93.0%
(*.f64 z (/.f64 x y))
accuracy100.0%
(/.f64 x y)
accuracy100.0%
(fabs.f64 (/.f64 x y))
accuracy100.0%
(fabs.f64 (/.f64 y (-.f64 (*.f64 x z) (+.f64 #s(literal 4 binary64) x))))
accuracy100.0%
(-.f64 (*.f64 x z) (+.f64 #s(literal 4 binary64) x))
accuracy99.8%
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (-.f64 (*.f64 x z) (+.f64 #s(literal 4 binary64) x)))))
accuracy95.9%
(/.f64 y (-.f64 (*.f64 x z) (+.f64 #s(literal 4 binary64) x)))
Results
66.0ms256×0valid
Compiler

Compiled 164 to 27 computations (83.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-div: 10.0ms (31.7% of total)
ival-mult: 8.0ms (25.4% of total)
ival-fabs: 7.0ms (22.2% of total)
ival-sub: 4.0ms (12.7% of total)
ival-add: 3.0ms (9.5% of total)
const: 1.0ms (3.2% of total)
backward-pass: 0.0ms (0% of total)

series31.0ms (0.3%)

Counts
17 → 504
Calls
Call 1
Inputs
#<alt (/ 1 (fabs (/ y (- (* x z) (+ 4 x)))))>
#<alt (fabs (/ y (- (* x z) (+ 4 x))))>
#<alt (/ y (- (* x z) (+ 4 x)))>
#<alt (- (* x z) (+ 4 x))>
#<alt (fabs (/ x y))>
#<alt (/ x y)>
#<alt (fabs (- 0 (* z (/ x y))))>
#<alt (- 0 (* z (/ x y)))>
#<alt (* z (/ x y))>
#<alt (fabs (/ (- (* x z) 4) y))>
#<alt (/ (- (* x z) 4) y)>
#<alt (- (* x z) 4)>
#<alt (* x z)>
#<alt (fabs (/ (/ (+ (* 4 y) (* x y)) y) y))>
#<alt (/ (/ (+ (* 4 y) (* x y)) y) y)>
#<alt (/ (+ (* 4 y) (* x y)) y)>
#<alt (+ (* 4 y) (* x y))>
Outputs
#<alt (/ 1 (fabs (/ y (- (* x z) (+ 4 x)))))>
#<alt (/ 1 (fabs (/ y (- (* x z) (+ 4 x)))))>
#<alt (/ 1 (fabs (/ y (- (* x z) (+ 4 x)))))>
#<alt (/ 1 (fabs (/ y (- (* x z) (+ 4 x)))))>
#<alt (/ 1 (fabs (/ y (- (* x z) (+ 4 x)))))>
#<alt (/ 1 (fabs (/ y (- (* x z) (+ 4 x)))))>
#<alt (/ 1 (fabs (/ y (- (* x z) (+ 4 x)))))>
#<alt (/ 1 (fabs (/ y (- (* x z) (+ 4 x)))))>
#<alt (/ 1 (fabs (/ y (- (* x z) (+ 4 x)))))>
#<alt (/ 1 (fabs (/ y (- (* x z) (+ 4 x)))))>
#<alt (/ 1 (fabs (/ y (- (* x z) (+ 4 x)))))>
#<alt (/ 1 (fabs (/ y (- (* x z) (+ 4 x)))))>
#<alt (/ 1 (fabs (/ y (- (* x z) (+ 4 x)))))>
#<alt (/ 1 (fabs (/ y (- (* x z) (+ 4 x)))))>
#<alt (/ 1 (fabs (/ y (- (* x z) (+ 4 x)))))>
#<alt (/ 1 (fabs (/ y (- (* x z) (+ 4 x)))))>
#<alt (/ 1 (fabs (/ y (- (* x z) (+ 4 x)))))>
#<alt (/ 1 (fabs (/ y (- (* x z) (+ 4 x)))))>
#<alt (/ 1 (fabs (/ y (- (* x z) (+ 4 x)))))>
#<alt (/ 1 (fabs (/ y (- (* x z) (+ 4 x)))))>
#<alt (/ 1 (fabs (/ y (- (+ (* -1 x) (* x z)) 4))))>
#<alt (/ 1 (fabs (/ y (- (+ (* -1 x) (* x z)) 4))))>
#<alt (/ 1 (fabs (/ y (- (+ (* -1 x) (* x z)) 4))))>
#<alt (/ 1 (fabs (/ y (- (+ (* -1 x) (* x z)) 4))))>
#<alt (/ 1 (fabs (/ y (- (* x z) (+ 4 x)))))>
#<alt (/ 1 (fabs (/ y (- (* x z) (+ 4 x)))))>
#<alt (/ 1 (fabs (/ y (- (* x z) (+ 4 x)))))>
#<alt (/ 1 (fabs (/ y (- (* x z) (+ 4 x)))))>
#<alt (/ 1 (fabs (/ y (- (* x z) (+ 4 x)))))>
#<alt (/ 1 (fabs (/ y (- (* x z) (+ 4 x)))))>
#<alt (/ 1 (fabs (/ y (- (* x z) (+ 4 x)))))>
#<alt (/ 1 (fabs (/ y (- (* x z) (+ 4 x)))))>
#<alt (/ 1 (fabs (/ y (- (* x z) (+ 4 x)))))>
#<alt (/ 1 (fabs (/ y (- (* x z) (+ 4 x)))))>
#<alt (/ 1 (fabs (/ y (- (* x z) (+ 4 x)))))>
#<alt (/ 1 (fabs (/ y (- (* x z) (+ 4 x)))))>
#<alt (fabs (/ y (- (* x z) (+ 4 x))))>
#<alt (fabs (/ y (- (* x z) (+ 4 x))))>
#<alt (fabs (/ y (- (* x z) (+ 4 x))))>
#<alt (fabs (/ y (- (* x z) (+ 4 x))))>
#<alt (fabs (/ y (- (* x z) (+ 4 x))))>
#<alt (fabs (/ y (- (* x z) (+ 4 x))))>
#<alt (fabs (/ y (- (* x z) (+ 4 x))))>
#<alt (fabs (/ y (- (* x z) (+ 4 x))))>
#<alt (fabs (/ y (- (* x z) (+ 4 x))))>
#<alt (fabs (/ y (- (* x z) (+ 4 x))))>
#<alt (fabs (/ y (- (* x z) (+ 4 x))))>
#<alt (fabs (/ y (- (* x z) (+ 4 x))))>
#<alt (fabs (/ y (- (* x z) (+ 4 x))))>
#<alt (fabs (/ y (- (* x z) (+ 4 x))))>
#<alt (fabs (/ y (- (* x z) (+ 4 x))))>
#<alt (fabs (/ y (- (* x z) (+ 4 x))))>
#<alt (fabs (/ y (- (* x z) (+ 4 x))))>
#<alt (fabs (/ y (- (* x z) (+ 4 x))))>
#<alt (fabs (/ y (- (* x z) (+ 4 x))))>
#<alt (fabs (/ y (- (* x z) (+ 4 x))))>
#<alt (fabs (/ y (- (+ (* -1 x) (* x z)) 4)))>
#<alt (fabs (/ y (- (+ (* -1 x) (* x z)) 4)))>
#<alt (fabs (/ y (- (+ (* -1 x) (* x z)) 4)))>
#<alt (fabs (/ y (- (+ (* -1 x) (* x z)) 4)))>
#<alt (fabs (/ y (- (* x z) (+ 4 x))))>
#<alt (fabs (/ y (- (* x z) (+ 4 x))))>
#<alt (fabs (/ y (- (* x z) (+ 4 x))))>
#<alt (fabs (/ y (- (* x z) (+ 4 x))))>
#<alt (fabs (/ y (- (* x z) (+ 4 x))))>
#<alt (fabs (/ y (- (* x z) (+ 4 x))))>
#<alt (fabs (/ y (- (* x z) (+ 4 x))))>
#<alt (fabs (/ y (- (* x z) (+ 4 x))))>
#<alt (fabs (/ y (- (* x z) (+ 4 x))))>
#<alt (fabs (/ y (- (* x z) (+ 4 x))))>
#<alt (fabs (/ y (- (* x z) (+ 4 x))))>
#<alt (fabs (/ y (- (* x z) (+ 4 x))))>
#<alt (/ y (- (* x z) (+ 4 x)))>
#<alt (/ y (- (* x z) (+ 4 x)))>
#<alt (/ y (- (* x z) (+ 4 x)))>
#<alt (/ y (- (* x z) (+ 4 x)))>
#<alt (/ y (- (* x z) (+ 4 x)))>
#<alt (/ y (- (* x z) (+ 4 x)))>
#<alt (/ y (- (* x z) (+ 4 x)))>
#<alt (/ y (- (* x z) (+ 4 x)))>
#<alt (/ y (- (* x z) (+ 4 x)))>
#<alt (/ y (- (* x z) (+ 4 x)))>
#<alt (/ y (- (* x z) (+ 4 x)))>
#<alt (/ y (- (* x z) (+ 4 x)))>
#<alt (* -1/4 y)>
#<alt (+ (* -1/4 y) (* -1/16 (* x (* y (- z 1)))))>
#<alt (+ (* -1/4 y) (* x (- (* -1/64 (* x (* y (pow (- z 1) 2)))) (* 1/16 (* y (- z 1))))))>
#<alt (+ (* -1/4 y) (* x (- (* x (- (* -1/256 (* x (* y (pow (- z 1) 3)))) (* 1/64 (* y (pow (- z 1) 2))))) (* 1/16 (* y (- z 1))))))>
#<alt (/ y (* x (- z 1)))>
#<alt (/ (+ (* 4 (/ y (* x (pow (- z 1) 2)))) (/ y (- z 1))) x)>
#<alt (/ (- (+ (* 16 (/ y (* (pow x 2) (pow (- z 1) 3)))) (/ y (- z 1))) (* -4 (/ y (* x (pow (- z 1) 2))))) x)>
#<alt (/ (- (+ (* 64 (/ y (* (pow x 3) (pow (- z 1) 4)))) (/ y (- z 1))) (+ (* -16 (/ y (* (pow x 2) (pow (- z 1) 3)))) (* -4 (/ y (* x (pow (- z 1) 2)))))) x)>
#<alt (* -1 (/ y (* x (+ 1 (* -1 z)))))>
#<alt (* -1 (/ (+ (* -4 (/ y (* x (pow (+ 1 (* -1 z)) 2)))) (/ y (+ 1 (* -1 z)))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -16 (/ y (* x (pow (+ 1 (* -1 z)) 3)))) (* -4 (/ y (pow (+ 1 (* -1 z)) 2)))) x)) (/ y (+ 1 (* -1 z)))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -64 (/ y (* x (pow (+ 1 (* -1 z)) 4)))) (* -16 (/ y (pow (+ 1 (* -1 z)) 3)))) x)) (* -4 (/ y (pow (+ 1 (* -1 z)) 2)))) x)) (/ y (+ 1 (* -1 z)))) x))>
#<alt (* -1 (/ y (+ 4 x)))>
#<alt (+ (* -1 (/ y (+ 4 x))) (* -1 (/ (* x (* y z)) (pow (+ 4 x) 2))))>
#<alt (+ (* -1 (/ y (+ 4 x))) (* z (- (* -1 (/ (* (pow x 2) (* y z)) (pow (+ 4 x) 3))) (/ (* x y) (pow (+ 4 x) 2)))))>
#<alt (+ (* -1 (/ y (+ 4 x))) (* z (- (* z (- (* -1 (/ (* (pow x 3) (* y z)) (pow (+ 4 x) 4))) (/ (* (pow x 2) y) (pow (+ 4 x) 3)))) (/ (* x y) (pow (+ 4 x) 2)))))>
#<alt (/ y (* x z))>
#<alt (/ (+ (/ y x) (/ (* y (+ 4 x)) (* (pow x 2) z))) z)>
#<alt (/ (- (+ (/ y x) (/ (* y (pow (+ 4 x) 2)) (* (pow x 3) (pow z 2)))) (* -1 (/ (* y (+ 4 x)) (* (pow x 2) z)))) z)>
#<alt (/ (- (+ (/ y x) (/ (* y (pow (+ 4 x) 3)) (* (pow x 4) (pow z 3)))) (+ (* -1 (/ (* y (+ 4 x)) (* (pow x 2) z))) (* -1 (/ (* y (pow (+ 4 x) 2)) (* (pow x 3) (pow z 2)))))) z)>
#<alt (/ y (* x z))>
#<alt (* -1 (/ (+ (* -1 (/ y x)) (* -1 (/ (* y (+ 4 x)) (* (pow x 2) z)))) z))>
#<alt (* -1 (/ (+ (* -1 (/ y x)) (* -1 (/ (- (/ (* y (pow (+ 4 x) 2)) (* (pow x 3) z)) (* -1 (/ (* y (+ 4 x)) (pow x 2)))) z))) z))>
#<alt (* -1 (/ (+ (* -1 (/ y x)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* y (pow (+ 4 x) 3)) (* (pow x 4) z))) (/ (* y (pow (+ 4 x) 2)) (pow x 3))) z)) (* -1 (/ (* y (+ 4 x)) (pow x 2)))) z))) z))>
#<alt -4>
#<alt (- (* x (- z 1)) 4)>
#<alt (- (* x (- z 1)) 4)>
#<alt (- (* x (- z 1)) 4)>
#<alt (* x (- z 1))>
#<alt (* x (- z (+ 1 (* 4 (/ 1 x)))))>
#<alt (* x (- z (+ 1 (* 4 (/ 1 x)))))>
#<alt (* x (- z (+ 1 (* 4 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1 (* -1 z))))>
#<alt (* -1 (* x (+ 1 (+ (* -1 z) (* 4 (/ 1 x))))))>
#<alt (* -1 (* x (+ 1 (+ (* -1 z) (* 4 (/ 1 x))))))>
#<alt (* -1 (* x (+ 1 (+ (* -1 z) (* 4 (/ 1 x))))))>
#<alt (* -1 (+ 4 x))>
#<alt (- (* x z) (+ 4 x))>
#<alt (- (* x z) (+ 4 x))>
#<alt (- (* x z) (+ 4 x))>
#<alt (* x z)>
#<alt (* z (+ x (* -1 (/ (+ 4 x) z))))>
#<alt (* z (+ x (* -1 (/ (+ 4 x) z))))>
#<alt (* z (+ x (* -1 (/ (+ 4 x) z))))>
#<alt (* x z)>
#<alt (* -1 (* z (+ (* -1 x) (+ (* 4 (/ 1 z)) (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 x) (+ (* 4 (/ 1 z)) (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 x) (+ (* 4 (/ 1 z)) (/ x z)))))>
#<alt (fabs (/ x y))>
#<alt (fabs (/ x y))>
#<alt (fabs (/ x y))>
#<alt (fabs (/ x y))>
#<alt (fabs (/ x y))>
#<alt (fabs (/ x y))>
#<alt (fabs (/ x y))>
#<alt (fabs (/ x y))>
#<alt (fabs (/ x y))>
#<alt (fabs (/ x y))>
#<alt (fabs (/ x y))>
#<alt (fabs (/ x y))>
#<alt (fabs (/ x y))>
#<alt (fabs (/ x y))>
#<alt (fabs (/ x y))>
#<alt (fabs (/ x y))>
#<alt (fabs (/ x y))>
#<alt (fabs (/ x y))>
#<alt (fabs (/ x y))>
#<alt (fabs (/ x y))>
#<alt (fabs (/ x y))>
#<alt (fabs (/ x y))>
#<alt (fabs (/ x y))>
#<alt (fabs (/ 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)>
#<alt (fabs (neg (/ (* x z) y)))>
#<alt (fabs (neg (/ (* x z) y)))>
#<alt (fabs (neg (/ (* x z) y)))>
#<alt (fabs (neg (/ (* x z) y)))>
#<alt (fabs (neg (/ (* x z) y)))>
#<alt (fabs (neg (/ (* x z) y)))>
#<alt (fabs (neg (/ (* x z) y)))>
#<alt (fabs (neg (/ (* x z) y)))>
#<alt (fabs (neg (/ (* x z) y)))>
#<alt (fabs (neg (/ (* x z) y)))>
#<alt (fabs (neg (/ (* x z) y)))>
#<alt (fabs (neg (/ (* x z) y)))>
#<alt (fabs (neg (/ (* x z) y)))>
#<alt (fabs (neg (/ (* x z) y)))>
#<alt (fabs (neg (/ (* x z) y)))>
#<alt (fabs (neg (/ (* x z) y)))>
#<alt (fabs (neg (/ (* x z) y)))>
#<alt (fabs (neg (/ (* x z) y)))>
#<alt (fabs (neg (/ (* x z) y)))>
#<alt (fabs (neg (/ (* x z) y)))>
#<alt (fabs (neg (/ (* x z) y)))>
#<alt (fabs (neg (/ (* x z) y)))>
#<alt (fabs (neg (/ (* x z) y)))>
#<alt (fabs (neg (/ (* x z) y)))>
#<alt (fabs (neg (/ (* x z) y)))>
#<alt (fabs (neg (/ (* x z) y)))>
#<alt (fabs (neg (/ (* x z) y)))>
#<alt (fabs (neg (/ (* x z) y)))>
#<alt (fabs (neg (/ (* x z) y)))>
#<alt (fabs (neg (/ (* x z) y)))>
#<alt (fabs (neg (/ (* x z) y)))>
#<alt (fabs (neg (/ (* x z) y)))>
#<alt (fabs (neg (/ (* x z) y)))>
#<alt (fabs (neg (/ (* x z) y)))>
#<alt (fabs (neg (/ (* x z) y)))>
#<alt (fabs (neg (/ (* x z) y)))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (fabs (/ (- (* x z) 4) y))>
#<alt (fabs (/ (- (* x z) 4) y))>
#<alt (fabs (/ (- (* x z) 4) y))>
#<alt (fabs (/ (- (* x z) 4) y))>
#<alt (fabs (/ (- (* x z) 4) y))>
#<alt (fabs (/ (- (* x z) 4) y))>
#<alt (fabs (/ (- (* x z) 4) y))>
#<alt (fabs (/ (- (* x z) 4) y))>
#<alt (fabs (/ (- (* x z) 4) y))>
#<alt (fabs (/ (- (* x z) 4) y))>
#<alt (fabs (/ (- (* x z) 4) y))>
#<alt (fabs (/ (- (* x z) 4) y))>
#<alt (fabs (/ (- (* x z) 4) y))>
#<alt (fabs (/ (- (* x z) 4) y))>
#<alt (fabs (/ (- (* x z) 4) y))>
#<alt (fabs (/ (- (* x z) 4) y))>
#<alt (fabs (/ (- (* x z) 4) y))>
#<alt (fabs (/ (- (* x z) 4) y))>
#<alt (fabs (/ (- (* x z) 4) y))>
#<alt (fabs (/ (- (* x z) 4) y))>
#<alt (fabs (/ (- (* x z) 4) y))>
#<alt (fabs (/ (- (* x z) 4) y))>
#<alt (fabs (/ (- (* x z) 4) y))>
#<alt (fabs (/ (- (* x z) 4) y))>
#<alt (fabs (/ (- (* x z) 4) y))>
#<alt (fabs (/ (- (* x z) 4) y))>
#<alt (fabs (/ (- (* x z) 4) y))>
#<alt (fabs (/ (- (* x z) 4) y))>
#<alt (fabs (/ (- (* x z) 4) y))>
#<alt (fabs (/ (- (* x z) 4) y))>
#<alt (fabs (/ (- (* x z) 4) y))>
#<alt (fabs (/ (- (* x z) 4) y))>
#<alt (fabs (/ (- (* x z) 4) y))>
#<alt (fabs (/ (- (* x z) 4) y))>
#<alt (fabs (/ (- (* x z) 4) y))>
#<alt (fabs (/ (- (* x z) 4) y))>
#<alt (/ -4 y)>
#<alt (- (/ (* x z) y) (* 4 (/ 1 y)))>
#<alt (- (/ (* x z) y) (* 4 (/ 1 y)))>
#<alt (- (/ (* x z) y) (* 4 (/ 1 y)))>
#<alt (/ (* x z) y)>
#<alt (* x (- (/ z y) (* 4 (/ 1 (* x y)))))>
#<alt (* x (- (/ z y) (* 4 (/ 1 (* x y)))))>
#<alt (* x (- (/ z y) (* 4 (/ 1 (* x y)))))>
#<alt (/ (* x z) y)>
#<alt (* -1 (* x (+ (* -1 (/ z y)) (* 4 (/ 1 (* x y))))))>
#<alt (* -1 (* x (+ (* -1 (/ z y)) (* 4 (/ 1 (* x y))))))>
#<alt (* -1 (* x (+ (* -1 (/ z y)) (* 4 (/ 1 (* x y))))))>
#<alt (/ -4 y)>
#<alt (- (/ (* x z) y) (* 4 (/ 1 y)))>
#<alt (- (/ (* x z) y) (* 4 (/ 1 y)))>
#<alt (- (/ (* x z) y) (* 4 (/ 1 y)))>
#<alt (/ (* x z) y)>
#<alt (* z (- (/ x y) (* 4 (/ 1 (* y z)))))>
#<alt (* z (- (/ x y) (* 4 (/ 1 (* y z)))))>
#<alt (* z (- (/ x y) (* 4 (/ 1 (* y z)))))>
#<alt (/ (* x z) y)>
#<alt (* -1 (* z (+ (* -1 (/ x y)) (* 4 (/ 1 (* y z))))))>
#<alt (* -1 (* z (+ (* -1 (/ x y)) (* 4 (/ 1 (* y z))))))>
#<alt (* -1 (* z (+ (* -1 (/ x y)) (* 4 (/ 1 (* y z))))))>
#<alt (/ (- (* x z) 4) y)>
#<alt (/ (- (* x z) 4) y)>
#<alt (/ (- (* x z) 4) y)>
#<alt (/ (- (* x z) 4) y)>
#<alt (/ (- (* x z) 4) y)>
#<alt (/ (- (* x z) 4) y)>
#<alt (/ (- (* x z) 4) y)>
#<alt (/ (- (* x z) 4) y)>
#<alt (/ (- (* x z) 4) y)>
#<alt (/ (- (* x z) 4) y)>
#<alt (/ (- (* x z) 4) y)>
#<alt (/ (- (* x z) 4) y)>
#<alt -4>
#<alt (- (* x z) 4)>
#<alt (- (* x z) 4)>
#<alt (- (* x z) 4)>
#<alt (* x z)>
#<alt (* x (- z (* 4 (/ 1 x))))>
#<alt (* x (- z (* 4 (/ 1 x))))>
#<alt (* x (- z (* 4 (/ 1 x))))>
#<alt (* x z)>
#<alt (* -1 (* x (+ (* -1 z) (* 4 (/ 1 x)))))>
#<alt (* -1 (* x (+ (* -1 z) (* 4 (/ 1 x)))))>
#<alt (* -1 (* x (+ (* -1 z) (* 4 (/ 1 x)))))>
#<alt -4>
#<alt (- (* x z) 4)>
#<alt (- (* x z) 4)>
#<alt (- (* x z) 4)>
#<alt (* x z)>
#<alt (* z (- x (* 4 (/ 1 z))))>
#<alt (* z (- x (* 4 (/ 1 z))))>
#<alt (* z (- x (* 4 (/ 1 z))))>
#<alt (* x z)>
#<alt (* -1 (* z (+ (* -1 x) (* 4 (/ 1 z)))))>
#<alt (* -1 (* z (+ (* -1 x) (* 4 (/ 1 z)))))>
#<alt (* -1 (* z (+ (* -1 x) (* 4 (/ 1 z)))))>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (fabs (/ (+ (* 4 y) (* x y)) (pow y 2)))>
#<alt (fabs (/ (+ (* 4 y) (* x y)) (pow y 2)))>
#<alt (fabs (/ (+ (* 4 y) (* x y)) (pow y 2)))>
#<alt (fabs (/ (+ (* 4 y) (* x y)) (pow y 2)))>
#<alt (fabs (/ (+ (* 4 y) (* x y)) (pow y 2)))>
#<alt (fabs (/ (+ (* 4 y) (* x y)) (pow y 2)))>
#<alt (fabs (/ (+ (* 4 y) (* x y)) (pow y 2)))>
#<alt (fabs (/ (+ (* 4 y) (* x y)) (pow y 2)))>
#<alt (fabs (/ (- (* x y) (* -4 y)) (pow y 2)))>
#<alt (fabs (/ (- (* x y) (* -4 y)) (pow y 2)))>
#<alt (fabs (/ (- (* x y) (* -4 y)) (pow y 2)))>
#<alt (fabs (/ (- (* x y) (* -4 y)) (pow y 2)))>
#<alt (fabs (/ (+ (* 4 y) (* x y)) (pow y 2)))>
#<alt (fabs (/ (+ (* 4 y) (* x y)) (pow y 2)))>
#<alt (fabs (/ (+ (* 4 y) (* x y)) (pow y 2)))>
#<alt (fabs (/ (+ (* 4 y) (* x y)) (pow y 2)))>
#<alt (fabs (/ (+ (* 4 y) (* x y)) (pow y 2)))>
#<alt (fabs (/ (+ (* 4 y) (* x y)) (pow y 2)))>
#<alt (fabs (/ (+ (* 4 y) (* x y)) (pow y 2)))>
#<alt (fabs (/ (+ (* 4 y) (* x y)) (pow y 2)))>
#<alt (fabs (/ (+ (* 4 y) (* x y)) (pow y 2)))>
#<alt (fabs (/ (+ (* 4 y) (* x y)) (pow y 2)))>
#<alt (fabs (/ (+ (* 4 y) (* x y)) (pow y 2)))>
#<alt (fabs (/ (+ (* 4 y) (* x y)) (pow y 2)))>
#<alt (/ (+ 4 x) y)>
#<alt (/ (+ 4 x) y)>
#<alt (/ (+ 4 x) y)>
#<alt (/ (+ 4 x) y)>
#<alt (/ (+ 4 x) y)>
#<alt (/ (+ 4 x) y)>
#<alt (/ (+ 4 x) y)>
#<alt (/ (+ 4 x) y)>
#<alt (* -1 (/ (- (* -1 x) 4) y))>
#<alt (* -1 (/ (- (* -1 x) 4) y))>
#<alt (* -1 (/ (- (* -1 x) 4) y))>
#<alt (* -1 (/ (- (* -1 x) 4) y))>
#<alt (/ 4 y)>
#<alt (+ (* 4 (/ 1 y)) (/ x y))>
#<alt (+ (* 4 (/ 1 y)) (/ x y))>
#<alt (+ (* 4 (/ 1 y)) (/ x y))>
#<alt (/ x y)>
#<alt (* x (+ (/ 1 y) (* 4 (/ 1 (* x y)))))>
#<alt (* x (+ (/ 1 y) (* 4 (/ 1 (* x y)))))>
#<alt (* x (+ (/ 1 y) (* 4 (/ 1 (* x y)))))>
#<alt (/ x y)>
#<alt (* x (+ (/ 1 y) (* 4 (/ 1 (* x y)))))>
#<alt (* x (+ (/ 1 y) (* 4 (/ 1 (* x y)))))>
#<alt (* x (+ (/ 1 y) (* 4 (/ 1 (* x y)))))>
#<alt (+ 4 x)>
#<alt (+ 4 x)>
#<alt (+ 4 x)>
#<alt (+ 4 x)>
#<alt (+ 4 x)>
#<alt (+ 4 x)>
#<alt (+ 4 x)>
#<alt (+ 4 x)>
#<alt (* -1 (- (* -1 x) 4))>
#<alt (* -1 (- (* -1 x) 4))>
#<alt (* -1 (- (* -1 x) 4))>
#<alt (* -1 (- (* -1 x) 4))>
#<alt 4>
#<alt (+ 4 x)>
#<alt (+ 4 x)>
#<alt (+ 4 x)>
#<alt x>
#<alt (* x (+ 1 (* 4 (/ 1 x))))>
#<alt (* x (+ 1 (* 4 (/ 1 x))))>
#<alt (* x (+ 1 (* 4 (/ 1 x))))>
#<alt x>
#<alt (* x (+ 1 (* 4 (/ 1 x))))>
#<alt (* x (+ 1 (* 4 (/ 1 x))))>
#<alt (* x (+ 1 (* 4 (/ 1 x))))>
#<alt (* y (+ 4 x))>
#<alt (* y (+ 4 x))>
#<alt (* y (+ 4 x))>
#<alt (* y (+ 4 x))>
#<alt (* y (+ 4 x))>
#<alt (* y (+ 4 x))>
#<alt (* y (+ 4 x))>
#<alt (* y (+ 4 x))>
#<alt (* -1 (* y (- (* -1 x) 4)))>
#<alt (* -1 (* y (- (* -1 x) 4)))>
#<alt (* -1 (* y (- (* -1 x) 4)))>
#<alt (* -1 (* y (- (* -1 x) 4)))>
#<alt (* 4 y)>
#<alt (+ (* 4 y) (* x y))>
#<alt (+ (* 4 y) (* x y))>
#<alt (+ (* 4 y) (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (* 4 (/ y x))))>
#<alt (* x (+ y (* 4 (/ y x))))>
#<alt (* x (+ y (* 4 (/ y x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -4 (/ y x)) (* -1 y))))>
#<alt (* -1 (* x (+ (* -4 (/ y x)) (* -1 y))))>
#<alt (* -1 (* x (+ (* -4 (/ y x)) (* -1 y))))>
Calls

126 calls:

TimeVariablePointExpression
6.0ms
x
@-inf
(+ (* 4 y) (* x y))
2.0ms
x
@-inf
(/ y (- (* x z) (+ 4 x)))
1.0ms
y
@inf
(/ 1 (fabs (/ y (- (* x z) (+ 4 x)))))
1.0ms
y
@inf
(/ y (- (* x z) (+ 4 x)))
1.0ms
x
@-inf
(/ 1 (fabs (/ y (- (* x z) (+ 4 x)))))

rewrite352.0ms (3.4%)

Algorithm
batch-egg-rewrite
Rules
3628×/-lowering-/.f32
3628×/-lowering-/.f64
3376×*-lowering-*.f32
3376×*-lowering-*.f64
1762×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
026109
1175108
21402107
08207107
Stop Event
iter limit
node limit
Counts
17 → 733
Calls
Call 1
Inputs
(/ 1 (fabs (/ y (- (* x z) (+ 4 x)))))
(fabs (/ y (- (* x z) (+ 4 x))))
(/ y (- (* x z) (+ 4 x)))
(- (* x z) (+ 4 x))
(fabs (/ x y))
(/ x y)
(fabs (- 0 (* z (/ x y))))
(- 0 (* z (/ x y)))
(* z (/ x y))
(fabs (/ (- (* x z) 4) y))
(/ (- (* x z) 4) y)
(- (* x z) 4)
(* x z)
(fabs (/ (/ (+ (* 4 y) (* x y)) y) y))
(/ (/ (+ (* 4 y) (* x y)) y) y)
(/ (+ (* 4 y) (* x y)) y)
(+ (* 4 y) (* x y))
Outputs
(exp.f64 (*.f64 (log.f64 (fabs.f64 (/.f64 y (-.f64 x (+.f64 (*.f64 x z) #s(literal -4 binary64)))))) #s(literal -1 binary64)))
(fabs.f64 (/.f64 (+.f64 (*.f64 x z) (-.f64 #s(literal -4 binary64) x)) y))
(fabs.f64 (neg.f64 (/.f64 (+.f64 (*.f64 x z) (-.f64 #s(literal -4 binary64) x)) y)))
(fabs.f64 (/.f64 (+.f64 (*.f64 x z) (-.f64 #s(literal -4 binary64) x)) (-.f64 #s(literal 0 binary64) y)))
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(*.f64 (/.f64 (*.f64 (*.f64 y (+.f64 x #s(literal 4 binary64))) (*.f64 y (-.f64 #s(literal 4 binary64) x))) y) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 4 binary64) x))) y))
(*.f64 (/.f64 (*.f64 y (+.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) y))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (+.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) y))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) y) (/.f64 (+.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) y)))
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal 64 binary64) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y x) (*.f64 (*.f64 y x) (*.f64 y x)))) y) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 16 binary64) (*.f64 y y)) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 y #s(literal 4 binary64)))))) y))
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal 16 binary64) (*.f64 y y)) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 y #s(literal 4 binary64))))) (*.f64 y y)) (/.f64 (*.f64 y (+.f64 x #s(literal 4 binary64))) (+.f64 (*.f64 #s(literal 16 binary64) (*.f64 y y)) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 y #s(literal 4 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (+.f64 (*.f64 #s(literal 64 binary64) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y x) (*.f64 (*.f64 y x) (*.f64 y x)))))) (/.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 (*.f64 #s(literal 16 binary64) (*.f64 y y)) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 y #s(literal 4 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (*.f64 y (+.f64 x #s(literal 4 binary64))) (*.f64 y (-.f64 #s(literal 4 binary64) x))))) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y (-.f64 #s(literal 4 binary64) x))))
(exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 y (+.f64 x #s(literal 4 binary64))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 y y)) (*.f64 y (-.f64 #s(literal 4 binary64) x))) y) (/.f64 (/.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 y (-.f64 #s(literal 4 binary64) x))) y))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 y (+.f64 x #s(literal 4 binary64))))))
(-.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 y y)) (*.f64 y (*.f64 y (-.f64 #s(literal 4 binary64) x)))) (/.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 y (*.f64 y (-.f64 #s(literal 4 binary64) x)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 y (+.f64 x #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y (+.f64 x #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (*.f64 y (+.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y (*.f64 y (+.f64 x #s(literal 4 binary64)))))))
(/.f64 (*.f64 y (+.f64 x #s(literal 4 binary64))) y)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 y (+.f64 x #s(literal 4 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 y (*.f64 y (+.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (+.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 0 binary64) y))
(/.f64 (+.f64 (*.f64 #s(literal 64 binary64) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y x) (*.f64 (*.f64 y x) (*.f64 y x)))) (*.f64 y (+.f64 (*.f64 #s(literal 16 binary64) (*.f64 y y)) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 y #s(literal 4 binary64)))))))
(/.f64 (*.f64 (*.f64 y (+.f64 x #s(literal 4 binary64))) (*.f64 y (-.f64 #s(literal 4 binary64) x))) (*.f64 y (*.f64 y (-.f64 #s(literal 4 binary64) x))))
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 64 binary64) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y x) (*.f64 (*.f64 y x) (*.f64 y x)))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 #s(literal 16 binary64) (*.f64 y y)) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 y #s(literal 4 binary64))))) y))
(/.f64 (*.f64 (*.f64 (*.f64 y (+.f64 x #s(literal 4 binary64))) (*.f64 y (-.f64 #s(literal 4 binary64) x))) #s(literal 1 binary64)) (*.f64 (*.f64 y (-.f64 #s(literal 4 binary64) x)) y))
(/.f64 (*.f64 (*.f64 y (+.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) y)
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (+.f64 x #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) y)))
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal 64 binary64) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y x) (*.f64 (*.f64 y x) (*.f64 y x))))) (neg.f64 (*.f64 y (+.f64 (*.f64 #s(literal 16 binary64) (*.f64 y y)) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 y #s(literal 4 binary64))))))))
(/.f64 (neg.f64 (*.f64 (*.f64 y (+.f64 x #s(literal 4 binary64))) (*.f64 y (-.f64 #s(literal 4 binary64) x)))) (neg.f64 (*.f64 y (*.f64 y (-.f64 #s(literal 4 binary64) x)))))
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 64 binary64) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y x) (*.f64 (*.f64 y x) (*.f64 y x)))) (/.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 #s(literal 16 binary64) (*.f64 y y)) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 y #s(literal 4 binary64))))))
(/.f64 (*.f64 (*.f64 (*.f64 y (+.f64 x #s(literal 4 binary64))) (*.f64 y (-.f64 #s(literal 4 binary64) x))) (/.f64 #s(literal 1 binary64) y)) (*.f64 y (-.f64 #s(literal 4 binary64) x)))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (+.f64 x #s(literal 4 binary64)))))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) y))))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 #s(literal 64 binary64) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y x) (*.f64 (*.f64 y x) (*.f64 y x)))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 (*.f64 #s(literal 16 binary64) (*.f64 y y)) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 y #s(literal 4 binary64))))) y)))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 y (+.f64 x #s(literal 4 binary64))) (*.f64 y (-.f64 #s(literal 4 binary64) x))) #s(literal 1 binary64))) (neg.f64 (*.f64 (*.f64 y (-.f64 #s(literal 4 binary64) x)) y)))
(/.f64 (neg.f64 (*.f64 (*.f64 y (+.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) y))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 #s(literal 64 binary64) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y x) (*.f64 (*.f64 y x) (*.f64 y x)))) (/.f64 #s(literal 1 binary64) y))) (neg.f64 (+.f64 (*.f64 #s(literal 16 binary64) (*.f64 y y)) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 y #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 y (+.f64 x #s(literal 4 binary64))) (*.f64 y (-.f64 #s(literal 4 binary64) x))) (/.f64 #s(literal 1 binary64) y))) (neg.f64 (*.f64 y (-.f64 #s(literal 4 binary64) x))))
(pow.f64 (/.f64 y (*.f64 y (+.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 y (*.f64 y (+.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 x #s(literal 4 binary64))) y))
(*.f64 y (/.f64 (+.f64 x #s(literal 4 binary64)) y))
(*.f64 y (*.f64 (+.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (*.f64 y (+.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (*.f64 y (+.f64 x #s(literal 4 binary64))) y) (/.f64 (*.f64 y (-.f64 #s(literal 4 binary64) x)) (*.f64 y (-.f64 #s(literal 4 binary64) x))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (+.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y (+.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal 4 binary64)) y))
(*.f64 (pow.f64 (/.f64 y (+.f64 (*.f64 #s(literal 64 binary64) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y x) (*.f64 (*.f64 y x) (*.f64 y x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 16 binary64) (*.f64 y y)) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 y #s(literal 4 binary64)))))))
(*.f64 (pow.f64 (/.f64 y (*.f64 (*.f64 y (+.f64 x #s(literal 4 binary64))) (*.f64 y (-.f64 #s(literal 4 binary64) x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 4 binary64) x))))
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -4 binary64) (-.f64 #s(literal 0 binary64) x)) y))
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal 16 binary64) (*.f64 y y)) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 y #s(literal 4 binary64))))) y) (/.f64 (*.f64 y (+.f64 x #s(literal 4 binary64))) (+.f64 (*.f64 #s(literal 16 binary64) (*.f64 y y)) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 y #s(literal 4 binary64)))))))
(*.f64 (/.f64 (*.f64 (*.f64 y (+.f64 x #s(literal 4 binary64))) (*.f64 y (-.f64 #s(literal 4 binary64) x))) y) (/.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 4 binary64) x)))
(+.f64 (*.f64 y #s(literal 4 binary64)) (*.f64 y x))
(+.f64 (*.f64 y x) (*.f64 y #s(literal 4 binary64)))
(-.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 y y)) (*.f64 y (-.f64 #s(literal 4 binary64) x))) (/.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 y (-.f64 #s(literal 4 binary64) x))))
(-.f64 (/.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (-.f64 (*.f64 y x) (*.f64 y #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 y y)) (-.f64 (*.f64 y x) (*.f64 y #s(literal 4 binary64)))))
(fma.f64 y x (*.f64 y #s(literal 4 binary64)))
(fma.f64 y #s(literal 4 binary64) (*.f64 y x))
(fma.f64 x y (*.f64 y #s(literal 4 binary64)))
(fma.f64 #s(literal 4 binary64) y (*.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 16 binary64) (*.f64 y y)) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 y #s(literal 4 binary64))))) (+.f64 (*.f64 #s(literal 64 binary64) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y x) (*.f64 (*.f64 y x) (*.f64 y x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 4 binary64) x)) (*.f64 (*.f64 y (+.f64 x #s(literal 4 binary64))) (*.f64 y (-.f64 #s(literal 4 binary64) x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (*.f64 #s(literal 16 binary64) (*.f64 y y)) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 y #s(literal 4 binary64))))) (+.f64 (*.f64 #s(literal 64 binary64) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y x) (*.f64 (*.f64 y x) (*.f64 y x)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 y (-.f64 #s(literal 4 binary64) x)) (*.f64 (*.f64 y (+.f64 x #s(literal 4 binary64))) (*.f64 y (-.f64 #s(literal 4 binary64) x))))))
(/.f64 (+.f64 (*.f64 #s(literal 64 binary64) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y x) (*.f64 (*.f64 y x) (*.f64 y x)))) (+.f64 (*.f64 #s(literal 16 binary64) (*.f64 y y)) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 y #s(literal 4 binary64))))))
(/.f64 (+.f64 (*.f64 #s(literal 64 binary64) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y x) (*.f64 (*.f64 y x) (*.f64 y x)))) (+.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (-.f64 (*.f64 #s(literal 16 binary64) (*.f64 y y)) (*.f64 y (*.f64 #s(literal 4 binary64) (*.f64 y x))))))
(/.f64 (*.f64 (*.f64 y (+.f64 x #s(literal 4 binary64))) (*.f64 y (-.f64 #s(literal 4 binary64) x))) (*.f64 y (-.f64 #s(literal 4 binary64) x)))
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal 64 binary64) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y x) (*.f64 (*.f64 y x) (*.f64 y x))))) (neg.f64 (+.f64 (*.f64 #s(literal 16 binary64) (*.f64 y y)) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 y #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal 64 binary64) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y x) (*.f64 (*.f64 y x) (*.f64 y x))))) (neg.f64 (+.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (-.f64 (*.f64 #s(literal 16 binary64) (*.f64 y y)) (*.f64 y (*.f64 #s(literal 4 binary64) (*.f64 y x)))))))
(/.f64 (neg.f64 (*.f64 (*.f64 y (+.f64 x #s(literal 4 binary64))) (*.f64 y (-.f64 #s(literal 4 binary64) x)))) (neg.f64 (*.f64 y (-.f64 #s(literal 4 binary64) x))))
(/.f64 (*.f64 y (+.f64 #s(literal 64 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 16 binary64) (*.f64 x (-.f64 x #s(literal 4 binary64)))))
(/.f64 (*.f64 y (-.f64 #s(literal 16 binary64) (*.f64 x x))) (-.f64 #s(literal 4 binary64) x))
(/.f64 (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 #s(literal 16 binary64) (*.f64 y y))) (-.f64 (*.f64 y x) (*.f64 y #s(literal 4 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 y y)) (*.f64 y (-.f64 #s(literal 4 binary64) x))) (*.f64 (*.f64 y (-.f64 #s(literal 4 binary64) x)) (*.f64 (*.f64 y x) (*.f64 y x)))) (*.f64 (*.f64 y (-.f64 #s(literal 4 binary64) x)) (*.f64 y (-.f64 #s(literal 4 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (*.f64 #s(literal 64 binary64) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y x) (*.f64 (*.f64 y x) (*.f64 y x)))))) (neg.f64 (neg.f64 (+.f64 (*.f64 #s(literal 16 binary64) (*.f64 y y)) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 y #s(literal 4 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 y (+.f64 x #s(literal 4 binary64))) (*.f64 y (-.f64 #s(literal 4 binary64) x))))) (neg.f64 (neg.f64 (*.f64 y (-.f64 #s(literal 4 binary64) x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 #s(literal 16 binary64) (*.f64 y y)))) (neg.f64 (-.f64 (*.f64 y x) (*.f64 y #s(literal 4 binary64)))))
(/.f64 (neg.f64 (*.f64 y (+.f64 #s(literal 64 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (+.f64 #s(literal 16 binary64) (*.f64 x (-.f64 x #s(literal 4 binary64))))))
(/.f64 (neg.f64 (*.f64 y (-.f64 #s(literal 16 binary64) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal 4 binary64) x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 y y)) (*.f64 y (-.f64 #s(literal 4 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 y (-.f64 #s(literal 4 binary64) x))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 y y)) (*.f64 y (-.f64 #s(literal 4 binary64) x))) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 y y)) (*.f64 y (-.f64 #s(literal 4 binary64) x)))) (+.f64 (*.f64 (/.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 y (-.f64 #s(literal 4 binary64) x))) (/.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 y (-.f64 #s(literal 4 binary64) x)))) (*.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 y y)) (*.f64 y (-.f64 #s(literal 4 binary64) x))) (/.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 y (-.f64 #s(literal 4 binary64) x)))))))
(pow.f64 (/.f64 (+.f64 (*.f64 #s(literal 16 binary64) (*.f64 y y)) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 y #s(literal 4 binary64))))) (+.f64 (*.f64 #s(literal 64 binary64) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y x) (*.f64 (*.f64 y x) (*.f64 y x))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 y (-.f64 #s(literal 4 binary64) x)) (*.f64 (*.f64 y (+.f64 x #s(literal 4 binary64))) (*.f64 y (-.f64 #s(literal 4 binary64) x)))) #s(literal -1 binary64))
(*.f64 y (+.f64 x #s(literal 4 binary64)))
(*.f64 (+.f64 x #s(literal 4 binary64)) y)
(*.f64 (/.f64 (*.f64 y (+.f64 x #s(literal 4 binary64))) y) (/.f64 (*.f64 y (-.f64 #s(literal 4 binary64) x)) (-.f64 #s(literal 4 binary64) x)))
(*.f64 (+.f64 (*.f64 #s(literal 64 binary64) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y x) (*.f64 (*.f64 y x) (*.f64 y x)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 16 binary64) (*.f64 y y)) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 y #s(literal 4 binary64)))))))
(*.f64 (*.f64 (*.f64 y (+.f64 x #s(literal 4 binary64))) (*.f64 y (-.f64 #s(literal 4 binary64) x))) (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 4 binary64) x))))

simplify300.0ms (2.9%)

Algorithm
egg-herbie
Rules
5814×*-lowering-*.f32
5814×*-lowering-*.f64
2100×/-lowering-/.f32
2100×/-lowering-/.f64
2032×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02923596
19463540
231653425
085133425
Stop Event
iter limit
node limit
Counts
504 → 504
Calls
Call 1
Inputs
(/ 1 (fabs (/ y (- (* x z) (+ 4 x)))))
(/ 1 (fabs (/ y (- (* x z) (+ 4 x)))))
(/ 1 (fabs (/ y (- (* x z) (+ 4 x)))))
(/ 1 (fabs (/ y (- (* x z) (+ 4 x)))))
(/ 1 (fabs (/ y (- (* x z) (+ 4 x)))))
(/ 1 (fabs (/ y (- (* x z) (+ 4 x)))))
(/ 1 (fabs (/ y (- (* x z) (+ 4 x)))))
(/ 1 (fabs (/ y (- (* x z) (+ 4 x)))))
(/ 1 (fabs (/ y (- (* x z) (+ 4 x)))))
(/ 1 (fabs (/ y (- (* x z) (+ 4 x)))))
(/ 1 (fabs (/ y (- (* x z) (+ 4 x)))))
(/ 1 (fabs (/ y (- (* x z) (+ 4 x)))))
(/ 1 (fabs (/ y (- (* x z) (+ 4 x)))))
(/ 1 (fabs (/ y (- (* x z) (+ 4 x)))))
(/ 1 (fabs (/ y (- (* x z) (+ 4 x)))))
(/ 1 (fabs (/ y (- (* x z) (+ 4 x)))))
(/ 1 (fabs (/ y (- (* x z) (+ 4 x)))))
(/ 1 (fabs (/ y (- (* x z) (+ 4 x)))))
(/ 1 (fabs (/ y (- (* x z) (+ 4 x)))))
(/ 1 (fabs (/ y (- (* x z) (+ 4 x)))))
(/ 1 (fabs (/ y (- (+ (* -1 x) (* x z)) 4))))
(/ 1 (fabs (/ y (- (+ (* -1 x) (* x z)) 4))))
(/ 1 (fabs (/ y (- (+ (* -1 x) (* x z)) 4))))
(/ 1 (fabs (/ y (- (+ (* -1 x) (* x z)) 4))))
(/ 1 (fabs (/ y (- (* x z) (+ 4 x)))))
(/ 1 (fabs (/ y (- (* x z) (+ 4 x)))))
(/ 1 (fabs (/ y (- (* x z) (+ 4 x)))))
(/ 1 (fabs (/ y (- (* x z) (+ 4 x)))))
(/ 1 (fabs (/ y (- (* x z) (+ 4 x)))))
(/ 1 (fabs (/ y (- (* x z) (+ 4 x)))))
(/ 1 (fabs (/ y (- (* x z) (+ 4 x)))))
(/ 1 (fabs (/ y (- (* x z) (+ 4 x)))))
(/ 1 (fabs (/ y (- (* x z) (+ 4 x)))))
(/ 1 (fabs (/ y (- (* x z) (+ 4 x)))))
(/ 1 (fabs (/ y (- (* x z) (+ 4 x)))))
(/ 1 (fabs (/ y (- (* x z) (+ 4 x)))))
(fabs (/ y (- (* x z) (+ 4 x))))
(fabs (/ y (- (* x z) (+ 4 x))))
(fabs (/ y (- (* x z) (+ 4 x))))
(fabs (/ y (- (* x z) (+ 4 x))))
(fabs (/ y (- (* x z) (+ 4 x))))
(fabs (/ y (- (* x z) (+ 4 x))))
(fabs (/ y (- (* x z) (+ 4 x))))
(fabs (/ y (- (* x z) (+ 4 x))))
(fabs (/ y (- (* x z) (+ 4 x))))
(fabs (/ y (- (* x z) (+ 4 x))))
(fabs (/ y (- (* x z) (+ 4 x))))
(fabs (/ y (- (* x z) (+ 4 x))))
(fabs (/ y (- (* x z) (+ 4 x))))
(fabs (/ y (- (* x z) (+ 4 x))))
(fabs (/ y (- (* x z) (+ 4 x))))
(fabs (/ y (- (* x z) (+ 4 x))))
(fabs (/ y (- (* x z) (+ 4 x))))
(fabs (/ y (- (* x z) (+ 4 x))))
(fabs (/ y (- (* x z) (+ 4 x))))
(fabs (/ y (- (* x z) (+ 4 x))))
(fabs (/ y (- (+ (* -1 x) (* x z)) 4)))
(fabs (/ y (- (+ (* -1 x) (* x z)) 4)))
(fabs (/ y (- (+ (* -1 x) (* x z)) 4)))
(fabs (/ y (- (+ (* -1 x) (* x z)) 4)))
(fabs (/ y (- (* x z) (+ 4 x))))
(fabs (/ y (- (* x z) (+ 4 x))))
(fabs (/ y (- (* x z) (+ 4 x))))
(fabs (/ y (- (* x z) (+ 4 x))))
(fabs (/ y (- (* x z) (+ 4 x))))
(fabs (/ y (- (* x z) (+ 4 x))))
(fabs (/ y (- (* x z) (+ 4 x))))
(fabs (/ y (- (* x z) (+ 4 x))))
(fabs (/ y (- (* x z) (+ 4 x))))
(fabs (/ y (- (* x z) (+ 4 x))))
(fabs (/ y (- (* x z) (+ 4 x))))
(fabs (/ y (- (* x z) (+ 4 x))))
(/ y (- (* x z) (+ 4 x)))
(/ y (- (* x z) (+ 4 x)))
(/ y (- (* x z) (+ 4 x)))
(/ y (- (* x z) (+ 4 x)))
(/ y (- (* x z) (+ 4 x)))
(/ y (- (* x z) (+ 4 x)))
(/ y (- (* x z) (+ 4 x)))
(/ y (- (* x z) (+ 4 x)))
(/ y (- (* x z) (+ 4 x)))
(/ y (- (* x z) (+ 4 x)))
(/ y (- (* x z) (+ 4 x)))
(/ y (- (* x z) (+ 4 x)))
(* -1/4 y)
(+ (* -1/4 y) (* -1/16 (* x (* y (- z 1)))))
(+ (* -1/4 y) (* x (- (* -1/64 (* x (* y (pow (- z 1) 2)))) (* 1/16 (* y (- z 1))))))
(+ (* -1/4 y) (* x (- (* x (- (* -1/256 (* x (* y (pow (- z 1) 3)))) (* 1/64 (* y (pow (- z 1) 2))))) (* 1/16 (* y (- z 1))))))
(/ y (* x (- z 1)))
(/ (+ (* 4 (/ y (* x (pow (- z 1) 2)))) (/ y (- z 1))) x)
(/ (- (+ (* 16 (/ y (* (pow x 2) (pow (- z 1) 3)))) (/ y (- z 1))) (* -4 (/ y (* x (pow (- z 1) 2))))) x)
(/ (- (+ (* 64 (/ y (* (pow x 3) (pow (- z 1) 4)))) (/ y (- z 1))) (+ (* -16 (/ y (* (pow x 2) (pow (- z 1) 3)))) (* -4 (/ y (* x (pow (- z 1) 2)))))) x)
(* -1 (/ y (* x (+ 1 (* -1 z)))))
(* -1 (/ (+ (* -4 (/ y (* x (pow (+ 1 (* -1 z)) 2)))) (/ y (+ 1 (* -1 z)))) x))
(* -1 (/ (+ (* -1 (/ (- (* -16 (/ y (* x (pow (+ 1 (* -1 z)) 3)))) (* -4 (/ y (pow (+ 1 (* -1 z)) 2)))) x)) (/ y (+ 1 (* -1 z)))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -64 (/ y (* x (pow (+ 1 (* -1 z)) 4)))) (* -16 (/ y (pow (+ 1 (* -1 z)) 3)))) x)) (* -4 (/ y (pow (+ 1 (* -1 z)) 2)))) x)) (/ y (+ 1 (* -1 z)))) x))
(* -1 (/ y (+ 4 x)))
(+ (* -1 (/ y (+ 4 x))) (* -1 (/ (* x (* y z)) (pow (+ 4 x) 2))))
(+ (* -1 (/ y (+ 4 x))) (* z (- (* -1 (/ (* (pow x 2) (* y z)) (pow (+ 4 x) 3))) (/ (* x y) (pow (+ 4 x) 2)))))
(+ (* -1 (/ y (+ 4 x))) (* z (- (* z (- (* -1 (/ (* (pow x 3) (* y z)) (pow (+ 4 x) 4))) (/ (* (pow x 2) y) (pow (+ 4 x) 3)))) (/ (* x y) (pow (+ 4 x) 2)))))
(/ y (* x z))
(/ (+ (/ y x) (/ (* y (+ 4 x)) (* (pow x 2) z))) z)
(/ (- (+ (/ y x) (/ (* y (pow (+ 4 x) 2)) (* (pow x 3) (pow z 2)))) (* -1 (/ (* y (+ 4 x)) (* (pow x 2) z)))) z)
(/ (- (+ (/ y x) (/ (* y (pow (+ 4 x) 3)) (* (pow x 4) (pow z 3)))) (+ (* -1 (/ (* y (+ 4 x)) (* (pow x 2) z))) (* -1 (/ (* y (pow (+ 4 x) 2)) (* (pow x 3) (pow z 2)))))) z)
(/ y (* x z))
(* -1 (/ (+ (* -1 (/ y x)) (* -1 (/ (* y (+ 4 x)) (* (pow x 2) z)))) z))
(* -1 (/ (+ (* -1 (/ y x)) (* -1 (/ (- (/ (* y (pow (+ 4 x) 2)) (* (pow x 3) z)) (* -1 (/ (* y (+ 4 x)) (pow x 2)))) z))) z))
(* -1 (/ (+ (* -1 (/ y x)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* y (pow (+ 4 x) 3)) (* (pow x 4) z))) (/ (* y (pow (+ 4 x) 2)) (pow x 3))) z)) (* -1 (/ (* y (+ 4 x)) (pow x 2)))) z))) z))
-4
(- (* x (- z 1)) 4)
(- (* x (- z 1)) 4)
(- (* x (- z 1)) 4)
(* x (- z 1))
(* x (- z (+ 1 (* 4 (/ 1 x)))))
(* x (- z (+ 1 (* 4 (/ 1 x)))))
(* x (- z (+ 1 (* 4 (/ 1 x)))))
(* -1 (* x (+ 1 (* -1 z))))
(* -1 (* x (+ 1 (+ (* -1 z) (* 4 (/ 1 x))))))
(* -1 (* x (+ 1 (+ (* -1 z) (* 4 (/ 1 x))))))
(* -1 (* x (+ 1 (+ (* -1 z) (* 4 (/ 1 x))))))
(* -1 (+ 4 x))
(- (* x z) (+ 4 x))
(- (* x z) (+ 4 x))
(- (* x z) (+ 4 x))
(* x z)
(* z (+ x (* -1 (/ (+ 4 x) z))))
(* z (+ x (* -1 (/ (+ 4 x) z))))
(* z (+ x (* -1 (/ (+ 4 x) z))))
(* x z)
(* -1 (* z (+ (* -1 x) (+ (* 4 (/ 1 z)) (/ x z)))))
(* -1 (* z (+ (* -1 x) (+ (* 4 (/ 1 z)) (/ x z)))))
(* -1 (* z (+ (* -1 x) (+ (* 4 (/ 1 z)) (/ x z)))))
(fabs (/ x y))
(fabs (/ x y))
(fabs (/ x y))
(fabs (/ x y))
(fabs (/ x y))
(fabs (/ x y))
(fabs (/ x y))
(fabs (/ x y))
(fabs (/ x y))
(fabs (/ x y))
(fabs (/ x y))
(fabs (/ x y))
(fabs (/ x y))
(fabs (/ x y))
(fabs (/ x y))
(fabs (/ x y))
(fabs (/ x y))
(fabs (/ x y))
(fabs (/ x y))
(fabs (/ x y))
(fabs (/ x y))
(fabs (/ x y))
(fabs (/ x y))
(fabs (/ 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)
(fabs (neg (/ (* x z) y)))
(fabs (neg (/ (* x z) y)))
(fabs (neg (/ (* x z) y)))
(fabs (neg (/ (* x z) y)))
(fabs (neg (/ (* x z) y)))
(fabs (neg (/ (* x z) y)))
(fabs (neg (/ (* x z) y)))
(fabs (neg (/ (* x z) y)))
(fabs (neg (/ (* x z) y)))
(fabs (neg (/ (* x z) y)))
(fabs (neg (/ (* x z) y)))
(fabs (neg (/ (* x z) y)))
(fabs (neg (/ (* x z) y)))
(fabs (neg (/ (* x z) y)))
(fabs (neg (/ (* x z) y)))
(fabs (neg (/ (* x z) y)))
(fabs (neg (/ (* x z) y)))
(fabs (neg (/ (* x z) y)))
(fabs (neg (/ (* x z) y)))
(fabs (neg (/ (* x z) y)))
(fabs (neg (/ (* x z) y)))
(fabs (neg (/ (* x z) y)))
(fabs (neg (/ (* x z) y)))
(fabs (neg (/ (* x z) y)))
(fabs (neg (/ (* x z) y)))
(fabs (neg (/ (* x z) y)))
(fabs (neg (/ (* x z) y)))
(fabs (neg (/ (* x z) y)))
(fabs (neg (/ (* x z) y)))
(fabs (neg (/ (* x z) y)))
(fabs (neg (/ (* x z) y)))
(fabs (neg (/ (* x z) y)))
(fabs (neg (/ (* x z) y)))
(fabs (neg (/ (* x z) y)))
(fabs (neg (/ (* x z) y)))
(fabs (neg (/ (* x z) y)))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(fabs (/ (- (* x z) 4) y))
(fabs (/ (- (* x z) 4) y))
(fabs (/ (- (* x z) 4) y))
(fabs (/ (- (* x z) 4) y))
(fabs (/ (- (* x z) 4) y))
(fabs (/ (- (* x z) 4) y))
(fabs (/ (- (* x z) 4) y))
(fabs (/ (- (* x z) 4) y))
(fabs (/ (- (* x z) 4) y))
(fabs (/ (- (* x z) 4) y))
(fabs (/ (- (* x z) 4) y))
(fabs (/ (- (* x z) 4) y))
(fabs (/ (- (* x z) 4) y))
(fabs (/ (- (* x z) 4) y))
(fabs (/ (- (* x z) 4) y))
(fabs (/ (- (* x z) 4) y))
(fabs (/ (- (* x z) 4) y))
(fabs (/ (- (* x z) 4) y))
(fabs (/ (- (* x z) 4) y))
(fabs (/ (- (* x z) 4) y))
(fabs (/ (- (* x z) 4) y))
(fabs (/ (- (* x z) 4) y))
(fabs (/ (- (* x z) 4) y))
(fabs (/ (- (* x z) 4) y))
(fabs (/ (- (* x z) 4) y))
(fabs (/ (- (* x z) 4) y))
(fabs (/ (- (* x z) 4) y))
(fabs (/ (- (* x z) 4) y))
(fabs (/ (- (* x z) 4) y))
(fabs (/ (- (* x z) 4) y))
(fabs (/ (- (* x z) 4) y))
(fabs (/ (- (* x z) 4) y))
(fabs (/ (- (* x z) 4) y))
(fabs (/ (- (* x z) 4) y))
(fabs (/ (- (* x z) 4) y))
(fabs (/ (- (* x z) 4) y))
(/ -4 y)
(- (/ (* x z) y) (* 4 (/ 1 y)))
(- (/ (* x z) y) (* 4 (/ 1 y)))
(- (/ (* x z) y) (* 4 (/ 1 y)))
(/ (* x z) y)
(* x (- (/ z y) (* 4 (/ 1 (* x y)))))
(* x (- (/ z y) (* 4 (/ 1 (* x y)))))
(* x (- (/ z y) (* 4 (/ 1 (* x y)))))
(/ (* x z) y)
(* -1 (* x (+ (* -1 (/ z y)) (* 4 (/ 1 (* x y))))))
(* -1 (* x (+ (* -1 (/ z y)) (* 4 (/ 1 (* x y))))))
(* -1 (* x (+ (* -1 (/ z y)) (* 4 (/ 1 (* x y))))))
(/ -4 y)
(- (/ (* x z) y) (* 4 (/ 1 y)))
(- (/ (* x z) y) (* 4 (/ 1 y)))
(- (/ (* x z) y) (* 4 (/ 1 y)))
(/ (* x z) y)
(* z (- (/ x y) (* 4 (/ 1 (* y z)))))
(* z (- (/ x y) (* 4 (/ 1 (* y z)))))
(* z (- (/ x y) (* 4 (/ 1 (* y z)))))
(/ (* x z) y)
(* -1 (* z (+ (* -1 (/ x y)) (* 4 (/ 1 (* y z))))))
(* -1 (* z (+ (* -1 (/ x y)) (* 4 (/ 1 (* y z))))))
(* -1 (* z (+ (* -1 (/ x y)) (* 4 (/ 1 (* y z))))))
(/ (- (* x z) 4) y)
(/ (- (* x z) 4) y)
(/ (- (* x z) 4) y)
(/ (- (* x z) 4) y)
(/ (- (* x z) 4) y)
(/ (- (* x z) 4) y)
(/ (- (* x z) 4) y)
(/ (- (* x z) 4) y)
(/ (- (* x z) 4) y)
(/ (- (* x z) 4) y)
(/ (- (* x z) 4) y)
(/ (- (* x z) 4) y)
-4
(- (* x z) 4)
(- (* x z) 4)
(- (* x z) 4)
(* x z)
(* x (- z (* 4 (/ 1 x))))
(* x (- z (* 4 (/ 1 x))))
(* x (- z (* 4 (/ 1 x))))
(* x z)
(* -1 (* x (+ (* -1 z) (* 4 (/ 1 x)))))
(* -1 (* x (+ (* -1 z) (* 4 (/ 1 x)))))
(* -1 (* x (+ (* -1 z) (* 4 (/ 1 x)))))
-4
(- (* x z) 4)
(- (* x z) 4)
(- (* x z) 4)
(* x z)
(* z (- x (* 4 (/ 1 z))))
(* z (- x (* 4 (/ 1 z))))
(* z (- x (* 4 (/ 1 z))))
(* x z)
(* -1 (* z (+ (* -1 x) (* 4 (/ 1 z)))))
(* -1 (* z (+ (* -1 x) (* 4 (/ 1 z)))))
(* -1 (* z (+ (* -1 x) (* 4 (/ 1 z)))))
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(fabs (/ (+ (* 4 y) (* x y)) (pow y 2)))
(fabs (/ (+ (* 4 y) (* x y)) (pow y 2)))
(fabs (/ (+ (* 4 y) (* x y)) (pow y 2)))
(fabs (/ (+ (* 4 y) (* x y)) (pow y 2)))
(fabs (/ (+ (* 4 y) (* x y)) (pow y 2)))
(fabs (/ (+ (* 4 y) (* x y)) (pow y 2)))
(fabs (/ (+ (* 4 y) (* x y)) (pow y 2)))
(fabs (/ (+ (* 4 y) (* x y)) (pow y 2)))
(fabs (/ (- (* x y) (* -4 y)) (pow y 2)))
(fabs (/ (- (* x y) (* -4 y)) (pow y 2)))
(fabs (/ (- (* x y) (* -4 y)) (pow y 2)))
(fabs (/ (- (* x y) (* -4 y)) (pow y 2)))
(fabs (/ (+ (* 4 y) (* x y)) (pow y 2)))
(fabs (/ (+ (* 4 y) (* x y)) (pow y 2)))
(fabs (/ (+ (* 4 y) (* x y)) (pow y 2)))
(fabs (/ (+ (* 4 y) (* x y)) (pow y 2)))
(fabs (/ (+ (* 4 y) (* x y)) (pow y 2)))
(fabs (/ (+ (* 4 y) (* x y)) (pow y 2)))
(fabs (/ (+ (* 4 y) (* x y)) (pow y 2)))
(fabs (/ (+ (* 4 y) (* x y)) (pow y 2)))
(fabs (/ (+ (* 4 y) (* x y)) (pow y 2)))
(fabs (/ (+ (* 4 y) (* x y)) (pow y 2)))
(fabs (/ (+ (* 4 y) (* x y)) (pow y 2)))
(fabs (/ (+ (* 4 y) (* x y)) (pow y 2)))
(/ (+ 4 x) y)
(/ (+ 4 x) y)
(/ (+ 4 x) y)
(/ (+ 4 x) y)
(/ (+ 4 x) y)
(/ (+ 4 x) y)
(/ (+ 4 x) y)
(/ (+ 4 x) y)
(* -1 (/ (- (* -1 x) 4) y))
(* -1 (/ (- (* -1 x) 4) y))
(* -1 (/ (- (* -1 x) 4) y))
(* -1 (/ (- (* -1 x) 4) y))
(/ 4 y)
(+ (* 4 (/ 1 y)) (/ x y))
(+ (* 4 (/ 1 y)) (/ x y))
(+ (* 4 (/ 1 y)) (/ x y))
(/ x y)
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y)))))
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y)))))
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y)))))
(/ x y)
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y)))))
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y)))))
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y)))))
(+ 4 x)
(+ 4 x)
(+ 4 x)
(+ 4 x)
(+ 4 x)
(+ 4 x)
(+ 4 x)
(+ 4 x)
(* -1 (- (* -1 x) 4))
(* -1 (- (* -1 x) 4))
(* -1 (- (* -1 x) 4))
(* -1 (- (* -1 x) 4))
4
(+ 4 x)
(+ 4 x)
(+ 4 x)
x
(* x (+ 1 (* 4 (/ 1 x))))
(* x (+ 1 (* 4 (/ 1 x))))
(* x (+ 1 (* 4 (/ 1 x))))
x
(* x (+ 1 (* 4 (/ 1 x))))
(* x (+ 1 (* 4 (/ 1 x))))
(* x (+ 1 (* 4 (/ 1 x))))
(* y (+ 4 x))
(* y (+ 4 x))
(* y (+ 4 x))
(* y (+ 4 x))
(* y (+ 4 x))
(* y (+ 4 x))
(* y (+ 4 x))
(* y (+ 4 x))
(* -1 (* y (- (* -1 x) 4)))
(* -1 (* y (- (* -1 x) 4)))
(* -1 (* y (- (* -1 x) 4)))
(* -1 (* y (- (* -1 x) 4)))
(* 4 y)
(+ (* 4 y) (* x y))
(+ (* 4 y) (* x y))
(+ (* 4 y) (* x y))
(* x y)
(* x (+ y (* 4 (/ y x))))
(* x (+ y (* 4 (/ y x))))
(* x (+ y (* 4 (/ y x))))
(* x y)
(* -1 (* x (+ (* -4 (/ y x)) (* -1 y))))
(* -1 (* x (+ (* -4 (/ y x)) (* -1 y))))
(* -1 (* x (+ (* -4 (/ y x)) (* -1 y))))
Outputs
(/ 1 (fabs (/ y (- (* x z) (+ 4 x)))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (+.f64 (*.f64 x (+.f64 z #s(literal -1 binary64))) #s(literal -4 binary64)))))
(/ 1 (fabs (/ y (- (* x z) (+ 4 x)))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (+.f64 (*.f64 x (+.f64 z #s(literal -1 binary64))) #s(literal -4 binary64)))))
(/ 1 (fabs (/ y (- (* x z) (+ 4 x)))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (+.f64 (*.f64 x (+.f64 z #s(literal -1 binary64))) #s(literal -4 binary64)))))
(/ 1 (fabs (/ y (- (* x z) (+ 4 x)))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (+.f64 (*.f64 x (+.f64 z #s(literal -1 binary64))) #s(literal -4 binary64)))))
(/ 1 (fabs (/ y (- (* x z) (+ 4 x)))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (+.f64 (*.f64 x (+.f64 z #s(literal -1 binary64))) #s(literal -4 binary64)))))
(/ 1 (fabs (/ y (- (* x z) (+ 4 x)))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (+.f64 (*.f64 x (+.f64 z #s(literal -1 binary64))) #s(literal -4 binary64)))))
(/ 1 (fabs (/ y (- (* x z) (+ 4 x)))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (+.f64 (*.f64 x (+.f64 z #s(literal -1 binary64))) #s(literal -4 binary64)))))
(/ 1 (fabs (/ y (- (* x z) (+ 4 x)))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (+.f64 (*.f64 x (+.f64 z #s(literal -1 binary64))) #s(literal -4 binary64)))))
(/ 1 (fabs (/ y (- (* x z) (+ 4 x)))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (+.f64 (*.f64 x (+.f64 z #s(literal -1 binary64))) #s(literal -4 binary64)))))
(/ 1 (fabs (/ y (- (* x z) (+ 4 x)))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (+.f64 (*.f64 x (+.f64 z #s(literal -1 binary64))) #s(literal -4 binary64)))))
(/ 1 (fabs (/ y (- (* x z) (+ 4 x)))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (+.f64 (*.f64 x (+.f64 z #s(literal -1 binary64))) #s(literal -4 binary64)))))
(/ 1 (fabs (/ y (- (* x z) (+ 4 x)))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (+.f64 (*.f64 x (+.f64 z #s(literal -1 binary64))) #s(literal -4 binary64)))))
(/ 1 (fabs (/ y (- (* x z) (+ 4 x)))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (+.f64 (*.f64 x (+.f64 z #s(literal -1 binary64))) #s(literal -4 binary64)))))
(/ 1 (fabs (/ y (- (* x z) (+ 4 x)))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (+.f64 (*.f64 x (+.f64 z #s(literal -1 binary64))) #s(literal -4 binary64)))))
(/ 1 (fabs (/ y (- (* x z) (+ 4 x)))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (+.f64 (*.f64 x (+.f64 z #s(literal -1 binary64))) #s(literal -4 binary64)))))
(/ 1 (fabs (/ y (- (* x z) (+ 4 x)))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (+.f64 (*.f64 x (+.f64 z #s(literal -1 binary64))) #s(literal -4 binary64)))))
(/ 1 (fabs (/ y (- (* x z) (+ 4 x)))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (+.f64 (*.f64 x (+.f64 z #s(literal -1 binary64))) #s(literal -4 binary64)))))
(/ 1 (fabs (/ y (- (* x z) (+ 4 x)))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (+.f64 (*.f64 x (+.f64 z #s(literal -1 binary64))) #s(literal -4 binary64)))))
(/ 1 (fabs (/ y (- (* x z) (+ 4 x)))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (+.f64 (*.f64 x (+.f64 z #s(literal -1 binary64))) #s(literal -4 binary64)))))
(/ 1 (fabs (/ y (- (* x z) (+ 4 x)))))
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(/.f64 (+.f64 (*.f64 x z) #s(literal -4 binary64)) y)
(/ (- (* x z) 4) y)
(/.f64 (+.f64 (*.f64 x z) #s(literal -4 binary64)) y)
(/ (- (* x z) 4) y)
(/.f64 (+.f64 (*.f64 x z) #s(literal -4 binary64)) y)
(/ (- (* x z) 4) y)
(/.f64 (+.f64 (*.f64 x z) #s(literal -4 binary64)) y)
(/ (- (* x z) 4) y)
(/.f64 (+.f64 (*.f64 x z) #s(literal -4 binary64)) y)
(/ (- (* x z) 4) y)
(/.f64 (+.f64 (*.f64 x z) #s(literal -4 binary64)) y)
(/ (- (* x z) 4) y)
(/.f64 (+.f64 (*.f64 x z) #s(literal -4 binary64)) y)
(/ (- (* x z) 4) y)
(/.f64 (+.f64 (*.f64 x z) #s(literal -4 binary64)) y)
(/ (- (* x z) 4) y)
(/.f64 (+.f64 (*.f64 x z) #s(literal -4 binary64)) y)
(/ (- (* x z) 4) y)
(/.f64 (+.f64 (*.f64 x z) #s(literal -4 binary64)) y)
-4
#s(literal -4 binary64)
(- (* x z) 4)
(+.f64 (*.f64 x z) #s(literal -4 binary64))
(- (* x z) 4)
(+.f64 (*.f64 x z) #s(literal -4 binary64))
(- (* x z) 4)
(+.f64 (*.f64 x z) #s(literal -4 binary64))
(* x z)
(*.f64 x z)
(* x (- z (* 4 (/ 1 x))))
(+.f64 (*.f64 x z) #s(literal -4 binary64))
(* x (- z (* 4 (/ 1 x))))
(+.f64 (*.f64 x z) #s(literal -4 binary64))
(* x (- z (* 4 (/ 1 x))))
(+.f64 (*.f64 x z) #s(literal -4 binary64))
(* x z)
(*.f64 x z)
(* -1 (* x (+ (* -1 z) (* 4 (/ 1 x)))))
(+.f64 (*.f64 x z) #s(literal -4 binary64))
(* -1 (* x (+ (* -1 z) (* 4 (/ 1 x)))))
(+.f64 (*.f64 x z) #s(literal -4 binary64))
(* -1 (* x (+ (* -1 z) (* 4 (/ 1 x)))))
(+.f64 (*.f64 x z) #s(literal -4 binary64))
-4
#s(literal -4 binary64)
(- (* x z) 4)
(+.f64 (*.f64 x z) #s(literal -4 binary64))
(- (* x z) 4)
(+.f64 (*.f64 x z) #s(literal -4 binary64))
(- (* x z) 4)
(+.f64 (*.f64 x z) #s(literal -4 binary64))
(* x z)
(*.f64 x z)
(* z (- x (* 4 (/ 1 z))))
(+.f64 (*.f64 x z) #s(literal -4 binary64))
(* z (- x (* 4 (/ 1 z))))
(+.f64 (*.f64 x z) #s(literal -4 binary64))
(* z (- x (* 4 (/ 1 z))))
(+.f64 (*.f64 x z) #s(literal -4 binary64))
(* x z)
(*.f64 x z)
(* -1 (* z (+ (* -1 x) (* 4 (/ 1 z)))))
(+.f64 (*.f64 x z) #s(literal -4 binary64))
(* -1 (* z (+ (* -1 x) (* 4 (/ 1 z)))))
(+.f64 (*.f64 x z) #s(literal -4 binary64))
(* -1 (* z (+ (* -1 x) (* 4 (/ 1 z)))))
(+.f64 (*.f64 x z) #s(literal -4 binary64))
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(fabs (/ (+ (* 4 y) (* x y)) (pow y 2)))
(fabs.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y))
(fabs (/ (+ (* 4 y) (* x y)) (pow y 2)))
(fabs.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y))
(fabs (/ (+ (* 4 y) (* x y)) (pow y 2)))
(fabs.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y))
(fabs (/ (+ (* 4 y) (* x y)) (pow y 2)))
(fabs.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y))
(fabs (/ (+ (* 4 y) (* x y)) (pow y 2)))
(fabs.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y))
(fabs (/ (+ (* 4 y) (* x y)) (pow y 2)))
(fabs.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y))
(fabs (/ (+ (* 4 y) (* x y)) (pow y 2)))
(fabs.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y))
(fabs (/ (+ (* 4 y) (* x y)) (pow y 2)))
(fabs.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y))
(fabs (/ (- (* x y) (* -4 y)) (pow y 2)))
(fabs.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y))
(fabs (/ (- (* x y) (* -4 y)) (pow y 2)))
(fabs.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y))
(fabs (/ (- (* x y) (* -4 y)) (pow y 2)))
(fabs.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y))
(fabs (/ (- (* x y) (* -4 y)) (pow y 2)))
(fabs.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y))
(fabs (/ (+ (* 4 y) (* x y)) (pow y 2)))
(fabs.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y))
(fabs (/ (+ (* 4 y) (* x y)) (pow y 2)))
(fabs.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y))
(fabs (/ (+ (* 4 y) (* x y)) (pow y 2)))
(fabs.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y))
(fabs (/ (+ (* 4 y) (* x y)) (pow y 2)))
(fabs.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y))
(fabs (/ (+ (* 4 y) (* x y)) (pow y 2)))
(fabs.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y))
(fabs (/ (+ (* 4 y) (* x y)) (pow y 2)))
(fabs.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y))
(fabs (/ (+ (* 4 y) (* x y)) (pow y 2)))
(fabs.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y))
(fabs (/ (+ (* 4 y) (* x y)) (pow y 2)))
(fabs.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y))
(fabs (/ (+ (* 4 y) (* x y)) (pow y 2)))
(fabs.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y))
(fabs (/ (+ (* 4 y) (* x y)) (pow y 2)))
(fabs.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y))
(fabs (/ (+ (* 4 y) (* x y)) (pow y 2)))
(fabs.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y))
(fabs (/ (+ (* 4 y) (* x y)) (pow y 2)))
(fabs.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y))
(/ (+ 4 x) y)
(/.f64 (+.f64 x #s(literal 4 binary64)) y)
(/ (+ 4 x) y)
(/.f64 (+.f64 x #s(literal 4 binary64)) y)
(/ (+ 4 x) y)
(/.f64 (+.f64 x #s(literal 4 binary64)) y)
(/ (+ 4 x) y)
(/.f64 (+.f64 x #s(literal 4 binary64)) y)
(/ (+ 4 x) y)
(/.f64 (+.f64 x #s(literal 4 binary64)) y)
(/ (+ 4 x) y)
(/.f64 (+.f64 x #s(literal 4 binary64)) y)
(/ (+ 4 x) y)
(/.f64 (+.f64 x #s(literal 4 binary64)) y)
(/ (+ 4 x) y)
(/.f64 (+.f64 x #s(literal 4 binary64)) y)
(* -1 (/ (- (* -1 x) 4) y))
(/.f64 (+.f64 x #s(literal 4 binary64)) y)
(* -1 (/ (- (* -1 x) 4) y))
(/.f64 (+.f64 x #s(literal 4 binary64)) y)
(* -1 (/ (- (* -1 x) 4) y))
(/.f64 (+.f64 x #s(literal 4 binary64)) y)
(* -1 (/ (- (* -1 x) 4) y))
(/.f64 (+.f64 x #s(literal 4 binary64)) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(+ (* 4 (/ 1 y)) (/ x y))
(+.f64 (/.f64 x y) (/.f64 #s(literal 4 binary64) y))
(+ (* 4 (/ 1 y)) (/ x y))
(+.f64 (/.f64 x y) (/.f64 #s(literal 4 binary64) y))
(+ (* 4 (/ 1 y)) (/ x y))
(+.f64 (/.f64 x y) (/.f64 #s(literal 4 binary64) y))
(/ x y)
(/.f64 x y)
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y)))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 4 binary64) (*.f64 y x))))
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y)))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 4 binary64) (*.f64 y x))))
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y)))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 4 binary64) (*.f64 y x))))
(/ x y)
(/.f64 x y)
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y)))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 4 binary64) (*.f64 y x))))
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y)))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 4 binary64) (*.f64 y x))))
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y)))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 4 binary64) (*.f64 y x))))
(+ 4 x)
(+.f64 x #s(literal 4 binary64))
(+ 4 x)
(+.f64 x #s(literal 4 binary64))
(+ 4 x)
(+.f64 x #s(literal 4 binary64))
(+ 4 x)
(+.f64 x #s(literal 4 binary64))
(+ 4 x)
(+.f64 x #s(literal 4 binary64))
(+ 4 x)
(+.f64 x #s(literal 4 binary64))
(+ 4 x)
(+.f64 x #s(literal 4 binary64))
(+ 4 x)
(+.f64 x #s(literal 4 binary64))
(* -1 (- (* -1 x) 4))
(+.f64 x #s(literal 4 binary64))
(* -1 (- (* -1 x) 4))
(+.f64 x #s(literal 4 binary64))
(* -1 (- (* -1 x) 4))
(+.f64 x #s(literal 4 binary64))
(* -1 (- (* -1 x) 4))
(+.f64 x #s(literal 4 binary64))
4
#s(literal 4 binary64)
(+ 4 x)
(+.f64 x #s(literal 4 binary64))
(+ 4 x)
(+.f64 x #s(literal 4 binary64))
(+ 4 x)
(+.f64 x #s(literal 4 binary64))
x
(* x (+ 1 (* 4 (/ 1 x))))
(+.f64 x #s(literal 4 binary64))
(* x (+ 1 (* 4 (/ 1 x))))
(+.f64 x #s(literal 4 binary64))
(* x (+ 1 (* 4 (/ 1 x))))
(+.f64 x #s(literal 4 binary64))
x
(* x (+ 1 (* 4 (/ 1 x))))
(+.f64 x #s(literal 4 binary64))
(* x (+ 1 (* 4 (/ 1 x))))
(+.f64 x #s(literal 4 binary64))
(* x (+ 1 (* 4 (/ 1 x))))
(+.f64 x #s(literal 4 binary64))
(* y (+ 4 x))
(*.f64 y (+.f64 x #s(literal 4 binary64)))
(* y (+ 4 x))
(*.f64 y (+.f64 x #s(literal 4 binary64)))
(* y (+ 4 x))
(*.f64 y (+.f64 x #s(literal 4 binary64)))
(* y (+ 4 x))
(*.f64 y (+.f64 x #s(literal 4 binary64)))
(* y (+ 4 x))
(*.f64 y (+.f64 x #s(literal 4 binary64)))
(* y (+ 4 x))
(*.f64 y (+.f64 x #s(literal 4 binary64)))
(* y (+ 4 x))
(*.f64 y (+.f64 x #s(literal 4 binary64)))
(* y (+ 4 x))
(*.f64 y (+.f64 x #s(literal 4 binary64)))
(* -1 (* y (- (* -1 x) 4)))
(*.f64 y (+.f64 x #s(literal 4 binary64)))
(* -1 (* y (- (* -1 x) 4)))
(*.f64 y (+.f64 x #s(literal 4 binary64)))
(* -1 (* y (- (* -1 x) 4)))
(*.f64 y (+.f64 x #s(literal 4 binary64)))
(* -1 (* y (- (* -1 x) 4)))
(*.f64 y (+.f64 x #s(literal 4 binary64)))
(* 4 y)
(*.f64 y #s(literal 4 binary64))
(+ (* 4 y) (* x y))
(*.f64 y (+.f64 x #s(literal 4 binary64)))
(+ (* 4 y) (* x y))
(*.f64 y (+.f64 x #s(literal 4 binary64)))
(+ (* 4 y) (* x y))
(*.f64 y (+.f64 x #s(literal 4 binary64)))
(* x y)
(*.f64 y x)
(* x (+ y (* 4 (/ y x))))
(*.f64 x (+.f64 y (/.f64 (*.f64 y #s(literal 4 binary64)) x)))
(* x (+ y (* 4 (/ y x))))
(*.f64 x (+.f64 y (/.f64 (*.f64 y #s(literal 4 binary64)) x)))
(* x (+ y (* 4 (/ y x))))
(*.f64 x (+.f64 y (/.f64 (*.f64 y #s(literal 4 binary64)) x)))
(* x y)
(*.f64 y x)
(* -1 (* x (+ (* -4 (/ y x)) (* -1 y))))
(*.f64 x (+.f64 y (/.f64 (*.f64 y #s(literal 4 binary64)) x)))
(* -1 (* x (+ (* -4 (/ y x)) (* -1 y))))
(*.f64 x (+.f64 y (/.f64 (*.f64 y #s(literal 4 binary64)) x)))
(* -1 (* x (+ (* -4 (/ y x)) (* -1 y))))
(*.f64 x (+.f64 y (/.f64 (*.f64 y #s(literal 4 binary64)) x)))

eval152.0ms (1.5%)

Compiler

Compiled 21977 to 2949 computations (86.6% saved)

prune161.0ms (1.5%)

Pruning

13 alts after pruning (6 fresh and 7 done)

PrunedKeptTotal
New130531308
Fresh033
Picked145
Done033
Total1306131319
Accuracy
100.0%
Counts
1319 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.1%
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (-.f64 (*.f64 x z) (+.f64 #s(literal 4 binary64) x)))))
69.7%
(fabs.f64 (/.f64 (-.f64 (*.f64 x z) #s(literal 4 binary64)) y))
61.3%
(fabs.f64 (/.f64 (-.f64 x (*.f64 x z)) y))
68.6%
(fabs.f64 (/.f64 (-.f64 #s(literal -4 binary64) x) y))
36.0%
(fabs.f64 (/.f64 (*.f64 x z) y))
34.0%
(fabs.f64 (/.f64 x y))
37.9%
(fabs.f64 (/.f64 #s(literal 4 binary64) y))
60.9%
(fabs.f64 (-.f64 (/.f64 x y) (*.f64 x (/.f64 z y))))
75.9%
(fabs.f64 (-.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (/.f64 x y) z)))
42.2%
(fabs.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (/.f64 x y))))
37.5%
(fabs.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (/.f64 z y))))
68.6%
(fabs.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 x y)))
48.3%
(fabs.f64 (*.f64 y (/.f64 (+.f64 x #s(literal 4 binary64)) (*.f64 y y))))
Compiler

Compiled 207 to 145 computations (30% saved)

simplify188.0ms (1.8%)

Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 x #s(literal 4 binary64))
cost-diff0
(/.f64 (+.f64 x #s(literal 4 binary64)) (*.f64 y y))
cost-diff256
(*.f64 y (/.f64 (+.f64 x #s(literal 4 binary64)) (*.f64 y y)))
cost-diff256
(fabs.f64 (*.f64 y (/.f64 (+.f64 x #s(literal 4 binary64)) (*.f64 y y))))
cost-diff0
(*.f64 x z)
cost-diff0
(-.f64 x (*.f64 x z))
cost-diff0
(/.f64 (-.f64 x (*.f64 x z)) y)
cost-diff0
(fabs.f64 (/.f64 (-.f64 x (*.f64 x z)) y))
cost-diff0
(/.f64 z y)
cost-diff0
(*.f64 x (/.f64 z y))
cost-diff0
(-.f64 #s(literal 0 binary64) (*.f64 x (/.f64 z y)))
cost-diff128
(fabs.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (/.f64 z y))))
cost-diff0
(*.f64 x z)
cost-diff0
(/.f64 (*.f64 x z) y)
cost-diff0
(fabs.f64 (/.f64 (*.f64 x z) y))
cost-diff0
(-.f64 #s(literal -4 binary64) x)
cost-diff0
(/.f64 (-.f64 #s(literal -4 binary64) x) y)
cost-diff0
(fabs.f64 (/.f64 (-.f64 #s(literal -4 binary64) x) y))
Rules
2166×*-lowering-*.f32
2166×*-lowering-*.f64
1446×sum5-define
1286×sum4-define
1206×times-frac
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
024115
160115
2135110
3273108
4521108
51355108
66516108
08053108
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(fabs (/ (- -4 x) y))
(/ (- -4 x) y)
(- -4 x)
-4
x
y
(fabs (/ (* x z) y))
(/ (* x z) y)
(* x z)
x
z
y
(fabs (- 0 (* x (/ z y))))
(- 0 (* x (/ z y)))
0
(* x (/ z y))
x
(/ z y)
z
y
(fabs (/ (- x (* x z)) y))
(/ (- x (* x z)) y)
(- x (* x z))
x
(* x z)
z
y
(fabs (* y (/ (+ x 4) (* y y))))
(* y (/ (+ x 4) (* y y)))
y
(/ (+ x 4) (* y y))
(+ x 4)
x
4
(* y y)
Outputs
(fabs (/ (- -4 x) y))
(fabs.f64 (/.f64 (-.f64 #s(literal -4 binary64) x) y))
(/ (- -4 x) y)
(/.f64 (-.f64 #s(literal -4 binary64) x) y)
(- -4 x)
(-.f64 #s(literal -4 binary64) x)
-4
#s(literal -4 binary64)
x
y
(fabs (/ (* x z) y))
(fabs.f64 (*.f64 x (/.f64 z y)))
(/ (* x z) y)
(*.f64 x (/.f64 z y))
(* x z)
(*.f64 x z)
x
z
y
(fabs (- 0 (* x (/ z y))))
(fabs.f64 (*.f64 x (/.f64 z y)))
(- 0 (* x (/ z y)))
(-.f64 #s(literal 0 binary64) (*.f64 x (/.f64 z y)))
0
#s(literal 0 binary64)
(* x (/ z y))
(*.f64 x (/.f64 z y))
x
(/ z y)
(/.f64 z y)
z
y
(fabs (/ (- x (* x z)) y))
(fabs.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y))
(/ (- x (* x z)) y)
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)
(- x (* x z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
x
(* x z)
(*.f64 x z)
z
y
(fabs (* y (/ (+ x 4) (* y y))))
(fabs.f64 (/.f64 (-.f64 #s(literal -4 binary64) x) y))
(* y (/ (+ x 4) (* y y)))
(/.f64 (+.f64 x #s(literal 4 binary64)) y)
y
(/ (+ x 4) (* y y))
(/.f64 (+.f64 x #s(literal 4 binary64)) (*.f64 y y))
(+ x 4)
(+.f64 x #s(literal 4 binary64))
x
4
#s(literal 4 binary64)
(* y y)
(*.f64 y y)

localize112.0ms (1.1%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 y y)
accuracy100.0%
(fabs.f64 (*.f64 y (/.f64 (+.f64 x #s(literal 4 binary64)) (*.f64 y y))))
accuracy94.8%
(/.f64 (+.f64 x #s(literal 4 binary64)) (*.f64 y y))
accuracy69.0%
(*.f64 y (/.f64 (+.f64 x #s(literal 4 binary64)) (*.f64 y y)))
accuracy100.0%
(*.f64 x z)
accuracy100.0%
(fabs.f64 (/.f64 (-.f64 x (*.f64 x z)) y))
accuracy100.0%
(-.f64 x (*.f64 x z))
accuracy96.2%
(/.f64 (-.f64 x (*.f64 x z)) y)
accuracy100.0%
(/.f64 z y)
accuracy100.0%
(-.f64 #s(literal 0 binary64) (*.f64 x (/.f64 z y)))
accuracy100.0%
(fabs.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (/.f64 z y))))
accuracy91.9%
(*.f64 x (/.f64 z y))
accuracy100.0%
(*.f64 x z)
accuracy100.0%
(fabs.f64 (/.f64 (*.f64 x z) y))
accuracy92.4%
(/.f64 (*.f64 x z) y)
accuracy100.0%
(-.f64 #s(literal -4 binary64) x)
accuracy100.0%
(fabs.f64 (/.f64 (-.f64 #s(literal -4 binary64) x) y))
accuracy100.0%
(/.f64 (-.f64 #s(literal -4 binary64) x) y)
Results
66.0ms256×0valid
Compiler

Compiled 126 to 25 computations (80.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-fabs: 10.0ms (30.2% of total)
ival-mult: 9.0ms (27.2% of total)
ival-div: 8.0ms (24.2% of total)
ival-sub: 4.0ms (12.1% of total)
ival-add: 1.0ms (3% of total)
const: 1.0ms (3% of total)
backward-pass: 0.0ms (0% of total)

series44.0ms (0.4%)

Counts
18 → 480
Calls
Call 1
Inputs
#<alt (fabs (/ (- -4 x) y))>
#<alt (/ (- -4 x) y)>
#<alt (- -4 x)>
#<alt (fabs (/ (* x z) y))>
#<alt (/ (* x z) y)>
#<alt (* x z)>
#<alt (fabs (- 0 (* x (/ z y))))>
#<alt (- 0 (* x (/ z y)))>
#<alt (* x (/ z y))>
#<alt (/ z y)>
#<alt (fabs (/ (- x (* x z)) y))>
#<alt (/ (- x (* x z)) y)>
#<alt (- x (* x z))>
#<alt (fabs (* y (/ (+ x 4) (* y y))))>
#<alt (* y (/ (+ x 4) (* y y)))>
#<alt (/ (+ x 4) (* y y))>
#<alt (+ x 4)>
#<alt (* y y)>
Outputs
#<alt (fabs (* -1 (/ (+ 4 x) y)))>
#<alt (fabs (* -1 (/ (+ 4 x) y)))>
#<alt (fabs (* -1 (/ (+ 4 x) y)))>
#<alt (fabs (* -1 (/ (+ 4 x) y)))>
#<alt (fabs (* -1 (/ (+ 4 x) y)))>
#<alt (fabs (* -1 (/ (+ 4 x) y)))>
#<alt (fabs (* -1 (/ (+ 4 x) y)))>
#<alt (fabs (* -1 (/ (+ 4 x) y)))>
#<alt (fabs (/ (- (* -1 x) 4) y))>
#<alt (fabs (/ (- (* -1 x) 4) y))>
#<alt (fabs (/ (- (* -1 x) 4) y))>
#<alt (fabs (/ (- (* -1 x) 4) y))>
#<alt (fabs (* -1 (/ (+ 4 x) y)))>
#<alt (fabs (* -1 (/ (+ 4 x) y)))>
#<alt (fabs (* -1 (/ (+ 4 x) y)))>
#<alt (fabs (* -1 (/ (+ 4 x) y)))>
#<alt (fabs (* -1 (/ (+ 4 x) y)))>
#<alt (fabs (* -1 (/ (+ 4 x) y)))>
#<alt (fabs (* -1 (/ (+ 4 x) y)))>
#<alt (fabs (* -1 (/ (+ 4 x) y)))>
#<alt (fabs (* -1 (/ (+ 4 x) y)))>
#<alt (fabs (* -1 (/ (+ 4 x) y)))>
#<alt (fabs (* -1 (/ (+ 4 x) y)))>
#<alt (fabs (* -1 (/ (+ 4 x) y)))>
#<alt (/ -4 y)>
#<alt (- (* -1 (/ x y)) (* 4 (/ 1 y)))>
#<alt (- (* -1 (/ x y)) (* 4 (/ 1 y)))>
#<alt (- (* -1 (/ x y)) (* 4 (/ 1 y)))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))))>
#<alt (* -1 (* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))))>
#<alt (* -1 (* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))))>
#<alt (* -1 (* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))))>
#<alt (* -1 (* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))))>
#<alt (* -1 (/ (+ 4 x) y))>
#<alt (* -1 (/ (+ 4 x) y))>
#<alt (* -1 (/ (+ 4 x) y))>
#<alt (* -1 (/ (+ 4 x) y))>
#<alt (* -1 (/ (+ 4 x) y))>
#<alt (* -1 (/ (+ 4 x) y))>
#<alt (* -1 (/ (+ 4 x) y))>
#<alt (* -1 (/ (+ 4 x) y))>
#<alt (* -1 (/ (+ 4 x) y))>
#<alt (* -1 (/ (+ 4 x) y))>
#<alt (* -1 (/ (+ 4 x) y))>
#<alt (* -1 (/ (+ 4 x) y))>
#<alt -4>
#<alt (- (* -1 x) 4)>
#<alt (- (* -1 x) 4)>
#<alt (- (* -1 x) 4)>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* 4 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1 (* 4 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1 (* 4 (/ 1 x)))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* 4 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1 (* 4 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1 (* 4 (/ 1 x)))))>
#<alt (fabs (/ (* x z) y))>
#<alt (fabs (/ (* x z) y))>
#<alt (fabs (/ (* x z) y))>
#<alt (fabs (/ (* x z) y))>
#<alt (fabs (/ (* x z) y))>
#<alt (fabs (/ (* x z) y))>
#<alt (fabs (/ (* x z) y))>
#<alt (fabs (/ (* x z) y))>
#<alt (fabs (/ (* x z) y))>
#<alt (fabs (/ (* x z) y))>
#<alt (fabs (/ (* x z) y))>
#<alt (fabs (/ (* x z) y))>
#<alt (fabs (/ (* x z) y))>
#<alt (fabs (/ (* x z) y))>
#<alt (fabs (/ (* x z) y))>
#<alt (fabs (/ (* x z) y))>
#<alt (fabs (/ (* x z) y))>
#<alt (fabs (/ (* x z) y))>
#<alt (fabs (/ (* x z) y))>
#<alt (fabs (/ (* x z) y))>
#<alt (fabs (/ (* x z) y))>
#<alt (fabs (/ (* x z) y))>
#<alt (fabs (/ (* x z) y))>
#<alt (fabs (/ (* x z) y))>
#<alt (fabs (/ (* x z) y))>
#<alt (fabs (/ (* x z) y))>
#<alt (fabs (/ (* x z) y))>
#<alt (fabs (/ (* x z) y))>
#<alt (fabs (/ (* x z) y))>
#<alt (fabs (/ (* x z) y))>
#<alt (fabs (/ (* x z) y))>
#<alt (fabs (/ (* x z) y))>
#<alt (fabs (/ (* x z) y))>
#<alt (fabs (/ (* x z) y))>
#<alt (fabs (/ (* x z) y))>
#<alt (fabs (/ (* x z) y))>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (fabs (neg (/ (* x z) y)))>
#<alt (fabs (neg (/ (* x z) y)))>
#<alt (fabs (neg (/ (* x z) y)))>
#<alt (fabs (neg (/ (* x z) y)))>
#<alt (fabs (neg (/ (* x z) y)))>
#<alt (fabs (neg (/ (* x z) y)))>
#<alt (fabs (neg (/ (* x z) y)))>
#<alt (fabs (neg (/ (* x z) y)))>
#<alt (fabs (neg (/ (* x z) y)))>
#<alt (fabs (neg (/ (* x z) y)))>
#<alt (fabs (neg (/ (* x z) y)))>
#<alt (fabs (neg (/ (* x z) y)))>
#<alt (fabs (neg (/ (* x z) y)))>
#<alt (fabs (neg (/ (* x z) y)))>
#<alt (fabs (neg (/ (* x z) y)))>
#<alt (fabs (neg (/ (* x z) y)))>
#<alt (fabs (neg (/ (* x z) y)))>
#<alt (fabs (neg (/ (* x z) y)))>
#<alt (fabs (neg (/ (* x z) y)))>
#<alt (fabs (neg (/ (* x z) y)))>
#<alt (fabs (neg (/ (* x z) y)))>
#<alt (fabs (neg (/ (* x z) y)))>
#<alt (fabs (neg (/ (* x z) y)))>
#<alt (fabs (neg (/ (* x z) y)))>
#<alt (fabs (neg (/ (* x z) y)))>
#<alt (fabs (neg (/ (* x z) y)))>
#<alt (fabs (neg (/ (* x z) y)))>
#<alt (fabs (neg (/ (* x z) y)))>
#<alt (fabs (neg (/ (* x z) y)))>
#<alt (fabs (neg (/ (* x z) y)))>
#<alt (fabs (neg (/ (* x z) y)))>
#<alt (fabs (neg (/ (* x z) y)))>
#<alt (fabs (neg (/ (* x z) y)))>
#<alt (fabs (neg (/ (* x z) y)))>
#<alt (fabs (neg (/ (* x z) y)))>
#<alt (fabs (neg (/ (* x z) y)))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
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#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
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#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
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#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
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#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (fabs (/ (- x (* x z)) y))>
#<alt (fabs (/ (- x (* x z)) y))>
#<alt (fabs (/ (- x (* x z)) y))>
#<alt (fabs (/ (- x (* x z)) y))>
#<alt (fabs (/ (- x (* x z)) y))>
#<alt (fabs (/ (- x (* x z)) y))>
#<alt (fabs (/ (- x (* x z)) y))>
#<alt (fabs (/ (- x (* x z)) y))>
#<alt (fabs (* -1 (/ (+ (* -1 x) (* x z)) y)))>
#<alt (fabs (* -1 (/ (+ (* -1 x) (* x z)) y)))>
#<alt (fabs (* -1 (/ (+ (* -1 x) (* x z)) y)))>
#<alt (fabs (* -1 (/ (+ (* -1 x) (* x z)) y)))>
#<alt (fabs (/ (- x (* x z)) y))>
#<alt (fabs (/ (- x (* x z)) y))>
#<alt (fabs (/ (- x (* x z)) y))>
#<alt (fabs (/ (- x (* x z)) y))>
#<alt (fabs (/ (- x (* x z)) y))>
#<alt (fabs (/ (- x (* x z)) y))>
#<alt (fabs (/ (- x (* x z)) y))>
#<alt (fabs (/ (- x (* x z)) y))>
#<alt (fabs (/ (- x (* x z)) y))>
#<alt (fabs (/ (- x (* x z)) y))>
#<alt (fabs (/ (- x (* x z)) y))>
#<alt (fabs (/ (- x (* x z)) y))>
#<alt (fabs (/ (- x (* x z)) y))>
#<alt (fabs (/ (- x (* x z)) y))>
#<alt (fabs (/ (- x (* x z)) y))>
#<alt (fabs (/ (- x (* x z)) y))>
#<alt (fabs (/ (- x (* x z)) y))>
#<alt (fabs (/ (- x (* x z)) y))>
#<alt (fabs (/ (- x (* x z)) y))>
#<alt (fabs (/ (- x (* x z)) y))>
#<alt (fabs (/ (- x (* x z)) y))>
#<alt (fabs (/ (- x (* x z)) y))>
#<alt (fabs (/ (- x (* x z)) y))>
#<alt (fabs (/ (- x (* x z)) y))>
#<alt (/ (* x (- 1 z)) y)>
#<alt (/ (* x (- 1 z)) y)>
#<alt (/ (* x (- 1 z)) y)>
#<alt (/ (* x (- 1 z)) y)>
#<alt (/ (* x (- 1 z)) y)>
#<alt (/ (* x (- 1 z)) y)>
#<alt (/ (* x (- 1 z)) y)>
#<alt (/ (* x (- 1 z)) y)>
#<alt (/ (* x (+ 1 (* -1 z))) y)>
#<alt (/ (* x (+ 1 (* -1 z))) y)>
#<alt (/ (* x (+ 1 (* -1 z))) y)>
#<alt (/ (* x (+ 1 (* -1 z))) y)>
#<alt (/ x y)>
#<alt (+ (* -1 (/ (* x z) y)) (/ x y))>
#<alt (+ (* -1 (/ (* x z) y)) (/ x y))>
#<alt (+ (* -1 (/ (* x z) y)) (/ x y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* z (+ (* -1 (/ x y)) (/ x (* y z))))>
#<alt (* z (+ (* -1 (/ x y)) (/ x (* y z))))>
#<alt (* z (+ (* -1 (/ x y)) (/ x (* y z))))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (* z (+ (* -1 (/ x (* y z))) (/ x y))))>
#<alt (* -1 (* z (+ (* -1 (/ x (* y z))) (/ x y))))>
#<alt (* -1 (* z (+ (* -1 (/ x (* y z))) (/ x y))))>
#<alt (/ (- x (* x z)) y)>
#<alt (/ (- x (* x z)) y)>
#<alt (/ (- x (* x z)) y)>
#<alt (/ (- x (* x z)) y)>
#<alt (/ (- x (* x z)) y)>
#<alt (/ (- x (* x z)) y)>
#<alt (/ (- x (* x z)) y)>
#<alt (/ (- x (* x z)) y)>
#<alt (/ (- x (* x z)) y)>
#<alt (/ (- x (* x z)) y)>
#<alt (/ (- x (* x z)) y)>
#<alt (/ (- x (* x z)) y)>
#<alt (* x (- 1 z))>
#<alt (* x (- 1 z))>
#<alt (* x (- 1 z))>
#<alt (* x (- 1 z))>
#<alt (* x (- 1 z))>
#<alt (* x (- 1 z))>
#<alt (* x (- 1 z))>
#<alt (* x (- 1 z))>
#<alt (* x (+ 1 (* -1 z)))>
#<alt (* x (+ 1 (* -1 z)))>
#<alt (* x (+ 1 (* -1 z)))>
#<alt (* x (+ 1 (* -1 z)))>
#<alt x>
#<alt (+ x (* -1 (* x z)))>
#<alt (+ x (* -1 (* x z)))>
#<alt (+ x (* -1 (* x z)))>
#<alt (* -1 (* x z))>
#<alt (* z (- (/ x z) x))>
#<alt (* z (- (/ x z) x))>
#<alt (* z (- (/ x z) x))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 x))))>
#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 x))))>
#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 x))))>
#<alt (fabs (/ (+ 4 x) y))>
#<alt (fabs (/ (+ 4 x) y))>
#<alt (fabs (/ (+ 4 x) y))>
#<alt (fabs (/ (+ 4 x) y))>
#<alt (fabs (/ (+ 4 x) y))>
#<alt (fabs (/ (+ 4 x) y))>
#<alt (fabs (/ (+ 4 x) y))>
#<alt (fabs (/ (+ 4 x) y))>
#<alt (fabs (/ (+ 4 x) y))>
#<alt (fabs (/ (+ 4 x) y))>
#<alt (fabs (/ (+ 4 x) y))>
#<alt (fabs (/ (+ 4 x) y))>
#<alt (fabs (/ (+ 4 x) y))>
#<alt (fabs (/ (+ 4 x) y))>
#<alt (fabs (/ (+ 4 x) y))>
#<alt (fabs (/ (+ 4 x) y))>
#<alt (fabs (/ (+ 4 x) y))>
#<alt (fabs (/ (+ 4 x) y))>
#<alt (fabs (/ (+ 4 x) y))>
#<alt (fabs (/ (+ 4 x) y))>
#<alt (fabs (/ (- 4 (* -1 x)) y))>
#<alt (fabs (/ (- 4 (* -1 x)) y))>
#<alt (fabs (/ (- 4 (* -1 x)) y))>
#<alt (fabs (/ (- 4 (* -1 x)) y))>
#<alt (/ (+ 4 x) y)>
#<alt (/ (+ 4 x) y)>
#<alt (/ (+ 4 x) y)>
#<alt (/ (+ 4 x) y)>
#<alt (/ (+ 4 x) y)>
#<alt (/ (+ 4 x) y)>
#<alt (/ (+ 4 x) y)>
#<alt (/ (+ 4 x) y)>
#<alt (/ (+ 4 x) y)>
#<alt (/ (+ 4 x) y)>
#<alt (/ (+ 4 x) y)>
#<alt (/ (+ 4 x) y)>
#<alt (/ 4 y)>
#<alt (+ (* 4 (/ 1 y)) (/ x y))>
#<alt (+ (* 4 (/ 1 y)) (/ x y))>
#<alt (+ (* 4 (/ 1 y)) (/ x y))>
#<alt (/ x y)>
#<alt (* x (+ (/ 1 y) (* 4 (/ 1 (* x y)))))>
#<alt (* x (+ (/ 1 y) (* 4 (/ 1 (* x y)))))>
#<alt (* x (+ (/ 1 y) (* 4 (/ 1 (* x y)))))>
#<alt (/ x y)>
#<alt (* x (+ (/ 1 y) (* 4 (/ 1 (* x y)))))>
#<alt (* x (+ (/ 1 y) (* 4 (/ 1 (* x y)))))>
#<alt (* x (+ (/ 1 y) (* 4 (/ 1 (* x y)))))>
#<alt (/ 4 (pow y 2))>
#<alt (+ (* 4 (/ 1 (pow y 2))) (/ x (pow y 2)))>
#<alt (+ (* 4 (/ 1 (pow y 2))) (/ x (pow y 2)))>
#<alt (+ (* 4 (/ 1 (pow y 2))) (/ x (pow y 2)))>
#<alt (/ x (pow y 2))>
#<alt (* x (+ (* 4 (/ 1 (* x (pow y 2)))) (/ 1 (pow y 2))))>
#<alt (* x (+ (* 4 (/ 1 (* x (pow y 2)))) (/ 1 (pow y 2))))>
#<alt (* x (+ (* 4 (/ 1 (* x (pow y 2)))) (/ 1 (pow y 2))))>
#<alt (/ x (pow y 2))>
#<alt (* x (+ (* 4 (/ 1 (* x (pow y 2)))) (/ 1 (pow y 2))))>
#<alt (* x (+ (* 4 (/ 1 (* x (pow y 2)))) (/ 1 (pow y 2))))>
#<alt (* x (+ (* 4 (/ 1 (* x (pow y 2)))) (/ 1 (pow y 2))))>
#<alt (/ (+ 4 x) (pow y 2))>
#<alt (/ (+ 4 x) (pow y 2))>
#<alt (/ (+ 4 x) (pow y 2))>
#<alt (/ (+ 4 x) (pow y 2))>
#<alt (/ (+ 4 x) (pow y 2))>
#<alt (/ (+ 4 x) (pow y 2))>
#<alt (/ (+ 4 x) (pow y 2))>
#<alt (/ (+ 4 x) (pow y 2))>
#<alt (/ (+ 4 x) (pow y 2))>
#<alt (/ (+ 4 x) (pow y 2))>
#<alt (/ (+ 4 x) (pow y 2))>
#<alt (/ (+ 4 x) (pow y 2))>
#<alt 4>
#<alt (+ 4 x)>
#<alt (+ 4 x)>
#<alt (+ 4 x)>
#<alt x>
#<alt (* x (+ 1 (* 4 (/ 1 x))))>
#<alt (* x (+ 1 (* 4 (/ 1 x))))>
#<alt (* x (+ 1 (* 4 (/ 1 x))))>
#<alt x>
#<alt (* x (+ 1 (* 4 (/ 1 x))))>
#<alt (* x (+ 1 (* 4 (/ 1 x))))>
#<alt (* x (+ 1 (* 4 (/ 1 x))))>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
Calls

120 calls:

TimeVariablePointExpression
32.0ms
x
@0
(/ (- x (* x z)) y)
1.0ms
x
@-inf
(/ (- x (* x z)) y)
0.0ms
y
@inf
(/ (- x (* x z)) y)
0.0ms
y
@0
(/ (- x (* x z)) y)
0.0ms
x
@0
(/ (+ x 4) (* y y))

rewrite378.0ms (3.6%)

Algorithm
batch-egg-rewrite
Rules
3916×/-lowering-/.f32
3916×/-lowering-/.f64
3290×*-lowering-*.f32
3290×*-lowering-*.f64
1308×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02496
114996
2118389
0859789
Stop Event
iter limit
node limit
Counts
18 → 1261
Calls
Call 1
Inputs
(fabs (/ (- -4 x) y))
(/ (- -4 x) y)
(- -4 x)
(fabs (/ (* x z) y))
(/ (* x z) y)
(* x z)
(fabs (- 0 (* x (/ z y))))
(- 0 (* x (/ z y)))
(* x (/ z y))
(/ z y)
(fabs (/ (- x (* x z)) y))
(/ (- x (* x z)) y)
(- x (* x z))
(fabs (* y (/ (+ x 4) (* y y))))
(* y (/ (+ x 4) (* y y)))
(/ (+ x 4) (* y y))
(+ x 4)
(* y y)
Outputs
(fabs.f64 (/.f64 (-.f64 #s(literal -4 binary64) x) y))
(fabs.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y))
(fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) #s(literal 0 binary64)))
(fabs.f64 (-.f64 (/.f64 (-.f64 #s(literal -4 binary64) x) y) #s(literal 0 binary64)))
(neg.f64 (/.f64 (fabs.f64 (-.f64 #s(literal -4 binary64) x)) (-.f64 #s(literal 0 binary64) (fabs.f64 y))))
(/.f64 (fabs.f64 y) (fabs.f64 (/.f64 y (/.f64 (+.f64 x #s(literal 4 binary64)) y))))
(/.f64 (fabs.f64 (-.f64 #s(literal -4 binary64) x)) (fabs.f64 y))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (-.f64 #s(literal -4 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (/.f64 y (-.f64 #s(literal -4 binary64) x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (fabs.f64 (*.f64 y (+.f64 x #s(literal 4 binary64))))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal -4 binary64) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 16 binary64) (+.f64 #s(literal -4 binary64) x)) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal -4 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal -4 binary64) x))) (+.f64 (*.f64 (/.f64 #s(literal 16 binary64) (+.f64 #s(literal -4 binary64) x)) (/.f64 #s(literal 16 binary64) (+.f64 #s(literal -4 binary64) x))) (*.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal -4 binary64) x)) (/.f64 #s(literal 16 binary64) (+.f64 #s(literal -4 binary64) x))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal -4 binary64) x) (-.f64 #s(literal -4 binary64) x))) (-.f64 #s(literal -4 binary64) x))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal -4 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal -4 binary64) x))) (*.f64 (/.f64 #s(literal 16 binary64) (+.f64 #s(literal -4 binary64) x)) (/.f64 #s(literal 16 binary64) (+.f64 #s(literal -4 binary64) x)))) (+.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal -4 binary64) x)) (/.f64 #s(literal 16 binary64) (+.f64 #s(literal -4 binary64) x))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))
(*.f64 (+.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))
(*.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (*.f64 x (+.f64 #s(literal -4 binary64) x)))))
(*.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (-.f64 #s(literal 16 binary64) (*.f64 x #s(literal 4 binary64))))))
(*.f64 (-.f64 #s(literal -64 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 16 binary64) (*.f64 x (+.f64 #s(literal -4 binary64) x))))))
(*.f64 (-.f64 #s(literal -64 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (-.f64 #s(literal 16 binary64) (*.f64 x #s(literal 4 binary64)))))))
(*.f64 (-.f64 #s(literal -64 binary64) (*.f64 x (*.f64 x x))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (*.f64 x (+.f64 #s(literal -4 binary64) x))))))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 4 binary64)))
(*.f64 (+.f64 (*.f64 x x) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -4 binary64) x)))
(*.f64 (-.f64 #s(literal 16 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) x)))
(*.f64 (-.f64 #s(literal 16 binary64) (*.f64 x x)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -4 binary64) x))))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -4 binary64) x))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -64 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (*.f64 x (+.f64 #s(literal -4 binary64) x)))))
(*.f64 (+.f64 #s(literal -16 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -4 binary64) x)))
(*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 16 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) x)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(fabs.f64 (*.f64 y y))
(fabs.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)))
(fabs.f64 (-.f64 (*.f64 y y) #s(literal 0 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y)))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)))
(/.f64 (*.f64 y y) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(*.f64 y y)
(*.f64 (*.f64 y y) #s(literal 1 binary64))
(*.f64 (fabs.f64 y) (fabs.f64 y))
(*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) y))
(*.f64 #s(literal 1 binary64) (*.f64 y y))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))

simplify246.0ms (2.4%)

Algorithm
egg-herbie
Rules
2386×*-lowering-*.f32
2386×*-lowering-*.f64
1292×fnmadd-define
1134×/-lowering-/.f32
1134×/-lowering-/.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0902740
12662602
26672509
321642488
080252488
Stop Event
iter limit
node limit
Counts
480 → 480
Calls
Call 1
Inputs
(fabs (* -1 (/ (+ 4 x) y)))
(fabs (* -1 (/ (+ 4 x) y)))
(fabs (* -1 (/ (+ 4 x) y)))
(fabs (* -1 (/ (+ 4 x) y)))
(fabs (* -1 (/ (+ 4 x) y)))
(fabs (* -1 (/ (+ 4 x) y)))
(fabs (* -1 (/ (+ 4 x) y)))
(fabs (* -1 (/ (+ 4 x) y)))
(fabs (/ (- (* -1 x) 4) y))
(fabs (/ (- (* -1 x) 4) y))
(fabs (/ (- (* -1 x) 4) y))
(fabs (/ (- (* -1 x) 4) y))
(fabs (* -1 (/ (+ 4 x) y)))
(fabs (* -1 (/ (+ 4 x) y)))
(fabs (* -1 (/ (+ 4 x) y)))
(fabs (* -1 (/ (+ 4 x) y)))
(fabs (* -1 (/ (+ 4 x) y)))
(fabs (* -1 (/ (+ 4 x) y)))
(fabs (* -1 (/ (+ 4 x) y)))
(fabs (* -1 (/ (+ 4 x) y)))
(fabs (* -1 (/ (+ 4 x) y)))
(fabs (* -1 (/ (+ 4 x) y)))
(fabs (* -1 (/ (+ 4 x) y)))
(fabs (* -1 (/ (+ 4 x) y)))
(/ -4 y)
(- (* -1 (/ x y)) (* 4 (/ 1 y)))
(- (* -1 (/ x y)) (* 4 (/ 1 y)))
(- (* -1 (/ x y)) (* 4 (/ 1 y)))
(* -1 (/ x y))
(* -1 (* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))))
(* -1 (* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))))
(* -1 (* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))))
(* -1 (/ x y))
(* -1 (* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))))
(* -1 (* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))))
(* -1 (* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))))
(* -1 (/ (+ 4 x) y))
(* -1 (/ (+ 4 x) y))
(* -1 (/ (+ 4 x) y))
(* -1 (/ (+ 4 x) y))
(* -1 (/ (+ 4 x) y))
(* -1 (/ (+ 4 x) y))
(* -1 (/ (+ 4 x) y))
(* -1 (/ (+ 4 x) y))
(* -1 (/ (+ 4 x) y))
(* -1 (/ (+ 4 x) y))
(* -1 (/ (+ 4 x) y))
(* -1 (/ (+ 4 x) y))
-4
(- (* -1 x) 4)
(- (* -1 x) 4)
(- (* -1 x) 4)
(* -1 x)
(* -1 (* x (+ 1 (* 4 (/ 1 x)))))
(* -1 (* x (+ 1 (* 4 (/ 1 x)))))
(* -1 (* x (+ 1 (* 4 (/ 1 x)))))
(* -1 x)
(* -1 (* x (+ 1 (* 4 (/ 1 x)))))
(* -1 (* x (+ 1 (* 4 (/ 1 x)))))
(* -1 (* x (+ 1 (* 4 (/ 1 x)))))
(fabs (/ (* x z) y))
(fabs (/ (* x z) y))
(fabs (/ (* x z) y))
(fabs (/ (* x z) y))
(fabs (/ (* x z) y))
(fabs (/ (* x z) y))
(fabs (/ (* x z) y))
(fabs (/ (* x z) y))
(fabs (/ (* x z) y))
(fabs (/ (* x z) y))
(fabs (/ (* x z) y))
(fabs (/ (* x z) y))
(fabs (/ (* x z) y))
(fabs (/ (* x z) y))
(fabs (/ (* x z) y))
(fabs (/ (* x z) y))
(fabs (/ (* x z) y))
(fabs (/ (* x z) y))
(fabs (/ (* x z) y))
(fabs (/ (* x z) y))
(fabs (/ (* x z) y))
(fabs (/ (* x z) y))
(fabs (/ (* x z) y))
(fabs (/ (* x z) y))
(fabs (/ (* x z) y))
(fabs (/ (* x z) y))
(fabs (/ (* x z) y))
(fabs (/ (* x z) y))
(fabs (/ (* x z) y))
(fabs (/ (* x z) y))
(fabs (/ (* x z) y))
(fabs (/ (* x z) y))
(fabs (/ (* x z) y))
(fabs (/ (* x z) y))
(fabs (/ (* x z) y))
(fabs (/ (* x z) y))
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(fabs (neg (/ (* x z) y)))
(fabs (neg (/ (* x z) y)))
(fabs (neg (/ (* x z) y)))
(fabs (neg (/ (* x z) y)))
(fabs (neg (/ (* x z) y)))
(fabs (neg (/ (* x z) y)))
(fabs (neg (/ (* x z) y)))
(fabs (neg (/ (* x z) y)))
(fabs (neg (/ (* x z) y)))
(fabs (neg (/ (* x z) y)))
(fabs (neg (/ (* x z) y)))
(fabs (neg (/ (* x z) y)))
(fabs (neg (/ (* x z) y)))
(fabs (neg (/ (* x z) y)))
(fabs (neg (/ (* x z) y)))
(fabs (neg (/ (* x z) y)))
(fabs (neg (/ (* x z) y)))
(fabs (neg (/ (* x z) y)))
(fabs (neg (/ (* x z) y)))
(fabs (neg (/ (* x z) y)))
(fabs (neg (/ (* x z) y)))
(fabs (neg (/ (* x z) y)))
(fabs (neg (/ (* x z) y)))
(fabs (neg (/ (* x z) y)))
(fabs (neg (/ (* x z) y)))
(fabs (neg (/ (* x z) y)))
(fabs (neg (/ (* x z) y)))
(fabs (neg (/ (* x z) y)))
(fabs (neg (/ (* x z) y)))
(fabs (neg (/ (* x z) y)))
(fabs (neg (/ (* x z) y)))
(fabs (neg (/ (* x z) y)))
(fabs (neg (/ (* x z) y)))
(fabs (neg (/ (* x z) y)))
(fabs (neg (/ (* x z) y)))
(fabs (neg (/ (* x z) y)))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(fabs (/ (- x (* x z)) y))
(fabs (/ (- x (* x z)) y))
(fabs (/ (- x (* x z)) y))
(fabs (/ (- x (* x z)) y))
(fabs (/ (- x (* x z)) y))
(fabs (/ (- x (* x z)) y))
(fabs (/ (- x (* x z)) y))
(fabs (/ (- x (* x z)) y))
(fabs (* -1 (/ (+ (* -1 x) (* x z)) y)))
(fabs (* -1 (/ (+ (* -1 x) (* x z)) y)))
(fabs (* -1 (/ (+ (* -1 x) (* x z)) y)))
(fabs (* -1 (/ (+ (* -1 x) (* x z)) y)))
(fabs (/ (- x (* x z)) y))
(fabs (/ (- x (* x z)) y))
(fabs (/ (- x (* x z)) y))
(fabs (/ (- x (* x z)) y))
(fabs (/ (- x (* x z)) y))
(fabs (/ (- x (* x z)) y))
(fabs (/ (- x (* x z)) y))
(fabs (/ (- x (* x z)) y))
(fabs (/ (- x (* x z)) y))
(fabs (/ (- x (* x z)) y))
(fabs (/ (- x (* x z)) y))
(fabs (/ (- x (* x z)) y))
(fabs (/ (- x (* x z)) y))
(fabs (/ (- x (* x z)) y))
(fabs (/ (- x (* x z)) y))
(fabs (/ (- x (* x z)) y))
(fabs (/ (- x (* x z)) y))
(fabs (/ (- x (* x z)) y))
(fabs (/ (- x (* x z)) y))
(fabs (/ (- x (* x z)) y))
(fabs (/ (- x (* x z)) y))
(fabs (/ (- x (* x z)) y))
(fabs (/ (- x (* x z)) y))
(fabs (/ (- x (* x z)) y))
(/ (* x (- 1 z)) y)
(/ (* x (- 1 z)) y)
(/ (* x (- 1 z)) y)
(/ (* x (- 1 z)) y)
(/ (* x (- 1 z)) y)
(/ (* x (- 1 z)) y)
(/ (* x (- 1 z)) y)
(/ (* x (- 1 z)) y)
(/ (* x (+ 1 (* -1 z))) y)
(/ (* x (+ 1 (* -1 z))) y)
(/ (* x (+ 1 (* -1 z))) y)
(/ (* x (+ 1 (* -1 z))) y)
(/ x y)
(+ (* -1 (/ (* x z) y)) (/ x y))
(+ (* -1 (/ (* x z) y)) (/ x y))
(+ (* -1 (/ (* x z) y)) (/ x y))
(* -1 (/ (* x z) y))
(* z (+ (* -1 (/ x y)) (/ x (* y z))))
(* z (+ (* -1 (/ x y)) (/ x (* y z))))
(* z (+ (* -1 (/ x y)) (/ x (* y z))))
(* -1 (/ (* x z) y))
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ x y))))
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ x y))))
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ x y))))
(/ (- x (* x z)) y)
(/ (- x (* x z)) y)
(/ (- x (* x z)) y)
(/ (- x (* x z)) y)
(/ (- x (* x z)) y)
(/ (- x (* x z)) y)
(/ (- x (* x z)) y)
(/ (- x (* x z)) y)
(/ (- x (* x z)) y)
(/ (- x (* x z)) y)
(/ (- x (* x z)) y)
(/ (- x (* x z)) y)
(* x (- 1 z))
(* x (- 1 z))
(* x (- 1 z))
(* x (- 1 z))
(* x (- 1 z))
(* x (- 1 z))
(* x (- 1 z))
(* x (- 1 z))
(* x (+ 1 (* -1 z)))
(* x (+ 1 (* -1 z)))
(* x (+ 1 (* -1 z)))
(* x (+ 1 (* -1 z)))
x
(+ x (* -1 (* x z)))
(+ x (* -1 (* x z)))
(+ x (* -1 (* x z)))
(* -1 (* x z))
(* z (- (/ x z) x))
(* z (- (/ x z) x))
(* z (- (/ x z) x))
(* -1 (* x z))
(* -1 (* z (- (* -1 (/ x z)) (* -1 x))))
(* -1 (* z (- (* -1 (/ x z)) (* -1 x))))
(* -1 (* z (- (* -1 (/ x z)) (* -1 x))))
(fabs (/ (+ 4 x) y))
(fabs (/ (+ 4 x) y))
(fabs (/ (+ 4 x) y))
(fabs (/ (+ 4 x) y))
(fabs (/ (+ 4 x) y))
(fabs (/ (+ 4 x) y))
(fabs (/ (+ 4 x) y))
(fabs (/ (+ 4 x) y))
(fabs (/ (+ 4 x) y))
(fabs (/ (+ 4 x) y))
(fabs (/ (+ 4 x) y))
(fabs (/ (+ 4 x) y))
(fabs (/ (+ 4 x) y))
(fabs (/ (+ 4 x) y))
(fabs (/ (+ 4 x) y))
(fabs (/ (+ 4 x) y))
(fabs (/ (+ 4 x) y))
(fabs (/ (+ 4 x) y))
(fabs (/ (+ 4 x) y))
(fabs (/ (+ 4 x) y))
(fabs (/ (- 4 (* -1 x)) y))
(fabs (/ (- 4 (* -1 x)) y))
(fabs (/ (- 4 (* -1 x)) y))
(fabs (/ (- 4 (* -1 x)) y))
(/ (+ 4 x) y)
(/ (+ 4 x) y)
(/ (+ 4 x) y)
(/ (+ 4 x) y)
(/ (+ 4 x) y)
(/ (+ 4 x) y)
(/ (+ 4 x) y)
(/ (+ 4 x) y)
(/ (+ 4 x) y)
(/ (+ 4 x) y)
(/ (+ 4 x) y)
(/ (+ 4 x) y)
(/ 4 y)
(+ (* 4 (/ 1 y)) (/ x y))
(+ (* 4 (/ 1 y)) (/ x y))
(+ (* 4 (/ 1 y)) (/ x y))
(/ x y)
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y)))))
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y)))))
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y)))))
(/ x y)
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y)))))
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y)))))
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y)))))
(/ 4 (pow y 2))
(+ (* 4 (/ 1 (pow y 2))) (/ x (pow y 2)))
(+ (* 4 (/ 1 (pow y 2))) (/ x (pow y 2)))
(+ (* 4 (/ 1 (pow y 2))) (/ x (pow y 2)))
(/ x (pow y 2))
(* x (+ (* 4 (/ 1 (* x (pow y 2)))) (/ 1 (pow y 2))))
(* x (+ (* 4 (/ 1 (* x (pow y 2)))) (/ 1 (pow y 2))))
(* x (+ (* 4 (/ 1 (* x (pow y 2)))) (/ 1 (pow y 2))))
(/ x (pow y 2))
(* x (+ (* 4 (/ 1 (* x (pow y 2)))) (/ 1 (pow y 2))))
(* x (+ (* 4 (/ 1 (* x (pow y 2)))) (/ 1 (pow y 2))))
(* x (+ (* 4 (/ 1 (* x (pow y 2)))) (/ 1 (pow y 2))))
(/ (+ 4 x) (pow y 2))
(/ (+ 4 x) (pow y 2))
(/ (+ 4 x) (pow y 2))
(/ (+ 4 x) (pow y 2))
(/ (+ 4 x) (pow y 2))
(/ (+ 4 x) (pow y 2))
(/ (+ 4 x) (pow y 2))
(/ (+ 4 x) (pow y 2))
(/ (+ 4 x) (pow y 2))
(/ (+ 4 x) (pow y 2))
(/ (+ 4 x) (pow y 2))
(/ (+ 4 x) (pow y 2))
4
(+ 4 x)
(+ 4 x)
(+ 4 x)
x
(* x (+ 1 (* 4 (/ 1 x))))
(* x (+ 1 (* 4 (/ 1 x))))
(* x (+ 1 (* 4 (/ 1 x))))
x
(* x (+ 1 (* 4 (/ 1 x))))
(* x (+ 1 (* 4 (/ 1 x))))
(* x (+ 1 (* 4 (/ 1 x))))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
Outputs
(fabs (* -1 (/ (+ 4 x) y)))
(fabs.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y))
(fabs (* -1 (/ (+ 4 x) y)))
(fabs.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y))
(fabs (* -1 (/ (+ 4 x) y)))
(fabs.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y))
(fabs (* -1 (/ (+ 4 x) y)))
(fabs.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y))
(fabs (* -1 (/ (+ 4 x) y)))
(fabs.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y))
(fabs (* -1 (/ (+ 4 x) y)))
(fabs.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y))
(fabs (* -1 (/ (+ 4 x) y)))
(fabs.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y))
(fabs (* -1 (/ (+ 4 x) y)))
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(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(fabs (/ (- x (* x z)) y))
(fabs.f64 (/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) z)) y))
(fabs (/ (- x (* x z)) y))
(fabs.f64 (/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) z)) y))
(fabs (/ (- x (* x z)) y))
(fabs.f64 (/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) z)) y))
(fabs (/ (- x (* x z)) y))
(fabs.f64 (/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) z)) y))
(fabs (/ (- x (* x z)) y))
(fabs.f64 (/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) z)) y))
(fabs (/ (- x (* x z)) y))
(fabs.f64 (/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) z)) y))
(fabs (/ (- x (* x z)) y))
(fabs.f64 (/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) z)) y))
(fabs (/ (- x (* x z)) y))
(fabs.f64 (/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) z)) y))
(fabs (* -1 (/ (+ (* -1 x) (* x z)) y)))
(fabs.f64 (/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) z)) y))
(fabs (* -1 (/ (+ (* -1 x) (* x z)) y)))
(fabs.f64 (/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) z)) y))
(fabs (* -1 (/ (+ (* -1 x) (* x z)) y)))
(fabs.f64 (/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) z)) y))
(fabs (* -1 (/ (+ (* -1 x) (* x z)) y)))
(fabs.f64 (/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) z)) y))
(fabs (/ (- x (* x z)) y))
(fabs.f64 (/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) z)) y))
(fabs (/ (- x (* x z)) y))
(fabs.f64 (/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) z)) y))
(fabs (/ (- x (* x z)) y))
(fabs.f64 (/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) z)) y))
(fabs (/ (- x (* x z)) y))
(fabs.f64 (/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) z)) y))
(fabs (/ (- x (* x z)) y))
(fabs.f64 (/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) z)) y))
(fabs (/ (- x (* x z)) y))
(fabs.f64 (/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) z)) y))
(fabs (/ (- x (* x z)) y))
(fabs.f64 (/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) z)) y))
(fabs (/ (- x (* x z)) y))
(fabs.f64 (/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) z)) y))
(fabs (/ (- x (* x z)) y))
(fabs.f64 (/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) z)) y))
(fabs (/ (- x (* x z)) y))
(fabs.f64 (/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) z)) y))
(fabs (/ (- x (* x z)) y))
(fabs.f64 (/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) z)) y))
(fabs (/ (- x (* x z)) y))
(fabs.f64 (/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) z)) y))
(fabs (/ (- x (* x z)) y))
(fabs.f64 (/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) z)) y))
(fabs (/ (- x (* x z)) y))
(fabs.f64 (/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) z)) y))
(fabs (/ (- x (* x z)) y))
(fabs.f64 (/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) z)) y))
(fabs (/ (- x (* x z)) y))
(fabs.f64 (/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) z)) y))
(fabs (/ (- x (* x z)) y))
(fabs.f64 (/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) z)) y))
(fabs (/ (- x (* x z)) y))
(fabs.f64 (/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) z)) y))
(fabs (/ (- x (* x z)) y))
(fabs.f64 (/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) z)) y))
(fabs (/ (- x (* x z)) y))
(fabs.f64 (/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) z)) y))
(fabs (/ (- x (* x z)) y))
(fabs.f64 (/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) z)) y))
(fabs (/ (- x (* x z)) y))
(fabs.f64 (/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) z)) y))
(fabs (/ (- x (* x z)) y))
(fabs.f64 (/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) z)) y))
(fabs (/ (- x (* x z)) y))
(fabs.f64 (/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) z)) y))
(/ (* x (- 1 z)) y)
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)
(/ (* x (- 1 z)) y)
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)
(/ (* x (- 1 z)) y)
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)
(/ (* x (- 1 z)) y)
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)
(/ (* x (- 1 z)) y)
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)
(/ (* x (- 1 z)) y)
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)
(/ (* x (- 1 z)) y)
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)
(/ (* x (- 1 z)) y)
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)
(/ (* x (+ 1 (* -1 z))) y)
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)
(/ (* x (+ 1 (* -1 z))) y)
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)
(/ (* x (+ 1 (* -1 z))) y)
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)
(/ (* x (+ 1 (* -1 z))) y)
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)
(/ x y)
(/.f64 x y)
(+ (* -1 (/ (* x z) y)) (/ x y))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)
(+ (* -1 (/ (* x z) y)) (/ x y))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)
(+ (* -1 (/ (* x z) y)) (/ x y))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)
(* -1 (/ (* x z) y))
(/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) z)) y)
(* z (+ (* -1 (/ x y)) (/ x (* y z))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)
(* z (+ (* -1 (/ x y)) (/ x (* y z))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)
(* z (+ (* -1 (/ x y)) (/ x (* y z))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)
(* -1 (/ (* x z) y))
(/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) z)) y)
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ x y))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ x y))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ x y))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)
(/ (- x (* x z)) y)
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)
(/ (- x (* x z)) y)
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)
(/ (- x (* x z)) y)
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)
(/ (- x (* x z)) y)
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)
(/ (- x (* x z)) y)
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)
(/ (- x (* x z)) y)
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)
(/ (- x (* x z)) y)
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)
(/ (- x (* x z)) y)
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)
(/ (- x (* x z)) y)
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)
(/ (- x (* x z)) y)
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)
(/ (- x (* x z)) y)
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)
(/ (- x (* x z)) y)
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y)
(* x (- 1 z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(* x (- 1 z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(* x (- 1 z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(* x (- 1 z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(* x (- 1 z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(* x (- 1 z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(* x (- 1 z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(* x (- 1 z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(* x (+ 1 (* -1 z)))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(* x (+ 1 (* -1 z)))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(* x (+ 1 (* -1 z)))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(* x (+ 1 (* -1 z)))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
x
(+ x (* -1 (* x z)))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(+ x (* -1 (* x z)))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(+ x (* -1 (* x z)))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(* -1 (* x z))
(*.f64 x (-.f64 #s(literal 0 binary64) z))
(* z (- (/ x z) x))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(* z (- (/ x z) x))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(* z (- (/ x z) x))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(* -1 (* x z))
(*.f64 x (-.f64 #s(literal 0 binary64) z))
(* -1 (* z (- (* -1 (/ x z)) (* -1 x))))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(* -1 (* z (- (* -1 (/ x z)) (* -1 x))))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(* -1 (* z (- (* -1 (/ x z)) (* -1 x))))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(fabs (/ (+ 4 x) y))
(fabs.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y))
(fabs (/ (+ 4 x) y))
(fabs.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y))
(fabs (/ (+ 4 x) y))
(fabs.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y))
(fabs (/ (+ 4 x) y))
(fabs.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y))
(fabs (/ (+ 4 x) y))
(fabs.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y))
(fabs (/ (+ 4 x) y))
(fabs.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y))
(fabs (/ (+ 4 x) y))
(fabs.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y))
(fabs (/ (+ 4 x) y))
(fabs.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y))
(fabs (/ (+ 4 x) y))
(fabs.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y))
(fabs (/ (+ 4 x) y))
(fabs.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y))
(fabs (/ (+ 4 x) y))
(fabs.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y))
(fabs (/ (+ 4 x) y))
(fabs.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y))
(fabs (/ (+ 4 x) y))
(fabs.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y))
(fabs (/ (+ 4 x) y))
(fabs.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y))
(fabs (/ (+ 4 x) y))
(fabs.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y))
(fabs (/ (+ 4 x) y))
(fabs.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y))
(fabs (/ (+ 4 x) y))
(fabs.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y))
(fabs (/ (+ 4 x) y))
(fabs.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y))
(fabs (/ (+ 4 x) y))
(fabs.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y))
(fabs (/ (+ 4 x) y))
(fabs.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y))
(fabs (/ (- 4 (* -1 x)) y))
(fabs.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y))
(fabs (/ (- 4 (* -1 x)) y))
(fabs.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y))
(fabs (/ (- 4 (* -1 x)) y))
(fabs.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y))
(fabs (/ (- 4 (* -1 x)) y))
(fabs.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y))
(/ (+ 4 x) y)
(/.f64 (+.f64 #s(literal 4 binary64) x) y)
(/ (+ 4 x) y)
(/.f64 (+.f64 #s(literal 4 binary64) x) y)
(/ (+ 4 x) y)
(/.f64 (+.f64 #s(literal 4 binary64) x) y)
(/ (+ 4 x) y)
(/.f64 (+.f64 #s(literal 4 binary64) x) y)
(/ (+ 4 x) y)
(/.f64 (+.f64 #s(literal 4 binary64) x) y)
(/ (+ 4 x) y)
(/.f64 (+.f64 #s(literal 4 binary64) x) y)
(/ (+ 4 x) y)
(/.f64 (+.f64 #s(literal 4 binary64) x) y)
(/ (+ 4 x) y)
(/.f64 (+.f64 #s(literal 4 binary64) x) y)
(/ (+ 4 x) y)
(/.f64 (+.f64 #s(literal 4 binary64) x) y)
(/ (+ 4 x) y)
(/.f64 (+.f64 #s(literal 4 binary64) x) y)
(/ (+ 4 x) y)
(/.f64 (+.f64 #s(literal 4 binary64) x) y)
(/ (+ 4 x) y)
(/.f64 (+.f64 #s(literal 4 binary64) x) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(+ (* 4 (/ 1 y)) (/ x y))
(/.f64 (+.f64 #s(literal 4 binary64) x) y)
(+ (* 4 (/ 1 y)) (/ x y))
(/.f64 (+.f64 #s(literal 4 binary64) x) y)
(+ (* 4 (/ 1 y)) (/ x y))
(/.f64 (+.f64 #s(literal 4 binary64) x) y)
(/ x y)
(/.f64 x y)
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y)))))
(/.f64 (+.f64 #s(literal 4 binary64) x) y)
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y)))))
(/.f64 (+.f64 #s(literal 4 binary64) x) y)
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y)))))
(/.f64 (+.f64 #s(literal 4 binary64) x) y)
(/ x y)
(/.f64 x y)
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y)))))
(/.f64 (+.f64 #s(literal 4 binary64) x) y)
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y)))))
(/.f64 (+.f64 #s(literal 4 binary64) x) y)
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y)))))
(/.f64 (+.f64 #s(literal 4 binary64) x) y)
(/ 4 (pow y 2))
(/.f64 #s(literal 4 binary64) (*.f64 y y))
(+ (* 4 (/ 1 (pow y 2))) (/ x (pow y 2)))
(/.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y) y)
(+ (* 4 (/ 1 (pow y 2))) (/ x (pow y 2)))
(/.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y) y)
(+ (* 4 (/ 1 (pow y 2))) (/ x (pow y 2)))
(/.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y) y)
(/ x (pow y 2))
(/.f64 (/.f64 x y) y)
(* x (+ (* 4 (/ 1 (* x (pow y 2)))) (/ 1 (pow y 2))))
(/.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y) y)
(* x (+ (* 4 (/ 1 (* x (pow y 2)))) (/ 1 (pow y 2))))
(/.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y) y)
(* x (+ (* 4 (/ 1 (* x (pow y 2)))) (/ 1 (pow y 2))))
(/.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y) y)
(/ x (pow y 2))
(/.f64 (/.f64 x y) y)
(* x (+ (* 4 (/ 1 (* x (pow y 2)))) (/ 1 (pow y 2))))
(/.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y) y)
(* x (+ (* 4 (/ 1 (* x (pow y 2)))) (/ 1 (pow y 2))))
(/.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y) y)
(* x (+ (* 4 (/ 1 (* x (pow y 2)))) (/ 1 (pow y 2))))
(/.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y) y)
(/ (+ 4 x) (pow y 2))
(/.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y) y)
(/ (+ 4 x) (pow y 2))
(/.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y) y)
(/ (+ 4 x) (pow y 2))
(/.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y) y)
(/ (+ 4 x) (pow y 2))
(/.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y) y)
(/ (+ 4 x) (pow y 2))
(/.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y) y)
(/ (+ 4 x) (pow y 2))
(/.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y) y)
(/ (+ 4 x) (pow y 2))
(/.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y) y)
(/ (+ 4 x) (pow y 2))
(/.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y) y)
(/ (+ 4 x) (pow y 2))
(/.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y) y)
(/ (+ 4 x) (pow y 2))
(/.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y) y)
(/ (+ 4 x) (pow y 2))
(/.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y) y)
(/ (+ 4 x) (pow y 2))
(/.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y) y)
4
#s(literal 4 binary64)
(+ 4 x)
(+.f64 #s(literal 4 binary64) x)
(+ 4 x)
(+.f64 #s(literal 4 binary64) x)
(+ 4 x)
(+.f64 #s(literal 4 binary64) x)
x
(* x (+ 1 (* 4 (/ 1 x))))
(+.f64 #s(literal 4 binary64) x)
(* x (+ 1 (* 4 (/ 1 x))))
(+.f64 #s(literal 4 binary64) x)
(* x (+ 1 (* 4 (/ 1 x))))
(+.f64 #s(literal 4 binary64) x)
x
(* x (+ 1 (* 4 (/ 1 x))))
(+.f64 #s(literal 4 binary64) x)
(* x (+ 1 (* 4 (/ 1 x))))
(+.f64 #s(literal 4 binary64) x)
(* x (+ 1 (* 4 (/ 1 x))))
(+.f64 #s(literal 4 binary64) x)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)

eval257.0ms (2.5%)

Compiler

Compiled 28894 to 3795 computations (86.9% saved)

prune543.0ms (5.2%)

Pruning

12 alts after pruning (3 fresh and 9 done)

PrunedKeptTotal
New177131774
Fresh101
Picked145
Done257
Total1775121787
Accuracy
100.0%
Counts
1787 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
61.2%
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (-.f64 x (*.f64 x z)))))
69.7%
(fabs.f64 (/.f64 (-.f64 (*.f64 x z) #s(literal 4 binary64)) y))
61.3%
(fabs.f64 (/.f64 (-.f64 x (*.f64 x z)) y))
68.6%
(fabs.f64 (/.f64 (-.f64 #s(literal -4 binary64) x) y))
36.0%
(fabs.f64 (/.f64 (*.f64 x z) y))
34.0%
(fabs.f64 (/.f64 x y))
37.9%
(fabs.f64 (/.f64 #s(literal 4 binary64) y))
75.9%
(fabs.f64 (-.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (/.f64 x y) z)))
68.6%
(fabs.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 x y)))
37.5%
(fabs.f64 (*.f64 (/.f64 z y) x))
42.2%
(fabs.f64 (*.f64 z (/.f64 x y)))
48.3%
(fabs.f64 (*.f64 y (/.f64 (+.f64 x #s(literal 4 binary64)) (*.f64 y y))))
Compiler

Compiled 363 to 176 computations (51.5% saved)

regimes70.0ms (0.7%)

Counts
26 → 1
Calls
Call 1
Inputs
(fabs.f64 (/.f64 #s(literal 4 binary64) y))
(fabs.f64 (/.f64 x y))
(fabs.f64 (*.f64 z (/.f64 x y)))
(fabs.f64 (*.f64 (/.f64 z y) x))
(fabs.f64 (/.f64 (*.f64 x z) y))
(fabs.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y))
(fabs.f64 (/.f64 (-.f64 #s(literal -4 binary64) x) y))
(fabs.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 x y)))
(fabs.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (/.f64 z y))))
(fabs.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (/.f64 x y))))
(fabs.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y))
(fabs.f64 (/.f64 (-.f64 x (*.f64 x z)) y))
(fabs.f64 (/.f64 (-.f64 (*.f64 x z) #s(literal 4 binary64)) y))
(fabs.f64 (*.f64 y (/.f64 (+.f64 x #s(literal 4 binary64)) (*.f64 y y))))
(fabs.f64 (-.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (/.f64 x y) z)))
(fabs.f64 (-.f64 (/.f64 x y) (*.f64 x (/.f64 z y))))
(fabs.f64 (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) z)))
(fabs.f64 (/.f64 (-.f64 (+.f64 #s(literal 4 binary64) x) (*.f64 x z)) y))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (-.f64 x (*.f64 x z)))))
(fabs.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (/.f64 x y) (-.f64 #s(literal 1 binary64) z))))
(fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 x (/.f64 z y))))
(fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)))
(fabs.f64 (/.f64 (/.f64 (+.f64 (*.f64 #s(literal 4 binary64) y) (*.f64 x y)) y) y))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (-.f64 (*.f64 x z) (+.f64 #s(literal 4 binary64) x)))))
(fabs.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 4 binary64) x))) (*.f64 (/.f64 x y) z)))
(fabs.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal 16 binary64) (*.f64 x x)) (-.f64 #s(literal 4 binary64) x)) y) (*.f64 (/.f64 x y) z)))
Outputs
(fabs.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (/.f64 x y) (-.f64 #s(literal 1 binary64) z))))
Calls

5 calls:

24.0ms
z
17.0ms
(-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))
11.0ms
x
8.0ms
y
8.0ms
(fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)))
Results
AccuracySegmentsBranch
98.8%1x
98.8%1y
98.8%1z
98.8%1(fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)))
98.8%1(-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))
Compiler

Compiled 41 to 28 computations (31.7% saved)

regimes28.0ms (0.3%)

Counts
19 → 1
Calls
Call 1
Inputs
(fabs.f64 (/.f64 #s(literal 4 binary64) y))
(fabs.f64 (/.f64 x y))
(fabs.f64 (*.f64 z (/.f64 x y)))
(fabs.f64 (*.f64 (/.f64 z y) x))
(fabs.f64 (/.f64 (*.f64 x z) y))
(fabs.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y))
(fabs.f64 (/.f64 (-.f64 #s(literal -4 binary64) x) y))
(fabs.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 x y)))
(fabs.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (/.f64 z y))))
(fabs.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (/.f64 x y))))
(fabs.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y))
(fabs.f64 (/.f64 (-.f64 x (*.f64 x z)) y))
(fabs.f64 (/.f64 (-.f64 (*.f64 x z) #s(literal 4 binary64)) y))
(fabs.f64 (*.f64 y (/.f64 (+.f64 x #s(literal 4 binary64)) (*.f64 y y))))
(fabs.f64 (-.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (/.f64 x y) z)))
(fabs.f64 (-.f64 (/.f64 x y) (*.f64 x (/.f64 z y))))
(fabs.f64 (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) z)))
(fabs.f64 (/.f64 (-.f64 (+.f64 #s(literal 4 binary64) x) (*.f64 x z)) y))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (-.f64 x (*.f64 x z)))))
Outputs
(fabs.f64 (/.f64 (-.f64 (+.f64 #s(literal 4 binary64) x) (*.f64 x z)) y))
Calls

3 calls:

14.0ms
z
6.0ms
y
6.0ms
x
Results
AccuracySegmentsBranch
96.2%1x
96.2%1y
96.2%1z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes20.0ms (0.2%)

Counts
17 → 3
Calls
Call 1
Inputs
(fabs.f64 (/.f64 #s(literal 4 binary64) y))
(fabs.f64 (/.f64 x y))
(fabs.f64 (*.f64 z (/.f64 x y)))
(fabs.f64 (*.f64 (/.f64 z y) x))
(fabs.f64 (/.f64 (*.f64 x z) y))
(fabs.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y))
(fabs.f64 (/.f64 (-.f64 #s(literal -4 binary64) x) y))
(fabs.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 x y)))
(fabs.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (/.f64 z y))))
(fabs.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (/.f64 x y))))
(fabs.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y))
(fabs.f64 (/.f64 (-.f64 x (*.f64 x z)) y))
(fabs.f64 (/.f64 (-.f64 (*.f64 x z) #s(literal 4 binary64)) y))
(fabs.f64 (*.f64 y (/.f64 (+.f64 x #s(literal 4 binary64)) (*.f64 y y))))
(fabs.f64 (-.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (/.f64 x y) z)))
(fabs.f64 (-.f64 (/.f64 x y) (*.f64 x (/.f64 z y))))
(fabs.f64 (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) z)))
Outputs
(fabs.f64 (-.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (/.f64 x y) z)))
(fabs.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y))
(fabs.f64 (-.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (/.f64 x y) z)))
Calls

3 calls:

7.0ms
y
6.0ms
x
5.0ms
z
Results
AccuracySegmentsBranch
78.6%2y
97.5%3z
96.0%3x
Compiler

Compiled 12 to 9 computations (25% saved)

regimes11.0ms (0.1%)

Counts
14 → 3
Calls
Call 1
Inputs
(fabs.f64 (/.f64 #s(literal 4 binary64) y))
(fabs.f64 (/.f64 x y))
(fabs.f64 (*.f64 z (/.f64 x y)))
(fabs.f64 (*.f64 (/.f64 z y) x))
(fabs.f64 (/.f64 (*.f64 x z) y))
(fabs.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y))
(fabs.f64 (/.f64 (-.f64 #s(literal -4 binary64) x) y))
(fabs.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 x y)))
(fabs.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (/.f64 z y))))
(fabs.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (/.f64 x y))))
(fabs.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y))
(fabs.f64 (/.f64 (-.f64 x (*.f64 x z)) y))
(fabs.f64 (/.f64 (-.f64 (*.f64 x z) #s(literal 4 binary64)) y))
(fabs.f64 (*.f64 y (/.f64 (+.f64 x #s(literal 4 binary64)) (*.f64 y y))))
Outputs
(fabs.f64 (/.f64 (-.f64 (*.f64 x z) #s(literal 4 binary64)) y))
(fabs.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y))
(fabs.f64 (/.f64 (-.f64 (*.f64 x z) #s(literal 4 binary64)) y))
Calls

2 calls:

5.0ms
x
5.0ms
z
Results
AccuracySegmentsBranch
94.3%3x
94.9%3z
Compiler

Compiled 8 to 6 computations (25% saved)

regimes9.0ms (0.1%)

Counts
12 → 3
Calls
Call 1
Inputs
(fabs.f64 (/.f64 #s(literal 4 binary64) y))
(fabs.f64 (/.f64 x y))
(fabs.f64 (*.f64 z (/.f64 x y)))
(fabs.f64 (*.f64 (/.f64 z y) x))
(fabs.f64 (/.f64 (*.f64 x z) y))
(fabs.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y))
(fabs.f64 (/.f64 (-.f64 #s(literal -4 binary64) x) y))
(fabs.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 x y)))
(fabs.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (/.f64 z y))))
(fabs.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (/.f64 x y))))
(fabs.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y))
(fabs.f64 (/.f64 (-.f64 x (*.f64 x z)) y))
Outputs
(fabs.f64 (*.f64 (/.f64 z y) x))
(fabs.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y))
(fabs.f64 (*.f64 z (/.f64 x y)))
Calls

2 calls:

4.0ms
z
4.0ms
x
Results
AccuracySegmentsBranch
84.3%3x
84.6%3z
Compiler

Compiled 8 to 6 computations (25% saved)

regimes10.0ms (0.1%)

Counts
5 → 6
Calls
Call 1
Inputs
(fabs.f64 (/.f64 #s(literal 4 binary64) y))
(fabs.f64 (/.f64 x y))
(fabs.f64 (*.f64 z (/.f64 x y)))
(fabs.f64 (*.f64 (/.f64 z y) x))
(fabs.f64 (/.f64 (*.f64 x z) y))
Outputs
(fabs.f64 (*.f64 z (/.f64 x y)))
(fabs.f64 (/.f64 x y))
(fabs.f64 (/.f64 #s(literal 4 binary64) y))
(fabs.f64 (*.f64 (/.f64 z y) x))
(fabs.f64 (/.f64 x y))
(fabs.f64 (*.f64 z (/.f64 x y)))
Calls

3 calls:

4.0ms
z
2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
47.9%3y
73.8%6x
65.8%4z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes2.0ms (0%)

Counts
3 → 6
Calls
Call 1
Inputs
(fabs.f64 (/.f64 #s(literal 4 binary64) y))
(fabs.f64 (/.f64 x y))
(fabs.f64 (*.f64 z (/.f64 x y)))
Outputs
(fabs.f64 (*.f64 z (/.f64 x y)))
(fabs.f64 (/.f64 x y))
(fabs.f64 (/.f64 #s(literal 4 binary64) y))
(fabs.f64 (*.f64 z (/.f64 x y)))
(fabs.f64 (/.f64 x y))
(fabs.f64 (*.f64 z (/.f64 x y)))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
73.8%6x
Compiler

Compiled 4 to 3 computations (25% saved)

regimes2.0ms (0%)

Counts
2 → 3
Calls
Call 1
Inputs
(fabs.f64 (/.f64 #s(literal 4 binary64) y))
(fabs.f64 (/.f64 x y))
Outputs
(fabs.f64 (/.f64 x y))
(fabs.f64 (/.f64 #s(literal 4 binary64) y))
(fabs.f64 (/.f64 x y))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
66.7%3x
Compiler

Compiled 4 to 3 computations (25% saved)

regimes5.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(fabs.f64 (/.f64 #s(literal 4 binary64) y))
Outputs
(fabs.f64 (/.f64 #s(literal 4 binary64) y))
Calls

3 calls:

2.0ms
z
1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
37.9%1y
37.9%1z
37.9%1x
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch35.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
0.011308909228870512
8927.263981924256
16.0ms
-9.090512977752297
-2.406111479035544e-9
Results
20.0ms288×0valid
Compiler

Compiled 453 to 339 computations (25.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-div: 4.0ms (35% of total)
ival-add: 2.0ms (17.5% of total)
ival-mult: 2.0ms (17.5% of total)
ival-fabs: 2.0ms (17.5% of total)
ival-sub: 1.0ms (8.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch50.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
0.011308909228870512
8927.263981924256
31.0ms
-9.090512977752297
-2.406111479035544e-9
Results
37.0ms288×0valid
Compiler

Compiled 417 to 321 computations (23% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-div: 20.0ms (72.8% of total)
ival-add: 2.0ms (7.3% of total)
ival-mult: 2.0ms (7.3% of total)
ival-fabs: 2.0ms (7.3% of total)
ival-sub: 1.0ms (3.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch31.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
1.6385610388441385e+51
2.1362501068486788e+61
11.0ms
-7.634872707435503e+127
-5.940517543139869e+126
Results
20.0ms256×0valid
Compiler

Compiled 341 to 255 computations (25.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-div: 4.0ms (36.1% of total)
ival-mult: 3.0ms (27.1% of total)
ival-add: 2.0ms (18.1% of total)
ival-sub: 1.0ms (9% of total)
ival-fabs: 1.0ms (9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch96.0ms (0.9%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
6.0ms
2.6598464122828658e+160
3.243507216148237e+160
11.0ms
0.0003961839333753436
0.022842525990721365
14.0ms
7.458182574455147e-65
3.9235226044709593e-60
18.0ms
-677695420.1689228
-0.015324615532591986
41.0ms
-2.0555137922707703e+152
-3.714070488255525e+151
Results
72.0ms544×0valid
Compiler

Compiled 613 to 465 computations (24.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
ival-add: 35.0ms (66.1% of total)
ival-div: 8.0ms (15.1% of total)
ival-mult: 4.0ms (7.6% of total)
ival-fabs: 3.0ms (5.7% of total)
ival-sub: 2.0ms (3.8% of total)
const: 1.0ms (1.9% of total)
backward-pass: 0.0ms (0% of total)

bsearch66.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
6.0ms
2.6598464122828658e+160
3.243507216148237e+160
11.0ms
0.0003961839333753436
0.022842525990721365
14.0ms
7.458182574455147e-65
3.9235226044709593e-60
17.0ms
-677695420.1689228
-0.015324615532591986
12.0ms
-2.0555137922707703e+152
-3.714070488255525e+151
Results
43.0ms544×0valid
Compiler

Compiled 613 to 465 computations (24.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-div: 8.0ms (35.7% of total)
ival-add: 4.0ms (17.9% of total)
ival-mult: 4.0ms (17.9% of total)
ival-fabs: 3.0ms (13.4% of total)
ival-sub: 2.0ms (8.9% of total)
const: 1.0ms (4.5% of total)
backward-pass: 0.0ms (0% of total)

bsearch35.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
0.022842525990721365
23.82404296987132
19.0ms
-677695420.1689228
-0.015324615532591986
Results
22.0ms288×0valid
Compiler

Compiled 309 to 249 computations (19.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-div: 4.0ms (35.5% of total)
ival-add: 2.0ms (17.7% of total)
ival-mult: 2.0ms (17.7% of total)
ival-fabs: 2.0ms (17.7% of total)
ival-sub: 1.0ms (8.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify17.0ms (0.2%)

Algorithm
egg-herbie
Rules
36×+-commutative_binary64
32×sub-neg_binary64
26×*-commutative_binary64
18×neg-sub0_binary64
18×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078212
1130212
2166212
3188212
4204212
5210212
6211212
Stop Event
saturated
Calls
Call 1
Inputs
(fabs.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (/.f64 x y) (-.f64 #s(literal 1 binary64) z))))
(fabs.f64 (/.f64 (-.f64 (+.f64 #s(literal 4 binary64) x) (*.f64 x z)) y))
(if (<=.f64 z #s(literal -1 binary64)) (fabs.f64 (-.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (/.f64 x y) z))) (if (<=.f64 z #s(literal 5854679515581645/2251799813685248 binary64)) (fabs.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y)) (fabs.f64 (-.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (/.f64 x y) z)))))
(if (<=.f64 z #s(literal -1 binary64)) (fabs.f64 (/.f64 (-.f64 (*.f64 x z) #s(literal 4 binary64)) y)) (if (<=.f64 z #s(literal 3039929748475085/1125899906842624 binary64)) (fabs.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y)) (fabs.f64 (/.f64 (-.f64 (*.f64 x z) #s(literal 4 binary64)) y))))
(if (<=.f64 z #s(literal -6000000000000000451046921499109251764828574386114449280897454614146595551454491227987246606586548212569595730233115157960065024 binary64)) (fabs.f64 (*.f64 (/.f64 z y) x)) (if (<=.f64 z #s(literal 18199999999999998813238869245448930848557445419106304 binary64)) (fabs.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y)) (fabs.f64 (*.f64 z (/.f64 x y)))))
(if (<=.f64 x #s(literal -38999999999999997617201121059942105296373112799172230634862366049544268742590516579637234220887297442615516244412841700466440646818227403528247902732288 binary64)) (fabs.f64 (*.f64 z (/.f64 x y))) (if (<=.f64 x #s(literal -21/2 binary64)) (fabs.f64 (/.f64 x y)) (if (<=.f64 x #s(literal 3618502788666131/3618502788666131106986593281521497120414687020801267626233049500247285301248 binary64)) (fabs.f64 (/.f64 #s(literal 4 binary64) y)) (if (<=.f64 x #s(literal 3242591731706757/144115188075855872 binary64)) (fabs.f64 (*.f64 (/.f64 z y) x)) (if (<=.f64 x #s(literal 28999999999999999096711831996381289164965231804161967631492299249269581355025789444399870192049747361760257091320619871122449448688458224626143703335371158847488 binary64)) (fabs.f64 (/.f64 x y)) (fabs.f64 (*.f64 z (/.f64 x y))))))))
(if (<=.f64 x #s(literal -149999999999999995308242615126588962212658482384536483079571319804819866126826289494846520008938364478927682255517486914178750834015815758398501955829760 binary64)) (fabs.f64 (*.f64 z (/.f64 x y))) (if (<=.f64 x #s(literal -2871044762448691/281474976710656 binary64)) (fabs.f64 (/.f64 x y)) (if (<=.f64 x #s(literal 6151454740732423/7237005577332262213973186563042994240829374041602535252466099000494570602496 binary64)) (fabs.f64 (/.f64 #s(literal 4 binary64) y)) (if (<=.f64 x #s(literal 3242591731706757/144115188075855872 binary64)) (fabs.f64 (*.f64 z (/.f64 x y))) (if (<=.f64 x #s(literal 27000000000000000020179581601042505465753072312334605932381973139656824257205241103509324335981659990688819516330776062031778761580736387189299497391769094455296 binary64)) (fabs.f64 (/.f64 x y)) (fabs.f64 (*.f64 z (/.f64 x y))))))))
(if (<=.f64 x #s(literal -21/2 binary64)) (fabs.f64 (/.f64 x y)) (if (<=.f64 x #s(literal 4 binary64)) (fabs.f64 (/.f64 #s(literal 4 binary64) y)) (fabs.f64 (/.f64 x y))))
(fabs.f64 (/.f64 #s(literal 4 binary64) y))
Outputs
(fabs.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (/.f64 x y) (-.f64 #s(literal 1 binary64) z))))
(fabs.f64 (/.f64 (-.f64 (+.f64 #s(literal 4 binary64) x) (*.f64 x z)) y))
(if (<=.f64 z #s(literal -1 binary64)) (fabs.f64 (-.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (/.f64 x y) z))) (if (<=.f64 z #s(literal 5854679515581645/2251799813685248 binary64)) (fabs.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y)) (fabs.f64 (-.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (/.f64 x y) z)))))
(if (<=.f64 z #s(literal -1 binary64)) (fabs.f64 (/.f64 (-.f64 (*.f64 x z) #s(literal 4 binary64)) y)) (if (<=.f64 z #s(literal 3039929748475085/1125899906842624 binary64)) (fabs.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y)) (fabs.f64 (/.f64 (-.f64 (*.f64 x z) #s(literal 4 binary64)) y))))
(if (<=.f64 z #s(literal -6000000000000000451046921499109251764828574386114449280897454614146595551454491227987246606586548212569595730233115157960065024 binary64)) (fabs.f64 (*.f64 (/.f64 z y) x)) (if (<=.f64 z #s(literal 18199999999999998813238869245448930848557445419106304 binary64)) (fabs.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y)) (fabs.f64 (*.f64 z (/.f64 x y)))))
(if (<=.f64 z #s(literal -6000000000000000451046921499109251764828574386114449280897454614146595551454491227987246606586548212569595730233115157960065024 binary64)) (fabs.f64 (*.f64 x (/.f64 z y))) (if (<=.f64 z #s(literal 18199999999999998813238869245448930848557445419106304 binary64)) (fabs.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y)) (fabs.f64 (*.f64 (/.f64 x y) z))))
(if (<=.f64 x #s(literal -38999999999999997617201121059942105296373112799172230634862366049544268742590516579637234220887297442615516244412841700466440646818227403528247902732288 binary64)) (fabs.f64 (*.f64 z (/.f64 x y))) (if (<=.f64 x #s(literal -21/2 binary64)) (fabs.f64 (/.f64 x y)) (if (<=.f64 x #s(literal 3618502788666131/3618502788666131106986593281521497120414687020801267626233049500247285301248 binary64)) (fabs.f64 (/.f64 #s(literal 4 binary64) y)) (if (<=.f64 x #s(literal 3242591731706757/144115188075855872 binary64)) (fabs.f64 (*.f64 (/.f64 z y) x)) (if (<=.f64 x #s(literal 28999999999999999096711831996381289164965231804161967631492299249269581355025789444399870192049747361760257091320619871122449448688458224626143703335371158847488 binary64)) (fabs.f64 (/.f64 x y)) (fabs.f64 (*.f64 z (/.f64 x y))))))))
(if (<=.f64 x #s(literal -38999999999999997617201121059942105296373112799172230634862366049544268742590516579637234220887297442615516244412841700466440646818227403528247902732288 binary64)) (fabs.f64 (*.f64 (/.f64 x y) z)) (if (<=.f64 x #s(literal -21/2 binary64)) (fabs.f64 (/.f64 x y)) (if (<=.f64 x #s(literal 3618502788666131/3618502788666131106986593281521497120414687020801267626233049500247285301248 binary64)) (fabs.f64 (/.f64 #s(literal 4 binary64) y)) (if (<=.f64 x #s(literal 3242591731706757/144115188075855872 binary64)) (fabs.f64 (*.f64 x (/.f64 z y))) (if (<=.f64 x #s(literal 28999999999999999096711831996381289164965231804161967631492299249269581355025789444399870192049747361760257091320619871122449448688458224626143703335371158847488 binary64)) (fabs.f64 (/.f64 x y)) (fabs.f64 (*.f64 (/.f64 x y) z)))))))
(if (<=.f64 x #s(literal -149999999999999995308242615126588962212658482384536483079571319804819866126826289494846520008938364478927682255517486914178750834015815758398501955829760 binary64)) (fabs.f64 (*.f64 z (/.f64 x y))) (if (<=.f64 x #s(literal -2871044762448691/281474976710656 binary64)) (fabs.f64 (/.f64 x y)) (if (<=.f64 x #s(literal 6151454740732423/7237005577332262213973186563042994240829374041602535252466099000494570602496 binary64)) (fabs.f64 (/.f64 #s(literal 4 binary64) y)) (if (<=.f64 x #s(literal 3242591731706757/144115188075855872 binary64)) (fabs.f64 (*.f64 z (/.f64 x y))) (if (<=.f64 x #s(literal 27000000000000000020179581601042505465753072312334605932381973139656824257205241103509324335981659990688819516330776062031778761580736387189299497391769094455296 binary64)) (fabs.f64 (/.f64 x y)) (fabs.f64 (*.f64 z (/.f64 x y))))))))
(if (<=.f64 x #s(literal -149999999999999995308242615126588962212658482384536483079571319804819866126826289494846520008938364478927682255517486914178750834015815758398501955829760 binary64)) (fabs.f64 (*.f64 (/.f64 x y) z)) (if (<=.f64 x #s(literal -2871044762448691/281474976710656 binary64)) (fabs.f64 (/.f64 x y)) (if (<=.f64 x #s(literal 6151454740732423/7237005577332262213973186563042994240829374041602535252466099000494570602496 binary64)) (fabs.f64 (/.f64 #s(literal 4 binary64) y)) (if (<=.f64 x #s(literal 3242591731706757/144115188075855872 binary64)) (fabs.f64 (*.f64 (/.f64 x y) z)) (if (<=.f64 x #s(literal 27000000000000000020179581601042505465753072312334605932381973139656824257205241103509324335981659990688819516330776062031778761580736387189299497391769094455296 binary64)) (fabs.f64 (/.f64 x y)) (fabs.f64 (*.f64 (/.f64 x y) z)))))))
(if (<=.f64 x #s(literal -21/2 binary64)) (fabs.f64 (/.f64 x y)) (if (<=.f64 x #s(literal 4 binary64)) (fabs.f64 (/.f64 #s(literal 4 binary64) y)) (fabs.f64 (/.f64 x y))))
(fabs.f64 (/.f64 #s(literal 4 binary64) y))

soundness2.5s (24.3%)

Rules
4862×*-lowering-*.f32
4862×*-lowering-*.f64
4492×/-lowering-/.f32
4492×/-lowering-/.f64
3980×/-lowering-/.f32
Iterations

Useful iterations: 8 (0.0ms)

IterNodesCost
01012084
13472024
29761820
329281797
084991797
01672
110866
2110065
0917865
02496
114996
2118389
0859789
01273192
14322922
210852802
333932802
479882802
080562802
023115
1178105
2184399
0813199
01012
12111
25011
39511
417011
536711
677111
7155711
8506810
0822210
026109
1175108
21402107
08207107
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 581 to 338 computations (41.8% saved)

preprocess65.0ms (0.6%)

Remove

(abs y)

Compiler

Compiled 568 to 218 computations (61.6% saved)

end0.0ms (0%)

Profiling

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