Diagrams.Backend.Cairo.Internal:setTexture from diagrams-cairo-1.3.0.3

Time bar (total: 9.3s)

analyze67.0ms (0.7%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%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 11 to 7 computations (36.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-sub: 5.0ms (42.3% of total)
ival-mult: 4.0ms (33.8% of total)
ival-div: 3.0ms (25.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample874.0ms (9.4%)

Results
673.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 281.0ms
ival-mult: 113.0ms (40.2% of total)
ival-div: 97.0ms (34.5% of total)
ival-sub: 60.0ms (21.4% of total)
const: 8.0ms (2.8% of total)
backward-pass: 3.0ms (1.1% of total)
Bogosity

preprocess214.0ms (2.3%)

Algorithm
2×egg-herbie
Rules
2546×sum3-define
2046×sum3-define
1728×fnmadd-define
1360×fnmsub-define
1314×fmsub-define
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
02981
18377
227972
3128870
4400470
5785770
067
1117
2287
3517
41107
52376
66726
716336
862076
082936
Stop Event
1×iter limit
1×node limit
1×node limit
Calls
Call 1
Inputs
(/ (* x (- y z)) y)
Outputs
(/ (* x (- y z)) y)
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
Call 2
Inputs
(/ (* x (- y z)) y)
(/ (* (neg x) (- y z)) y)
(/ (* x (- (neg y) z)) (neg y))
(/ (* x (- y (neg z))) y)
(neg (/ (* (neg x) (- y z)) y))
(neg (/ (* x (- (neg y) z)) (neg y)))
(neg (/ (* x (- y (neg z))) y))
(/ (* y (- x z)) x)
(/ (* z (- y x)) y)
(/ (* x (- z y)) z)
Outputs
(/ (* x (- y z)) y)
(- x (* x (/ z y)))
(/ (* (neg x) (- y z)) y)
(* x (+ -1 (/ z y)))
(/ (* x (- (neg y) z)) (neg y))
(+ x (* x (/ z y)))
(/ (* x (- y (neg z))) y)
(+ x (* x (/ z y)))
(neg (/ (* (neg x) (- y z)) y))
(- x (* x (/ z y)))
(neg (/ (* x (- (neg y) z)) (neg y)))
(* x (- -1 (/ z y)))
(neg (/ (* x (- y (neg z))) y))
(* x (- -1 (/ z y)))
(/ (* y (- x z)) x)
(* y (- 1 (/ z x)))
(/ (* z (- y x)) y)
(* z (- 1 (/ x y)))
(/ (* x (- z y)) z)
(* x (- 1 (/ y z)))
Symmetry

(negabs x)

explain102.0ms (1.1%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
400-1(4.052111821802359e-87 -9.923124092988754e-266 1.4628080364320985e-229)(/.f64 (*.f64 x (-.f64 y z)) y)
00-0-(*.f64 x (-.f64 y z))
00-0-x
00-0-z
00-0-(-.f64 y z)
00-0-y
Results
48.0ms512×0valid
Compiler

Compiled 54 to 20 computations (63% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 7.0ms (44% of total)
ival-div: 4.0ms (25.1% of total)
ival-sub: 3.0ms (18.8% of total)
const: 1.0ms (6.3% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 10 to 7 computations (30% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶85.3%
(/.f64 (*.f64 x (-.f64 y z)) y)
▶96.1%
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
Compiler

Compiled 20 to 13 computations (35% saved)

simplify138.0ms (1.5%)

Algorithm
1×egg-herbie
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 y z)
✓cost-diff0
(*.f64 x (-.f64 y z))
✓cost-diff0
(/.f64 (*.f64 x (-.f64 y z)) y)
✓cost-diff0
(/.f64 z y)
✓cost-diff0
(-.f64 #s(literal 1 binary64) (/.f64 z y))
✓cost-diff0
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
Rules
1604×fmsub-define
1578×fnmsub-define
1484×sum3-define
1362×fmm-def
1356×*-lowering-*.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01037
12037
24737
39535
424035
554335
6146135
7269735
8592235
0803235
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* x (- 1 (/ z y)))
x
(- 1 (/ z y))
1
(/ z y)
z
y
(/ (* x (- y z)) y)
(* x (- y z))
x
(- y z)
y
z
Outputs
(* x (- 1 (/ z y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
x
(- 1 (/ z y))
(-.f64 #s(literal 1 binary64) (/.f64 z y))
1
#s(literal 1 binary64)
(/ z y)
(/.f64 z y)
z
y
(/ (* x (- y z)) y)
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(* x (- y z))
(*.f64 x (-.f64 y z))
x
(- y z)
(-.f64 y z)
y
z

localize48.0ms (0.5%)

Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 y z)
✓accuracy100.0%
(*.f64 x (-.f64 y z))
✓accuracy85.3%
(/.f64 (*.f64 x (-.f64 y z)) y)
✓accuracy100.0%
(/.f64 z y)
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) (/.f64 z y))
✓accuracy96.1%
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
Results
37.0ms256×0valid
Compiler

Compiled 41 to 11 computations (73.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-div: 4.0ms (37.1% of total)
ival-sub: 3.0ms (27.8% of total)
ival-mult: 3.0ms (27.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series15.0ms (0.2%)

Counts
6 → 180
Calls
Call 1
Inputs
#<alt (* x (- 1 (/ z y)))>
#<alt (- 1 (/ z y))>
#<alt (/ z y)>
#<alt (/ (* x (- y z)) y)>
#<alt (* x (- y z))>
#<alt (- y z)>
Outputs
#<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>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* z (+ (* -1 (/ x y)) (/ x z)))>
#<alt (* z (+ (* -1 (/ x y)) (/ x z)))>
#<alt (* z (+ (* -1 (/ x y)) (/ x z)))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (/ x y))))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (/ x y))))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (/ x y))))>
#<alt (* -1 (/ (* x z) y))>
#<alt (/ (+ (* -1 (* x z)) (* x y)) y)>
#<alt (/ (+ (* -1 (* x z)) (* x y)) y)>
#<alt (/ (+ (* -1 (* x z)) (* x y)) y)>
#<alt x>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt x>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ z y)))>
#<alt (+ 1 (* -1 (/ z y)))>
#<alt (+ 1 (* -1 (/ z y)))>
#<alt (* -1 (/ z y))>
#<alt (* z (- (/ 1 z) (/ 1 y)))>
#<alt (* z (- (/ 1 z) (/ 1 y)))>
#<alt (* z (- (/ 1 z) (/ 1 y)))>
#<alt (* -1 (/ z y))>
#<alt (* -1 (* z (- (/ 1 y) (/ 1 z))))>
#<alt (* -1 (* z (- (/ 1 y) (/ 1 z))))>
#<alt (* -1 (* z (- (/ 1 y) (/ 1 z))))>
#<alt (* -1 (/ z y))>
#<alt (/ (- y z) y)>
#<alt (/ (- y z) y)>
#<alt (/ (- y z) y)>
#<alt 1>
#<alt (+ 1 (* -1 (/ z y)))>
#<alt (+ 1 (* -1 (/ z y)))>
#<alt (+ 1 (* -1 (/ z y)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ z y)))>
#<alt (+ 1 (* -1 (/ z y)))>
#<alt (+ 1 (* -1 (/ 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 (/ (* x (- y z)) y)>
#<alt (/ (* x (- y z)) y)>
#<alt (/ (* x (- y z)) y)>
#<alt (/ (* x (- y z)) y)>
#<alt (/ (* x (- y z)) y)>
#<alt (/ (* x (- y z)) y)>
#<alt (/ (* x (- y z)) y)>
#<alt (/ (* x (- y z)) y)>
#<alt (/ (* x (- y z)) y)>
#<alt (/ (* x (- y z)) y)>
#<alt (/ (* x (- y z)) y)>
#<alt (/ (* x (- y z)) y)>
#<alt (* -1 (/ (* x z) y))>
#<alt (/ (+ (* -1 (* x z)) (* x y)) y)>
#<alt (/ (+ (* -1 (* x z)) (* x y)) y)>
#<alt (/ (+ (* -1 (* x z)) (* x y)) y)>
#<alt x>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt x>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt x>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* z (+ (* -1 (/ x y)) (/ x z)))>
#<alt (* z (+ (* -1 (/ x y)) (/ x z)))>
#<alt (* z (+ (* -1 (/ x y)) (/ x z)))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (/ x y))))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (/ x y))))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (/ x y))))>
#<alt (* x (- y z))>
#<alt (* x (- y z))>
#<alt (* x (- y z))>
#<alt (* x (- y z))>
#<alt (* x (- y z))>
#<alt (* x (- y z))>
#<alt (* x (- y z))>
#<alt (* x (- y z))>
#<alt (* x (- y z))>
#<alt (* x (- y z))>
#<alt (* x (- y z))>
#<alt (* x (- y z))>
#<alt (* -1 (* x z))>
#<alt (+ (* -1 (* x z)) (* x y))>
#<alt (+ (* -1 (* x z)) (* x y))>
#<alt (+ (* -1 (* x z)) (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (* -1 (/ (* x z) y))))>
#<alt (* y (+ x (* -1 (/ (* x z) y))))>
#<alt (* y (+ x (* -1 (/ (* x z) y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (/ (* x z) y))))>
#<alt (* -1 (* y (+ (* -1 x) (/ (* x z) y))))>
#<alt (* -1 (* y (+ (* -1 x) (/ (* x z) y))))>
#<alt (* x y)>
#<alt (+ (* -1 (* x z)) (* x y))>
#<alt (+ (* -1 (* x z)) (* x y))>
#<alt (+ (* -1 (* x z)) (* x y))>
#<alt (* -1 (* x z))>
#<alt (* z (+ (* -1 x) (/ (* x y) z)))>
#<alt (* z (+ (* -1 x) (/ (* x y) z)))>
#<alt (* z (+ (* -1 x) (/ (* x y) z)))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* z (+ x (* -1 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ x (* -1 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ x (* -1 (/ (* x y) z)))))>
#<alt (* -1 z)>
#<alt (- y z)>
#<alt (- y z)>
#<alt (- y z)>
#<alt y>
#<alt (* y (+ 1 (* -1 (/ z y))))>
#<alt (* y (+ 1 (* -1 (/ z y))))>
#<alt (* y (+ 1 (* -1 (/ z y))))>
#<alt y>
#<alt (* -1 (* y (- (/ z y) 1)))>
#<alt (* -1 (* y (- (/ z y) 1)))>
#<alt (* -1 (* y (- (/ z y) 1)))>
#<alt y>
#<alt (+ y (* -1 z))>
#<alt (+ y (* -1 z))>
#<alt (+ y (* -1 z))>
#<alt (* -1 z)>
#<alt (* z (- (/ y z) 1))>
#<alt (* z (- (/ y z) 1))>
#<alt (* z (- (/ y z) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ y z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ y z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ y z)))))>
Calls

45 calls:

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

rewrite293.0ms (3.2%)

Algorithm
1×batch-egg-rewrite
Rules
2964×*-lowering-*.f32
2964×*-lowering-*.f64
2676×/-lowering-/.f32
2676×/-lowering-/.f64
1470×frac-times
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01030
15630
244630
3753730
0809230
Stop Event
1×iter limit
1×node limit
Counts
6 → 430
Calls
Call 1
Inputs
(* x (- 1 (/ z y)))
(- 1 (/ z y))
(/ z y)
(/ (* x (- y z)) y)
(* x (- y z))
(- y z)
Outputs
(+.f64 x (/.f64 x (-.f64 #s(literal 0 binary64) (/.f64 y z))))
(+.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (/.f64 y z))) x)
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x y)) (*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (*.f64 z x))))
(+.f64 (*.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) y)) (/.f64 x (-.f64 #s(literal 0 binary64) (/.f64 y z))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))))
(fma.f64 x #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) (/.f64 y z))))
(fma.f64 #s(literal 1 binary64) x (/.f64 x (-.f64 #s(literal 0 binary64) (/.f64 y z))))
(neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))))
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y))))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y))))))
(/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 z y))))
(/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y z)) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 z y))) y)) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y (/.f64 y (/.f64 z (/.f64 y z)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 z (/.f64 y z)) y)))))
(/.f64 (*.f64 x (-.f64 y z)) y)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 y z))) (-.f64 #s(literal 0 binary64) y))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 y z))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))))
(/.f64 (*.f64 x (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (*.f64 y (+.f64 (*.f64 y y) (*.f64 z (+.f64 z y)))))
(/.f64 (*.f64 x (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (*.f64 (+.f64 (*.f64 y y) (*.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 (-.f64 #s(literal 0 binary64) z) y))) y))
(/.f64 (*.f64 (+.f64 z y) (*.f64 x (-.f64 y z))) (*.f64 y (+.f64 z y)))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y (/.f64 y (/.f64 z (/.f64 y z))))))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 z y))) y)))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 z (/.f64 y z)) y))) (+.f64 #s(literal 1 binary64) (/.f64 z y)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) x) (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y y) (*.f64 z (+.f64 z y)))) y))
(/.f64 (*.f64 (+.f64 (*.f64 y (-.f64 #s(literal 0 binary64) y)) (*.f64 z z)) x) (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 z y)) y))
(/.f64 (*.f64 (*.f64 x (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) #s(literal 1 binary64)) (*.f64 y (+.f64 (*.f64 y y) (*.f64 z (+.f64 z y)))))
(/.f64 (*.f64 (*.f64 x (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) #s(literal -1 binary64)) (*.f64 (+.f64 (*.f64 y y) (*.f64 z (+.f64 z y))) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (*.f64 (*.f64 (+.f64 z y) (*.f64 x (-.f64 y z))) #s(literal 1 binary64)) (*.f64 y (+.f64 z y)))
(/.f64 (*.f64 (*.f64 (+.f64 z y) (*.f64 x (-.f64 y z))) #s(literal -1 binary64)) (*.f64 (+.f64 z y) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) (*.f64 y (+.f64 (*.f64 y y) (*.f64 z (+.f64 z y)))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 z y) (*.f64 x (-.f64 y z)))) (*.f64 y (+.f64 z y)))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) (*.f64 (-.f64 #s(literal 0 binary64) y) (+.f64 (*.f64 y y) (*.f64 z (+.f64 z y)))))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 z y) (*.f64 x (-.f64 y z)))) (*.f64 (-.f64 #s(literal 0 binary64) y) (+.f64 z y)))
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(*.f64 (/.f64 (*.f64 x (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (+.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 z (+.f64 z y)) (*.f64 (*.f64 z (+.f64 z y)) (*.f64 z (+.f64 z y)))))) (+.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (*.f64 z (+.f64 z y)) (-.f64 (*.f64 z (+.f64 z y)) (*.f64 y y)))))
(*.f64 (/.f64 (*.f64 x (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (*.f64 (+.f64 (*.f64 y y) (*.f64 z (+.f64 z y))) (-.f64 (*.f64 y y) (*.f64 z (+.f64 z y))))) (-.f64 (*.f64 y y) (*.f64 z (+.f64 z y))))
(*.f64 (/.f64 (*.f64 (+.f64 z y) (*.f64 x (-.f64 y z))) (-.f64 (*.f64 y y) (*.f64 z z))) (-.f64 y z))
(*.f64 (/.f64 (*.f64 (+.f64 z y) (*.f64 x (-.f64 y z))) (+.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (+.f64 (*.f64 y y) (*.f64 z (-.f64 z y))))
(+.f64 y (-.f64 #s(literal 0 binary64) z))
(+.f64 (-.f64 #s(literal 0 binary64) z) y)
(+.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 y y) (*.f64 z (+.f64 z y)))) (neg.f64 (/.f64 (*.f64 z (*.f64 z z)) (+.f64 (*.f64 y y) (*.f64 z (+.f64 z y))))))
(+.f64 (/.f64 (*.f64 y y) (+.f64 z y)) (neg.f64 (/.f64 (*.f64 z z) (+.f64 z y))))
(-.f64 y z)
(-.f64 #s(literal 0 binary64) (-.f64 z y))
(-.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 y y) (*.f64 z (+.f64 z y)))) (/.f64 (*.f64 z (*.f64 z z)) (+.f64 (*.f64 y y) (*.f64 z (+.f64 z y)))))
(-.f64 (/.f64 (*.f64 y y) (+.f64 z y)) (/.f64 (*.f64 z z) (+.f64 z y)))
(-.f64 (+.f64 y #s(literal 0 binary64)) z)
(fma.f64 #s(literal -1 binary64) z y)
(neg.f64 (+.f64 z (-.f64 #s(literal 0 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 y z)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 y z)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 y y) (*.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 (-.f64 #s(literal 0 binary64) z) y))) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))))
(/.f64 (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (+.f64 (*.f64 y y) (*.f64 z (+.f64 z y))))
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(/.f64 (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (+.f64 (*.f64 z z) (-.f64 (*.f64 y y) (*.f64 (-.f64 #s(literal 0 binary64) y) z))))
(/.f64 (-.f64 (*.f64 y y) (*.f64 z z)) (+.f64 z y))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 y z))))
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(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))) (*.f64 (+.f64 (*.f64 y y) (*.f64 z (+.f64 z y))) (+.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))) (*.f64 (+.f64 z y) (+.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (*.f64 z z) (+.f64 (*.f64 y y) (*.f64 z z))))))
(/.f64 (-.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (+.f64 z y) (+.f64 (*.f64 y y) (*.f64 z z))))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 y y) (*.f64 z (+.f64 z y)))) (*.f64 (+.f64 (*.f64 y y) (*.f64 z (+.f64 z y))) (*.f64 z (*.f64 z z)))) (*.f64 (+.f64 (*.f64 y y) (*.f64 z (+.f64 z y))) (+.f64 (*.f64 y y) (*.f64 z (+.f64 z y)))))
(/.f64 (-.f64 (*.f64 (*.f64 y y) (+.f64 z y)) (*.f64 (+.f64 z y) (*.f64 z z))) (*.f64 (+.f64 z y) (+.f64 z y)))
(/.f64 (*.f64 (-.f64 (*.f64 y y) (*.f64 z z)) #s(literal 1 binary64)) (+.f64 z y))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 z (*.f64 z z)) (+.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) (+.f64 (*.f64 y y) (*.f64 z (+.f64 z y)))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (+.f64 (*.f64 y y) (*.f64 z (+.f64 z y)))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (*.f64 z z) (+.f64 (*.f64 y y) (*.f64 z z)))) (+.f64 z y)))
(/.f64 (*.f64 (-.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (*.f64 z z) (*.f64 z z))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 y y) (*.f64 z z)) (+.f64 z y)))
(/.f64 (*.f64 (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (+.f64 (*.f64 y y) (*.f64 z (+.f64 z y))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y y) (*.f64 z (+.f64 z y))))))
(/.f64 (neg.f64 (+.f64 (*.f64 y (-.f64 #s(literal 0 binary64) y)) (*.f64 z z))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 z y))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 y y) (*.f64 z (+.f64 z y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z (*.f64 z z)) (+.f64 (*.f64 y y) (*.f64 z (+.f64 z y)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 y y) (*.f64 z (+.f64 z y)))) (/.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 y y) (*.f64 z (+.f64 z y))))) (+.f64 (*.f64 (/.f64 (*.f64 z (*.f64 z z)) (+.f64 (*.f64 y y) (*.f64 z (+.f64 z y)))) (/.f64 (*.f64 z (*.f64 z z)) (+.f64 (*.f64 y y) (*.f64 z (+.f64 z y))))) (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 y y) (*.f64 z (+.f64 z y)))) (/.f64 (*.f64 z (*.f64 z z)) (+.f64 (*.f64 y y) (*.f64 z (+.f64 z y))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y y) (+.f64 z y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z z) (+.f64 z y)) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 y y) (+.f64 z y)) (/.f64 (*.f64 y y) (+.f64 z y))) (+.f64 (*.f64 (/.f64 (*.f64 z z) (+.f64 z y)) (/.f64 (*.f64 z z) (+.f64 z y))) (*.f64 (/.f64 (*.f64 y y) (+.f64 z y)) (/.f64 (*.f64 z z) (+.f64 z y))))))
(/.f64 (-.f64 (*.f64 z z) (*.f64 y y)) (-.f64 (-.f64 #s(literal 0 binary64) z) y))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 y y) (*.f64 z (+.f64 z y)))) (/.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 y y) (*.f64 z (+.f64 z y))))) (*.f64 (/.f64 (*.f64 z (*.f64 z z)) (+.f64 (*.f64 y y) (*.f64 z (+.f64 z y)))) (/.f64 (*.f64 z (*.f64 z z)) (+.f64 (*.f64 y y) (*.f64 z (+.f64 z y)))))) (+.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 y y) (*.f64 z (+.f64 z y)))) (/.f64 (*.f64 z (*.f64 z z)) (+.f64 (*.f64 y y) (*.f64 z (+.f64 z y))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y y) (+.f64 z y)) (/.f64 (*.f64 y y) (+.f64 z y))) (*.f64 (/.f64 (*.f64 z z) (+.f64 z y)) (/.f64 (*.f64 z z) (+.f64 z y)))) (+.f64 (/.f64 (*.f64 y y) (+.f64 z y)) (/.f64 (*.f64 z z) (+.f64 z y))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) (*.f64 z (+.f64 z y))))) (+.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 z (*.f64 z z)) (+.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) (*.f64 z (+.f64 z y))))) (+.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (+.f64 z y))) (+.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (*.f64 z z) (+.f64 (*.f64 y y) (*.f64 z z)))))
(/.f64 (*.f64 (-.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (*.f64 z z) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 z y))) (+.f64 (*.f64 y y) (*.f64 z z)))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 y z)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 y z))
(*.f64 (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) (*.f64 z (+.f64 z y)))))
(*.f64 (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) (*.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 (-.f64 #s(literal 0 binary64) z) y)))))
(*.f64 (+.f64 (*.f64 y y) (*.f64 z (+.f64 z y))) (/.f64 (-.f64 y z) (+.f64 (*.f64 y y) (*.f64 z (+.f64 z y)))))
(*.f64 (+.f64 (*.f64 y y) (*.f64 z (+.f64 z y))) (*.f64 (-.f64 y z) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) (*.f64 z (+.f64 z y))))))
(*.f64 (-.f64 (*.f64 y y) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (+.f64 z y)))
(*.f64 (+.f64 z y) (/.f64 (-.f64 y z) (+.f64 z y)))
(*.f64 (+.f64 z y) (*.f64 (-.f64 y z) (/.f64 #s(literal 1 binary64) (+.f64 z y))))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y y) (*.f64 z (+.f64 z y))))))
(*.f64 (+.f64 (*.f64 y (-.f64 #s(literal 0 binary64) y)) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 z y))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) (*.f64 z (+.f64 z y)))) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 z y)) (-.f64 (*.f64 y y) (*.f64 z z)))
(*.f64 (/.f64 (-.f64 (*.f64 y y) (*.f64 z z)) (-.f64 (*.f64 y y) (*.f64 z z))) (-.f64 y z))
(*.f64 (/.f64 (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (+.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 z (+.f64 z y)) (*.f64 (*.f64 z (+.f64 z y)) (*.f64 z (+.f64 z y)))))) (+.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (*.f64 z (+.f64 z y)) (-.f64 (*.f64 z (+.f64 z y)) (*.f64 y y)))))
(*.f64 (/.f64 (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (*.f64 (+.f64 (*.f64 y y) (*.f64 z (+.f64 z y))) (-.f64 (*.f64 y y) (*.f64 z (+.f64 z y))))) (-.f64 (*.f64 y y) (*.f64 z (+.f64 z y))))
(*.f64 (/.f64 (-.f64 (*.f64 y y) (*.f64 z z)) (+.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (+.f64 (*.f64 y y) (*.f64 z (-.f64 z y))))

simplify179.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
1944×fnmadd-define
1904×sum4-define
1784×fma-lowering-fma.f32
1784×fma-lowering-fma.f64
1616×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
063873
1205873
2622813
31852813
44297813
08189813
Stop Event
1×iter limit
1×node limit
Counts
180 → 180
Calls
Call 1
Inputs
(* 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
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(* -1 (/ (* x z) y))
(* z (+ (* -1 (/ x y)) (/ x z)))
(* z (+ (* -1 (/ x y)) (/ x z)))
(* z (+ (* -1 (/ x y)) (/ x z)))
(* -1 (/ (* x z) y))
(* -1 (* z (+ (* -1 (/ x z)) (/ x y))))
(* -1 (* z (+ (* -1 (/ x z)) (/ x y))))
(* -1 (* z (+ (* -1 (/ x z)) (/ x y))))
(* -1 (/ (* x z) y))
(/ (+ (* -1 (* x z)) (* x y)) y)
(/ (+ (* -1 (* x z)) (* x y)) y)
(/ (+ (* -1 (* x z)) (* x y)) y)
x
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
x
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
1
(+ 1 (* -1 (/ z y)))
(+ 1 (* -1 (/ z y)))
(+ 1 (* -1 (/ z y)))
(* -1 (/ z y))
(* z (- (/ 1 z) (/ 1 y)))
(* z (- (/ 1 z) (/ 1 y)))
(* z (- (/ 1 z) (/ 1 y)))
(* -1 (/ z y))
(* -1 (* z (- (/ 1 y) (/ 1 z))))
(* -1 (* z (- (/ 1 y) (/ 1 z))))
(* -1 (* z (- (/ 1 y) (/ 1 z))))
(* -1 (/ z y))
(/ (- y z) y)
(/ (- y z) y)
(/ (- y z) y)
1
(+ 1 (* -1 (/ z y)))
(+ 1 (* -1 (/ z y)))
(+ 1 (* -1 (/ z y)))
1
(+ 1 (* -1 (/ z y)))
(+ 1 (* -1 (/ z y)))
(+ 1 (* -1 (/ 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)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(* -1 (/ (* x z) y))
(/ (+ (* -1 (* x z)) (* x y)) y)
(/ (+ (* -1 (* x z)) (* x y)) y)
(/ (+ (* -1 (* x z)) (* x y)) y)
x
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
x
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
x
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(* -1 (/ (* x z) y))
(* z (+ (* -1 (/ x y)) (/ x z)))
(* z (+ (* -1 (/ x y)) (/ x z)))
(* z (+ (* -1 (/ x y)) (/ x z)))
(* -1 (/ (* x z) y))
(* -1 (* z (+ (* -1 (/ x z)) (/ x y))))
(* -1 (* z (+ (* -1 (/ x z)) (/ x y))))
(* -1 (* z (+ (* -1 (/ x z)) (/ x y))))
(* x (- y z))
(* x (- y z))
(* x (- y z))
(* x (- y z))
(* x (- y z))
(* x (- y z))
(* x (- y z))
(* x (- y z))
(* x (- y z))
(* x (- y z))
(* x (- y z))
(* x (- y z))
(* -1 (* x z))
(+ (* -1 (* x z)) (* x y))
(+ (* -1 (* x z)) (* x y))
(+ (* -1 (* x z)) (* x y))
(* x y)
(* y (+ x (* -1 (/ (* x z) y))))
(* y (+ x (* -1 (/ (* x z) y))))
(* y (+ x (* -1 (/ (* x z) y))))
(* x y)
(* -1 (* y (+ (* -1 x) (/ (* x z) y))))
(* -1 (* y (+ (* -1 x) (/ (* x z) y))))
(* -1 (* y (+ (* -1 x) (/ (* x z) y))))
(* x y)
(+ (* -1 (* x z)) (* x y))
(+ (* -1 (* x z)) (* x y))
(+ (* -1 (* x z)) (* x y))
(* -1 (* x z))
(* z (+ (* -1 x) (/ (* x y) z)))
(* z (+ (* -1 x) (/ (* x y) z)))
(* z (+ (* -1 x) (/ (* x y) z)))
(* -1 (* x z))
(* -1 (* z (+ x (* -1 (/ (* x y) z)))))
(* -1 (* z (+ x (* -1 (/ (* x y) z)))))
(* -1 (* z (+ x (* -1 (/ (* x y) z)))))
(* -1 z)
(- y z)
(- y z)
(- y z)
y
(* y (+ 1 (* -1 (/ z y))))
(* y (+ 1 (* -1 (/ z y))))
(* y (+ 1 (* -1 (/ z y))))
y
(* -1 (* y (- (/ z y) 1)))
(* -1 (* y (- (/ z y) 1)))
(* -1 (* y (- (/ z y) 1)))
y
(+ y (* -1 z))
(+ y (* -1 z))
(+ y (* -1 z))
(* -1 z)
(* z (- (/ y z) 1))
(* z (- (/ y z) 1))
(* z (- (/ y z) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(* -1 (* z (+ 1 (* -1 (/ y z)))))
Outputs
(* x (- 1 (/ z y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(* x (- 1 (/ z y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(* x (- 1 (/ z y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(* x (- 1 (/ z y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(* x (- 1 (/ z y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(* x (- 1 (/ z y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(* x (- 1 (/ z y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(* x (- 1 (/ z y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(* x (- 1 (/ z y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(* x (- 1 (/ z y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(* x (- 1 (/ z y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(* x (- 1 (/ z y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
x
(+ x (* -1 (/ (* x z) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(+ x (* -1 (/ (* x z) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(+ x (* -1 (/ (* x z) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(* z (+ (* -1 (/ x y)) (/ x z)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(* z (+ (* -1 (/ x y)) (/ x z)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(* z (+ (* -1 (/ x y)) (/ x z)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(* -1 (* z (+ (* -1 (/ x z)) (/ x y))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(* -1 (* z (+ (* -1 (/ x z)) (/ x y))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(* -1 (* z (+ (* -1 (/ x z)) (/ x y))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(/ (+ (* -1 (* x z)) (* x y)) y)
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(/ (+ (* -1 (* x z)) (* x y)) y)
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(/ (+ (* -1 (* x z)) (* x y)) y)
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
x
(+ x (* -1 (/ (* x z) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(+ x (* -1 (/ (* x z) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(+ x (* -1 (/ (* x z) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
x
(+ x (* -1 (/ (* x z) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(+ x (* -1 (/ (* x z) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(+ x (* -1 (/ (* x z) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ z y)))
(-.f64 #s(literal 1 binary64) (/.f64 z y))
(+ 1 (* -1 (/ z y)))
(-.f64 #s(literal 1 binary64) (/.f64 z y))
(+ 1 (* -1 (/ z y)))
(-.f64 #s(literal 1 binary64) (/.f64 z y))
(* -1 (/ z y))
(-.f64 #s(literal 0 binary64) (/.f64 z y))
(* z (- (/ 1 z) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (/.f64 z y))
(* z (- (/ 1 z) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (/.f64 z y))
(* z (- (/ 1 z) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (/.f64 z y))
(* -1 (/ z y))
(-.f64 #s(literal 0 binary64) (/.f64 z y))
(* -1 (* z (- (/ 1 y) (/ 1 z))))
(-.f64 #s(literal 1 binary64) (/.f64 z y))
(* -1 (* z (- (/ 1 y) (/ 1 z))))
(-.f64 #s(literal 1 binary64) (/.f64 z y))
(* -1 (* z (- (/ 1 y) (/ 1 z))))
(-.f64 #s(literal 1 binary64) (/.f64 z y))
(* -1 (/ z y))
(-.f64 #s(literal 0 binary64) (/.f64 z y))
(/ (- y z) y)
(-.f64 #s(literal 1 binary64) (/.f64 z y))
(/ (- y z) y)
(-.f64 #s(literal 1 binary64) (/.f64 z y))
(/ (- y z) y)
(-.f64 #s(literal 1 binary64) (/.f64 z y))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ z y)))
(-.f64 #s(literal 1 binary64) (/.f64 z y))
(+ 1 (* -1 (/ z y)))
(-.f64 #s(literal 1 binary64) (/.f64 z y))
(+ 1 (* -1 (/ z y)))
(-.f64 #s(literal 1 binary64) (/.f64 z y))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ z y)))
(-.f64 #s(literal 1 binary64) (/.f64 z y))
(+ 1 (* -1 (/ z y)))
(-.f64 #s(literal 1 binary64) (/.f64 z y))
(+ 1 (* -1 (/ z y)))
(-.f64 #s(literal 1 binary64) (/.f64 z y))
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ (* x (- y z)) y)
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(/ (* x (- y z)) y)
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(/ (* x (- y z)) y)
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(/ (* x (- y z)) y)
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(/ (* x (- y z)) y)
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(/ (* x (- y z)) y)
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(/ (* x (- y z)) y)
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(/ (* x (- y z)) y)
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(/ (* x (- y z)) y)
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(/ (* x (- y z)) y)
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(/ (* x (- y z)) y)
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(/ (* x (- y z)) y)
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(/ (+ (* -1 (* x z)) (* x y)) y)
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(/ (+ (* -1 (* x z)) (* x y)) y)
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(/ (+ (* -1 (* x z)) (* x y)) y)
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
x
(+ x (* -1 (/ (* x z) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(+ x (* -1 (/ (* x z) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(+ x (* -1 (/ (* x z) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
x
(+ x (* -1 (/ (* x z) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(+ x (* -1 (/ (* x z) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(+ x (* -1 (/ (* x z) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
x
(+ x (* -1 (/ (* x z) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(+ x (* -1 (/ (* x z) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(+ x (* -1 (/ (* x z) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(* z (+ (* -1 (/ x y)) (/ x z)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(* z (+ (* -1 (/ x y)) (/ x z)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(* z (+ (* -1 (/ x y)) (/ x z)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(* -1 (* z (+ (* -1 (/ x z)) (/ x y))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(* -1 (* z (+ (* -1 (/ x z)) (/ x y))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(* -1 (* z (+ (* -1 (/ x z)) (/ x y))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(* x (- y z))
(*.f64 x (-.f64 y z))
(* x (- y z))
(*.f64 x (-.f64 y z))
(* x (- y z))
(*.f64 x (-.f64 y z))
(* x (- y z))
(*.f64 x (-.f64 y z))
(* x (- y z))
(*.f64 x (-.f64 y z))
(* x (- y z))
(*.f64 x (-.f64 y z))
(* x (- y z))
(*.f64 x (-.f64 y z))
(* x (- y z))
(*.f64 x (-.f64 y z))
(* x (- y z))
(*.f64 x (-.f64 y z))
(* x (- y z))
(*.f64 x (-.f64 y z))
(* x (- y z))
(*.f64 x (-.f64 y z))
(* x (- y z))
(*.f64 x (-.f64 y z))
(* -1 (* x z))
(-.f64 #s(literal 0 binary64) (*.f64 x z))
(+ (* -1 (* x z)) (* x y))
(*.f64 x (-.f64 y z))
(+ (* -1 (* x z)) (* x y))
(*.f64 x (-.f64 y z))
(+ (* -1 (* x z)) (* x y))
(*.f64 x (-.f64 y z))
(* x y)
(*.f64 x y)
(* y (+ x (* -1 (/ (* x z) y))))
(*.f64 x (-.f64 y z))
(* y (+ x (* -1 (/ (* x z) y))))
(*.f64 x (-.f64 y z))
(* y (+ x (* -1 (/ (* x z) y))))
(*.f64 x (-.f64 y z))
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (/ (* x z) y))))
(*.f64 x (-.f64 y z))
(* -1 (* y (+ (* -1 x) (/ (* x z) y))))
(*.f64 x (-.f64 y z))
(* -1 (* y (+ (* -1 x) (/ (* x z) y))))
(*.f64 x (-.f64 y z))
(* x y)
(*.f64 x y)
(+ (* -1 (* x z)) (* x y))
(*.f64 x (-.f64 y z))
(+ (* -1 (* x z)) (* x y))
(*.f64 x (-.f64 y z))
(+ (* -1 (* x z)) (* x y))
(*.f64 x (-.f64 y z))
(* -1 (* x z))
(-.f64 #s(literal 0 binary64) (*.f64 x z))
(* z (+ (* -1 x) (/ (* x y) z)))
(*.f64 x (-.f64 y z))
(* z (+ (* -1 x) (/ (* x y) z)))
(*.f64 x (-.f64 y z))
(* z (+ (* -1 x) (/ (* x y) z)))
(*.f64 x (-.f64 y z))
(* -1 (* x z))
(-.f64 #s(literal 0 binary64) (*.f64 x z))
(* -1 (* z (+ x (* -1 (/ (* x y) z)))))
(*.f64 x (-.f64 y z))
(* -1 (* z (+ x (* -1 (/ (* x y) z)))))
(*.f64 x (-.f64 y z))
(* -1 (* z (+ x (* -1 (/ (* x y) z)))))
(*.f64 x (-.f64 y z))
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(- y z)
(-.f64 y z)
(- y z)
(-.f64 y z)
(- y z)
(-.f64 y z)
y
(* y (+ 1 (* -1 (/ z y))))
(-.f64 y z)
(* y (+ 1 (* -1 (/ z y))))
(-.f64 y z)
(* y (+ 1 (* -1 (/ z y))))
(-.f64 y z)
y
(* -1 (* y (- (/ z y) 1)))
(-.f64 y z)
(* -1 (* y (- (/ z y) 1)))
(-.f64 y z)
(* -1 (* y (- (/ z y) 1)))
(-.f64 y z)
y
(+ y (* -1 z))
(-.f64 y z)
(+ y (* -1 z))
(-.f64 y z)
(+ y (* -1 z))
(-.f64 y z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* z (- (/ y z) 1))
(-.f64 y z)
(* z (- (/ y z) 1))
(-.f64 y z)
(* z (- (/ y z) 1))
(-.f64 y z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(-.f64 y z)
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(-.f64 y z)
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(-.f64 y z)

eval122.0ms (1.3%)

Compiler

Compiled 11200 to 1097 computations (90.2% saved)

prune54.0ms (0.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New6046610
Fresh000
Picked022
Done000
Total6048612
Accuracy
100.0%
Counts
612 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓85.3%
(/.f64 (*.f64 x (-.f64 y z)) y)
▶37.6%
(/.f64 (*.f64 x y) y)
▶96.4%
(/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y z)) y))
92.9%
(+.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (/.f64 y z))) x)
▶87.0%
(*.f64 (/.f64 x y) (-.f64 y z))
▶85.2%
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (-.f64 y z)))
✓96.1%
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
▶47.3%
x
Compiler

Compiled 136 to 89 computations (34.6% saved)

simplify182.0ms (2%)

Algorithm
1×egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 y z)
✓cost-diff0
(*.f64 x (-.f64 y z))
✓cost-diff0
(/.f64 #s(literal 1 binary64) y)
✓cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (-.f64 y z)))
✓cost-diff0
(-.f64 y z)
✓cost-diff0
(/.f64 x y)
✓cost-diff0
(*.f64 (/.f64 x y) (-.f64 y z))
✓cost-diff0
(*.f64 x y)
✓cost-diff256
(/.f64 (*.f64 x y) y)
✓cost-diff0
(-.f64 y z)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 y z))
✓cost-diff0
(/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y z)) y))
✓cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y z)) y)
Rules
1828×*-lowering-*.f32
1828×*-lowering-*.f64
1364×fma-define
1318×/-lowering-/.f32
1318×/-lowering-/.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01571
13767
28367
328964
485764
5246564
6716764
0802664
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ x (* (/ 1 (- y z)) y))
x
(* (/ 1 (- y z)) y)
(/ 1 (- y z))
1
(- y z)
y
z
x
(/ (* x y) y)
(* x y)
x
y
(* (/ x y) (- y z))
(/ x y)
x
y
(- y z)
z
(* (/ 1 y) (* x (- y z)))
(/ 1 y)
1
y
(* x (- y z))
x
(- y z)
z
Outputs
(/ x (* (/ 1 (- y z)) y))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
x
(* (/ 1 (- y z)) y)
(/.f64 y (-.f64 y z))
(/ 1 (- y z))
(/.f64 #s(literal 1 binary64) (-.f64 y z))
1
#s(literal 1 binary64)
(- y z)
(-.f64 y z)
y
z
x
(/ (* x y) y)
x
(* x y)
(*.f64 x y)
x
y
(* (/ x y) (- y z))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(/ x y)
(/.f64 x y)
x
y
(- y z)
(-.f64 y z)
z
(* (/ 1 y) (* x (- y z)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
y
(* x (- y z))
(*.f64 x (-.f64 y z))
x
(- y z)
(-.f64 y z)
z

localize131.0ms (1.4%)

Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
✓accuracy100.0%
(-.f64 y z)
✓accuracy100.0%
(*.f64 x (-.f64 y z))
✓accuracy85.2%
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (-.f64 y z)))
✓accuracy100.0%
(/.f64 x y)
✓accuracy100.0%
(-.f64 y z)
✓accuracy87.0%
(*.f64 (/.f64 x y) (-.f64 y z))
✓accuracy100.0%
(*.f64 x y)
✓accuracy78.3%
(/.f64 (*.f64 x y) y)
✓accuracy100.0%
(-.f64 y z)
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (-.f64 y z))
✓accuracy99.7%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y z)) y)
✓accuracy96.5%
(/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y z)) y))
Results
92.0ms256×0valid
Compiler

Compiled 83 to 16 computations (80.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-mult: 22.0ms (66% of total)
ival-div: 9.0ms (27% of total)
ival-sub: 2.0ms (6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series11.0ms (0.1%)

Counts
11 → 300
Calls
Call 1
Inputs
#<alt (* (/ 1 (- y z)) y)>
#<alt (/ x (* (/ 1 (- y z)) y))>
#<alt (/ 1 (- y z))>
#<alt (- y z)>
#<alt (/ (* x y) y)>
#<alt (* x y)>
#<alt (* (/ x y) (- y z))>
#<alt (/ x y)>
#<alt (* (/ 1 y) (* x (- y z)))>
#<alt (/ 1 y)>
#<alt (* x (- y z))>
Outputs
#<alt (* -1 (/ y z))>
#<alt (* y (- (* -1 (/ y (pow z 2))) (/ 1 z)))>
#<alt (* y (- (* y (- (* -1 (/ y (pow z 3))) (/ 1 (pow z 2)))) (/ 1 z)))>
#<alt (* y (- (* y (- (* y (- (* -1 (/ y (pow z 4))) (/ 1 (pow z 3)))) (/ 1 (pow z 2)))) (/ 1 z)))>
#<alt 1>
#<alt (+ 1 (/ z y))>
#<alt (- (+ 1 (/ (pow z 2) (pow y 2))) (* -1 (/ z y)))>
#<alt (- (+ 1 (/ (pow z 3) (pow y 3))) (+ (* -1 (/ z y)) (* -1 (/ (pow z 2) (pow y 2)))))>
#<alt 1>
#<alt (+ 1 (/ z y))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (pow z 2) y)) z) y)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow z 3) y) (* -1 (pow z 2))) y)) z) y)))>
#<alt 1>
#<alt (+ 1 (/ z y))>
#<alt (+ 1 (* z (+ (/ 1 y) (/ z (pow y 2)))))>
#<alt (+ 1 (* z (+ (* z (+ (/ 1 (pow y 2)) (/ z (pow y 3)))) (/ 1 y))))>
#<alt (* -1 (/ y z))>
#<alt (/ (+ (* -1 y) (* -1 (/ (pow y 2) z))) z)>
#<alt (/ (- (+ (* -1 y) (* -1 (/ (pow y 3) (pow z 2)))) (/ (pow y 2) z)) z)>
#<alt (/ (- (+ (* -1 y) (* -1 (/ (pow y 4) (pow z 3)))) (+ (/ (pow y 2) z) (/ (pow y 3) (pow z 2)))) z)>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ (+ y (/ (pow y 2) z)) z))>
#<alt (* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (pow y 3) z)) (pow y 2)) z))) z))>
#<alt (* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) z) (* -1 (pow y 3))) z)) (pow y 2)) z))) z))>
#<alt (/ (* x (- y z)) y)>
#<alt (/ (* x (- y z)) y)>
#<alt (/ (* x (- y z)) y)>
#<alt (/ (* x (- y z)) y)>
#<alt (/ (* x (- y z)) y)>
#<alt (/ (* x (- y z)) y)>
#<alt (/ (* x (- y z)) y)>
#<alt (/ (* x (- y z)) y)>
#<alt (/ (* x (- y z)) y)>
#<alt (/ (* x (- y z)) y)>
#<alt (/ (* x (- y z)) y)>
#<alt (/ (* x (- y z)) y)>
#<alt (* -1 (/ (* x z) y))>
#<alt (/ (+ (* -1 (* x z)) (* x y)) y)>
#<alt (/ (+ (* -1 (* x z)) (* x y)) y)>
#<alt (/ (+ (* -1 (* x z)) (* x y)) y)>
#<alt x>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt x>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt x>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* z (+ (* -1 (/ x y)) (/ x z)))>
#<alt (* z (+ (* -1 (/ x y)) (/ x z)))>
#<alt (* z (+ (* -1 (/ x y)) (/ x z)))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (/ x y))))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (/ x y))))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (/ x y))))>
#<alt (/ -1 z)>
#<alt (- (* -1 (/ y (pow z 2))) (/ 1 z))>
#<alt (- (* y (- (* -1 (/ y (pow z 3))) (/ 1 (pow z 2)))) (/ 1 z))>
#<alt (- (* y (- (* y (- (* -1 (/ y (pow z 4))) (/ 1 (pow z 3)))) (/ 1 (pow z 2)))) (/ 1 z))>
#<alt (/ 1 y)>
#<alt (/ (+ 1 (/ z y)) y)>
#<alt (/ (- (+ 1 (/ (pow z 2) (pow y 2))) (* -1 (/ z y))) y)>
#<alt (/ (- (+ 1 (/ (pow z 3) (pow y 3))) (+ (* -1 (/ z y)) (* -1 (/ (pow z 2) (pow y 2))))) y)>
#<alt (/ 1 y)>
#<alt (* -1 (/ (- (* -1 (/ z y)) 1) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow z 2) y) (* -1 z)) y)) 1) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow z 3) y)) (pow z 2)) y)) (* -1 z)) y)) 1) y))>
#<alt (/ 1 y)>
#<alt (+ (/ 1 y) (/ z (pow y 2)))>
#<alt (+ (* z (+ (/ 1 (pow y 2)) (/ z (pow y 3)))) (/ 1 y))>
#<alt (+ (* z (+ (* z (+ (/ 1 (pow y 3)) (/ z (pow y 4)))) (/ 1 (pow y 2)))) (/ 1 y))>
#<alt (/ -1 z)>
#<alt (/ (- (* -1 (/ y z)) 1) z)>
#<alt (/ (- (* -1 (/ (pow y 2) (pow z 2))) (+ 1 (/ y z))) z)>
#<alt (/ (- (* -1 (/ (pow y 3) (pow z 3))) (+ 1 (+ (/ y z) (/ (pow y 2) (pow z 2))))) z)>
#<alt (/ -1 z)>
#<alt (* -1 (/ (+ 1 (/ y z)) z))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) z)) y) z))) z))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) z) (* -1 (pow y 2))) z)) y) z))) z))>
#<alt (* -1 z)>
#<alt (- y z)>
#<alt (- y z)>
#<alt (- y z)>
#<alt y>
#<alt (* y (+ 1 (* -1 (/ z y))))>
#<alt (* y (+ 1 (* -1 (/ z y))))>
#<alt (* y (+ 1 (* -1 (/ z y))))>
#<alt y>
#<alt (* -1 (* y (- (/ z y) 1)))>
#<alt (* -1 (* y (- (/ z y) 1)))>
#<alt (* -1 (* y (- (/ z y) 1)))>
#<alt y>
#<alt (+ y (* -1 z))>
#<alt (+ y (* -1 z))>
#<alt (+ y (* -1 z))>
#<alt (* -1 z)>
#<alt (* z (- (/ y z) 1))>
#<alt (* z (- (/ y z) 1))>
#<alt (* z (- (/ y z) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ y z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ y z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ y z)))))>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (/ (* x (- y z)) y)>
#<alt (/ (* x (- y z)) y)>
#<alt (/ (* x (- y z)) y)>
#<alt (/ (* x (- y z)) y)>
#<alt (/ (* x (- y z)) y)>
#<alt (/ (* x (- y z)) y)>
#<alt (/ (* x (- y z)) y)>
#<alt (/ (* x (- y z)) y)>
#<alt (/ (* x (- y z)) y)>
#<alt (/ (* x (- y z)) y)>
#<alt (/ (* x (- y z)) y)>
#<alt (/ (* x (- y z)) y)>
#<alt (* -1 (/ (* x z) y))>
#<alt (/ (+ (* -1 (* x z)) (* x y)) y)>
#<alt (/ (+ (* -1 (* x z)) (* x y)) y)>
#<alt (/ (+ (* -1 (* x z)) (* x y)) y)>
#<alt x>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt x>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt x>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* z (+ (* -1 (/ x y)) (/ x z)))>
#<alt (* z (+ (* -1 (/ x y)) (/ x z)))>
#<alt (* z (+ (* -1 (/ x y)) (/ x z)))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (/ x y))))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (/ x y))))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (/ 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 (* -1 (/ (* x z) y))>
#<alt (/ (+ (* -1 (* x z)) (* x y)) y)>
#<alt (/ (+ (* -1 (* x z)) (* x y)) y)>
#<alt (/ (+ (* -1 (* x z)) (* x y)) y)>
#<alt x>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt x>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt (/ (* x (- y z)) y)>
#<alt (/ (* x (- y z)) y)>
#<alt (/ (* x (- y z)) y)>
#<alt (/ (* x (- y z)) y)>
#<alt (/ (* x (- y z)) y)>
#<alt (/ (* x (- y z)) y)>
#<alt (/ (* x (- y z)) y)>
#<alt (/ (* x (- y z)) y)>
#<alt (/ (* x (- y z)) y)>
#<alt (/ (* x (- y z)) y)>
#<alt (/ (* x (- y z)) y)>
#<alt (/ (* x (- y z)) y)>
#<alt x>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* z (+ (* -1 (/ x y)) (/ x z)))>
#<alt (* z (+ (* -1 (/ x y)) (/ x z)))>
#<alt (* z (+ (* -1 (/ x y)) (/ x z)))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (/ x y))))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (/ x y))))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (/ x y))))>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (* x (- y z))>
#<alt (* x (- y z))>
#<alt (* x (- y z))>
#<alt (* x (- y z))>
#<alt (* x (- y z))>
#<alt (* x (- y z))>
#<alt (* x (- y z))>
#<alt (* x (- y z))>
#<alt (* x (- y z))>
#<alt (* x (- y z))>
#<alt (* x (- y z))>
#<alt (* x (- y z))>
#<alt (* -1 (* x z))>
#<alt (+ (* -1 (* x z)) (* x y))>
#<alt (+ (* -1 (* x z)) (* x y))>
#<alt (+ (* -1 (* x z)) (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (* -1 (/ (* x z) y))))>
#<alt (* y (+ x (* -1 (/ (* x z) y))))>
#<alt (* y (+ x (* -1 (/ (* x z) y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (/ (* x z) y))))>
#<alt (* -1 (* y (+ (* -1 x) (/ (* x z) y))))>
#<alt (* -1 (* y (+ (* -1 x) (/ (* x z) y))))>
#<alt (* x y)>
#<alt (+ (* -1 (* x z)) (* x y))>
#<alt (+ (* -1 (* x z)) (* x y))>
#<alt (+ (* -1 (* x z)) (* x y))>
#<alt (* -1 (* x z))>
#<alt (* z (+ (* -1 x) (/ (* x y) z)))>
#<alt (* z (+ (* -1 x) (/ (* x y) z)))>
#<alt (* z (+ (* -1 x) (/ (* x y) z)))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* z (+ x (* -1 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ x (* -1 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ x (* -1 (/ (* x y) z)))))>
Calls

75 calls:

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

rewrite334.0ms (3.6%)

Algorithm
1×batch-egg-rewrite
Rules
2834×*-lowering-*.f32
2834×*-lowering-*.f64
2380×/-lowering-/.f32
2380×/-lowering-/.f64
2258×fma-lowering-fma.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01555
18049
251247
3584044
0826644
Stop Event
1×iter limit
1×node limit
Counts
11 → 1335
Calls
Call 1
Inputs
(* (/ 1 (- y z)) y)
(/ x (* (/ 1 (- y z)) y))
(/ 1 (- y z))
(- y z)
(/ (* x y) y)
(* x y)
(* (/ x y) (- y z))
(/ x y)
(* (/ 1 y) (* x (- y z)))
(/ 1 y)
(* x (- y z))
Outputs
(+.f64 (*.f64 (/.f64 y (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (*.f64 y y)) (*.f64 (/.f64 y (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (*.f64 z (+.f64 y z))))
(+.f64 (*.f64 (/.f64 y (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (*.f64 z (+.f64 y z))) (*.f64 (/.f64 y (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (*.f64 y y)))
(+.f64 (*.f64 (/.f64 y (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (+.f64 (*.f64 y y) (*.f64 z z))) (*.f64 (/.f64 y (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (*.f64 y z)))
(+.f64 (*.f64 (/.f64 y (-.f64 (*.f64 y y) (*.f64 z z))) y) (*.f64 (/.f64 y (-.f64 (*.f64 y y) (*.f64 z z))) z))
(+.f64 (*.f64 (/.f64 y (-.f64 (*.f64 y y) (*.f64 z z))) z) (*.f64 (/.f64 y (-.f64 (*.f64 y y) (*.f64 z z))) y))
(+.f64 (*.f64 (*.f64 y y) (/.f64 y (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) (*.f64 (*.f64 z (+.f64 y z)) (/.f64 y (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))))
(+.f64 (*.f64 (*.f64 z (+.f64 y z)) (/.f64 y (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) (*.f64 (*.f64 y y) (/.f64 y (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))))
(+.f64 (*.f64 (+.f64 (*.f64 y y) (*.f64 z z)) (/.f64 y (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) (*.f64 (*.f64 y z) (/.f64 y (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))))
(+.f64 (*.f64 y (/.f64 y (-.f64 (*.f64 y y) (*.f64 z z)))) (*.f64 z (/.f64 y (-.f64 (*.f64 y y) (*.f64 z z)))))
(+.f64 (*.f64 z (/.f64 y (-.f64 (*.f64 y y) (*.f64 z z)))) (*.f64 y (/.f64 y (-.f64 (*.f64 y y) (*.f64 z z)))))
(-.f64 #s(literal 0 binary64) (/.f64 y (-.f64 z y)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 z y)) (/.f64 y (-.f64 z y)))
(fma.f64 y (/.f64 y (-.f64 (*.f64 y y) (*.f64 z z))) (*.f64 z (/.f64 y (-.f64 (*.f64 y y) (*.f64 z z)))))
(fma.f64 z (/.f64 y (-.f64 (*.f64 y y) (*.f64 z z))) (*.f64 y (/.f64 y (-.f64 (*.f64 y y) (*.f64 z z)))))
(fma.f64 (*.f64 y y) (/.f64 y (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (*.f64 (*.f64 z (+.f64 y z)) (/.f64 y (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))))
(fma.f64 (*.f64 z (+.f64 y z)) (/.f64 y (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (*.f64 (*.f64 y y) (/.f64 y (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))))
(fma.f64 (+.f64 (*.f64 y y) (*.f64 z z)) (/.f64 y (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (*.f64 (*.f64 y z) (/.f64 y (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))))
(fma.f64 (/.f64 y (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (*.f64 y y) (*.f64 (/.f64 y (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (*.f64 z (+.f64 y z))))
(fma.f64 (/.f64 y (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (*.f64 z (+.f64 y z)) (*.f64 (/.f64 y (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (*.f64 y y)))
(fma.f64 (/.f64 y (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (+.f64 (*.f64 y y) (*.f64 z z)) (*.f64 (/.f64 y (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (*.f64 y z)))
(fma.f64 (/.f64 y (-.f64 (*.f64 y y) (*.f64 z z))) y (*.f64 (/.f64 y (-.f64 (*.f64 y y) (*.f64 z z))) z))
(fma.f64 (/.f64 y (-.f64 (*.f64 y y) (*.f64 z z))) z (*.f64 (/.f64 y (-.f64 (*.f64 y y) (*.f64 z z))) y))
(neg.f64 (/.f64 y (-.f64 z y)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(/.f64 y (-.f64 y z))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 y z)) (/.f64 #s(literal 1 binary64) y))
(/.f64 (/.f64 y (-.f64 y z)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 z y) y))
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 z y) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 z y))
(/.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 #s(literal 1 binary64) (-.f64 z y)))
(/.f64 (/.f64 y (-.f64 z y)) #s(literal -1 binary64))
(/.f64 (*.f64 y (+.f64 (*.f64 y y) (*.f64 z (+.f64 y z)))) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))
(/.f64 (*.f64 y (+.f64 y z)) (-.f64 (*.f64 y y) (*.f64 z z)))
(/.f64 (/.f64 y (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) (*.f64 z (+.f64 y z)))))
(/.f64 (/.f64 y (-.f64 (*.f64 y y) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 y z)))
(/.f64 (*.f64 y (+.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (*.f64 (-.f64 (*.f64 y y) (*.f64 z z)) (+.f64 (*.f64 y y) (*.f64 z (-.f64 z y)))))
(/.f64 (*.f64 y (+.f64 (*.f64 y (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 z (+.f64 y z)) (*.f64 (*.f64 z (+.f64 y z)) (*.f64 z (+.f64 y z)))))) (*.f64 (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (+.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (*.f64 z (+.f64 y z)) (-.f64 (*.f64 z (+.f64 y z)) (*.f64 y y))))))
(/.f64 (*.f64 y (*.f64 (+.f64 (*.f64 y y) (*.f64 z (+.f64 y z))) (-.f64 (*.f64 y y) (*.f64 z (+.f64 y z))))) (*.f64 (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (-.f64 (*.f64 y y) (*.f64 z (+.f64 y z)))))
(/.f64 (*.f64 y (-.f64 (*.f64 y y) (*.f64 z z))) (*.f64 (-.f64 (*.f64 y y) (*.f64 z z)) (-.f64 y z)))
(/.f64 (*.f64 (/.f64 y (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (+.f64 (*.f64 y (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 z (+.f64 y z)) (*.f64 (*.f64 z (+.f64 y z)) (*.f64 z (+.f64 y z)))))) (+.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (*.f64 z (+.f64 y z)) (-.f64 (*.f64 z (+.f64 y z)) (*.f64 y y)))))
(/.f64 (*.f64 (/.f64 y (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (*.f64 (+.f64 (*.f64 y y) (*.f64 z (+.f64 y z))) (-.f64 (*.f64 y y) (*.f64 z (+.f64 y z))))) (-.f64 (*.f64 y y) (*.f64 z (+.f64 y z))))
(/.f64 (*.f64 (/.f64 y (-.f64 (*.f64 y y) (*.f64 z z))) (-.f64 (*.f64 y y) (*.f64 z z))) (-.f64 y z))
(/.f64 (*.f64 (/.f64 y (-.f64 (*.f64 y y) (*.f64 z z))) (+.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (+.f64 (*.f64 y y) (*.f64 z (-.f64 z y))))
(pow.f64 (/.f64 y (-.f64 y z)) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 y (-.f64 y z)))
(*.f64 y (/.f64 #s(literal 1 binary64) (-.f64 y z)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y z)) y)
(*.f64 (/.f64 y (-.f64 y z)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 y (-.f64 z y)))
(*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 z y)))
(*.f64 (/.f64 y (-.f64 z y)) #s(literal -1 binary64))
(*.f64 (+.f64 (*.f64 y y) (*.f64 z (+.f64 y z))) (/.f64 y (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))))
(*.f64 (+.f64 y z) (/.f64 y (-.f64 (*.f64 y y) (*.f64 z z))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) (-.f64 #s(literal 0 binary64) y))
(*.f64 (pow.f64 (-.f64 y z) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (-.f64 y z) #s(literal -1/2 binary64)) y))
(*.f64 (/.f64 y (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (+.f64 (*.f64 y y) (*.f64 z (+.f64 y z))))
(*.f64 (/.f64 y (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (+.f64 (*.f64 y y) (*.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) (+.f64 y z)))))
(*.f64 (/.f64 y (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) (*.f64 z (+.f64 y z))))))
(*.f64 (/.f64 y (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (/.f64 (+.f64 (*.f64 y y) (*.f64 z (+.f64 y z))) #s(literal 1 binary64)))
(*.f64 (/.f64 y (-.f64 (*.f64 y y) (*.f64 z z))) (+.f64 y z))
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(fma.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) y) (*.f64 (*.f64 x (-.f64 #s(literal 0 binary64) z)) #s(literal 1 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) y) (*.f64 z (-.f64 #s(literal 0 binary64) x)))
(fma.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) x) (*.f64 x (-.f64 #s(literal 0 binary64) z)))
(fma.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) x) (*.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) z))))
(fma.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) x) (*.f64 (*.f64 x (-.f64 #s(literal 0 binary64) z)) #s(literal 1 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) x) (*.f64 z (-.f64 #s(literal 0 binary64) x)))
(fma.f64 (-.f64 #s(literal 0 binary64) z) x (*.f64 y x))
(neg.f64 (*.f64 x (-.f64 z y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 y z) x)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 y z))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 y z) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 y y) (*.f64 z (+.f64 y z))) (*.f64 x (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y z) (*.f64 x (-.f64 (*.f64 y y) (*.f64 z z)))))
(/.f64 (-.f64 y z) (/.f64 #s(literal 1 binary64) x))
(/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 y z)))
(/.f64 (*.f64 y x) (/.f64 y (-.f64 y z)))
(/.f64 (*.f64 (-.f64 y z) x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 y z))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 y z) x))))
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 z y)))
(/.f64 (-.f64 z y) (/.f64 #s(literal -1 binary64) x))
(/.f64 (-.f64 z y) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(/.f64 (*.f64 y (-.f64 #s(literal 0 binary64) x)) (/.f64 y (-.f64 z y)))
(/.f64 (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 y y) (*.f64 z (+.f64 y z)))))
(/.f64 (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 y y) (*.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) (+.f64 y z))))))
(/.f64 (-.f64 (*.f64 y y) (*.f64 z z)) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 y z)))
(/.f64 (*.f64 x (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (+.f64 (*.f64 y y) (*.f64 z (+.f64 y z))))
(/.f64 (*.f64 x (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (+.f64 (*.f64 y y) (*.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) (+.f64 y z)))))
(/.f64 (*.f64 x (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) (*.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) (+.f64 y z))))))
(/.f64 (*.f64 x (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y y) (*.f64 z (+.f64 y z))))))
(/.f64 (*.f64 x (-.f64 (*.f64 y y) (*.f64 z z))) (+.f64 y z))
(/.f64 (*.f64 x (-.f64 (*.f64 y y) (*.f64 z z))) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 y z))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y y) (*.f64 z (+.f64 y z)))))
(/.f64 (*.f64 (+.f64 y z) (*.f64 x (-.f64 z y))) (-.f64 #s(literal 0 binary64) (+.f64 y z)))
(/.f64 (*.f64 x (-.f64 z y)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (*.f64 y y) (*.f64 z (+.f64 y z)))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (*.f64 y y) (*.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) (+.f64 y z))))))
(/.f64 (*.f64 (+.f64 y z) (-.f64 z y)) (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 y z)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 z y)) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y y) (*.f64 z (+.f64 y z))))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 y z) (-.f64 z y))) (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (+.f64 y z))))
(/.f64 (*.f64 (*.f64 y x) (-.f64 y z)) y)
(/.f64 (*.f64 (*.f64 y x) (-.f64 z y)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (*.f64 (*.f64 y x) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (*.f64 y (+.f64 (*.f64 y y) (*.f64 z (+.f64 y z)))))
(/.f64 (*.f64 (*.f64 y x) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (*.f64 y (+.f64 (*.f64 y y) (*.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) (+.f64 y z))))))
(/.f64 (*.f64 (*.f64 y x) (-.f64 (*.f64 y y) (*.f64 z z))) (*.f64 y (+.f64 y z)))
(/.f64 (*.f64 (*.f64 y x) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) (*.f64 y (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y y) (*.f64 z (+.f64 y z))))))
(/.f64 (*.f64 (*.f64 y x) (*.f64 (+.f64 y z) (-.f64 z y))) (*.f64 y (-.f64 #s(literal 0 binary64) (+.f64 y z))))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) (*.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y y) (*.f64 z (+.f64 y z))))))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 y z) (-.f64 z y))) (*.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 0 binary64) (+.f64 y z))))
(/.f64 (*.f64 (*.f64 y (-.f64 #s(literal 0 binary64) x)) (-.f64 y z)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (*.f64 (*.f64 y (-.f64 #s(literal 0 binary64) x)) (-.f64 z y)) y)
(/.f64 (*.f64 (*.f64 y (-.f64 #s(literal 0 binary64) x)) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (neg.f64 (*.f64 y (+.f64 (*.f64 y y) (*.f64 z (+.f64 y z))))))
(/.f64 (*.f64 (*.f64 y (-.f64 #s(literal 0 binary64) x)) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (*.f64 (-.f64 #s(literal 0 binary64) y) (+.f64 (*.f64 y y) (*.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) (+.f64 y z))))))
(/.f64 (*.f64 (*.f64 y (-.f64 #s(literal 0 binary64) x)) (-.f64 (*.f64 y y) (*.f64 z z))) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 y z))))
(/.f64 (*.f64 (*.f64 y (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) (*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y y) (*.f64 z (+.f64 y z))))))
(/.f64 (*.f64 (*.f64 y (-.f64 #s(literal 0 binary64) x)) (*.f64 (+.f64 y z) (-.f64 z y))) (*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (+.f64 y z))))
(/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y y) (*.f64 z (+.f64 y z)))))
(/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y y) (*.f64 z (+.f64 y z))))))
(/.f64 (*.f64 x (*.f64 (+.f64 y z) (-.f64 z y))) (-.f64 #s(literal 0 binary64) (+.f64 y z)))
(/.f64 (*.f64 x (*.f64 (+.f64 y z) (-.f64 z y))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 y z))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) x) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y y) (*.f64 z (+.f64 y z)))))
(/.f64 (*.f64 (*.f64 (+.f64 y z) (-.f64 z y)) x) (-.f64 #s(literal 0 binary64) (+.f64 y z)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) (+.f64 (*.f64 y y) (*.f64 z (+.f64 y z))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (+.f64 y z) (-.f64 z y))) (+.f64 y z))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) (+.f64 (*.f64 y y) (*.f64 z (+.f64 y z))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 y y) (*.f64 z z)))) (+.f64 y z))
(/.f64 (*.f64 (*.f64 x (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) #s(literal 1 binary64)) (+.f64 (*.f64 y y) (*.f64 z (+.f64 y z))))
(/.f64 (*.f64 (*.f64 x (-.f64 (*.f64 y y) (*.f64 z z))) #s(literal 1 binary64)) (+.f64 y z))
(/.f64 (/.f64 x (pow.f64 (-.f64 y z) #s(literal -1/2 binary64))) (pow.f64 (-.f64 y z) #s(literal -1/2 binary64)))
(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) (+.f64 (*.f64 y y) (*.f64 z (+.f64 y z))))
(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y y) (*.f64 z z)))) (+.f64 y z))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 x (-.f64 #s(literal 0 binary64) z)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (-.f64 (*.f64 (*.f64 x (-.f64 #s(literal 0 binary64) z)) (*.f64 x (-.f64 #s(literal 0 binary64) z))) (*.f64 (*.f64 y x) (*.f64 x (-.f64 #s(literal 0 binary64) z))))))
(/.f64 (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 (*.f64 x (-.f64 #s(literal 0 binary64) z)) (*.f64 x (-.f64 #s(literal 0 binary64) z)))) (-.f64 (*.f64 y x) (*.f64 x (-.f64 #s(literal 0 binary64) z))))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 y z) x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (-.f64 y z) x))
(*.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y))))
(*.f64 (-.f64 y z) x)
(*.f64 x (-.f64 y z))
(*.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 y x) (-.f64 y z)))
(*.f64 (*.f64 (-.f64 y z) x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 z y)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 z y))
(*.f64 (-.f64 z y) (-.f64 #s(literal 0 binary64) x))
(*.f64 (*.f64 y (-.f64 #s(literal 0 binary64) x)) (/.f64 (-.f64 z y) y))
(*.f64 (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (/.f64 x (+.f64 (*.f64 y y) (*.f64 z (+.f64 y z)))))
(*.f64 (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) (*.f64 z (+.f64 y z)))) x))
(*.f64 (-.f64 (*.f64 y y) (*.f64 z z)) (/.f64 x (+.f64 y z)))
(*.f64 (-.f64 (*.f64 y y) (*.f64 z z)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y z)) x))
(*.f64 (*.f64 x (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) (*.f64 z (+.f64 y z)))))
(*.f64 (*.f64 x (-.f64 (*.f64 y y) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 y z)))
(*.f64 (/.f64 (*.f64 x (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (+.f64 (*.f64 y (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 z (+.f64 y z)) (*.f64 (*.f64 z (+.f64 y z)) (*.f64 z (+.f64 y z)))))) (+.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (*.f64 z (+.f64 y z)) (-.f64 (*.f64 z (+.f64 y z)) (*.f64 y y)))))
(*.f64 (/.f64 (*.f64 x (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (*.f64 (+.f64 (*.f64 y y) (*.f64 z (+.f64 y z))) (-.f64 (*.f64 y y) (*.f64 z (+.f64 y z))))) (-.f64 (*.f64 y y) (*.f64 z (+.f64 y z))))
(*.f64 (/.f64 (*.f64 x (-.f64 (*.f64 y y) (*.f64 z z))) (-.f64 (*.f64 y y) (*.f64 z z))) (-.f64 y z))
(*.f64 (/.f64 (*.f64 x (-.f64 (*.f64 y y) (*.f64 z z))) (+.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (+.f64 (*.f64 y y) (*.f64 z (-.f64 z y))))

simplify296.0ms (3.2%)

Algorithm
1×egg-herbie
Rules
3470×*-lowering-*.f32
3470×*-lowering-*.f64
2048×/-lowering-/.f32
2048×/-lowering-/.f64
1378×--lowering--.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02181824
17381726
220981590
377051588
082481588
Stop Event
1×iter limit
1×node limit
Counts
300 → 300
Calls
Call 1
Inputs
(* -1 (/ y z))
(* y (- (* -1 (/ y (pow z 2))) (/ 1 z)))
(* y (- (* y (- (* -1 (/ y (pow z 3))) (/ 1 (pow z 2)))) (/ 1 z)))
(* y (- (* y (- (* y (- (* -1 (/ y (pow z 4))) (/ 1 (pow z 3)))) (/ 1 (pow z 2)))) (/ 1 z)))
1
(+ 1 (/ z y))
(- (+ 1 (/ (pow z 2) (pow y 2))) (* -1 (/ z y)))
(- (+ 1 (/ (pow z 3) (pow y 3))) (+ (* -1 (/ z y)) (* -1 (/ (pow z 2) (pow y 2)))))
1
(+ 1 (/ z y))
(+ 1 (* -1 (/ (- (* -1 (/ (pow z 2) y)) z) y)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow z 3) y) (* -1 (pow z 2))) y)) z) y)))
1
(+ 1 (/ z y))
(+ 1 (* z (+ (/ 1 y) (/ z (pow y 2)))))
(+ 1 (* z (+ (* z (+ (/ 1 (pow y 2)) (/ z (pow y 3)))) (/ 1 y))))
(* -1 (/ y z))
(/ (+ (* -1 y) (* -1 (/ (pow y 2) z))) z)
(/ (- (+ (* -1 y) (* -1 (/ (pow y 3) (pow z 2)))) (/ (pow y 2) z)) z)
(/ (- (+ (* -1 y) (* -1 (/ (pow y 4) (pow z 3)))) (+ (/ (pow y 2) z) (/ (pow y 3) (pow z 2)))) z)
(* -1 (/ y z))
(* -1 (/ (+ y (/ (pow y 2) z)) z))
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (pow y 3) z)) (pow y 2)) z))) z))
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) z) (* -1 (pow y 3))) z)) (pow y 2)) z))) z))
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(* -1 (/ (* x z) y))
(/ (+ (* -1 (* x z)) (* x y)) y)
(/ (+ (* -1 (* x z)) (* x y)) y)
(/ (+ (* -1 (* x z)) (* x y)) y)
x
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
x
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
x
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(* -1 (/ (* x z) y))
(* z (+ (* -1 (/ x y)) (/ x z)))
(* z (+ (* -1 (/ x y)) (/ x z)))
(* z (+ (* -1 (/ x y)) (/ x z)))
(* -1 (/ (* x z) y))
(* -1 (* z (+ (* -1 (/ x z)) (/ x y))))
(* -1 (* z (+ (* -1 (/ x z)) (/ x y))))
(* -1 (* z (+ (* -1 (/ x z)) (/ x y))))
(/ -1 z)
(- (* -1 (/ y (pow z 2))) (/ 1 z))
(- (* y (- (* -1 (/ y (pow z 3))) (/ 1 (pow z 2)))) (/ 1 z))
(- (* y (- (* y (- (* -1 (/ y (pow z 4))) (/ 1 (pow z 3)))) (/ 1 (pow z 2)))) (/ 1 z))
(/ 1 y)
(/ (+ 1 (/ z y)) y)
(/ (- (+ 1 (/ (pow z 2) (pow y 2))) (* -1 (/ z y))) y)
(/ (- (+ 1 (/ (pow z 3) (pow y 3))) (+ (* -1 (/ z y)) (* -1 (/ (pow z 2) (pow y 2))))) y)
(/ 1 y)
(* -1 (/ (- (* -1 (/ z y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (/ (pow z 2) y) (* -1 z)) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow z 3) y)) (pow z 2)) y)) (* -1 z)) y)) 1) y))
(/ 1 y)
(+ (/ 1 y) (/ z (pow y 2)))
(+ (* z (+ (/ 1 (pow y 2)) (/ z (pow y 3)))) (/ 1 y))
(+ (* z (+ (* z (+ (/ 1 (pow y 3)) (/ z (pow y 4)))) (/ 1 (pow y 2)))) (/ 1 y))
(/ -1 z)
(/ (- (* -1 (/ y z)) 1) z)
(/ (- (* -1 (/ (pow y 2) (pow z 2))) (+ 1 (/ y z))) z)
(/ (- (* -1 (/ (pow y 3) (pow z 3))) (+ 1 (+ (/ y z) (/ (pow y 2) (pow z 2))))) z)
(/ -1 z)
(* -1 (/ (+ 1 (/ y z)) z))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) z)) y) z))) z))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) z) (* -1 (pow y 2))) z)) y) z))) z))
(* -1 z)
(- y z)
(- y z)
(- y z)
y
(* y (+ 1 (* -1 (/ z y))))
(* y (+ 1 (* -1 (/ z y))))
(* y (+ 1 (* -1 (/ z y))))
y
(* -1 (* y (- (/ z y) 1)))
(* -1 (* y (- (/ z y) 1)))
(* -1 (* y (- (/ z y) 1)))
y
(+ y (* -1 z))
(+ y (* -1 z))
(+ y (* -1 z))
(* -1 z)
(* z (- (/ y z) 1))
(* z (- (/ y z) 1))
(* z (- (/ y z) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(* -1 (* z (+ 1 (* -1 (/ y z)))))
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
(* 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 z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(* -1 (/ (* x z) y))
(/ (+ (* -1 (* x z)) (* x y)) y)
(/ (+ (* -1 (* x z)) (* x y)) y)
(/ (+ (* -1 (* x z)) (* x y)) y)
x
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
x
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
x
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(* -1 (/ (* x z) y))
(* z (+ (* -1 (/ x y)) (/ x z)))
(* z (+ (* -1 (/ x y)) (/ x z)))
(* z (+ (* -1 (/ x y)) (/ x z)))
(* -1 (/ (* x z) y))
(* -1 (* z (+ (* -1 (/ x z)) (/ x y))))
(* -1 (* z (+ (* -1 (/ x z)) (/ x y))))
(* -1 (* z (+ (* -1 (/ x z)) (/ 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)
(* -1 (/ (* x z) y))
(/ (+ (* -1 (* x z)) (* x y)) y)
(/ (+ (* -1 (* x z)) (* x y)) y)
(/ (+ (* -1 (* x z)) (* x y)) y)
x
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
x
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
x
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(* -1 (/ (* x z) y))
(* z (+ (* -1 (/ x y)) (/ x z)))
(* z (+ (* -1 (/ x y)) (/ x z)))
(* z (+ (* -1 (/ x y)) (/ x z)))
(* -1 (/ (* x z) y))
(* -1 (* z (+ (* -1 (/ x z)) (/ x y))))
(* -1 (* z (+ (* -1 (/ x z)) (/ x y))))
(* -1 (* z (+ (* -1 (/ x z)) (/ x y))))
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(* x (- y z))
(* x (- y z))
(* x (- y z))
(* x (- y z))
(* x (- y z))
(* x (- y z))
(* x (- y z))
(* x (- y z))
(* x (- y z))
(* x (- y z))
(* x (- y z))
(* x (- y z))
(* -1 (* x z))
(+ (* -1 (* x z)) (* x y))
(+ (* -1 (* x z)) (* x y))
(+ (* -1 (* x z)) (* x y))
(* x y)
(* y (+ x (* -1 (/ (* x z) y))))
(* y (+ x (* -1 (/ (* x z) y))))
(* y (+ x (* -1 (/ (* x z) y))))
(* x y)
(* -1 (* y (+ (* -1 x) (/ (* x z) y))))
(* -1 (* y (+ (* -1 x) (/ (* x z) y))))
(* -1 (* y (+ (* -1 x) (/ (* x z) y))))
(* x y)
(+ (* -1 (* x z)) (* x y))
(+ (* -1 (* x z)) (* x y))
(+ (* -1 (* x z)) (* x y))
(* -1 (* x z))
(* z (+ (* -1 x) (/ (* x y) z)))
(* z (+ (* -1 x) (/ (* x y) z)))
(* z (+ (* -1 x) (/ (* x y) z)))
(* -1 (* x z))
(* -1 (* z (+ x (* -1 (/ (* x y) z)))))
(* -1 (* z (+ x (* -1 (/ (* x y) z)))))
(* -1 (* z (+ x (* -1 (/ (* x y) z)))))
Outputs
(* -1 (/ y z))
(-.f64 #s(literal 0 binary64) (/.f64 y z))
(* y (- (* -1 (/ y (pow z 2))) (/ 1 z)))
(*.f64 y (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 y z)) z))
(* y (- (* y (- (* -1 (/ y (pow z 3))) (/ 1 (pow z 2)))) (/ 1 z)))
(*.f64 y (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 y z)) z))) z))
(* y (- (* y (- (* y (- (* -1 (/ y (pow z 4))) (/ 1 (pow z 3)))) (/ 1 (pow z 2)))) (/ 1 z)))
(*.f64 y (+.f64 (*.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) z) z) (/.f64 y (pow.f64 z #s(literal 4 binary64)))) (*.f64 y y)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 y z)) z)))
1
#s(literal 1 binary64)
(+ 1 (/ z y))
(+.f64 #s(literal 1 binary64) (/.f64 z y))
(- (+ 1 (/ (pow z 2) (pow y 2))) (* -1 (/ z y)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 z y))) y))
(- (+ 1 (/ (pow z 3) (pow y 3))) (+ (* -1 (/ z y)) (* -1 (/ (pow z 2) (pow y 2)))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 z (/.f64 (*.f64 z (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 z y)))) y)) y))
1
#s(literal 1 binary64)
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(+.f64 #s(literal 1 binary64) (/.f64 z y))
(+ 1 (* -1 (/ (- (* -1 (/ (pow z 2) y)) z) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 z y))) y))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow z 3) y) (* -1 (pow z 2))) y)) z) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 z (/.f64 (*.f64 z (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 z y)))) y)) y))
1
#s(literal 1 binary64)
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(+.f64 #s(literal 1 binary64) (/.f64 z y))
(+ 1 (* z (+ (/ 1 y) (/ z (pow y 2)))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 z y))) y))
(+ 1 (* z (+ (* z (+ (/ 1 (pow y 2)) (/ z (pow y 3)))) (/ 1 y))))
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(* -1 (/ y z))
(-.f64 #s(literal 0 binary64) (/.f64 y z))
(/ (+ (* -1 y) (* -1 (/ (pow y 2) z))) z)
(*.f64 y (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 y z)) z))
(/ (- (+ (* -1 y) (* -1 (/ (pow y 3) (pow z 2)))) (/ (pow y 2) z)) z)
(/.f64 (+.f64 y (*.f64 (/.f64 y z) (*.f64 y (+.f64 (/.f64 y z) #s(literal 1 binary64))))) (-.f64 #s(literal 0 binary64) z))
(/ (- (+ (* -1 y) (* -1 (/ (pow y 4) (pow z 3)))) (+ (/ (pow y 2) z) (/ (pow y 3) (pow z 2)))) z)
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(* -1 (/ y z))
(-.f64 #s(literal 0 binary64) (/.f64 y z))
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(*.f64 y (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 y z)) z))
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (pow y 3) z)) (pow y 2)) z))) z))
(/.f64 (+.f64 y (*.f64 (/.f64 y z) (*.f64 y (+.f64 (/.f64 y z) #s(literal 1 binary64))))) (-.f64 #s(literal 0 binary64) z))
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) z) (* -1 (pow y 3))) z)) (pow y 2)) z))) z))
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(/ (* x (- y z)) y)
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(/ (* x (- y z)) y)
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(/ (* x (- y z)) y)
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(/ (* x (- y z)) y)
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(/ (* x (- y z)) y)
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(/ (* x (- y z)) y)
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(/ (* x (- y z)) y)
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(/ (* x (- y z)) y)
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(/ (* x (- y z)) y)
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(/ (* x (- y z)) y)
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 z x) y))
(/ (+ (* -1 (* x z)) (* x y)) y)
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(/ (+ (* -1 (* x z)) (* x y)) y)
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(/ (+ (* -1 (* x z)) (* x y)) y)
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
x
(+ x (* -1 (/ (* x z) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
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x
(+ x (* -1 (/ (* x z) y)))
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x
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(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 z x) y))
(* z (+ (* -1 (/ x y)) (/ x z)))
(*.f64 z (-.f64 (/.f64 x z) (/.f64 x y)))
(* z (+ (* -1 (/ x y)) (/ x z)))
(*.f64 z (-.f64 (/.f64 x z) (/.f64 x y)))
(* z (+ (* -1 (/ x y)) (/ x z)))
(*.f64 z (-.f64 (/.f64 x z) (/.f64 x y)))
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 z x) y))
(* -1 (* z (+ (* -1 (/ x z)) (/ x y))))
(*.f64 z (-.f64 (/.f64 x z) (/.f64 x y)))
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(*.f64 z (-.f64 (/.f64 x z) (/.f64 x y)))
(* -1 (* z (+ (* -1 (/ x z)) (/ x y))))
(*.f64 z (-.f64 (/.f64 x z) (/.f64 x y)))
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(- (* -1 (/ y (pow z 2))) (/ 1 z))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 y z)) z)
(- (* y (- (* -1 (/ y (pow z 3))) (/ 1 (pow z 2)))) (/ 1 z))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 y z)) z))) z)
(- (* y (- (* y (- (* -1 (/ y (pow z 4))) (/ 1 (pow z 3)))) (/ 1 (pow z 2)))) (/ 1 z))
(+.f64 (*.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) z) z) (/.f64 y (pow.f64 z #s(literal 4 binary64)))) (*.f64 y y)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 y z)) z))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ (+ 1 (/ z y)) y)
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(/ (- (+ 1 (/ (pow z 2) (pow y 2))) (* -1 (/ z y))) y)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 z y))) y)) y)
(/ (- (+ 1 (/ (pow z 3) (pow y 3))) (+ (* -1 (/ z y)) (* -1 (/ (pow z 2) (pow y 2))))) y)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 z (/.f64 (*.f64 z (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 z y)))) y)) y)) y)
(/ 1 y)
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(* -1 (/ (- (* -1 (/ z y)) 1) y))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)) y)
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(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ (/ 1 y) (/ z (pow y 2)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)) y)
(+ (* z (+ (/ 1 (pow y 2)) (/ z (pow y 3)))) (/ 1 y))
(+.f64 (/.f64 (*.f64 z z) (*.f64 y (*.f64 y y))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)) y))
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(+.f64 (*.f64 (*.f64 z z) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (/.f64 z (pow.f64 y #s(literal 4 binary64))))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)) y))
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ (- (* -1 (/ y z)) 1) z)
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(/ (- (* -1 (/ (pow y 2) (pow z 2))) (+ 1 (/ y z))) z)
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 y z)) z))) z)
(/ (- (* -1 (/ (pow y 3) (pow z 3))) (+ 1 (+ (/ y z) (/ (pow y 2) (pow z 2))))) z)
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 y (*.f64 (/.f64 y z) (*.f64 y (+.f64 (/.f64 y z) #s(literal 1 binary64))))) z)) z))
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(* -1 (/ (+ 1 (/ y z)) z))
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(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) z)) y) z))) z))
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(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) z) (* -1 (pow y 2))) z)) y) z))) z))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 y (*.f64 (/.f64 y z) (*.f64 y (+.f64 (/.f64 y z) #s(literal 1 binary64))))) z)) z))
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(- y z)
(-.f64 y z)
(- y z)
(-.f64 y z)
(- y z)
(-.f64 y z)
y
(* y (+ 1 (* -1 (/ z y))))
(-.f64 y z)
(* y (+ 1 (* -1 (/ z y))))
(-.f64 y z)
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(-.f64 y z)
y
(* -1 (* y (- (/ z y) 1)))
(-.f64 y z)
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(-.f64 y z)
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(-.f64 y z)
y
(+ y (* -1 z))
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(-.f64 y z)
(* -1 z)
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(* z (- (/ y z) 1))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 y z)))
(* -1 z)
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(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 y z)))
x
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(* x y)
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(/ (* x (- y z)) y)
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x
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(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 z x) y))
(* z (+ (* -1 (/ x y)) (/ x z)))
(*.f64 z (-.f64 (/.f64 x z) (/.f64 x y)))
(* z (+ (* -1 (/ x y)) (/ x z)))
(*.f64 z (-.f64 (/.f64 x z) (/.f64 x y)))
(* z (+ (* -1 (/ x y)) (/ x z)))
(*.f64 z (-.f64 (/.f64 x z) (/.f64 x y)))
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 z x) y))
(* -1 (* z (+ (* -1 (/ x z)) (/ x y))))
(*.f64 z (-.f64 (/.f64 x z) (/.f64 x y)))
(* -1 (* z (+ (* -1 (/ x z)) (/ x y))))
(*.f64 z (-.f64 (/.f64 x z) (/.f64 x y)))
(* -1 (* z (+ (* -1 (/ x z)) (/ x y))))
(*.f64 z (-.f64 (/.f64 x z) (/.f64 x y)))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 z x) y))
(/ (+ (* -1 (* x z)) (* x y)) y)
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(/ (+ (* -1 (* x z)) (* x y)) y)
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(/ (+ (* -1 (* x z)) (* x y)) y)
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
x
(+ x (* -1 (/ (* x z) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(+ x (* -1 (/ (* x z) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(+ x (* -1 (/ (* x z) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
x
(+ x (* -1 (/ (* x z) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(+ x (* -1 (/ (* x z) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(+ x (* -1 (/ (* x z) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(/ (* x (- y z)) y)
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(/ (* x (- y z)) y)
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(/ (* x (- y z)) y)
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(/ (* x (- y z)) y)
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(/ (* x (- y z)) y)
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(/ (* x (- y z)) y)
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(/ (* x (- y z)) y)
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(/ (* x (- y z)) y)
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(/ (* x (- y z)) y)
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(/ (* x (- y z)) y)
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(/ (* x (- y z)) y)
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(/ (* x (- y z)) y)
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
x
(+ x (* -1 (/ (* x z) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(+ x (* -1 (/ (* x z) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(+ x (* -1 (/ (* x z) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 z x) y))
(* z (+ (* -1 (/ x y)) (/ x z)))
(*.f64 z (-.f64 (/.f64 x z) (/.f64 x y)))
(* z (+ (* -1 (/ x y)) (/ x z)))
(*.f64 z (-.f64 (/.f64 x z) (/.f64 x y)))
(* z (+ (* -1 (/ x y)) (/ x z)))
(*.f64 z (-.f64 (/.f64 x z) (/.f64 x y)))
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 z x) y))
(* -1 (* z (+ (* -1 (/ x z)) (/ x y))))
(*.f64 z (-.f64 (/.f64 x z) (/.f64 x y)))
(* -1 (* z (+ (* -1 (/ x z)) (/ x y))))
(*.f64 z (-.f64 (/.f64 x z) (/.f64 x y)))
(* -1 (* z (+ (* -1 (/ x z)) (/ x y))))
(*.f64 z (-.f64 (/.f64 x z) (/.f64 x y)))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(* x (- y z))
(*.f64 x (-.f64 y z))
(* x (- y z))
(*.f64 x (-.f64 y z))
(* x (- y z))
(*.f64 x (-.f64 y z))
(* x (- y z))
(*.f64 x (-.f64 y z))
(* x (- y z))
(*.f64 x (-.f64 y z))
(* x (- y z))
(*.f64 x (-.f64 y z))
(* x (- y z))
(*.f64 x (-.f64 y z))
(* x (- y z))
(*.f64 x (-.f64 y z))
(* x (- y z))
(*.f64 x (-.f64 y z))
(* x (- y z))
(*.f64 x (-.f64 y z))
(* x (- y z))
(*.f64 x (-.f64 y z))
(* x (- y z))
(*.f64 x (-.f64 y z))
(* -1 (* x z))
(*.f64 z (-.f64 #s(literal 0 binary64) x))
(+ (* -1 (* x z)) (* x y))
(*.f64 x (-.f64 y z))
(+ (* -1 (* x z)) (* x y))
(*.f64 x (-.f64 y z))
(+ (* -1 (* x z)) (* x y))
(*.f64 x (-.f64 y z))
(* x y)
(*.f64 y x)
(* y (+ x (* -1 (/ (* x z) y))))
(*.f64 x (-.f64 y z))
(* y (+ x (* -1 (/ (* x z) y))))
(*.f64 x (-.f64 y z))
(* y (+ x (* -1 (/ (* x z) y))))
(*.f64 x (-.f64 y z))
(* x y)
(*.f64 y x)
(* -1 (* y (+ (* -1 x) (/ (* x z) y))))
(*.f64 x (-.f64 y z))
(* -1 (* y (+ (* -1 x) (/ (* x z) y))))
(*.f64 x (-.f64 y z))
(* -1 (* y (+ (* -1 x) (/ (* x z) y))))
(*.f64 x (-.f64 y z))
(* x y)
(*.f64 y x)
(+ (* -1 (* x z)) (* x y))
(*.f64 x (-.f64 y z))
(+ (* -1 (* x z)) (* x y))
(*.f64 x (-.f64 y z))
(+ (* -1 (* x z)) (* x y))
(*.f64 x (-.f64 y z))
(* -1 (* x z))
(*.f64 z (-.f64 #s(literal 0 binary64) x))
(* z (+ (* -1 x) (/ (* x y) z)))
(*.f64 (*.f64 z x) (+.f64 #s(literal -1 binary64) (/.f64 y z)))
(* z (+ (* -1 x) (/ (* x y) z)))
(*.f64 (*.f64 z x) (+.f64 #s(literal -1 binary64) (/.f64 y z)))
(* z (+ (* -1 x) (/ (* x y) z)))
(*.f64 (*.f64 z x) (+.f64 #s(literal -1 binary64) (/.f64 y z)))
(* -1 (* x z))
(*.f64 z (-.f64 #s(literal 0 binary64) x))
(* -1 (* z (+ x (* -1 (/ (* x y) z)))))
(*.f64 (*.f64 z x) (+.f64 #s(literal -1 binary64) (/.f64 y z)))
(* -1 (* z (+ x (* -1 (/ (* x y) z)))))
(*.f64 (*.f64 z x) (+.f64 #s(literal -1 binary64) (/.f64 y z)))
(* -1 (* z (+ x (* -1 (/ (* x y) z)))))
(*.f64 (*.f64 z x) (+.f64 #s(literal -1 binary64) (/.f64 y z)))

eval569.0ms (6.1%)

Compiler

Compiled 35445 to 2580 computations (92.7% saved)

prune178.0ms (1.9%)

Pruning

11 alts after pruning (6 fresh and 5 done)

PrunedKeptTotal
New191961925
Fresh101
Picked235
Done022
Total1922111933
Accuracy
100.0%
Counts
1933 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓85.3%
(/.f64 (*.f64 x (-.f64 y z)) y)
✓37.6%
(/.f64 (*.f64 x y) y)
▶40.9%
(/.f64 y (/.f64 y x))
47.2%
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z y)))
▶49.4%
(/.f64 x (*.f64 (/.f64 #s(literal -1 binary64) z) y))
▶47.2%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
▶95.4%
(-.f64 x (/.f64 z (/.f64 y x)))
✓87.0%
(*.f64 (/.f64 x y) (-.f64 y z))
▶41.4%
(*.f64 (/.f64 x y) y)
✓96.1%
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
✓47.3%
x
Compiler

Compiled 150 to 99 computations (34% saved)

simplify176.0ms (1.9%)

Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal -1 binary64) z)
✓cost-diff0
(*.f64 (/.f64 #s(literal -1 binary64) z) y)
✓cost-diff0
(/.f64 x (*.f64 (/.f64 #s(literal -1 binary64) z) y))
✓cost-diff0
(/.f64 y x)
✓cost-diff256
(/.f64 y (/.f64 y x))
✓cost-diff0
(/.f64 #s(literal 1 binary64) x)
✓cost-diff256
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
✓cost-diff0
(/.f64 x y)
✓cost-diff256
(*.f64 (/.f64 x y) y)
✓cost-diff0
(/.f64 y x)
✓cost-diff0
(/.f64 z (/.f64 y x))
✓cost-diff0
(-.f64 x (/.f64 z (/.f64 y x)))
Rules
2952×*-lowering-*.f32
2952×*-lowering-*.f64
1436×/-lowering-/.f32
1436×/-lowering-/.f64
1200×fnmadd-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01654
13652
29251
339551
4197751
5373851
0820451
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(- x (/ z (/ y x)))
x
(/ z (/ y x))
z
(/ y x)
y
(* (/ x y) y)
(/ x y)
x
y
(/ 1 (/ 1 x))
1
(/ 1 x)
x
(/ y (/ y x))
y
(/ y x)
x
(/ x (* (/ -1 z) y))
x
(* (/ -1 z) y)
(/ -1 z)
-1
z
y
Outputs
(- x (/ z (/ y x)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
x
(/ z (/ y x))
(/.f64 x (/.f64 y z))
z
(/ y x)
(/.f64 y x)
y
(* (/ x y) y)
x
(/ x y)
(/.f64 x y)
x
y
(/ 1 (/ 1 x))
x
1
#s(literal 1 binary64)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
x
(/ y (/ y x))
x
y
(/ y x)
(/.f64 y x)
x
(/ x (* (/ -1 z) y))
(-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 y z)))
x
(* (/ -1 z) y)
(/.f64 (-.f64 #s(literal 0 binary64) y) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
-1
#s(literal -1 binary64)
z
y

localize222.0ms (2.4%)

Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 #s(literal -1 binary64) z)
✓accuracy99.7%
(*.f64 (/.f64 #s(literal -1 binary64) z) y)
✓accuracy92.5%
(/.f64 x (*.f64 (/.f64 #s(literal -1 binary64) z) y))
✓accuracy100.0%
(/.f64 y x)
✓accuracy80.2%
(/.f64 y (/.f64 y x))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
✓accuracy100.0%
(/.f64 x y)
✓accuracy79.3%
(*.f64 (/.f64 x y) y)
✓accuracy100.0%
(/.f64 y x)
✓accuracy100.0%
(-.f64 x (/.f64 z (/.f64 y x)))
✓accuracy93.8%
(/.f64 z (/.f64 y x))
Results
79.0ms256×0valid
Compiler

Compiled 71 to 17 computations (76.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-div: 16.0ms (74.7% of total)
ival-mult: 3.0ms (14% of total)
ival-sub: 1.0ms (4.7% of total)
const: 1.0ms (4.7% of total)
backward-pass: 0.0ms (0% of total)

series14.0ms (0.1%)

Counts
11 → 264
Calls
Call 1
Inputs
#<alt (- x (/ z (/ y x)))>
#<alt (/ z (/ y x))>
#<alt (/ y x)>
#<alt (* (/ x y) y)>
#<alt (/ x y)>
#<alt (/ 1 (/ 1 x))>
#<alt (/ 1 x)>
#<alt (/ y (/ y x))>
#<alt (/ x (* (/ -1 z) y))>
#<alt (* (/ -1 z) y)>
#<alt (/ -1 z)>
Outputs
#<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>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* z (- (/ x z) (/ x y)))>
#<alt (* z (- (/ x z) (/ x y)))>
#<alt (* z (- (/ x z) (/ x y)))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 (/ x y)))))>
#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 (/ x y)))))>
#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 (/ x y)))))>
#<alt (* -1 (/ (* x z) y))>
#<alt (/ (- (* x y) (* x z)) y)>
#<alt (/ (- (* x y) (* x z)) y)>
#<alt (/ (- (* x y) (* x z)) y)>
#<alt x>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt x>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt (+ x (* -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 (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<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 (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
Calls

66 calls:

TimeVariablePointExpression
3.0ms
z
@0
(- x (/ z (/ y x)))
2.0ms
z
@-inf
(/ z (/ y x))
0.0ms
y
@0
(* (/ -1 z) y)
0.0ms
x
@0
(- x (/ z (/ y x)))
0.0ms
x
@-inf
(- x (/ z (/ y x)))

rewrite520.0ms (5.6%)

Algorithm
1×batch-egg-rewrite
Rules
4670×*-lowering-*.f32
4670×*-lowering-*.f64
4566×/-lowering-/.f32
4566×/-lowering-/.f64
2272×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01650
19136
279035
0837635
Stop Event
1×iter limit
1×node limit
Counts
11 → 1039
Calls
Call 1
Inputs
(- x (/ z (/ y x)))
(/ z (/ y x))
(/ y x)
(* (/ x y) y)
(/ x y)
(/ 1 (/ 1 x))
(/ 1 x)
(/ y (/ y x))
(/ x (* (/ -1 z) y))
(* (/ -1 z) y)
(/ -1 z)
Outputs
(+.f64 x (/.f64 x (/.f64 (-.f64 #s(literal 0 binary64) y) z)))
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y))) (+.f64 (*.f64 (neg.f64 (/.f64 x y)) z) (/.f64 z (/.f64 y x))))
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y))) (+.f64 (/.f64 x (/.f64 (-.f64 #s(literal 0 binary64) y) z)) (/.f64 z (/.f64 y x))))
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y))) (fma.f64 (neg.f64 (/.f64 z y)) x (/.f64 z (/.f64 y x))))
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y))) (fma.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 x y) (/.f64 z (/.f64 y x))))
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y))) (fma.f64 (/.f64 x (/.f64 (-.f64 #s(literal 0 binary64) y) z)) #s(literal 1 binary64) (/.f64 z (/.f64 y x))))
(+.f64 (/.f64 x (/.f64 (-.f64 #s(literal 0 binary64) y) z)) x)
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 y x)) (-.f64 #s(literal 0 binary64) z)))) (fma.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y x))) (-.f64 #s(literal 0 binary64) z) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 y x)) (-.f64 #s(literal 0 binary64) z))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 x y) (/.f64 z #s(literal 1 binary64))))) (fma.f64 (neg.f64 (/.f64 x y)) (/.f64 z #s(literal 1 binary64)) (*.f64 (/.f64 x y) (/.f64 z #s(literal 1 binary64)))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 z x)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 z x) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 z x))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 x (*.f64 (/.f64 z y) #s(literal 1 binary64))))) (fma.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (/.f64 z y) #s(literal 1 binary64)) (*.f64 x (*.f64 (/.f64 z y) #s(literal 1 binary64)))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 z (-.f64 #s(literal 0 binary64) y))))) (fma.f64 x (/.f64 z (-.f64 #s(literal 0 binary64) y)) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 z (-.f64 #s(literal 0 binary64) y)))))
(+.f64 (fma.f64 y (/.f64 x y) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 y x)) (-.f64 #s(literal 0 binary64) z)))) (fma.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y x))) (-.f64 #s(literal 0 binary64) z) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 y x)) (-.f64 #s(literal 0 binary64) z))))
(+.f64 (fma.f64 y (/.f64 x y) (neg.f64 (*.f64 (/.f64 x y) (/.f64 z #s(literal 1 binary64))))) (fma.f64 (neg.f64 (/.f64 x y)) (/.f64 z #s(literal 1 binary64)) (*.f64 (/.f64 x y) (/.f64 z #s(literal 1 binary64)))))
(+.f64 (fma.f64 y (/.f64 x y) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 z x)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 z x) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 z x))))
(+.f64 (fma.f64 y (/.f64 x y) (neg.f64 (*.f64 x (*.f64 (/.f64 z y) #s(literal 1 binary64))))) (fma.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (/.f64 z y) #s(literal 1 binary64)) (*.f64 x (*.f64 (/.f64 z y) #s(literal 1 binary64)))))
(+.f64 (fma.f64 y (/.f64 x y) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 z (-.f64 #s(literal 0 binary64) y))))) (fma.f64 x (/.f64 z (-.f64 #s(literal 0 binary64) y)) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 z (-.f64 #s(literal 0 binary64) y)))))
(+.f64 (fma.f64 (/.f64 x y) y (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 y x)) (-.f64 #s(literal 0 binary64) z)))) (fma.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y x))) (-.f64 #s(literal 0 binary64) z) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 y x)) (-.f64 #s(literal 0 binary64) z))))
(+.f64 (fma.f64 (/.f64 x y) y (neg.f64 (*.f64 (/.f64 x y) (/.f64 z #s(literal 1 binary64))))) (fma.f64 (neg.f64 (/.f64 x y)) (/.f64 z #s(literal 1 binary64)) (*.f64 (/.f64 x y) (/.f64 z #s(literal 1 binary64)))))
(+.f64 (fma.f64 (/.f64 x y) y (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 z x)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 z x) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 z x))))
(+.f64 (fma.f64 (/.f64 x y) y (neg.f64 (*.f64 x (*.f64 (/.f64 z y) #s(literal 1 binary64))))) (fma.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (/.f64 z y) #s(literal 1 binary64)) (*.f64 x (*.f64 (/.f64 z y) #s(literal 1 binary64)))))
(+.f64 (fma.f64 (/.f64 x y) y (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 z (-.f64 #s(literal 0 binary64) y))))) (fma.f64 x (/.f64 z (-.f64 #s(literal 0 binary64) y)) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 z (-.f64 #s(literal 0 binary64) y)))))
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 y x)) (-.f64 #s(literal 0 binary64) z)))) (fma.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y x))) (-.f64 #s(literal 0 binary64) z) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 y x)) (-.f64 #s(literal 0 binary64) z))))
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 (/.f64 x y) (/.f64 z #s(literal 1 binary64))))) (fma.f64 (neg.f64 (/.f64 x y)) (/.f64 z #s(literal 1 binary64)) (*.f64 (/.f64 x y) (/.f64 z #s(literal 1 binary64)))))
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 z x)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 z x) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 z x))))
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 x (*.f64 (/.f64 z y) #s(literal 1 binary64))))) (fma.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (/.f64 z y) #s(literal 1 binary64)) (*.f64 x (*.f64 (/.f64 z y) #s(literal 1 binary64)))))
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 z (-.f64 #s(literal 0 binary64) y))))) (fma.f64 x (/.f64 z (-.f64 #s(literal 0 binary64) y)) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 z (-.f64 #s(literal 0 binary64) y)))))
(+.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 y x)) (-.f64 #s(literal 0 binary64) z)))) (fma.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y x))) (-.f64 #s(literal 0 binary64) z) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 y x)) (-.f64 #s(literal 0 binary64) z))))
(+.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x) (neg.f64 (*.f64 (/.f64 x y) (/.f64 z #s(literal 1 binary64))))) (fma.f64 (neg.f64 (/.f64 x y)) (/.f64 z #s(literal 1 binary64)) (*.f64 (/.f64 x y) (/.f64 z #s(literal 1 binary64)))))
(+.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 z x)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 z x) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 z x))))
(+.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x) (neg.f64 (*.f64 x (*.f64 (/.f64 z y) #s(literal 1 binary64))))) (fma.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (/.f64 z y) #s(literal 1 binary64)) (*.f64 x (*.f64 (/.f64 z y) #s(literal 1 binary64)))))
(+.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 z (-.f64 #s(literal 0 binary64) y))))) (fma.f64 x (/.f64 z (-.f64 #s(literal 0 binary64) y)) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 z (-.f64 #s(literal 0 binary64) y)))))
(+.f64 (fma.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal -1 binary64) (/.f64 y x)) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 y x)) (-.f64 #s(literal 0 binary64) z)))) (fma.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y x))) (-.f64 #s(literal 0 binary64) z) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 y x)) (-.f64 #s(literal 0 binary64) z))))
(+.f64 (fma.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal -1 binary64) (/.f64 y x)) (neg.f64 (*.f64 (/.f64 x y) (/.f64 z #s(literal 1 binary64))))) (fma.f64 (neg.f64 (/.f64 x y)) (/.f64 z #s(literal 1 binary64)) (*.f64 (/.f64 x y) (/.f64 z #s(literal 1 binary64)))))
(+.f64 (fma.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal -1 binary64) (/.f64 y x)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 z x)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 z x) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 z x))))
(+.f64 (fma.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal -1 binary64) (/.f64 y x)) (neg.f64 (*.f64 x (*.f64 (/.f64 z y) #s(literal 1 binary64))))) (fma.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (/.f64 z y) #s(literal 1 binary64)) (*.f64 x (*.f64 (/.f64 z y) #s(literal 1 binary64)))))
(+.f64 (fma.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal -1 binary64) (/.f64 y x)) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 z (-.f64 #s(literal 0 binary64) y))))) (fma.f64 x (/.f64 z (-.f64 #s(literal 0 binary64) y)) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 z (-.f64 #s(literal 0 binary64) y)))))
(+.f64 (fma.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) y) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 y x)) (-.f64 #s(literal 0 binary64) z)))) (fma.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y x))) (-.f64 #s(literal 0 binary64) z) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 y x)) (-.f64 #s(literal 0 binary64) z))))
(+.f64 (fma.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) y) (neg.f64 (*.f64 (/.f64 x y) (/.f64 z #s(literal 1 binary64))))) (fma.f64 (neg.f64 (/.f64 x y)) (/.f64 z #s(literal 1 binary64)) (*.f64 (/.f64 x y) (/.f64 z #s(literal 1 binary64)))))
(+.f64 (fma.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) y) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 z x)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 z x) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 z x))))
(+.f64 (fma.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) y) (neg.f64 (*.f64 x (*.f64 (/.f64 z y) #s(literal 1 binary64))))) (fma.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (/.f64 z y) #s(literal 1 binary64)) (*.f64 x (*.f64 (/.f64 z y) #s(literal 1 binary64)))))
(+.f64 (fma.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) y) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 z (-.f64 #s(literal 0 binary64) y))))) (fma.f64 x (/.f64 z (-.f64 #s(literal 0 binary64) y)) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 z (-.f64 #s(literal 0 binary64) y)))))
(+.f64 (fma.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 x y) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 y x)) (-.f64 #s(literal 0 binary64) z)))) (fma.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y x))) (-.f64 #s(literal 0 binary64) z) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 y x)) (-.f64 #s(literal 0 binary64) z))))
(+.f64 (fma.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 x y) (neg.f64 (*.f64 (/.f64 x y) (/.f64 z #s(literal 1 binary64))))) (fma.f64 (neg.f64 (/.f64 x y)) (/.f64 z #s(literal 1 binary64)) (*.f64 (/.f64 x y) (/.f64 z #s(literal 1 binary64)))))
(+.f64 (fma.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 x y) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 z x)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 z x) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 z x))))
(+.f64 (fma.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 x y) (neg.f64 (*.f64 x (*.f64 (/.f64 z y) #s(literal 1 binary64))))) (fma.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (/.f64 z y) #s(literal 1 binary64)) (*.f64 x (*.f64 (/.f64 z y) #s(literal 1 binary64)))))
(+.f64 (fma.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 x y) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 z (-.f64 #s(literal 0 binary64) y))))) (fma.f64 x (/.f64 z (-.f64 #s(literal 0 binary64) y)) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 z (-.f64 #s(literal 0 binary64) y)))))
(+.f64 (fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 y x)) (-.f64 #s(literal 0 binary64) z)))) (fma.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y x))) (-.f64 #s(literal 0 binary64) z) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 y x)) (-.f64 #s(literal 0 binary64) z))))
(+.f64 (fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (neg.f64 (*.f64 (/.f64 x y) (/.f64 z #s(literal 1 binary64))))) (fma.f64 (neg.f64 (/.f64 x y)) (/.f64 z #s(literal 1 binary64)) (*.f64 (/.f64 x y) (/.f64 z #s(literal 1 binary64)))))
(+.f64 (fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 z x)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 z x) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 z x))))
(+.f64 (fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (neg.f64 (*.f64 x (*.f64 (/.f64 z y) #s(literal 1 binary64))))) (fma.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (/.f64 z y) #s(literal 1 binary64)) (*.f64 x (*.f64 (/.f64 z y) #s(literal 1 binary64)))))
(+.f64 (fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 z (-.f64 #s(literal 0 binary64) y))))) (fma.f64 x (/.f64 z (-.f64 #s(literal 0 binary64) y)) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 z (-.f64 #s(literal 0 binary64) y)))))
(+.f64 (fma.f64 (/.f64 y (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) x) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 y x)) (-.f64 #s(literal 0 binary64) z)))) (fma.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y x))) (-.f64 #s(literal 0 binary64) z) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 y x)) (-.f64 #s(literal 0 binary64) z))))
(+.f64 (fma.f64 (/.f64 y (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) x) (neg.f64 (*.f64 (/.f64 x y) (/.f64 z #s(literal 1 binary64))))) (fma.f64 (neg.f64 (/.f64 x y)) (/.f64 z #s(literal 1 binary64)) (*.f64 (/.f64 x y) (/.f64 z #s(literal 1 binary64)))))
(+.f64 (fma.f64 (/.f64 y (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) x) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 z x)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 z x) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 z x))))
(+.f64 (fma.f64 (/.f64 y (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) x) (neg.f64 (*.f64 x (*.f64 (/.f64 z y) #s(literal 1 binary64))))) (fma.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (/.f64 z y) #s(literal 1 binary64)) (*.f64 x (*.f64 (/.f64 z y) #s(literal 1 binary64)))))
(+.f64 (fma.f64 (/.f64 y (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) x) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 z (-.f64 #s(literal 0 binary64) y))))) (fma.f64 x (/.f64 z (-.f64 #s(literal 0 binary64) y)) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 z (-.f64 #s(literal 0 binary64) y)))))
(-.f64 x (/.f64 z (/.f64 y x)))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 (/.f64 z (/.f64 y x)) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z y)))))) (/.f64 (/.f64 (*.f64 z (*.f64 z z)) (*.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x)))) (+.f64 (*.f64 x x) (*.f64 (/.f64 z (/.f64 y x)) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z y)))))))
(-.f64 (/.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z y)))) (/.f64 (/.f64 (/.f64 z (/.f64 y x)) (/.f64 (/.f64 y x) z)) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z y)))))
(-.f64 (/.f64 (/.f64 y x) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) z) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))))
(-.f64 (/.f64 (/.f64 (/.f64 y x) z) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 y x) z))) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 y x) z))))
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(/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 #s(literal 0 binary64) y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z (-.f64 #s(literal 0 binary64) y))))
(/.f64 (-.f64 #s(literal 0 binary64) y) z)
(/.f64 (-.f64 #s(literal 0 binary64) y) (neg.f64 (-.f64 #s(literal 0 binary64) z)))
(/.f64 (-.f64 #s(literal 0 binary64) y) (neg.f64 (/.f64 z #s(literal -1 binary64))))
(/.f64 (*.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) z))
(/.f64 (*.f64 y #s(literal 1 binary64)) (/.f64 z #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) z))
(/.f64 (*.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) z))
(/.f64 (*.f64 #s(literal 1 binary64) y) (/.f64 z #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 y #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) z)))
(/.f64 (neg.f64 (*.f64 y #s(literal 1 binary64))) (neg.f64 (/.f64 z #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) y))) (neg.f64 (-.f64 #s(literal 0 binary64) z)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) y)) (neg.f64 (-.f64 #s(literal 0 binary64) z)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) y)) (neg.f64 (/.f64 z #s(literal -1 binary64))))
(pow.f64 (/.f64 z (-.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64))
(*.f64 y (/.f64 #s(literal -1 binary64) z))
(*.f64 #s(literal -1 binary64) (/.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) z) y))
(*.f64 (/.f64 #s(literal -1 binary64) z) y)
(*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 y z) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 0 binary64) z)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 z #s(literal -1 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 z #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) z))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 z #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) z)
(/.f64 #s(literal -1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) z)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 z #s(literal -1 binary64)) #s(literal 1 binary64))))
(pow.f64 (-.f64 #s(literal 0 binary64) z) #s(literal -1 binary64))
(pow.f64 (/.f64 z #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))

simplify204.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
2310×fnmsub-define
1934×fmm-def
1870×fma-lowering-fma.f32
1870×fma-lowering-fma.f64
1628×*-lowering-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032987
194957
2211957
3553957
42159957
57374957
08516957
Stop Event
1×iter limit
1×node limit
Counts
264 → 264
Calls
Call 1
Inputs
(* 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
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(* -1 (/ (* x z) y))
(* z (- (/ x z) (/ x y)))
(* z (- (/ x z) (/ x y)))
(* z (- (/ x z) (/ x y)))
(* -1 (/ (* x z) y))
(* -1 (* z (- (* -1 (/ x z)) (* -1 (/ x y)))))
(* -1 (* z (- (* -1 (/ x z)) (* -1 (/ x y)))))
(* -1 (* z (- (* -1 (/ x z)) (* -1 (/ x y)))))
(* -1 (/ (* x z) y))
(/ (- (* x y) (* x z)) y)
(/ (- (* x y) (* x z)) y)
(/ (- (* x y) (* x z)) y)
x
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
x
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(+ x (* -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)
(/ 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)
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(/ y x)
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(/ x y)
(/ x y)
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(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
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(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
x
x
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x
x
x
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
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(* -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))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(/ -1 z)
(/ -1 z)
(/ -1 z)
(/ -1 z)
(/ -1 z)
(/ -1 z)
(/ -1 z)
(/ -1 z)
(/ -1 z)
(/ -1 z)
(/ -1 z)
(/ -1 z)
Outputs
(* x (- 1 (/ z y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(* x (- 1 (/ z y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(* x (- 1 (/ z y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(* x (- 1 (/ z y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(* x (- 1 (/ z y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(* x (- 1 (/ z y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(* x (- 1 (/ z y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(* x (- 1 (/ z y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(* x (+ 1 (* -1 (/ z y))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(* x (+ 1 (* -1 (/ z y))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(* x (+ 1 (* -1 (/ z y))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(* x (+ 1 (* -1 (/ z y))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
x
(+ x (* -1 (/ (* x z) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(+ x (* -1 (/ (* x z) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(+ x (* -1 (/ (* x z) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(* -1 (/ (* x z) y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x z)) y)
(* z (- (/ x z) (/ x y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(* z (- (/ x z) (/ x y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(* z (- (/ x z) (/ x y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(* -1 (/ (* x z) y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x z)) y)
(* -1 (* z (- (* -1 (/ x z)) (* -1 (/ x y)))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(* -1 (* z (- (* -1 (/ x z)) (* -1 (/ x y)))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(* -1 (* z (- (* -1 (/ x z)) (* -1 (/ x y)))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(* -1 (/ (* x z) y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x z)) y)
(/ (- (* x y) (* x z)) y)
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(/ (- (* x y) (* x z)) y)
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(/ (- (* x y) (* x z)) y)
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
x
(+ x (* -1 (/ (* x z) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(+ x (* -1 (/ (* x z) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(+ x (* -1 (/ (* x z) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
x
(+ x (* -1 (/ (* x z) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(+ x (* -1 (/ (* x z) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(+ x (* -1 (/ (* x z) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 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)
(/ (* x z) y)
(/.f64 (*.f64 x z) y)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
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(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
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(/ x y)
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(/ x y)
(/.f64 x y)
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(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
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(* -1 (/ (* x z) y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x z)) y)
(* -1 (/ (* x z) y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x z)) y)
(* -1 (/ (* x z) y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x z)) y)
(* -1 (/ (* x z) y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x z)) y)
(* -1 (/ (* x z) y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x z)) y)
(* -1 (/ (* x z) y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x z)) y)
(* -1 (/ (* x z) y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x z)) y)
(* -1 (/ (* x z) y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x z)) y)
(* -1 (/ (* x z) y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x z)) y)
(* -1 (/ (* x z) y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x z)) y)
(* -1 (/ (* x z) y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x z)) y)
(* -1 (/ (* x z) y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x z)) y)
(* -1 (/ (* x z) y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x z)) y)
(* -1 (/ (* x z) y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x z)) y)
(* -1 (/ (* x z) y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x z)) y)
(* -1 (/ (* x z) y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x z)) y)
(* -1 (/ (* x z) y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x z)) y)
(* -1 (/ (* x z) y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x z)) y)
(* -1 (/ (* x z) y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x z)) y)
(* -1 (/ (* x z) y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x z)) y)
(* -1 (/ (* x z) y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x z)) y)
(* -1 (/ (* x z) y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x z)) y)
(* -1 (/ (* x z) y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x z)) y)
(* -1 (/ (* x z) y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x z)) y)
(* -1 (/ (* x z) y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x z)) y)
(* -1 (/ (* x z) y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x z)) y)
(* -1 (/ (* x z) y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x z)) y)
(* -1 (/ (* x z) y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x z)) y)
(* -1 (/ (* x z) y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x z)) y)
(* -1 (/ (* x z) y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x z)) y)
(* -1 (/ (* x z) y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x z)) y)
(* -1 (/ (* x z) y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x z)) y)
(* -1 (/ (* x z) y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x z)) y)
(* -1 (/ (* x z) y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x z)) y)
(* -1 (/ (* x z) y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x z)) y)
(* -1 (/ (* x z) y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x z)) y)
(* -1 (/ y z))
(/.f64 y (-.f64 #s(literal 0 binary64) z))
(* -1 (/ y z))
(/.f64 y (-.f64 #s(literal 0 binary64) z))
(* -1 (/ y z))
(/.f64 y (-.f64 #s(literal 0 binary64) z))
(* -1 (/ y z))
(/.f64 y (-.f64 #s(literal 0 binary64) z))
(* -1 (/ y z))
(/.f64 y (-.f64 #s(literal 0 binary64) z))
(* -1 (/ y z))
(/.f64 y (-.f64 #s(literal 0 binary64) z))
(* -1 (/ y z))
(/.f64 y (-.f64 #s(literal 0 binary64) z))
(* -1 (/ y z))
(/.f64 y (-.f64 #s(literal 0 binary64) z))
(* -1 (/ y z))
(/.f64 y (-.f64 #s(literal 0 binary64) z))
(* -1 (/ y z))
(/.f64 y (-.f64 #s(literal 0 binary64) z))
(* -1 (/ y z))
(/.f64 y (-.f64 #s(literal 0 binary64) z))
(* -1 (/ y z))
(/.f64 y (-.f64 #s(literal 0 binary64) z))
(* -1 (/ y z))
(/.f64 y (-.f64 #s(literal 0 binary64) z))
(* -1 (/ y z))
(/.f64 y (-.f64 #s(literal 0 binary64) z))
(* -1 (/ y z))
(/.f64 y (-.f64 #s(literal 0 binary64) z))
(* -1 (/ y z))
(/.f64 y (-.f64 #s(literal 0 binary64) z))
(* -1 (/ y z))
(/.f64 y (-.f64 #s(literal 0 binary64) z))
(* -1 (/ y z))
(/.f64 y (-.f64 #s(literal 0 binary64) z))
(* -1 (/ y z))
(/.f64 y (-.f64 #s(literal 0 binary64) z))
(* -1 (/ y z))
(/.f64 y (-.f64 #s(literal 0 binary64) z))
(* -1 (/ y z))
(/.f64 y (-.f64 #s(literal 0 binary64) z))
(* -1 (/ y z))
(/.f64 y (-.f64 #s(literal 0 binary64) z))
(* -1 (/ y z))
(/.f64 y (-.f64 #s(literal 0 binary64) z))
(* -1 (/ y z))
(/.f64 y (-.f64 #s(literal 0 binary64) z))
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)

eval305.0ms (3.3%)

Compiler

Compiled 18709 to 2342 computations (87.5% saved)

prune295.0ms (3.2%)

Pruning

13 alts after pruning (6 fresh and 7 done)

PrunedKeptTotal
New136661372
Fresh101
Picked145
Done235
Total1370131383
Accuracy
100.0%
Counts
1383 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.6%
(/.f64 (-.f64 (*.f64 (*.f64 x y) y) (*.f64 y (*.f64 z x))) (*.f64 y y))
✓85.3%
(/.f64 (*.f64 x (-.f64 y z)) y)
✓37.6%
(/.f64 (*.f64 x y) y)
✓40.9%
(/.f64 y (/.f64 y x))
✓49.4%
(/.f64 x (*.f64 (/.f64 #s(literal -1 binary64) z) y))
▶49.4%
(/.f64 x (neg.f64 (/.f64 y z)))
✓47.2%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
▶96.2%
(-.f64 x (*.f64 (/.f64 z y) x))
✓41.4%
(*.f64 (/.f64 x y) y)
▶49.1%
(*.f64 (neg.f64 (/.f64 z y)) x)
▶50.3%
(*.f64 z (neg.f64 (/.f64 x y)))
▶50.3%
(neg.f64 (/.f64 z (/.f64 y x)))
✓47.3%
x
Compiler

Compiled 184 to 117 computations (36.4% saved)

simplify144.0ms (1.5%)

Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓cost-diff-64
(neg.f64 (/.f64 y z))
✓cost-diff0
(/.f64 y z)
✓cost-diff0
(/.f64 x (neg.f64 (/.f64 y z)))
✓cost-diff-64
(neg.f64 (/.f64 z y))
✓cost-diff0
(/.f64 z y)
✓cost-diff0
(*.f64 (neg.f64 (/.f64 z y)) x)
✓cost-diff-64
(neg.f64 (/.f64 x y))
✓cost-diff0
(/.f64 x y)
✓cost-diff0
(*.f64 z (neg.f64 (/.f64 x y)))
✓cost-diff-64
(neg.f64 (/.f64 z (/.f64 y x)))
✓cost-diff0
(/.f64 y x)
✓cost-diff0
(/.f64 z (/.f64 y x))
✓cost-diff0
(/.f64 z y)
✓cost-diff0
(*.f64 (/.f64 z y) x)
✓cost-diff0
(-.f64 x (*.f64 (/.f64 z y) x))
Rules
1810×fma-define
1762×fnmadd-define
1494×fmsub-define
1322×sum3-define
1294×fmm-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01783
15283
211282
319782
439182
599582
6132182
7218582
8447882
9513182
10564082
11624282
12715282
13721182
14721982
15721982
0721982
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(- x (* (/ z y) x))
x
(* (/ z y) x)
(/ z y)
z
y
(neg (/ z (/ y x)))
(/ z (/ y x))
z
(/ y x)
y
x
(* z (neg (/ x y)))
z
(neg (/ x y))
(/ x y)
x
y
(* (neg (/ z y)) x)
(neg (/ z y))
(/ z y)
z
y
x
(/ x (neg (/ y z)))
x
(neg (/ y z))
(/ y z)
y
z
Outputs
(- x (* (/ z y) x))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
x
(* (/ z y) x)
(/.f64 (*.f64 x z) y)
(/ z y)
(/.f64 z y)
z
y
(neg (/ z (/ y x)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(/ z (/ y x))
(/.f64 (*.f64 x z) y)
z
(/ y x)
(/.f64 y x)
y
x
(* z (neg (/ x y)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
z
(neg (/ x y))
(-.f64 #s(literal 0 binary64) (/.f64 x y))
(/ x y)
(/.f64 x y)
x
y
(* (neg (/ z y)) x)
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(neg (/ z y))
(-.f64 #s(literal 0 binary64) (/.f64 z y))
(/ z y)
(/.f64 z y)
z
y
x
(/ x (neg (/ y z)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
x
(neg (/ y z))
(-.f64 #s(literal 0 binary64) (/.f64 y z))
(/ y z)
(/.f64 y z)
y
z

localize272.0ms (2.9%)

Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 y z)
✓accuracy100.0%
(neg.f64 (/.f64 y z))
✓accuracy92.5%
(/.f64 x (neg.f64 (/.f64 y z)))
✓accuracy100.0%
(/.f64 z y)
✓accuracy100.0%
(neg.f64 (/.f64 z y))
✓accuracy92.9%
(*.f64 (neg.f64 (/.f64 z y)) x)
✓accuracy100.0%
(/.f64 x y)
✓accuracy100.0%
(neg.f64 (/.f64 x y))
✓accuracy93.2%
(*.f64 z (neg.f64 (/.f64 x y)))
✓accuracy100.0%
(/.f64 y x)
✓accuracy100.0%
(neg.f64 (/.f64 z (/.f64 y x)))
✓accuracy93.8%
(/.f64 z (/.f64 y x))
✓accuracy100.0%
(/.f64 z y)
✓accuracy100.0%
(-.f64 x (*.f64 (/.f64 z y) x))
✓accuracy92.9%
(*.f64 (/.f64 z y) x)
Results
253.0ms256×0valid
Compiler

Compiled 87 to 18 computations (79.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 190.0ms
ival-neg: 171.0ms (90.2% of total)
ival-div: 12.0ms (6.3% of total)
ival-mult: 5.0ms (2.6% of total)
ival-sub: 1.0ms (0.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series6.0ms (0.1%)

Counts
14 → 420
Calls
Call 1
Inputs
#<alt (- x (* (/ z y) x))>
#<alt (* (/ z y) x)>
#<alt (/ z y)>
#<alt (/ z (/ y x))>
#<alt (/ y x)>
#<alt (neg (/ z (/ y x)))>
#<alt (* z (neg (/ x y)))>
#<alt (/ x y)>
#<alt (neg (/ x y))>
#<alt (* (neg (/ z y)) x)>
#<alt (neg (/ z y))>
#<alt (/ x (neg (/ y z)))>
#<alt (/ y z)>
#<alt (neg (/ y z))>
Outputs
#<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>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* z (- (/ x z) (/ x y)))>
#<alt (* z (- (/ x z) (/ x y)))>
#<alt (* z (- (/ x z) (/ x y)))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 (/ x y)))))>
#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 (/ x y)))))>
#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 (/ x y)))))>
#<alt (* -1 (/ (* x z) y))>
#<alt (/ (- (* x y) (* x z)) y)>
#<alt (/ (- (* x y) (* x z)) y)>
#<alt (/ (- (* x y) (* x z)) y)>
#<alt x>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt x>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt (+ x (* -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 (/ 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 (/ (* 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 (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (* -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 (* -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 y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x 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 (* -1 (/ z y))>
#<alt (* -1 (/ z y))>
#<alt (* -1 (/ z y))>
#<alt (* -1 (/ z y))>
#<alt (* -1 (/ z y))>
#<alt (* -1 (/ z y))>
#<alt (* -1 (/ z y))>
#<alt (* -1 (/ z y))>
#<alt (* -1 (/ z y))>
#<alt (* -1 (/ z y))>
#<alt (* -1 (/ z y))>
#<alt (* -1 (/ z y))>
#<alt (* -1 (/ z y))>
#<alt (* -1 (/ z y))>
#<alt (* -1 (/ z y))>
#<alt (* -1 (/ z y))>
#<alt (* -1 (/ z y))>
#<alt (* -1 (/ z y))>
#<alt (* -1 (/ z y))>
#<alt (* -1 (/ z y))>
#<alt (* -1 (/ z y))>
#<alt (* -1 (/ z y))>
#<alt (* -1 (/ z y))>
#<alt (* -1 (/ 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 (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
Calls

105 calls:

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

rewrite458.0ms (4.9%)

Algorithm
1×batch-egg-rewrite
Rules
4024×*-lowering-*.f32
4024×*-lowering-*.f64
2976×/-lowering-/.f32
2976×/-lowering-/.f64
1536×sum5-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01765
19065
262164
3762064
0847364
Stop Event
1×iter limit
1×node limit
Counts
14 → 963
Calls
Call 1
Inputs
(- x (* (/ z y) x))
(* (/ z y) x)
(/ z y)
(/ z (/ y x))
(/ y x)
(neg (/ z (/ y x)))
(* z (neg (/ x y)))
(/ x y)
(neg (/ x y))
(* (neg (/ z y)) x)
(neg (/ z y))
(/ x (neg (/ y z)))
(/ y z)
(neg (/ y z))
Outputs
(+.f64 x (/.f64 x (-.f64 #s(literal 0 binary64) (/.f64 y z))))
(+.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (/.f64 y z))) x)
(+.f64 #s(literal 0 binary64) (*.f64 x (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) #s(literal 1 binary64))))
(+.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) (/.f64 x (/.f64 (/.f64 y x) z))))) (neg.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (+.f64 (*.f64 x x) (*.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) (/.f64 x (/.f64 (/.f64 y x) z)))))))
(+.f64 (/.f64 (*.f64 x x) (*.f64 x (+.f64 (/.f64 z y) #s(literal 1 binary64)))) (neg.f64 (/.f64 (/.f64 (/.f64 x (/.f64 y z)) (/.f64 (/.f64 y x) z)) (*.f64 x (+.f64 (/.f64 z y) #s(literal 1 binary64))))))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 x (/.f64 y z)) x))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) (/.f64 x (/.f64 (/.f64 y x) z))))) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (+.f64 (*.f64 x x) (*.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) (/.f64 x (/.f64 (/.f64 y x) z))))))
(-.f64 (/.f64 (*.f64 x x) (*.f64 x (+.f64 (/.f64 z y) #s(literal 1 binary64)))) (/.f64 (/.f64 (/.f64 x (/.f64 y z)) (/.f64 (/.f64 y x) z)) (*.f64 x (+.f64 (/.f64 z y) #s(literal 1 binary64)))))
(fma.f64 x (-.f64 #s(literal 0 binary64) (/.f64 z y)) x)
(fma.f64 z (-.f64 #s(literal 0 binary64) (/.f64 x y)) x)
(fma.f64 (/.f64 z y) (-.f64 #s(literal 0 binary64) x) x)
(fma.f64 (/.f64 x (/.f64 y z)) #s(literal -1 binary64) x)
(fma.f64 (/.f64 x y) (-.f64 #s(literal 0 binary64) z) x)
(fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) z x)
(fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) x x)
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 z y) x)
(fma.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 x y) x)
(fma.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) (/.f64 y z))) x)
(fma.f64 #s(literal -1 binary64) (/.f64 x (/.f64 y z)) x)
(neg.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) (/.f64 x (/.f64 (/.f64 y x) z)))))))
(neg.f64 (/.f64 (*.f64 x (-.f64 x (/.f64 (/.f64 z (/.f64 (/.f64 y x) z)) y))) (*.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) x))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))))) (+.f64 (*.f64 x x) (*.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) (/.f64 x (/.f64 (/.f64 y x) z))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 x (/.f64 (/.f64 z (/.f64 (/.f64 y x) z)) y)))) (*.f64 x (+.f64 (/.f64 z y) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) #s(literal 1 binary64))))))
(/.f64 (*.f64 x (-.f64 x (/.f64 (/.f64 z (/.f64 (/.f64 y x) z)) y))) (*.f64 x (+.f64 (/.f64 z y) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) (/.f64 x (/.f64 (/.f64 y x) z))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 x (/.f64 (/.f64 z (/.f64 (/.f64 y x) z)) y)))) (*.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z))))))) (*.f64 (+.f64 (*.f64 x x) (*.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) (/.f64 x (/.f64 (/.f64 y x) z)))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (*.f64 (+.f64 (/.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (*.f64 x (*.f64 x x)))))))
(/.f64 (*.f64 (*.f64 (+.f64 (/.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))))) (*.f64 (+.f64 (*.f64 x x) (*.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) (/.f64 x (/.f64 (/.f64 y x) z)))) (*.f64 (+.f64 (/.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (*.f64 x (*.f64 x x)))))
(/.f64 (*.f64 (*.f64 (+.f64 (/.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))))) (*.f64 (*.f64 x (+.f64 (/.f64 z y) #s(literal 1 binary64))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (/.f64 (/.f64 x (/.f64 y z)) (/.f64 (/.f64 y x) z)) (*.f64 (+.f64 (/.f64 (/.f64 z y) (/.f64 y z)) #s(literal 1 binary64)) (*.f64 x x))))))
(/.f64 (*.f64 (*.f64 (+.f64 (/.f64 (/.f64 z y) (/.f64 y z)) #s(literal 1 binary64)) (*.f64 x x)) (*.f64 x (-.f64 x (/.f64 (/.f64 z (/.f64 (/.f64 y x) z)) y)))) (*.f64 (*.f64 x (+.f64 (/.f64 z y) #s(literal 1 binary64))) (*.f64 (+.f64 (/.f64 (/.f64 z y) (/.f64 y z)) #s(literal 1 binary64)) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) (+.f64 (*.f64 x x) (*.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) (/.f64 x (/.f64 (/.f64 y x) z)))))
(/.f64 (-.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) (+.f64 (/.f64 (/.f64 x (/.f64 y z)) (/.f64 (/.f64 y x) z)) (-.f64 (*.f64 x x) (/.f64 x (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 y x) z))))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) (/.f64 x (/.f64 (/.f64 y x) z))))) (*.f64 (+.f64 (*.f64 x x) (*.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) (/.f64 x (/.f64 (/.f64 y x) z)))) (/.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))))) (*.f64 (+.f64 (*.f64 x x) (*.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) (/.f64 x (/.f64 (/.f64 y x) z)))) (+.f64 (*.f64 x x) (*.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) (/.f64 x (/.f64 (/.f64 y x) z))))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 (/.f64 z y) #s(literal 1 binary64)))) (*.f64 (*.f64 x (+.f64 (/.f64 z y) #s(literal 1 binary64))) (/.f64 (/.f64 x (/.f64 y z)) (/.f64 (/.f64 y x) z)))) (*.f64 (*.f64 x (+.f64 (/.f64 z y) #s(literal 1 binary64))) (*.f64 x (+.f64 (/.f64 z y) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) (/.f64 x (/.f64 (/.f64 y x) z)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 x (/.f64 (/.f64 z (/.f64 (/.f64 y x) z)) y))))) (neg.f64 (*.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) (/.f64 x (/.f64 (/.f64 y x) z))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (+.f64 (*.f64 x x) (*.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) (/.f64 x (/.f64 (/.f64 y x) z))))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) (/.f64 x (/.f64 (/.f64 y x) z))))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) (/.f64 x (/.f64 (/.f64 y x) z)))))) (+.f64 (*.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (+.f64 (*.f64 x x) (*.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) (/.f64 x (/.f64 (/.f64 y x) z))))) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (+.f64 (*.f64 x x) (*.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) (/.f64 x (/.f64 (/.f64 y x) z)))))) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) (/.f64 x (/.f64 (/.f64 y x) z))))) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (+.f64 (*.f64 x x) (*.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) (/.f64 x (/.f64 (/.f64 y x) z)))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (*.f64 x (+.f64 (/.f64 z y) #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (/.f64 x (/.f64 y z)) (/.f64 (/.f64 y x) z)) (*.f64 x (+.f64 (/.f64 z y) #s(literal 1 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 x (+.f64 (/.f64 z y) #s(literal 1 binary64)))) (/.f64 (*.f64 x x) (*.f64 x (+.f64 (/.f64 z y) #s(literal 1 binary64))))) (+.f64 (*.f64 (/.f64 (/.f64 (/.f64 x (/.f64 y z)) (/.f64 (/.f64 y x) z)) (*.f64 x (+.f64 (/.f64 z y) #s(literal 1 binary64)))) (/.f64 (/.f64 (/.f64 x (/.f64 y z)) (/.f64 (/.f64 y x) z)) (*.f64 x (+.f64 (/.f64 z y) #s(literal 1 binary64))))) (*.f64 (/.f64 (*.f64 x x) (*.f64 x (+.f64 (/.f64 z y) #s(literal 1 binary64)))) (/.f64 (/.f64 (/.f64 x (/.f64 y z)) (/.f64 (/.f64 y x) z)) (*.f64 x (+.f64 (/.f64 z y) #s(literal 1 binary64))))))))
(/.f64 (-.f64 (/.f64 (/.f64 x (/.f64 y z)) (/.f64 (/.f64 y x) z)) (*.f64 x x)) (-.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (/.f64 y z))) x))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) (/.f64 x (/.f64 (/.f64 y x) z))))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) (/.f64 x (/.f64 (/.f64 y x) z)))))) (*.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (+.f64 (*.f64 x x) (*.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) (/.f64 x (/.f64 (/.f64 y x) z))))) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (+.f64 (*.f64 x x) (*.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) (/.f64 x (/.f64 (/.f64 y x) z))))))) (+.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) (/.f64 x (/.f64 (/.f64 y x) z))))) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (+.f64 (*.f64 x x) (*.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) (/.f64 x (/.f64 (/.f64 y x) z)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 x (+.f64 (/.f64 z y) #s(literal 1 binary64)))) (/.f64 (*.f64 x x) (*.f64 x (+.f64 (/.f64 z y) #s(literal 1 binary64))))) (*.f64 (/.f64 (/.f64 (/.f64 x (/.f64 y z)) (/.f64 (/.f64 y x) z)) (*.f64 x (+.f64 (/.f64 z y) #s(literal 1 binary64)))) (/.f64 (/.f64 (/.f64 x (/.f64 y z)) (/.f64 (/.f64 y x) z)) (*.f64 x (+.f64 (/.f64 z y) #s(literal 1 binary64)))))) (+.f64 (/.f64 (*.f64 x x) (*.f64 x (+.f64 (/.f64 z y) #s(literal 1 binary64)))) (/.f64 (/.f64 (/.f64 x (/.f64 y z)) (/.f64 (/.f64 y x) z)) (*.f64 x (+.f64 (/.f64 z y) #s(literal 1 binary64))))))
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(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) y))
(*.f64 (pow.f64 (/.f64 z y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z y) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) y)
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) y)
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y))))) (/.f64 (/.f64 z y) (/.f64 y z)))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 z y) (/.f64 y z)))) (/.f64 z y))
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 y z)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y z)))
(-.f64 #s(literal 0 binary64) (/.f64 y z))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (/.f64 y z) (/.f64 z y)) (/.f64 y z)))
(-.f64 (/.f64 #s(literal 0 binary64) z) (/.f64 y z))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (/.f64 y z) (/.f64 z y))) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (/.f64 (/.f64 y z) (/.f64 z y))))
(neg.f64 (/.f64 y z))
(/.f64 y (-.f64 #s(literal 0 binary64) z))
(/.f64 (/.f64 y z) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 y z)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) y) z)
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 z y)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 y z) (/.f64 z y)) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y z) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 y z) (/.f64 z y)))))
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal -1 binary64) (/.f64 z y))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (/.f64 (/.f64 y z) (/.f64 z y)))
(/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal 1 binary64) y))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 y z) (/.f64 z y))) (/.f64 y z))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 y z) (/.f64 z y))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 y z) (/.f64 z y)))) (-.f64 #s(literal 0 binary64) (/.f64 y z)))
(/.f64 (/.f64 y #s(literal -1 binary64)) z)
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (/.f64 y z)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (/.f64 (/.f64 y z) (/.f64 z y)) #s(literal 0 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)) z)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) z)
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) z)
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 0 binary64) z))
(pow.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) #s(literal -1 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) (/.f64 y z)) #s(literal 1 binary64))
(*.f64 y (/.f64 #s(literal -1 binary64) z))
(*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))
(*.f64 y (/.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)))
(*.f64 (/.f64 y z) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 y z)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 1 binary64) z))
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 0 binary64) y))
(*.f64 #s(literal -1 binary64) (/.f64 y z))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y z) (/.f64 z y))))
(*.f64 (/.f64 #s(literal -1 binary64) z) y)
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 y z) (/.f64 z y))) (/.f64 z y))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y))))) (/.f64 (/.f64 z y) (/.f64 y z)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 z y) (/.f64 y z)))) (/.f64 z y))

simplify222.0ms (2.4%)

Algorithm
1×egg-herbie
Rules
2310×fnmsub-define
1932×fmm-def
1870×fma-lowering-fma.f32
1870×fma-lowering-fma.f64
1592×*-lowering-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0302031
1912001
22082001
35542001
421432001
572602001
084012001
Stop Event
1×iter limit
1×node limit
Counts
420 → 420
Calls
Call 1
Inputs
(* 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
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(* -1 (/ (* x z) y))
(* z (- (/ x z) (/ x y)))
(* z (- (/ x z) (/ x y)))
(* z (- (/ x z) (/ x y)))
(* -1 (/ (* x z) y))
(* -1 (* z (- (* -1 (/ x z)) (* -1 (/ x y)))))
(* -1 (* z (- (* -1 (/ x z)) (* -1 (/ x y)))))
(* -1 (* z (- (* -1 (/ x z)) (* -1 (/ x y)))))
(* -1 (/ (* x z) y))
(/ (- (* x y) (* x z)) y)
(/ (- (* x y) (* x z)) y)
(/ (- (* x y) (* x z)) y)
x
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
x
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(+ x (* -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)
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(/ (* x z) y)
(/ (* x z) y)
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(/ (* x z) y)
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(/ (* x z) y)
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(/ (* x z) y)
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(/ (* x z) y)
(/ (* x z) y)
(/ y x)
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(/ y x)
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(/ y x)
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(* -1 (/ (* x z) y))
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(* -1 (/ (* x z) y))
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(* -1 (/ (* x z) y))
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(/ x y)
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(* -1 (/ x y))
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(/ y z)
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(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
Outputs
(* x (- 1 (/ z y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(* x (- 1 (/ z y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(* x (- 1 (/ z y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(* x (- 1 (/ z y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(* x (- 1 (/ z y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(* x (- 1 (/ z y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(* x (- 1 (/ z y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(* x (- 1 (/ z y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(* x (+ 1 (* -1 (/ z y))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(* x (+ 1 (* -1 (/ z y))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(* x (+ 1 (* -1 (/ z y))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(* x (+ 1 (* -1 (/ z y))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
x
(+ x (* -1 (/ (* x z) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(+ x (* -1 (/ (* x z) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(+ x (* -1 (/ (* x z) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(* z (- (/ x z) (/ x y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(* z (- (/ x z) (/ x y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(* z (- (/ x z) (/ x y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(* -1 (* z (- (* -1 (/ x z)) (* -1 (/ x y)))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(* -1 (* z (- (* -1 (/ x z)) (* -1 (/ x y)))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(* -1 (* z (- (* -1 (/ x z)) (* -1 (/ x y)))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(/ (- (* x y) (* x z)) y)
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(/ (- (* x y) (* x z)) y)
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(/ (- (* x y) (* x z)) y)
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
x
(+ x (* -1 (/ (* x z) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(+ x (* -1 (/ (* x z) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(+ x (* -1 (/ (* x z) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
x
(+ x (* -1 (/ (* x z) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(+ x (* -1 (/ (* x z) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(+ x (* -1 (/ (* x z) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(/ (* x z) y)
(/.f64 (*.f64 x z) y)
(/ (* x z) y)
(/.f64 (*.f64 x z) y)
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(/.f64 z (-.f64 #s(literal 0 binary64) y))
(* -1 (/ z y))
(/.f64 z (-.f64 #s(literal 0 binary64) y))
(* -1 (/ z y))
(/.f64 z (-.f64 #s(literal 0 binary64) y))
(* -1 (/ z y))
(/.f64 z (-.f64 #s(literal 0 binary64) y))
(* -1 (/ z y))
(/.f64 z (-.f64 #s(literal 0 binary64) y))
(* -1 (/ z y))
(/.f64 z (-.f64 #s(literal 0 binary64) y))
(* -1 (/ z y))
(/.f64 z (-.f64 #s(literal 0 binary64) y))
(* -1 (/ z y))
(/.f64 z (-.f64 #s(literal 0 binary64) y))
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(* -1 (/ y z))
(/.f64 y (-.f64 #s(literal 0 binary64) z))
(* -1 (/ y z))
(/.f64 y (-.f64 #s(literal 0 binary64) z))
(* -1 (/ y z))
(/.f64 y (-.f64 #s(literal 0 binary64) z))
(* -1 (/ y z))
(/.f64 y (-.f64 #s(literal 0 binary64) z))
(* -1 (/ y z))
(/.f64 y (-.f64 #s(literal 0 binary64) z))
(* -1 (/ y z))
(/.f64 y (-.f64 #s(literal 0 binary64) z))
(* -1 (/ y z))
(/.f64 y (-.f64 #s(literal 0 binary64) z))
(* -1 (/ y z))
(/.f64 y (-.f64 #s(literal 0 binary64) z))
(* -1 (/ y z))
(/.f64 y (-.f64 #s(literal 0 binary64) z))
(* -1 (/ y z))
(/.f64 y (-.f64 #s(literal 0 binary64) z))
(* -1 (/ y z))
(/.f64 y (-.f64 #s(literal 0 binary64) z))
(* -1 (/ y z))
(/.f64 y (-.f64 #s(literal 0 binary64) z))
(* -1 (/ y z))
(/.f64 y (-.f64 #s(literal 0 binary64) z))
(* -1 (/ y z))
(/.f64 y (-.f64 #s(literal 0 binary64) z))
(* -1 (/ y z))
(/.f64 y (-.f64 #s(literal 0 binary64) z))
(* -1 (/ y z))
(/.f64 y (-.f64 #s(literal 0 binary64) z))
(* -1 (/ y z))
(/.f64 y (-.f64 #s(literal 0 binary64) z))
(* -1 (/ y z))
(/.f64 y (-.f64 #s(literal 0 binary64) z))
(* -1 (/ y z))
(/.f64 y (-.f64 #s(literal 0 binary64) z))
(* -1 (/ y z))
(/.f64 y (-.f64 #s(literal 0 binary64) z))
(* -1 (/ y z))
(/.f64 y (-.f64 #s(literal 0 binary64) z))
(* -1 (/ y z))
(/.f64 y (-.f64 #s(literal 0 binary64) z))
(* -1 (/ y z))
(/.f64 y (-.f64 #s(literal 0 binary64) z))
(* -1 (/ y z))
(/.f64 y (-.f64 #s(literal 0 binary64) z))

eval218.0ms (2.3%)

Compiler

Compiled 17476 to 1660 computations (90.5% saved)

prune108.0ms (1.2%)

Pruning

14 alts after pruning (2 fresh and 12 done)

PrunedKeptTotal
New145011451
Fresh011
Picked055
Done077
Total1450141464
Accuracy
100.0%
Counts
1464 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.6%
(/.f64 (-.f64 (*.f64 (*.f64 x y) y) (*.f64 y (*.f64 z x))) (*.f64 y y))
✓85.3%
(/.f64 (*.f64 x (-.f64 y z)) y)
✓37.6%
(/.f64 (*.f64 x y) y)
✓40.9%
(/.f64 y (/.f64 y x))
✓49.4%
(/.f64 x (*.f64 (/.f64 #s(literal -1 binary64) z) y))
✓49.4%
(/.f64 x (neg.f64 (/.f64 y z)))
✓47.2%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
✓96.2%
(-.f64 x (*.f64 (/.f64 z y) x))
✓41.4%
(*.f64 (/.f64 x y) y)
✓49.1%
(*.f64 (neg.f64 (/.f64 z y)) x)
✓50.3%
(*.f64 z (neg.f64 (/.f64 x y)))
49.5%
(neg.f64 (/.f64 (*.f64 x z) y))
✓50.3%
(neg.f64 (/.f64 z (/.f64 y x)))
✓47.3%
x
Compiler

Compiled 274 to 138 computations (49.6% saved)

regimes31.0ms (0.3%)

Counts
21 → 2
Calls
Call 1
Inputs
x
(*.f64 (/.f64 x y) y)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 y (/.f64 y x))
(/.f64 (*.f64 x y) y)
(neg.f64 (/.f64 z (/.f64 y x)))
(neg.f64 (/.f64 (*.f64 x z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 (neg.f64 (/.f64 z y)) x)
(/.f64 x (neg.f64 (/.f64 y z)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 (/.f64 x y) (-.f64 y z))
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (/.f64 z (/.f64 y x)))
(/.f64 x (*.f64 (/.f64 #s(literal -1 binary64) z) y))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z y)))
(/.f64 (*.f64 x (-.f64 y z)) y)
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (-.f64 y z)))
(+.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (/.f64 y z))) x)
(/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y z)) y))
(/.f64 (-.f64 (*.f64 (*.f64 x y) y) (*.f64 y (*.f64 z x))) (*.f64 y y))
Outputs
(-.f64 x (/.f64 z (/.f64 y x)))
(-.f64 x (*.f64 (/.f64 z y) x))
Calls

4 calls:

8.0ms
(/.f64 (*.f64 x (-.f64 y z)) y)
8.0ms
y
7.0ms
x
7.0ms
z
Results
AccuracySegmentsBranch
98.7%2x
96.4%1y
98.2%2z
96.4%1(/.f64 (*.f64 x (-.f64 y z)) y)
Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes33.0ms (0.4%)

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

3 calls:

23.0ms
y
5.0ms
x
4.0ms
z
Results
AccuracySegmentsBranch
96.2%1y
96.2%1z
96.2%1x
Compiler

Compiled 12 to 9 computations (25% saved)

regimes14.0ms (0.1%)

Counts
12 → 1
Calls
Call 1
Inputs
x
(*.f64 (/.f64 x y) y)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 y (/.f64 y x))
(/.f64 (*.f64 x y) y)
(neg.f64 (/.f64 z (/.f64 y x)))
(neg.f64 (/.f64 (*.f64 x z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 (neg.f64 (/.f64 z y)) x)
(/.f64 x (neg.f64 (/.f64 y z)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 (/.f64 x y) (-.f64 y z))
Outputs
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
Calls

3 calls:

4.0ms
x
4.0ms
y
4.0ms
z
Results
AccuracySegmentsBranch
96.1%1x
96.1%1y
96.1%1z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes23.0ms (0.2%)

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

3 calls:

14.0ms
z
4.0ms
x
4.0ms
y
Results
AccuracySegmentsBranch
59.2%4x
74.9%3y
74.1%3z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0%)

Counts
7 → 3
Calls
Call 1
Inputs
x
(*.f64 (/.f64 x y) y)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 y (/.f64 y x))
(/.f64 (*.f64 x y) y)
(neg.f64 (/.f64 z (/.f64 y x)))
(neg.f64 (/.f64 (*.f64 x z) y))
Outputs
x
(neg.f64 (/.f64 z (/.f64 y x)))
x
Calls

1 calls:

3.0ms
y
Results
AccuracySegmentsBranch
74.8%3y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes11.0ms (0.1%)

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

3 calls:

6.0ms
y
2.0ms
x
2.0ms
z
Results
AccuracySegmentsBranch
49.0%2x
47.3%1z
50.8%3y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
x
Outputs
x
Calls

3 calls:

1.0ms
y
1.0ms
x
1.0ms
z
Results
AccuracySegmentsBranch
47.3%1z
47.3%1x
47.3%1y
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch10.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×predicate-same
Steps
TimeLeftRight
9.0ms
1.9071981603534098e-84
2.769392811030437e-83
Results
5.0ms80×0valid
Compiler

Compiled 126 to 81 computations (35.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-sub: 1.0ms (55.9% of total)
ival-div: 1.0ms (55.9% of total)
ival-mult: 1.0ms (55.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch33.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
15.0ms
1.5939466844059171e-15
3915151099868271600.0
13.0ms
-3.0195786025063586e+20
-26775948527967856.0
Results
19.0ms304×0valid
Compiler

Compiled 301 to 220 computations (26.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-sub: 4.0ms (45.5% of total)
ival-div: 2.0ms (22.8% of total)
ival-mult: 2.0ms (22.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch33.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
19.0ms
1.5939466844059171e-15
3915151099868271600.0
11.0ms
-3.0195786025063586e+20
-26775948527967856.0
Results
21.0ms304×0valid
Compiler

Compiled 301 to 220 computations (26.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-sub: 2.0ms (29.4% of total)
ival-div: 2.0ms (29.4% of total)
ival-mult: 2.0ms (29.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch26.0ms (0.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
10.0ms
1.4175469470289774e-145
4.708505022457814e-144
14.0ms
-4.6045922760613464e-104
-1.1590639200785316e-107
Results
14.0ms240×0valid
Compiler

Compiled 226 to 161 computations (28.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-sub: 2.0ms (36.3% of total)
ival-div: 2.0ms (36.3% of total)
ival-mult: 2.0ms (36.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify11.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
28×*-commutative_binary64
24×+-commutative_binary64
24×sub-neg_binary64
18×neg-sub0_binary64
18×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03880
17680
210880
312580
413280
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 x #s(literal 3827688768370271/546812681195752981093125556779405341338292357723303109106442651602488249799843980805878294255763456 binary64)) (-.f64 x (/.f64 z (/.f64 y x))) (-.f64 x (*.f64 (/.f64 z y) x)))
(-.f64 x (*.f64 (/.f64 z y) x))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(if (<=.f64 y #s(literal -650000000000000000 binary64)) x (if (<=.f64 y #s(literal 1558380939346983/4722366482869645213696 binary64)) (*.f64 z (neg.f64 (/.f64 x y))) x))
(if (<=.f64 y #s(literal -1700000000000000000 binary64)) x (if (<=.f64 y #s(literal 8318957063997755/79228162514264337593543950336 binary64)) (neg.f64 (/.f64 z (/.f64 y x))) x))
(if (<=.f64 y #s(literal -1776587916123793/82631996098781074868989413504096379978550585370535152410581099409300723904538918228148651304964410605948901503127919788032 binary64)) x (if (<=.f64 y #s(literal 3655367458066347/14059105607947488696282932836518693308967803494693489478439861164411992439598399594747002144074658928593502845729752797260025831423419686528151609940203637047296 binary64)) (*.f64 (/.f64 x y) y) x))
x
Outputs
(if (<=.f64 x #s(literal 3827688768370271/546812681195752981093125556779405341338292357723303109106442651602488249799843980805878294255763456 binary64)) (-.f64 x (/.f64 z (/.f64 y x))) (-.f64 x (*.f64 (/.f64 z y) x)))
(if (<=.f64 x #s(literal 3827688768370271/546812681195752981093125556779405341338292357723303109106442651602488249799843980805878294255763456 binary64)) (-.f64 x (/.f64 z (/.f64 y x))) (-.f64 x (*.f64 x (/.f64 z y))))
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (*.f64 x (/.f64 z y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(if (<=.f64 y #s(literal -650000000000000000 binary64)) x (if (<=.f64 y #s(literal 1558380939346983/4722366482869645213696 binary64)) (*.f64 z (neg.f64 (/.f64 x y))) x))
(if (<=.f64 y #s(literal -650000000000000000 binary64)) x (if (<=.f64 y #s(literal 1558380939346983/4722366482869645213696 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 z (/.f64 x y))) x))
(if (<=.f64 y #s(literal -1700000000000000000 binary64)) x (if (<=.f64 y #s(literal 8318957063997755/79228162514264337593543950336 binary64)) (neg.f64 (/.f64 z (/.f64 y x))) x))
(if (<=.f64 y #s(literal -1700000000000000000 binary64)) x (if (<=.f64 y #s(literal 8318957063997755/79228162514264337593543950336 binary64)) (/.f64 z (/.f64 y (-.f64 #s(literal 0 binary64) x))) x))
(if (<=.f64 y #s(literal -1776587916123793/82631996098781074868989413504096379978550585370535152410581099409300723904538918228148651304964410605948901503127919788032 binary64)) x (if (<=.f64 y #s(literal 3655367458066347/14059105607947488696282932836518693308967803494693489478439861164411992439598399594747002144074658928593502845729752797260025831423419686528151609940203637047296 binary64)) (*.f64 (/.f64 x y) y) x))
(if (<=.f64 y #s(literal -1776587916123793/82631996098781074868989413504096379978550585370535152410581099409300723904538918228148651304964410605948901503127919788032 binary64)) x (if (<=.f64 y #s(literal 3655367458066347/14059105607947488696282932836518693308967803494693489478439861164411992439598399594747002144074658928593502845729752797260025831423419686528151609940203637047296 binary64)) (*.f64 y (/.f64 x y)) x))
x

soundness2.0s (21.5%)

Rules
4670×*-lowering-*.f32
4670×*-lowering-*.f64
4566×/-lowering-/.f32
4566×/-lowering-/.f64
3470×*-lowering-*.f32
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
063873
1205873
2622813
31852813
44297813
08189813
067
1117
2287
3517
41107
52376
66726
716336
862076
082936
02181824
17381726
220981590
377051588
082481588
01650
19136
279035
0837635
01030
15630
244630
3753730
0809230
01555
18049
251247
3584044
0826644
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 365 to 229 computations (37.3% saved)

preprocess104.0ms (1.1%)

Compiler

Compiled 380 to 200 computations (47.4% saved)

end0.0ms (0%)

Profiling

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