Data.Array.Repa.Algorithms.ColorRamp:rampColorHotToCold from repa-algorithms-3.4.0.1, A

Time bar (total: 7.6s)

analyze48.0ms (0.6%)

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

Compiled 17 to 13 computations (23.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 8.0ms (38.5% of total)
ival-add: 6.0ms (28.9% of total)
ival-sub: 4.0ms (19.2% of total)
ival-div: 2.0ms (9.6% of total)
const: 1.0ms (4.8% of total)
backward-pass: 0.0ms (0% of total)

sample1.1s (15%)

Results
802.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 520.0ms
ival-sub: 186.0ms (35.8% of total)
ival-mult: 138.0ms (26.5% of total)
ival-add: 103.0ms (19.8% of total)
ival-div: 72.0ms (13.9% of total)
const: 18.0ms (3.5% of total)
backward-pass: 3.0ms (0.6% of total)
Bogosity

preprocess449.0ms (5.9%)

Algorithm
egg-herbie
Rules
4256×accelerator-lowering-fma.f32
4256×accelerator-lowering-fma.f64
1398×div-sub
1352×div-sub
1344×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050143
1134130
2397130
31129130
43308114
57511114
01213
12413
25213
310213
420413
54629
69349
717669
828819
946089
1053459
1159419
1259489
1359509
1459509
1561689
1662779
1762779
1862779
1962779
2063099
2164359
064358
Stop Event
iter limit
saturated
node limit
Calls
Call 1
Inputs
(+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y))
Outputs
(+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y))
(+.f64 #s(literal 4 binary64) (*.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y)))
Call 2
Inputs
(+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y))
(+ 1 (/ (* 4 (- (+ (neg x) (* y 3/4)) z)) y))
(+ 1 (/ (* 4 (- (+ x (* (neg y) 3/4)) z)) (neg y)))
(+ 1 (/ (* 4 (- (+ x (* y 3/4)) (neg z))) y))
(neg (+ 1 (/ (* 4 (- (+ (neg x) (* y 3/4)) z)) y)))
(neg (+ 1 (/ (* 4 (- (+ x (* (neg y) 3/4)) z)) (neg y))))
(neg (+ 1 (/ (* 4 (- (+ x (* y 3/4)) (neg z))) y)))
(+ 1 (/ (* 4 (- (+ y (* x 3/4)) z)) x))
(+ 1 (/ (* 4 (- (+ z (* y 3/4)) x)) y))
(+ 1 (/ (* 4 (- (+ x (* z 3/4)) y)) z))
Outputs
(+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y))
(+ 1 (* 4 (- 3/4 (/ (- z x) y))))
(+ 1 (/ (* 4 (- (+ (neg x) (* y 3/4)) z)) y))
(+ 1 (* 4 (- 3/4 (/ (+ x z) y))))
(+ 1 (/ (* 4 (- (+ x (* (neg y) 3/4)) z)) (neg y)))
(- 1 (* 4 (- -3/4 (/ (- z x) y))))
(+ 1 (/ (* 4 (- (+ x (* y 3/4)) (neg z))) y))
(+ 1 (* 4 (+ 3/4 (/ (+ x z) y))))
(neg (+ 1 (/ (* 4 (- (+ (neg x) (* y 3/4)) z)) y)))
(+ -1 (* 4 (+ -3/4 (/ (+ x z) y))))
(neg (+ 1 (/ (* 4 (- (+ x (* (neg y) 3/4)) z)) (neg y))))
(+ -1 (* 4 (- -3/4 (/ (- z x) y))))
(neg (+ 1 (/ (* 4 (- (+ x (* y 3/4)) (neg z))) y)))
(+ -1 (* 4 (- -3/4 (/ (+ x z) y))))
(+ 1 (/ (* 4 (- (+ y (* x 3/4)) z)) x))
(+ 1 (* 4 (/ (+ (* x 3/4) (- y z)) x)))
(+ 1 (/ (* 4 (- (+ z (* y 3/4)) x)) y))
(- 1 (* 4 (- -3/4 (/ (- z x) y))))
(+ 1 (/ (* 4 (- (+ x (* z 3/4)) y)) z))
(+ 1 (* 4 (/ (+ (* z 3/4) (- x y)) z)))

explain198.0ms (2.6%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)
00-0-(+.f64 x (*.f64 y #s(literal 3/4 binary64)))
00-0-y
00-0-(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)
00-0-#s(literal 3/4 binary64)
00-0-(*.f64 y #s(literal 3/4 binary64))
00-0-#s(literal 4 binary64)
00-0-z
00-0-#s(literal 1 binary64)
00-0-(*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z))
00-0-(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y))
Results
94.0ms458×0valid
13.0ms24×1valid
11.0ms14×3valid
6.0ms10×2valid
7.0ms5exit
Compiler

Compiled 132 to 88 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 87.0ms
ival-mult: 37.0ms (42.7% of total)
ival-add: 19.0ms (21.9% of total)
ival-sub: 11.0ms (12.7% of total)
ival-div: 8.0ms (9.2% of total)
backward-pass: 8.0ms (9.2% of total)
const: 4.0ms (4.6% of total)

eval0.0ms (0%)

Compiler

Compiled 12 to 9 computations (25% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(+.f64 #s(literal 4 binary64) (*.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y)))
99.9%
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y))
Compiler

Compiled 28 to 21 computations (25% saved)

localize491.0ms (6.4%)

Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 4 binary64) y)
cost-diff0
(-.f64 x z)
cost-diff0
(*.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y))
cost-diff0
(+.f64 #s(literal 4 binary64) (*.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y)))
cost-diff0
(-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)
cost-diff0
(*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z))
cost-diff128
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)
cost-diff256
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y))
accuracy100.0%
(/.f64 #s(literal 4 binary64) y)
accuracy100.0%
(-.f64 x z)
accuracy100.0%
(+.f64 #s(literal 4 binary64) (*.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y)))
accuracy99.7%
(*.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y))
accuracy100.0%
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y))
accuracy100.0%
(-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)
accuracy99.9%
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)
accuracy99.9%
(+.f64 x (*.f64 y #s(literal 3/4 binary64)))
Rules
4256×accelerator-lowering-fma.f32
4256×accelerator-lowering-fma.f64
1354×div-sub
1344×*-lowering-*.f32
1344×*-lowering-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01680
13380
26680
314480
427780
553070
6107270
7209070
8338370
9515370
10568570
11615770
12616370
13616570
14616570
15638770
16648370
17648370
18648370
19648370
0648364
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y))
1
(/ (* 4 (- (+ x (* y 3/4)) z)) y)
(* 4 (- (+ x (* y 3/4)) z))
4
(- (+ x (* y 3/4)) z)
(+ x (* y 3/4))
x
(* y 3/4)
y
3/4
z
(+ 4 (* (- x z) (/ 4 y)))
(* (- x z) (/ 4 y))
(- x z)
(/ 4 y)
Outputs
(+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y))
(+.f64 #s(literal 4 binary64) (*.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y)))
1
#s(literal 1 binary64)
(/ (* 4 (- (+ x (* y 3/4)) z)) y)
(+.f64 (*.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64))
(* 4 (- (+ x (* y 3/4)) z))
(+.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) (*.f64 y #s(literal 3 binary64)))
4
#s(literal 4 binary64)
(- (+ x (* y 3/4)) z)
(-.f64 x (+.f64 z (*.f64 y #s(literal -3/4 binary64))))
(+ x (* y 3/4))
(-.f64 x (*.f64 y #s(literal -3/4 binary64)))
x
(* y 3/4)
(*.f64 y #s(literal 3/4 binary64))
y
3/4
#s(literal 3/4 binary64)
z
(+ 4 (* (- x z) (/ 4 y)))
(+.f64 #s(literal 4 binary64) (*.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y)))
(* (- x z) (/ 4 y))
(*.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y))
(- x z)
(-.f64 x z)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
Results
104.0ms229×0valid
7.0ms12×1valid
12.0ms3valid
4.0ms2valid
5.0ms5exit
Compiler

Compiled 84 to 50 computations (40.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 99.0ms
ival-mult: 59.0ms (59.7% of total)
ival-add: 14.0ms (14.2% of total)
ival-div: 10.0ms (10.1% of total)
ival-sub: 8.0ms (8.1% of total)
backward-pass: 6.0ms (6.1% of total)
const: 3.0ms (3% of total)

series65.0ms (0.9%)

Counts
9 → 276
Calls
Call 1
Inputs
#<alt (+ x (* y 3/4))>
#<alt (/ (* 4 (- (+ x (* y 3/4)) z)) y)>
#<alt (- (+ x (* y 3/4)) z)>
#<alt (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y))>
#<alt (* (- x z) (/ 4 y))>
#<alt (+ 4 (* (- x z) (/ 4 y)))>
#<alt (- x z)>
#<alt (/ 4 y)>
#<alt (* 4 (- (+ x (* y 3/4)) z))>
Outputs
#<alt (* 3/4 y)>
#<alt (+ x (* 3/4 y))>
#<alt (+ x (* 3/4 y))>
#<alt (+ x (* 3/4 y))>
#<alt x>
#<alt (* x (+ 1 (* 3/4 (/ y x))))>
#<alt (* x (+ 1 (* 3/4 (/ y x))))>
#<alt (* x (+ 1 (* 3/4 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (* -3/4 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -3/4 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -3/4 (/ y x)) 1)))>
#<alt x>
#<alt (+ x (* 3/4 y))>
#<alt (+ x (* 3/4 y))>
#<alt (+ x (* 3/4 y))>
#<alt (* 3/4 y)>
#<alt (* y (+ 3/4 (/ x y)))>
#<alt (* y (+ 3/4 (/ x y)))>
#<alt (* y (+ 3/4 (/ x y)))>
#<alt (* 3/4 y)>
#<alt (* -1 (* y (- (* -1 (/ x y)) 3/4)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 3/4)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 3/4)))>
#<alt (* 4 (/ (- (* 3/4 y) z) y))>
#<alt (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))>
#<alt (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))>
#<alt (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))>
#<alt (* 4 (/ x y))>
#<alt (* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))>
#<alt (* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))>
#<alt (* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))>
#<alt (* 4 (/ x y))>
#<alt (* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))))>
#<alt (* 4 (/ (- x z) y))>
#<alt (/ (+ (* 3 y) (* 4 (- x z))) y)>
#<alt (/ (+ (* 3 y) (* 4 (- x z))) y)>
#<alt (/ (+ (* 3 y) (* 4 (- x z))) y)>
#<alt 3>
#<alt (+ 3 (* 4 (/ (- x z) y)))>
#<alt (+ 3 (* 4 (/ (- x z) y)))>
#<alt (+ 3 (* 4 (/ (- x z) y)))>
#<alt 3>
#<alt (+ 3 (* 4 (/ (- x z) y)))>
#<alt (+ 3 (* 4 (/ (- x z) y)))>
#<alt (+ 3 (* 4 (/ (- x z) y)))>
#<alt (* 4 (/ (+ x (* 3/4 y)) y))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))>
#<alt (* -4 (/ z y))>
#<alt (* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y))))>
#<alt (* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y))))>
#<alt (* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y))))>
#<alt (* -4 (/ z y))>
#<alt (* -1 (* z (+ (* -4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))))>
#<alt (- (* 3/4 y) z)>
#<alt (- (+ x (* 3/4 y)) z)>
#<alt (- (+ x (* 3/4 y)) z)>
#<alt (- (+ x (* 3/4 y)) z)>
#<alt x>
#<alt (* x (- (+ 1 (* 3/4 (/ y x))) (/ z x)))>
#<alt (* x (- (+ 1 (* 3/4 (/ y x))) (/ z x)))>
#<alt (* x (- (+ 1 (* 3/4 (/ y x))) (/ z x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (- (* 3/4 y) z) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* 3/4 y) z) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* 3/4 y) z) x)) 1)))>
#<alt (- x z)>
#<alt (- (+ x (* 3/4 y)) z)>
#<alt (- (+ x (* 3/4 y)) z)>
#<alt (- (+ x (* 3/4 y)) z)>
#<alt (* 3/4 y)>
#<alt (* y (- (+ 3/4 (/ x y)) (/ z y)))>
#<alt (* y (- (+ 3/4 (/ x y)) (/ z y)))>
#<alt (* y (- (+ 3/4 (/ x y)) (/ z y)))>
#<alt (* 3/4 y)>
#<alt (* -1 (* y (- (* -1 (/ (- x z) y)) 3/4)))>
#<alt (* -1 (* y (- (* -1 (/ (- x z) y)) 3/4)))>
#<alt (* -1 (* y (- (* -1 (/ (- x z) y)) 3/4)))>
#<alt (+ x (* 3/4 y))>
#<alt (+ x (+ (* -1 z) (* 3/4 y)))>
#<alt (+ x (+ (* -1 z) (* 3/4 y)))>
#<alt (+ x (+ (* -1 z) (* 3/4 y)))>
#<alt (* -1 z)>
#<alt (* z (- (+ (* 3/4 (/ y z)) (/ x z)) 1))>
#<alt (* z (- (+ (* 3/4 (/ y z)) (/ x z)) 1))>
#<alt (* z (- (+ (* 3/4 (/ y z)) (/ x z)) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ x (* 3/4 y)) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ x (* 3/4 y)) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ x (* 3/4 y)) z)))))>
#<alt (+ 1 (* 4 (/ (- (* 3/4 y) z) y)))>
#<alt (+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))>
#<alt (+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))>
#<alt (+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))>
#<alt (* 4 (/ x y))>
#<alt (* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))>
#<alt (* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))>
#<alt (* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))>
#<alt (* 4 (/ x y))>
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))>
#<alt (* 4 (/ (- x z) y))>
#<alt (/ (+ (* 4 y) (* 4 (- x z))) y)>
#<alt (/ (+ (* 4 y) (* 4 (- x z))) y)>
#<alt (/ (+ (* 4 y) (* 4 (- x z))) y)>
#<alt 4>
#<alt (+ 4 (* 4 (/ (- x z) y)))>
#<alt (+ 4 (* 4 (/ (- x z) y)))>
#<alt (+ 4 (* 4 (/ (- x z) y)))>
#<alt 4>
#<alt (+ 4 (* 4 (/ (- x z) y)))>
#<alt (+ 4 (* 4 (/ (- x z) y)))>
#<alt (+ 4 (* 4 (/ (- x z) y)))>
#<alt (+ 1 (* 4 (/ (+ x (* 3/4 y)) y)))>
#<alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))>
#<alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))>
#<alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))>
#<alt (* -4 (/ z y))>
#<alt (* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))>
#<alt (* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))>
#<alt (* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))>
#<alt (* -4 (/ z y))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))>
#<alt (* -4 (/ z y))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))>
#<alt (* 4 (/ x y))>
#<alt (* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))>
#<alt (* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))>
#<alt (* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))>
#<alt (* 4 (/ x y))>
#<alt (* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))>
#<alt (* 4 (/ x y))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))>
#<alt (* -4 (/ z y))>
#<alt (* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))>
#<alt (* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))>
#<alt (* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))>
#<alt (* -4 (/ z y))>
#<alt (* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (+ 4 (* -4 (/ z y)))>
#<alt (+ 4 (+ (* -4 (/ z y)) (* 4 (/ x y))))>
#<alt (+ 4 (+ (* -4 (/ z y)) (* 4 (/ x y))))>
#<alt (+ 4 (+ (* -4 (/ z y)) (* 4 (/ x y))))>
#<alt (* 4 (/ x y))>
#<alt (* x (+ (* -4 (/ z (* x y))) (+ (* 4 (/ 1 x)) (* 4 (/ 1 y)))))>
#<alt (* x (+ (* -4 (/ z (* x y))) (+ (* 4 (/ 1 x)) (* 4 (/ 1 y)))))>
#<alt (* x (+ (* -4 (/ z (* x y))) (+ (* 4 (/ 1 x)) (* 4 (/ 1 y)))))>
#<alt (* 4 (/ x y))>
#<alt (* -1 (* x (- (* -1 (/ (+ 4 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* -1 (/ (+ 4 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* -1 (/ (+ 4 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))>
#<alt (+ 4 (* 4 (/ x y)))>
#<alt (+ 4 (+ (* -4 (/ z y)) (* 4 (/ x y))))>
#<alt (+ 4 (+ (* -4 (/ z y)) (* 4 (/ x y))))>
#<alt (+ 4 (+ (* -4 (/ z y)) (* 4 (/ x y))))>
#<alt (* -4 (/ z y))>
#<alt (* z (- (+ (* 4 (/ x (* y z))) (* 4 (/ 1 z))) (* 4 (/ 1 y))))>
#<alt (* z (- (+ (* 4 (/ x (* y z))) (* 4 (/ 1 z))) (* 4 (/ 1 y))))>
#<alt (* z (- (+ (* 4 (/ x (* y z))) (* 4 (/ 1 z))) (* 4 (/ 1 y))))>
#<alt (* -4 (/ z y))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 4 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 4 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 4 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))>
#<alt (* 4 (/ (- x z) y))>
#<alt (/ (+ (* 4 y) (* 4 (- x z))) y)>
#<alt (/ (+ (* 4 y) (* 4 (- x z))) y)>
#<alt (/ (+ (* 4 y) (* 4 (- x z))) y)>
#<alt 4>
#<alt (+ 4 (* 4 (/ (- x z) y)))>
#<alt (+ 4 (* 4 (/ (- x z) y)))>
#<alt (+ 4 (* 4 (/ (- x z) y)))>
#<alt 4>
#<alt (+ 4 (* 4 (/ (- x z) y)))>
#<alt (+ 4 (* 4 (/ (- x z) y)))>
#<alt (+ 4 (* 4 (/ (- x z) y)))>
#<alt (* -1 z)>
#<alt (- x z)>
#<alt (- x z)>
#<alt (- x z)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ z x))))>
#<alt (* x (+ 1 (* -1 (/ z x))))>
#<alt (* x (+ 1 (* -1 (/ z x))))>
#<alt x>
#<alt (* -1 (* x (- (/ z x) 1)))>
#<alt (* -1 (* x (- (/ z x) 1)))>
#<alt (* -1 (* x (- (/ z x) 1)))>
#<alt x>
#<alt (+ x (* -1 z))>
#<alt (+ x (* -1 z))>
#<alt (+ x (* -1 z))>
#<alt (* -1 z)>
#<alt (* z (- (/ x z) 1))>
#<alt (* z (- (/ x z) 1))>
#<alt (* z (- (/ x z) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (* 4 (- (* 3/4 y) z))>
#<alt (+ (* 4 x) (* 4 (- (* 3/4 y) z)))>
#<alt (+ (* 4 x) (* 4 (- (* 3/4 y) z)))>
#<alt (+ (* 4 x) (* 4 (- (* 3/4 y) z)))>
#<alt (* 4 x)>
#<alt (* x (+ 4 (* 4 (/ (- (* 3/4 y) z) x))))>
#<alt (* x (+ 4 (* 4 (/ (- (* 3/4 y) z) x))))>
#<alt (* x (+ 4 (* 4 (/ (- (* 3/4 y) z) x))))>
#<alt (* 4 x)>
#<alt (* -1 (* x (- (* -4 (/ (- (* 3/4 y) z) x)) 4)))>
#<alt (* -1 (* x (- (* -4 (/ (- (* 3/4 y) z) x)) 4)))>
#<alt (* -1 (* x (- (* -4 (/ (- (* 3/4 y) z) x)) 4)))>
#<alt (* 4 (- x z))>
#<alt (+ (* 3 y) (* 4 (- x z)))>
#<alt (+ (* 3 y) (* 4 (- x z)))>
#<alt (+ (* 3 y) (* 4 (- x z)))>
#<alt (* 3 y)>
#<alt (* y (+ 3 (* 4 (/ (- x z) y))))>
#<alt (* y (+ 3 (* 4 (/ (- x z) y))))>
#<alt (* y (+ 3 (* 4 (/ (- x z) y))))>
#<alt (* 3 y)>
#<alt (* -1 (* y (- (* -4 (/ (- x z) y)) 3)))>
#<alt (* -1 (* y (- (* -4 (/ (- x z) y)) 3)))>
#<alt (* -1 (* y (- (* -4 (/ (- x z) y)) 3)))>
#<alt (* 4 (+ x (* 3/4 y)))>
#<alt (+ (* -4 z) (* 4 (+ x (* 3/4 y))))>
#<alt (+ (* -4 z) (* 4 (+ x (* 3/4 y))))>
#<alt (+ (* -4 z) (* 4 (+ x (* 3/4 y))))>
#<alt (* -4 z)>
#<alt (* z (- (* 4 (/ (+ x (* 3/4 y)) z)) 4))>
#<alt (* z (- (* 4 (/ (+ x (* 3/4 y)) z)) 4))>
#<alt (* z (- (* 4 (/ (+ x (* 3/4 y)) z)) 4))>
#<alt (* -4 z)>
#<alt (* -1 (* z (+ 4 (* -4 (/ (+ x (* 3/4 y)) z)))))>
#<alt (* -1 (* z (+ 4 (* -4 (/ (+ x (* 3/4 y)) z)))))>
#<alt (* -1 (* z (+ 4 (* -4 (/ (+ x (* 3/4 y)) z)))))>
Calls

69 calls:

TimeVariablePointExpression
41.0ms
x
@inf
(* (- x z) (/ 4 y))
1.0ms
x
@-inf
(* (- x z) (/ 4 y))
1.0ms
y
@inf
(/ (* 4 (- (+ x (* y 3/4)) z)) y)
1.0ms
x
@inf
(/ (* 4 (- (+ x (* y 3/4)) z)) y)
1.0ms
z
@0
(/ (* 4 (- (+ x (* y 3/4)) z)) y)

rewrite713.0ms (9.3%)

Algorithm
batch-egg-rewrite
Rules
5050×accelerator-lowering-fma.f32
5050×accelerator-lowering-fma.f64
4394×*-lowering-*.f32
4394×*-lowering-*.f64
3838×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01667
110567
294867
0875060
Stop Event
iter limit
node limit
Counts
9 → 493
Calls
Call 1
Inputs
(+ x (* y 3/4))
(/ (* 4 (- (+ x (* y 3/4)) z)) y)
(- (+ x (* y 3/4)) z)
(+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y))
(* (- x z) (/ 4 y))
(+ 4 (* (- x z) (/ 4 y)))
(- x z)
(/ 4 y)
(* 4 (- (+ x (* y 3/4)) z))
Outputs
(+.f64 x (*.f64 y #s(literal 3/4 binary64)))
(+.f64 (*.f64 y #s(literal 3/4 binary64)) x)
(+.f64 (/.f64 (*.f64 x x) (+.f64 x (*.f64 y #s(literal -3/4 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 9/16 binary64)) (+.f64 x (*.f64 y #s(literal -3/4 binary64))))))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x (*.f64 y #s(literal -3/4 binary64)))) (/.f64 (*.f64 (*.f64 y y) #s(literal 9/16 binary64)) (+.f64 x (*.f64 y #s(literal -3/4 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 9/16 binary64)) (-.f64 (*.f64 y #s(literal 3/4 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y #s(literal 3/4 binary64)) x)))
(fma.f64 y #s(literal 3/4 binary64) x)
(fma.f64 #s(literal 3/4 binary64) y x)
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y #s(literal -3/4 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 9/16 binary64)) (+.f64 x (*.f64 y #s(literal -3/4 binary64))))))
(neg.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27/64 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 3/4 binary64)) (-.f64 (*.f64 y #s(literal 3/4 binary64)) x))))))
(neg.f64 (/.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 y y) #s(literal -9/16 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 x (*.f64 y #s(literal -3/4 binary64))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27/64 binary64)))) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 3/4 binary64)) (-.f64 (*.f64 y #s(literal 3/4 binary64)) x)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 (*.f64 y y) #s(literal -9/16 binary64)))) (+.f64 x (*.f64 y #s(literal -3/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y #s(literal 3/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y #s(literal 3/4 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 y y) #s(literal 9/16 binary64)) (+.f64 (*.f64 x x) (*.f64 x (*.f64 y #s(literal -3/4 binary64))))) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27/64 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y #s(literal 3/4 binary64)) x) (-.f64 (*.f64 (*.f64 y y) #s(literal 9/16 binary64)) (*.f64 x x))))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27/64 binary64))) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 3/4 binary64)) (-.f64 (*.f64 y #s(literal 3/4 binary64)) x))))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27/64 binary64))) (+.f64 (*.f64 (*.f64 y y) #s(literal 9/16 binary64)) (+.f64 (*.f64 x x) (*.f64 x (*.f64 y #s(literal -3/4 binary64))))))
(/.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 y y) #s(literal -9/16 binary64))) (+.f64 x (*.f64 y #s(literal -3/4 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y #s(literal 3/4 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27/64 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 3/4 binary64)) (-.f64 (*.f64 y #s(literal 3/4 binary64)) x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27/64 binary64)))) (neg.f64 (+.f64 (*.f64 (*.f64 y y) #s(literal 9/16 binary64)) (+.f64 (*.f64 x x) (*.f64 x (*.f64 y #s(literal -3/4 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 (*.f64 y y) #s(literal -9/16 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 x (*.f64 y #s(literal -3/4 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 9/16 binary64)) (*.f64 x x)) (-.f64 (*.f64 y #s(literal 3/4 binary64)) x))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x (*.f64 y #s(literal -3/4 binary64)))) (*.f64 (+.f64 x (*.f64 y #s(literal -3/4 binary64))) (*.f64 (*.f64 y y) #s(literal 9/16 binary64)))) (*.f64 (+.f64 x (*.f64 y #s(literal -3/4 binary64))) (+.f64 x (*.f64 y #s(literal -3/4 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27/64 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 3/4 binary64)) (-.f64 (*.f64 y #s(literal 3/4 binary64)) x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 (*.f64 y y) #s(literal -9/16 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 x (*.f64 y #s(literal -3/4 binary64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 9/16 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 y #s(literal 3/4 binary64)) x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 x (*.f64 y #s(literal -3/4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 9/16 binary64)) (+.f64 x (*.f64 y #s(literal -3/4 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x (*.f64 y #s(literal -3/4 binary64)))) (/.f64 (*.f64 x x) (+.f64 x (*.f64 y #s(literal -3/4 binary64))))) (+.f64 (*.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 9/16 binary64)) (+.f64 x (*.f64 y #s(literal -3/4 binary64)))) (/.f64 (*.f64 (*.f64 y y) #s(literal 9/16 binary64)) (+.f64 x (*.f64 y #s(literal -3/4 binary64))))) (*.f64 (/.f64 (*.f64 x x) (+.f64 x (*.f64 y #s(literal -3/4 binary64)))) (/.f64 (*.f64 (*.f64 y y) #s(literal 9/16 binary64)) (+.f64 x (*.f64 y #s(literal -3/4 binary64))))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x (*.f64 y #s(literal -3/4 binary64)))) (/.f64 (*.f64 x x) (+.f64 x (*.f64 y #s(literal -3/4 binary64))))) (*.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 9/16 binary64)) (+.f64 x (*.f64 y #s(literal -3/4 binary64)))) (/.f64 (*.f64 (*.f64 y y) #s(literal 9/16 binary64)) (+.f64 x (*.f64 y #s(literal -3/4 binary64)))))) (+.f64 (/.f64 (*.f64 x x) (+.f64 x (*.f64 y #s(literal -3/4 binary64)))) (/.f64 (*.f64 (*.f64 y y) #s(literal 9/16 binary64)) (+.f64 x (*.f64 y #s(literal -3/4 binary64))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y #s(literal 3/4 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y #s(literal 3/4 binary64))))
(*.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27/64 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 3/4 binary64)) (-.f64 (*.f64 y #s(literal 3/4 binary64)) x)))))
(*.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27/64 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 y y) #s(literal 9/16 binary64)) (+.f64 (*.f64 x x) (*.f64 x (*.f64 y #s(literal -3/4 binary64)))))))
(*.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 y y) #s(literal -9/16 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y #s(literal -3/4 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27/64 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 3/4 binary64)) (-.f64 (*.f64 y #s(literal 3/4 binary64)) x))))))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 (*.f64 y y) #s(literal -9/16 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x (*.f64 y #s(literal -3/4 binary64))))))
(*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 9/16 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y #s(literal 3/4 binary64)) x)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 4 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 4 binary64) (-.f64 (*.f64 y #s(literal 3/4 binary64)) z))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 4 binary64) (+.f64 x (*.f64 y #s(literal 3/4 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (*.f64 #s(literal 4 binary64) z))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 4 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 (*.f64 y #s(literal 3/4 binary64)) z) #s(literal 4 binary64))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) #s(literal 4 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 0 binary64) z) #s(literal 4 binary64))))
(+.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) (/.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 (*.f64 y #s(literal 3/4 binary64)) z)) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (*.f64 (*.f64 #s(literal 4 binary64) (+.f64 x (*.f64 y #s(literal 3/4 binary64)))) (/.f64 #s(literal 1 binary64) y)) (*.f64 (neg.f64 (*.f64 #s(literal 4 binary64) z)) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (*.f64 (*.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 (-.f64 (*.f64 y #s(literal 3/4 binary64)) z) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (*.f64 (*.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) z) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 y #s(literal 4 binary64)) (+.f64 x (-.f64 (*.f64 y #s(literal 3/4 binary64)) z)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -4 binary64) (/.f64 y (+.f64 x (-.f64 (*.f64 y #s(literal 3/4 binary64)) z)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal -4 binary64) (/.f64 y (+.f64 x (-.f64 (*.f64 y #s(literal 3/4 binary64)) z)))))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 4 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 4 binary64) (-.f64 (*.f64 y #s(literal 3/4 binary64)) z))))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 4 binary64) (+.f64 x (*.f64 y #s(literal 3/4 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (*.f64 #s(literal 4 binary64) z))))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 (*.f64 y #s(literal 3/4 binary64)) z) #s(literal 4 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) #s(literal 4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 0 binary64) z) #s(literal 4 binary64))))
(fma.f64 (*.f64 #s(literal 4 binary64) x) (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 (*.f64 y #s(literal 3/4 binary64)) z)) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (*.f64 #s(literal 4 binary64) (+.f64 x (*.f64 y #s(literal 3/4 binary64)))) (/.f64 #s(literal 1 binary64) y) (*.f64 (neg.f64 (*.f64 #s(literal 4 binary64) z)) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (*.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 (-.f64 (*.f64 y #s(literal 3/4 binary64)) z) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (*.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) z) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) y)))
(neg.f64 (/.f64 #s(literal -4 binary64) (/.f64 y (+.f64 x (-.f64 (*.f64 y #s(literal 3/4 binary64)) z)))))
(/.f64 #s(literal 4 binary64) (/.f64 y (+.f64 x (-.f64 (*.f64 y #s(literal 3/4 binary64)) z))))
(/.f64 (+.f64 x (-.f64 (*.f64 y #s(literal 3/4 binary64)) z)) (/.f64 y #s(literal 4 binary64)))
(/.f64 (*.f64 #s(literal 4 binary64) (+.f64 x (-.f64 (*.f64 y #s(literal 3/4 binary64)) z))) y)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y #s(literal 4 binary64)) (+.f64 x (-.f64 (*.f64 y #s(literal 3/4 binary64)) z))))
(/.f64 (*.f64 (+.f64 x (-.f64 (*.f64 y #s(literal 3/4 binary64)) z)) #s(literal -4 binary64)) (-.f64 #s(literal 0 binary64) y))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y #s(literal -4 binary64)) (+.f64 x (-.f64 (*.f64 y #s(literal 3/4 binary64)) z))))
(pow.f64 (/.f64 (/.f64 y #s(literal 4 binary64)) (+.f64 x (-.f64 (*.f64 y #s(literal 3/4 binary64)) z))) #s(literal -1 binary64))
(*.f64 #s(literal 4 binary64) (/.f64 (+.f64 x (-.f64 (*.f64 y #s(literal 3/4 binary64)) z)) y))
(*.f64 (+.f64 x (-.f64 (*.f64 y #s(literal 3/4 binary64)) z)) (/.f64 #s(literal 4 binary64) y))
(*.f64 (*.f64 #s(literal 4 binary64) (+.f64 x (-.f64 (*.f64 y #s(literal 3/4 binary64)) z))) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 4 binary64) (/.f64 y (+.f64 x (-.f64 (*.f64 y #s(literal 3/4 binary64)) z)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (/.f64 y (+.f64 x (-.f64 (*.f64 y #s(literal 3/4 binary64)) z)))))
(*.f64 #s(literal -4 binary64) (/.f64 (+.f64 (*.f64 y #s(literal -3/4 binary64)) (-.f64 #s(literal 0 binary64) (-.f64 x z))) y))
(*.f64 (*.f64 (+.f64 x (-.f64 (*.f64 y #s(literal 3/4 binary64)) z)) #s(literal -4 binary64)) (/.f64 #s(literal -1 binary64) y))
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(+.f64 (*.f64 x #s(literal 4 binary64)) (*.f64 (-.f64 (*.f64 y #s(literal 3/4 binary64)) z) #s(literal 4 binary64)))
(+.f64 (*.f64 (-.f64 (*.f64 y #s(literal 3/4 binary64)) z) #s(literal 4 binary64)) (*.f64 x #s(literal 4 binary64)))
(+.f64 (*.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) #s(literal 4 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) z) #s(literal 4 binary64)))
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) z) #s(literal 4 binary64)) (*.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) #s(literal 4 binary64)))
(+.f64 (*.f64 #s(literal 4 binary64) (*.f64 y #s(literal 3/4 binary64))) (*.f64 #s(literal 4 binary64) (-.f64 x z)))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) x)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (-.f64 (*.f64 y #s(literal 3/4 binary64)) z))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (+.f64 x (*.f64 y #s(literal 3/4 binary64))))) (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal 4 binary64) z))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 y #s(literal 3/4 binary64)) z) #s(literal 4 binary64))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) #s(literal 4 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) z) #s(literal 4 binary64))))
(+.f64 (*.f64 (*.f64 y #s(literal 3/4 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (-.f64 x z)))
(+.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 (*.f64 y #s(literal 3/4 binary64)) z)) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 4 binary64) (+.f64 x (*.f64 y #s(literal 3/4 binary64)))) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 #s(literal 4 binary64) z)) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 y #s(literal 3/4 binary64)) z) #s(literal 4 binary64)) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) z) #s(literal 4 binary64)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (+.f64 x (-.f64 (*.f64 y #s(literal 3/4 binary64)) z)) #s(literal -4 binary64)))
(fma.f64 x #s(literal 4 binary64) (*.f64 (-.f64 (*.f64 y #s(literal 3/4 binary64)) z) #s(literal 4 binary64)))
(fma.f64 (*.f64 y #s(literal 3/4 binary64)) #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (-.f64 x z)))
(fma.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) #s(literal 4 binary64) (*.f64 (-.f64 #s(literal 0 binary64) z) #s(literal 4 binary64)))
(fma.f64 #s(literal 4 binary64) x (*.f64 #s(literal 4 binary64) (-.f64 (*.f64 y #s(literal 3/4 binary64)) z)))
(fma.f64 #s(literal 4 binary64) (*.f64 y #s(literal 3/4 binary64)) (*.f64 #s(literal 4 binary64) (-.f64 x z)))
(fma.f64 #s(literal 4 binary64) (+.f64 x (*.f64 y #s(literal 3/4 binary64))) (neg.f64 (*.f64 #s(literal 4 binary64) z)))
(fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 0 binary64) z) (*.f64 #s(literal 4 binary64) (+.f64 x (*.f64 y #s(literal 3/4 binary64)))))
(fma.f64 #s(literal 4 binary64) (-.f64 (*.f64 y #s(literal 3/4 binary64)) z) (*.f64 #s(literal 4 binary64) x))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) x) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (-.f64 (*.f64 y #s(literal 3/4 binary64)) z))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (+.f64 x (*.f64 y #s(literal 3/4 binary64)))) (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal 4 binary64) z))))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 y #s(literal 3/4 binary64)) z) #s(literal 4 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) z) #s(literal 4 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) z) #s(literal 4 binary64) (*.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) #s(literal 4 binary64)))
(fma.f64 (-.f64 (*.f64 y #s(literal 3/4 binary64)) z) #s(literal 4 binary64) (*.f64 x #s(literal 4 binary64)))
(fma.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 (*.f64 y #s(literal 3/4 binary64)) z)) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 4 binary64) (+.f64 x (*.f64 y #s(literal 3/4 binary64)))) #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 4 binary64) z)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 (*.f64 y #s(literal 3/4 binary64)) z) #s(literal 4 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) #s(literal 4 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) z) #s(literal 4 binary64)) #s(literal 1 binary64)))
(neg.f64 (*.f64 (+.f64 x (-.f64 (*.f64 y #s(literal 3/4 binary64)) z)) #s(literal -4 binary64)))
(/.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (*.f64 y #s(literal 3/4 binary64)) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) (+.f64 x (*.f64 y #s(literal 3/4 binary64)))) (*.f64 z (+.f64 x (+.f64 (*.f64 y #s(literal 3/4 binary64)) z)))) (*.f64 #s(literal 4 binary64) (-.f64 (*.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) (*.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) (+.f64 x (*.f64 y #s(literal 3/4 binary64))))) (*.f64 z (*.f64 z z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (+.f64 (*.f64 y #s(literal 3/4 binary64)) z)) (*.f64 #s(literal 4 binary64) (-.f64 (*.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) (+.f64 x (*.f64 y #s(literal 3/4 binary64)))) (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) (+.f64 x (*.f64 y #s(literal 3/4 binary64)))) (*.f64 z (+.f64 x (+.f64 (*.f64 y #s(literal 3/4 binary64)) z)))) (*.f64 (-.f64 (*.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) (*.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) (+.f64 x (*.f64 y #s(literal 3/4 binary64))))) (*.f64 z (*.f64 z z))) #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (+.f64 (*.f64 y #s(literal 3/4 binary64)) z)) (*.f64 (-.f64 (*.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) (+.f64 x (*.f64 y #s(literal 3/4 binary64)))) (*.f64 z z)) #s(literal 4 binary64))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (*.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) (*.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) (+.f64 x (*.f64 y #s(literal 3/4 binary64))))) (*.f64 z (*.f64 z z)))) (+.f64 (*.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) (+.f64 x (*.f64 y #s(literal 3/4 binary64)))) (*.f64 z (+.f64 x (+.f64 (*.f64 y #s(literal 3/4 binary64)) z)))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (*.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) (+.f64 x (*.f64 y #s(literal 3/4 binary64)))) (*.f64 z z))) (+.f64 x (+.f64 (*.f64 y #s(literal 3/4 binary64)) z)))
(/.f64 (*.f64 (-.f64 (*.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) (*.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) (+.f64 x (*.f64 y #s(literal 3/4 binary64))))) (*.f64 z (*.f64 z z))) #s(literal 4 binary64)) (+.f64 (*.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) (+.f64 x (*.f64 y #s(literal 3/4 binary64)))) (*.f64 z (+.f64 x (+.f64 (*.f64 y #s(literal 3/4 binary64)) z)))))
(/.f64 (*.f64 (-.f64 (*.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) (+.f64 x (*.f64 y #s(literal 3/4 binary64)))) (*.f64 z z)) #s(literal 4 binary64)) (+.f64 x (+.f64 (*.f64 y #s(literal 3/4 binary64)) z)))
(/.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (-.f64 (*.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) (*.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) (+.f64 x (*.f64 y #s(literal 3/4 binary64))))) (*.f64 z (*.f64 z z))))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) (+.f64 x (*.f64 y #s(literal 3/4 binary64)))) (*.f64 z (+.f64 x (+.f64 (*.f64 y #s(literal 3/4 binary64)) z))))))
(/.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (-.f64 (*.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) (+.f64 x (*.f64 y #s(literal 3/4 binary64)))) (*.f64 z z)))) (+.f64 (*.f64 y #s(literal -3/4 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 x z))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) (*.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) (+.f64 x (*.f64 y #s(literal 3/4 binary64))))) (*.f64 z (*.f64 z z))) #s(literal 4 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) (+.f64 x (*.f64 y #s(literal 3/4 binary64)))) (*.f64 z (+.f64 x (+.f64 (*.f64 y #s(literal 3/4 binary64)) z))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) (+.f64 x (*.f64 y #s(literal 3/4 binary64)))) (*.f64 z z)) #s(literal 4 binary64))) (+.f64 (*.f64 y #s(literal -3/4 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 x z))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (-.f64 (*.f64 y #s(literal 3/4 binary64)) z)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 #s(literal 4 binary64) x)) (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 (*.f64 y #s(literal 3/4 binary64)) z)) (*.f64 #s(literal 4 binary64) (-.f64 (*.f64 y #s(literal 3/4 binary64)) z))) (*.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 #s(literal 4 binary64) (-.f64 (*.f64 y #s(literal 3/4 binary64)) z))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (+.f64 x (*.f64 y #s(literal 3/4 binary64)))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (*.f64 #s(literal 4 binary64) z)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) (+.f64 x (*.f64 y #s(literal 3/4 binary64)))) (*.f64 #s(literal 4 binary64) (+.f64 x (*.f64 y #s(literal 3/4 binary64))))) (-.f64 (*.f64 (neg.f64 (*.f64 #s(literal 4 binary64) z)) (neg.f64 (*.f64 #s(literal 4 binary64) z))) (*.f64 (*.f64 #s(literal 4 binary64) (+.f64 x (*.f64 y #s(literal 3/4 binary64)))) (neg.f64 (*.f64 #s(literal 4 binary64) z))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 (*.f64 y #s(literal 3/4 binary64)) z) #s(literal 4 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x #s(literal 4 binary64)) (*.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 y #s(literal 3/4 binary64)) z) #s(literal 4 binary64)) (*.f64 (-.f64 (*.f64 y #s(literal 3/4 binary64)) z) #s(literal 4 binary64))) (*.f64 (*.f64 x #s(literal 4 binary64)) (*.f64 (-.f64 (*.f64 y #s(literal 3/4 binary64)) z) #s(literal 4 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 0 binary64) z) #s(literal 4 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) #s(literal 4 binary64)) (*.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) z) #s(literal 4 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) z) #s(literal 4 binary64))) (*.f64 (*.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) #s(literal 4 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) z) #s(literal 4 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 #s(literal 4 binary64) x)) (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 (*.f64 y #s(literal 3/4 binary64)) z)) (*.f64 #s(literal 4 binary64) (-.f64 (*.f64 y #s(literal 3/4 binary64)) z)))) (-.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 #s(literal 4 binary64) (-.f64 (*.f64 y #s(literal 3/4 binary64)) z))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (+.f64 x (*.f64 y #s(literal 3/4 binary64)))) (*.f64 #s(literal 4 binary64) (+.f64 x (*.f64 y #s(literal 3/4 binary64))))) (*.f64 (neg.f64 (*.f64 #s(literal 4 binary64) z)) (neg.f64 (*.f64 #s(literal 4 binary64) z)))) (-.f64 (*.f64 #s(literal 4 binary64) (+.f64 x (*.f64 y #s(literal 3/4 binary64)))) (neg.f64 (*.f64 #s(literal 4 binary64) z))))
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 4 binary64)) (*.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 (-.f64 (*.f64 y #s(literal 3/4 binary64)) z) #s(literal 4 binary64)) (*.f64 (-.f64 (*.f64 y #s(literal 3/4 binary64)) z) #s(literal 4 binary64)))) (-.f64 (*.f64 x #s(literal 4 binary64)) (*.f64 (-.f64 (*.f64 y #s(literal 3/4 binary64)) z) #s(literal 4 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) #s(literal 4 binary64)) (*.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) #s(literal 4 binary64))) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) z) #s(literal 4 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) z) #s(literal 4 binary64)))) (-.f64 (*.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) #s(literal 4 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) z) #s(literal 4 binary64))))
(*.f64 #s(literal 4 binary64) (+.f64 x (-.f64 (*.f64 y #s(literal 3/4 binary64)) z)))
(*.f64 (+.f64 x (-.f64 (*.f64 y #s(literal 3/4 binary64)) z)) #s(literal 4 binary64))
(*.f64 (*.f64 #s(literal 4 binary64) (+.f64 x (-.f64 (*.f64 y #s(literal 3/4 binary64)) z))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (+.f64 x (-.f64 (*.f64 y #s(literal 3/4 binary64)) z))))
(*.f64 #s(literal -4 binary64) (+.f64 (*.f64 y #s(literal -3/4 binary64)) (-.f64 #s(literal 0 binary64) (-.f64 x z))))
(*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x (-.f64 (*.f64 y #s(literal 3/4 binary64)) z)) #s(literal -4 binary64)))
(*.f64 (+.f64 (*.f64 y #s(literal -3/4 binary64)) (-.f64 #s(literal 0 binary64) (-.f64 x z))) #s(literal -4 binary64))
(*.f64 (*.f64 #s(literal 4 binary64) (-.f64 (*.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) (*.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) (+.f64 x (*.f64 y #s(literal 3/4 binary64))))) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) (+.f64 x (*.f64 y #s(literal 3/4 binary64)))) (*.f64 z (+.f64 x (+.f64 (*.f64 y #s(literal 3/4 binary64)) z))))))
(*.f64 (*.f64 #s(literal 4 binary64) (-.f64 (*.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) (+.f64 x (*.f64 y #s(literal 3/4 binary64)))) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 (*.f64 y #s(literal 3/4 binary64)) z))))
(*.f64 (*.f64 (-.f64 (*.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) (*.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) (+.f64 x (*.f64 y #s(literal 3/4 binary64))))) (*.f64 z (*.f64 z z))) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) (+.f64 x (*.f64 y #s(literal 3/4 binary64)))) (*.f64 z (+.f64 x (+.f64 (*.f64 y #s(literal 3/4 binary64)) z))))))
(*.f64 (*.f64 (-.f64 (*.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) (+.f64 x (*.f64 y #s(literal 3/4 binary64)))) (*.f64 z z)) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 (*.f64 y #s(literal 3/4 binary64)) z))))

simplify639.0ms (8.4%)

Algorithm
egg-herbie
Rules
10286×accelerator-lowering-fma.f32
10286×accelerator-lowering-fma.f64
4702×*-lowering-*.f32
4702×*-lowering-*.f64
1274×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02022259
16192259
217861931
353821901
083261762
Stop Event
iter limit
node limit
Counts
276 → 276
Calls
Call 1
Inputs
(* 3/4 y)
(+ x (* 3/4 y))
(+ x (* 3/4 y))
(+ x (* 3/4 y))
x
(* x (+ 1 (* 3/4 (/ y x))))
(* x (+ 1 (* 3/4 (/ y x))))
(* x (+ 1 (* 3/4 (/ y x))))
x
(* -1 (* x (- (* -3/4 (/ y x)) 1)))
(* -1 (* x (- (* -3/4 (/ y x)) 1)))
(* -1 (* x (- (* -3/4 (/ y x)) 1)))
x
(+ x (* 3/4 y))
(+ x (* 3/4 y))
(+ x (* 3/4 y))
(* 3/4 y)
(* y (+ 3/4 (/ x y)))
(* y (+ 3/4 (/ x y)))
(* y (+ 3/4 (/ x y)))
(* 3/4 y)
(* -1 (* y (- (* -1 (/ x y)) 3/4)))
(* -1 (* y (- (* -1 (/ x y)) 3/4)))
(* -1 (* y (- (* -1 (/ x y)) 3/4)))
(* 4 (/ (- (* 3/4 y) z) y))
(+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))
(+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))
(+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))
(* 4 (/ x y))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))
(* 4 (/ x y))
(* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))))
(* 4 (/ (- x z) y))
(/ (+ (* 3 y) (* 4 (- x z))) y)
(/ (+ (* 3 y) (* 4 (- x z))) y)
(/ (+ (* 3 y) (* 4 (- x z))) y)
3
(+ 3 (* 4 (/ (- x z) y)))
(+ 3 (* 4 (/ (- x z) y)))
(+ 3 (* 4 (/ (- x z) y)))
3
(+ 3 (* 4 (/ (- x z) y)))
(+ 3 (* 4 (/ (- x z) y)))
(+ 3 (* 4 (/ (- x z) y)))
(* 4 (/ (+ x (* 3/4 y)) y))
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))
(* -4 (/ z y))
(* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y))))
(* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y))))
(* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y))))
(* -4 (/ z y))
(* -1 (* z (+ (* -4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))))
(- (* 3/4 y) z)
(- (+ x (* 3/4 y)) z)
(- (+ x (* 3/4 y)) z)
(- (+ x (* 3/4 y)) z)
x
(* x (- (+ 1 (* 3/4 (/ y x))) (/ z x)))
(* x (- (+ 1 (* 3/4 (/ y x))) (/ z x)))
(* x (- (+ 1 (* 3/4 (/ y x))) (/ z x)))
x
(* -1 (* x (- (* -1 (/ (- (* 3/4 y) z) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* 3/4 y) z) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* 3/4 y) z) x)) 1)))
(- x z)
(- (+ x (* 3/4 y)) z)
(- (+ x (* 3/4 y)) z)
(- (+ x (* 3/4 y)) z)
(* 3/4 y)
(* y (- (+ 3/4 (/ x y)) (/ z y)))
(* y (- (+ 3/4 (/ x y)) (/ z y)))
(* y (- (+ 3/4 (/ x y)) (/ z y)))
(* 3/4 y)
(* -1 (* y (- (* -1 (/ (- x z) y)) 3/4)))
(* -1 (* y (- (* -1 (/ (- x z) y)) 3/4)))
(* -1 (* y (- (* -1 (/ (- x z) y)) 3/4)))
(+ x (* 3/4 y))
(+ x (+ (* -1 z) (* 3/4 y)))
(+ x (+ (* -1 z) (* 3/4 y)))
(+ x (+ (* -1 z) (* 3/4 y)))
(* -1 z)
(* z (- (+ (* 3/4 (/ y z)) (/ x z)) 1))
(* z (- (+ (* 3/4 (/ y z)) (/ x z)) 1))
(* z (- (+ (* 3/4 (/ y z)) (/ x z)) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (+ x (* 3/4 y)) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ x (* 3/4 y)) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ x (* 3/4 y)) z)))))
(+ 1 (* 4 (/ (- (* 3/4 y) z) y)))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))
(* 4 (/ x y))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* 4 (/ x y))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* 4 (/ (- x z) y))
(/ (+ (* 4 y) (* 4 (- x z))) y)
(/ (+ (* 4 y) (* 4 (- x z))) y)
(/ (+ (* 4 y) (* 4 (- x z))) y)
4
(+ 4 (* 4 (/ (- x z) y)))
(+ 4 (* 4 (/ (- x z) y)))
(+ 4 (* 4 (/ (- x z) y)))
4
(+ 4 (* 4 (/ (- x z) y)))
(+ 4 (* 4 (/ (- x z) y)))
(+ 4 (* 4 (/ (- x z) y)))
(+ 1 (* 4 (/ (+ x (* 3/4 y)) y)))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))
(* -4 (/ z y))
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* -4 (/ z y))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -4 (/ z y))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(* 4 (/ x y))
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
(* 4 (/ x y))
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(* 4 (/ x y))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(* -4 (/ z y))
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(* -4 (/ z y))
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(+ 4 (* -4 (/ z y)))
(+ 4 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+ 4 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+ 4 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(* 4 (/ x y))
(* x (+ (* -4 (/ z (* x y))) (+ (* 4 (/ 1 x)) (* 4 (/ 1 y)))))
(* x (+ (* -4 (/ z (* x y))) (+ (* 4 (/ 1 x)) (* 4 (/ 1 y)))))
(* x (+ (* -4 (/ z (* x y))) (+ (* 4 (/ 1 x)) (* 4 (/ 1 y)))))
(* 4 (/ x y))
(* -1 (* x (- (* -1 (/ (+ 4 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 4 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 4 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(+ 4 (* 4 (/ x y)))
(+ 4 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+ 4 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+ 4 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(* -4 (/ z y))
(* z (- (+ (* 4 (/ x (* y z))) (* 4 (/ 1 z))) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ x (* y z))) (* 4 (/ 1 z))) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ x (* y z))) (* 4 (/ 1 z))) (* 4 (/ 1 y))))
(* -4 (/ z y))
(* -1 (* z (+ (* -1 (/ (+ 4 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 4 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 4 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))
(* 4 (/ (- x z) y))
(/ (+ (* 4 y) (* 4 (- x z))) y)
(/ (+ (* 4 y) (* 4 (- x z))) y)
(/ (+ (* 4 y) (* 4 (- x z))) y)
4
(+ 4 (* 4 (/ (- x z) y)))
(+ 4 (* 4 (/ (- x z) y)))
(+ 4 (* 4 (/ (- x z) y)))
4
(+ 4 (* 4 (/ (- x z) y)))
(+ 4 (* 4 (/ (- x z) y)))
(+ 4 (* 4 (/ (- x z) y)))
(* -1 z)
(- x z)
(- x z)
(- x z)
x
(* x (+ 1 (* -1 (/ z x))))
(* x (+ 1 (* -1 (/ z x))))
(* x (+ 1 (* -1 (/ z x))))
x
(* -1 (* x (- (/ z x) 1)))
(* -1 (* x (- (/ z x) 1)))
(* -1 (* x (- (/ z x) 1)))
x
(+ x (* -1 z))
(+ x (* -1 z))
(+ x (* -1 z))
(* -1 z)
(* z (- (/ x z) 1))
(* z (- (/ x z) 1))
(* z (- (/ x z) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(* 4 (- (* 3/4 y) z))
(+ (* 4 x) (* 4 (- (* 3/4 y) z)))
(+ (* 4 x) (* 4 (- (* 3/4 y) z)))
(+ (* 4 x) (* 4 (- (* 3/4 y) z)))
(* 4 x)
(* x (+ 4 (* 4 (/ (- (* 3/4 y) z) x))))
(* x (+ 4 (* 4 (/ (- (* 3/4 y) z) x))))
(* x (+ 4 (* 4 (/ (- (* 3/4 y) z) x))))
(* 4 x)
(* -1 (* x (- (* -4 (/ (- (* 3/4 y) z) x)) 4)))
(* -1 (* x (- (* -4 (/ (- (* 3/4 y) z) x)) 4)))
(* -1 (* x (- (* -4 (/ (- (* 3/4 y) z) x)) 4)))
(* 4 (- x z))
(+ (* 3 y) (* 4 (- x z)))
(+ (* 3 y) (* 4 (- x z)))
(+ (* 3 y) (* 4 (- x z)))
(* 3 y)
(* y (+ 3 (* 4 (/ (- x z) y))))
(* y (+ 3 (* 4 (/ (- x z) y))))
(* y (+ 3 (* 4 (/ (- x z) y))))
(* 3 y)
(* -1 (* y (- (* -4 (/ (- x z) y)) 3)))
(* -1 (* y (- (* -4 (/ (- x z) y)) 3)))
(* -1 (* y (- (* -4 (/ (- x z) y)) 3)))
(* 4 (+ x (* 3/4 y)))
(+ (* -4 z) (* 4 (+ x (* 3/4 y))))
(+ (* -4 z) (* 4 (+ x (* 3/4 y))))
(+ (* -4 z) (* 4 (+ x (* 3/4 y))))
(* -4 z)
(* z (- (* 4 (/ (+ x (* 3/4 y)) z)) 4))
(* z (- (* 4 (/ (+ x (* 3/4 y)) z)) 4))
(* z (- (* 4 (/ (+ x (* 3/4 y)) z)) 4))
(* -4 z)
(* -1 (* z (+ 4 (* -4 (/ (+ x (* 3/4 y)) z)))))
(* -1 (* z (+ 4 (* -4 (/ (+ x (* 3/4 y)) z)))))
(* -1 (* z (+ 4 (* -4 (/ (+ x (* 3/4 y)) z)))))
Outputs
(* 3/4 y)
(*.f64 #s(literal 3/4 binary64) y)
(+ x (* 3/4 y))
(+.f64 (*.f64 #s(literal 3/4 binary64) y) x)
(+ x (* 3/4 y))
(+.f64 (*.f64 #s(literal 3/4 binary64) y) x)
(+ x (* 3/4 y))
(+.f64 (*.f64 #s(literal 3/4 binary64) y) x)
x
(* x (+ 1 (* 3/4 (/ y x))))
(+.f64 (*.f64 #s(literal 3/4 binary64) y) x)
(* x (+ 1 (* 3/4 (/ y x))))
(+.f64 (*.f64 #s(literal 3/4 binary64) y) x)
(* x (+ 1 (* 3/4 (/ y x))))
(+.f64 (*.f64 #s(literal 3/4 binary64) y) x)
x
(* -1 (* x (- (* -3/4 (/ y x)) 1)))
(+.f64 (*.f64 #s(literal 3/4 binary64) y) x)
(* -1 (* x (- (* -3/4 (/ y x)) 1)))
(+.f64 (*.f64 #s(literal 3/4 binary64) y) x)
(* -1 (* x (- (* -3/4 (/ y x)) 1)))
(+.f64 (*.f64 #s(literal 3/4 binary64) y) x)
x
(+ x (* 3/4 y))
(+.f64 (*.f64 #s(literal 3/4 binary64) y) x)
(+ x (* 3/4 y))
(+.f64 (*.f64 #s(literal 3/4 binary64) y) x)
(+ x (* 3/4 y))
(+.f64 (*.f64 #s(literal 3/4 binary64) y) x)
(* 3/4 y)
(*.f64 #s(literal 3/4 binary64) y)
(* y (+ 3/4 (/ x y)))
(+.f64 (*.f64 #s(literal 3/4 binary64) y) x)
(* y (+ 3/4 (/ x y)))
(+.f64 (*.f64 #s(literal 3/4 binary64) y) x)
(* y (+ 3/4 (/ x y)))
(+.f64 (*.f64 #s(literal 3/4 binary64) y) x)
(* 3/4 y)
(*.f64 #s(literal 3/4 binary64) y)
(* -1 (* y (- (* -1 (/ x y)) 3/4)))
(+.f64 (*.f64 #s(literal 3/4 binary64) y) x)
(* -1 (* y (- (* -1 (/ x y)) 3/4)))
(+.f64 (*.f64 #s(literal 3/4 binary64) y) x)
(* -1 (* y (- (* -1 (/ x y)) 3/4)))
(+.f64 (*.f64 #s(literal 3/4 binary64) y) x)
(* 4 (/ (- (* 3/4 y) z) y))
(+.f64 #s(literal 3 binary64) (/.f64 (*.f64 z #s(literal -4 binary64)) y))
(+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))
(*.f64 #s(literal 4 binary64) (+.f64 #s(literal 3/4 binary64) (/.f64 (-.f64 x z) y)))
(+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))
(*.f64 #s(literal 4 binary64) (+.f64 #s(literal 3/4 binary64) (/.f64 (-.f64 x z) y)))
(+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))
(*.f64 #s(literal 4 binary64) (+.f64 #s(literal 3/4 binary64) (/.f64 (-.f64 x z) y)))
(* 4 (/ x y))
(/.f64 (*.f64 x #s(literal 4 binary64)) y)
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))
(*.f64 #s(literal 4 binary64) (+.f64 #s(literal 3/4 binary64) (/.f64 (-.f64 x z) y)))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))
(*.f64 #s(literal 4 binary64) (+.f64 #s(literal 3/4 binary64) (/.f64 (-.f64 x z) y)))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))
(*.f64 #s(literal 4 binary64) (+.f64 #s(literal 3/4 binary64) (/.f64 (-.f64 x z) y)))
(* 4 (/ x y))
(/.f64 (*.f64 x #s(literal 4 binary64)) y)
(* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))))
(*.f64 #s(literal 4 binary64) (+.f64 #s(literal 3/4 binary64) (/.f64 (-.f64 x z) y)))
(* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))))
(*.f64 #s(literal 4 binary64) (+.f64 #s(literal 3/4 binary64) (/.f64 (-.f64 x z) y)))
(* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))))
(*.f64 #s(literal 4 binary64) (+.f64 #s(literal 3/4 binary64) (/.f64 (-.f64 x z) y)))
(* 4 (/ (- x z) y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(/ (+ (* 3 y) (* 4 (- x z))) y)
(*.f64 #s(literal 4 binary64) (+.f64 #s(literal 3/4 binary64) (/.f64 (-.f64 x z) y)))
(/ (+ (* 3 y) (* 4 (- x z))) y)
(*.f64 #s(literal 4 binary64) (+.f64 #s(literal 3/4 binary64) (/.f64 (-.f64 x z) y)))
(/ (+ (* 3 y) (* 4 (- x z))) y)
(*.f64 #s(literal 4 binary64) (+.f64 #s(literal 3/4 binary64) (/.f64 (-.f64 x z) y)))
3
#s(literal 3 binary64)
(+ 3 (* 4 (/ (- x z) y)))
(+.f64 #s(literal 3 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y))
(+ 3 (* 4 (/ (- x z) y)))
(+.f64 #s(literal 3 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y))
(+ 3 (* 4 (/ (- x z) y)))
(+.f64 #s(literal 3 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y))
3
#s(literal 3 binary64)
(+ 3 (* 4 (/ (- x z) y)))
(+.f64 #s(literal 3 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y))
(+ 3 (* 4 (/ (- x z) y)))
(+.f64 #s(literal 3 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y))
(+ 3 (* 4 (/ (- x z) y)))
(+.f64 #s(literal 3 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y))
(* 4 (/ (+ x (* 3/4 y)) y))
(*.f64 #s(literal 4 binary64) (/.f64 (+.f64 (*.f64 #s(literal 3/4 binary64) y) x) y))
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))
(*.f64 #s(literal 4 binary64) (+.f64 #s(literal 3/4 binary64) (/.f64 (-.f64 x z) y)))
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))
(*.f64 #s(literal 4 binary64) (+.f64 #s(literal 3/4 binary64) (/.f64 (-.f64 x z) y)))
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))
(*.f64 #s(literal 4 binary64) (+.f64 #s(literal 3/4 binary64) (/.f64 (-.f64 x z) y)))
(* -4 (/ z y))
(/.f64 (*.f64 z #s(literal -4 binary64)) y)
(* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y))))
(-.f64 (/.f64 (*.f64 z #s(literal -4 binary64)) y) (+.f64 #s(literal -3 binary64) (/.f64 (*.f64 x #s(literal -4 binary64)) y)))
(* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y))))
(-.f64 (/.f64 (*.f64 z #s(literal -4 binary64)) y) (+.f64 #s(literal -3 binary64) (/.f64 (*.f64 x #s(literal -4 binary64)) y)))
(* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y))))
(-.f64 (/.f64 (*.f64 z #s(literal -4 binary64)) y) (+.f64 #s(literal -3 binary64) (/.f64 (*.f64 x #s(literal -4 binary64)) y)))
(* -4 (/ z y))
(/.f64 (*.f64 z #s(literal -4 binary64)) y)
(* -1 (* z (+ (* -4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))))
(-.f64 (/.f64 (*.f64 z #s(literal -4 binary64)) y) (+.f64 #s(literal -3 binary64) (/.f64 (*.f64 x #s(literal -4 binary64)) y)))
(* -1 (* z (+ (* -4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))))
(-.f64 (/.f64 (*.f64 z #s(literal -4 binary64)) y) (+.f64 #s(literal -3 binary64) (/.f64 (*.f64 x #s(literal -4 binary64)) y)))
(* -1 (* z (+ (* -4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))))
(-.f64 (/.f64 (*.f64 z #s(literal -4 binary64)) y) (+.f64 #s(literal -3 binary64) (/.f64 (*.f64 x #s(literal -4 binary64)) y)))
(- (* 3/4 y) z)
(-.f64 (*.f64 #s(literal 3/4 binary64) y) z)
(- (+ x (* 3/4 y)) z)
(+.f64 (*.f64 #s(literal 3/4 binary64) y) (-.f64 x z))
(- (+ x (* 3/4 y)) z)
(+.f64 (*.f64 #s(literal 3/4 binary64) y) (-.f64 x z))
(- (+ x (* 3/4 y)) z)
(+.f64 (*.f64 #s(literal 3/4 binary64) y) (-.f64 x z))
x
(* x (- (+ 1 (* 3/4 (/ y x))) (/ z x)))
(+.f64 (*.f64 #s(literal 3/4 binary64) y) (-.f64 x z))
(* x (- (+ 1 (* 3/4 (/ y x))) (/ z x)))
(+.f64 (*.f64 #s(literal 3/4 binary64) y) (-.f64 x z))
(* x (- (+ 1 (* 3/4 (/ y x))) (/ z x)))
(+.f64 (*.f64 #s(literal 3/4 binary64) y) (-.f64 x z))
x
(* -1 (* x (- (* -1 (/ (- (* 3/4 y) z) x)) 1)))
(+.f64 (*.f64 #s(literal 3/4 binary64) y) (-.f64 x z))
(* -1 (* x (- (* -1 (/ (- (* 3/4 y) z) x)) 1)))
(+.f64 (*.f64 #s(literal 3/4 binary64) y) (-.f64 x z))
(* -1 (* x (- (* -1 (/ (- (* 3/4 y) z) x)) 1)))
(+.f64 (*.f64 #s(literal 3/4 binary64) y) (-.f64 x z))
(- x z)
(-.f64 x z)
(- (+ x (* 3/4 y)) z)
(+.f64 (*.f64 #s(literal 3/4 binary64) y) (-.f64 x z))
(- (+ x (* 3/4 y)) z)
(+.f64 (*.f64 #s(literal 3/4 binary64) y) (-.f64 x z))
(- (+ x (* 3/4 y)) z)
(+.f64 (*.f64 #s(literal 3/4 binary64) y) (-.f64 x z))
(* 3/4 y)
(*.f64 #s(literal 3/4 binary64) y)
(* y (- (+ 3/4 (/ x y)) (/ z y)))
(+.f64 x (*.f64 (-.f64 #s(literal 3/4 binary64) (/.f64 z y)) y))
(* y (- (+ 3/4 (/ x y)) (/ z y)))
(+.f64 x (*.f64 (-.f64 #s(literal 3/4 binary64) (/.f64 z y)) y))
(* y (- (+ 3/4 (/ x y)) (/ z y)))
(+.f64 x (*.f64 (-.f64 #s(literal 3/4 binary64) (/.f64 z y)) y))
(* 3/4 y)
(*.f64 #s(literal 3/4 binary64) y)
(* -1 (* y (- (* -1 (/ (- x z) y)) 3/4)))
(+.f64 x (*.f64 (-.f64 #s(literal 3/4 binary64) (/.f64 z y)) y))
(* -1 (* y (- (* -1 (/ (- x z) y)) 3/4)))
(+.f64 x (*.f64 (-.f64 #s(literal 3/4 binary64) (/.f64 z y)) y))
(* -1 (* y (- (* -1 (/ (- x z) y)) 3/4)))
(+.f64 x (*.f64 (-.f64 #s(literal 3/4 binary64) (/.f64 z y)) y))
(+ x (* 3/4 y))
(+.f64 (*.f64 #s(literal 3/4 binary64) y) x)
(+ x (+ (* -1 z) (* 3/4 y)))
(+.f64 (*.f64 #s(literal 3/4 binary64) y) (-.f64 x z))
(+ x (+ (* -1 z) (* 3/4 y)))
(+.f64 (*.f64 #s(literal 3/4 binary64) y) (-.f64 x z))
(+ x (+ (* -1 z) (* 3/4 y)))
(+.f64 (*.f64 #s(literal 3/4 binary64) y) (-.f64 x z))
(* -1 z)
(neg.f64 z)
(* z (- (+ (* 3/4 (/ y z)) (/ x z)) 1))
(+.f64 x (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 3/4 binary64) y) z))))
(* z (- (+ (* 3/4 (/ y z)) (/ x z)) 1))
(+.f64 x (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 3/4 binary64) y) z))))
(* z (- (+ (* 3/4 (/ y z)) (/ x z)) 1))
(+.f64 x (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 3/4 binary64) y) z))))
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -1 (/ (+ x (* 3/4 y)) z)))))
(+.f64 (*.f64 #s(literal 3/4 binary64) y) (-.f64 x z))
(* -1 (* z (+ 1 (* -1 (/ (+ x (* 3/4 y)) z)))))
(+.f64 (*.f64 #s(literal 3/4 binary64) y) (-.f64 x z))
(* -1 (* z (+ 1 (* -1 (/ (+ x (* 3/4 y)) z)))))
(+.f64 (*.f64 #s(literal 3/4 binary64) y) (-.f64 x z))
(+ 1 (* 4 (/ (- (* 3/4 y) z) y)))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 z #s(literal -4 binary64)) y))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y))
(* 4 (/ x y))
(/.f64 (*.f64 x #s(literal 4 binary64)) y)
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y))
(* 4 (/ x y))
(/.f64 (*.f64 x #s(literal 4 binary64)) y)
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(*.f64 x (-.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) z) y)) x)))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(*.f64 x (-.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) z) y)) x)))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(*.f64 x (-.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) z) y)) x)))
(* 4 (/ (- x z) y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(/ (+ (* 4 y) (* 4 (- x z))) y)
(/.f64 (*.f64 #s(literal 4 binary64) (+.f64 y (-.f64 x z))) y)
(/ (+ (* 4 y) (* 4 (- x z))) y)
(/.f64 (*.f64 #s(literal 4 binary64) (+.f64 y (-.f64 x z))) y)
(/ (+ (* 4 y) (* 4 (- x z))) y)
(/.f64 (*.f64 #s(literal 4 binary64) (+.f64 y (-.f64 x z))) y)
4
#s(literal 4 binary64)
(+ 4 (* 4 (/ (- x z) y)))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y))
(+ 4 (* 4 (/ (- x z) y)))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y))
(+ 4 (* 4 (/ (- x z) y)))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y))
4
#s(literal 4 binary64)
(+ 4 (* 4 (/ (- x z) y)))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y))
(+ 4 (* 4 (/ (- x z) y)))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y))
(+ 4 (* 4 (/ (- x z) y)))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y))
(+ 1 (* 4 (/ (+ x (* 3/4 y)) y)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (+.f64 (*.f64 #s(literal 3/4 binary64) y) x) y)))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y))
(* -4 (/ z y))
(/.f64 (*.f64 z #s(literal -4 binary64)) y)
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 z #s(literal -4 binary64)) y) (+.f64 #s(literal -3 binary64) (/.f64 (*.f64 x #s(literal -4 binary64)) y))))
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 z #s(literal -4 binary64)) y) (+.f64 #s(literal -3 binary64) (/.f64 (*.f64 x #s(literal -4 binary64)) y))))
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 z #s(literal -4 binary64)) y) (+.f64 #s(literal -3 binary64) (/.f64 (*.f64 x #s(literal -4 binary64)) y))))
(* -4 (/ z y))
(/.f64 (*.f64 z #s(literal -4 binary64)) y)
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y))
(* -4 (/ z y))
(/.f64 (*.f64 z #s(literal -4 binary64)) y)
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* 4 (/ x y))
(/.f64 (*.f64 x #s(literal 4 binary64)) y)
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* 4 (/ x y))
(/.f64 (*.f64 x #s(literal 4 binary64)) y)
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* 4 (/ x y))
(/.f64 (*.f64 x #s(literal 4 binary64)) y)
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* -4 (/ z y))
(/.f64 (*.f64 z #s(literal -4 binary64)) y)
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* -4 (/ z y))
(/.f64 (*.f64 z #s(literal -4 binary64)) y)
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* 4 (/ (- x z) y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* 4 (/ (- x z) y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* 4 (/ (- x z) y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* 4 (/ (- x z) y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* 4 (/ (- x z) y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* 4 (/ (- x z) y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* 4 (/ (- x z) y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* 4 (/ (- x z) y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* 4 (/ (- x z) y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* 4 (/ (- x z) y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* 4 (/ (- x z) y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* 4 (/ (- x z) y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(+ 4 (* -4 (/ z y)))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 z #s(literal -4 binary64)) y))
(+ 4 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y))
(+ 4 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y))
(+ 4 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y))
(* 4 (/ x y))
(/.f64 (*.f64 x #s(literal 4 binary64)) y)
(* x (+ (* -4 (/ z (* x y))) (+ (* 4 (/ 1 x)) (* 4 (/ 1 y)))))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y))
(* x (+ (* -4 (/ z (* x y))) (+ (* 4 (/ 1 x)) (* 4 (/ 1 y)))))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y))
(* x (+ (* -4 (/ z (* x y))) (+ (* 4 (/ 1 x)) (* 4 (/ 1 y)))))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y))
(* 4 (/ x y))
(/.f64 (*.f64 x #s(literal 4 binary64)) y)
(* -1 (* x (- (* -1 (/ (+ 4 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(*.f64 x (-.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) z) y)) x)))
(* -1 (* x (- (* -1 (/ (+ 4 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(*.f64 x (-.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) z) y)) x)))
(* -1 (* x (- (* -1 (/ (+ 4 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(*.f64 x (-.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) z) y)) x)))
(+ 4 (* 4 (/ x y)))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 x #s(literal 4 binary64)) y))
(+ 4 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y))
(+ 4 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y))
(+ 4 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y))
(* -4 (/ z y))
(/.f64 (*.f64 z #s(literal -4 binary64)) y)
(* z (- (+ (* 4 (/ x (* y z))) (* 4 (/ 1 z))) (* 4 (/ 1 y))))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y))
(* z (- (+ (* 4 (/ x (* y z))) (* 4 (/ 1 z))) (* 4 (/ 1 y))))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y))
(* z (- (+ (* 4 (/ x (* y z))) (* 4 (/ 1 z))) (* 4 (/ 1 y))))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y))
(* -4 (/ z y))
(/.f64 (*.f64 z #s(literal -4 binary64)) y)
(* -1 (* z (+ (* -1 (/ (+ 4 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y))
(* -1 (* z (+ (* -1 (/ (+ 4 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y))
(* -1 (* z (+ (* -1 (/ (+ 4 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y))
(* 4 (/ (- x z) y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(/ (+ (* 4 y) (* 4 (- x z))) y)
(/.f64 (*.f64 #s(literal 4 binary64) (+.f64 y (-.f64 x z))) y)
(/ (+ (* 4 y) (* 4 (- x z))) y)
(/.f64 (*.f64 #s(literal 4 binary64) (+.f64 y (-.f64 x z))) y)
(/ (+ (* 4 y) (* 4 (- x z))) y)
(/.f64 (*.f64 #s(literal 4 binary64) (+.f64 y (-.f64 x z))) y)
4
#s(literal 4 binary64)
(+ 4 (* 4 (/ (- x z) y)))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y))
(+ 4 (* 4 (/ (- x z) y)))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y))
(+ 4 (* 4 (/ (- x z) y)))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y))
4
#s(literal 4 binary64)
(+ 4 (* 4 (/ (- x z) y)))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y))
(+ 4 (* 4 (/ (- x z) y)))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y))
(+ 4 (* 4 (/ (- x z) y)))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y))
(* -1 z)
(neg.f64 z)
(- x z)
(-.f64 x z)
(- x z)
(-.f64 x z)
(- x z)
(-.f64 x z)
x
(* x (+ 1 (* -1 (/ z x))))
(-.f64 x z)
(* x (+ 1 (* -1 (/ z x))))
(-.f64 x z)
(* x (+ 1 (* -1 (/ z x))))
(-.f64 x z)
x
(* -1 (* x (- (/ z x) 1)))
(-.f64 x z)
(* -1 (* x (- (/ z x) 1)))
(-.f64 x z)
(* -1 (* x (- (/ z x) 1)))
(-.f64 x z)
x
(+ x (* -1 z))
(-.f64 x z)
(+ x (* -1 z))
(-.f64 x z)
(+ x (* -1 z))
(-.f64 x z)
(* -1 z)
(neg.f64 z)
(* z (- (/ x z) 1))
(-.f64 x z)
(* z (- (/ x z) 1))
(-.f64 x z)
(* z (- (/ x z) 1))
(-.f64 x z)
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(-.f64 x z)
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(-.f64 x z)
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(-.f64 x z)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(* 4 (- (* 3/4 y) z))
(+.f64 (*.f64 z #s(literal -4 binary64)) (*.f64 y #s(literal 3 binary64)))
(+ (* 4 x) (* 4 (- (* 3/4 y) z)))
(+.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 #s(literal 4 binary64) (-.f64 x z)))
(+ (* 4 x) (* 4 (- (* 3/4 y) z)))
(+.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 #s(literal 4 binary64) (-.f64 x z)))
(+ (* 4 x) (* 4 (- (* 3/4 y) z)))
(+.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 #s(literal 4 binary64) (-.f64 x z)))
(* 4 x)
(*.f64 x #s(literal 4 binary64))
(* x (+ 4 (* 4 (/ (- (* 3/4 y) z) x))))
(+.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 #s(literal 4 binary64) (-.f64 x z)))
(* x (+ 4 (* 4 (/ (- (* 3/4 y) z) x))))
(+.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 #s(literal 4 binary64) (-.f64 x z)))
(* x (+ 4 (* 4 (/ (- (* 3/4 y) z) x))))
(+.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 #s(literal 4 binary64) (-.f64 x z)))
(* 4 x)
(*.f64 x #s(literal 4 binary64))
(* -1 (* x (- (* -4 (/ (- (* 3/4 y) z) x)) 4)))
(+.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 #s(literal 4 binary64) (-.f64 x z)))
(* -1 (* x (- (* -4 (/ (- (* 3/4 y) z) x)) 4)))
(+.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 #s(literal 4 binary64) (-.f64 x z)))
(* -1 (* x (- (* -4 (/ (- (* 3/4 y) z) x)) 4)))
(+.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 #s(literal 4 binary64) (-.f64 x z)))
(* 4 (- x z))
(*.f64 #s(literal 4 binary64) (-.f64 x z))
(+ (* 3 y) (* 4 (- x z)))
(+.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 #s(literal 4 binary64) (-.f64 x z)))
(+ (* 3 y) (* 4 (- x z)))
(+.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 #s(literal 4 binary64) (-.f64 x z)))
(+ (* 3 y) (* 4 (- x z)))
(+.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 #s(literal 4 binary64) (-.f64 x z)))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* y (+ 3 (* 4 (/ (- x z) y))))
(+.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 #s(literal 4 binary64) (-.f64 x z)))
(* y (+ 3 (* 4 (/ (- x z) y))))
(+.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 #s(literal 4 binary64) (-.f64 x z)))
(* y (+ 3 (* 4 (/ (- x z) y))))
(+.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 #s(literal 4 binary64) (-.f64 x z)))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* -1 (* y (- (* -4 (/ (- x z) y)) 3)))
(+.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 #s(literal 4 binary64) (-.f64 x z)))
(* -1 (* y (- (* -4 (/ (- x z) y)) 3)))
(+.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 #s(literal 4 binary64) (-.f64 x z)))
(* -1 (* y (- (* -4 (/ (- x z) y)) 3)))
(+.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 #s(literal 4 binary64) (-.f64 x z)))
(* 4 (+ x (* 3/4 y)))
(+.f64 (*.f64 x #s(literal 4 binary64)) (*.f64 y #s(literal 3 binary64)))
(+ (* -4 z) (* 4 (+ x (* 3/4 y))))
(+.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 #s(literal 4 binary64) (-.f64 x z)))
(+ (* -4 z) (* 4 (+ x (* 3/4 y))))
(+.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 #s(literal 4 binary64) (-.f64 x z)))
(+ (* -4 z) (* 4 (+ x (* 3/4 y))))
(+.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 #s(literal 4 binary64) (-.f64 x z)))
(* -4 z)
(*.f64 z #s(literal -4 binary64))
(* z (- (* 4 (/ (+ x (* 3/4 y)) z)) 4))
(+.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 #s(literal 4 binary64) (-.f64 x z)))
(* z (- (* 4 (/ (+ x (* 3/4 y)) z)) 4))
(+.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 #s(literal 4 binary64) (-.f64 x z)))
(* z (- (* 4 (/ (+ x (* 3/4 y)) z)) 4))
(+.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 #s(literal 4 binary64) (-.f64 x z)))
(* -4 z)
(*.f64 z #s(literal -4 binary64))
(* -1 (* z (+ 4 (* -4 (/ (+ x (* 3/4 y)) z)))))
(+.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 #s(literal 4 binary64) (-.f64 x z)))
(* -1 (* z (+ 4 (* -4 (/ (+ x (* 3/4 y)) z)))))
(+.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 #s(literal 4 binary64) (-.f64 x z)))
(* -1 (* z (+ 4 (* -4 (/ (+ x (* 3/4 y)) z)))))
(+.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 #s(literal 4 binary64) (-.f64 x z)))

eval185.0ms (2.4%)

Compiler

Compiled 17232 to 9860 computations (42.8% saved)

prune162.0ms (2.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New7636769
Fresh000
Picked202
Done000
Total7656771
Accuracy
100.0%
Counts
771 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
32.7%
(/.f64 (*.f64 z #s(literal -4 binary64)) y)
36.8%
(/.f64 (*.f64 x #s(literal 4 binary64)) y)
64.4%
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
67.0%
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 z #s(literal -4 binary64)) y))
71.5%
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 x #s(literal 4 binary64)) y))
36.2%
#s(literal 4 binary64)
Compiler

Compiled 100 to 78 computations (22% saved)

localize143.0ms (1.9%)

Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 z #s(literal -4 binary64))
cost-diff0
(/.f64 (*.f64 z #s(literal -4 binary64)) y)
cost-diff0
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 z #s(literal -4 binary64)) y))
cost-diff0
(*.f64 z #s(literal -4 binary64))
cost-diff0
(/.f64 (*.f64 z #s(literal -4 binary64)) y)
cost-diff0
(*.f64 x #s(literal 4 binary64))
cost-diff0
(/.f64 (*.f64 x #s(literal 4 binary64)) y)
cost-diff0
(*.f64 x #s(literal 4 binary64))
cost-diff0
(/.f64 (*.f64 x #s(literal 4 binary64)) y)
cost-diff0
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 x #s(literal 4 binary64)) y))
accuracy100.0%
(/.f64 (*.f64 z #s(literal -4 binary64)) y)
accuracy100.0%
(*.f64 z #s(literal -4 binary64))
accuracy100.0%
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 z #s(literal -4 binary64)) y))
accuracy100.0%
(/.f64 (*.f64 z #s(literal -4 binary64)) y)
accuracy100.0%
(*.f64 z #s(literal -4 binary64))
accuracy100.0%
(/.f64 (*.f64 x #s(literal 4 binary64)) y)
accuracy100.0%
(*.f64 x #s(literal 4 binary64))
accuracy100.0%
(/.f64 (*.f64 x #s(literal 4 binary64)) y)
accuracy100.0%
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 x #s(literal 4 binary64)) y))
accuracy100.0%
(*.f64 x #s(literal 4 binary64))
Rules
28×*-lowering-*.f32
28×*-lowering-*.f64
16×accelerator-lowering-fma.f32
16×accelerator-lowering-fma.f64
14×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01135
11935
22535
32735
43035
53435
63635
03633
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(+ 4 (/ (* x 4) y))
4
(/ (* x 4) y)
(* x 4)
x
y
(/ (* z -4) y)
(* z -4)
z
-4
(+ 4 (/ (* z -4) y))
Outputs
(+ 4 (/ (* x 4) y))
(+.f64 #s(literal 4 binary64) (*.f64 x (/.f64 #s(literal 4 binary64) y)))
4
#s(literal 4 binary64)
(/ (* x 4) y)
(*.f64 x (/.f64 #s(literal 4 binary64) y))
(* x 4)
(*.f64 #s(literal 4 binary64) x)
x
y
(/ (* z -4) y)
(*.f64 z (/.f64 #s(literal -4 binary64) y))
(* z -4)
(*.f64 z #s(literal -4 binary64))
z
-4
#s(literal -4 binary64)
(+ 4 (/ (* z -4) y))
(+.f64 #s(literal 4 binary64) (*.f64 z (/.f64 #s(literal -4 binary64) y)))
Results
63.0ms256×0valid
Compiler

Compiled 64 to 40 computations (37.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-mult: 18.0ms (49.5% of total)
ival-div: 13.0ms (35.7% of total)
ival-add: 3.0ms (8.2% of total)
const: 2.0ms (5.5% of total)
backward-pass: 0.0ms (0% of total)

series35.0ms (0.5%)

Counts
6 → 120
Calls
Call 1
Inputs
#<alt (* x 4)>
#<alt (+ 4 (/ (* x 4) y))>
#<alt (/ (* x 4) y)>
#<alt (* z -4)>
#<alt (/ (* z -4) y)>
#<alt (+ 4 (/ (* z -4) y))>
Outputs
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt 4>
#<alt (+ 4 (* 4 (/ x y)))>
#<alt (+ 4 (* 4 (/ x y)))>
#<alt (+ 4 (* 4 (/ x y)))>
#<alt (* 4 (/ x y))>
#<alt (* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y))))>
#<alt (* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y))))>
#<alt (* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y))))>
#<alt (* 4 (/ x y))>
#<alt (* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x))))>
#<alt (* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x))))>
#<alt (* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x))))>
#<alt (* 4 (/ x y))>
#<alt (/ (+ (* 4 x) (* 4 y)) y)>
#<alt (/ (+ (* 4 x) (* 4 y)) y)>
#<alt (/ (+ (* 4 x) (* 4 y)) y)>
#<alt 4>
#<alt (+ 4 (* 4 (/ x y)))>
#<alt (+ 4 (* 4 (/ x y)))>
#<alt (+ 4 (* 4 (/ x y)))>
#<alt 4>
#<alt (+ 4 (* 4 (/ x y)))>
#<alt (+ 4 (* 4 (/ x y)))>
#<alt (+ 4 (* 4 (/ x y)))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* -4 z)>
#<alt (* -4 z)>
#<alt (* -4 z)>
#<alt (* -4 z)>
#<alt (* -4 z)>
#<alt (* -4 z)>
#<alt (* -4 z)>
#<alt (* -4 z)>
#<alt (* -4 z)>
#<alt (* -4 z)>
#<alt (* -4 z)>
#<alt (* -4 z)>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt 4>
#<alt (+ 4 (* -4 (/ z y)))>
#<alt (+ 4 (* -4 (/ z y)))>
#<alt (+ 4 (* -4 (/ z y)))>
#<alt (* -4 (/ z y))>
#<alt (* z (- (* 4 (/ 1 z)) (* 4 (/ 1 y))))>
#<alt (* z (- (* 4 (/ 1 z)) (* 4 (/ 1 y))))>
#<alt (* z (- (* 4 (/ 1 z)) (* 4 (/ 1 y))))>
#<alt (* -4 (/ z y))>
#<alt (* -1 (* z (- (* 4 (/ 1 y)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* z (- (* 4 (/ 1 y)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* z (- (* 4 (/ 1 y)) (* 4 (/ 1 z)))))>
#<alt (* -4 (/ z y))>
#<alt (/ (+ (* -4 z) (* 4 y)) y)>
#<alt (/ (+ (* -4 z) (* 4 y)) y)>
#<alt (/ (+ (* -4 z) (* 4 y)) y)>
#<alt 4>
#<alt (+ 4 (* -4 (/ z y)))>
#<alt (+ 4 (* -4 (/ z y)))>
#<alt (+ 4 (* -4 (/ z y)))>
#<alt 4>
#<alt (+ 4 (* -4 (/ z y)))>
#<alt (+ 4 (* -4 (/ z y)))>
#<alt (+ 4 (* -4 (/ z y)))>
Calls

30 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(/ (* x 4) y)
1.0ms
y
@inf
(/ (* z -4) y)
0.0ms
y
@0
(/ (* z -4) y)
0.0ms
x
@inf
(+ 4 (/ (* x 4) y))
0.0ms
z
@inf
(/ (* z -4) y)

rewrite652.0ms (8.5%)

Algorithm
batch-egg-rewrite
Rules
4356×*-lowering-*.f32
4356×*-lowering-*.f64
4284×accelerator-lowering-fma.f32
4284×accelerator-lowering-fma.f64
2490×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01130
15730
248130
3562930
0816928
Stop Event
iter limit
node limit
Counts
6 → 274
Calls
Call 1
Inputs
(* x 4)
(+ 4 (/ (* x 4) y))
(/ (* x 4) y)
(* z -4)
(/ (* z -4) y)
(+ 4 (/ (* z -4) y))
Outputs
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -4 binary64)))
(neg.f64 (*.f64 x #s(literal -4 binary64)))
(*.f64 x #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) x)
(*.f64 #s(literal 4 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(*.f64 #s(literal 4 binary64) (*.f64 x #s(literal 1 binary64)))
(*.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -4 binary64) (-.f64 #s(literal 0 binary64) x))
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x #s(literal -4 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -4 binary64))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 4 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))
(+.f64 #s(literal 4 binary64) (/.f64 x (/.f64 y #s(literal 4 binary64))))
(+.f64 (/.f64 x (/.f64 y #s(literal 4 binary64))) #s(literal 4 binary64))
(+.f64 (/.f64 #s(literal 16 binary64) (+.f64 #s(literal 4 binary64) (/.f64 (*.f64 x #s(literal -4 binary64)) y))) (neg.f64 (/.f64 (/.f64 (*.f64 x (*.f64 #s(literal 16 binary64) x)) (*.f64 y y)) (+.f64 #s(literal 4 binary64) (/.f64 (*.f64 x #s(literal -4 binary64)) y)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (/.f64 x (/.f64 y #s(literal 4 binary64)))))) #s(literal -1 binary64)))
(-.f64 #s(literal 4 binary64) (/.f64 (*.f64 x #s(literal -4 binary64)) y))
(-.f64 (/.f64 #s(literal 16 binary64) (+.f64 #s(literal 4 binary64) (/.f64 (*.f64 x #s(literal -4 binary64)) y))) (/.f64 (/.f64 (*.f64 x (*.f64 #s(literal 16 binary64) x)) (*.f64 y y)) (+.f64 #s(literal 4 binary64) (/.f64 (*.f64 x #s(literal -4 binary64)) y))))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 #s(literal 16 binary64) x)) (*.f64 y y)) (+.f64 (/.f64 x (/.f64 y #s(literal 4 binary64))) #s(literal -4 binary64))) (/.f64 #s(literal 16 binary64) (+.f64 (/.f64 x (/.f64 y #s(literal 4 binary64))) #s(literal -4 binary64))))
(fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal 4 binary64))
(fma.f64 x (*.f64 (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64)) #s(literal 4 binary64))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
(fma.f64 #s(literal 4 binary64) (*.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 4 binary64))
(fma.f64 #s(literal 4 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) y)) #s(literal 4 binary64))
(fma.f64 (*.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) y) #s(literal 4 binary64))
(fma.f64 (/.f64 x (/.f64 y #s(literal 4 binary64))) #s(literal 1 binary64) #s(literal 4 binary64))
(fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 #s(literal 0 binary64) x) y) #s(literal 4 binary64))
(fma.f64 #s(literal -4 binary64) (*.f64 x (/.f64 #s(literal -1 binary64) y)) #s(literal 4 binary64))
(fma.f64 #s(literal -4 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) y)) #s(literal 4 binary64))
(fma.f64 (*.f64 x #s(literal -4 binary64)) (/.f64 #s(literal -1 binary64) y) #s(literal 4 binary64))
(fma.f64 (*.f64 x #s(literal -4 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 4 binary64))
(fma.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (/.f64 (*.f64 x #s(literal -4 binary64)) y))) (neg.f64 (/.f64 (/.f64 (*.f64 x (*.f64 #s(literal 16 binary64) x)) (*.f64 y y)) (+.f64 #s(literal 4 binary64) (/.f64 (*.f64 x #s(literal -4 binary64)) y)))))
(fma.f64 #s(literal 1 binary64) (/.f64 x (/.f64 y #s(literal 4 binary64))) #s(literal 4 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) x)) #s(literal 4 binary64))
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 x #s(literal 1 binary64)) #s(literal 4 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 x #s(literal -4 binary64)) y) #s(literal 4 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x #s(literal -4 binary64)) #s(literal 4 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64))
(fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64))
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 4 binary64) y) #s(literal 4 binary64))
(fma.f64 (pow.f64 (/.f64 y (*.f64 x #s(literal 4 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (*.f64 x #s(literal 4 binary64))) #s(literal -1/2 binary64)) #s(literal 4 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 4 binary64) y) #s(literal 4 binary64))
(fma.f64 (/.f64 #s(literal 16 binary64) (+.f64 #s(literal 16 binary64) (/.f64 (*.f64 x (*.f64 #s(literal -16 binary64) x)) (*.f64 y y)))) (+.f64 #s(literal 4 binary64) (/.f64 x (/.f64 y #s(literal 4 binary64)))) (neg.f64 (/.f64 (/.f64 (*.f64 x (*.f64 #s(literal 16 binary64) x)) (*.f64 y y)) (+.f64 #s(literal 4 binary64) (/.f64 (*.f64 x #s(literal -4 binary64)) y)))))
(fma.f64 (/.f64 #s(literal 16 binary64) (+.f64 #s(literal 64 binary64) (/.f64 (*.f64 #s(literal 64 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))))) (+.f64 #s(literal 16 binary64) (*.f64 (/.f64 x (/.f64 y #s(literal 4 binary64))) (+.f64 #s(literal 4 binary64) (/.f64 x (/.f64 y #s(literal 4 binary64)))))) (neg.f64 (/.f64 (/.f64 (*.f64 x (*.f64 #s(literal 16 binary64) x)) (*.f64 y y)) (+.f64 #s(literal 4 binary64) (/.f64 (*.f64 x #s(literal -4 binary64)) y)))))
(neg.f64 (/.f64 (+.f64 #s(literal 64 binary64) (/.f64 (*.f64 #s(literal 64 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y)))) (+.f64 #s(literal -16 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 x (/.f64 y #s(literal 4 binary64))) #s(literal -4 binary64)) (/.f64 y (*.f64 x #s(literal 4 binary64))))))))
(neg.f64 (/.f64 (+.f64 #s(literal 16 binary64) (/.f64 (*.f64 x (*.f64 #s(literal -16 binary64) x)) (*.f64 y y))) (+.f64 #s(literal -4 binary64) (/.f64 x (/.f64 y #s(literal 4 binary64))))))
(neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal 64 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))) #s(literal -64 binary64)) (+.f64 #s(literal 16 binary64) (/.f64 (+.f64 (/.f64 x (/.f64 y #s(literal 4 binary64))) #s(literal -4 binary64)) (/.f64 y (*.f64 x #s(literal 4 binary64)))))))
(neg.f64 (/.f64 (+.f64 #s(literal -16 binary64) (/.f64 (*.f64 x (*.f64 #s(literal 16 binary64) x)) (*.f64 y y))) (+.f64 #s(literal 4 binary64) (/.f64 (*.f64 x #s(literal -4 binary64)) y))))
(/.f64 (+.f64 #s(literal 64 binary64) (/.f64 (*.f64 #s(literal 64 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y)))) (+.f64 #s(literal 16 binary64) (/.f64 (+.f64 (/.f64 x (/.f64 y #s(literal 4 binary64))) #s(literal -4 binary64)) (/.f64 y (*.f64 x #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (/.f64 x (/.f64 y #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (/.f64 x (/.f64 y #s(literal 4 binary64))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 x (/.f64 y #s(literal 4 binary64))) #s(literal -4 binary64)) (+.f64 (/.f64 (*.f64 x (*.f64 #s(literal 16 binary64) x)) (*.f64 y y)) #s(literal -16 binary64))))
(/.f64 (+.f64 #s(literal 16 binary64) (/.f64 (*.f64 x (*.f64 #s(literal -16 binary64) x)) (*.f64 y y))) (+.f64 #s(literal 4 binary64) (/.f64 (*.f64 x #s(literal -4 binary64)) y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (/.f64 x (/.f64 y #s(literal 4 binary64)))))))
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 64 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))) #s(literal -64 binary64)) (+.f64 #s(literal -16 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 x (/.f64 y #s(literal 4 binary64))) #s(literal -4 binary64)) (/.f64 y (*.f64 x #s(literal 4 binary64)))))))
(/.f64 (+.f64 #s(literal -16 binary64) (/.f64 (*.f64 x (*.f64 #s(literal 16 binary64) x)) (*.f64 y y))) (+.f64 #s(literal -4 binary64) (/.f64 x (/.f64 y #s(literal 4 binary64)))))
(/.f64 (+.f64 #s(literal 262144 binary64) (*.f64 (/.f64 (*.f64 #s(literal 64 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))) (/.f64 (/.f64 (*.f64 #s(literal 64 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 #s(literal 64 binary64) (*.f64 x (*.f64 x x))))))) (*.f64 (+.f64 #s(literal 16 binary64) (/.f64 (+.f64 (/.f64 x (/.f64 y #s(literal 4 binary64))) #s(literal -4 binary64)) (/.f64 y (*.f64 x #s(literal 4 binary64))))) (+.f64 #s(literal 4096 binary64) (*.f64 (/.f64 (*.f64 #s(literal 64 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))) (-.f64 (/.f64 (*.f64 #s(literal 64 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))) #s(literal 64 binary64))))))
(/.f64 (+.f64 #s(literal 4096 binary64) (/.f64 (/.f64 (*.f64 #s(literal 64 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 #s(literal 64 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 (+.f64 #s(literal 16 binary64) (/.f64 (+.f64 (/.f64 x (/.f64 y #s(literal 4 binary64))) #s(literal -4 binary64)) (/.f64 y (*.f64 x #s(literal 4 binary64))))) (+.f64 #s(literal 64 binary64) (/.f64 (*.f64 #s(literal 64 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))))))
(/.f64 (+.f64 #s(literal 4096 binary64) (/.f64 (/.f64 (*.f64 #s(literal 64 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 #s(literal 64 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 (+.f64 #s(literal 4 binary64) (/.f64 (*.f64 x #s(literal -4 binary64)) y)) (+.f64 #s(literal 256 binary64) (*.f64 (/.f64 (*.f64 x (*.f64 #s(literal 16 binary64) x)) (*.f64 y y)) (+.f64 #s(literal 16 binary64) (/.f64 (*.f64 x (*.f64 #s(literal 16 binary64) x)) (*.f64 y y)))))))
(/.f64 (+.f64 (/.f64 (*.f64 x (*.f64 #s(literal 16 binary64) x)) (*.f64 y y)) #s(literal -16 binary64)) (+.f64 (/.f64 x (/.f64 y #s(literal 4 binary64))) #s(literal -4 binary64)))
(/.f64 (-.f64 #s(literal 256 binary64) (/.f64 (/.f64 (*.f64 #s(literal 64 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))) (/.f64 y (*.f64 x #s(literal 4 binary64))))) (*.f64 (+.f64 #s(literal 4 binary64) (/.f64 (*.f64 x #s(literal -4 binary64)) y)) (+.f64 #s(literal 16 binary64) (/.f64 (*.f64 x (*.f64 #s(literal 16 binary64) x)) (*.f64 y y)))))
(/.f64 (-.f64 (*.f64 #s(literal 16 binary64) (+.f64 #s(literal 4 binary64) (/.f64 (*.f64 x #s(literal -4 binary64)) y))) (*.f64 (+.f64 #s(literal 4 binary64) (/.f64 (*.f64 x #s(literal -4 binary64)) y)) (/.f64 (*.f64 x (*.f64 #s(literal 16 binary64) x)) (*.f64 y y)))) (*.f64 (+.f64 #s(literal 4 binary64) (/.f64 (*.f64 x #s(literal -4 binary64)) y)) (+.f64 #s(literal 4 binary64) (/.f64 (*.f64 x #s(literal -4 binary64)) y))))
(/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 #s(literal 64 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))) #s(literal -64 binary64))) (neg.f64 (+.f64 #s(literal -16 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 x (/.f64 y #s(literal 4 binary64))) #s(literal -4 binary64)) (/.f64 y (*.f64 x #s(literal 4 binary64))))))))
(/.f64 (neg.f64 (+.f64 #s(literal -16 binary64) (/.f64 (*.f64 x (*.f64 #s(literal 16 binary64) x)) (*.f64 y y)))) (neg.f64 (+.f64 #s(literal -4 binary64) (/.f64 x (/.f64 y #s(literal 4 binary64))))))
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(*.f64 (/.f64 (-.f64 #s(literal 16 binary64) (/.f64 (*.f64 z (*.f64 #s(literal 16 binary64) z)) (*.f64 y y))) (+.f64 #s(literal 64 binary64) (/.f64 (*.f64 #s(literal 64 binary64) (*.f64 z (*.f64 z z))) (*.f64 y (*.f64 y y))))) (+.f64 #s(literal 16 binary64) (*.f64 (/.f64 (*.f64 z #s(literal -4 binary64)) y) (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) z) y)))))
(*.f64 (/.f64 (-.f64 #s(literal 16 binary64) (/.f64 (*.f64 z (*.f64 #s(literal 16 binary64) z)) (*.f64 y y))) (-.f64 #s(literal 16 binary64) (/.f64 (*.f64 z (*.f64 #s(literal 16 binary64) z)) (*.f64 y y)))) (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) z) y)))
(*.f64 (/.f64 (+.f64 #s(literal 64 binary64) (/.f64 (*.f64 #s(literal 64 binary64) (*.f64 z (*.f64 z z))) (*.f64 y (*.f64 y y)))) (+.f64 #s(literal 4096 binary64) (*.f64 (/.f64 (+.f64 (/.f64 (*.f64 z #s(literal -4 binary64)) y) #s(literal -4 binary64)) (/.f64 y (*.f64 z #s(literal -4 binary64)))) (*.f64 (/.f64 (*.f64 z (*.f64 #s(literal 16 binary64) z)) (*.f64 y y)) (*.f64 (+.f64 (/.f64 (*.f64 z #s(literal -4 binary64)) y) #s(literal -4 binary64)) (+.f64 (/.f64 (*.f64 z #s(literal -4 binary64)) y) #s(literal -4 binary64))))))) (+.f64 #s(literal 256 binary64) (*.f64 (/.f64 (+.f64 (/.f64 (*.f64 z #s(literal -4 binary64)) y) #s(literal -4 binary64)) (/.f64 y (*.f64 z #s(literal -4 binary64)))) (-.f64 (/.f64 (+.f64 (/.f64 (*.f64 z #s(literal -4 binary64)) y) #s(literal -4 binary64)) (/.f64 y (*.f64 z #s(literal -4 binary64)))) #s(literal 16 binary64)))))
(*.f64 (/.f64 (+.f64 #s(literal 64 binary64) (/.f64 (*.f64 #s(literal 64 binary64) (*.f64 z (*.f64 z z))) (*.f64 y (*.f64 y y)))) (-.f64 #s(literal 256 binary64) (*.f64 (/.f64 (*.f64 z (*.f64 #s(literal 16 binary64) z)) (*.f64 y y)) (*.f64 (+.f64 (/.f64 (*.f64 z #s(literal -4 binary64)) y) #s(literal -4 binary64)) (+.f64 (/.f64 (*.f64 z #s(literal -4 binary64)) y) #s(literal -4 binary64)))))) (+.f64 #s(literal 16 binary64) (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) z) y) (+.f64 (/.f64 (*.f64 z #s(literal -4 binary64)) y) #s(literal -4 binary64)))))

simplify179.0ms (2.3%)

Algorithm
egg-herbie
Rules
1536×accelerator-lowering-fma.f32
1536×accelerator-lowering-fma.f64
1092×div-sub
960×*-lowering-*.f32
960×*-lowering-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035600
189600
2187600
3439600
4736600
51080600
61596600
72044600
82709600
93620600
104349600
114799600
124799600
134799600
144817600
154843600
164845600
174845600
04845564
Stop Event
iter limit
saturated
Counts
120 → 120
Calls
Call 1
Inputs
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
4
(+ 4 (* 4 (/ x y)))
(+ 4 (* 4 (/ x y)))
(+ 4 (* 4 (/ x y)))
(* 4 (/ x y))
(* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y))))
(* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y))))
(* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y))))
(* 4 (/ x y))
(* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x))))
(* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x))))
(* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x))))
(* 4 (/ x y))
(/ (+ (* 4 x) (* 4 y)) y)
(/ (+ (* 4 x) (* 4 y)) y)
(/ (+ (* 4 x) (* 4 y)) y)
4
(+ 4 (* 4 (/ x y)))
(+ 4 (* 4 (/ x y)))
(+ 4 (* 4 (/ x y)))
4
(+ 4 (* 4 (/ x y)))
(+ 4 (* 4 (/ x y)))
(+ 4 (* 4 (/ x y)))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* -4 z)
(* -4 z)
(* -4 z)
(* -4 z)
(* -4 z)
(* -4 z)
(* -4 z)
(* -4 z)
(* -4 z)
(* -4 z)
(* -4 z)
(* -4 z)
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
4
(+ 4 (* -4 (/ z y)))
(+ 4 (* -4 (/ z y)))
(+ 4 (* -4 (/ z y)))
(* -4 (/ z y))
(* z (- (* 4 (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (* 4 (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (* 4 (/ 1 z)) (* 4 (/ 1 y))))
(* -4 (/ z y))
(* -1 (* z (- (* 4 (/ 1 y)) (* 4 (/ 1 z)))))
(* -1 (* z (- (* 4 (/ 1 y)) (* 4 (/ 1 z)))))
(* -1 (* z (- (* 4 (/ 1 y)) (* 4 (/ 1 z)))))
(* -4 (/ z y))
(/ (+ (* -4 z) (* 4 y)) y)
(/ (+ (* -4 z) (* 4 y)) y)
(/ (+ (* -4 z) (* 4 y)) y)
4
(+ 4 (* -4 (/ z y)))
(+ 4 (* -4 (/ z y)))
(+ 4 (* -4 (/ z y)))
4
(+ 4 (* -4 (/ z y)))
(+ 4 (* -4 (/ z y)))
(+ 4 (* -4 (/ z y)))
Outputs
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
4
#s(literal 4 binary64)
(+ 4 (* 4 (/ x y)))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) x) y))
(+ 4 (* 4 (/ x y)))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) x) y))
(+ 4 (* 4 (/ x y)))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) x) y))
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y))))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) x) y))
(* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y))))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) x) y))
(* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y))))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) x) y))
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x))))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) x) y))
(* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x))))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) x) y))
(* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x))))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) x) y))
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(/ (+ (* 4 x) (* 4 y)) y)
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) x) y))
(/ (+ (* 4 x) (* 4 y)) y)
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) x) y))
(/ (+ (* 4 x) (* 4 y)) y)
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) x) y))
4
#s(literal 4 binary64)
(+ 4 (* 4 (/ x y)))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) x) y))
(+ 4 (* 4 (/ x y)))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) x) y))
(+ 4 (* 4 (/ x y)))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) x) y))
4
#s(literal 4 binary64)
(+ 4 (* 4 (/ x y)))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) x) y))
(+ 4 (* 4 (/ x y)))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) x) y))
(+ 4 (* 4 (/ x y)))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) x) y))
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* -4 z)
(*.f64 #s(literal -4 binary64) z)
(* -4 z)
(*.f64 #s(literal -4 binary64) z)
(* -4 z)
(*.f64 #s(literal -4 binary64) z)
(* -4 z)
(*.f64 #s(literal -4 binary64) z)
(* -4 z)
(*.f64 #s(literal -4 binary64) z)
(* -4 z)
(*.f64 #s(literal -4 binary64) z)
(* -4 z)
(*.f64 #s(literal -4 binary64) z)
(* -4 z)
(*.f64 #s(literal -4 binary64) z)
(* -4 z)
(*.f64 #s(literal -4 binary64) z)
(* -4 z)
(*.f64 #s(literal -4 binary64) z)
(* -4 z)
(*.f64 #s(literal -4 binary64) z)
(* -4 z)
(*.f64 #s(literal -4 binary64) z)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
4
#s(literal 4 binary64)
(+ 4 (* -4 (/ z y)))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal -4 binary64) z) y))
(+ 4 (* -4 (/ z y)))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal -4 binary64) z) y))
(+ 4 (* -4 (/ z y)))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal -4 binary64) z) y))
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* z (- (* 4 (/ 1 z)) (* 4 (/ 1 y))))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal -4 binary64) z) y))
(* z (- (* 4 (/ 1 z)) (* 4 (/ 1 y))))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal -4 binary64) z) y))
(* z (- (* 4 (/ 1 z)) (* 4 (/ 1 y))))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal -4 binary64) z) y))
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -1 (* z (- (* 4 (/ 1 y)) (* 4 (/ 1 z)))))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal -4 binary64) z) y))
(* -1 (* z (- (* 4 (/ 1 y)) (* 4 (/ 1 z)))))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal -4 binary64) z) y))
(* -1 (* z (- (* 4 (/ 1 y)) (* 4 (/ 1 z)))))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal -4 binary64) z) y))
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(/ (+ (* -4 z) (* 4 y)) y)
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal -4 binary64) z) y))
(/ (+ (* -4 z) (* 4 y)) y)
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal -4 binary64) z) y))
(/ (+ (* -4 z) (* 4 y)) y)
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal -4 binary64) z) y))
4
#s(literal 4 binary64)
(+ 4 (* -4 (/ z y)))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal -4 binary64) z) y))
(+ 4 (* -4 (/ z y)))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal -4 binary64) z) y))
(+ 4 (* -4 (/ z y)))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal -4 binary64) z) y))
4
#s(literal 4 binary64)
(+ 4 (* -4 (/ z y)))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal -4 binary64) z) y))
(+ 4 (* -4 (/ z y)))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal -4 binary64) z) y))
(+ 4 (* -4 (/ z y)))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal -4 binary64) z) y))

eval180.0ms (2.4%)

Compiler

Compiled 7239 to 4758 computations (34.3% saved)

prune78.0ms (1%)

Pruning

8 alts after pruning (3 fresh and 5 done)

PrunedKeptTotal
New5802582
Fresh011
Picked055
Done000
Total5808588
Accuracy
100.0%
Counts
588 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
32.7%
(/.f64 (*.f64 z #s(literal -4 binary64)) y)
36.8%
(/.f64 (*.f64 x #s(literal 4 binary64)) y)
64.4%
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
67.0%
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 z #s(literal -4 binary64)) y))
71.5%
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 x #s(literal 4 binary64)) y))
36.8%
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
32.6%
(*.f64 (/.f64 #s(literal -4 binary64) y) z)
36.2%
#s(literal 4 binary64)
Compiler

Compiled 66 to 51 computations (22.7% saved)

localize286.0ms (3.7%)

Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 x z)
cost-diff0
(*.f64 #s(literal 4 binary64) (-.f64 x z))
cost-diff0
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
cost-diff0
(/.f64 #s(literal 4 binary64) y)
cost-diff0
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
cost-diff0
(/.f64 #s(literal -4 binary64) y)
cost-diff0
(*.f64 (/.f64 #s(literal -4 binary64) y) z)
accuracy100.0%
(-.f64 x z)
accuracy100.0%
(*.f64 #s(literal 4 binary64) (-.f64 x z))
accuracy100.0%
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
accuracy100.0%
(/.f64 #s(literal 4 binary64) y)
accuracy99.7%
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
accuracy100.0%
(/.f64 #s(literal -4 binary64) y)
accuracy99.7%
(*.f64 (/.f64 #s(literal -4 binary64) y) z)
Rules
784×accelerator-lowering-fma.f32
784×accelerator-lowering-fma.f64
496×*-lowering-*.f32
496×*-lowering-*.f64
264×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01236
12336
24436
36436
411036
518936
633036
752236
880236
9137436
10170936
11176136
12177636
13177736
14177736
0177736
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* (/ -4 y) z)
(/ -4 y)
-4
y
z
(* (/ 4 y) x)
(/ 4 y)
4
x
(/ (* 4 (- x z)) y)
(* 4 (- x z))
(- x z)
Outputs
(* (/ -4 y) z)
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
-4
#s(literal -4 binary64)
y
z
(* (/ 4 y) x)
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
4
#s(literal 4 binary64)
x
(/ (* 4 (- x z)) y)
(/.f64 (*.f64 #s(literal -4 binary64) (-.f64 z x)) y)
(* 4 (- x z))
(*.f64 #s(literal -4 binary64) (-.f64 z x))
(- x z)
(-.f64 x z)
Results
175.0ms256×0valid
Compiler

Compiled 45 to 23 computations (48.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 54.0ms
ival-sub: 32.0ms (59.3% of total)
ival-div: 13.0ms (24.1% of total)
ival-mult: 7.0ms (13% of total)
const: 1.0ms (1.9% of total)
backward-pass: 0.0ms (0% of total)

series11.0ms (0.1%)

Counts
7 → 156
Calls
Call 1
Inputs
#<alt (* (/ -4 y) z)>
#<alt (/ -4 y)>
#<alt (* (/ 4 y) x)>
#<alt (/ 4 y)>
#<alt (/ (* 4 (- x z)) y)>
#<alt (* 4 (- x z))>
#<alt (- x z)>
Outputs
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (/ -4 y)>
#<alt (/ -4 y)>
#<alt (/ -4 y)>
#<alt (/ -4 y)>
#<alt (/ -4 y)>
#<alt (/ -4 y)>
#<alt (/ -4 y)>
#<alt (/ -4 y)>
#<alt (/ -4 y)>
#<alt (/ -4 y)>
#<alt (/ -4 y)>
#<alt (/ -4 y)>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (* -4 (/ z y))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))>
#<alt (* 4 (/ x y))>
#<alt (* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))>
#<alt (* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))>
#<alt (* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))>
#<alt (* 4 (/ x y))>
#<alt (* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))>
#<alt (* 4 (/ x y))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))>
#<alt (* -4 (/ z y))>
#<alt (* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))>
#<alt (* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))>
#<alt (* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))>
#<alt (* -4 (/ z y))>
#<alt (* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* -4 z)>
#<alt (+ (* -4 z) (* 4 x))>
#<alt (+ (* -4 z) (* 4 x))>
#<alt (+ (* -4 z) (* 4 x))>
#<alt (* 4 x)>
#<alt (* x (+ 4 (* -4 (/ z x))))>
#<alt (* x (+ 4 (* -4 (/ z x))))>
#<alt (* x (+ 4 (* -4 (/ z x))))>
#<alt (* 4 x)>
#<alt (* -1 (* x (- (* 4 (/ z x)) 4)))>
#<alt (* -1 (* x (- (* 4 (/ z x)) 4)))>
#<alt (* -1 (* x (- (* 4 (/ z x)) 4)))>
#<alt (* 4 x)>
#<alt (+ (* -4 z) (* 4 x))>
#<alt (+ (* -4 z) (* 4 x))>
#<alt (+ (* -4 z) (* 4 x))>
#<alt (* -4 z)>
#<alt (* z (- (* 4 (/ x z)) 4))>
#<alt (* z (- (* 4 (/ x z)) 4))>
#<alt (* z (- (* 4 (/ x z)) 4))>
#<alt (* -4 z)>
#<alt (* -1 (* z (+ 4 (* -4 (/ x z)))))>
#<alt (* -1 (* z (+ 4 (* -4 (/ x z)))))>
#<alt (* -1 (* z (+ 4 (* -4 (/ x z)))))>
#<alt (* -1 z)>
#<alt (- x z)>
#<alt (- x z)>
#<alt (- x z)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ z x))))>
#<alt (* x (+ 1 (* -1 (/ z x))))>
#<alt (* x (+ 1 (* -1 (/ z x))))>
#<alt x>
#<alt (* -1 (* x (- (/ z x) 1)))>
#<alt (* -1 (* x (- (/ z x) 1)))>
#<alt (* -1 (* x (- (/ z x) 1)))>
#<alt x>
#<alt (+ x (* -1 z))>
#<alt (+ x (* -1 z))>
#<alt (+ x (* -1 z))>
#<alt (* -1 z)>
#<alt (* z (- (/ x z) 1))>
#<alt (* z (- (/ x z) 1))>
#<alt (* z (- (/ x z) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))>
Calls

39 calls:

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

rewrite499.0ms (6.5%)

Algorithm
batch-egg-rewrite
Rules
4334×/-lowering-/.f32
4334×/-lowering-/.f64
4030×*-lowering-*.f32
4030×*-lowering-*.f64
3672×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01231
15431
230831
3267531
0870031
Stop Event
iter limit
node limit
Counts
7 → 662
Calls
Call 1
Inputs
(* (/ -4 y) z)
(/ -4 y)
(* (/ 4 y) x)
(/ 4 y)
(/ (* 4 (- x z)) y)
(* 4 (- x z))
(- x z)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 #s(literal -4 binary64) z))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 (*.f64 z #s(literal 4 binary64)) y))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 y #s(literal 4 binary64))) (/.f64 z (/.f64 y #s(literal 4 binary64))))
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) z))
(neg.f64 (*.f64 z (/.f64 #s(literal 4 binary64) y)))
(neg.f64 (/.f64 (*.f64 z #s(literal 4 binary64)) y))
(/.f64 z (/.f64 y #s(literal -4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal -4 binary64) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (*.f64 #s(literal -4 binary64) z)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y (*.f64 #s(literal -4 binary64) z)))))
(/.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 y #s(literal 4 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 #s(literal -4 binary64) z))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 y (*.f64 #s(literal -4 binary64) z)) #s(literal 1 binary64))))
(/.f64 (*.f64 z #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (/.f64 z y) #s(literal -1/4 binary64))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) z)) (/.f64 y #s(literal -4 binary64)))
(/.f64 (neg.f64 (/.f64 z y)) #s(literal 1/4 binary64))
(/.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) #s(literal 1 binary64)) y)
(/.f64 (/.f64 (*.f64 z #s(literal 4 binary64)) #s(literal -1 binary64)) y)
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) #s(literal -1 binary64))) y)
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) y))
(/.f64 (neg.f64 (/.f64 (*.f64 z #s(literal 4 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) y))
(pow.f64 (/.f64 y (*.f64 #s(literal -4 binary64) z)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 y (*.f64 #s(literal -4 binary64) z)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(*.f64 (/.f64 #s(literal -4 binary64) y) z)
(*.f64 z (/.f64 #s(literal -4 binary64) y))
(*.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal -1 binary64) y) z))
(*.f64 #s(literal 4 binary64) (/.f64 z (-.f64 #s(literal 0 binary64) y)))
(*.f64 #s(literal 1 binary64) (/.f64 z (/.f64 y #s(literal -4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal -4 binary64) z))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z #s(literal -1/4 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) z)) #s(literal -1 binary64)))
(*.f64 (*.f64 z #s(literal 4 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 z y) #s(literal -4 binary64))
(*.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 #s(literal 4 binary64) y))
(*.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 z (-.f64 #s(literal 0 binary64) y)) #s(literal 4 binary64))
(*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 #s(literal -4 binary64) y))
(exp.f64 (*.f64 (log.f64 (/.f64 y #s(literal -4 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) y))
(neg.f64 (/.f64 #s(literal 4 binary64) y))
(/.f64 #s(literal -4 binary64) y)
(/.f64 #s(literal 4 binary64) (-.f64 #s(literal 0 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 y #s(literal -4 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1/4 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 y #s(literal 4 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1/4 binary64))
(pow.f64 (/.f64 #s(literal -4 binary64) y) #s(literal 1 binary64))
(pow.f64 (/.f64 y #s(literal -4 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal -4 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 y #s(literal -4 binary64)) (/.f64 y #s(literal -4 binary64))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 y #s(literal -4 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal -4 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal 4 binary64) (/.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -4 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) y))
(*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 4 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal -4 binary64) y) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) y) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 #s(literal 4 binary64) x))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 (*.f64 #s(literal -4 binary64) x) y))
(neg.f64 (*.f64 (/.f64 #s(literal -4 binary64) y) x))
(neg.f64 (*.f64 x (/.f64 #s(literal -4 binary64) y)))
(neg.f64 (/.f64 (*.f64 #s(literal -4 binary64) x) y))
(/.f64 x (/.f64 y #s(literal 4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 4 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (*.f64 #s(literal 4 binary64) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y (*.f64 #s(literal 4 binary64) x)))))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 #s(literal 4 binary64) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 y (*.f64 #s(literal 4 binary64) x)) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal -4 binary64) x) (-.f64 #s(literal 0 binary64) y))
(/.f64 (/.f64 x y) #s(literal 1/4 binary64))
(/.f64 (neg.f64 x) (/.f64 y #s(literal -4 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal -4 binary64) x)) y)
(/.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1 binary64)) y)
(/.f64 (*.f64 x #s(literal -1 binary64)) (/.f64 y #s(literal -4 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 y #s(literal -4 binary64)))
(/.f64 (/.f64 (*.f64 #s(literal -4 binary64) x) #s(literal -1 binary64)) y)
(/.f64 (neg.f64 (neg.f64 x)) (/.f64 y #s(literal 4 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) x)) (/.f64 y #s(literal 4 binary64)))
(/.f64 (neg.f64 (/.f64 x y)) #s(literal -1/4 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -4 binary64) x))) (-.f64 #s(literal 0 binary64) y))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) #s(literal -1 binary64))) y)
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) y))
(/.f64 (neg.f64 (*.f64 x #s(literal -1 binary64))) (/.f64 y #s(literal 4 binary64)))
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal -4 binary64) x) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) y))
(pow.f64 (/.f64 y (*.f64 #s(literal 4 binary64) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 y (*.f64 #s(literal 4 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -4 binary64) (*.f64 (/.f64 #s(literal -1 binary64) y) x))
(*.f64 #s(literal -4 binary64) (/.f64 (neg.f64 x) y))
(*.f64 #s(literal 4 binary64) (/.f64 x y))
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
(*.f64 x (/.f64 #s(literal 4 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 x (/.f64 y #s(literal 4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 4 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 1/4 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal -4 binary64) x)) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 4 binary64) x) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 #s(literal -4 binary64) x) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 x y) #s(literal 4 binary64))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -4 binary64) y))
(*.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (neg.f64 x) y) #s(literal -4 binary64))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) y))
(exp.f64 (*.f64 (log.f64 (/.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -4 binary64) y))
(neg.f64 (/.f64 #s(literal -4 binary64) y))
(/.f64 #s(literal -4 binary64) (-.f64 #s(literal 0 binary64) y))
(/.f64 #s(literal 4 binary64) y)
(/.f64 #s(literal 1 binary64) (/.f64 y #s(literal 4 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 y #s(literal -4 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/4 binary64))
(pow.f64 (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))
(pow.f64 (/.f64 y #s(literal 4 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 y #s(literal 4 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 y #s(literal 4 binary64)) (/.f64 y #s(literal 4 binary64))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 y #s(literal 4 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal -4 binary64) (/.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 4 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -4 binary64) y))
(*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -4 binary64))
(*.f64 (pow.f64 (/.f64 y #s(literal 4 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y #s(literal 4 binary64)) #s(literal -1/2 binary64)))
(+.f64 (/.f64 x (/.f64 y #s(literal 4 binary64))) (/.f64 z (/.f64 y #s(literal -4 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 #s(literal 4 binary64) (-.f64 x z)))) #s(literal -1 binary64)))
(-.f64 (/.f64 x (/.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 z #s(literal 4 binary64)) y))
(-.f64 (/.f64 x (/.f64 y #s(literal 4 binary64))) (/.f64 z (/.f64 y #s(literal 4 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (-.f64 x z)) y))
(-.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 (*.f64 #s(literal -4 binary64) (-.f64 x z)) y))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 y #s(literal 4 binary64))) (/.f64 (-.f64 z x) (/.f64 y #s(literal 4 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x z))) (/.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 x z))))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 z (+.f64 z x)))) (/.f64 y #s(literal 4 binary64))) (/.f64 (/.f64 (*.f64 z (*.f64 z z)) (+.f64 (*.f64 x x) (*.f64 z (+.f64 z x)))) (/.f64 y #s(literal 4 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 z x)) (/.f64 y #s(literal 4 binary64))) (/.f64 (/.f64 (*.f64 z z) (+.f64 z x)) (/.f64 y #s(literal 4 binary64))))
(-.f64 (/.f64 (+.f64 x #s(literal 0 binary64)) (/.f64 y #s(literal 4 binary64))) (/.f64 z (/.f64 y #s(literal 4 binary64))))
(fma.f64 #s(literal -4 binary64) (*.f64 (/.f64 #s(literal -1 binary64) y) x) (/.f64 z (/.f64 y #s(literal -4 binary64))))
(fma.f64 #s(literal -4 binary64) (/.f64 (neg.f64 x) y) (/.f64 z (/.f64 y #s(literal -4 binary64))))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) (/.f64 z (/.f64 y #s(literal -4 binary64))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) x (/.f64 z (/.f64 y #s(literal -4 binary64))))
(fma.f64 x (/.f64 #s(literal 4 binary64) y) (/.f64 z (/.f64 y #s(literal -4 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 x (/.f64 y #s(literal 4 binary64))) (/.f64 z (/.f64 y #s(literal -4 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 4 binary64) x) (/.f64 z (/.f64 y #s(literal -4 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 1/4 binary64)) (/.f64 z (/.f64 y #s(literal -4 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal -4 binary64) x)) #s(literal -1 binary64)) (/.f64 z (/.f64 y #s(literal -4 binary64))))
(fma.f64 (*.f64 #s(literal 4 binary64) x) (/.f64 #s(literal 1 binary64) y) (/.f64 z (/.f64 y #s(literal -4 binary64))))
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(*.f64 (pow.f64 (/.f64 (+.f64 z x) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 z z) (+.f64 (*.f64 x x) (*.f64 z z))))))
(*.f64 (pow.f64 (/.f64 (+.f64 z x) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 z z) (*.f64 z z)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 z z))))
(*.f64 (pow.f64 (/.f64 (+.f64 (*.f64 x x) (*.f64 z (+.f64 z x))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 z (*.f64 z z)) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))
(*.f64 (pow.f64 (/.f64 (+.f64 (*.f64 x x) (*.f64 z (+.f64 z x))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z)))))

simplify447.0ms (5.9%)

Algorithm
egg-herbie
Rules
6438×accelerator-lowering-fma.f32
6438×accelerator-lowering-fma.f64
3778×*-lowering-*.f32
3778×*-lowering-*.f64
1296×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
070879
1205879
2583723
31794723
43498723
55200723
66250723
76331723
86355723
96358723
107351723
08053723
Stop Event
iter limit
node limit
Counts
156 → 156
Calls
Call 1
Inputs
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(/ -4 y)
(/ -4 y)
(/ -4 y)
(/ -4 y)
(/ -4 y)
(/ -4 y)
(/ -4 y)
(/ -4 y)
(/ -4 y)
(/ -4 y)
(/ -4 y)
(/ -4 y)
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(* -4 (/ z y))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(* 4 (/ x y))
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
(* 4 (/ x y))
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(* 4 (/ x y))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(* -4 (/ z y))
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(* -4 (/ z y))
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* -4 z)
(+ (* -4 z) (* 4 x))
(+ (* -4 z) (* 4 x))
(+ (* -4 z) (* 4 x))
(* 4 x)
(* x (+ 4 (* -4 (/ z x))))
(* x (+ 4 (* -4 (/ z x))))
(* x (+ 4 (* -4 (/ z x))))
(* 4 x)
(* -1 (* x (- (* 4 (/ z x)) 4)))
(* -1 (* x (- (* 4 (/ z x)) 4)))
(* -1 (* x (- (* 4 (/ z x)) 4)))
(* 4 x)
(+ (* -4 z) (* 4 x))
(+ (* -4 z) (* 4 x))
(+ (* -4 z) (* 4 x))
(* -4 z)
(* z (- (* 4 (/ x z)) 4))
(* z (- (* 4 (/ x z)) 4))
(* z (- (* 4 (/ x z)) 4))
(* -4 z)
(* -1 (* z (+ 4 (* -4 (/ x z)))))
(* -1 (* z (+ 4 (* -4 (/ x z)))))
(* -1 (* z (+ 4 (* -4 (/ x z)))))
(* -1 z)
(- x z)
(- x z)
(- x z)
x
(* x (+ 1 (* -1 (/ z x))))
(* x (+ 1 (* -1 (/ z x))))
(* x (+ 1 (* -1 (/ z x))))
x
(* -1 (* x (- (/ z x) 1)))
(* -1 (* x (- (/ z x) 1)))
(* -1 (* x (- (/ z x) 1)))
x
(+ x (* -1 z))
(+ x (* -1 z))
(+ x (* -1 z))
(* -1 z)
(* z (- (/ x z) 1))
(* z (- (/ x z) 1))
(* z (- (/ x z) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(* -1 (* z (+ 1 (* -1 (/ x z)))))
Outputs
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(*.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(*.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(*.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y))
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
(*.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y))
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
(*.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y))
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
(*.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y))
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(*.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y))
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(*.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y))
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(*.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y))
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(*.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(*.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(*.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y))
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(*.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y))
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(*.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y))
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(*.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y))
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))
(*.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y))
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))
(*.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y))
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))
(*.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y))
(* 4 (/ (- x z) y))
(*.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y))
(* 4 (/ (- x z) y))
(*.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y))
(* 4 (/ (- x z) y))
(*.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y))
(* 4 (/ (- x z) y))
(*.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y))
(* 4 (/ (- x z) y))
(*.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y))
(* 4 (/ (- x z) y))
(*.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y))
(* 4 (/ (- x z) y))
(*.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y))
(* 4 (/ (- x z) y))
(*.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y))
(* 4 (/ (- x z) y))
(*.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y))
(* 4 (/ (- x z) y))
(*.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y))
(* 4 (/ (- x z) y))
(*.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y))
(* 4 (/ (- x z) y))
(*.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y))
(* -4 z)
(*.f64 #s(literal -4 binary64) z)
(+ (* -4 z) (* 4 x))
(*.f64 #s(literal -4 binary64) (-.f64 z x))
(+ (* -4 z) (* 4 x))
(*.f64 #s(literal -4 binary64) (-.f64 z x))
(+ (* -4 z) (* 4 x))
(*.f64 #s(literal -4 binary64) (-.f64 z x))
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* x (+ 4 (* -4 (/ z x))))
(*.f64 #s(literal -4 binary64) (-.f64 z x))
(* x (+ 4 (* -4 (/ z x))))
(*.f64 #s(literal -4 binary64) (-.f64 z x))
(* x (+ 4 (* -4 (/ z x))))
(*.f64 #s(literal -4 binary64) (-.f64 z x))
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* -1 (* x (- (* 4 (/ z x)) 4)))
(*.f64 #s(literal -4 binary64) (-.f64 z x))
(* -1 (* x (- (* 4 (/ z x)) 4)))
(*.f64 #s(literal -4 binary64) (-.f64 z x))
(* -1 (* x (- (* 4 (/ z x)) 4)))
(*.f64 #s(literal -4 binary64) (-.f64 z x))
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(+ (* -4 z) (* 4 x))
(*.f64 #s(literal -4 binary64) (-.f64 z x))
(+ (* -4 z) (* 4 x))
(*.f64 #s(literal -4 binary64) (-.f64 z x))
(+ (* -4 z) (* 4 x))
(*.f64 #s(literal -4 binary64) (-.f64 z x))
(* -4 z)
(*.f64 #s(literal -4 binary64) z)
(* z (- (* 4 (/ x z)) 4))
(*.f64 #s(literal -4 binary64) (-.f64 z x))
(* z (- (* 4 (/ x z)) 4))
(*.f64 #s(literal -4 binary64) (-.f64 z x))
(* z (- (* 4 (/ x z)) 4))
(*.f64 #s(literal -4 binary64) (-.f64 z x))
(* -4 z)
(*.f64 #s(literal -4 binary64) z)
(* -1 (* z (+ 4 (* -4 (/ x z)))))
(*.f64 #s(literal -4 binary64) (-.f64 z x))
(* -1 (* z (+ 4 (* -4 (/ x z)))))
(*.f64 #s(literal -4 binary64) (-.f64 z x))
(* -1 (* z (+ 4 (* -4 (/ x z)))))
(*.f64 #s(literal -4 binary64) (-.f64 z x))
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(- x z)
(-.f64 x z)
(- x z)
(-.f64 x z)
(- x z)
(-.f64 x z)
x
(* x (+ 1 (* -1 (/ z x))))
(-.f64 x z)
(* x (+ 1 (* -1 (/ z x))))
(-.f64 x z)
(* x (+ 1 (* -1 (/ z x))))
(-.f64 x z)
x
(* -1 (* x (- (/ z x) 1)))
(-.f64 x z)
(* -1 (* x (- (/ z x) 1)))
(-.f64 x z)
(* -1 (* x (- (/ z x) 1)))
(-.f64 x z)
x
(+ x (* -1 z))
(-.f64 x z)
(+ x (* -1 z))
(-.f64 x z)
(+ x (* -1 z))
(-.f64 x z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* z (- (/ x z) 1))
(-.f64 x z)
(* z (- (/ x z) 1))
(-.f64 x z)
(* z (- (/ x z) 1))
(-.f64 x z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(-.f64 x z)
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(-.f64 x z)
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(-.f64 x z)

eval137.0ms (1.8%)

Compiler

Compiled 16414 to 6356 computations (61.3% saved)

prune125.0ms (1.6%)

Pruning

8 alts after pruning (0 fresh and 8 done)

PrunedKeptTotal
New8180818
Fresh000
Picked033
Done055
Total8188826
Accuracy
100.0%
Counts
826 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
32.7%
(/.f64 (*.f64 z #s(literal -4 binary64)) y)
36.8%
(/.f64 (*.f64 x #s(literal 4 binary64)) y)
64.4%
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
67.0%
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 z #s(literal -4 binary64)) y))
71.5%
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 x #s(literal 4 binary64)) y))
36.8%
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
32.6%
(*.f64 (/.f64 #s(literal -4 binary64) y) z)
36.2%
#s(literal 4 binary64)
Compiler

Compiled 133 to 95 computations (28.6% saved)

regimes19.0ms (0.3%)

Counts
10 → 1
Calls
Call 1
Inputs
#s(literal 4 binary64)
(*.f64 (/.f64 #s(literal -4 binary64) y) z)
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
(/.f64 (*.f64 x #s(literal 4 binary64)) y)
(/.f64 (*.f64 z #s(literal -4 binary64)) y)
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 x #s(literal 4 binary64)) y))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 z #s(literal -4 binary64)) y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(+.f64 #s(literal 4 binary64) (*.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y))
Outputs
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y))
Calls

5 calls:

7.0ms
y
3.0ms
x
3.0ms
z
2.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)
2.0ms
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y))
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1z
99.9%1(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y))
99.9%1(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)
Compiler

Compiled 42 to 31 computations (26.2% saved)

regimes12.0ms (0.2%)

Counts
9 → 1
Calls
Call 1
Inputs
#s(literal 4 binary64)
(*.f64 (/.f64 #s(literal -4 binary64) y) z)
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
(/.f64 (*.f64 x #s(literal 4 binary64)) y)
(/.f64 (*.f64 z #s(literal -4 binary64)) y)
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 x #s(literal 4 binary64)) y))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 z #s(literal -4 binary64)) y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(+.f64 #s(literal 4 binary64) (*.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y)))
Outputs
(+.f64 #s(literal 4 binary64) (*.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y)))
Calls

3 calls:

4.0ms
y
3.0ms
x
3.0ms
z
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes27.0ms (0.4%)

Counts
8 → 3
Calls
Call 1
Inputs
#s(literal 4 binary64)
(*.f64 (/.f64 #s(literal -4 binary64) y) z)
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
(/.f64 (*.f64 x #s(literal 4 binary64)) y)
(/.f64 (*.f64 z #s(literal -4 binary64)) y)
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 x #s(literal 4 binary64)) y))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 z #s(literal -4 binary64)) y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
Outputs
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 z #s(literal -4 binary64)) y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
Calls

3 calls:

10.0ms
y
8.0ms
x
8.0ms
z
Results
AccuracySegmentsBranch
88.9%3x
89.2%4y
88.6%3z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes24.0ms (0.3%)

Counts
7 → 3
Calls
Call 1
Inputs
#s(literal 4 binary64)
(*.f64 (/.f64 #s(literal -4 binary64) y) z)
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
(/.f64 (*.f64 x #s(literal 4 binary64)) y)
(/.f64 (*.f64 z #s(literal -4 binary64)) y)
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 x #s(literal 4 binary64)) y))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 z #s(literal -4 binary64)) y))
Outputs
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 z #s(literal -4 binary64)) y))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 x #s(literal 4 binary64)) y))
(+.f64 #s(literal 4 binary64) (/.f64 (*.f64 z #s(literal -4 binary64)) y))
Calls

3 calls:

9.0ms
z
7.0ms
y
6.0ms
x
Results
AccuracySegmentsBranch
78.3%4y
87.6%3z
87.4%3x
Compiler

Compiled 12 to 9 computations (25% saved)

regimes14.0ms (0.2%)

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

2 calls:

8.0ms
x
6.0ms
z
Results
AccuracySegmentsBranch
75.7%5x
82.2%3z
Compiler

Compiled 8 to 6 computations (25% saved)

regimes34.0ms (0.4%)

Counts
5 → 7
Calls
Call 1
Inputs
#s(literal 4 binary64)
(*.f64 (/.f64 #s(literal -4 binary64) y) z)
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
(/.f64 (*.f64 x #s(literal 4 binary64)) y)
(/.f64 (*.f64 z #s(literal -4 binary64)) y)
Outputs
(/.f64 (*.f64 x #s(literal 4 binary64)) y)
#s(literal 4 binary64)
(/.f64 (*.f64 z #s(literal -4 binary64)) y)
#s(literal 4 binary64)
(/.f64 (*.f64 z #s(literal -4 binary64)) y)
#s(literal 4 binary64)
(/.f64 (*.f64 x #s(literal 4 binary64)) y)
Calls

3 calls:

14.0ms
z
10.0ms
y
9.0ms
x
Results
AccuracySegmentsBranch
64.9%7x
63.9%10y
60.9%7z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes6.0ms (0.1%)

Counts
4 → 7
Calls
Call 1
Inputs
#s(literal 4 binary64)
(*.f64 (/.f64 #s(literal -4 binary64) y) z)
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
(/.f64 (*.f64 x #s(literal 4 binary64)) y)
Outputs
(/.f64 (*.f64 x #s(literal 4 binary64)) y)
#s(literal 4 binary64)
(*.f64 (/.f64 #s(literal -4 binary64) y) z)
#s(literal 4 binary64)
(*.f64 (/.f64 #s(literal -4 binary64) y) z)
#s(literal 4 binary64)
(/.f64 (*.f64 x #s(literal 4 binary64)) y)
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
64.9%7x
Compiler

Compiled 4 to 3 computations (25% saved)

regimes7.0ms (0.1%)

Counts
3 → 7
Calls
Call 1
Inputs
#s(literal 4 binary64)
(*.f64 (/.f64 #s(literal -4 binary64) y) z)
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
Outputs
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
#s(literal 4 binary64)
(*.f64 (/.f64 #s(literal -4 binary64) y) z)
#s(literal 4 binary64)
(*.f64 (/.f64 #s(literal -4 binary64) y) z)
#s(literal 4 binary64)
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
Calls

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
64.9%7x
Compiler

Compiled 4 to 3 computations (25% saved)

regimes7.0ms (0.1%)

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

2 calls:

4.0ms
z
3.0ms
x
Results
AccuracySegmentsBranch
53.7%3z
45.1%5x
Compiler

Compiled 8 to 6 computations (25% saved)

regimes2.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal 4 binary64)
Outputs
#s(literal 4 binary64)
Calls

3 calls:

0.0ms
x
0.0ms
z
0.0ms
y
Results
AccuracySegmentsBranch
36.2%1x
36.2%1y
36.2%1z
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch29.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
9.0ms
5.308642918943548e+50
1.179507528530113e+51
18.0ms
-1.0597277755450185e+106
-2.276747778092934e+94
Results
18.0ms240×0valid
Compiler

Compiled 352 to 272 computations (22.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 4.0ms (41.3% of total)
ival-add: 3.0ms (31% of total)
ival-div: 2.0ms (20.7% of total)
ival-sub: 1.0ms (10.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch69.0ms (0.9%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
51.0ms
0.14681758159978137
4212.373276606538
15.0ms
-1.0203814906958353e-26
-1.5171776667964729e-30
Results
30.0ms256×0valid
Compiler

Compiled 374 to 305 computations (18.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 8.0ms (53.7% of total)
ival-add: 3.0ms (20.1% of total)
ival-div: 2.0ms (13.4% of total)
ival-sub: 1.0ms (6.7% of total)
const: 1.0ms (6.7% of total)
backward-pass: 0.0ms (0% of total)

bsearch46.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
1.8927462295568185e+195
1.195369077467592e+196
32.0ms
-4.515825796336412e+154
-2.899112852735679e+140
Results
35.0ms256×0valid
Compiler

Compiled 342 to 273 computations (20.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-mult: 20.0ms (74.5% of total)
ival-add: 3.0ms (11.2% of total)
ival-div: 2.0ms (7.4% of total)
ival-sub: 1.0ms (3.7% of total)
const: 1.0ms (3.7% of total)
backward-pass: 0.0ms (0% of total)

bsearch106.0ms (1.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
8.0ms
5.308642918943548e+50
1.179507528530113e+51
17.0ms
3.4640150979776616e-204
7.047519647720157e-197
12.0ms
4.908875830606984e-235
1.709750795254605e-233
13.0ms
5.960048308903486e-253
1.0755657140820476e-250
18.0ms
-7.375137104894007e-298
2.1443233689354058e-302
20.0ms
-1.0597277755450185e+106
-2.276747778092934e+94
Results
62.0ms768×0valid
Compiler

Compiled 694 to 593 computations (14.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-mult: 13.0ms (36.2% of total)
ival-add: 11.0ms (30.7% of total)
ival-div: 6.0ms (16.7% of total)
ival-sub: 4.0ms (11.2% of total)
const: 2.0ms (5.6% of total)
backward-pass: 0.0ms (0% of total)

bsearch147.0ms (1.9%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
10.0ms
5.308642918943548e+50
1.179507528530113e+51
20.0ms
3.4640150979776616e-204
7.047519647720157e-197
12.0ms
4.908875830606984e-235
1.709750795254605e-233
14.0ms
5.960048308903486e-253
1.0755657140820476e-250
19.0ms
-7.375137104894007e-298
2.1443233689354058e-302
61.0ms
-1.0597277755450185e+106
-2.276747778092934e+94
Results
111.0ms768×0valid
Compiler

Compiled 694 to 593 computations (14.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 84.0ms
ival-add: 55.0ms (65.3% of total)
ival-mult: 11.0ms (13.1% of total)
ival-sub: 10.0ms (11.9% of total)
ival-div: 6.0ms (7.1% of total)
const: 2.0ms (2.4% of total)
backward-pass: 0.0ms (0% of total)

bsearch105.0ms (1.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
5.308642918943548e+50
1.179507528530113e+51
15.0ms
3.4640150979776616e-204
7.047519647720157e-197
14.0ms
4.908875830606984e-235
1.709750795254605e-233
21.0ms
5.960048308903486e-253
1.0755657140820476e-250
17.0ms
-7.375137104894007e-298
2.1443233689354058e-302
19.0ms
-1.0597277755450185e+106
-2.276747778092934e+94
Results
72.0ms768×0valid
Compiler

Compiled 694 to 593 computations (14.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-mult: 13.0ms (35.7% of total)
ival-add: 8.0ms (22% of total)
ival-sub: 7.0ms (19.2% of total)
ival-div: 6.0ms (16.5% of total)
const: 2.0ms (5.5% of total)
backward-pass: 0.0ms (0% of total)

bsearch35.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
22.0ms
9.14220052899879e+73
6.113127921744177e+95
10.0ms
-2.0565380130331835e+70
-1.220970616127656e+70
Results
25.0ms240×0valid
Compiler

Compiled 232 to 197 computations (15.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-add: 6.0ms (43.9% of total)
ival-mult: 4.0ms (29.3% of total)
ival-div: 2.0ms (14.6% of total)
ival-sub: 1.0ms (7.3% of total)
const: 1.0ms (7.3% of total)
backward-pass: 0.0ms (0% of total)

soundness3.0ms (0%)

Stop Event
done
Compiler

Compiled 269 to 186 computations (30.9% saved)

preprocess82.0ms (1.1%)

Compiler

Compiled 570 to 396 computations (30.5% saved)

end0.0ms (0%)

Profiling

Loading profile data...