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

Time bar (total: 8.1s)

analyze65.0ms (0.8%)

Memory
-24.9MiB live, 94.8MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%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
50%49.9%49.9%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
75%74.9%25%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
87.5%87.4%12.5%0.1%0%0%0%12
Compiler

Compiled 13 to 12 computations (7.7% saved)

sample730.0ms (9%)

Memory
46.1MiB live, 1 168.2MiB allocated
Samples
491.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 277.0ms
ival-sub: 103.0ms (37.2% of total)
ival-mult: 99.0ms (35.7% of total)
ival-div: 58.0ms (20.9% of total)
exact: 8.0ms (2.9% of total)
ival-true: 6.0ms (2.2% of total)
ival-assert: 3.0ms (1.1% of total)
Bogosity

preprocess296.0ms (3.6%)

Memory
12.5MiB live, 173.0MiB allocated
Algorithm
egg-herbie
Rules
2 736×accelerator-lowering-fma.f32
2 736×accelerator-lowering-fma.f64
1 160×div-sub
1 152×*-lowering-*.f32
1 152×*-lowering-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042120
1135112
2427110
3158990
4570890
01011
12311
26311
31649
44059
59789
625899
745229
848419
948519
1048609
1148609
1251729
1353819
1453979
1553979
1653979
1754299
1855369
055368
Stop Event
iter limit
saturated
node limit
Calls
Call 1
Inputs
(/ (* 4 (- (- x y) (* z 1/2))) z)
Outputs
(/ (* 4 (- (- x y) (* z 1/2))) z)
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z) #s(literal -2 binary64))
Call 2
Inputs
(/ (* 4 (- (- x y) (* z 1/2))) z)
(/ (* 4 (- (- (neg x) y) (* z 1/2))) z)
(/ (* 4 (- (- x (neg y)) (* z 1/2))) z)
(/ (* 4 (- (- x y) (* (neg z) 1/2))) (neg z))
(neg (/ (* 4 (- (- (neg x) y) (* z 1/2))) z))
(neg (/ (* 4 (- (- x (neg y)) (* z 1/2))) z))
(neg (/ (* 4 (- (- x y) (* (neg z) 1/2))) (neg z)))
(/ (* 4 (- (- y x) (* z 1/2))) z)
(/ (* 4 (- (- z y) (* x 1/2))) x)
(/ (* 4 (- (- x z) (* y 1/2))) y)
Outputs
(/ (* 4 (- (- x y) (* z 1/2))) z)
(+ (* 4 (/ (- x y) z)) -2)
(/ (* 4 (- (- (neg x) y) (* z 1/2))) z)
(+ (* -4 (/ (+ x y) z)) -2)
(/ (* 4 (- (- x (neg y)) (* z 1/2))) z)
(* 4 (+ (/ (+ x y) z) -1/2))
(/ (* 4 (- (- x y) (* (neg z) 1/2))) (neg z))
(+ (* 4 (/ (- y x) z)) -2)
(neg (/ (* 4 (- (- (neg x) y) (* z 1/2))) z))
(+ (* 4 (/ (+ x y) z)) 2)
(neg (/ (* 4 (- (- x (neg y)) (* z 1/2))) z))
(* 4 (- 1/2 (/ (+ x y) z)))
(neg (/ (* 4 (- (- x y) (* (neg z) 1/2))) (neg z)))
(+ (* 4 (/ (- x y) z)) 2)
(/ (* 4 (- (- y x) (* z 1/2))) z)
(+ (* 4 (/ (- y x) z)) -2)
(/ (* 4 (- (- z y) (* x 1/2))) x)
(* 4 (+ (/ (- z y) x) -1/2))
(/ (* 4 (- (- x z) (* y 1/2))) y)
(* 4 (- -1/2 (/ (- z x) y)))

explain107.0ms (1.3%)

Memory
-2.3MiB live, 155.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-z
00-0-#s(literal 4 binary64)
00-0-(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
00-0-y
00-0-(-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))
00-0-(*.f64 z #s(literal 1/2 binary64))
00-0-(-.f64 x y)
00-0-#s(literal 1/2 binary64)
00-0-(*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64))))
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
41.0ms512×0valid
Compiler

Compiled 108 to 44 computations (59.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 6.0ms (38.2% of total)
ival-sub: 5.0ms (31.8% of total)
ival-div: 4.0ms (25.4% of total)
exact: 1.0ms (6.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
2.5MiB live, 2.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify247.0ms (3%)

Memory
-10.2MiB live, 141.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff-64
(*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64))))
cost-diff0
(-.f64 x y)
cost-diff192
(-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))
cost-diff384
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
Rules
2 736×accelerator-lowering-fma.f32
2 736×accelerator-lowering-fma.f64
1 160×div-sub
1 152×*-lowering-*.f32
1 152×*-lowering-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01038
12338
26338
316436
440536
597836
6258936
7452236
8484136
9485136
10486036
11486036
12517236
13538136
14539736
15539736
16539736
17542936
18553636
0553633
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ (* 4 (- (- x y) (* z 1/2))) z)
(* 4 (- (- x y) (* z 1/2)))
4
(- (- x y) (* z 1/2))
(- x y)
x
y
(* z 1/2)
z
1/2
Outputs
(/ (* 4 (- (- x y) (* z 1/2))) z)
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z) #s(literal -2 binary64))
(* 4 (- (- x y) (* z 1/2)))
(fma.f64 #s(literal 4 binary64) (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y)) #s(literal 0 binary64))
4
#s(literal 4 binary64)
(- (- x y) (* z 1/2))
(-.f64 x (fma.f64 z #s(literal 1/2 binary64) y))
(- x y)
(-.f64 x y)
x
y
(* z 1/2)
(fma.f64 z #s(literal 1/2 binary64) #s(literal 0 binary64))
z
1/2
#s(literal 1/2 binary64)

localize83.0ms (1%)

Memory
-29.0MiB live, 51.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 x y)
accuracy100.0%
(*.f64 z #s(literal 1/2 binary64))
accuracy100.0%
(*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64))))
accuracy100.0%
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
Samples
74.0ms256×0valid
Compiler

Compiled 40 to 12 computations (70% saved)

Precisions
Click to see histograms. Total time spent on operations: 59.0ms
ival-sub: 54.0ms (91.3% of total)
ival-mult: 3.0ms (5.1% of total)
ival-div: 2.0ms (3.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory
13.5MiB live, 13.5MiB allocated
Counts
5 → 144
Calls
Call 1
Inputs
#<alt (/ (* 4 (- (- x y) (* z 1/2))) z)>
#<alt (- (- x y) (* z 1/2))>
#<alt (- x y)>
#<alt (* 4 (- (- x y) (* z 1/2)))>
#<alt (* z 1/2)>
Outputs
#<alt (* -4 (/ (+ y (* 1/2 z)) z))>
#<alt (+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))>
#<alt (+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))>
#<alt (+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))>
#<alt (* 4 (/ x z))>
#<alt (* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))>
#<alt (* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))>
#<alt (* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))>
#<alt (* 4 (/ x z))>
#<alt (* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))>
#<alt (* 4 (/ (- x (* 1/2 z)) z))>
#<alt (+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))>
#<alt (+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))>
#<alt (+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))>
#<alt (* -4 (/ y z))>
#<alt (* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))>
#<alt (* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))>
#<alt (* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))>
#<alt (* -4 (/ y z))>
#<alt (* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))>
#<alt (* 4 (/ (- x y) z))>
#<alt (/ (+ (* -2 z) (* 4 (- x y))) z)>
#<alt (/ (+ (* -2 z) (* 4 (- x y))) z)>
#<alt (/ (+ (* -2 z) (* 4 (- x y))) z)>
#<alt -2>
#<alt (- (* 4 (/ (- x y) z)) 2)>
#<alt (- (* 4 (/ (- x y) z)) 2)>
#<alt (- (* 4 (/ (- x y) z)) 2)>
#<alt -2>
#<alt (- (* 4 (/ (- x y) z)) 2)>
#<alt (- (* 4 (/ (- x y) z)) 2)>
#<alt (- (* 4 (/ (- x y) z)) 2)>
#<alt (* -1 (+ y (* 1/2 z)))>
#<alt (- x (+ y (* 1/2 z)))>
#<alt (- x (+ y (* 1/2 z)))>
#<alt (- x (+ y (* 1/2 z)))>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x))))>
#<alt (* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x))))>
#<alt (* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x))))>
#<alt x>
#<alt (* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1)))>
#<alt (* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1)))>
#<alt (* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1)))>
#<alt (- x (* 1/2 z))>
#<alt (- (+ x (* -1 y)) (* 1/2 z))>
#<alt (- (+ x (* -1 y)) (* 1/2 z))>
#<alt (- (+ x (* -1 y)) (* 1/2 z))>
#<alt (* -1 y)>
#<alt (* y (- (/ x y) (+ 1 (* 1/2 (/ z y)))))>
#<alt (* y (- (/ x y) (+ 1 (* 1/2 (/ z y)))))>
#<alt (* y (- (/ x y) (+ 1 (* 1/2 (/ z y)))))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y)))))>
#<alt (- x y)>
#<alt (- (+ x (* -1/2 z)) y)>
#<alt (- (+ x (* -1/2 z)) y)>
#<alt (- (+ x (* -1/2 z)) y)>
#<alt (* -1/2 z)>
#<alt (* z (- (/ x z) (+ 1/2 (/ y z))))>
#<alt (* z (- (/ x z) (+ 1/2 (/ y z))))>
#<alt (* z (- (/ x z) (+ 1/2 (/ y z))))>
#<alt (* -1/2 z)>
#<alt (* -1 (* z (+ 1/2 (* -1 (/ (- x y) z)))))>
#<alt (* -1 (* z (+ 1/2 (* -1 (/ (- x y) z)))))>
#<alt (* -1 (* z (+ 1/2 (* -1 (/ (- x y) z)))))>
#<alt (* -1 y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -4 (+ y (* 1/2 z)))>
#<alt (+ (* -4 (+ y (* 1/2 z))) (* 4 x))>
#<alt (+ (* -4 (+ y (* 1/2 z))) (* 4 x))>
#<alt (+ (* -4 (+ y (* 1/2 z))) (* 4 x))>
#<alt (* 4 x)>
#<alt (* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))>
#<alt (* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))>
#<alt (* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))>
#<alt (* 4 x)>
#<alt (* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))>
#<alt (* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))>
#<alt (* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))>
#<alt (* 4 (- x (* 1/2 z)))>
#<alt (+ (* -4 y) (* 4 (- x (* 1/2 z))))>
#<alt (+ (* -4 y) (* 4 (- x (* 1/2 z))))>
#<alt (+ (* -4 y) (* 4 (- x (* 1/2 z))))>
#<alt (* -4 y)>
#<alt (* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))>
#<alt (* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))>
#<alt (* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))>
#<alt (* -4 y)>
#<alt (* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))>
#<alt (* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))>
#<alt (* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))>
#<alt (* 4 (- x y))>
#<alt (+ (* -2 z) (* 4 (- x y)))>
#<alt (+ (* -2 z) (* 4 (- x y)))>
#<alt (+ (* -2 z) (* 4 (- x y)))>
#<alt (* -2 z)>
#<alt (* z (- (* 4 (/ (- x y) z)) 2))>
#<alt (* z (- (* 4 (/ (- x y) z)) 2))>
#<alt (* z (- (* 4 (/ (- x y) z)) 2))>
#<alt (* -2 z)>
#<alt (* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))>
#<alt (* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))>
#<alt (* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))>
#<alt (* 1/2 z)>
#<alt (* 1/2 z)>
#<alt (* 1/2 z)>
#<alt (* 1/2 z)>
#<alt (* 1/2 z)>
#<alt (* 1/2 z)>
#<alt (* 1/2 z)>
#<alt (* 1/2 z)>
#<alt (* 1/2 z)>
#<alt (* 1/2 z)>
#<alt (* 1/2 z)>
#<alt (* 1/2 z)>
Calls

36 calls:

TimeVariablePointExpression
1.0ms
z
@-inf
(* 4 (- (- x y) (* z 1/2)))
1.0ms
z
@0
(/ (* 4 (- (- x y) (* z 1/2))) z)
1.0ms
x
@-inf
(/ (* 4 (- (- x y) (* z 1/2))) z)
1.0ms
x
@inf
(/ (* 4 (- (- x y) (* z 1/2))) z)
1.0ms
x
@0
(/ (* 4 (- (- x y) (* z 1/2))) z)

rewrite685.0ms (8.4%)

Memory
-20.9MiB live, 618.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 820×accelerator-lowering-fma.f32
4 820×accelerator-lowering-fma.f64
4 390×*-lowering-*.f32
4 390×*-lowering-*.f64
3 134×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01033
15533
246533
3682433
0800230
Stop Event
iter limit
node limit
Counts
5 → 338
Calls
Call 1
Inputs
(/ (* 4 (- (- x y) (* z 1/2))) z)
(- (- x y) (* z 1/2))
(- x y)
(* 4 (- (- x y) (* z 1/2)))
(* z 1/2)
Outputs
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 4 binary64) (-.f64 x y))) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z #s(literal -2 binary64))))
(+.f64 (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) (/.f64 #s(literal 1 binary64) z)) (*.f64 (*.f64 z #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) z)))
(exp.f64 (*.f64 (log.f64 (/.f64 z (fma.f64 #s(literal 4 binary64) (-.f64 x y) (*.f64 z #s(literal -2 binary64))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y)) (/.f64 #s(literal -4 binary64) z)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) z)) (*.f64 (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y)) (/.f64 #s(literal -4 binary64) z)))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 4 binary64) (-.f64 x y)) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z #s(literal -2 binary64))))
(fma.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) (/.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 z #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) z)))
(neg.f64 (*.f64 (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y)) (/.f64 #s(literal -4 binary64) z)))
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y)) (/.f64 #s(literal -4 binary64) z))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 z (fma.f64 #s(literal 4 binary64) (-.f64 x y) (*.f64 z #s(literal -2 binary64))))))
(/.f64 #s(literal 4 binary64) (/.f64 z (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y))))
(/.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y))) z))
(/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x y) (*.f64 z #s(literal -2 binary64))) z)
(/.f64 (*.f64 (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y)) #s(literal -4 binary64)) (-.f64 #s(literal 0 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 z (fma.f64 #s(literal 4 binary64) (-.f64 x y) (*.f64 z #s(literal -2 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1/4 binary64) (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y))))
(/.f64 #s(literal -1 binary64) (/.f64 z (*.f64 (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y)) #s(literal -4 binary64))))
(/.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/8 binary64)))) (*.f64 z (fma.f64 z (fma.f64 z #s(literal 1/4 binary64) (*.f64 (-.f64 x y) #s(literal 1/2 binary64))) (*.f64 (-.f64 x y) (-.f64 x y)))))
(/.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/8 binary64)))) (*.f64 (fma.f64 (*.f64 z #s(literal -1/2 binary64)) (-.f64 (*.f64 z #s(literal -1/2 binary64)) (-.f64 x y)) (*.f64 (-.f64 x y) (-.f64 x y))) z))
(/.f64 (*.f64 (fma.f64 z #s(literal 1/2 binary64) (-.f64 x y)) (fma.f64 #s(literal 4 binary64) (-.f64 x y) (*.f64 z #s(literal -2 binary64)))) (*.f64 z (fma.f64 z #s(literal 1/2 binary64) (-.f64 x y))))
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(/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/8 binary64)))) #s(literal 1 binary64)) (fma.f64 z (fma.f64 z #s(literal 1/4 binary64) (*.f64 (-.f64 x y) #s(literal 1/2 binary64))) (*.f64 (-.f64 x y) (-.f64 x y))))
(/.f64 (*.f64 (*.f64 (fma.f64 z #s(literal 1/2 binary64) (-.f64 x y)) (fma.f64 #s(literal 4 binary64) (-.f64 x y) (*.f64 z #s(literal -2 binary64)))) #s(literal 1 binary64)) (fma.f64 z #s(literal 1/2 binary64) (-.f64 x y)))
(/.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/8 binary64))))) (-.f64 #s(literal 0 binary64) (fma.f64 z (fma.f64 z #s(literal 1/4 binary64) (*.f64 (-.f64 x y) #s(literal 1/2 binary64))) (*.f64 (-.f64 x y) (-.f64 x y)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 z #s(literal 1/2 binary64) (-.f64 x y)) (fma.f64 #s(literal 4 binary64) (-.f64 x y) (*.f64 z #s(literal -2 binary64))))) (-.f64 #s(literal 0 binary64) (fma.f64 z #s(literal 1/2 binary64) (-.f64 x y))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z #s(literal -2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) (*.f64 #s(literal 4 binary64) (-.f64 x y)) (-.f64 (*.f64 (*.f64 z #s(literal -2 binary64)) (*.f64 z #s(literal -2 binary64))) (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) (*.f64 z #s(literal -2 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) (*.f64 #s(literal 4 binary64) (-.f64 x y))) (*.f64 (*.f64 z #s(literal -2 binary64)) (*.f64 z #s(literal -2 binary64)))) (-.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) (*.f64 z #s(literal -2 binary64))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/8 binary64))))) (-.f64 #s(literal 0 binary64) (fma.f64 z (fma.f64 z #s(literal 1/4 binary64) (*.f64 (-.f64 x y) #s(literal 1/2 binary64))) (*.f64 (-.f64 x y) (-.f64 x y)))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (-.f64 x y) (-.f64 x y) (*.f64 (*.f64 z z) #s(literal -1/4 binary64))))) (-.f64 #s(literal 0 binary64) (fma.f64 z #s(literal 1/2 binary64) (-.f64 x y))))
(/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (fma.f64 (fma.f64 z #s(literal 1/2 binary64) y) (+.f64 x (fma.f64 z #s(literal 1/2 binary64) y)) (*.f64 x x)) (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y)))) (fma.f64 (fma.f64 z #s(literal 1/2 binary64) y) (+.f64 x (fma.f64 z #s(literal 1/2 binary64) y)) (*.f64 x x)))
(/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (+.f64 x (fma.f64 z #s(literal 1/2 binary64) y)) (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y)))) (+.f64 x (fma.f64 z #s(literal 1/2 binary64) y)))
(*.f64 #s(literal 4 binary64) (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y)))
(*.f64 #s(literal 4 binary64) (*.f64 (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y)) #s(literal 1 binary64)))
(*.f64 (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y)) #s(literal 4 binary64))
(*.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x y) (*.f64 z #s(literal -2 binary64))) #s(literal 1 binary64))
(*.f64 (fma.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/8 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 z #s(literal 1/4 binary64) (*.f64 (-.f64 x y) #s(literal 1/2 binary64))) (*.f64 (-.f64 x y) (-.f64 x y)))) #s(literal 4 binary64)))
(*.f64 (fma.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/8 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 z (fma.f64 z #s(literal 1/4 binary64) (*.f64 (-.f64 x y) #s(literal 1/2 binary64))) (*.f64 (-.f64 x y) (-.f64 x y)))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (-.f64 x y) (*.f64 z #s(literal -2 binary64))))
(*.f64 (fma.f64 (-.f64 x y) (-.f64 x y) (*.f64 (*.f64 z z) #s(literal -1/4 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 1/2 binary64) (-.f64 x y))) #s(literal 4 binary64)))
(*.f64 (fma.f64 (-.f64 x y) (-.f64 x y) (*.f64 (*.f64 z z) #s(literal -1/4 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 z #s(literal 1/2 binary64) (-.f64 x y))))
(*.f64 #s(literal -1 binary64) (*.f64 (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y)) #s(literal -4 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y))) #s(literal -4 binary64))
(*.f64 #s(literal -4 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y))))
(*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/8 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 z #s(literal 1/4 binary64) (*.f64 (-.f64 x y) #s(literal 1/2 binary64))) (*.f64 (-.f64 x y) (-.f64 x y)))))
(*.f64 (*.f64 (fma.f64 z #s(literal 1/2 binary64) (-.f64 x y)) (fma.f64 #s(literal 4 binary64) (-.f64 x y) (*.f64 z #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 1/2 binary64) (-.f64 x y))))
(*.f64 (/.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/8 binary64)))) (fma.f64 (-.f64 x y) (*.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y)))) (*.f64 (*.f64 z (fma.f64 z #s(literal 1/4 binary64) (*.f64 (-.f64 x y) #s(literal 1/2 binary64)))) (*.f64 (*.f64 z (*.f64 z #s(literal 1/4 binary64))) (*.f64 (fma.f64 z #s(literal 1/2 binary64) (-.f64 x y)) (fma.f64 z #s(literal 1/2 binary64) (-.f64 x y))))))) (fma.f64 (*.f64 z (fma.f64 z #s(literal 1/4 binary64) (*.f64 (-.f64 x y) #s(literal 1/2 binary64)))) (-.f64 (*.f64 z (fma.f64 z #s(literal 1/4 binary64) (*.f64 (-.f64 x y) #s(literal 1/2 binary64)))) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))))))
(*.f64 (/.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/8 binary64)))) (*.f64 (fma.f64 z (fma.f64 z #s(literal 1/4 binary64) (*.f64 (-.f64 x y) #s(literal 1/2 binary64))) (*.f64 (-.f64 x y) (-.f64 x y))) (fma.f64 (-.f64 x y) (-.f64 x y) (*.f64 (*.f64 z #s(literal -1/2 binary64)) (fma.f64 z #s(literal 1/2 binary64) (-.f64 x y)))))) (fma.f64 (-.f64 x y) (-.f64 x y) (*.f64 (*.f64 z #s(literal -1/2 binary64)) (fma.f64 z #s(literal 1/2 binary64) (-.f64 x y)))))
(*.f64 (/.f64 (*.f64 (fma.f64 z #s(literal 1/2 binary64) (-.f64 x y)) (fma.f64 #s(literal 4 binary64) (-.f64 x y) (*.f64 z #s(literal -2 binary64)))) (fma.f64 (-.f64 x y) (-.f64 x y) (*.f64 (*.f64 z z) #s(literal -1/4 binary64)))) (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y)))
(*.f64 (/.f64 (*.f64 (fma.f64 z #s(literal 1/2 binary64) (-.f64 x y)) (fma.f64 #s(literal 4 binary64) (-.f64 x y) (*.f64 z #s(literal -2 binary64)))) (fma.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/8 binary64)))) (fma.f64 z (-.f64 (*.f64 z #s(literal 1/4 binary64)) (*.f64 (-.f64 x y) #s(literal 1/2 binary64))) (*.f64 (-.f64 x y) (-.f64 x y))))
(*.f64 z #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) z)

simplify314.0ms (3.9%)

Memory
38.5MiB live, 533.8MiB allocated
Algorithm
egg-herbie
Rules
9 634×accelerator-lowering-fma.f32
9 634×accelerator-lowering-fma.f64
3 970×*-lowering-*.f32
3 970×*-lowering-*.f64
1 970×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01271088
13901087
211191031
33263885
08234800
Stop Event
iter limit
node limit
Counts
144 → 144
Calls
Call 1
Inputs
(* -4 (/ (+ y (* 1/2 z)) z))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(* 4 (/ x z))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* 4 (/ x z))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* 4 (/ (- x (* 1/2 z)) z))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(* -4 (/ y z))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* -4 (/ y z))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* 4 (/ (- x y) z))
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
-2
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
-2
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(* -1 (+ y (* 1/2 z)))
(- x (+ y (* 1/2 z)))
(- x (+ y (* 1/2 z)))
(- x (+ y (* 1/2 z)))
x
(* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x))))
(* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x))))
(* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x))))
x
(* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1)))
(* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1)))
(* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1)))
(- x (* 1/2 z))
(- (+ x (* -1 y)) (* 1/2 z))
(- (+ x (* -1 y)) (* 1/2 z))
(- (+ x (* -1 y)) (* 1/2 z))
(* -1 y)
(* y (- (/ x y) (+ 1 (* 1/2 (/ z y)))))
(* y (- (/ x y) (+ 1 (* 1/2 (/ z y)))))
(* y (- (/ x y) (+ 1 (* 1/2 (/ z y)))))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y)))))
(- x y)
(- (+ x (* -1/2 z)) y)
(- (+ x (* -1/2 z)) y)
(- (+ x (* -1/2 z)) y)
(* -1/2 z)
(* z (- (/ x z) (+ 1/2 (/ y z))))
(* z (- (/ x z) (+ 1/2 (/ y z))))
(* z (- (/ x z) (+ 1/2 (/ y z))))
(* -1/2 z)
(* -1 (* z (+ 1/2 (* -1 (/ (- x y) z)))))
(* -1 (* z (+ 1/2 (* -1 (/ (- x y) z)))))
(* -1 (* z (+ 1/2 (* -1 (/ (- x y) z)))))
(* -1 y)
(- x y)
(- x y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -4 (+ y (* 1/2 z)))
(+ (* -4 (+ y (* 1/2 z))) (* 4 x))
(+ (* -4 (+ y (* 1/2 z))) (* 4 x))
(+ (* -4 (+ y (* 1/2 z))) (* 4 x))
(* 4 x)
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))
(* 4 x)
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))
(* 4 (- x (* 1/2 z)))
(+ (* -4 y) (* 4 (- x (* 1/2 z))))
(+ (* -4 y) (* 4 (- x (* 1/2 z))))
(+ (* -4 y) (* 4 (- x (* 1/2 z))))
(* -4 y)
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))
(* -4 y)
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))
(* 4 (- x y))
(+ (* -2 z) (* 4 (- x y)))
(+ (* -2 z) (* 4 (- x y)))
(+ (* -2 z) (* 4 (- x y)))
(* -2 z)
(* z (- (* 4 (/ (- x y) z)) 2))
(* z (- (* 4 (/ (- x y) z)) 2))
(* z (- (* 4 (/ (- x y) z)) 2))
(* -2 z)
(* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))
(* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))
(* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))
(* 1/2 z)
(* 1/2 z)
(* 1/2 z)
(* 1/2 z)
(* 1/2 z)
(* 1/2 z)
(* 1/2 z)
(* 1/2 z)
(* 1/2 z)
(* 1/2 z)
(* 1/2 z)
(* 1/2 z)
Outputs
(* -4 (/ (+ y (* 1/2 z)) z))
(-.f64 #s(literal 0 binary64) (fma.f64 y (/.f64 #s(literal 4 binary64) z) #s(literal 2 binary64)))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 y x) z) #s(literal -2 binary64))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 y x) z) #s(literal -2 binary64))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 y x) z) #s(literal -2 binary64))
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 y x) z) #s(literal -2 binary64))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 y x) z) #s(literal -2 binary64))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 y x) z) #s(literal -2 binary64))
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 y x) z) #s(literal -2 binary64))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 y x) z) #s(literal -2 binary64))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 y x) z) #s(literal -2 binary64))
(* 4 (/ (- x (* 1/2 z)) z))
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 y x) z) #s(literal -2 binary64))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 y x) z) #s(literal -2 binary64))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 y x) z) #s(literal -2 binary64))
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 y x) z) #s(literal -2 binary64))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 y x) z) #s(literal -2 binary64))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 y x) z) #s(literal -2 binary64))
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 y x) z) #s(literal -2 binary64))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 y x) z) #s(literal -2 binary64))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 y x) z) #s(literal -2 binary64))
(* 4 (/ (- x y) z))
(/.f64 (*.f64 #s(literal -4 binary64) (-.f64 y x)) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/.f64 (fma.f64 #s(literal -4 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal 0 binary64)) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/.f64 (fma.f64 #s(literal -4 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal 0 binary64)) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/.f64 (fma.f64 #s(literal -4 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal 0 binary64)) z)
-2
#s(literal -2 binary64)
(- (* 4 (/ (- x y) z)) 2)
(fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 y x) z) #s(literal -2 binary64))
(- (* 4 (/ (- x y) z)) 2)
(fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 y x) z) #s(literal -2 binary64))
(- (* 4 (/ (- x y) z)) 2)
(fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 y x) z) #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(- (* 4 (/ (- x y) z)) 2)
(fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 y x) z) #s(literal -2 binary64))
(- (* 4 (/ (- x y) z)) 2)
(fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 y x) z) #s(literal -2 binary64))
(- (* 4 (/ (- x y) z)) 2)
(fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 y x) z) #s(literal -2 binary64))
(* -1 (+ y (* 1/2 z)))
(-.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 0 binary64)) y)
(- x (+ y (* 1/2 z)))
(-.f64 x (fma.f64 #s(literal 1/2 binary64) z y))
(- x (+ y (* 1/2 z)))
(-.f64 x (fma.f64 #s(literal 1/2 binary64) z y))
(- x (+ y (* 1/2 z)))
(-.f64 x (fma.f64 #s(literal 1/2 binary64) z y))
x
(* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x))))
(-.f64 x (fma.f64 #s(literal 1/2 binary64) z y))
(* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x))))
(-.f64 x (fma.f64 #s(literal 1/2 binary64) z y))
(* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x))))
(-.f64 x (fma.f64 #s(literal 1/2 binary64) z y))
x
(* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1)))
(-.f64 x (fma.f64 #s(literal 1/2 binary64) z y))
(* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1)))
(-.f64 x (fma.f64 #s(literal 1/2 binary64) z y))
(* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1)))
(-.f64 x (fma.f64 #s(literal 1/2 binary64) z y))
(- x (* 1/2 z))
(fma.f64 z #s(literal -1/2 binary64) x)
(- (+ x (* -1 y)) (* 1/2 z))
(-.f64 x (fma.f64 #s(literal 1/2 binary64) z y))
(- (+ x (* -1 y)) (* 1/2 z))
(-.f64 x (fma.f64 #s(literal 1/2 binary64) z y))
(- (+ x (* -1 y)) (* 1/2 z))
(-.f64 x (fma.f64 #s(literal 1/2 binary64) z y))
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* y (- (/ x y) (+ 1 (* 1/2 (/ z y)))))
(-.f64 x (fma.f64 #s(literal 1/2 binary64) z y))
(* y (- (/ x y) (+ 1 (* 1/2 (/ z y)))))
(-.f64 x (fma.f64 #s(literal 1/2 binary64) z y))
(* y (- (/ x y) (+ 1 (* 1/2 (/ z y)))))
(-.f64 x (fma.f64 #s(literal 1/2 binary64) z y))
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y)))))
(-.f64 x (fma.f64 #s(literal 1/2 binary64) z y))
(* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y)))))
(-.f64 x (fma.f64 #s(literal 1/2 binary64) z y))
(* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y)))))
(-.f64 x (fma.f64 #s(literal 1/2 binary64) z y))
(- x y)
(-.f64 x y)
(- (+ x (* -1/2 z)) y)
(-.f64 x (fma.f64 #s(literal 1/2 binary64) z y))
(- (+ x (* -1/2 z)) y)
(-.f64 x (fma.f64 #s(literal 1/2 binary64) z y))
(- (+ x (* -1/2 z)) y)
(-.f64 x (fma.f64 #s(literal 1/2 binary64) z y))
(* -1/2 z)
(fma.f64 z #s(literal -1/2 binary64) #s(literal 0 binary64))
(* z (- (/ x z) (+ 1/2 (/ y z))))
(-.f64 x (fma.f64 #s(literal 1/2 binary64) z y))
(* z (- (/ x z) (+ 1/2 (/ y z))))
(-.f64 x (fma.f64 #s(literal 1/2 binary64) z y))
(* z (- (/ x z) (+ 1/2 (/ y z))))
(-.f64 x (fma.f64 #s(literal 1/2 binary64) z y))
(* -1/2 z)
(fma.f64 z #s(literal -1/2 binary64) #s(literal 0 binary64))
(* -1 (* z (+ 1/2 (* -1 (/ (- x y) z)))))
(-.f64 x (fma.f64 #s(literal 1/2 binary64) z y))
(* -1 (* z (+ 1/2 (* -1 (/ (- x y) z)))))
(-.f64 x (fma.f64 #s(literal 1/2 binary64) z y))
(* -1 (* z (+ 1/2 (* -1 (/ (- x y) z)))))
(-.f64 x (fma.f64 #s(literal 1/2 binary64) z y))
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
x
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
x
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -4 (+ y (* 1/2 z)))
(*.f64 #s(literal -4 binary64) (fma.f64 #s(literal 1/2 binary64) z y))
(+ (* -4 (+ y (* 1/2 z))) (* 4 x))
(fma.f64 #s(literal -4 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal 0 binary64))
(+ (* -4 (+ y (* 1/2 z))) (* 4 x))
(fma.f64 #s(literal -4 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal 0 binary64))
(+ (* -4 (+ y (* 1/2 z))) (* 4 x))
(fma.f64 #s(literal -4 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal 0 binary64))
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))
(fma.f64 #s(literal -4 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal 0 binary64))
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))
(fma.f64 #s(literal -4 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal 0 binary64))
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))
(fma.f64 #s(literal -4 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal 0 binary64))
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))
(fma.f64 #s(literal -4 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal 0 binary64))
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))
(fma.f64 #s(literal -4 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal 0 binary64))
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))
(fma.f64 #s(literal -4 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal 0 binary64))
(* 4 (- x (* 1/2 z)))
(fma.f64 z #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) x))
(+ (* -4 y) (* 4 (- x (* 1/2 z))))
(fma.f64 #s(literal -4 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal 0 binary64))
(+ (* -4 y) (* 4 (- x (* 1/2 z))))
(fma.f64 #s(literal -4 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal 0 binary64))
(+ (* -4 y) (* 4 (- x (* 1/2 z))))
(fma.f64 #s(literal -4 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal 0 binary64))
(* -4 y)
(*.f64 #s(literal -4 binary64) y)
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))
(fma.f64 #s(literal -4 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal 0 binary64))
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))
(fma.f64 #s(literal -4 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal 0 binary64))
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))
(fma.f64 #s(literal -4 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal 0 binary64))
(* -4 y)
(*.f64 #s(literal -4 binary64) y)
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))
(fma.f64 #s(literal -4 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal 0 binary64))
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))
(fma.f64 #s(literal -4 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal 0 binary64))
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))
(fma.f64 #s(literal -4 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal 0 binary64))
(* 4 (- x y))
(*.f64 #s(literal -4 binary64) (-.f64 y x))
(+ (* -2 z) (* 4 (- x y)))
(fma.f64 #s(literal -4 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal 0 binary64))
(+ (* -2 z) (* 4 (- x y)))
(fma.f64 #s(literal -4 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal 0 binary64))
(+ (* -2 z) (* 4 (- x y)))
(fma.f64 #s(literal -4 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal 0 binary64))
(* -2 z)
(*.f64 z #s(literal -2 binary64))
(* z (- (* 4 (/ (- x y) z)) 2))
(fma.f64 #s(literal -4 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal 0 binary64))
(* z (- (* 4 (/ (- x y) z)) 2))
(fma.f64 #s(literal -4 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal 0 binary64))
(* z (- (* 4 (/ (- x y) z)) 2))
(fma.f64 #s(literal -4 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal 0 binary64))
(* -2 z)
(*.f64 z #s(literal -2 binary64))
(* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))
(fma.f64 #s(literal -4 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal 0 binary64))
(* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))
(fma.f64 #s(literal -4 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal 0 binary64))
(* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))
(fma.f64 #s(literal -4 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal 0 binary64))
(* 1/2 z)
(fma.f64 #s(literal 1/2 binary64) z #s(literal 0 binary64))
(* 1/2 z)
(fma.f64 #s(literal 1/2 binary64) z #s(literal 0 binary64))
(* 1/2 z)
(fma.f64 #s(literal 1/2 binary64) z #s(literal 0 binary64))
(* 1/2 z)
(fma.f64 #s(literal 1/2 binary64) z #s(literal 0 binary64))
(* 1/2 z)
(fma.f64 #s(literal 1/2 binary64) z #s(literal 0 binary64))
(* 1/2 z)
(fma.f64 #s(literal 1/2 binary64) z #s(literal 0 binary64))
(* 1/2 z)
(fma.f64 #s(literal 1/2 binary64) z #s(literal 0 binary64))
(* 1/2 z)
(fma.f64 #s(literal 1/2 binary64) z #s(literal 0 binary64))
(* 1/2 z)
(fma.f64 #s(literal 1/2 binary64) z #s(literal 0 binary64))
(* 1/2 z)
(fma.f64 #s(literal 1/2 binary64) z #s(literal 0 binary64))
(* 1/2 z)
(fma.f64 #s(literal 1/2 binary64) z #s(literal 0 binary64))
(* 1/2 z)
(fma.f64 #s(literal 1/2 binary64) z #s(literal 0 binary64))

eval64.0ms (0.8%)

Memory
-20.1MiB live, 144.7MiB allocated
Compiler

Compiled 12 480 to 1 360 computations (89.1% saved)

prune55.0ms (0.7%)

Memory
34.6MiB live, 154.1MiB allocated
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New4757482
Fresh000
Picked101
Done000
Total4767483
Accuracy
100.0%
Counts
483 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
64.9%
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
100.0%
(fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 y x) z) #s(literal -2 binary64))
69.9%
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
36.8%
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
37.2%
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
99.7%
(/.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y))) z))
30.0%
#s(literal -2 binary64)
Compiler

Compiled 130 to 98 computations (24.6% saved)

simplify99.0ms (1.2%)

Memory
-17.1MiB live, 100.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 x z)
cost-diff0
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
cost-diff-64
(*.f64 #s(literal 4 binary64) x)
cost-diff0
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
cost-diff-64
(*.f64 #s(literal -4 binary64) y)
cost-diff0
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
cost-diff0
(-.f64 y x)
cost-diff0
(/.f64 (-.f64 y x) z)
cost-diff0
(fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 y x) z) #s(literal -2 binary64))
Rules
1 184×accelerator-lowering-fma.f32
1 184×accelerator-lowering-fma.f64
544×*-lowering-*.f32
544×*-lowering-*.f64
326×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01759
13059
24859
37659
413659
522859
638459
762559
8103559
9170559
10189059
11195359
12198659
13198659
0198657
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(+ (* -4 (/ (- y x) z)) -2)
-4
(/ (- y x) z)
(- y x)
y
x
z
-2
-2
(/ (* -4 y) z)
(* -4 y)
-4
y
z
(/ (* 4 x) z)
(* 4 x)
4
x
z
(+ (* 4 (/ x z)) -2)
4
(/ x z)
x
z
-2
Outputs
(+ (* -4 (/ (- y x) z)) -2)
(fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 y x) z) #s(literal -2 binary64))
-4
#s(literal -4 binary64)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(- y x)
(-.f64 y x)
y
x
z
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
(/ (* -4 y) z)
(/.f64 (fma.f64 #s(literal -4 binary64) y #s(literal 0 binary64)) z)
(* -4 y)
(fma.f64 #s(literal -4 binary64) y #s(literal 0 binary64))
-4
#s(literal -4 binary64)
y
z
(/ (* 4 x) z)
(/.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 0 binary64)) z)
(* 4 x)
(fma.f64 x #s(literal 4 binary64) #s(literal 0 binary64))
4
#s(literal 4 binary64)
x
z
(+ (* 4 (/ x z)) -2)
(fma.f64 x (/.f64 #s(literal 4 binary64) z) #s(literal -2 binary64))
4
#s(literal 4 binary64)
(/ x z)
(/.f64 x z)
x
z
-2
#s(literal -2 binary64)

localize52.0ms (0.6%)

Memory
18.9MiB live, 97.2MiB allocated
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
accuracy100.0%
(/.f64 x z)
accuracy100.0%
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
accuracy100.0%
(*.f64 #s(literal 4 binary64) x)
accuracy100.0%
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
accuracy100.0%
(*.f64 #s(literal -4 binary64) y)
accuracy100.0%
(fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 y x) z) #s(literal -2 binary64))
accuracy100.0%
(-.f64 y x)
accuracy100.0%
(/.f64 (-.f64 y x) z)
Samples
33.0ms256×0valid
Compiler

Compiled 59 to 19 computations (67.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-div: 7.0ms (37.9% of total)
ival-mult: 6.0ms (32.5% of total)
ival-sub: 3.0ms (16.2% of total)
ival-add: 2.0ms (10.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series43.0ms (0.5%)

Memory
-22.9MiB live, 15.0MiB allocated
Counts
9 → 216
Calls
Call 1
Inputs
#<alt (+ (* -4 (/ (- y x) z)) -2)>
#<alt (/ (- y x) z)>
#<alt (- y x)>
#<alt (/ (* -4 y) z)>
#<alt (* -4 y)>
#<alt (/ (* 4 x) z)>
#<alt (* 4 x)>
#<alt (+ (* 4 (/ x z)) -2)>
#<alt (/ x z)>
Outputs
#<alt (- (* 4 (/ x z)) 2)>
#<alt (- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)>
#<alt (- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)>
#<alt (- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)>
#<alt (* -4 (/ y z))>
#<alt (* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))>
#<alt (* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))>
#<alt (* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))>
#<alt (* -4 (/ y z))>
#<alt (* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))>
#<alt (- (* -4 (/ y z)) 2)>
#<alt (- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)>
#<alt (- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)>
#<alt (- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)>
#<alt (* 4 (/ x z))>
#<alt (* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))>
#<alt (* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))>
#<alt (* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))>
#<alt (* 4 (/ x z))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))>
#<alt (* -4 (/ (- y x) z))>
#<alt (/ (+ (* -4 (- y x)) (* -2 z)) z)>
#<alt (/ (+ (* -4 (- y x)) (* -2 z)) z)>
#<alt (/ (+ (* -4 (- y x)) (* -2 z)) z)>
#<alt -2>
#<alt (- (* -4 (/ (- y x) z)) 2)>
#<alt (- (* -4 (/ (- y x) z)) 2)>
#<alt (- (* -4 (/ (- y x) z)) 2)>
#<alt -2>
#<alt (- (* -4 (/ (- y x) z)) 2)>
#<alt (- (* -4 (/ (- y x) z)) 2)>
#<alt (- (* -4 (/ (- y x) z)) 2)>
#<alt (* -1 (/ x z))>
#<alt (+ (* -1 (/ x z)) (/ y z))>
#<alt (+ (* -1 (/ x z)) (/ y z))>
#<alt (+ (* -1 (/ x z)) (/ y z))>
#<alt (/ y z)>
#<alt (* y (+ (* -1 (/ x (* y z))) (/ 1 z)))>
#<alt (* y (+ (* -1 (/ x (* y z))) (/ 1 z)))>
#<alt (* y (+ (* -1 (/ x (* y z))) (/ 1 z)))>
#<alt (/ y z)>
#<alt (* -1 (* y (- (/ x (* y z)) (/ 1 z))))>
#<alt (* -1 (* y (- (/ x (* y z)) (/ 1 z))))>
#<alt (* -1 (* y (- (/ x (* y z)) (/ 1 z))))>
#<alt (/ y z)>
#<alt (+ (* -1 (/ x z)) (/ y z))>
#<alt (+ (* -1 (/ x z)) (/ y z))>
#<alt (+ (* -1 (/ x z)) (/ y z))>
#<alt (* -1 (/ x z))>
#<alt (* x (- (/ y (* x z)) (/ 1 z)))>
#<alt (* x (- (/ y (* x z)) (/ 1 z)))>
#<alt (* x (- (/ y (* x z)) (/ 1 z)))>
#<alt (* -1 (/ x z))>
#<alt (* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))>
#<alt (* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))>
#<alt (* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))>
#<alt (/ (- y x) z)>
#<alt (/ (- y x) z)>
#<alt (/ (- y x) z)>
#<alt (/ (- y x) z)>
#<alt (/ (- y x) z)>
#<alt (/ (- y x) z)>
#<alt (/ (- y x) z)>
#<alt (/ (- y x) z)>
#<alt (/ (- y x) z)>
#<alt (/ (- y x) z)>
#<alt (/ (- y x) z)>
#<alt (/ (- y x) z)>
#<alt (* -1 x)>
#<alt (- y x)>
#<alt (- y x)>
#<alt (- y x)>
#<alt y>
#<alt (* y (+ 1 (* -1 (/ x y))))>
#<alt (* y (+ 1 (* -1 (/ x y))))>
#<alt (* y (+ 1 (* -1 (/ x y))))>
#<alt y>
#<alt (* -1 (* y (- (/ x y) 1)))>
#<alt (* -1 (* y (- (/ x y) 1)))>
#<alt (* -1 (* y (- (/ x y) 1)))>
#<alt y>
#<alt (+ y (* -1 x))>
#<alt (+ y (* -1 x))>
#<alt (+ y (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ y x) 1))>
#<alt (* x (- (/ y x) 1))>
#<alt (* x (- (/ y x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ y x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ y x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ y x)))))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y 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 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<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 -2>
#<alt (- (* 4 (/ x z)) 2)>
#<alt (- (* 4 (/ x z)) 2)>
#<alt (- (* 4 (/ x z)) 2)>
#<alt (* 4 (/ x z))>
#<alt (* x (- (* 4 (/ 1 z)) (* 2 (/ 1 x))))>
#<alt (* x (- (* 4 (/ 1 z)) (* 2 (/ 1 x))))>
#<alt (* x (- (* 4 (/ 1 z)) (* 2 (/ 1 x))))>
#<alt (* 4 (/ x z))>
#<alt (* -1 (* x (- (* 2 (/ 1 x)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* x (- (* 2 (/ 1 x)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* x (- (* 2 (/ 1 x)) (* 4 (/ 1 z)))))>
#<alt (* 4 (/ x z))>
#<alt (/ (+ (* -2 z) (* 4 x)) z)>
#<alt (/ (+ (* -2 z) (* 4 x)) z)>
#<alt (/ (+ (* -2 z) (* 4 x)) z)>
#<alt -2>
#<alt (- (* 4 (/ x z)) 2)>
#<alt (- (* 4 (/ x z)) 2)>
#<alt (- (* 4 (/ x z)) 2)>
#<alt -2>
#<alt (- (* 4 (/ x z)) 2)>
#<alt (- (* 4 (/ x z)) 2)>
#<alt (- (* 4 (/ x z)) 2)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
Calls

54 calls:

TimeVariablePointExpression
27.0ms
z
@inf
(/ (- y x) z)
3.0ms
z
@inf
(/ (* -4 y) z)
1.0ms
y
@inf
(/ (* -4 y) z)
1.0ms
y
@inf
(+ (* -4 (/ (- y x) z)) -2)
0.0ms
z
@0
(/ (* -4 y) z)

rewrite475.0ms (5.9%)

Memory
10.9MiB live, 611.6MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 094×accelerator-lowering-fma.f32
6 094×accelerator-lowering-fma.f64
5 286×*-lowering-*.f32
5 286×*-lowering-*.f64
3 870×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01743
18843
270343
0805241
Stop Event
iter limit
node limit
Counts
9 → 498
Calls
Call 1
Inputs
(+ (* -4 (/ (- y x) z)) -2)
(/ (- y x) z)
(- y x)
(/ (* -4 y) z)
(* -4 y)
(/ (* 4 x) z)
(* 4 x)
(+ (* 4 (/ x z)) -2)
(/ x z)
Outputs
(+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (-.f64 y x)) z) #s(literal -2 binary64))
(+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (-.f64 y x)) z))
(+.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 (-.f64 y x) (-.f64 y x))) (*.f64 (fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal 2 binary64)) (*.f64 z z))) (neg.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (-.f64 x y) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)))))
(-.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 (-.f64 y x) (-.f64 y x))) (*.f64 (fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal 2 binary64)) (*.f64 z z))) (/.f64 #s(literal -4 binary64) (fma.f64 (-.f64 x y) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal 4 binary64) (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 (-.f64 y x) #s(literal 4 binary64)) z))) (/.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 (-.f64 y x) (-.f64 y x))) (*.f64 z z)) (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 (-.f64 y x) #s(literal 4 binary64)) z))))
(fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 y x) z) #s(literal -2 binary64))
(fma.f64 #s(literal -4 binary64) (/.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal -4 binary64) (-.f64 y x)) z) (-.f64 y x)) z) (fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (-.f64 x y) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)))))
(fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
(fma.f64 (/.f64 (-.f64 y x) z) #s(literal -4 binary64) #s(literal -2 binary64))
(fma.f64 (/.f64 (-.f64 y x) z) (/.f64 (*.f64 (/.f64 (-.f64 y x) z) #s(literal 16 binary64)) (fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (-.f64 x y) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)))))
(fma.f64 (/.f64 (*.f64 #s(literal -4 binary64) (-.f64 y x)) z) (/.f64 (/.f64 (*.f64 #s(literal -4 binary64) (-.f64 y x)) z) (fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (-.f64 x y) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z) #s(literal -2 binary64))
(fma.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) z) #s(literal -2 binary64))
(fma.f64 (-.f64 x y) (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -4 binary64)) #s(literal -2 binary64))
(fma.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 (-.f64 y x) (-.f64 y x))) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (-.f64 x y) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)))))
(fma.f64 (*.f64 (-.f64 y x) (fma.f64 x (+.f64 y x) (*.f64 y y))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y x) (*.f64 y y))) (/.f64 #s(literal -4 binary64) z)) #s(literal -2 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (-.f64 y x)) z) #s(literal -2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 #s(literal -4 binary64) (-.f64 y x)) #s(literal -2 binary64))
(fma.f64 (*.f64 (-.f64 y x) (+.f64 y x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (/.f64 #s(literal -4 binary64) z)) #s(literal -2 binary64))
(fma.f64 (*.f64 #s(literal -4 binary64) (-.f64 y x)) (/.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))
(fma.f64 (*.f64 (-.f64 y x) #s(literal 4 binary64)) (/.f64 #s(literal -1 binary64) z) #s(literal -2 binary64))
(fma.f64 #s(literal 16 binary64) (/.f64 (*.f64 (/.f64 (-.f64 x y) z) (/.f64 (-.f64 x y) z)) (fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (-.f64 x y) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)))))
(fma.f64 (*.f64 (/.f64 (-.f64 x y) z) (/.f64 (-.f64 x y) z)) (/.f64 #s(literal 16 binary64) (fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (-.f64 x y) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)))))
(fma.f64 (*.f64 (/.f64 (-.f64 y x) z) #s(literal 16 binary64)) (/.f64 (/.f64 (-.f64 y x) z) (fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (-.f64 x y) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)))))
(fma.f64 (/.f64 #s(literal -4 binary64) z) (-.f64 y x) #s(literal -2 binary64))
(fma.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal -4 binary64) (-.f64 y x)) z) (-.f64 y x)) z) (/.f64 #s(literal -4 binary64) (fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (-.f64 x y) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)))))
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
(fma.f64 (/.f64 (-.f64 x y) #s(literal -1 binary64)) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
(fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) (-.f64 y x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))
(fma.f64 (/.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 (-.f64 y x) (-.f64 y x))) (*.f64 z z)) (+.f64 #s(literal -4 binary64) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 (-.f64 y x) (-.f64 y x))) (*.f64 z z)))) (fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)) (neg.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (-.f64 x y) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)))))
(fma.f64 (/.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 (-.f64 y x) (-.f64 y x))) (*.f64 z z)) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) (-.f64 y x)) (*.f64 #s(literal 16 binary64) (*.f64 (-.f64 y x) (-.f64 y x)))) (*.f64 z (*.f64 z z))) #s(literal 8 binary64))) (+.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 (-.f64 y x) (-.f64 y x))) (*.f64 z z)) (fma.f64 (/.f64 (-.f64 y x) z) #s(literal 8 binary64) #s(literal 4 binary64))) (neg.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (-.f64 x y) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)))))
(neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) (-.f64 y x)) (*.f64 #s(literal 16 binary64) (*.f64 (-.f64 y x) (-.f64 y x)))) (*.f64 z (*.f64 z z))) #s(literal -8 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (-.f64 y x) z) (-.f64 (*.f64 (/.f64 (-.f64 y x) z) #s(literal 16 binary64)) #s(literal 8 binary64)) #s(literal 4 binary64)))))
(neg.f64 (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 (-.f64 y x) (-.f64 y x))) (*.f64 z z))) (fma.f64 (-.f64 x y) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))))
(neg.f64 (/.f64 (+.f64 #s(literal 8 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) (-.f64 y x)) (*.f64 #s(literal 16 binary64) (*.f64 (-.f64 y x) (-.f64 y x)))) (*.f64 z (*.f64 z z))))) (fma.f64 (/.f64 (-.f64 y x) z) (-.f64 (*.f64 (/.f64 (-.f64 y x) z) #s(literal 16 binary64)) #s(literal 8 binary64)) #s(literal 4 binary64))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -4 binary64) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 (-.f64 y x) (-.f64 y x))) (*.f64 z z)))) (fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal 2 binary64))))
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) (-.f64 y x)) (*.f64 #s(literal 16 binary64) (*.f64 (-.f64 y x) (-.f64 y x)))) (*.f64 z (*.f64 z z))) #s(literal -8 binary64)) (fma.f64 (/.f64 (-.f64 y x) z) (-.f64 (*.f64 (/.f64 (-.f64 y x) z) #s(literal 16 binary64)) #s(literal 8 binary64)) #s(literal 4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 (-.f64 y x) #s(literal 4 binary64)) z)) (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 (-.f64 y x) (-.f64 y x))) (*.f64 z z)))))
(/.f64 (+.f64 #s(literal -4 binary64) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 (-.f64 y x) (-.f64 y x))) (*.f64 z z))) (fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)))))
(/.f64 (+.f64 #s(literal 8 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) (-.f64 y x)) (*.f64 #s(literal 16 binary64) (*.f64 (-.f64 y x) (-.f64 y x)))) (*.f64 z (*.f64 z z))))) (-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (-.f64 y x) z) (-.f64 (*.f64 (/.f64 (-.f64 y x) z) #s(literal 16 binary64)) #s(literal 8 binary64)) #s(literal 4 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -4 binary64) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 (-.f64 y x) (-.f64 y x))) (*.f64 z z)))) (fma.f64 (-.f64 x y) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 #s(literal -4 binary64) (-.f64 y x)) z) #s(literal 9 binary64)) #s(literal -512 binary64)) (*.f64 (fma.f64 (/.f64 (-.f64 y x) z) (-.f64 (*.f64 (/.f64 (-.f64 y x) z) #s(literal 16 binary64)) #s(literal 8 binary64)) #s(literal 4 binary64)) (-.f64 (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) (-.f64 y x)) (*.f64 #s(literal 16 binary64) (*.f64 (-.f64 y x) (-.f64 y x)))) (*.f64 z (*.f64 z z))) (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) (-.f64 y x)) (*.f64 #s(literal 16 binary64) (*.f64 (-.f64 y x) (-.f64 y x)))) (*.f64 z (*.f64 z z))) #s(literal 64 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) (-.f64 y x)) (*.f64 #s(literal 16 binary64) (*.f64 (-.f64 y x) (-.f64 y x)))) #s(literal -8 binary64)) (*.f64 z (*.f64 z z))))))
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) (-.f64 y x)) (*.f64 #s(literal 16 binary64) (*.f64 (-.f64 y x) (-.f64 y x)))) (*.f64 z (*.f64 z z))) (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) (-.f64 y x)) (*.f64 #s(literal 16 binary64) (*.f64 (-.f64 y x) (-.f64 y x)))) (*.f64 z (*.f64 z z))) #s(literal -64 binary64)) (*.f64 (fma.f64 (/.f64 (-.f64 y x) z) (-.f64 (*.f64 (/.f64 (-.f64 y x) z) #s(literal 16 binary64)) #s(literal 8 binary64)) #s(literal 4 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) (-.f64 y x)) (*.f64 #s(literal 16 binary64) (*.f64 (-.f64 y x) (-.f64 y x)))) (*.f64 z (*.f64 z z))) #s(literal 8 binary64))))
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) (-.f64 y x)) (*.f64 #s(literal 16 binary64) (*.f64 (-.f64 y x) (-.f64 y x)))) (*.f64 z (*.f64 z z))) (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) (-.f64 y x)) (*.f64 #s(literal 16 binary64) (*.f64 (-.f64 y x) (-.f64 y x)))) (*.f64 z (*.f64 z z))) #s(literal -64 binary64)) (*.f64 (fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal 2 binary64)) (fma.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 (-.f64 y x) (-.f64 y x))) (*.f64 z z)) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 (-.f64 y x) (-.f64 y x))) (*.f64 z z)) (fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 (-.f64 y x) (-.f64 y x))) (*.f64 z z)) #s(literal 16 binary64)))))
(/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 (-.f64 y x) (-.f64 y x))) (*.f64 z z))) (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 (-.f64 y x) #s(literal 4 binary64)) z)))
(/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 (-.f64 y x) (-.f64 y x))) (*.f64 z z)) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 (-.f64 y x) (-.f64 y x))) (*.f64 z z)) #s(literal -16 binary64)) (*.f64 (fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal 2 binary64)) (+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 (-.f64 y x) (-.f64 y x))) (*.f64 z z)))))
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(*.f64 (+.f64 #s(literal -4 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 #s(literal 4 binary64) z) #s(literal 2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 64 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z))) #s(literal -8 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 x z) (-.f64 (*.f64 (/.f64 x z) #s(literal 16 binary64)) #s(literal -8 binary64)) #s(literal 4 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -4 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 x z) #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x z) (-.f64 (*.f64 (/.f64 x z) #s(literal 16 binary64)) #s(literal -8 binary64)) #s(literal 4 binary64))) (fma.f64 #s(literal 64 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z))) #s(literal -8 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 #s(literal 4 binary64) z) #s(literal 2 binary64))) (+.f64 #s(literal -4 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 z z))))
(*.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) (*.f64 x (/.f64 #s(literal 4 binary64) z)))))
(*.f64 (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 z z))) (+.f64 #s(literal -4 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 z z)))) (fma.f64 x (/.f64 #s(literal 4 binary64) z) #s(literal -2 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal 64 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z))) #s(literal -8 binary64)) (fma.f64 (fma.f64 (/.f64 x z) #s(literal 8 binary64) #s(literal 4 binary64)) (*.f64 (fma.f64 (/.f64 x z) #s(literal 8 binary64) #s(literal 4 binary64)) (fma.f64 (/.f64 x z) #s(literal 8 binary64) #s(literal 4 binary64))) (*.f64 #s(literal 4096 binary64) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z))))))) (fma.f64 (fma.f64 (/.f64 x z) #s(literal 8 binary64) #s(literal 4 binary64)) (-.f64 (fma.f64 (/.f64 x z) #s(literal 8 binary64) #s(literal 4 binary64)) (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 z z))) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 z z)) (*.f64 (*.f64 x x) #s(literal 16 binary64))) (*.f64 z z))))
(*.f64 (/.f64 (fma.f64 #s(literal 64 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z))) #s(literal -8 binary64)) (*.f64 (fma.f64 (/.f64 x z) (-.f64 (*.f64 (/.f64 x z) #s(literal 16 binary64)) #s(literal -8 binary64)) #s(literal 4 binary64)) (-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 z z)) (fma.f64 (/.f64 x z) #s(literal 8 binary64) #s(literal 4 binary64))))) (-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 z z)) (fma.f64 (/.f64 x z) #s(literal 8 binary64) #s(literal 4 binary64))))
(*.f64 (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 z z))) (fma.f64 #s(literal 64 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z))) #s(literal 8 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 z z)) (fma.f64 (/.f64 x z) #s(literal -8 binary64) #s(literal 4 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 z x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x z)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) z)) (-.f64 #s(literal 0 binary64) (/.f64 x z)))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 x z)))
(/.f64 x z)
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 z x))
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 z (-.f64 #s(literal 0 binary64) x)))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) z)
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) z))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) z))
(pow.f64 (/.f64 z x) #s(literal -1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 x z) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) z))
(*.f64 #s(literal 1 binary64) (/.f64 x z))
(*.f64 (/.f64 #s(literal 1 binary64) z) x)
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x z)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 #s(literal 0 binary64) x))
(*.f64 (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1 binary64) z))

simplify355.0ms (4.4%)

Memory
-34.4MiB live, 424.9MiB allocated
Algorithm
egg-herbie
Rules
6 516×accelerator-lowering-fma.f32
6 516×accelerator-lowering-fma.f64
2 442×*-lowering-*.f32
2 442×*-lowering-*.f64
1 662×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0921246
12611156
27551060
323101060
452321060
574451060
080111013
Stop Event
iter limit
node limit
Counts
216 → 216
Calls
Call 1
Inputs
(- (* 4 (/ x z)) 2)
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(* -4 (/ y z))
(* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(* -4 (/ y z))
(* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))
(- (* -4 (/ y z)) 2)
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(* 4 (/ x z))
(* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))
(* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))
(* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))
(* 4 (/ x z))
(* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))
(* -4 (/ (- y x) z))
(/ (+ (* -4 (- y x)) (* -2 z)) z)
(/ (+ (* -4 (- y x)) (* -2 z)) z)
(/ (+ (* -4 (- y x)) (* -2 z)) z)
-2
(- (* -4 (/ (- y x) z)) 2)
(- (* -4 (/ (- y x) z)) 2)
(- (* -4 (/ (- y x) z)) 2)
-2
(- (* -4 (/ (- y x) z)) 2)
(- (* -4 (/ (- y x) z)) 2)
(- (* -4 (/ (- y x) z)) 2)
(* -1 (/ x z))
(+ (* -1 (/ x z)) (/ y z))
(+ (* -1 (/ x z)) (/ y z))
(+ (* -1 (/ x z)) (/ y z))
(/ y z)
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(/ y z)
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(/ y z)
(+ (* -1 (/ x z)) (/ y z))
(+ (* -1 (/ x z)) (/ y z))
(+ (* -1 (/ x z)) (/ y z))
(* -1 (/ x z))
(* x (- (/ y (* x z)) (/ 1 z)))
(* x (- (/ y (* x z)) (/ 1 z)))
(* x (- (/ y (* x z)) (/ 1 z)))
(* -1 (/ x z))
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(* -1 x)
(- y x)
(- y x)
(- y x)
y
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
y
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
y
(+ y (* -1 x))
(+ y (* -1 x))
(+ y (* -1 x))
(* -1 x)
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y 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 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
-2
(- (* 4 (/ x z)) 2)
(- (* 4 (/ x z)) 2)
(- (* 4 (/ x z)) 2)
(* 4 (/ x z))
(* x (- (* 4 (/ 1 z)) (* 2 (/ 1 x))))
(* x (- (* 4 (/ 1 z)) (* 2 (/ 1 x))))
(* x (- (* 4 (/ 1 z)) (* 2 (/ 1 x))))
(* 4 (/ x z))
(* -1 (* x (- (* 2 (/ 1 x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 2 (/ 1 x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 2 (/ 1 x)) (* 4 (/ 1 z)))))
(* 4 (/ x z))
(/ (+ (* -2 z) (* 4 x)) z)
(/ (+ (* -2 z) (* 4 x)) z)
(/ (+ (* -2 z) (* 4 x)) z)
-2
(- (* 4 (/ x z)) 2)
(- (* 4 (/ x z)) 2)
(- (* 4 (/ x z)) 2)
-2
(- (* 4 (/ x z)) 2)
(- (* 4 (/ x z)) 2)
(- (* 4 (/ x z)) 2)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
Outputs
(- (* 4 (/ x z)) 2)
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
(* -4 (/ y z))
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal 0 binary64))
(* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
(* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
(* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
(* -4 (/ y z))
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal 0 binary64))
(* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
(* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
(* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
(- (* -4 (/ y z)) 2)
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
(* 4 (/ x z))
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 0 binary64))
(* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
(* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
(* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
(* 4 (/ x z))
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 0 binary64))
(* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
(* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
(* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
(* -4 (/ (- y x) z))
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal 0 binary64))
(/ (+ (* -4 (- y x)) (* -2 z)) z)
(/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x y) (*.f64 z #s(literal -2 binary64))) z)
(/ (+ (* -4 (- y x)) (* -2 z)) z)
(/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x y) (*.f64 z #s(literal -2 binary64))) z)
(/ (+ (* -4 (- y x)) (* -2 z)) z)
(/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x y) (*.f64 z #s(literal -2 binary64))) z)
-2
#s(literal -2 binary64)
(- (* -4 (/ (- y x) z)) 2)
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
(- (* -4 (/ (- y x) z)) 2)
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
(- (* -4 (/ (- y x) z)) 2)
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(- (* -4 (/ (- y x) z)) 2)
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
(- (* -4 (/ (- y x) z)) 2)
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
(- (* -4 (/ (- y x) z)) 2)
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
(* -1 (/ x z))
(-.f64 #s(literal 0 binary64) (/.f64 x z))
(+ (* -1 (/ x z)) (/ y z))
(/.f64 (-.f64 y x) z)
(+ (* -1 (/ x z)) (/ y z))
(/.f64 (-.f64 y x) z)
(+ (* -1 (/ x z)) (/ y z))
(/.f64 (-.f64 y x) z)
(/ y z)
(/.f64 y z)
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(/.f64 (-.f64 y x) z)
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(/.f64 (-.f64 y x) z)
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(/.f64 (-.f64 y x) z)
(/ y z)
(/.f64 y z)
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(/.f64 (-.f64 y x) z)
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(/.f64 (-.f64 y x) z)
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(/.f64 (-.f64 y x) z)
(/ y z)
(/.f64 y z)
(+ (* -1 (/ x z)) (/ y z))
(/.f64 (-.f64 y x) z)
(+ (* -1 (/ x z)) (/ y z))
(/.f64 (-.f64 y x) z)
(+ (* -1 (/ x z)) (/ y z))
(/.f64 (-.f64 y x) z)
(* -1 (/ x z))
(-.f64 #s(literal 0 binary64) (/.f64 x z))
(* x (- (/ y (* x z)) (/ 1 z)))
(/.f64 (-.f64 y x) z)
(* x (- (/ y (* x z)) (/ 1 z)))
(/.f64 (-.f64 y x) z)
(* x (- (/ y (* x z)) (/ 1 z)))
(/.f64 (-.f64 y x) z)
(* -1 (/ x z))
(-.f64 #s(literal 0 binary64) (/.f64 x z))
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(/.f64 (-.f64 y x) z)
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(/.f64 (-.f64 y x) z)
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(- y x)
(-.f64 y x)
(- y x)
(-.f64 y x)
(- y x)
(-.f64 y x)
y
(* y (+ 1 (* -1 (/ x y))))
(-.f64 y x)
(* y (+ 1 (* -1 (/ x y))))
(-.f64 y x)
(* y (+ 1 (* -1 (/ x y))))
(-.f64 y x)
y
(* -1 (* y (- (/ x y) 1)))
(-.f64 y x)
(* -1 (* y (- (/ x y) 1)))
(-.f64 y x)
(* -1 (* y (- (/ x y) 1)))
(-.f64 y x)
y
(+ y (* -1 x))
(-.f64 y x)
(+ y (* -1 x))
(-.f64 y x)
(+ y (* -1 x))
(-.f64 y x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (/ y x) 1))
(-.f64 y x)
(* x (- (/ y x) 1))
(-.f64 y x)
(* x (- (/ y x) 1))
(-.f64 y x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 y x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 y x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 y x)
(* -4 (/ y z))
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal 0 binary64))
(* -4 (/ y z))
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal 0 binary64))
(* -4 (/ y z))
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal 0 binary64))
(* -4 (/ y z))
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal 0 binary64))
(* -4 (/ y z))
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal 0 binary64))
(* -4 (/ y z))
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal 0 binary64))
(* -4 (/ y z))
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal 0 binary64))
(* -4 (/ y z))
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal 0 binary64))
(* -4 (/ y z))
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal 0 binary64))
(* -4 (/ y z))
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal 0 binary64))
(* -4 (/ y z))
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal 0 binary64))
(* -4 (/ y z))
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal 0 binary64))
(* -4 (/ y z))
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal 0 binary64))
(* -4 (/ y z))
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal 0 binary64))
(* -4 (/ y z))
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal 0 binary64))
(* -4 (/ y z))
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal 0 binary64))
(* -4 (/ y z))
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal 0 binary64))
(* -4 (/ y z))
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal 0 binary64))
(* -4 (/ y z))
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal 0 binary64))
(* -4 (/ y z))
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal 0 binary64))
(* -4 (/ y z))
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal 0 binary64))
(* -4 (/ y z))
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal 0 binary64))
(* -4 (/ y z))
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal 0 binary64))
(* -4 (/ y z))
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal 0 binary64))
(* -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 z))
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 0 binary64))
(* 4 (/ x z))
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 0 binary64))
(* 4 (/ x z))
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 0 binary64))
(* 4 (/ x z))
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 0 binary64))
(* 4 (/ x z))
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 0 binary64))
(* 4 (/ x z))
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 0 binary64))
(* 4 (/ x z))
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 0 binary64))
(* 4 (/ x z))
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 0 binary64))
(* 4 (/ x z))
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 0 binary64))
(* 4 (/ x z))
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 0 binary64))
(* 4 (/ x z))
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 0 binary64))
(* 4 (/ x z))
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 0 binary64))
(* 4 (/ x z))
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 0 binary64))
(* 4 (/ x z))
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 0 binary64))
(* 4 (/ x z))
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 0 binary64))
(* 4 (/ x z))
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 0 binary64))
(* 4 (/ x z))
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 0 binary64))
(* 4 (/ x z))
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 0 binary64))
(* 4 (/ x z))
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 0 binary64))
(* 4 (/ x z))
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 0 binary64))
(* 4 (/ x z))
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 0 binary64))
(* 4 (/ x z))
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 0 binary64))
(* 4 (/ x z))
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 0 binary64))
(* 4 (/ x z))
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 0 binary64))
(* 4 x)
(fma.f64 #s(literal 4 binary64) x #s(literal 0 binary64))
(* 4 x)
(fma.f64 #s(literal 4 binary64) x #s(literal 0 binary64))
(* 4 x)
(fma.f64 #s(literal 4 binary64) x #s(literal 0 binary64))
(* 4 x)
(fma.f64 #s(literal 4 binary64) x #s(literal 0 binary64))
(* 4 x)
(fma.f64 #s(literal 4 binary64) x #s(literal 0 binary64))
(* 4 x)
(fma.f64 #s(literal 4 binary64) x #s(literal 0 binary64))
(* 4 x)
(fma.f64 #s(literal 4 binary64) x #s(literal 0 binary64))
(* 4 x)
(fma.f64 #s(literal 4 binary64) x #s(literal 0 binary64))
(* 4 x)
(fma.f64 #s(literal 4 binary64) x #s(literal 0 binary64))
(* 4 x)
(fma.f64 #s(literal 4 binary64) x #s(literal 0 binary64))
(* 4 x)
(fma.f64 #s(literal 4 binary64) x #s(literal 0 binary64))
(* 4 x)
(fma.f64 #s(literal 4 binary64) x #s(literal 0 binary64))
-2
#s(literal -2 binary64)
(- (* 4 (/ x z)) 2)
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
(- (* 4 (/ x z)) 2)
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
(- (* 4 (/ x z)) 2)
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
(* 4 (/ x z))
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 0 binary64))
(* x (- (* 4 (/ 1 z)) (* 2 (/ 1 x))))
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
(* x (- (* 4 (/ 1 z)) (* 2 (/ 1 x))))
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
(* x (- (* 4 (/ 1 z)) (* 2 (/ 1 x))))
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
(* 4 (/ x z))
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 0 binary64))
(* -1 (* x (- (* 2 (/ 1 x)) (* 4 (/ 1 z)))))
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
(* -1 (* x (- (* 2 (/ 1 x)) (* 4 (/ 1 z)))))
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
(* -1 (* x (- (* 2 (/ 1 x)) (* 4 (/ 1 z)))))
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
(* 4 (/ x z))
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 0 binary64))
(/ (+ (* -2 z) (* 4 x)) z)
(/.f64 (fma.f64 #s(literal 4 binary64) x (*.f64 z #s(literal -2 binary64))) z)
(/ (+ (* -2 z) (* 4 x)) z)
(/.f64 (fma.f64 #s(literal 4 binary64) x (*.f64 z #s(literal -2 binary64))) z)
(/ (+ (* -2 z) (* 4 x)) z)
(/.f64 (fma.f64 #s(literal 4 binary64) x (*.f64 z #s(literal -2 binary64))) z)
-2
#s(literal -2 binary64)
(- (* 4 (/ x z)) 2)
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
(- (* 4 (/ x z)) 2)
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
(- (* 4 (/ x z)) 2)
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(- (* 4 (/ x z)) 2)
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
(- (* 4 (/ x z)) 2)
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
(- (* 4 (/ x z)) 2)
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)

eval102.0ms (1.3%)

Memory
10.8MiB live, 201.8MiB allocated
Compiler

Compiled 12 931 to 1 438 computations (88.9% saved)

prune107.0ms (1.3%)

Memory
33.6MiB live, 190.1MiB allocated
Pruning

10 alts after pruning (5 fresh and 5 done)

PrunedKeptTotal
New7104714
Fresh112
Picked055
Done000
Total71110721
Accuracy
100.0%
Counts
721 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
64.9%
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
72.8%
(fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 z (*.f64 (/.f64 z y) x)) (*.f64 (/.f64 z y) z)) #s(literal -2 binary64))
100.0%
(fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 y x) z) #s(literal -2 binary64))
66.3%
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
97.2%
(fma.f64 #s(literal -4 binary64) (-.f64 (/.f64 y z) (/.f64 x z)) #s(literal -2 binary64))
69.9%
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
36.8%
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
37.2%
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
37.1%
(*.f64 (/.f64 #s(literal -4 binary64) z) y)
30.0%
#s(literal -2 binary64)
Compiler

Compiled 158 to 111 computations (29.7% saved)

simplify311.0ms (3.8%)

Memory
-9.6MiB live, 434.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 z y)
cost-diff0
(-.f64 z (*.f64 (/.f64 z y) x))
cost-diff0
(fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 z (*.f64 (/.f64 z y) x)) (*.f64 (/.f64 z y) z)) #s(literal -2 binary64))
cost-diff2176
(/.f64 (-.f64 z (*.f64 (/.f64 z y) x)) (*.f64 (/.f64 z y) z))
cost-diff-64
(*.f64 #s(literal 4 binary64) (-.f64 x y))
cost-diff0
(-.f64 x y)
cost-diff0
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
cost-diff0
(/.f64 y z)
cost-diff0
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
cost-diff-64
(*.f64 (/.f64 #s(literal -4 binary64) z) y)
cost-diff0
(/.f64 #s(literal -4 binary64) z)
cost-diff0
(/.f64 x z)
cost-diff0
(/.f64 y z)
cost-diff0
(fma.f64 #s(literal -4 binary64) (-.f64 (/.f64 y z) (/.f64 x z)) #s(literal -2 binary64))
cost-diff704
(-.f64 (/.f64 y z) (/.f64 x z))
Rules
6 258×accelerator-lowering-fma.f32
6 258×accelerator-lowering-fma.f64
3 296×*-lowering-*.f32
3 296×*-lowering-*.f64
2 368×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025116
159116
2159116
3442108
41515108
53718108
67252108
08119105
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ (* -4 (- (/ y z) (/ x z))) -2)
-4
(- (/ y z) (/ x z))
(/ y z)
y
z
(/ x z)
x
-2
(* (/ -4 z) y)
(/ -4 z)
-4
z
y
(+ (* -4 (/ y z)) -2)
-4
(/ y z)
y
z
-2
(/ (* 4 (- x y)) z)
(* 4 (- x y))
4
(- x y)
x
y
z
(+ (* -4 (/ (- z (* (/ z y) x)) (* (/ z y) z))) -2)
-4
(/ (- z (* (/ z y) x)) (* (/ z y) z))
(- z (* (/ z y) x))
z
(* (/ z y) x)
(/ z y)
y
x
(* (/ z y) z)
-2
Outputs
(+ (* -4 (- (/ y z) (/ x z))) -2)
(fma.f64 (/.f64 #s(literal -4 binary64) z) (-.f64 y x) #s(literal -2 binary64))
-4
#s(literal -4 binary64)
(- (/ y z) (/ x z))
(/.f64 (-.f64 y x) z)
(/ y z)
(/.f64 y z)
y
z
(/ x z)
(/.f64 x z)
x
-2
#s(literal -2 binary64)
(* (/ -4 z) y)
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal 0 binary64))
(/ -4 z)
(/.f64 #s(literal -4 binary64) z)
-4
#s(literal -4 binary64)
z
y
(+ (* -4 (/ y z)) -2)
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
-4
#s(literal -4 binary64)
(/ y z)
(/.f64 y z)
y
z
-2
#s(literal -2 binary64)
(/ (* 4 (- x y)) z)
(fma.f64 (/.f64 #s(literal -4 binary64) z) (-.f64 y x) #s(literal 0 binary64))
(* 4 (- x y))
(fma.f64 #s(literal -4 binary64) (-.f64 y x) #s(literal 0 binary64))
4
#s(literal 4 binary64)
(- x y)
(-.f64 x y)
x
y
z
(+ (* -4 (/ (- z (* (/ z y) x)) (* (/ z y) z))) -2)
(fma.f64 (/.f64 #s(literal -4 binary64) z) (-.f64 y x) #s(literal -2 binary64))
-4
#s(literal -4 binary64)
(/ (- z (* (/ z y) x)) (* (/ z y) z))
(/.f64 (-.f64 y x) z)
(- z (* (/ z y) x))
(fma.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 0 binary64))
z
(* (/ z y) x)
(fma.f64 z (/.f64 x y) #s(literal 0 binary64))
(/ z y)
(/.f64 z y)
y
x
(* (/ z y) z)
(/.f64 (fma.f64 z z #s(literal 0 binary64)) y)
-2
#s(literal -2 binary64)

localize148.0ms (1.8%)

Memory
-24.2MiB live, 132.1MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 z (*.f64 (/.f64 z y) x))
accuracy99.8%
(*.f64 (/.f64 z y) z)
accuracy93.0%
(*.f64 (/.f64 z y) x)
accuracy70.4%
(/.f64 (-.f64 z (*.f64 (/.f64 z y) x)) (*.f64 (/.f64 z y) z))
accuracy100.0%
(-.f64 x y)
accuracy100.0%
(*.f64 #s(literal 4 binary64) (-.f64 x y))
accuracy100.0%
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
accuracy100.0%
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
accuracy100.0%
(/.f64 y z)
accuracy100.0%
(/.f64 #s(literal -4 binary64) z)
accuracy99.7%
(*.f64 (/.f64 #s(literal -4 binary64) z) y)
accuracy100.0%
(fma.f64 #s(literal -4 binary64) (-.f64 (/.f64 y z) (/.f64 x z)) #s(literal -2 binary64))
accuracy100.0%
(/.f64 y z)
accuracy100.0%
(/.f64 x z)
accuracy97.5%
(-.f64 (/.f64 y z) (/.f64 x z))
Samples
82.0ms256×0valid
Compiler

Compiled 127 to 27 computations (78.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-div: 10.0ms (35.7% of total)
ival-mult: 10.0ms (35.7% of total)
ival-sub: 3.0ms (10.7% of total)
ival-add: 3.0ms (10.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series38.0ms (0.5%)

Memory
26.6MiB live, 64.1MiB allocated
Counts
16 → 456
Calls
Call 1
Inputs
#<alt (- (/ y z) (/ x z))>
#<alt (+ (* -4 (- (/ y z) (/ x z))) -2)>
#<alt (/ y z)>
#<alt (/ x z)>
#<alt (/ -4 z)>
#<alt (* (/ -4 z) y)>
#<alt (+ (* -4 (/ y z)) -2)>
#<alt (/ (* 4 (- x y)) z)>
#<alt (- x y)>
#<alt (* 4 (- x y))>
#<alt (/ (- z (* (/ z y) x)) (* (/ z y) z))>
#<alt (+ (* -4 (/ (- z (* (/ z y) x)) (* (/ z y) z))) -2)>
#<alt (- z (* (/ z y) x))>
#<alt (/ z y)>
#<alt (* (/ z y) x)>
#<alt (* (/ z y) z)>
Outputs
#<alt (* -1 (/ x z))>
#<alt (- (/ y z) (/ x z))>
#<alt (- (/ y z) (/ x z))>
#<alt (- (/ y z) (/ x z))>
#<alt (/ y z)>
#<alt (* y (+ (* -1 (/ x (* y z))) (/ 1 z)))>
#<alt (* y (+ (* -1 (/ x (* y z))) (/ 1 z)))>
#<alt (* y (+ (* -1 (/ x (* y z))) (/ 1 z)))>
#<alt (/ y z)>
#<alt (* -1 (* y (- (/ x (* y z)) (/ 1 z))))>
#<alt (* -1 (* y (- (/ x (* y z)) (/ 1 z))))>
#<alt (* -1 (* y (- (/ x (* y z)) (/ 1 z))))>
#<alt (/ (- y x) z)>
#<alt (/ (- y x) z)>
#<alt (/ (- y x) z)>
#<alt (/ (- y x) z)>
#<alt (/ (- y x) z)>
#<alt (/ (- y x) z)>
#<alt (/ (- y x) z)>
#<alt (/ (- y x) z)>
#<alt (* -1 (/ (- (* -1 y) (* -1 x)) z))>
#<alt (* -1 (/ (- (* -1 y) (* -1 x)) z))>
#<alt (* -1 (/ (- (* -1 y) (* -1 x)) z))>
#<alt (* -1 (/ (- (* -1 y) (* -1 x)) z))>
#<alt (/ y z)>
#<alt (+ (* -1 (/ x z)) (/ y z))>
#<alt (+ (* -1 (/ x z)) (/ y z))>
#<alt (+ (* -1 (/ x z)) (/ y z))>
#<alt (* -1 (/ x z))>
#<alt (* x (- (/ y (* x z)) (/ 1 z)))>
#<alt (* x (- (/ y (* x z)) (/ 1 z)))>
#<alt (* x (- (/ y (* x z)) (/ 1 z)))>
#<alt (* -1 (/ x z))>
#<alt (* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))>
#<alt (* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))>
#<alt (* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))>
#<alt (- (* 4 (/ x z)) 2)>
#<alt (- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)>
#<alt (- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)>
#<alt (- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)>
#<alt (* -4 (/ y z))>
#<alt (* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))>
#<alt (* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))>
#<alt (* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))>
#<alt (* -4 (/ y z))>
#<alt (* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))>
#<alt (* -4 (/ (- y x) z))>
#<alt (/ (+ (* -4 (- y x)) (* -2 z)) z)>
#<alt (/ (+ (* -4 (- y x)) (* -2 z)) z)>
#<alt (/ (+ (* -4 (- y x)) (* -2 z)) z)>
#<alt -2>
#<alt (- (* -4 (/ (- y x) z)) 2)>
#<alt (- (* -4 (/ (- y x) z)) 2)>
#<alt (- (* -4 (/ (- y x) z)) 2)>
#<alt -2>
#<alt (- (* 4 (/ (- (* -1 y) (* -1 x)) z)) 2)>
#<alt (- (* 4 (/ (- (* -1 y) (* -1 x)) z)) 2)>
#<alt (- (* 4 (/ (- (* -1 y) (* -1 x)) z)) 2)>
#<alt (- (* -4 (/ y z)) 2)>
#<alt (- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)>
#<alt (- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)>
#<alt (- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)>
#<alt (* 4 (/ x z))>
#<alt (* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))>
#<alt (* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))>
#<alt (* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))>
#<alt (* 4 (/ x z))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ -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 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt -2>
#<alt (- (* -4 (/ y z)) 2)>
#<alt (- (* -4 (/ y z)) 2)>
#<alt (- (* -4 (/ y z)) 2)>
#<alt (* -4 (/ y z))>
#<alt (* -1 (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))>
#<alt (* -1 (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))>
#<alt (* -1 (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))>
#<alt (* -4 (/ y z))>
#<alt (* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))>
#<alt (* -4 (/ y z))>
#<alt (/ (+ (* -4 y) (* -2 z)) z)>
#<alt (/ (+ (* -4 y) (* -2 z)) z)>
#<alt (/ (+ (* -4 y) (* -2 z)) z)>
#<alt -2>
#<alt (- (* -4 (/ y z)) 2)>
#<alt (- (* -4 (/ y z)) 2)>
#<alt (- (* -4 (/ y z)) 2)>
#<alt -2>
#<alt (- (* -4 (/ y z)) 2)>
#<alt (- (* -4 (/ y z)) 2)>
#<alt (- (* -4 (/ y z)) 2)>
#<alt (* -4 (/ y z))>
#<alt (+ (* -4 (/ y z)) (* 4 (/ x z)))>
#<alt (+ (* -4 (/ y z)) (* 4 (/ x z)))>
#<alt (+ (* -4 (/ y z)) (* 4 (/ x z)))>
#<alt (* 4 (/ x z))>
#<alt (* x (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))))>
#<alt (* x (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))))>
#<alt (* x (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))))>
#<alt (* 4 (/ x z))>
#<alt (* -1 (* x (- (* 4 (/ y (* x z))) (* 4 (/ 1 z)))))>
#<alt (* -1 (* x (- (* 4 (/ y (* x z))) (* 4 (/ 1 z)))))>
#<alt (* -1 (* x (- (* 4 (/ y (* x z))) (* 4 (/ 1 z)))))>
#<alt (* 4 (/ x z))>
#<alt (+ (* -4 (/ y z)) (* 4 (/ x z)))>
#<alt (+ (* -4 (/ y z)) (* 4 (/ x z)))>
#<alt (+ (* -4 (/ y z)) (* 4 (/ x z)))>
#<alt (* -4 (/ y z))>
#<alt (* y (- (* 4 (/ x (* y z))) (* 4 (/ 1 z))))>
#<alt (* y (- (* 4 (/ x (* y z))) (* 4 (/ 1 z))))>
#<alt (* y (- (* 4 (/ x (* y z))) (* 4 (/ 1 z))))>
#<alt (* -4 (/ y z))>
#<alt (* -1 (* y (+ (* -4 (/ x (* y z))) (* 4 (/ 1 z)))))>
#<alt (* -1 (* y (+ (* -4 (/ x (* y z))) (* 4 (/ 1 z)))))>
#<alt (* -1 (* y (+ (* -4 (/ x (* y z))) (* 4 (/ 1 z)))))>
#<alt (* 4 (/ (- x y) z))>
#<alt (* 4 (/ (- x y) z))>
#<alt (* 4 (/ (- x y) z))>
#<alt (* 4 (/ (- x y) z))>
#<alt (* 4 (/ (- x y) z))>
#<alt (* 4 (/ (- x y) z))>
#<alt (* 4 (/ (- x y) z))>
#<alt (* 4 (/ (- x y) z))>
#<alt (* 4 (/ (- x y) z))>
#<alt (* 4 (/ (- x y) z))>
#<alt (* 4 (/ (- x y) z))>
#<alt (* 4 (/ (- x y) z))>
#<alt (* -1 y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -4 y)>
#<alt (+ (* -4 y) (* 4 x))>
#<alt (+ (* -4 y) (* 4 x))>
#<alt (+ (* -4 y) (* 4 x))>
#<alt (* 4 x)>
#<alt (* x (+ 4 (* -4 (/ y x))))>
#<alt (* x (+ 4 (* -4 (/ y x))))>
#<alt (* x (+ 4 (* -4 (/ y x))))>
#<alt (* 4 x)>
#<alt (* -1 (* x (- (* 4 (/ y x)) 4)))>
#<alt (* -1 (* x (- (* 4 (/ y x)) 4)))>
#<alt (* -1 (* x (- (* 4 (/ y x)) 4)))>
#<alt (* 4 x)>
#<alt (+ (* -4 y) (* 4 x))>
#<alt (+ (* -4 y) (* 4 x))>
#<alt (+ (* -4 y) (* 4 x))>
#<alt (* -4 y)>
#<alt (* y (- (* 4 (/ x y)) 4))>
#<alt (* y (- (* 4 (/ x y)) 4))>
#<alt (* y (- (* 4 (/ x y)) 4))>
#<alt (* -4 y)>
#<alt (* -1 (* y (+ 4 (* -4 (/ x y)))))>
#<alt (* -1 (* y (+ 4 (* -4 (/ x y)))))>
#<alt (* -1 (* y (+ 4 (* -4 (/ x y)))))>
#<alt (/ (* y (- 1 (/ x y))) z)>
#<alt (/ (* y (- 1 (/ x y))) z)>
#<alt (/ (* y (- 1 (/ x y))) z)>
#<alt (/ (* y (- 1 (/ x y))) z)>
#<alt (/ (* y (- 1 (/ x y))) z)>
#<alt (/ (* y (- 1 (/ x y))) z)>
#<alt (/ (* y (- 1 (/ x y))) z)>
#<alt (/ (* y (- 1 (/ x y))) z)>
#<alt (/ (* y (+ 1 (* -1 (/ x y)))) z)>
#<alt (/ (* y (+ 1 (* -1 (/ x y)))) z)>
#<alt (/ (* y (+ 1 (* -1 (/ x y)))) z)>
#<alt (/ (* y (+ 1 (* -1 (/ x y)))) z)>
#<alt (* -1 (/ x z))>
#<alt (+ (* -1 (/ x z)) (/ y z))>
#<alt (+ (* -1 (/ x z)) (/ y z))>
#<alt (+ (* -1 (/ x z)) (/ y z))>
#<alt (/ y z)>
#<alt (* y (+ (* -1 (/ x (* y z))) (/ 1 z)))>
#<alt (* y (+ (* -1 (/ x (* y z))) (/ 1 z)))>
#<alt (* y (+ (* -1 (/ x (* y z))) (/ 1 z)))>
#<alt (/ y z)>
#<alt (* -1 (* y (- (/ x (* y z)) (/ 1 z))))>
#<alt (* -1 (* y (- (/ x (* y z)) (/ 1 z))))>
#<alt (* -1 (* y (- (/ x (* y z)) (/ 1 z))))>
#<alt (/ y z)>
#<alt (+ (* -1 (/ x z)) (/ y z))>
#<alt (+ (* -1 (/ x z)) (/ y z))>
#<alt (+ (* -1 (/ x z)) (/ y z))>
#<alt (* -1 (/ x z))>
#<alt (* x (- (/ y (* x z)) (/ 1 z)))>
#<alt (* x (- (/ y (* x z)) (/ 1 z)))>
#<alt (* x (- (/ y (* x z)) (/ 1 z)))>
#<alt (* -1 (/ x z))>
#<alt (* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))>
#<alt (* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))>
#<alt (* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))>
#<alt (* -4 (/ (* y (- 1 (/ x y))) z))>
#<alt (/ (+ (* -4 (* y (- 1 (/ x y)))) (* -2 z)) z)>
#<alt (/ (+ (* -4 (* y (- 1 (/ x y)))) (* -2 z)) z)>
#<alt (/ (+ (* -4 (* y (- 1 (/ x y)))) (* -2 z)) z)>
#<alt -2>
#<alt (- (* -4 (/ (* y (- 1 (/ x y))) z)) 2)>
#<alt (- (* -4 (/ (* y (- 1 (/ x y))) z)) 2)>
#<alt (- (* -4 (/ (* y (- 1 (/ x y))) z)) 2)>
#<alt -2>
#<alt (- (* -4 (/ (* y (+ 1 (* -1 (/ x y)))) z)) 2)>
#<alt (- (* -4 (/ (* y (+ 1 (* -1 (/ x y)))) z)) 2)>
#<alt (- (* -4 (/ (* y (+ 1 (* -1 (/ x y)))) z)) 2)>
#<alt (- (* 4 (/ x z)) 2)>
#<alt (- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)>
#<alt (- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)>
#<alt (- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)>
#<alt (* -4 (/ y z))>
#<alt (* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))>
#<alt (* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))>
#<alt (* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))>
#<alt (* -4 (/ y z))>
#<alt (* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))>
#<alt (- (* -4 (/ y z)) 2)>
#<alt (- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)>
#<alt (- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)>
#<alt (- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)>
#<alt (* 4 (/ x z))>
#<alt (* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))>
#<alt (* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))>
#<alt (* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))>
#<alt (* 4 (/ x z))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))>
#<alt (* z (- 1 (/ x y)))>
#<alt (* z (- 1 (/ x y)))>
#<alt (* z (- 1 (/ x y)))>
#<alt (* z (- 1 (/ x y)))>
#<alt (* z (- 1 (/ x y)))>
#<alt (* z (- 1 (/ x y)))>
#<alt (* z (- 1 (/ x y)))>
#<alt (* z (- 1 (/ x y)))>
#<alt (* z (+ 1 (* -1 (/ x y))))>
#<alt (* z (+ 1 (* -1 (/ x y))))>
#<alt (* z (+ 1 (* -1 (/ x y))))>
#<alt (* z (+ 1 (* -1 (/ x y))))>
#<alt (* -1 (/ (* x z) y))>
#<alt (/ (- (* y z) (* x z)) y)>
#<alt (/ (- (* y z) (* x z)) y)>
#<alt (/ (- (* y z) (* x z)) y)>
#<alt z>
#<alt (+ z (* -1 (/ (* x z) y)))>
#<alt (+ z (* -1 (/ (* x z) y)))>
#<alt (+ z (* -1 (/ (* x z) y)))>
#<alt z>
#<alt (+ z (* -1 (/ (* x z) y)))>
#<alt (+ z (* -1 (/ (* x z) y)))>
#<alt (+ z (* -1 (/ (* x z) y)))>
#<alt z>
#<alt (+ z (* -1 (/ (* x z) y)))>
#<alt (+ z (* -1 (/ (* x z) y)))>
#<alt (+ z (* -1 (/ (* x z) y)))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* x (- (/ z x) (/ z y)))>
#<alt (* x (- (/ z x) (/ z y)))>
#<alt (* x (- (/ z x) (/ z y)))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (* x (- (* -1 (/ z x)) (* -1 (/ z y)))))>
#<alt (* -1 (* x (- (* -1 (/ z x)) (* -1 (/ z y)))))>
#<alt (* -1 (* x (- (* -1 (/ z x)) (* -1 (/ z y)))))>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
Calls

114 calls:

TimeVariablePointExpression
14.0ms
x
@inf
(/ (- z (* (/ z y) x)) (* (/ z y) z))
1.0ms
z
@0
(/ (- z (* (/ z y) x)) (* (/ z y) z))
1.0ms
z
@-inf
(/ (- z (* (/ z y) x)) (* (/ z y) z))
1.0ms
y
@0
(/ (- z (* (/ z y) x)) (* (/ z y) z))
1.0ms
z
@inf
(/ (- z (* (/ z y) x)) (* (/ z y) z))

rewrite752.0ms (9.3%)

Memory
-18.0MiB live, 574.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 032×*-lowering-*.f32
5 032×*-lowering-*.f64
4 654×/-lowering-/.f32
4 654×/-lowering-/.f64
2 970×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02584
116584
2153684
0864981
Stop Event
iter limit
node limit
Counts
16 → 961
Calls
Call 1
Inputs
(- (/ y z) (/ x z))
(+ (* -4 (- (/ y z) (/ x z))) -2)
(/ y z)
(/ x z)
(/ -4 z)
(* (/ -4 z) y)
(+ (* -4 (/ y z)) -2)
(/ (* 4 (- x y)) z)
(- x y)
(* 4 (- x y))
(/ (- z (* (/ z y) x)) (* (/ z y) z))
(+ (* -4 (/ (- z (* (/ z y) x)) (* (/ z y) z))) -2)
(- z (* (/ z y) x))
(/ z y)
(* (/ z y) x)
(* (/ z y) z)
Outputs
(+.f64 (/.f64 y z) (-.f64 #s(literal 0 binary64) (/.f64 x z)))
(+.f64 (/.f64 (*.f64 y z) (*.f64 z z)) (-.f64 #s(literal 0 binary64) (/.f64 x z)))
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 x z)) (/.f64 y z))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) z))) #s(literal -1 binary64)))
(-.f64 (/.f64 y z) (/.f64 x z))
(-.f64 (/.f64 (*.f64 y z) (*.f64 z z)) (/.f64 x z))
(-.f64 (/.f64 (*.f64 y z) (*.f64 z z)) (/.f64 (*.f64 z x) (*.f64 z z)))
(-.f64 (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (fma.f64 (/.f64 x z) (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 y x)) (/.f64 (*.f64 y y) (*.f64 z z)))) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z))) (fma.f64 (/.f64 x z) (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 y x)) (/.f64 (*.f64 y y) (*.f64 z z)))))
(-.f64 (/.f64 (/.f64 (*.f64 y y) (*.f64 z z)) (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 y x))) (/.f64 (/.f64 (*.f64 x x) (*.f64 z z)) (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 y x))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 z z) y))) (/.f64 (-.f64 z (/.f64 (*.f64 z x) y)) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 z z) y))))
(-.f64 (/.f64 (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 (/.f64 (*.f64 z x) y) (fma.f64 x (/.f64 z y) z) (*.f64 z z))) (/.f64 (*.f64 z z) y)) (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))) (fma.f64 (/.f64 (*.f64 z x) y) (fma.f64 x (/.f64 z y) z) (*.f64 z z))) (/.f64 (*.f64 z z) y)))
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(*.f64 (/.f64 z (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)))

simplify373.0ms (4.6%)

Memory
29.1MiB live, 590.0MiB allocated
Algorithm
egg-herbie
Rules
7 820×accelerator-lowering-fma.f32
7 820×accelerator-lowering-fma.f64
3 078×*-lowering-*.f32
3 078×*-lowering-*.f64
1 678×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01582630
14782630
213232402
344282402
466772402
080442326
Stop Event
iter limit
node limit
Counts
456 → 456
Calls
Call 1
Inputs
(* -1 (/ x z))
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(- (/ y z) (/ x z))
(- (/ y z) (/ x z))
(/ y z)
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
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(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
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(/ (- y x) z)
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(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(/ y z)
(+ (* -1 (/ x z)) (/ y z))
(+ (* -1 (/ x z)) (/ y z))
(+ (* -1 (/ x z)) (/ y z))
(* -1 (/ x z))
(* x (- (/ y (* x z)) (/ 1 z)))
(* x (- (/ y (* x z)) (/ 1 z)))
(* x (- (/ y (* x z)) (/ 1 z)))
(* -1 (/ x z))
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(* -4 (/ (* y (- 1 (/ x y))) z))
(/ (+ (* -4 (* y (- 1 (/ x y)))) (* -2 z)) z)
(/ (+ (* -4 (* y (- 1 (/ x y)))) (* -2 z)) z)
(/ (+ (* -4 (* y (- 1 (/ x y)))) (* -2 z)) z)
-2
(- (* -4 (/ (* y (- 1 (/ x y))) z)) 2)
(- (* -4 (/ (* y (- 1 (/ x y))) z)) 2)
(- (* -4 (/ (* y (- 1 (/ x y))) z)) 2)
-2
(- (* -4 (/ (* y (+ 1 (* -1 (/ x y)))) z)) 2)
(- (* -4 (/ (* y (+ 1 (* -1 (/ x y)))) z)) 2)
(- (* -4 (/ (* y (+ 1 (* -1 (/ x y)))) z)) 2)
(- (* 4 (/ x z)) 2)
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
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(* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
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(* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))
(- (* -4 (/ y z)) 2)
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(* 4 (/ x z))
(* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))
(* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))
(* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))
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(* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))
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(* z (+ 1 (* -1 (/ x y))))
(* z (+ 1 (* -1 (/ x y))))
(* -1 (/ (* x z) y))
(/ (- (* y z) (* x z)) y)
(/ (- (* y z) (* x z)) y)
(/ (- (* y z) (* x z)) y)
z
(+ z (* -1 (/ (* x z) y)))
(+ z (* -1 (/ (* x z) y)))
(+ z (* -1 (/ (* x z) y)))
z
(+ z (* -1 (/ (* x z) y)))
(+ z (* -1 (/ (* x z) y)))
(+ z (* -1 (/ (* x z) y)))
z
(+ z (* -1 (/ (* x z) y)))
(+ z (* -1 (/ (* x z) y)))
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(* x (- (/ z x) (/ z y)))
(* x (- (/ z x) (/ z y)))
(* x (- (/ z x) (/ z y)))
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(* -1 (* x (- (* -1 (/ z x)) (* -1 (/ z y)))))
(* -1 (* x (- (* -1 (/ z x)) (* -1 (/ z y)))))
(* -1 (* x (- (* -1 (/ z x)) (* -1 (/ z y)))))
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
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(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
Outputs
(* -1 (/ x z))
(-.f64 #s(literal 0 binary64) (/.f64 x z))
(- (/ y z) (/ x z))
(/.f64 (-.f64 y x) z)
(- (/ y z) (/ x z))
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(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(/.f64 (-.f64 y x) z)
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(/.f64 (-.f64 y x) z)
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
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(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
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(/ (- y x) z)
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(/ (- y x) z)
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(/ (- y x) z)
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(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
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(* -1 (/ (- (* -1 y) (* -1 x)) z))
(/.f64 (-.f64 y x) z)
(* -1 (/ (- (* -1 y) (* -1 x)) z))
(/.f64 (-.f64 y x) z)
(* -1 (/ (- (* -1 y) (* -1 x)) z))
(/.f64 (-.f64 y x) z)
(* -1 (/ (- (* -1 y) (* -1 x)) z))
(/.f64 (-.f64 y x) z)
(/ y z)
(/.f64 y z)
(+ (* -1 (/ x z)) (/ y z))
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(+ (* -1 (/ x z)) (/ y z))
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(+ (* -1 (/ x z)) (/ y z))
(/.f64 (-.f64 y x) z)
(* -1 (/ x z))
(-.f64 #s(literal 0 binary64) (/.f64 x z))
(* x (- (/ y (* x z)) (/ 1 z)))
(/.f64 (-.f64 y x) z)
(* x (- (/ y (* x z)) (/ 1 z)))
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(* x (- (/ y (* x z)) (/ 1 z)))
(/.f64 (-.f64 y x) z)
(* -1 (/ x z))
(-.f64 #s(literal 0 binary64) (/.f64 x z))
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(/.f64 (-.f64 y x) z)
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(/.f64 (-.f64 y x) z)
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(/.f64 (-.f64 y x) z)
(- (* 4 (/ x z)) 2)
(fma.f64 x (/.f64 #s(literal 4 binary64) z) #s(literal -2 binary64))
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
(* -4 (/ y z))
(fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal 0 binary64))
(* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
(* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
(* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
(* -4 (/ y z))
(fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal 0 binary64))
(* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))
(fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
(* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))
(fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
(* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))
(fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
(* -4 (/ (- y x) z))
(fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal 0 binary64))
(/ (+ (* -4 (- y x)) (* -2 z)) z)
(/.f64 (fma.f64 z #s(literal -2 binary64) (fma.f64 (-.f64 y x) #s(literal -4 binary64) #s(literal 0 binary64))) z)
(/ (+ (* -4 (- y x)) (* -2 z)) z)
(/.f64 (fma.f64 z #s(literal -2 binary64) (fma.f64 (-.f64 y x) #s(literal -4 binary64) #s(literal 0 binary64))) z)
(/ (+ (* -4 (- y x)) (* -2 z)) z)
(/.f64 (fma.f64 z #s(literal -2 binary64) (fma.f64 (-.f64 y x) #s(literal -4 binary64) #s(literal 0 binary64))) z)
-2
#s(literal -2 binary64)
(- (* -4 (/ (- y x) z)) 2)
(fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
(- (* -4 (/ (- y x) z)) 2)
(fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
(- (* -4 (/ (- y x) z)) 2)
(fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(- (* 4 (/ (- (* -1 y) (* -1 x)) z)) 2)
(fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
(- (* 4 (/ (- (* -1 y) (* -1 x)) z)) 2)
(fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
(- (* 4 (/ (- (* -1 y) (* -1 x)) z)) 2)
(fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
(- (* -4 (/ y z)) 2)
(fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
(* 4 (/ x z))
(fma.f64 x (/.f64 #s(literal 4 binary64) z) #s(literal 0 binary64))
(* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))
(fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
(* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))
(fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
(* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))
(fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
(* 4 (/ x z))
(fma.f64 x (/.f64 #s(literal 4 binary64) z) #s(literal 0 binary64))
(* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))
(fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
(* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))
(fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
(* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))
(fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
(/ y z)
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(/ -4 z)
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(/.f64 #s(literal -4 binary64) z)
(/ -4 z)
(/.f64 #s(literal -4 binary64) z)
(/ -4 z)
(/.f64 #s(literal -4 binary64) z)
(* -4 (/ y z))
(fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal 0 binary64))
(* -4 (/ y z))
(fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal 0 binary64))
(* -4 (/ y z))
(fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal 0 binary64))
(* -4 (/ y z))
(fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal 0 binary64))
(* -4 (/ y z))
(fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal 0 binary64))
(* -4 (/ y z))
(fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal 0 binary64))
(* -4 (/ y z))
(fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal 0 binary64))
(* -4 (/ y z))
(fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal 0 binary64))
(* -4 (/ y z))
(fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal 0 binary64))
(* -4 (/ y z))
(fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal 0 binary64))
(* -4 (/ y z))
(fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal 0 binary64))
(* -4 (/ y z))
(fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal 0 binary64))
(* -4 (/ y z))
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(* -4 (/ y z))
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(* -4 (/ y z))
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(* -4 (/ y z))
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(* -4 (/ y z))
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(* -4 (/ y z))
(fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal 0 binary64))
(* -4 (/ y z))
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(* -4 (/ y z))
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(* -4 (/ y z))
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-2
#s(literal -2 binary64)
(- (* -4 (/ y z)) 2)
(fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
(- (* -4 (/ y z)) 2)
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(- (* -4 (/ y z)) 2)
(fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
(* -4 (/ y z))
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(/ (+ (* -4 y) (* -2 z)) z)
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(/ (+ (* -4 y) (* -2 z)) z)
(/.f64 (fma.f64 z #s(literal -2 binary64) (fma.f64 y #s(literal -4 binary64) #s(literal 0 binary64))) z)
-2
#s(literal -2 binary64)
(- (* -4 (/ y z)) 2)
(fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
(- (* -4 (/ y z)) 2)
(fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
(- (* -4 (/ y z)) 2)
(fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
-2
#s(literal -2 binary64)
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(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ (* x z) y)
(fma.f64 z (/.f64 x y) #s(literal 0 binary64))
(/ (* x z) y)
(fma.f64 z (/.f64 x y) #s(literal 0 binary64))
(/ (* x z) y)
(fma.f64 z (/.f64 x y) #s(literal 0 binary64))
(/ (* x z) y)
(fma.f64 z (/.f64 x y) #s(literal 0 binary64))
(/ (* x z) y)
(fma.f64 z (/.f64 x y) #s(literal 0 binary64))
(/ (* x z) y)
(fma.f64 z (/.f64 x y) #s(literal 0 binary64))
(/ (* x z) y)
(fma.f64 z (/.f64 x y) #s(literal 0 binary64))
(/ (* x z) y)
(fma.f64 z (/.f64 x y) #s(literal 0 binary64))
(/ (* x z) y)
(fma.f64 z (/.f64 x y) #s(literal 0 binary64))
(/ (* x z) y)
(fma.f64 z (/.f64 x y) #s(literal 0 binary64))
(/ (* x z) y)
(fma.f64 z (/.f64 x y) #s(literal 0 binary64))
(/ (* x z) y)
(fma.f64 z (/.f64 x y) #s(literal 0 binary64))
(/ (* x z) y)
(fma.f64 z (/.f64 x y) #s(literal 0 binary64))
(/ (* x z) y)
(fma.f64 z (/.f64 x y) #s(literal 0 binary64))
(/ (* x z) y)
(fma.f64 z (/.f64 x y) #s(literal 0 binary64))
(/ (* x z) y)
(fma.f64 z (/.f64 x y) #s(literal 0 binary64))
(/ (* x z) y)
(fma.f64 z (/.f64 x y) #s(literal 0 binary64))
(/ (* x z) y)
(fma.f64 z (/.f64 x y) #s(literal 0 binary64))
(/ (* x z) y)
(fma.f64 z (/.f64 x y) #s(literal 0 binary64))
(/ (* x z) y)
(fma.f64 z (/.f64 x y) #s(literal 0 binary64))
(/ (* x z) y)
(fma.f64 z (/.f64 x y) #s(literal 0 binary64))
(/ (* x z) y)
(fma.f64 z (/.f64 x y) #s(literal 0 binary64))
(/ (* x z) y)
(fma.f64 z (/.f64 x y) #s(literal 0 binary64))
(/ (* x z) y)
(fma.f64 z (/.f64 x y) #s(literal 0 binary64))
(/ (* x z) y)
(fma.f64 z (/.f64 x y) #s(literal 0 binary64))
(/ (* x z) y)
(fma.f64 z (/.f64 x y) #s(literal 0 binary64))
(/ (* x z) y)
(fma.f64 z (/.f64 x y) #s(literal 0 binary64))
(/ (* x z) y)
(fma.f64 z (/.f64 x y) #s(literal 0 binary64))
(/ (* x z) y)
(fma.f64 z (/.f64 x y) #s(literal 0 binary64))
(/ (* x z) y)
(fma.f64 z (/.f64 x y) #s(literal 0 binary64))
(/ (* x z) y)
(fma.f64 z (/.f64 x y) #s(literal 0 binary64))
(/ (* x z) y)
(fma.f64 z (/.f64 x y) #s(literal 0 binary64))
(/ (* x z) y)
(fma.f64 z (/.f64 x y) #s(literal 0 binary64))
(/ (* x z) y)
(fma.f64 z (/.f64 x y) #s(literal 0 binary64))
(/ (* x z) y)
(fma.f64 z (/.f64 x y) #s(literal 0 binary64))
(/ (* x z) y)
(fma.f64 z (/.f64 x y) #s(literal 0 binary64))
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)

eval189.0ms (2.3%)

Memory
-14.2MiB live, 503.7MiB allocated
Compiler

Compiled 28 642 to 2 541 computations (91.1% saved)

prune123.0ms (1.5%)

Memory
9.4MiB live, 317.9MiB allocated
Pruning

10 alts after pruning (1 fresh and 9 done)

PrunedKeptTotal
New1 52011 521
Fresh000
Picked145
Done055
Total1 521101 531
Accuracy
100.0%
Counts
1 531 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
64.9%
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
100.0%
(fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 y x) z) #s(literal -2 binary64))
66.3%
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
97.2%
(fma.f64 #s(literal -4 binary64) (-.f64 (/.f64 y z) (/.f64 x z)) #s(literal -2 binary64))
97.2%
(fma.f64 #s(literal -4 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 z y)) (/.f64 x z)) #s(literal -2 binary64))
69.9%
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
36.8%
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
37.2%
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
37.1%
(*.f64 (/.f64 #s(literal -4 binary64) z) y)
30.0%
#s(literal -2 binary64)
Compiler

Compiled 95 to 71 computations (25.3% saved)

simplify99.0ms (1.2%)

Memory
3.3MiB live, 105.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 z y)
cost-diff0
(fma.f64 #s(literal -4 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 z y)) (/.f64 x z)) #s(literal -2 binary64))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 z y))
cost-diff704
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 z y)) (/.f64 x z))
Rules
1 232×accelerator-lowering-fma.f32
1 232×accelerator-lowering-fma.f64
592×*-lowering-*.f32
592×*-lowering-*.f64
500×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01239
12039
23733
39733
418632
528931
653329
793529
8167829
9215229
10234429
11236429
12237629
13237629
0237628
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(+ (* -4 (- (/ 1 (/ z y)) (/ x z))) -2)
-4
(- (/ 1 (/ z y)) (/ x z))
(/ 1 (/ z y))
1
(/ z y)
z
y
(/ x z)
x
-2
Outputs
(+ (* -4 (- (/ 1 (/ z y)) (/ x z))) -2)
(fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 y x) z) #s(literal -2 binary64))
-4
#s(literal -4 binary64)
(- (/ 1 (/ z y)) (/ x z))
(/.f64 (-.f64 y x) z)
(/ 1 (/ z y))
(/.f64 y z)
1
#s(literal 1 binary64)
(/ z y)
(/.f64 z y)
z
y
(/ x z)
(/.f64 x z)
x
-2
#s(literal -2 binary64)

localize34.0ms (0.4%)

Memory
-26.2MiB live, 50.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 z y)
accuracy100.0%
(/.f64 x z)
accuracy99.3%
(/.f64 #s(literal 1 binary64) (/.f64 z y))
accuracy97.5%
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 z y)) (/.f64 x z))
Samples
24.0ms256×0valid
Compiler

Compiled 40 to 14 computations (65% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 7.0ms (44.9% of total)
ival-div: 5.0ms (32.1% of total)
ival-sub: 1.0ms (6.4% of total)
ival-add: 1.0ms (6.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0%)

Memory
4.0MiB live, 4.0MiB allocated
Counts
5 → 144
Calls
Call 1
Inputs
#<alt (- (/ 1 (/ z y)) (/ x z))>
#<alt (/ 1 (/ z y))>
#<alt (+ (* -4 (- (/ 1 (/ z y)) (/ x z))) -2)>
#<alt (/ z y)>
#<alt (/ x z)>
Outputs
#<alt (/ (- y x) z)>
#<alt (/ (- y x) z)>
#<alt (/ (- y x) z)>
#<alt (/ (- y x) z)>
#<alt (/ (- y x) z)>
#<alt (/ (- y x) z)>
#<alt (/ (- y x) z)>
#<alt (/ (- y x) z)>
#<alt (* -1 (/ (- (* -1 y) (* -1 x)) z))>
#<alt (* -1 (/ (- (* -1 y) (* -1 x)) z))>
#<alt (* -1 (/ (- (* -1 y) (* -1 x)) z))>
#<alt (* -1 (/ (- (* -1 y) (* -1 x)) z))>
#<alt (* -1 (/ x z))>
#<alt (- (/ y z) (/ x z))>
#<alt (- (/ y z) (/ x z))>
#<alt (- (/ y z) (/ x z))>
#<alt (/ y z)>
#<alt (* y (+ (* -1 (/ x (* y z))) (/ 1 z)))>
#<alt (* y (+ (* -1 (/ x (* y z))) (/ 1 z)))>
#<alt (* y (+ (* -1 (/ x (* y z))) (/ 1 z)))>
#<alt (/ y z)>
#<alt (* -1 (* y (- (/ x (* y z)) (/ 1 z))))>
#<alt (* -1 (* y (- (/ x (* y z)) (/ 1 z))))>
#<alt (* -1 (* y (- (/ x (* y z)) (/ 1 z))))>
#<alt (/ y z)>
#<alt (+ (* -1 (/ x z)) (/ y z))>
#<alt (+ (* -1 (/ x z)) (/ y z))>
#<alt (+ (* -1 (/ x z)) (/ y z))>
#<alt (* -1 (/ x z))>
#<alt (* x (- (/ y (* x z)) (/ 1 z)))>
#<alt (* x (- (/ y (* x z)) (/ 1 z)))>
#<alt (* x (- (/ y (* x z)) (/ 1 z)))>
#<alt (* -1 (/ x z))>
#<alt (* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))>
#<alt (* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))>
#<alt (* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (* -4 (/ (- y x) z))>
#<alt (/ (+ (* -4 (- y x)) (* -2 z)) z)>
#<alt (/ (+ (* -4 (- y x)) (* -2 z)) z)>
#<alt (/ (+ (* -4 (- y x)) (* -2 z)) z)>
#<alt -2>
#<alt (- (* -4 (/ (- y x) z)) 2)>
#<alt (- (* -4 (/ (- y x) z)) 2)>
#<alt (- (* -4 (/ (- y x) z)) 2)>
#<alt -2>
#<alt (- (* 4 (/ (- (* -1 y) (* -1 x)) z)) 2)>
#<alt (- (* 4 (/ (- (* -1 y) (* -1 x)) z)) 2)>
#<alt (- (* 4 (/ (- (* -1 y) (* -1 x)) z)) 2)>
#<alt (- (* 4 (/ x z)) 2)>
#<alt (- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)>
#<alt (- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)>
#<alt (- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)>
#<alt (* -4 (/ y z))>
#<alt (* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))>
#<alt (* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))>
#<alt (* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))>
#<alt (* -4 (/ y z))>
#<alt (* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))>
#<alt (- (* -4 (/ y z)) 2)>
#<alt (- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)>
#<alt (- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)>
#<alt (- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)>
#<alt (* 4 (/ x z))>
#<alt (* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))>
#<alt (* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))>
#<alt (* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))>
#<alt (* 4 (/ x z))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
Calls

36 calls:

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

rewrite627.0ms (7.7%)

Memory
-15.3MiB live, 509.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
7 060×accelerator-lowering-fma.f32
7 060×accelerator-lowering-fma.f64
4 738×*-lowering-*.f32
4 738×*-lowering-*.f64
3 360×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01233
17227
267623
0919622
Stop Event
iter limit
node limit
Counts
5 → 302
Calls
Call 1
Inputs
(- (/ 1 (/ z y)) (/ x z))
(/ 1 (/ z y))
(+ (* -4 (- (/ 1 (/ z y)) (/ x z))) -2)
(/ z y)
(/ x z)
Outputs
(+.f64 (/.f64 y z) (-.f64 #s(literal 0 binary64) (/.f64 x z)))
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 x z)) (/.f64 y z))
(+.f64 (/.f64 z (/.f64 (*.f64 z z) y)) (neg.f64 (/.f64 (*.f64 (/.f64 z y) x) (/.f64 (*.f64 z z) y))))
(+.f64 (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (fma.f64 y (/.f64 (/.f64 y z) z) (*.f64 (/.f64 x z) (/.f64 (-.f64 y (-.f64 #s(literal 0 binary64) x)) z)))) (neg.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z))) (fma.f64 y (/.f64 (/.f64 y z) z) (*.f64 (/.f64 x z) (/.f64 (-.f64 y (-.f64 #s(literal 0 binary64) x)) z))))))
(+.f64 (/.f64 (/.f64 (/.f64 (*.f64 y y) z) z) (/.f64 (-.f64 y (-.f64 #s(literal 0 binary64) x)) z)) (neg.f64 (/.f64 (/.f64 (*.f64 x x) (*.f64 z z)) (/.f64 (-.f64 y (-.f64 #s(literal 0 binary64) x)) z))))
(-.f64 (/.f64 y z) (/.f64 x z))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 x z) (/.f64 y z)))
(-.f64 (-.f64 #s(literal 0 binary64) (/.f64 x z)) (-.f64 #s(literal 0 binary64) (/.f64 y z)))
(-.f64 (/.f64 z (/.f64 (*.f64 z z) y)) (/.f64 (*.f64 (/.f64 z y) x) (/.f64 (*.f64 z z) y)))
(-.f64 (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (fma.f64 y (/.f64 (/.f64 y z) z) (*.f64 (/.f64 x z) (/.f64 (-.f64 y (-.f64 #s(literal 0 binary64) x)) z)))) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z))) (fma.f64 y (/.f64 (/.f64 y z) z) (*.f64 (/.f64 x z) (/.f64 (-.f64 y (-.f64 #s(literal 0 binary64) x)) z)))))
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 y y) z) z) (/.f64 (-.f64 y (-.f64 #s(literal 0 binary64) x)) z)) (/.f64 (/.f64 (*.f64 x x) (*.f64 z z)) (/.f64 (-.f64 y (-.f64 #s(literal 0 binary64) x)) z)))
(-.f64 (/.f64 (/.f64 z x) (/.f64 (/.f64 (*.f64 z z) y) x)) (/.f64 (/.f64 z y) (/.f64 (/.f64 (*.f64 z z) y) x)))
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 z x)) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 z z) y)) x)) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 z z) y)) x)))
(-.f64 (+.f64 (/.f64 y z) #s(literal 0 binary64)) (/.f64 x z))
(fma.f64 #s(literal 1 binary64) (/.f64 y z) (-.f64 #s(literal 0 binary64) (/.f64 x z)))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x z)) (/.f64 y z))
(fma.f64 z (/.f64 (/.f64 y z) z) (neg.f64 (/.f64 (*.f64 (/.f64 z y) x) (/.f64 (*.f64 z z) y))))
(fma.f64 y (/.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 0 binary64) (/.f64 x z)))
(fma.f64 (/.f64 y z) #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x z)))
(fma.f64 (/.f64 y z) (/.f64 z z) (neg.f64 (/.f64 (*.f64 (/.f64 z y) x) (/.f64 (*.f64 z z) y))))
(fma.f64 x (/.f64 #s(literal -1 binary64) z) (/.f64 y z))
(fma.f64 #s(literal -1 binary64) (/.f64 x z) (/.f64 y z))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y z)) (-.f64 #s(literal 0 binary64) (/.f64 x z)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) z) (/.f64 y z))
(fma.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal -1 binary64) z) (-.f64 #s(literal 0 binary64) (/.f64 x z)))
(fma.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 (/.f64 y z) z) (*.f64 (/.f64 x z) (/.f64 (-.f64 y (-.f64 #s(literal 0 binary64) x)) z)))) (neg.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z))) (fma.f64 y (/.f64 (/.f64 y z) z) (*.f64 (/.f64 x z) (/.f64 (-.f64 y (-.f64 #s(literal 0 binary64) x)) z))))))
(fma.f64 (/.f64 (/.f64 (*.f64 y y) z) z) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (-.f64 #s(literal 0 binary64) x)) z)) (neg.f64 (/.f64 (/.f64 (*.f64 x x) (*.f64 z z)) (/.f64 (-.f64 y (-.f64 #s(literal 0 binary64) x)) z))))
(fma.f64 (/.f64 #s(literal 1 binary64) z) y (-.f64 #s(literal 0 binary64) (/.f64 x z)))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 0 binary64) x) (/.f64 y z))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 z (/.f64 z y)) (neg.f64 (/.f64 (*.f64 (/.f64 z y) x) (/.f64 (*.f64 z z) y))))
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(fma.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 #s(literal 1 binary64) z) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)))
(fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) z)) y (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)))
(fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 #s(literal -1 binary64) z)) (-.f64 #s(literal 0 binary64) y) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)))
(fma.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (/.f64 z y) #s(literal -1/2 binary64))) (pow.f64 (/.f64 z y) #s(literal -1/2 binary64)) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)))
(neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (-.f64 y x) z) (*.f64 (/.f64 (-.f64 y x) z) (/.f64 (-.f64 y x) z))) #s(literal -64 binary64) #s(literal -8 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (fma.f64 (/.f64 (-.f64 y x) z) (*.f64 (/.f64 (-.f64 y x) z) #s(literal 16 binary64)) #s(literal 4 binary64)) (*.f64 (/.f64 (-.f64 y x) z) #s(literal -8 binary64))))))
(neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 y x) z) (*.f64 (/.f64 (-.f64 y x) z) #s(literal 16 binary64)) #s(literal -4 binary64)) (fma.f64 (/.f64 (-.f64 y x) z) #s(literal 4 binary64) #s(literal -2 binary64))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 (/.f64 (-.f64 y x) z) (*.f64 (/.f64 (-.f64 y x) z) (/.f64 (-.f64 y x) z))) #s(literal -64 binary64) #s(literal -8 binary64))) (+.f64 (fma.f64 (/.f64 (-.f64 y x) z) (*.f64 (/.f64 (-.f64 y x) z) #s(literal 16 binary64)) #s(literal 4 binary64)) (*.f64 (/.f64 (-.f64 y x) z) #s(literal -8 binary64)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (-.f64 y x) z) (*.f64 (/.f64 (-.f64 y x) z) #s(literal 16 binary64)) #s(literal -4 binary64))) (fma.f64 (/.f64 (-.f64 y x) z) #s(literal -4 binary64) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 y x) z) #s(literal -4 binary64) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 y x) z) #s(literal -4 binary64) #s(literal -2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 y x) z) (-.f64 (*.f64 (/.f64 (-.f64 y x) z) #s(literal 16 binary64)) #s(literal 8 binary64)))) (fma.f64 (*.f64 (/.f64 (-.f64 y x) z) (*.f64 (/.f64 (-.f64 y x) z) (/.f64 (-.f64 y x) z))) #s(literal -64 binary64) #s(literal -8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (*.f64 (/.f64 (-.f64 y x) z) #s(literal -4 binary64))) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 y x) z) (*.f64 (/.f64 (-.f64 y x) z) #s(literal 16 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 y x) z) #s(literal -4 binary64) #s(literal -2 binary64)))))
(/.f64 (fma.f64 (*.f64 (/.f64 (-.f64 y x) z) (*.f64 (/.f64 (-.f64 y x) z) (/.f64 (-.f64 y x) z))) #s(literal -64 binary64) #s(literal -8 binary64)) (+.f64 (fma.f64 (/.f64 (-.f64 y x) z) (*.f64 (/.f64 (-.f64 y x) z) #s(literal 16 binary64)) #s(literal 4 binary64)) (*.f64 (/.f64 (-.f64 y x) z) #s(literal -8 binary64))))
(/.f64 (fma.f64 (*.f64 (/.f64 (-.f64 y x) z) (*.f64 (/.f64 (-.f64 y x) z) (/.f64 (-.f64 y x) z))) #s(literal -64 binary64) #s(literal -8 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 y x) z) (-.f64 (*.f64 (/.f64 (-.f64 y x) z) #s(literal 16 binary64)) #s(literal 8 binary64)))))
(/.f64 (fma.f64 (/.f64 (-.f64 y x) z) (*.f64 (/.f64 (-.f64 y x) z) #s(literal 16 binary64)) #s(literal -4 binary64)) (fma.f64 (/.f64 (-.f64 y x) z) #s(literal -4 binary64) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 (/.f64 (-.f64 y x) z) (*.f64 (/.f64 (-.f64 y x) z) (/.f64 (-.f64 y x) z))) #s(literal -64 binary64) #s(literal -8 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (fma.f64 (/.f64 (-.f64 y x) z) (*.f64 (/.f64 (-.f64 y x) z) #s(literal 16 binary64)) #s(literal 4 binary64)) (*.f64 (/.f64 (-.f64 y x) z) #s(literal -8 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 (/.f64 (-.f64 y x) z) (*.f64 (/.f64 (-.f64 y x) z) (/.f64 (-.f64 y x) z))) #s(literal -64 binary64) #s(literal -8 binary64))) (neg.f64 (+.f64 #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 y x) z) (-.f64 (*.f64 (/.f64 (-.f64 y x) z) #s(literal 16 binary64)) #s(literal 8 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (-.f64 y x) z) (*.f64 (/.f64 (-.f64 y x) z) #s(literal 16 binary64)) #s(literal -4 binary64))) (fma.f64 (/.f64 (-.f64 y x) z) #s(literal 4 binary64) #s(literal -2 binary64)))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 y x) z) (*.f64 (/.f64 (-.f64 y x) z) #s(literal 16 binary64)))) (-.f64 #s(literal -2 binary64) (*.f64 (/.f64 (-.f64 y x) z) #s(literal -4 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (-.f64 y x) z) (*.f64 (/.f64 (-.f64 y x) z) #s(literal 16 binary64))) (fma.f64 (/.f64 (-.f64 y x) z) #s(literal -4 binary64) #s(literal 2 binary64))) (*.f64 (fma.f64 (/.f64 (-.f64 y x) z) #s(literal -4 binary64) #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (fma.f64 (/.f64 (-.f64 y x) z) #s(literal -4 binary64) #s(literal 2 binary64)) (fma.f64 (/.f64 (-.f64 y x) z) #s(literal -4 binary64) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 (/.f64 (-.f64 y x) z) (*.f64 (/.f64 (-.f64 y x) z) (/.f64 (-.f64 y x) z))) #s(literal -64 binary64) #s(literal -8 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (fma.f64 (/.f64 (-.f64 y x) z) (*.f64 (/.f64 (-.f64 y x) z) #s(literal 16 binary64)) #s(literal 4 binary64)) (*.f64 (/.f64 (-.f64 y x) z) #s(literal -8 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (-.f64 y x) z) (*.f64 (/.f64 (-.f64 y x) z) #s(literal 16 binary64)) #s(literal -4 binary64)))) (neg.f64 (fma.f64 (/.f64 (-.f64 y x) z) #s(literal 4 binary64) #s(literal -2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 y x) z) (*.f64 (/.f64 (-.f64 y x) z) #s(literal 16 binary64))))) (neg.f64 (-.f64 #s(literal -2 binary64) (*.f64 (/.f64 (-.f64 y x) z) #s(literal -4 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (/.f64 (-.f64 y x) z) (*.f64 (/.f64 (-.f64 y x) z) #s(literal 16 binary64))) (fma.f64 (/.f64 (-.f64 y x) z) #s(literal -4 binary64) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) (fma.f64 (/.f64 (-.f64 y x) z) #s(literal -4 binary64) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (/.f64 (-.f64 y x) z) (*.f64 (/.f64 (-.f64 y x) z) #s(literal 16 binary64))) (fma.f64 (/.f64 (-.f64 y x) z) #s(literal -4 binary64) #s(literal 2 binary64))) (/.f64 (*.f64 (/.f64 (-.f64 y x) z) (*.f64 (/.f64 (-.f64 y x) z) #s(literal 16 binary64))) (fma.f64 (/.f64 (-.f64 y x) z) #s(literal -4 binary64) #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal 4 binary64) (fma.f64 (/.f64 (-.f64 y x) z) #s(literal -4 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 (/.f64 (-.f64 y x) z) #s(literal -4 binary64) #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 (/.f64 (-.f64 y x) z) (*.f64 (/.f64 (-.f64 y x) z) #s(literal 16 binary64))) (fma.f64 (/.f64 (-.f64 y x) z) #s(literal -4 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 (/.f64 (-.f64 y x) z) #s(literal -4 binary64) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 (-.f64 y x) z) (*.f64 (/.f64 (-.f64 y x) z) #s(literal 16 binary64))) (fma.f64 (/.f64 (-.f64 y x) z) #s(literal -4 binary64) #s(literal 2 binary64))) (/.f64 (*.f64 (/.f64 (-.f64 y x) z) (*.f64 (/.f64 (-.f64 y x) z) #s(literal 16 binary64))) (fma.f64 (/.f64 (-.f64 y x) z) #s(literal -4 binary64) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 4 binary64) (fma.f64 (/.f64 (-.f64 y x) z) #s(literal -4 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 (/.f64 (-.f64 y x) z) #s(literal -4 binary64) #s(literal 2 binary64))))) (+.f64 (/.f64 (*.f64 (/.f64 (-.f64 y x) z) (*.f64 (/.f64 (-.f64 y x) z) #s(literal 16 binary64))) (fma.f64 (/.f64 (-.f64 y x) z) #s(literal -4 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 (/.f64 (-.f64 y x) z) #s(literal -4 binary64) #s(literal 2 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 y x) z) (*.f64 (/.f64 (-.f64 y x) z) (/.f64 (-.f64 y x) z))) #s(literal -64 binary64) #s(literal -8 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 (/.f64 (-.f64 y x) z) (*.f64 (/.f64 (-.f64 y x) z) #s(literal 16 binary64)) #s(literal 4 binary64)) (*.f64 (/.f64 (-.f64 y x) z) #s(literal -8 binary64))))
(/.f64 (*.f64 (fma.f64 (/.f64 (-.f64 y x) z) (*.f64 (/.f64 (-.f64 y x) z) #s(literal 16 binary64)) #s(literal -4 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 y x) z) #s(literal -4 binary64) #s(literal 2 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 y x) z) #s(literal -4 binary64) #s(literal -2 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 y x) z) #s(literal -4 binary64) #s(literal -2 binary64)))
(*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 y x) z) (*.f64 (/.f64 (-.f64 y x) z) (/.f64 (-.f64 y x) z))) #s(literal -64 binary64) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (/.f64 (-.f64 y x) z) (*.f64 (/.f64 (-.f64 y x) z) #s(literal 16 binary64)) #s(literal 4 binary64)) (*.f64 (/.f64 (-.f64 y x) z) #s(literal -8 binary64)))))
(*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 y x) z) (*.f64 (/.f64 (-.f64 y x) z) (/.f64 (-.f64 y x) z))) #s(literal -64 binary64) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 y x) z) (-.f64 (*.f64 (/.f64 (-.f64 y x) z) #s(literal 16 binary64)) #s(literal 8 binary64))))))
(*.f64 (fma.f64 (/.f64 (-.f64 y x) z) (*.f64 (/.f64 (-.f64 y x) z) #s(literal 16 binary64)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 y x) z) #s(literal -4 binary64) #s(literal 2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 (/.f64 (-.f64 y x) z) (*.f64 (/.f64 (-.f64 y x) z) (/.f64 (-.f64 y x) z))) #s(literal -64 binary64) #s(literal -8 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (fma.f64 (/.f64 (-.f64 y x) z) (*.f64 (/.f64 (-.f64 y x) z) #s(literal 16 binary64)) #s(literal 4 binary64)) (*.f64 (/.f64 (-.f64 y x) z) #s(literal -8 binary64))))))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (-.f64 y x) z) (*.f64 (/.f64 (-.f64 y x) z) #s(literal 16 binary64)) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 y x) z) #s(literal 4 binary64) #s(literal -2 binary64))))
(*.f64 (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 y x) z) (*.f64 (/.f64 (-.f64 y x) z) #s(literal 16 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) (*.f64 (/.f64 (-.f64 y x) z) #s(literal -4 binary64)))))
(exp.f64 (log.f64 (/.f64 z y)))
(exp.f64 (*.f64 (log.f64 (/.f64 y z)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 z y)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) (/.f64 z y)))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)))
(/.f64 #s(literal 1 binary64) (/.f64 y z))
(/.f64 z y)
(/.f64 (/.f64 z y) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y z)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) y))
(pow.f64 (/.f64 z y) #s(literal 1 binary64))
(pow.f64 (/.f64 y z) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 z y))
(*.f64 z (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 z y) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 z y)))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 #s(literal -1 binary64) y))
(*.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) z)
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (pow.f64 (pow.f64 (/.f64 z y) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 z y) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 y z) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y z) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 z x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x z)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) z)) (-.f64 #s(literal 0 binary64) (/.f64 x z)))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 x z)))
(neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x z)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 z x))
(/.f64 x z)
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 z x)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) z))
(/.f64 (*.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) z))
(pow.f64 (/.f64 z x) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x z))
(*.f64 x (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 x z) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x z)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) z))
(*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) z) x)
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)))

simplify394.0ms (4.9%)

Memory
13.6MiB live, 361.9MiB allocated
Algorithm
egg-herbie
Rules
6 722×accelerator-lowering-fma.f32
6 722×accelerator-lowering-fma.f64
2 934×*-lowering-*.f32
2 934×*-lowering-*.f64
1 454×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
076679
1223679
2658679
32169679
46277679
08076650
Stop Event
iter limit
node limit
Counts
144 → 144
Calls
Call 1
Inputs
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(* -1 (/ (- (* -1 y) (* -1 x)) z))
(* -1 (/ (- (* -1 y) (* -1 x)) z))
(* -1 (/ (- (* -1 y) (* -1 x)) z))
(* -1 (/ (- (* -1 y) (* -1 x)) z))
(* -1 (/ x z))
(- (/ y z) (/ x z))
(- (/ y z) (/ x z))
(- (/ y z) (/ x z))
(/ y z)
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(/ y z)
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(/ y z)
(+ (* -1 (/ x z)) (/ y z))
(+ (* -1 (/ x z)) (/ y z))
(+ (* -1 (/ x z)) (/ y z))
(* -1 (/ x z))
(* x (- (/ y (* x z)) (/ 1 z)))
(* x (- (/ y (* x z)) (/ 1 z)))
(* x (- (/ y (* x z)) (/ 1 z)))
(* -1 (/ x z))
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(* -4 (/ (- y x) z))
(/ (+ (* -4 (- y x)) (* -2 z)) z)
(/ (+ (* -4 (- y x)) (* -2 z)) z)
(/ (+ (* -4 (- y x)) (* -2 z)) z)
-2
(- (* -4 (/ (- y x) z)) 2)
(- (* -4 (/ (- y x) z)) 2)
(- (* -4 (/ (- y x) z)) 2)
-2
(- (* 4 (/ (- (* -1 y) (* -1 x)) z)) 2)
(- (* 4 (/ (- (* -1 y) (* -1 x)) z)) 2)
(- (* 4 (/ (- (* -1 y) (* -1 x)) z)) 2)
(- (* 4 (/ x z)) 2)
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(* -4 (/ y z))
(* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(* -4 (/ y z))
(* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))
(- (* -4 (/ y z)) 2)
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(* 4 (/ x z))
(* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))
(* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))
(* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))
(* 4 (/ x z))
(* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
Outputs
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(* -1 (/ (- (* -1 y) (* -1 x)) z))
(/.f64 (-.f64 y x) z)
(* -1 (/ (- (* -1 y) (* -1 x)) z))
(/.f64 (-.f64 y x) z)
(* -1 (/ (- (* -1 y) (* -1 x)) z))
(/.f64 (-.f64 y x) z)
(* -1 (/ (- (* -1 y) (* -1 x)) z))
(/.f64 (-.f64 y x) z)
(* -1 (/ x z))
(-.f64 #s(literal 0 binary64) (/.f64 x z))
(- (/ y z) (/ x z))
(/.f64 (-.f64 y x) z)
(- (/ y z) (/ x z))
(/.f64 (-.f64 y x) z)
(- (/ y z) (/ x z))
(/.f64 (-.f64 y x) z)
(/ y z)
(/.f64 y z)
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(/.f64 (-.f64 y x) z)
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(/.f64 (-.f64 y x) z)
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(/.f64 (-.f64 y x) z)
(/ y z)
(/.f64 y z)
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(/.f64 (-.f64 y x) z)
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(/.f64 (-.f64 y x) z)
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(/.f64 (-.f64 y x) z)
(/ y z)
(/.f64 y z)
(+ (* -1 (/ x z)) (/ y z))
(/.f64 (-.f64 y x) z)
(+ (* -1 (/ x z)) (/ y z))
(/.f64 (-.f64 y x) z)
(+ (* -1 (/ x z)) (/ y z))
(/.f64 (-.f64 y x) z)
(* -1 (/ x z))
(-.f64 #s(literal 0 binary64) (/.f64 x z))
(* x (- (/ y (* x z)) (/ 1 z)))
(/.f64 (-.f64 y x) z)
(* x (- (/ y (* x z)) (/ 1 z)))
(/.f64 (-.f64 y x) z)
(* x (- (/ y (* x z)) (/ 1 z)))
(/.f64 (-.f64 y x) z)
(* -1 (/ x z))
(-.f64 #s(literal 0 binary64) (/.f64 x z))
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(/.f64 (-.f64 y x) z)
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(/.f64 (-.f64 y x) z)
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(/.f64 (-.f64 y x) z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(* -4 (/ (- y x) z))
(/.f64 (*.f64 (-.f64 y x) #s(literal -4 binary64)) z)
(/ (+ (* -4 (- y x)) (* -2 z)) z)
(/.f64 (fma.f64 z #s(literal -2 binary64) (*.f64 (-.f64 y x) #s(literal -4 binary64))) z)
(/ (+ (* -4 (- y x)) (* -2 z)) z)
(/.f64 (fma.f64 z #s(literal -2 binary64) (*.f64 (-.f64 y x) #s(literal -4 binary64))) z)
(/ (+ (* -4 (- y x)) (* -2 z)) z)
(/.f64 (fma.f64 z #s(literal -2 binary64) (*.f64 (-.f64 y x) #s(literal -4 binary64))) z)
-2
#s(literal -2 binary64)
(- (* -4 (/ (- y x) z)) 2)
(fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
(- (* -4 (/ (- y x) z)) 2)
(fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
(- (* -4 (/ (- y x) z)) 2)
(fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(- (* 4 (/ (- (* -1 y) (* -1 x)) z)) 2)
(fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
(- (* 4 (/ (- (* -1 y) (* -1 x)) z)) 2)
(fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
(- (* 4 (/ (- (* -1 y) (* -1 x)) z)) 2)
(fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
(- (* 4 (/ x z)) 2)
(fma.f64 x (/.f64 #s(literal 4 binary64) z) #s(literal -2 binary64))
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
(* -4 (/ y z))
(fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal 0 binary64))
(* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
(* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
(* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
(* -4 (/ y z))
(fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal 0 binary64))
(* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))
(fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
(* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))
(fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
(* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))
(fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
(- (* -4 (/ y z)) 2)
(fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
(* 4 (/ x z))
(fma.f64 x (/.f64 #s(literal 4 binary64) z) #s(literal 0 binary64))
(* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))
(fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
(* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))
(fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
(* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))
(fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
(* 4 (/ x z))
(fma.f64 x (/.f64 #s(literal 4 binary64) z) #s(literal 0 binary64))
(* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))
(fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
(* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))
(fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
(* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))
(fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)

eval55.0ms (0.7%)

Memory
11.9MiB live, 128.0MiB allocated
Compiler

Compiled 8 731 to 1 031 computations (88.2% saved)

prune48.0ms (0.6%)

Memory
11.4MiB live, 127.2MiB allocated
Pruning

10 alts after pruning (0 fresh and 10 done)

PrunedKeptTotal
New4460446
Fresh000
Picked011
Done099
Total44610456
Accuracy
100.0%
Counts
456 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
64.9%
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
100.0%
(fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 y x) z) #s(literal -2 binary64))
66.3%
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
97.2%
(fma.f64 #s(literal -4 binary64) (-.f64 (/.f64 y z) (/.f64 x z)) #s(literal -2 binary64))
97.2%
(fma.f64 #s(literal -4 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 z y)) (/.f64 x z)) #s(literal -2 binary64))
69.9%
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
36.8%
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
37.2%
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
37.1%
(*.f64 (/.f64 #s(literal -4 binary64) z) y)
30.0%
#s(literal -2 binary64)
Compiler

Compiled 202 to 115 computations (43.1% saved)

regimes29.0ms (0.4%)

Memory
6.5MiB live, 54.2MiB allocated
Counts
13 → 1
Calls
Call 1
Inputs
#s(literal -2 binary64)
(*.f64 (/.f64 #s(literal -4 binary64) z) y)
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 y x) z) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
(fma.f64 #s(literal -4 binary64) (-.f64 (/.f64 y z) (/.f64 x z)) #s(literal -2 binary64))
(/.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y))) z))
(fma.f64 #s(literal -4 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 z y)) (/.f64 x z)) #s(literal -2 binary64))
(fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 z (*.f64 (/.f64 z y) x)) (*.f64 (/.f64 z y) z)) #s(literal -2 binary64))
Outputs
(fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 y x) z) #s(literal -2 binary64))
Calls

5 calls:

10.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
5.0ms
z
4.0ms
(-.f64 x y)
4.0ms
x
4.0ms
y
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
100.0%1(-.f64 x y)
Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes16.0ms (0.2%)

Memory
2.4MiB live, 41.6MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
#s(literal -2 binary64)
(*.f64 (/.f64 #s(literal -4 binary64) z) y)
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
Outputs
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
Calls

5 calls:

3.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
3.0ms
z
3.0ms
(-.f64 x y)
3.0ms
x
3.0ms
y
Results
AccuracySegmentsBranch
89.8%3x
91.6%4y
89.9%3z
98.6%3(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
86.7%4(-.f64 x y)
Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes13.0ms (0.2%)

Memory
-5.8MiB live, 32.4MiB allocated
Counts
6 → 3
Calls
Call 1
Inputs
#s(literal -2 binary64)
(*.f64 (/.f64 #s(literal -4 binary64) z) y)
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
Outputs
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
Calls

4 calls:

4.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
3.0ms
y
3.0ms
z
3.0ms
x
Results
AccuracySegmentsBranch
89.0%3x
71.0%2z
88.7%3y
71.6%4(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
Compiler

Compiled 26 to 19 computations (26.9% saved)

regimes8.0ms (0.1%)

Memory
-20.4MiB live, 19.1MiB allocated
Counts
5 → 3
Calls
Call 1
Inputs
#s(literal -2 binary64)
(*.f64 (/.f64 #s(literal -4 binary64) z) y)
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
Outputs
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
Calls

3 calls:

3.0ms
(-.f64 x y)
2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
68.1%2(-.f64 x y)
72.6%3y
84.2%3x
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes11.0ms (0.1%)

Memory
31.0MiB live, 31.0MiB allocated
Counts
4 → 6
Calls
Call 1
Inputs
#s(literal -2 binary64)
(*.f64 (/.f64 #s(literal -4 binary64) z) y)
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
Outputs
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
#s(literal -2 binary64)
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
Calls

5 calls:

2.0ms
x
2.0ms
z
2.0ms
(-.f64 x y)
2.0ms
y
2.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
Results
AccuracySegmentsBranch
52.7%3(-.f64 x y)
70.6%6(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
57.7%4z
63.4%5y
63.8%5x
Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes3.0ms (0%)

Memory
-34.9MiB live, 5.6MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
#s(literal -2 binary64)
(*.f64 (/.f64 #s(literal -4 binary64) z) y)
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
Outputs
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
#s(literal -2 binary64)
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
Calls

1 calls:

3.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
Results
AccuracySegmentsBranch
64.1%3(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes2.0ms (0%)

Memory
4.3MiB live, 4.3MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
#s(literal -2 binary64)
(*.f64 (/.f64 #s(literal -4 binary64) z) y)
Outputs
(*.f64 (/.f64 #s(literal -4 binary64) z) y)
#s(literal -2 binary64)
(*.f64 (/.f64 #s(literal -4 binary64) z) y)
Calls

1 calls:

1.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
Results
AccuracySegmentsBranch
64.0%3(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes7.0ms (0.1%)

Memory
17.9MiB live, 17.9MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal -2 binary64)
Outputs
#s(literal -2 binary64)
Calls

5 calls:

1.0ms
(-.f64 x y)
1.0ms
y
1.0ms
x
1.0ms
z
1.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
Results
AccuracySegmentsBranch
30.0%1(-.f64 x y)
30.0%1z
30.0%1y
30.0%1x
30.0%1(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
Compiler

Compiled 32 to 23 computations (28.1% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3254469.762404772
8.511990976993884e+20
0.0ms
-2.2804387890264317e+22
-4525924.36571961
Compiler

Compiled 17 to 16 computations (5.9% saved)

bsearch27.0ms (0.3%)

Memory
-13.6MiB live, 64.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
2.5154506998245938e+36
1.4952335704176264e+41
13.0ms
-2.5320749471012317e+56
-1.1013367847248359e+48
Samples
16.0ms272×0valid
Compiler

Compiled 357 to 288 computations (19.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-sub: 3.0ms (34.4% of total)
ival-div: 3.0ms (34.4% of total)
ival-mult: 3.0ms (34.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch22.0ms (0.3%)

Memory
6.1MiB live, 45.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
6.0ms
1.5242692207120884e+94
2.5374118738969254e+94
13.0ms
-4.304243747210119e+143
-1.5023034244557774e+128
Samples
13.0ms224×0valid
Compiler

Compiled 283 to 226 computations (20.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-sub: 3.0ms (39.8% of total)
ival-div: 2.0ms (26.5% of total)
ival-mult: 2.0ms (26.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.3189599202600966e+124
1.136393427713998e+130
0.0ms
-1.9997598625305342
3.5111797975404224
0.0ms
-2.2804387890264317e+22
-4525924.36571961
0.0ms
-5.307706660925986e+93
-1.5280224878445825e+89
0.0ms
-6.260240353196849e+252
-2.8874730779369446e+244
Compiler

Compiled 17 to 16 computations (5.9% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-1.9997598625305342
3.5111797975404224
0.0ms
-17.644645262277443
-2.00394264467461
Compiler

Compiled 17 to 16 computations (5.9% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-1.9997598625305342
3.5111797975404224
0.0ms
-17.644645262277443
-2.00394264467461
Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify14.0ms (0.2%)

Memory
-12.1MiB live, 29.1MiB allocated
Algorithm
egg-herbie
Rules
22×*-commutative_binary64
16×+-commutative_binary64
16×sub-neg_binary64
10×neg-sub0_binary64
10×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064258
192258
2109258
3119258
4125258
5126258
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 y x) z) #s(literal -2 binary64))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -20000000000000000000000 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal 5000000 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)))
(if (<=.f64 x #s(literal -1800000000000000072868299344085546223474727053441368064 binary64)) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)) (if (<=.f64 x #s(literal 1150000000000000059113909661398005186560 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))))
(if (<=.f64 x #s(literal -149999999999999998309219060783035650854759006696223826356975919813926799406253598196190665926003550664126207937295172282295395414966272 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) x) z) (if (<=.f64 x #s(literal 22000000000000001185884711916254484459528423166318480565958992696675697962488152456535381901312 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) x) z)))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -4999999999999999681793534688837958868212853663785036782419720361679078139026353774446693497293473788990517591304702846227575332082657167871886131204710002780090859851360619284064431218701999138176915986960331575388717979146899858120583984847024514138112 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) x) z) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -5000000000000000101094395635779734942880481616071788705688884281040020024990821546793489137664 binary64)) (/.f64 (*.f64 #s(literal -4 binary64) y) z) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -20000000000000000000000 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) x) z) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)) #s(literal -2 binary64) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal 19999999999999998967063748934624286428789536754564174703921029226169858140974054838505074898178041767770400845226851252043776 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) x) z) (/.f64 (*.f64 #s(literal -4 binary64) y) z))))))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -10 binary64)) (/.f64 (*.f64 #s(literal -4 binary64) y) z) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) y) z)))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -10 binary64)) (*.f64 (/.f64 #s(literal -4 binary64) z) y) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)) #s(literal -2 binary64) (*.f64 (/.f64 #s(literal -4 binary64) z) y)))
#s(literal -2 binary64)
Outputs
(fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 y x) z) #s(literal -2 binary64))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -20000000000000000000000 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal 5000000 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)))
(if (<=.f64 x #s(literal -1800000000000000072868299344085546223474727053441368064 binary64)) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)) (if (<=.f64 x #s(literal 1150000000000000059113909661398005186560 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))))
(if (<=.f64 x #s(literal -149999999999999998309219060783035650854759006696223826356975919813926799406253598196190665926003550664126207937295172282295395414966272 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) x) z) (if (<=.f64 x #s(literal 22000000000000001185884711916254484459528423166318480565958992696675697962488152456535381901312 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) x) z)))
(if (<=.f64 x #s(literal -149999999999999998309219060783035650854759006696223826356975919813926799406253598196190665926003550664126207937295172282295395414966272 binary64)) (/.f64 (*.f64 x #s(literal 4 binary64)) z) (if (<=.f64 x #s(literal 22000000000000001185884711916254484459528423166318480565958992696675697962488152456535381901312 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)) (/.f64 (*.f64 x #s(literal 4 binary64)) z)))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -4999999999999999681793534688837958868212853663785036782419720361679078139026353774446693497293473788990517591304702846227575332082657167871886131204710002780090859851360619284064431218701999138176915986960331575388717979146899858120583984847024514138112 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) x) z) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -5000000000000000101094395635779734942880481616071788705688884281040020024990821546793489137664 binary64)) (/.f64 (*.f64 #s(literal -4 binary64) y) z) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -20000000000000000000000 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) x) z) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)) #s(literal -2 binary64) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal 19999999999999998967063748934624286428789536754564174703921029226169858140974054838505074898178041767770400845226851252043776 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) x) z) (/.f64 (*.f64 #s(literal -4 binary64) y) z))))))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -4999999999999999681793534688837958868212853663785036782419720361679078139026353774446693497293473788990517591304702846227575332082657167871886131204710002780090859851360619284064431218701999138176915986960331575388717979146899858120583984847024514138112 binary64)) (/.f64 (*.f64 x #s(literal 4 binary64)) z) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -5000000000000000101094395635779734942880481616071788705688884281040020024990821546793489137664 binary64)) (/.f64 (*.f64 #s(literal -4 binary64) y) z) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -20000000000000000000000 binary64)) (/.f64 (*.f64 x #s(literal 4 binary64)) z) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)) #s(literal -2 binary64) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal 19999999999999998967063748934624286428789536754564174703921029226169858140974054838505074898178041767770400845226851252043776 binary64)) (/.f64 (*.f64 x #s(literal 4 binary64)) z) (/.f64 (*.f64 #s(literal -4 binary64) y) z))))))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -10 binary64)) (/.f64 (*.f64 #s(literal -4 binary64) y) z) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) y) z)))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -10 binary64)) (*.f64 (/.f64 #s(literal -4 binary64) z) y) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)) #s(literal -2 binary64) (*.f64 (/.f64 #s(literal -4 binary64) z) y)))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -10 binary64)) (*.f64 y (/.f64 #s(literal -4 binary64) z)) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)) #s(literal -2 binary64) (*.f64 y (/.f64 #s(literal -4 binary64) z))))
#s(literal -2 binary64)

soundness813.0ms (10%)

Memory
28.1MiB live, 535.2MiB allocated
Rules
9 634×accelerator-lowering-fma.f32
9 634×accelerator-lowering-fma.f64
6 516×accelerator-lowering-fma.f32
6 516×accelerator-lowering-fma.f64
6 094×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01271088
13901087
211191031
33263885
08234800
0921246
12611156
27551060
323101060
452321060
574451060
080111013
01743
18843
270343
0805241
Stop Event
done
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 394 to 151 computations (61.7% saved)

preprocess71.0ms (0.9%)

Memory
6.5MiB live, 162.8MiB allocated
Compiler

Compiled 628 to 170 computations (72.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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